GET /api/ishell_4517nm_5240nm_iras_18247minus0436/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.5170146725799185,
        4.517034700049985,
        4.517054727520051,
        4.517074754990118,
        4.517094782460185,
        4.517114809930251,
        4.517135314244843,
        4.5171553417149095,
        4.517175369184976,
        4.517195396655042,
        4.517215424125109,
        4.517235451595175,
        4.517255479065242,
        4.5172755065353085,
        4.517295534005375,
        4.517315561475441,
        4.517335588945508,
        4.517355616415574,
        4.517375643885641,
        4.5173956713557075,
        4.517415698825774,
        4.51743572629584,
        4.517455753765907,
        4.517475781235973,
        4.51749580870604,
        4.5176360009965055,
        4.517656028466572,
        4.517676055936638,
        4.51769560656218,
        4.517715634032246,
        4.5177356615023125,
        4.517755688972379,
        4.517775716442445,
        4.517795743912512,
        4.517815771382579,
        4.517835798852645,
        4.5178558263227115,
        4.517875853792778,
        4.517895881262844,
        4.517915908732911,
        4.517935936202978,
        4.5186941189983525,
        4.518714146468419,
        4.518734173938485,
        4.518753724564026,
        4.518773752034093,
        4.5187937795041595,
        4.518813806974226,
        4.518833357599767,
        4.518853385069834,
        4.5188734125399,
        4.5188934400099665,
        4.518912990635507,
        4.5189330181055745,
        4.518953045575641,
        4.518973073045707,
        4.518992623671248,
        4.519012651141314,
        4.5190326786113815,
        4.519052706081448,
        4.5190722567069885,
        4.519092284177055,
        4.519112311647122,
        4.5191323391171885,
        4.519151889742729,
        4.5191719172127955,
        4.519191944682863,
        4.5192114953084035,
        4.51923152277847,
        4.519251550248536,
        4.519271577718603,
        4.519291128344144,
        4.5193111558142105,
        4.519331183284277,
        4.5193507339098185,
        4.519370761379885,
        4.519390788849951,
        4.519410339475493,
        4.519430366945559,
        4.5194503944156255,
        4.519469945041166,
        4.5194899725112325,
        4.5195099999813,
        4.5195295506068405,
        4.519549578076907,
        4.519569605546973,
        4.519589156172515,
        4.519609183642581,
        4.519628734268123,
        4.519648761738189,
        4.519668789208255,
        4.519688339833796,
        4.5197083673038625,
        4.51972839477393,
        4.5197479453994704,
        4.519767972869537,
        4.519787523495078,
        4.519807550965145,
        4.519827578435211,
        4.52056048847074,
        4.520580039096282,
        4.520600066566348,
        4.520619617191889,
        4.520639644661955,
        4.520659195287497,
        4.520679222757563,
        4.520698773383104,
        4.520718800853171,
        4.520738351478712,
        4.520757902104252,
        4.52077792957432,
        4.52079748019986,
        4.520817507669927,
        4.520837058295468,
        4.520857085765535,
        4.520876636391075,
        4.520896663861142,
        4.520916214486683,
        4.520935765112224,
        4.520955792582291,
        4.520975343207832,
        4.520995370677898,
        4.52101492130344,
        4.521034471928981,
        4.521054499399047,
        4.5210740500245885,
        4.521094077494655,
        4.521113628120196,
        4.521133178745737,
        4.5211532062158035,
        4.521172756841344,
        4.5211927843114115,
        4.521212334936952,
        4.521231885562493,
        4.52125191303256,
        4.521271463658101,
        4.5212910142836416,
        4.521311041753709,
        4.5213305923792495,
        4.521350619849316,
        4.5213701704748575,
        4.521389721100398,
        4.5214097485704645,
        4.521429299196006,
        4.521448849821547,
        4.521468877291613,
        4.521488427917155,
        4.5215079785426955,
        4.521528006012762,
        4.521547556638303,
        4.521567107263844,
        4.521587134733911,
        4.521606685359452,
        4.521626235984993,
        4.521645786610534,
        4.521665814080601,
        4.521685364706142,
        4.521704915331683,
        4.521724942801749,
        4.522471681328515,
        4.5225308100496635,
        4.522550360675204,
        4.522569911300746,
        4.5225894619262865,
        4.522609012551828,
        4.5226290400218945,
        4.522648590647435,
        4.522668141272977,
        4.5226876918985175,
        4.522707242524059,
        4.5227267931496,
        4.522746343775141,
        4.522766371245208,
        4.5227859218707485,
        4.52280547249629,
        4.522825023121831,
        4.522844573747372,
        4.522864124372913,
        4.522883674998455,
        4.522903225623995,
        4.522922776249536,
        4.522942326875078,
        4.522962354345144,
        4.522981904970686,
        4.523001455596226,
        4.523021006221767,
        4.523040556847309,
        4.523060107472849,
        4.523079658098391,
        4.523099208723932,
        4.523118759349473,
        4.523138309975014,
        4.523157860600556,
        4.523177411226096,
        4.523196961851637,
        4.523216512477179,
        4.523236063102719,
        4.523255613728261,
        4.523275641198327,
        4.523295191823868,
        4.52331474244941,
        4.52333429307495,
        4.523353843700492,
        4.523373394326033,
        4.523392944951574,
        4.523412495577115,
        4.5234320462026565,
        4.523451596828197,
        4.523471147453739,
        4.5234906980792795,
        4.52351024870482,
        4.523529799330362,
        4.5235493499559025,
        4.523568900581444,
        4.523588451206985,
        4.523608001832526,
        4.523627552458067,
        4.523647103083609,
        4.523666653709149,
        4.5243685688505275,
        4.524388119476069,
        4.52440767010161,
        4.524427220727151,
        4.524446771352692,
        4.524466321978234,
        4.524485395759249,
        4.52450494638479,
        4.524524497010331,
        4.524544047635873,
        4.524563598261413,
        4.524583148886955,
        4.52460222266797,
        4.524621773293512,
        4.524641323919052,
        4.524660874544594,
        4.524680425170135,
        4.524699498951151,
        4.524719049576691,
        4.524738600202233,
        4.524758150827774,
        4.524777701453315,
        4.52479677523433,
        4.524816325859872,
        4.524835876485413,
        4.524855427110954,
        4.524874977736495,
        4.524894051517511,
        4.524913602143052,
        4.524933152768593,
        4.524952703394134,
        4.52497177717515,
        4.524991327800691,
        4.525010878426232,
        4.525030429051773,
        4.525049502832789,
        4.52506905345833,
        4.525088604083871,
        4.525108154709412,
        4.525127228490428,
        4.525146779115969,
        4.52516632974151,
        4.525185403522526,
        4.525204954148067,
        4.525224504773608,
        4.525244055399149,
        4.525263129180165,
        4.525282679805706,
        4.525302230431247,
        4.525321304212262,
        4.525340854837804,
        4.525360405463345,
        4.525379479244361,
        4.525399029869902,
        4.525418580495443,
        4.525438131120984,
        4.525457204902,
        4.525476755527541,
        4.525496306153082,
        4.525515379934098,
        4.525534930559639,
        4.52555448118518,
        4.525573554966195,
        4.525593105591737,
        4.525612179372753,
        4.526328399849893,
        4.526347950475434,
        4.52636702425645,
        4.5263865748819905,
        4.526405648663006,
        4.526425199288547,
        4.526444273069563,
        4.526463823695105,
        4.52648289747612,
        4.526502448101661,
        4.526521521882676,
        4.526541072508218,
        4.526560146289234,
        4.526579696914775,
        4.526598770695791,
        4.526618321321331,
        4.526637395102347,
        4.526656945727888,
        4.526676019508904,
        4.526695570134446,
        4.526714643915461,
        4.526734194541002,
        4.526753268322018,
        4.526772818947559,
        4.526791892728575,
        4.52681096650959,
        4.5268305171351315,
        4.5268495909161475,
        4.526869141541688,
        4.526888215322704,
        4.526907765948245,
        4.526926839729261,
        4.526945913510277,
        4.5269654641358175,
        4.526984537916833,
        4.527004088542374,
        4.52702316232339,
        4.527042712948932,
        4.527061786729947,
        4.527080860510963,
        4.527100411136503,
        4.527119484917519,
        4.527139035543061,
        4.527158109324076,
        4.527177183105092,
        4.527196733730634,
        4.527215807511649,
        4.527234881292665,
        4.527254431918205,
        4.527273505699221,
        4.527293056324763,
        4.527312130105778,
        4.527331203886794,
        4.5273507545123355,
        4.5273698282933506,
        4.5273889020743665,
        4.527408452699907,
        4.527427526480923,
        4.527446600261939,
        4.52746615088748,
        4.527485224668496,
        4.527504298449512,
        4.5275238490750525,
        4.528195723011331,
        4.528215273636873,
        4.5282343474178886,
        4.528253421198904,
        4.52827249497992,
        4.5282915687609355,
        4.528311119386476,
        4.528330193167492,
        4.528349266948508,
        4.528368340729523,
        4.528387414510539,
        4.528406965136081,
        4.528426038917096,
        4.528445112698112,
        4.528464186479128,
        4.528483260260143,
        4.528502334041159,
        4.5285218846667,
        4.528540958447715,
        4.528560032228731,
        4.528579106009747,
        4.528598179790763,
        4.528617253571778,
        4.528636327352794,
        4.528655877978335,
        4.528674951759351,
        4.528694025540367,
        4.528713099321383,
        4.528732173102398,
        4.528751246883414,
        4.52877032066443,
        4.528789871289971,
        4.5288089450709865,
        4.5288280188520025,
        4.528847092633018,
        4.5288661664140335,
        4.5288852401950495,
        4.528904313976065,
        4.5289233877570805,
        4.528942461538096,
        4.528961535319112,
        4.528981085944653,
        4.529000159725669,
        4.529019233506685,
        4.529038307287701,
        4.529057381068716,
        4.529076454849732,
        4.529095528630748,
        4.529114602411763,
        4.529133676192779,
        4.529152749973795,
        4.529171823754811,
        4.529190897535826,
        4.529209971316842,
        4.529229045097858,
        4.529248118878874,
        4.529267192659889,
        4.529286266440905,
        4.529305340221921,
        4.5293248908474615,
        4.529343964628477,
        4.529363038409493,
        4.5293821121905085,
        4.529401185971524,
        4.52942025975254,
        4.529439333533556,
        4.529458407314571,
        4.529477481095587,
        4.5301441097420865,
        4.530163183523102,
        4.530182257304118,
        4.530200854240609,
        4.530219928021624,
        4.53023900180264,
        4.530258075583656,
        4.530277149364672,
        4.530296223145687,
        4.530315296926703,
        4.530333893863193,
        4.530352967644209,
        4.530372041425225,
        4.53039111520624,
        4.530410188987256,
        4.530429262768272,
        4.530448336549288,
        4.530466933485778,
        4.530486007266793,
        4.530505081047809,
        4.530524154828825,
        4.53054322860984,
        4.530562302390856,
        4.530580899327346,
        4.530599973108362,
        4.530619046889378,
        4.530638120670393,
        4.530657194451409,
        4.5306757913879,
        4.530694865168916,
        4.530713938949932,
        4.530733012730947,
        4.530752086511963,
        4.530770683448453,
        4.530789757229469,
        4.530808831010485,
        4.5308279047915,
        4.53084650172799,
        4.530865575509006,
        4.530884649290022,
        4.530903723071038,
        4.530922796852053,
        4.530941393788543,
        4.530960467569559,
        4.530979541350575,
        4.53099861513159,
        4.531017212068081,
        4.531036285849097,
        4.531055359630113,
        4.531074433411129,
        4.531093030347619,
        4.531112104128634,
        4.53113117790965,
        4.53114977484614,
        4.531168848627156,
        4.531187922408172,
        4.531206996189187,
        4.5312255931256775,
        4.5312446669066935,
        4.531263740687709,
        4.5312823376242,
        4.531301411405216,
        4.531320485186231,
        4.531339082122721,
        4.531358155903737,
        4.531377229684753,
        4.531396303465769,
        4.531414900402259,
        4.531433974183274,
        4.53145304796429,
        4.531471644900781,
        4.5314907186817965,
        4.531509792462812,
        4.532113954476485,
        4.5321330282575,
        4.532151625193991,
        4.532170698975007,
        4.532189295911497,
        4.532208369692513,
        4.532226966629003,
        4.532246040410019,
        4.532264637346509,
        4.5322837111275245,
        4.532302308064015,
        4.532321381845031,
        4.532339978781521,
        4.532359052562537,
        4.532378126343552,
        4.532396723280042,
        4.532415797061058,
        4.532434393997549,
        4.532453467778565,
        4.532472064715055,
        4.532491138496071,
        4.532509735432561,
        4.532528809213576,
        4.532547406150067,
        4.532566003086557,
        4.532585076867573,
        4.532603673804063,
        4.532622747585079,
        4.532641344521569,
        4.532660418302585,
        4.532679015239076,
        4.532698089020091,
        4.532716685956581,
        4.532735759737597,
        4.532754356674087,
        4.532773430455103,
        4.532792027391594,
        4.532810624328084,
        4.5328296981091,
        4.53284829504559,
        4.532867368826605,
        4.5328859657630955,
        4.5329050395441115,
        4.532923636480602,
        4.532942233417092,
        4.532961307198108,
        4.532979904134598,
        4.532998977915614,
        4.533017574852105,
        4.53303664863312,
        4.53305524556961,
        4.5330738425061,
        4.533092916287116,
        4.533111513223607,
        4.533130110160097,
        4.533149183941113,
        4.533167780877603,
        4.533186854658619,
        4.5332054515951095,
        4.5332240485316,
        4.533243122312615,
        4.533261719249105,
        4.5332803161855955,
        4.533299389966611,
        4.533317986903102,
        4.533337060684118,
        4.533355657620608,
        4.533374254557098,
        4.533393328338114,
        4.533411925274605,
        4.533430522211095,
        4.53344959599211,
        4.5334681929286,
        4.53410478037,
        4.53412337730649,
        4.534142451087506,
        4.534161048023996,
        4.534179644960487,
        4.534198241896977,
        4.534217315677993,
        4.534235912614483,
        4.534254509550974,
        4.534273106487464,
        4.534291703423954,
        4.534310300360445,
        4.5343293741414605,
        4.534347971077951,
        4.534366568014441,
        4.5343851649509315,
        4.534403761887422,
        4.534422835668438,
        4.534441432604928,
        4.534460029541418,
        4.534478626477909,
        4.534497223414399,
        4.534515820350889,
        4.53453441728738,
        4.534553491068395,
        4.534572088004885,
        4.534590684941375,
        4.534609281877866,
        4.534627878814356,
        4.534646475750846,
        4.5346650726873365,
        4.5346841464683525,
        4.534702743404843,
        4.534721340341333,
        4.534739937277823,
        4.534758534214314,
        4.534777131150804,
        4.534795728087294,
        4.534814325023785,
        4.534832921960275,
        4.534851995741291,
        4.534870592677781,
        4.534889189614272,
        4.534907786550762,
        4.534926383487252,
        4.5349449804237425,
        4.534963577360233,
        4.534982174296723,
        4.535000771233213,
        4.535019368169704,
        4.535037965106194,
        4.535056562042684,
        4.535075158979175,
        4.535094232760191,
        4.535112829696681,
        4.535131426633171,
        4.535150023569662,
        4.535168620506152,
        4.535187217442642,
        4.5352058143791325,
        4.535224411315623,
        4.535243008252113,
        4.535261605188603,
        4.535280202125094,
        4.535298799061584,
        4.535317395998074,
        4.535335992934565,
        4.535354589871055,
        4.535373186807545,
        4.535391783744036,
        4.535410380680526,
        4.535428977617016,
        4.5354475745535066,
        4.535466171489997,
        4.535484768426487,
        4.5355033653629775,
        4.536116110578107,
        4.536134230670072,
        4.536152827606562,
        4.536171424543053,
        4.536190021479544,
        4.536208618416034,
        4.5362272153525245,
        4.536245812289015,
        4.536264409225505,
        4.53628252931747,
        4.53630112625396,
        4.53631972319045,
        4.536338320126941,
        4.536356917063431,
        4.536375513999921,
        4.536393634091886,
        4.536412231028376,
        4.536430827964867,
        4.536486618774338,
        4.536504738866303,
        4.536523335802793,
        4.536541932739284,
        4.536560529675774,
        4.536579126612264,
        4.536597246704229,
        4.536615843640719,
        4.53663444057721,
        4.5366530375137,
        4.53667163445019,
        4.536689754542155,
        4.536708351478645,
        4.536726948415136,
        4.536745545351626,
        4.536763665443591,
        4.536782262380082,
        4.536800859316572,
        4.536819456253062,
        4.536837576345027,
        4.536856173281517,
        4.536874770218008,
        4.536893367154498,
        4.536911487246463,
        4.536930084182953,
        4.536948681119443,
        4.536967278055934,
        4.536985398147899,
        4.5370039950843895,
        4.53702259202088,
        4.53704118895737,
        4.537059309049335,
        4.537077905985825,
        4.537096502922315,
        4.53711462301428,
        4.53713321995077,
        4.537151816887261,
        4.537170413823751,
        4.5371885339157165,
        4.537207130852207,
        4.537225727788697,
        4.537243847880662,
        4.537262444817152,
        4.537281041753642,
        4.537299161845607,
        4.537317758782097,
        4.537336355718588,
        4.537354475810553,
        4.537373072747044,
        4.537391669683534,
        4.537409789775499,
        4.537428386711989,
        4.537446983648479,
        4.537465103740444,
        4.537483700676934,
        4.5375022976134245,
        4.53752041770539,
        4.5382013516876505,
        4.538329622864981,
        4.538348219801471,
        4.538366339893437,
        4.538384936829927,
        4.538403056921892,
        4.538421653858382,
        4.538439773950347,
        4.538458370886837,
        4.538476490978803,
        4.538495087915293,
        4.538513208007258,
        4.538531804943748,
        4.538549925035713,
        4.538568521972203,
        4.5385866420641685,
        4.538604762156133,
        4.5386233590926235,
        4.538641479184588,
        4.5386600761210785,
        4.538678196213044,
        4.538696793149534,
        4.538714913241499,
        4.538733510177989,
        4.538751630269954,
        4.538769750361919,
        4.538788347298409,
        4.5388064673903745,
        4.538825064326865,
        4.5388431844188295,
        4.538861304510794,
        4.5388799014472845,
        4.53889802153925,
        4.53891661847574,
        4.538934738567705,
        4.53895285865967,
        4.53897145559616,
        4.5389895756881256,
        4.539008172624616,
        4.5390262927165805,
        4.539044412808545,
        4.5390630097450355,
        4.539081129837001,
        4.539099726773491,
        4.539117846865456,
        4.539135966957421,
        4.539154563893911,
        4.539172683985876,
        4.539190804077841,
        4.539209401014332,
        4.539227521106296,
        4.539245641198261,
        4.539264238134751,
        4.539282358226717,
        4.539300478318681,
        4.539319075255172,
        4.539337195347136,
        4.539355315439102,
        4.539373912375592,
        4.539392032467557,
        4.539410152559522,
        4.539428749496012,
        4.539446869587977,
        4.539464989679942,
        4.5394835866164325,
        4.539501706708397,
        4.539519826800362,
        4.539537946892327,
        4.539556543828818,
        4.539574663920782,
        4.540212681895758,
        4.540230801987723,
        4.540248922079688,
        4.5402675190161785,
        4.540285639108143,
        4.540303759200108,
        4.540321879292073,
        4.540339999384038,
        4.540358119476003,
        4.540376716412493,
        4.540394836504458,
        4.540412956596423,
        4.540431076688388,
        4.540449196780353,
        4.540467316872318,
        4.540485436964283,
        4.540504033900773,
        4.540522153992738,
        4.5405402740847025,
        4.540558394176668,
        4.540576514268633,
        4.540594634360597,
        4.540612754452563,
        4.540630874544528,
        4.540648994636492,
        4.540667591572983,
        4.540685711664948,
        4.540703831756913,
        4.5407219518488775,
        4.540740071940842,
        4.540758192032808,
        4.540776312124772,
        4.540794432216737,
        4.540812552308703,
        4.540830672400667,
        4.540848792492632,
        4.5408669125845975,
        4.540885032676562,
        4.5409036296130525,
        4.540921749705017,
        4.540939869796982,
        4.540957989888947,
        4.540976109980912,
        4.540994230072877,
        4.541012350164842,
        4.541030470256807,
        4.541048590348772,
        4.541066710440736,
        4.541084830532702,
        4.5411029506246665,
        4.541121070716631,
        4.541139190808597,
        4.541157310900561,
        4.541175430992526,
        4.541193551084492,
        4.541211671176456,
        4.541229791268421,
        4.541247911360386,
        4.541266031452351,
        4.541284151544316,
        4.5413022716362805,
        4.541320391728246,
        4.541338511820211,
        4.541356631912175,
        4.54137475200414,
        4.541392872096106,
        4.54141099218807,
        4.541429112280035,
        4.5414472323720005,
        4.541465352463965,
        4.54148347255593,
        4.541501592647895,
        4.54151971273986,
        4.541537832831825,
        4.541555952923789,
        4.541574073015755,
        4.541591716263194,
        4.54160983635516,
        4.541627956447124,
        4.542188248764461,
        4.542206368856426,
        4.5422240121038655,
        4.54224213219583,
        4.542260252287795,
        4.54227837237976,
        4.542296492471725,
        4.542314135719165,
        4.54233225581113,
        4.542350375903094,
        4.542368495995059,
        4.5423866160870245,
        4.542404736178989,
        4.542422379426429,
        4.542440499518394,
        4.5424586196103585,
        4.542476739702323,
        4.542494382949763,
        4.542512503041728,
        4.542530623133693,
        4.542548743225658,
        4.542566863317623,
        4.5425845065650625,
        4.542602626657027,
        4.542620746748992,
        4.542638866840957,
        4.542656510088396,
        4.542674630180362,
        4.542692750272327,
        4.542710870364291,
        4.542728513611731,
        4.542746633703696,
        4.542764753795661,
        4.542782873887626,
        4.542800517135065,
        4.54281863722703,
        4.542836757318995,
        4.542854400566434,
        4.5428725206584,
        4.542890640750365,
        4.542908760842329,
        4.542926404089769,
        4.542944524181734,
        4.542962644273699,
        4.5429802875211385,
        4.542998407613103,
        4.543016527705069,
        4.543034647797033,
        4.543052291044472,
        4.543070411136438,
        4.543088531228403,
        4.5431061744758425,
        4.543124294567807,
        4.543142414659772,
        4.543160057907212,
        4.5431781779991764,
        4.543196298091141,
        4.543213941338581,
        4.543232061430546,
        4.543250181522511,
        4.54326782476995,
        4.543285944861915,
        4.543303588109355,
        4.5433217082013195,
        4.543339828293285,
        4.543357471540724,
        4.543375591632689,
        4.543393711724654,
        4.543411354972093,
        4.543429475064059,
        4.543447595156024,
        4.543465238403463,
        4.543483358495428,
        4.543501001742867,
        4.543519121834833,
        4.543537241926797,
        4.543554885174237,
        4.543573005266202,
        4.543590648513641,
        4.543608768605607,
        4.543626888697571,
        4.543644531945011,
        4.543662652036976,
        4.543680295284415,
        4.544235342311973,
        4.544271105651377,
        4.544288748898817,
        4.544306868990781,
        4.544324512238221,
        4.54434215548566,
        4.544360275577626,
        4.544377918825065,
        4.54439603891703,
        4.544413682164469,
        4.544431802256434,
        4.544449445503874,
        4.544467565595839,
        4.544485208843279,
        4.544502852090718,
        4.544520972182683,
        4.544538615430122,
        4.544556735522088,
        4.544574378769527,
        4.544592498861492,
        4.544610142108931,
        4.544627785356371,
        4.544645905448336,
        4.544663548695776,
        4.5446816687877405,
        4.5446993120351795,
        4.544716955282619,
        4.544735075374584,
        4.544752718622024,
        4.544770838713989,
        4.544788481961429,
        4.544806125208868,
        4.544824245300833,
        4.544841888548272,
        4.544859531795712,
        4.544877651887677,
        4.544895295135117,
        4.544913415227081,
        4.544931058474521,
        4.54494870172196,
        4.544966821813925,
        4.544984465061365,
        4.545002108308805,
        4.5450202284007695,
        4.5450378716482085,
        4.545055514895648,
        4.545073634987613,
        4.545091278235053,
        4.545108921482492,
        4.545127041574458,
        4.545144684821897,
        4.5451623280693365,
        4.545180448161301,
        4.545198091408741,
        4.54521573465618,
        4.545233854748146,
        4.545251497995585,
        4.545269141243025,
        4.545286784490464,
        4.545304904582429,
        4.545322547829868,
        4.545340191077308,
        4.545358311169273,
        4.545375954416713,
        4.545393597664152,
        4.545411240911592,
        4.545429361003556,
        4.545447004250996,
        4.545464647498435,
        4.545482767590401,
        4.54550041083784,
        4.54551805408528,
        4.545535697332719,
        4.545553817424684,
        4.545571460672123,
        4.545589103919563,
        4.5462981717288224,
        4.5463158149762615,
        4.546333935068227,
        4.546351578315666,
        4.546369221563106,
        4.546386864810545,
        4.546404508057985,
        4.546422151305425,
        4.546439794552864,
        4.546457437800304,
        4.546475081047743,
        4.546492724295183,
        4.546510844387147,
        4.546528487634587,
        4.546546130882026,
        4.546563774129466,
        4.546581417376906,
        4.546599060624345,
        4.546616703871785,
        4.546634347119224,
        4.546651990366664,
        4.546669633614103,
        4.546687276861543,
        4.546704920108983,
        4.546722563356422,
        4.546740206603862,
        4.546757849851301,
        4.546775493098741,
        4.54679313634618,
        4.54681077959362,
        4.546828899685584,
        4.546846542933024,
        4.546864186180463,
        4.546881829427903,
        4.546899472675343,
        4.546917115922782,
        4.546934759170222,
        4.546952402417661,
        4.546970045665101,
        4.54698768891254,
        4.54700533215998,
        4.54702297540742,
        4.547040618654859,
        4.547058261902299,
        4.547075905149738,
        4.547093548397178,
        4.547111191644618,
        4.547128834892057,
        4.547146001294971,
        4.547163644542411,
        4.54718128778985,
        4.54719893103729,
        4.547216574284729,
        4.547234217532169,
        4.547251860779608,
        4.547269504027048,
        4.547287147274488,
        4.547304790521927,
        4.5473224337693665,
        4.5473400770168055,
        4.5473577202642455,
        4.5473753635116845,
        4.547393006759124,
        4.547410650006564,
        4.547428293254003,
        4.547445936501443,
        4.5474631029043575,
        4.5474807461517965,
        4.5474983893992365,
        4.5475160326466755,
        4.547674345029106,
        4.547691988276545,
        4.547709631523985,
        4.547727274771425,
        4.547744918018864,
        4.547762561266304,
        4.5477797276692185,
        4.5477973709166575,
        4.547815014164097,
        4.547832657411536,
        4.547850300658976,
        4.547867943906415,
        4.547885587153855,
        4.5479027535567695,
        4.547920396804209,
        4.548411546665363,
        4.548429189912803,
        4.548446833160242,
        4.548464476407682,
        4.5484816428105965,
        4.5484992860580356,
        4.5485169293054755,
        4.548534572552915,
        4.548551738955829,
        4.548569382203269,
        4.548587025450709,
        4.548604191853623,
        4.548621835101062,
        4.548639478348502,
        4.548657121595941,
        4.548674287998855,
        4.548691931246295,
        4.548709574493734,
        4.548726740896648,
        4.548744384144088,
        4.548762027391527,
        4.5487791937944415,
        4.548796837041881,
        4.5488144802893204,
        4.548831646692235,
        4.548849289939675,
        4.548866933187114,
        4.548884099590028,
        4.548901742837468,
        4.548919386084907,
        4.548936552487821,
        4.548954195735261,
        4.5489718389827,
        4.548989005385614,
        4.549006648633054,
        4.549024291880493,
        4.549041458283408,
        4.5490591015308475,
        4.5490767447782865,
        4.549093911181201,
        4.549111554428641,
        4.549128720831555,
        4.549146364078994,
        4.549164007326434,
        4.549181173729348,
        4.549198816976787,
        4.5492159833797015,
        4.549233626627141,
        4.54925126987458,
        4.549268436277495,
        4.549286079524935,
        4.549303245927849,
        4.549320889175288,
        4.549338532422728,
        4.549355698825642,
        4.549373342073081,
        4.549390508475995,
        4.549408151723435,
        4.549425794970874,
        4.549565033572289,
        4.549582676819728,
        4.5495998432226425,
        4.5496174864700825,
        4.549634652872997,
        4.549652296120436,
        4.54966946252335,
        4.54968710577079,
        4.549704272173704,
        4.549721915421143,
        4.5497390818240575,
        4.549756725071497,
        4.549773891474411,
        4.549791534721851,
        4.549808701124765,
        4.549826344372204,
        4.549843510775118,
        4.549861154022558,
        4.5498783204254725,
        4.5498959636729115,
        4.549913130075826,
        4.549930773323266,
        4.54994793972618,
        4.549965582973619,
        4.549982749376533,
        4.550000392623973,
        4.550017559026887,
        4.5500352022743265,
        4.550052368677241,
        4.550521106845702,
        4.550538750093142,
        4.550555916496055,
        4.5505730828989694,
        4.550590726146409,
        4.550607892549324,
        4.550625535796763,
        4.550642702199677,
        4.550659868602591,
        4.550677511850031,
        4.5506946782529445,
        4.550711844655859,
        4.550729487903299,
        4.550746654306213,
        4.550763820709127,
        4.550781463956566,
        4.5507986303594805,
        4.550815796762395,
        4.550833440009835,
        4.550850606412748,
        4.550867772815662,
        4.550885416063102,
        4.5509025824660165,
        4.550919748868931,
        4.550936915271844,
        4.550954558519284,
        4.550971724922198,
        4.550988891325113,
        4.551006534572552,
        4.551023700975466,
        4.55104086737838,
        4.5510580337812945,
        4.5510756770287335,
        4.551092843431648,
        4.551110009834562,
        4.551127653082002,
        4.551144819484916,
        4.55116198588783,
        4.551179152290744,
        4.551196795538184,
        4.551213961941098,
        4.551231128344012,
        4.551248294746926,
        4.551265937994366,
        4.55128310439728,
        4.551300270800194,
        4.551317437203108,
        4.551472888518386,
        4.551490531765825,
        4.55150769816874,
        4.551524864571654,
        4.551542030974568,
        4.5515591973774825,
        4.5515768406249215,
        4.551594007027836,
        4.55161117343075,
        4.551628339833664,
        4.551645506236579,
        4.551662672639493,
        4.551680315886932,
        4.551697482289846,
        4.55171464869276,
        4.551731815095675,
        4.551748981498589,
        4.551766147901503,
        4.551783791148942,
        4.5518009575518565,
        4.551818123954771,
        4.551835290357685,
        4.551852456760599,
        4.551869623163513,
        4.551886789566427,
        4.551904432813867,
        4.551921599216781,
        4.5519387656196955,
        4.551955932022609,
        4.551973098425523,
        4.551990264828437,
        4.552007431231352,
        4.552024597634266,
        4.55204176403718,
        4.552059407284619,
        4.5520765736875335,
        4.552093740090448,
        4.552110906493362,
        4.552128072896276,
        4.552145239299191,
        4.552162405702104,
        4.552179572105018,
        4.5521967385079325,
        4.552213904910847,
        4.552609209022397,
        4.552643541828226,
        4.55266070823114,
        4.552677874634054,
        4.552695041036968,
        4.552712207439883,
        4.552729373842796,
        4.55274654024571,
        4.552763706648625,
        4.552780873051539,
        4.552798039454453,
        4.552815205857367,
        4.552832372260282,
        4.552849538663195,
        4.552866705066109,
        4.552883871469024,
        4.552901037871938,
        4.552918204274852,
        4.552935370677766,
        4.552952537080681,
        4.552969703483594,
        4.552986869886508,
        4.553004036289423,
        4.553021202692337,
        4.5530378922507255,
        4.55305505865364,
        4.553072225056554,
        4.553089391459468,
        4.553106557862383,
        4.553123724265296,
        4.55314089066821,
        4.5531580570711245,
        4.553175223474039,
        4.553192389876953,
        4.553209556279867,
        4.553226245838256,
        4.55324341224117,
        4.553414599425786,
        4.5534317658287,
        4.553448932231614,
        4.553466098634528,
        4.553483265037443,
        4.553499954595831,
        4.5535171209987455,
        4.55353428740166,
        4.553551453804574,
        4.553568620207488,
        4.553585786610403,
        4.553602476168791,
        4.553619642571705,
        4.553636808974619,
        4.553653975377533,
        4.553671141780447,
        4.553688308183362,
        4.55370499774175,
        4.553722164144665,
        4.553739330547579,
        4.553756496950493,
        4.553773663353407,
        4.553790352911796,
        4.55380751931471,
        4.553824685717624,
        4.553841852120538,
        4.553858541678927,
        4.553875708081841,
        4.553892874484755,
        4.553910040887669,
        4.553927207290584,
        4.553943896848972,
        4.5539610632518865,
        4.553978229654801,
        4.553995396057715,
        4.554012085616104,
        4.554029252019018,
        4.554046418421931,
        4.554063584824846,
        4.554080274383234,
        4.5540974407861485,
        4.554114607189063,
        4.554131773591977,
        4.554148463150366,
        4.55416562955328,
        4.554182795956194,
        4.5541999623591085,
        4.554216651917497,
        4.554233818320411,
        4.554250984723326,
        4.554267674281714,
        4.554284840684629,
        4.555623820111931,
        4.556962799539234,
        4.556982827009302,
        4.557003331323893,
        4.55702335879396,
        4.557043863108552,
        4.557063890578618,
        4.55708439489321,
        4.557104422363277,
        4.557124926677869,
        4.557144954147935,
        4.557164981618001,
        4.557327108756635,
        4.557347136226701,
        4.557367640541293,
        4.557387668011359,
        4.557407695481427,
        4.557428199796018,
        4.557448227266085,
        4.557468254736151,
        4.557488759050743,
        4.55750878652081,
        4.557529290835402,
        4.557549318305468,
        4.557569345775534,
        4.557589850090126,
        4.557609877560193,
        4.557629905030259,
        4.557650409344851,
        4.5576704368149175,
        4.557690464284985,
        4.557710968599576,
        4.557730996069643,
        4.557751023539709,
        4.557771527854301,
        4.557791555324368,
        4.557811582794434,
        4.557832087109026,
        4.5578521145790925,
        4.557872142049159,
        4.557892646363751,
        4.557912673833817,
        4.5579327013038835,
        4.5579532056184755,
        4.557973233088543,
        4.557993260558609,
        4.5580132880286754,
        4.558033792343267,
        4.558053819813334,
        4.5580738472834,
        4.558094351597992,
        4.5581143790680585,
        4.558134406538125,
        4.558154434008191,
        4.558174938322783,
        4.55819496579285,
        4.558214993262917,
        4.558235020732983,
        4.558255525047575,
        4.5582755525176415,
        4.558295579987708,
        4.558315607457774,
        4.558336111772366,
        4.5583561392424325,
        4.558376166712499,
        4.558396194182566,
        4.5584162216526325,
        4.5584367259672245,
        4.558456753437291,
        4.558476780907357,
        4.5584968083774235,
        4.5585173126920155,
        4.558537340162082,
        4.558557367632148,
        4.5585773951022155,
        4.558597422572282,
        4.558617450042348,
        4.55863795435694,
        4.5586579818270065,
        4.558678009297073,
        4.558698036767139,
        4.558718064237206,
        4.558738568551798,
        4.559360850657436,
        4.559380878127502,
        4.559400905597569,
        4.559420933067635,
        4.559440960537701,
        4.559460988007769,
        4.559481015477835,
        4.559501042947901,
        4.559521070417968,
        4.559541097888034,
        4.5595611253581,
        4.559581152828168,
        4.559601180298234,
        4.5596212077683,
        4.559641235238367,
        4.559661262708433,
        4.559681290178499,
        4.559701794493091,
        4.559721821963158,
        4.559741372588699,
        4.559761400058766,
        4.559781427528832,
        4.559801454998898,
        4.559821482468966,
        4.559841509939032,
        4.559861537409098,
        4.559881564879165,
        4.559901592349231,
        4.559921619819297,
        4.559941647289365,
        4.559961674759431,
        4.559981702229497,
        4.560001729699564,
        4.56002175716963,
        4.560041784639696,
        4.560061812109764,
        4.56008183957983,
        4.560101867049896,
        4.560121894519963,
        4.560141921990029,
        4.560161949460095,
        4.560181976930163,
        4.560201527555703,
        4.56022155502577,
        4.560241582495836,
        4.560261609965903,
        4.56028163743597,
        4.560301664906036,
        4.560321692376102,
        4.560341719846169,
        4.560361747316235,
        4.560381774786302,
        4.560401325411843,
        4.560421352881909,
        4.560441380351976,
        4.560461407822043,
        4.560481435292109,
        4.560501462762176,
        4.560521490232242,
        4.560541517702308,
        4.56056106832785,
        4.560581095797916,
        4.560601123267983,
        4.560621150738049,
        4.560641178208115,
        4.560661205678183,
        4.560681233148249,
        4.56070078377379,
        4.560720811243856,
        4.560740838713922,
        4.56076086618399,
        4.560780893654056,
        4.560800444279597,
        4.560820471749663,
        4.56084049921973,
        4.560860526689797,
        4.560880554159863,
        4.560900581629929,
        4.560920132255471,
        4.560940159725537,
        4.56133832490424,
        4.561358352374307,
        4.561378379844373,
        4.561397930469914,
        4.56141795793998,
        4.5614379854100475,
        4.561458012880114,
        4.561477563505655,
        4.561497590975721,
        4.561517618445788,
        4.561537169071329,
        4.561557196541395,
        4.561577224011462,
        4.561596774637003,
        4.5616168021070695,
        4.561636829577136,
        4.5616563802026775,
        4.561676407672744,
        4.56169643514281,
        4.561715985768351,
        4.561736013238418,
        4.5617560407084845,
        4.561775591334025,
        4.561795618804092,
        4.561815646274158,
        4.5618351968996995,
        4.561855224369766,
        4.561875251839832,
        4.561894802465374,
        4.56191482993544,
        4.5619348574055065,
        4.561954408031048,
        4.5619744355011145,
        4.561993986126655,
        4.5620140135967215,
        4.562034041066788,
        4.5620535916923295,
        4.562073619162396,
        4.562093169787937,
        4.562113197258004,
        4.56213322472807,
        4.562152775353611,
        4.562172802823677,
        4.562192353449219,
        4.562212380919285,
        4.5622324083893515,
        4.562251959014893,
        4.5622719864849595,
        4.5622915371105,
        4.562311564580567,
        4.562331115206108,
        4.5623511426761745,
        4.562370693301716,
        4.562390720771782,
        4.562410748241849,
        4.5624302988673895,
        4.562450326337457,
        4.562469876962997,
        4.562489904433064,
        4.562509455058605,
        4.562529482528672,
        4.5625490331542125,
        4.562569060624279,
        4.56258861124982,
        4.562608638719887,
        4.5626281893454275,
        4.562648216815495,
        4.562667767441035,
        4.562687794911102,
        4.562707345536643,
        4.56272737300671,
        4.56274692363225,
        4.562766951102317,
        4.562786501727858,
        4.562806529197925,
        4.562826079823466,
        4.562846107293533,
        4.562865657919073,
        4.56288568538914,
        4.562905236014681,
        4.562925263484748,
        4.562944814110288,
        4.562964841580356,
        4.562984392205896,
        4.563003942831437,
        4.563023970301504,
        4.563043520927045,
        4.563063548397111,
        4.563083099022653,
        4.563103126492719,
        4.56312267711826,
        4.563477926289678,
        4.563497476915219,
        4.563517504385286,
        4.563537055010827,
        4.5635570824808935,
        4.563576633106434,
        4.563596183731976,
        4.563616211202042,
        4.563635761827583,
        4.5636553124531245,
        4.563675339923191,
        4.563694890548732,
        4.563714441174273,
        4.5637344686443395,
        4.56375401926988,
        4.563773569895422,
        4.5637931205209625,
        4.563813147991029,
        4.5638326986165705,
        4.563852249242111,
        4.5638722767121775,
        4.563891827337719,
        4.56391137796326,
        4.563931405433327,
        4.563950956058868,
        4.5639705066844085,
        4.56399005730995,
        4.5640100847800165,
        4.564029635405558,
        4.564049186031099,
        4.564069213501165,
        4.564088764126707,
        4.564108314752247,
        4.564127865377788,
        4.564147892847855,
        4.564167443473396,
        4.564186994098938,
        4.564206544724478,
        4.564226572194545,
        4.564246122820086,
        4.564265673445627,
        4.564285224071169,
        4.564304774696709,
        4.564324802166776,
        4.564344352792317,
        4.564363903417858,
        4.564383454043399,
        4.564403481513466,
        4.564423032139007,
        4.564442582764548,
        4.564462133390089,
        4.56448168401563,
        4.564501234641171,
        4.564521262111238,
        4.564540812736779,
        4.56456036336232,
        4.564579913987861,
        4.564599464613402,
        4.564619492083469,
        4.56463904270901,
        4.564658593334551,
        4.564678143960092,
        4.564697694585633,
        4.564717245211174,
        4.56473727268124,
        4.564756823306782,
        4.564776373932323,
        4.564795924557864,
        4.564815475183405,
        4.5648350258089465,
        4.564854576434487,
        4.564874603904554,
        4.564894154530095,
        4.564913705155636,
        4.5649332557811775,
        4.564952806406718,
        4.56497235703226,
        4.5649919076578005,
        4.565011458283341,
        4.565031008908883,
        4.565051036378949,
        4.565070587004491,
        4.5650901376300315,
        4.565109688255572,
        4.565129238881114,
        4.5651487895066545,
        4.565168340132196,
        4.565187890757737,
        4.565207441383278,
        4.565226992008819,
        4.56567713324079,
        4.5656966838663315,
        4.565716234491872,
        4.565735785117414,
        4.565755335742955,
        4.565774886368495,
        4.565794436994037,
        4.565813987619578,
        4.565833538245119,
        4.56585308887066,
        4.5658726394962015,
        4.565892190121742,
        4.565911740747284,
        4.5659312913728245,
        4.5659503651538405,
        4.565969915779381,
        4.565989466404923,
        4.5660090170304635,
        4.566028567656005,
        4.566048118281546,
        4.566067668907087,
        4.566087219532628,
        4.566106770158169,
        4.56612632078371,
        4.566145871409251,
        4.566165422034793,
        4.566184972660333,
        4.566282248943514,
        4.566301799569055,
        4.566321350194596,
        4.566340900820137,
        4.566360451445679,
        4.566379525226694,
        4.566399075852235,
        4.566418626477776,
        4.566438177103318,
        4.566457727728858,
        4.5664772783544,
        4.566496828979941,
        4.566516379605481,
        4.566535453386497,
        4.566555004012039,
        4.5665745546375796,
        4.56659410526312,
        4.566613655888662,
        4.566633206514203,
        4.5666522802952185,
        4.56667183092076,
        4.566691381546301,
        4.5667109321718415,
        4.566730482797383,
        4.566749556578399,
        4.56676910720394,
        4.566788657829481,
        4.566808208455022,
        4.566827759080563,
        4.566846832861579,
        4.56686638348712,
        4.566885934112661,
        4.566905484738203,
        4.566925035363743,
        4.566944109144759,
        4.5669636597703,
        4.566983210395842,
        4.567002761021382,
        4.567021834802398,
        4.567041385427939,
        4.567060936053481,
        4.567080486679021,
        4.567099560460037,
        4.567119111085578,
        4.56713866171112,
        4.56715821233666,
        4.567177286117676,
        4.567196836743217,
        4.567216387368759,
        4.567235937994299,
        4.567255011775315,
        4.567274562400857,
        4.5672941130263975,
        4.567313663651938,
        4.567332737432954,
        4.567352288058496,
        4.5673718386840365,
        4.5673909124650525,
        4.567410463090593,
        4.567430013716135,
        4.56744908749715,
        4.567468638122691,
        4.567488188748232,
        4.567507739373774,
        4.567526813154789,
        4.56754636378033,
        4.567565914405871,
        4.567584988186887,
        4.567604538812429,
        4.567624089437969,
        4.567643163218985,
        4.567662713844526,
        4.567894937128393,
        4.567914487753933,
        4.567934038379475,
        4.567953112160491,
        4.5679726627860315,
        4.567992213411573,
        4.568011287192588,
        4.56803083781813,
        4.568049911599145,
        4.5680694622246865,
        4.568088536005702,
        4.568108086631243,
        4.568127637256785,
        4.5681467110378,
        4.568166261663341,
        4.5681853354443565,
        4.568204886069898,
        4.568223959850914,
        4.568243510476455,
        4.568263061101996,
        4.568282134883011,
        4.568301685508553,
        4.568320759289568,
        4.56834030991511,
        4.568359383696126,
        4.568378934321666,
        4.568398008102682,
        4.568417558728223,
        4.568436632509239,
        4.56845618313478,
        4.568475256915796,
        4.568494807541337,
        4.568513881322352,
        4.568533431947894,
        4.56855250572891,
        4.5685720563544505,
        4.5685911301354665,
        4.568610680761007,
        4.568629754542023,
        4.568649305167564,
        4.56866837894858,
        4.568687929574121,
        4.5687070033551365,
        4.568726553980678,
        4.568745627761693,
        4.568765178387235,
        4.568784252168251,
        4.568803802793791,
        4.568822876574807,
        4.568842427200348,
        4.568861500981364,
        4.568881051606905,
        4.568900125387921,
        4.568919199168937,
        4.568938749794477,
        4.568957823575493,
        4.568977374201035,
        4.56899644798205,
        4.5690159986075916,
        4.569035072388607,
        4.569054146169623,
        4.569073696795164,
        4.569092770576179,
        4.569112321201721,
        4.569131394982737,
        4.5691509456082775,
        4.5691700193892935,
        4.5691890931703085,
        4.56920864379585,
        4.569227717576866,
        4.569246791357881,
        4.569266341983423,
        4.569285415764439,
        4.569304966389979,
        4.569324040170995,
        4.56934311395201,
        4.569362664577552,
        4.569381738358568,
        4.569400812139583,
        4.569420362765125,
        4.569439436546141,
        4.569458987171681,
        4.569478060952697,
        4.569497134733712,
        4.569516685359254,
        4.56953575914027,
        4.569554832921285,
        4.5695743835468265,
        4.5695934573278425,
        4.569612531108858,
        4.569632081734399,
        4.569651155515414,
        4.56967022929643,
        4.569689303077446,
        4.569708853702987,
        4.569727927484003,
        4.569747001265019,
        4.5697665518905595,
        4.569785625671575,
        4.569804699452591,
        4.569824250078132,
        4.569843323859148,
        4.569862397640164,
        4.569881471421179,
        4.569901022046721,
        4.569920095827737,
        4.569939169608752,
        4.569958243389768,
        4.5701504117335014,
        4.5701694855145165,
        4.5701885592955325,
        4.570208109921073,
        4.570227183702089,
        4.570246257483105,
        4.570265331264121,
        4.570284881889662,
        4.570303955670678,
        4.570323029451694,
        4.570342103232709,
        4.570361177013725,
        4.570380727639265,
        4.570399801420281,
        4.570418875201297,
        4.570437948982313,
        4.570457022763328,
        4.570476096544344,
        4.570495647169886,
        4.570514720950901,
        4.570533794731917,
        4.570552868512933,
        4.570571942293948,
        4.570591016074964,
        4.5706105667005055,
        4.5706296404815205,
        4.5706487142625365,
        4.5706677880435524,
        4.570686861824568,
        4.5707059356055835,
        4.570725009386599,
        4.570744560012141,
        4.570763633793156,
        4.570782707574172,
        4.570801781355188,
        4.570820855136203,
        4.570839928917219,
        4.570859002698235,
        4.570878076479251,
        4.570897627104792,
        4.570916700885808,
        4.5709357746668235,
        4.570954848447839,
        4.570973922228855,
        4.5709929960098705,
        4.571012069790886,
        4.5710311435719015,
        4.5710502173529175,
        4.5710692911339335,
        4.5710883649149485,
        4.5711074386959645,
        4.571126989321506,
        4.571146063102521,
        4.571165136883537,
        4.571184210664553,
        4.571203284445569,
        4.571222358226584,
        4.5712414320076,
        4.571260505788616,
        4.571279579569631,
        4.571298653350647,
        4.571317727131663,
        4.571336800912679,
        4.571355874693694,
        4.57137494847471,
        4.571394022255726,
        4.571413096036742,
        4.571432169817757,
        4.571451243598773,
        4.571470317379789,
        4.571489391160804,
        4.57150846494182,
        4.571527538722836,
        4.571546612503852,
        4.571565686284867,
        4.571584760065883,
        4.571603833846899,
        4.571622907627915,
        4.57164198140893,
        4.571661055189946,
        4.571680128970962,
        4.571699202751978,
        4.571718276532993,
        4.571737350314009,
        4.571756424095025,
        4.57177549787604,
        4.571794571657056,
        4.571813645438072,
        4.5718327192190875,
        4.571851793000103,
        4.5718708667811185,
        4.5718899405621345,
        4.5719090143431504,
        4.571927611279641,
        4.571946685060656,
        4.571965758841672,
        4.571984832622688,
        4.572003906403704,
        4.572022980184719,
        4.572042053965735,
        4.572061127746751,
        4.572080201527766,
        4.572099275308782,
        4.572118349089798,
        4.572136946026288,
        4.572156019807304,
        4.572175093588319,
        4.572194167369335,
        4.572213241150351,
        4.572232314931367,
        4.572251388712382,
        4.572422099052472,
        4.572441172833488,
        4.572460246614504,
        4.57247932039552,
        4.572498394176535,
        4.572517467957551,
        4.572536541738567,
        4.572555138675058,
        4.5725742124560735,
        4.572593286237089,
        4.572612360018105,
        4.5726314337991205,
        4.572650030735611,
        4.572669104516627,
        4.572688178297642,
        4.572707252078658,
        4.572726325859674,
        4.572744922796164,
        4.572763996577179,
        4.572783070358195,
        4.572802144139211,
        4.572821217920227,
        4.572839814856717,
        4.572858888637732,
        4.572877962418748,
        4.572897036199764,
        4.572915633136255,
        4.5729347069172706,
        4.572953780698286,
        4.572972854479302,
        4.572991451415792,
        4.573010525196808,
        4.573029598977824,
        4.573048672758839,
        4.573067269695329,
        4.573086343476345,
        4.573105417257361,
        4.573124491038377,
        4.573143087974867,
        4.573162161755882,
        4.573181235536898,
        4.573199832473389,
        4.573218906254405,
        4.57323798003542,
        4.573351469032463,
        4.573370542813479,
        4.5733891397499695,
        4.5734082135309855,
        4.573427287312001,
        4.573445884248492,
        4.573464958029507,
        4.573484031810523,
        4.573502628747013,
        4.573521702528029,
        4.573540776309045,
        4.573559373245535,
        4.57357844702655,
        4.573597520807566,
        4.573616117744057,
        4.573635191525073,
        4.5736542653060885,
        4.573672862242579,
        4.573691936023594,
        4.573710532960084,
        4.5737296067411,
        4.573748680522116,
        4.5737672774586065,
        4.5737863512396215,
        4.5738054250206375,
        4.573824021957128,
        4.573843095738144,
        4.573861692674634,
        4.57388076645565,
        4.573899840236665,
        4.573918437173155,
        4.573937510954171,
        4.573956107890662,
        4.573975181671678,
        4.573993778608168,
        4.574012852389184,
        4.574031926170199,
        4.574050523106689,
        4.574069596887705,
        4.5740881938241955,
        4.5741072676052115,
        4.574125864541702,
        4.574144938322718,
        4.574164012103733,
        4.574182609040223,
        4.574201682821239,
        4.574220279757729,
        4.574239353538745,
        4.574257950475236,
        4.574277024256252,
        4.574295621192742,
        4.574314694973757,
        4.574333291910247,
        4.574352365691263,
        4.574370962627754,
        4.5743900364087695,
        4.57440863334526,
        4.574427707126276,
        4.574446304062766,
        4.574465377843781,
        4.5744839747802715,
        4.574503048561287,
        4.574521645497778,
        4.574540719278794,
        4.574559316215284,
        4.574709999085308,
        4.574729072866324,
        4.574747669802814,
        4.574766266739305,
        4.57478534052032,
        4.57480393745681,
        4.574823011237826,
        4.574841608174316,
        4.574860681955332,
        4.574879278891823,
        4.574897875828313,
        4.574916949609329,
        4.574935546545819,
        4.574954620326834,
        4.574973217263325,
        4.574992291044341,
        4.575010887980831,
        4.575029484917321,
        4.575048558698337,
        4.5750671556348275,
        4.575086229415843,
        4.575104826352334,
        4.575123423288824,
        4.575142497069839,
        4.575161094006329,
        4.57517969094282,
        4.575198764723836,
        4.575217361660326,
        4.575236435441342,
        4.575255032377832,
        4.575273629314323,
        4.5752927030953385,
        4.575311300031829,
        4.575329896968319,
        4.575348970749334,
        4.5753675676858245,
        4.575386164622315,
        4.575405238403331,
        4.575423835339821,
        4.575442432276311,
        4.575461506057327,
        4.575480102993818,
        4.575498699930308,
        4.575517773711324,
        4.575536370647814,
        4.575554967584305,
        4.57557404136532,
        4.57559263830181,
        4.5756112352383,
        4.575630309019316,
        4.5756489059558065,
        4.575667502892297,
        4.575686099828787,
        4.575705173609803,
        4.575723770546293,
        4.575742367482784,
        4.5757614412638,
        4.57578003820029,
        4.57579863513678,
        4.575817232073271,
        4.575836305854286,
        4.575854902790776,
        4.575873499727266,
        4.575892096663757,
        4.575911170444773,
        4.575929767381263,
        4.575948364317753,
        4.5759669612542435,
        4.5759860350352595,
        4.57600463197175,
        4.57602322890824,
        4.57604182584473,
        4.576060899625746,
        4.576079496562237,
        4.576098093498727,
        4.576116690435217,
        4.576135287371708,
        4.576154361152724,
        4.576172958089214,
        4.576191555025704,
        4.5762101519621945,
        4.576228748898685,
        4.5762478226797,
        4.57626641961619,
        4.5762850165526805,
        4.576303613489171,
        4.576322210425661,
        4.576341284206677,
        4.576359881143167,
        4.576378478079658,
        4.576397075016148,
        4.576415671952638,
        4.576434268889129,
        4.576453342670145,
        4.576471939606635,
        4.576490536543125,
        4.5765091334796155,
        4.576527730416106,
        4.576546327352596,
        4.5765649242890865,
        4.576583998070102,
        4.576602595006593,
        4.576621191943083,
        4.576639788879573,
        4.576658385816064,
        4.576676982752554,
        4.576695579689044,
        4.576714176625535,
        4.5767332504065505,
        4.576751847343041,
        4.576770444279531,
        4.5767890412160215,
        4.576807638152512,
        4.576826235089002,
        4.576844832025492,
        4.576863428961983,
        4.576882025898473,
        4.57701268129843,
        4.57703127823492,
        4.577049875171411,
        4.577068472107901,
        4.577087069044392,
        4.577105665980882,
        4.577124262917373,
        4.577142859853863,
        4.577161456790353,
        4.577180053726844,
        4.577198650663334,
        4.577217247599824,
        4.577235844536315,
        4.577254441472805,
        4.577273038409295,
        4.5772916353457855,
        4.577310232282276,
        4.577328829218766,
        4.5773474261552565,
        4.577366023091747,
        4.577384620028237,
        4.577403216964727,
        4.577421813901218,
        4.577440410837708,
        4.577459007774198,
        4.577477604710689,
        4.577496201647179,
        4.577514798583669,
        4.57753339552016,
        4.57755199245665,
        4.57757058939314,
        4.5775891863296305,
        4.577607783266121,
        4.577626380202611,
        4.5776449771391015,
        4.577663574075592,
        4.577682171012082,
        4.577700767948572,
        4.577719364885063,
        4.577737961821553,
        4.577756558758043,
        4.577775155694534,
        4.577793752631024,
        4.577812349567514,
        4.577830469659479,
        4.577849066595969,
        4.5778676635324596,
        4.57788626046895,
        4.57790485740544,
        4.5779234543419305,
        4.577942051278421,
        4.577960648214911,
        4.577979245151401,
        4.577997842087892,
        4.578015962179857,
        4.578034559116348,
        4.578053156052838,
        4.578071752989328,
        4.5780903499258185,
        4.578108946862309,
        4.578127543798799,
        4.5781461407352895,
        4.57816473767178,
        4.5781828577637445,
        4.578201454700235,
        4.578220051636725,
        4.578238648573215,
        4.578257245509706,
        4.578275842446196,
        4.578293962538162,
        4.578312559474652,
        4.578331156411142,
        4.5783497533476325,
        4.578368350284123,
        4.578386947220613,
        4.578405067312578,
        4.578423664249068,
        4.578442261185558,
        4.578460858122049,
        4.578479455058539,
        4.578498051995029,
        4.578516172086994,
        4.578534769023484,
        4.578553365959975,
        4.578571962896465,
        4.578590559832955,
        4.578608679924921,
        4.578627276861411,
        4.5786458737979014,
        4.578664470734392,
        4.578682590826356,
        4.578701187762847,
        4.578719784699337,
        4.578738381635827,
        4.578756978572318,
        4.578775098664282,
        4.578793695600773,
        4.578812292537263,
        4.578830889473753,
        4.578849009565719,
        4.578867606502209,
        4.5788862034386995,
        4.57890480037519,
        4.578922920467154,
        4.578941517403645,
        4.578960114340135,
        4.5789782344321,
        4.57899683136859,
        4.57901542830508,
        4.579034025241571,
        4.579052145333536,
        4.5790707422700265,
        4.579089339206517,
        4.5791074592984815,
        4.579126056234972,
        4.579144653171462,
        4.579163250107952,
        4.579181370199917,
        4.579199967136407,
        4.579329192002789,
        4.579347312094754,
        4.579365909031244,
        4.5793845059677345,
        4.5794026260597,
        4.57942122299619,
        4.579439819932681,
        4.579457940024645,
        4.579476536961136,
        4.579495133897626,
        4.579513253989591,
        4.579531850926081,
        4.579549971018046,
        4.579568567954536,
        4.579587164891027,
        4.579605284982992,
        4.579623881919482,
        4.579642478855972,
        4.579660598947937,
        4.579679195884427,
        4.579697315976392,
        4.579715912912882,
        4.579734509849373,
        4.579752629941338,
        4.579771226877829,
        4.579789346969793,
        4.5798079439062835,
        4.579826063998248,
        4.5798446609347385,
        4.579863257871229,
        4.579881377963194,
        4.579899974899685,
        4.579918094991649,
        4.57993669192814,
        4.579954812020104,
        4.579973408956595,
        4.579992005893085,
        4.5800101259850505,
        4.580028722921541,
        4.5800468430135055,
        4.580065439949996,
        4.5800835600419605,
        4.580102156978451,
        4.580120277070416,
        4.580138874006907,
        4.580156994098871,
        4.580175591035362,
        4.580193711127326,
        4.580212308063817,
        4.580230428155781,
        4.580249025092272,
        4.580267145184237,
        4.5802857421207275,
        4.580303862212692,
        4.5803224591491825,
        4.580340579241147,
        4.580359176177637,
        4.580377296269603,
        4.580506044291459,
        4.580524164383424,
        4.580542761319914,
        4.580560881411879,
        4.580579478348369,
        4.580597598440335,
        4.580616195376825,
        4.58063431546879,
        4.580652435560754,
        4.580671032497245,
        4.580689152589209,
        4.5807077495257,
        4.580725869617665,
        4.5807444665541555,
        4.58076258664612,
        4.580780706738085,
        4.580799303674575,
        4.580817423766541,
        4.580836020703031,
        4.580854140794996,
        4.58087226088696,
        4.580890857823451,
        4.580908977915416,
        4.5809275748519065,
        4.580945694943871,
        4.580963815035836,
        4.580982411972326,
        4.581000532064292,
        4.581019129000782,
        4.581037249092747,
        4.581055369184711,
        4.581073966121202,
        4.581092086213166,
        4.581110206305132,
        4.581128803241622,
        4.581146923333587,
        4.5811650434255515,
        4.581183640362042,
        4.581201760454007,
        4.581219880545972,
        4.581238477482462,
        4.581256597574427,
        4.581274717666393,
        4.581293314602883,
        4.581311434694848,
        4.581329554786812,
        4.581348151723303,
        4.581366271815267,
        4.581384391907233,
        4.581402988843723,
        4.581421108935688,
        4.581439229027652,
        4.581457825964143,
        4.581475946056108,
        4.581494066148073,
        4.581512663084563,
        4.581530783176528,
        4.5815489032684935,
        4.581658577509334,
        4.581676697601298,
        4.581694817693263,
        4.581713414629753,
        4.581731534721719,
        4.581749654813684,
        4.581767774905648,
        4.5817863718421385,
        4.581804491934104,
        4.581822612026069,
        4.581840732118033,
        4.581858852209998,
        4.581877449146488,
        4.581895569238454,
        4.581913689330419,
        4.581931809422383,
        4.581950406358874,
        4.581968526450839,
        4.581986646542804,
        4.5820047666347685,
        4.582022886726734,
        4.582041483663224,
        4.582059603755189,
        4.582077723847154,
        4.582095843939118,
        4.582113964031084,
        4.582132560967574,
        4.582150681059539,
        4.582168801151504,
        4.582186921243469,
        4.582205041335434,
        4.5822231614273985,
        4.582241758363889,
        4.582259878455854,
        4.582277998547819,
        4.582296118639784,
        4.582314238731748,
        4.582332358823714,
        4.582350955760204,
        4.582369075852169,
        4.582387195944134,
        4.582405316036099,
        4.582423436128064,
        4.5824415562200285,
        4.582459676311993,
        4.582478273248484,
        4.582496393340449,
        4.582514513432414,
        4.582532633524378,
        4.582550753616344,
        4.582568873708309,
        4.582586993800273,
        4.582605113892239,
        4.5826232339842035,
        4.582641830920694,
        4.582659951012658,
        4.582678071104623,
        4.582696191196589,
        4.582714311288553,
        4.582732431380518,
        4.582750551472484,
        4.582768671564448,
        4.582786791656413,
        4.5828049117483785,
        4.582823031840343,
        4.582841151932308,
        4.5828592720242725,
        4.582877868960763,
        4.582895989052728,
        4.582914109144693,
        4.582932229236658,
        4.582950349328623,
        4.582968469420588,
        4.5829865895125526,
        4.583004709604518,
        4.583022829696483,
        4.5830409497884474,
        4.583059069880412,
        4.583077189972378,
        4.583095310064342,
        4.583113430156307,
        4.583131550248273,
        4.583149670340237,
        4.583167790432202,
        4.583185910524167,
        4.583204030616132,
        4.583222150708097,
        4.5832402708000615,
        4.583258390892027,
        4.583276510983992,
        4.583294631075956,
        4.583312751167922,
        4.583330871259887,
        4.583348991351851,
        4.583367111443816,
        4.5833852315357815,
        4.583403351627746,
        4.583421471719711,
        4.583439591811676,
        4.583457711903641,
        4.583475831995606,
        4.58349395208757,
        4.583512072179536,
        4.583530192271501,
        4.583548312363465,
        4.583565955610905,
        4.58358407570287,
        4.583602195794835,
        4.5836203158868,
        4.583638435978765,
        4.583656556070729,
        4.583674676162695,
        4.58369279625466,
        4.583710916346624,
        4.58372903643859,
        4.5837471565305545,
        4.583765276622519,
        4.583782919869959,
        4.583801039961924,
        4.5838191600538885,
        4.583837280145854,
        4.583855400237819,
        4.583873520329783,
        4.583891640421749,
        4.583909760513714,
        4.583927880605678,
        4.584018004220978,
        4.584036124312942,
        4.584054244404907,
        4.584072364496873,
        4.584090007744312,
        4.584108127836277,
        4.584126247928242,
        4.5841443680202065,
        4.584162488112172,
        4.584180608204137,
        4.584198251451576,
        4.584216371543541,
        4.584234491635506,
        4.584252611727471,
        4.584270731819436,
        4.584288851911401,
        4.58430649515884,
        4.5843246152508055,
        4.58434273534277,
        4.584360855434735,
        4.5843789755267,
        4.584396618774139,
        4.584414738866104,
        4.58443285895807,
        4.584450979050034,
        4.584468622297474,
        4.584486742389439,
        4.5845048624814035,
        4.584522982573369,
        4.584541102665334,
        4.584558745912773,
        4.584576866004738,
        4.584594986096703,
        4.584613106188668,
        4.584630749436108,
        4.584648869528072,
        4.584666989620037,
        4.5846851097120025,
        4.5847027529594415,
        4.584720873051407,
        4.584738993143372,
        4.584757113235336,
        4.584774756482776,
        4.584792876574741,
        4.584810996666706,
        4.584829116758671,
        4.58484676000611,
        4.584864880098076,
        4.5848830001900405,
        4.5849006434374795,
        4.584918763529445,
        4.58493688362141,
        4.584955003713374,
        4.584972646960814,
        4.584990767052779,
        4.585008887144744,
        4.5850265303921836,
        4.585044650484148,
        4.585062770576114,
        4.585080413823553,
        4.585098533915518,
        4.585116654007483,
        4.585134297254922,
        4.585152417346888,
        4.585170537438852,
        4.585188180686292,
        4.585206300778257,
        4.5852244208702215,
        4.585242064117661,
        4.585260184209626,
        4.585278304301591,
        4.585295947549031,
        4.585314067640995,
        4.58533218773296,
        4.5853498309804,
        4.585367951072365,
        4.5853855943198045,
        4.585403714411769,
        4.585421834503735,
        4.585439477751174,
        4.5854575978431384,
        4.585475717935104,
        4.585493361182543,
        4.585511481274509,
        4.585529124521948,
        4.585547244613912,
        4.585565364705878,
        4.585583007953317,
        4.585601128045282,
        4.585618771292721,
        4.585636891384686,
        4.585654534632126,
        4.585672654724091,
        4.585690774816056,
        4.585708418063495,
        4.585726538155461,
        4.5857441814029,
        4.5857623014948645,
        4.585779944742304,
        4.585798064834269,
        4.585816184926235,
        4.585833828173674,
        4.585851948265638,
        4.585869591513078,
        4.585887711605043,
        4.585905354852483,
        4.5859234749444475,
        4.585941118191887,
        4.585959238283852,
        4.585976881531292,
        4.585995001623257,
        4.586012644870696,
        4.586030764962661,
        4.5860484082101,
        4.586066528302066,
        4.586084171549505,
        4.58610229164147,
        4.5861199348889095,
        4.586138054980874,
        4.586155698228314,
        4.586173818320279,
        4.586191461567719,
        4.586209581659683,
        4.586227224907123,
        4.586245344999088,
        4.586262988246528,
        4.5862811083384925,
        4.5862987515859315,
        4.58642416169611,
        4.58644180494355,
        4.58645944819099,
        4.586477568282954,
        4.586495211530393,
        4.586513331622359,
        4.586530974869798,
        4.5865490949617636,
        4.586566738209203,
        4.5865843814566425,
        4.586602501548607,
        4.586620144796047,
        4.586638264888012,
        4.586655908135451,
        4.586673551382891,
        4.586691671474855,
        4.586709314722295,
        4.58672743481426,
        4.5867450780617,
        4.586762721309139,
        4.586780841401104,
        4.5867984846485435,
        4.586816604740509,
        4.586834247987948,
        4.586851891235388,
        4.586870011327353,
        4.5868876545747925,
        4.5869052978222316,
        4.586923417914196,
        4.586941061161636,
        4.586959181253601,
        4.586976824501041,
        4.58699446774848,
        4.587012587840445,
        4.587030231087884,
        4.587047874335324,
        4.587065994427289,
        4.587083637674729,
        4.587101280922168,
        4.587119401014133,
        4.587137044261572,
        4.587154687509012,
        4.587172807600977,
        4.587190450848417,
        4.587208094095856,
        4.5872262141878215,
        4.5872438574352605,
        4.5872615006827,
        4.5872791439301395,
        4.587297264022105,
        4.587314907269544,
        4.587332550516984,
        4.587350670608949,
        4.5873683138563885,
        4.587385957103828,
        4.5874036003512675,
        4.587421720443232,
        4.587439363690672,
        4.587457006938111,
        4.587475127030076,
        4.587492770277516,
        4.587510413524956,
        4.587528056772395,
        4.58754617686436,
        4.587563820111799,
        4.587581463359239,
        4.587599106606678,
        4.587617226698644,
        4.587634869946083,
        4.58777696961465,
        4.58779461286209,
        4.587812256109529,
        4.587829899356969,
        4.587847542604408,
        4.587865662696373,
        4.587883305943812,
        4.587900949191252,
        4.587918592438692,
        4.587936235686131,
        4.587954355778096,
        4.587971999025536,
        4.587989642272976,
        4.588007285520415,
        4.5880249287678545,
        4.588043048859819,
        4.588060692107259,
        4.588078335354698,
        4.588095978602138,
        4.588113621849577,
        4.588131265097017,
        4.588148908344456,
        4.5881670284364215,
        4.588184671683861,
        4.5882023149313005,
        4.5882199581787395,
        4.588237601426179,
        4.588255244673619,
        4.588272887921058,
        4.588291008013023,
        4.588308651260463,
        4.588326294507903,
        4.588343937755342,
        4.588361581002782,
        4.588379224250221,
        4.588396867497661,
        4.588414510745101,
        4.58843215399254,
        4.588450274084504,
        4.588467917331944,
        4.588485560579384,
        4.588503203826823,
        4.588520847074263,
        4.588538490321702,
        4.588556133569142,
        4.588573776816581,
        4.588591420064021,
        4.588609063311461,
        4.5886267065589,
        4.58864434980634,
        4.5886624698983045,
        4.588680113145744,
        4.588768329382941,
        4.588785972630381,
        4.588803615877821,
        4.58882125912526,
        4.5888389023727,
        4.588856545620139,
        4.588874188867579,
        4.588891832115019,
        4.588909475362458,
        4.588927118609898,
        4.588944761857337,
        4.588962405104777,
        4.588980048352216,
        4.588997691599656,
        4.589015334847096,
        4.589032978094535,
        4.589050621341975,
        4.589068264589414,
        4.5890859078368536,
        4.589103551084293,
        4.5891211943317325,
        4.589138837579172,
        4.589156480826611,
        4.589174124074051,
        4.58919176732149,
        4.58920941056893,
        4.589227053816369,
        4.589244697063809,
        4.589262340311249,
        4.589279983558688,
        4.589297626806128,
        4.589315270053567,
        4.589332913301007,
        4.589350556548447,
        4.589368199795886,
        4.589385843043326,
        4.58940300944624,
        4.589420652693679,
        4.589438295941119,
        4.589455939188558,
        4.589473582435998,
        4.589491225683437,
        4.589508868930877,
        4.589526512178317,
        4.589544155425756,
        4.589561798673196,
        4.589579441920635,
        4.589597085168075,
        4.589614251570989,
        4.589631894818428,
        4.589649538065868,
        4.589667181313307,
        4.589684824560747,
        4.589702467808187,
        4.589720111055626,
        4.589737754303066,
        4.589755397550505,
        4.589772563953419,
        4.589790207200859,
        4.589807850448298,
        4.589825493695738,
        4.589843136943178,
        4.589860780190617,
        4.589878423438057,
        4.589895589840971,
        4.58991323308841,
        4.58993087633585,
        4.589948519583289,
        4.589966162830729,
        4.589983806078168,
        4.590000972481082,
        4.590018615728522,
        4.590036258975961,
        4.590053902223401,
        4.590071545470841,
        4.59008918871828,
        4.590106355121194,
        4.590123998368634,
        4.590141641616073,
        4.590159284863513,
        4.590176928110952,
        4.590194094513866,
        4.590211737761306,
        4.590229381008745,
        4.590247024256185,
        4.590264667503624,
        4.5902818339065385,
        4.5902994771539785,
        4.590317120401418,
        4.590334763648857,
        4.590351930051772,
        4.590369573299212,
        4.590387216546651,
        4.5904048597940905,
        4.5904225030415295,
        4.590439669444444,
        4.590457312691884,
        4.590474955939323,
        4.590492599186763,
        4.590509765589677,
        4.590527408837116,
        4.590545052084556,
        4.59056221848747,
        4.590579861734909,
        4.590597504982349,
        4.590615148229788,
        4.590632314632702,
        4.590649957880142,
        4.590667601127581,
        4.590685244375021,
        4.5907024107779355,
        4.5907200540253745,
        4.590737697272814,
        4.590754863675729,
        4.590772506923168,
        4.590790150170608,
        4.590807316573522,
        4.590824959820961,
        4.590842603068401,
        4.590860246315841,
        4.590877412718755,
        4.590895055966194,
        4.590912699213634,
        4.590929865616548,
        4.590947508863987,
        4.590965152111427,
        4.5909823185143415,
        4.5909999617617805,
        4.59101760500922,
        4.591034771412135,
        4.591052414659574,
        4.591069581062488,
        4.591087224309928,
        4.591104867557367,
        4.591122033960281,
        4.591139677207721,
        4.59115732045516,
        4.591174486858074,
        4.591192130105514,
        4.591209773352953,
        4.591226939755868,
        4.5912445830033075,
        4.591261749406221,
        4.591279392653661,
        4.591297035901101,
        4.591314202304014,
        4.591331845551454,
        4.591349011954368,
        4.591366655201807,
        4.591384298449247,
        4.5914014648521615,
        4.5914191080996005,
        4.591436274502515,
        4.591453917749955,
        4.591471560997394,
        4.591488727400308,
        4.591506370647748,
        4.591523537050662,
        4.591541180298101,
        4.5915583467010155,
        4.591575989948455,
        4.591593633195894,
        4.591610799598809,
        4.591628442846249,
        4.591645609249163,
        4.591663252496602,
        4.591680418899516,
        4.591698062146956,
        4.59171522854987,
        4.591732871797309,
        4.591750038200224,
        4.591767681447664,
        4.591784847850577,
        4.591802491098017,
        4.591820134345457,
        4.59183730074837,
        4.59185494399581,
        4.591872110398724,
        4.591889753646163,
        4.591906920049078,
        4.5919245632965175,
        4.591941729699432,
        4.591959372946871,
        4.591976539349785,
        4.591994182597225,
        4.592011349000139,
        4.592028515403053,
        4.592046158650493,
        4.592063325053407,
        4.592080968300846,
        4.59209813470376,
        4.5921157779512,
        4.592132944354114,
        4.592150587601553,
        4.592167754004468,
        4.5921853972519076,
        4.592202563654822,
        4.592220206902261,
        4.592237373305175,
        4.592254539708089,
        4.592272182955529,
        4.592289349358443,
        4.592306992605883,
        4.592324159008797,
        4.592341802256236,
        4.59235896865915,
        4.59237661190659,
        4.592393778309504,
        4.592410944712419,
        4.592428587959858,
        4.592445754362772,
        4.592463397610212,
        4.592480564013125,
        4.5924977304160395,
        4.592515373663479,
        4.592532540066394,
        4.592550183313833,
        4.592567349716747,
        4.592584516119661,
        4.592602159367101,
        4.5926193257700145,
        4.592636492172929,
        4.592654135420369,
        4.592671301823283,
        4.592688945070722,
        4.592706111473636,
        4.5927232778765505,
        4.5927409211239905,
        4.592758087526904,
        4.592775253929818,
        4.592792897177258,
        4.592810063580172,
        4.592827229983087,
        4.592844873230526,
        4.59286203963344,
        4.592879206036354,
        4.592896849283793,
        4.592914015686707,
        4.592931182089622,
        4.592948825337062,
        4.592965991739976,
        4.592983158142889,
        4.593000801390329,
        4.5930179677932435,
        4.593035134196158,
        4.593052777443597,
        4.593069943846511,
        4.593087110249425,
        4.593104753496865,
        4.593121919899779,
        4.593139086302693,
        4.593156252705607,
        4.593173895953047,
        4.593191062355961,
        4.593208228758876,
        4.593225872006315,
        4.593243038409229,
        4.593260204812143,
        4.593277371215057,
        4.593295014462496,
        4.593312180865411,
        4.593329347268325,
        4.593346513671239,
        4.593364156918678,
        4.5933813233215925,
        4.593398489724507,
        4.593415656127421,
        4.593433299374861,
        4.593450465777774,
        4.593467632180689,
        4.593484798583603,
        4.593502441831043,
        4.593519608233957,
        4.5935367746368705,
        4.593553941039785,
        4.593571107442699,
        4.593588750690139,
        4.593605917093053,
        4.593623083495967,
        4.593640249898881,
        4.593657416301795,
        4.593675059549235,
        4.593692225952149,
        4.593709392355063,
        4.593726558757977,
        4.593743725160891,
        4.593761368408331,
        4.593778534811245,
        4.593795701214159,
        4.593812867617073,
        4.593830034019987,
        4.593847200422902,
        4.5938648436703415,
        4.593882010073255,
        4.593899176476169,
        4.5939163428790835,
        4.593933509281998,
        4.593950675684912,
        4.593968318932351,
        4.593985485335265,
        4.59400265173818,
        4.594019818141094,
        4.594036984544008,
        4.594054150946922,
        4.594071317349837,
        4.594088960597276,
        4.59410612700019,
        4.594123293403104,
        4.5941404598060185,
        4.594157626208933,
        4.594174792611846,
        4.59419195901476,
        4.594209125417675,
        4.594226291820589,
        4.594243935068029,
        4.594261101470942,
        4.5942782678738565,
        4.594295434276771,
        4.594312600679685,
        4.594329767082599,
        4.594346933485514,
        4.594364099888428,
        4.594381266291342,
        4.5943984326942555,
        4.59441559909717,
        4.594432765500084,
        4.594449931902998,
        4.594467575150438,
        4.594484741553352,
        4.594501907956266,
        4.59451907435918,
        4.594536240762094,
        4.594553407165009,
        4.594570573567923,
        4.594587739970837,
        4.594604906373751,
        4.594622072776665,
        4.594639239179579,
        4.594656405582493,
        4.594673571985408,
        4.594690738388322,
        4.594707904791236,
        4.596026856748473,
        4.597380141511538,
        4.59740064582613,
        4.597421150140722,
        4.597441654455314,
        4.59746168192538,
        4.597482186239972,
        4.597502690554563,
        4.597523194869155,
        4.597543699183747,
        4.597564203498339,
        4.597584707812931,
        4.597605212127523,
        4.59762523959759,
        4.597645743912182,
        4.597666248226774,
        4.597686752541366,
        4.597707256855958,
        4.597727761170549,
        4.597748265485141,
        4.597768292955208,
        4.597788797269799,
        4.597809301584391,
        4.597829805898983,
        4.597850310213575,
        4.597870337683641,
        4.597890841998233,
        4.597911346312825,
        4.597931850627417,
        4.597952354942009,
        4.597972859256601,
        4.597992886726668,
        4.59801339104126,
        4.598033895355852,
        4.598054399670444,
        4.59807442714051,
        4.598094931455102,
        4.598115435769693,
        4.598135940084285,
        4.598156444398877,
        4.5981764718689435,
        4.5981969761835355,
        4.5982174804981275,
        4.5982379848127195,
        4.598258012282786,
        4.598278516597378,
        4.59829902091197,
        4.598319525226562,
        4.598339552696628,
        4.59836005701122,
        4.598380561325812,
        4.598401065640404,
        4.5984210931104705,
        4.5984415974250625,
        4.5984621017396545,
        4.598482129209721,
        4.598502633524313,
        4.598523137838905,
        4.598543642153496,
        4.598563669623563,
        4.598584173938155,
        4.598604678252746,
        4.598624705722814,
        4.598645210037405,
        4.598665714351997,
        4.598685741822064,
        4.598706246136655,
        4.598726750451247,
        4.598746777921313,
        4.598767282235905,
        4.598787786550497,
        4.598807814020564,
        4.598828318335156,
        4.598848822649748,
        4.598868850119814,
        4.598889354434406,
        4.598909858748998,
        4.598929886219064,
        4.598950390533656,
        4.598970418003723,
        4.598990922318315,
        4.599011426632907,
        4.599031454102973,
        4.599051958417565,
        4.599072462732157,
        4.599092490202223,
        4.599112994516815,
        4.599133021986882,
        4.599153526301474,
        4.599174030616066,
        4.599194058086132,
        4.599214562400724,
        4.5992345898707905,
        4.5992550941853825,
        4.599275121655449,
        4.599295625970041,
        4.599316130284633,
        4.599336157754699,
        4.599356662069291,
        4.5993766895393575,
        4.5993971938539495,
        4.599417221324016,
        4.599437725638608,
        4.5994582299532,
        4.599478257423266,
        4.599498761737858,
        4.599518789207925,
        4.599539293522517,
        4.599559320992583,
        4.599579825307175,
        4.599599852777241,
        4.599620357091833,
        4.5996403845619005,
        4.599660888876492,
        4.599680916346559,
        4.59970142066115,
        4.599721448131217,
        4.599741952445809,
        4.5997619799158755,
        4.5997824842304675,
        4.599802511700534,
        4.599823016015126,
        4.599843043485192,
        4.599863547799784,
        4.599883575269851,
        4.599904079584443,
        4.599924107054509,
        4.599944611369101,
        4.599964638839167,
        4.599984666309234,
        4.600005170623826,
        4.600025198093892,
        4.600045702408484,
        4.60006572987855,
        4.600086234193142,
        4.600106261663209,
        4.600126765977801,
        4.600146793447867,
        4.600166820917934,
        4.600187325232525,
        4.600207352702593,
        4.600227857017184,
        4.600247884487251,
        4.600267911957317,
        4.600288416271909,
        4.600308443741976,
        4.600328948056568,
        4.600348975526634,
        4.6003690029967,
        4.600389507311292,
        4.600409534781359,
        4.600430039095951,
        4.600450066566017,
        4.600470094036083,
        4.600490598350675,
        4.600510625820742,
        4.600530653290809,
        4.6005511576054,
        4.600571185075467,
        4.600591212545534,
        4.600611716860126,
        4.600631744330192,
        4.600652248644784,
        4.60067227611485,
        4.600692303584917,
        4.600712807899509,
        4.600732835369575,
        4.6007528628396415,
        4.600772890309708,
        4.6007933946243,
        4.600813422094367,
        4.600833449564433,
        4.600853953879025,
        4.600873981349092,
        4.600894008819158,
        4.60091451313375,
        4.6009345406038165,
        4.600954568073883,
        4.600974595543949,
        4.600995099858541,
        4.6010151273286075,
        4.601035154798675,
        4.601055659113266,
        4.601075686583333,
        4.6010957140533995,
        4.601115741523466,
        4.601136245838058,
        4.601156273308124,
        4.6011763007781905,
        4.601196328248257,
        4.601216832562849,
        4.601236860032915,
        4.6012568875029825,
        4.601276914973049,
        4.601297419287641,
        4.601317446757707,
        4.6013374742277735,
        4.60135750169784,
        4.601377529167906,
        4.601398033482498,
        4.601418060952565,
        4.601438088422632,
        4.601458115892698,
        4.6014781433627645,
        4.6014986476773565,
        4.601518675147423,
        4.601538702617489,
        4.601558730087556,
        4.601578757557622,
        4.601599261872214,
        4.60161928934228,
        4.6016393168123475,
        4.601659344282414,
        4.60167937175248,
        4.601699399222547,
        4.601719903537139,
        4.601739931007205,
        4.601759958477271,
        4.6017799859473385,
        4.601800013417405,
        4.601820040887471,
        4.601840068357538,
        4.60186057267213,
        4.601880600142196,
        4.601900627612262,
        4.601920655082329,
        4.601940682552396,
        4.601960710022462,
        4.601980737492529,
        4.602000764962595,
        4.602020792432661,
        4.602041296747253,
        4.60206132421732,
        4.602081351687386,
        4.602101379157453,
        4.60212140662752,
        4.602141434097586,
        4.602161461567652,
        4.602181489037719,
        4.602201516507785,
        4.602221543977852,
        4.602241571447919,
        4.602261598917985,
        4.602282103232577,
        4.602302130702643,
        4.60232215817271,
        4.602342185642776,
        4.602362213112843,
        4.60238224058291,
        4.602402268052976,
        4.602422295523042,
        4.602582515283574,
        4.602602542753641,
        4.602622570223708,
        4.602642597693774,
        4.60266262516384,
        4.602682652633907,
        4.602702680103973,
        4.60272270757404,
        4.602742735044107,
        4.602762762514173,
        4.602782789984239,
        4.602802817454306,
        4.602822844924372,
        4.602842872394439,
        4.602862899864506,
        4.602882927334572,
        4.602902954804638,
        4.602922982274705,
        4.602943009744771,
        4.602963037214838,
        4.602982587840379,
        4.603002615310445,
        4.603022642780512,
        4.603042670250579,
        4.603062697720645,
        4.603082725190712,
        4.603102752660778,
        4.603122780130844,
        4.603142807600911,
        4.603162835070978,
        4.603182862541044,
        4.603202890011111,
        4.603222440636651,
        4.6032424681067186,
        4.603262495576785,
        4.603282523046851,
        4.603302550516918,
        4.603322577986984,
        4.60334260545705,
        4.603362632927118,
        4.603382660397184,
        4.603402211022725,
        4.603422238492791,
        4.603442265962857,
        4.603462293432925,
        4.603482320902991,
        4.603502348373057,
        4.603522375843124,
        4.603541926468665,
        4.603561953938732,
        4.603581981408798,
        4.603602008878864,
        4.603622036348931,
        4.603642063818997,
        4.603661614444539,
        4.603681641914605,
        4.603701669384671,
        4.603721696854738,
        4.603741724324805,
        4.603761274950346,
        4.603781302420412,
        4.603801329890478,
        4.6038213573605455,
        4.603841384830612,
        4.603860935456153,
        4.603880962926219,
        4.603900990396285,
        4.6039210178663525,
        4.603940568491893,
        4.60396059596196,
        4.603980623432026,
        4.604000650902093,
        4.60402067837216,
        4.6040402289977,
        4.604060256467767,
        4.604080283937834,
        4.6041003114079,
        4.604119862033441,
        4.604139889503507,
        4.6041599169735745,
        4.604179944443641,
        4.604199495069182,
        4.604219522539248,
        4.604239550009314,
        4.604259100634856,
        4.604279128104922,
        4.604299155574989,
        4.604319183045055,
        4.6043387336705965,
        4.604358761140663,
        4.604378788610729,
        4.604398339236271,
        4.604418366706337,
        4.6044383941764035,
        4.604457944801944,
        4.6044779722720115,
        4.604497999742078,
        4.604517550367619,
        4.604537577837685,
        4.604557605307752,
        4.604577155933293,
        4.604597183403359,
        4.604617210873426,
        4.604636761498967,
        4.6046567889690335,
        4.6046768164391,
        4.6046963670646415,
        4.604716394534708,
        4.604736422004774,
        4.604755972630315,
        4.604776000100382,
        4.6047960275704485,
        4.604815578195989,
        4.6048356056660555,
        4.604855156291597,
        4.6048751837616635,
        4.60489521123173,
        4.604914761857271,
        4.604934789327338,
        4.6049543399528785,
        4.604974367422945,
        4.604994394893012,
        4.605013945518553,
        4.605033972988619,
        4.605053523614161,
        4.605073551084227,
        4.6050935785542935,
        4.605113129179834,
        4.605133156649901,
        4.605152707275442,
        4.6051727347455085,
        4.60519228537105,
        4.605212312841116,
        4.605231863466657,
        4.6052518909367235,
        4.605271918406791,
        4.605291469032331,
        4.605311496502398,
        4.605331047127939,
        4.605351074598006,
        4.6053706252235465,
        4.605390652693613,
        4.605410203319154,
        4.605430230789221,
        4.6054497814147615,
        4.605469808884829,
        4.605489359510369,
        4.605509386980436,
        4.605528937605977,
        4.605548965076044,
        4.605568515701584,
        4.605588543171652,
        4.605608093797192,
        4.605628121267259,
        4.6056476718928,
        4.605667699362867,
        4.605687249988407,
        4.605707277458474,
        4.605726828084015,
        4.605746855554082,
        4.605766406179622,
        4.60578643364969,
        4.60580598427523,
        4.605825534900772,
        4.605845562370838,
        4.605865112996379,
        4.605885140466445,
        4.605904691091987,
        4.605924718562053,
        4.605944269187594,
        4.605964296657661,
        4.605983847283202,
        4.606003397908743,
        4.60602342537881,
        4.606042976004351,
        4.606063003474417,
        4.606082554099959,
        4.606102104725499,
        4.606122132195566,
        4.606141682821107,
        4.606161710291174,
        4.606181260916714,
        4.606200811542256,
        4.606220839012322,
        4.606240389637863,
        4.60626041710793,
        4.606279967733471,
        4.606299518359012,
        4.606319545829079,
        4.60633909645462,
        4.606358647080161,
        4.6063786745502275,
        4.606398225175768,
        4.60641777580131,
        4.606437803271376,
        4.606457353896917,
        4.6064769045224585,
        4.606496931992525,
        4.606516482618066,
        4.606536033243607,
        4.6065560607136735,
        4.606575611339214,
        4.606595161964756,
        4.606615189434822,
        4.606634740060363,
        4.6066542906859045,
        4.606674318155971,
        4.606693868781512,
        4.606713419407053,
        4.6067334468771195,
        4.606752997502661,
        4.606772548128202,
        4.6067920987537425,
        4.60681212622381,
        4.6068316768493505,
        4.606851227474892,
        4.606871254944958,
        4.606890805570499,
        4.606910356196041,
        4.606929906821581,
        4.606949934291648,
        4.606969484917189,
        4.60698903554273,
        4.607008586168272,
        4.607028613638338,
        4.607048164263879,
        4.60706771488942,
        4.607087265514961,
        4.607106816140503,
        4.607126843610569,
        4.60714639423611,
        4.607165944861651,
        4.607185495487192,
        4.607205522957258,
        4.6072250735828,
        4.607244624208341,
        4.607264174833882,
        4.607283725459423,
        4.607303752929489,
        4.607323303555031,
        4.607342854180572,
        4.607362404806113,
        4.607381955431654,
        4.60740198290172,
        4.607421533527262,
        4.607441084152803,
        4.607460634778344,
        4.607480185403885,
        4.607499736029426,
        4.607519763499493,
        4.607539314125034,
        4.607558864750574,
        4.607578415376116,
        4.607597966001657,
        4.607617516627198,
        4.607637067252739,
        4.607657094722805,
        4.607676645348347,
        4.607696195973888,
        4.607715746599429,
        4.60773529722497,
        4.6077548478505115,
        4.607774398476052,
        4.607793949101594,
        4.60781397657166,
        4.607833527197201,
        4.6078530778227424,
        4.607872628448283,
        4.607892179073825,
        4.6079117296993655,
        4.607931280324906,
        4.607950830950448,
        4.6079703815759885,
        4.60798993220153,
        4.608009482827071,
        4.608029510297137,
        4.608049060922679,
        4.6080686115482195,
        4.608088162173761,
        4.608107712799302,
        4.608127263424843,
        4.608146814050384,
        4.608166364675926,
        4.608185915301466,
        4.608205465927008,
        4.608225016552549,
        4.608244567178089,
        4.608264117803631,
        4.608283668429172,
        4.608303219054713,
        4.608322769680254,
        4.608342320305796,
        4.608361870931336,
        4.608381421556878,
        4.608400972182419,
        4.608420522807959,
        4.608440073433501,
        4.608459624059042,
        4.608479174684583,
        4.608498725310124,
        4.6085182759356655,
        4.608537826561206,
        4.608557377186748,
        4.608576927812289,
        4.60859647843783,
        4.608616029063371,
        4.608635579688912,
        4.608655130314453,
        4.608674680939994,
        4.6086942315655355,
        4.608713782191076,
        4.608733332816618,
        4.6087528834421585,
        4.6087724340677,
        4.608791984693241,
        4.6088115353187815,
        4.608831085944323,
        4.608850636569864,
        4.60886971035088,
        4.608889260976421,
        4.608908811601962,
        4.608928362227503,
        4.608947912853044,
        4.608967463478585,
        4.608987014104127,
        4.609006564729667,
        4.609026115355209,
        4.60904566598075,
        4.609065216606291,
        4.609084290387306,
        4.609103841012848,
        4.609123391638389,
        4.60914294226393,
        4.609162492889471,
        4.609182043515013,
        4.609201594140553,
        4.609221144766094,
        4.60924021854711,
        4.609259769172652,
        4.609279319798192,
        4.609298870423734,
        4.609318421049275,
        4.609337971674815,
        4.609357522300357,
        4.609376596081373,
        4.6093961467069136,
        4.609415697332455,
        4.609435247957996,
        4.609454798583537,
        4.609474349209078,
        4.609493422990094,
        4.609512973615635,
        4.609532524241176,
        4.609552074866717,
        4.609571625492258,
        4.609590699273274,
        4.609610249898815,
        4.609629800524356,
        4.609649351149897,
        4.609668901775438,
        4.609687975556454,
        4.609707526181995,
        4.609727076807537,
        4.609746627433077,
        4.609766178058618,
        4.609785251839634,
        4.609804802465176,
        4.609824353090716,
        4.609843903716258,
        4.609862977497273,
        4.609882528122815,
        4.609902078748355,
        4.609921629373897,
        4.609940703154912,
        4.609960253780454,
        4.609979804405994,
        4.609999355031536,
        4.610135255721272,
        4.610154329502288,
        4.61017388012783,
        4.6101934307533705,
        4.6102125045343865,
        4.610232055159927,
        4.610251605785469,
        4.610270679566484,
        4.610290230192025,
        4.610309780817566,
        4.610328854598582,
        4.610348405224124,
        4.610367955849664,
        4.610387506475205,
        4.610406580256221,
        4.610426130881763,
        4.610445204662778,
        4.610464755288319,
        4.61048430591386,
        4.610503379694876,
        4.610522930320417,
        4.610542480945958,
        4.610561554726974,
        4.610581105352515,
        4.610600655978056,
        4.610619729759072,
        4.610639280384613,
        4.610658831010154,
        4.61067790479117,
        4.610697455416711,
        4.610716529197727,
        4.610736079823267,
        4.610755630448809,
        4.610774704229825,
        4.6107942548553655,
        4.6108133286363815,
        4.610832879261922,
        4.610852429887464,
        4.610871503668479,
        4.6108910542940205,
        4.610910128075036,
        4.610929678700577,
        4.610948752481593,
        4.610968303107134,
        4.610987853732675,
        4.6110069275136905,
        4.611026478139232,
        4.611045551920248,
        4.611065102545789,
        4.611084176326805,
        4.611103726952345,
        4.611122800733361,
        4.611142351358902,
        4.611161425139918,
        4.61118097576546,
        4.611200526391,
        4.611219600172016,
        4.611239150797557,
        4.611258224578573,
        4.611277775204114,
        4.61129684898513,
        4.611316399610671,
        4.611335473391686,
        4.611355024017228,
        4.611374097798244,
        4.6113936484237845,
        4.6114127222048005,
        4.611432272830341,
        4.611451346611357,
        4.611470897236898,
        4.611489971017914,
        4.611509521643455,
        4.6115285954244705,
        4.611547669205486,
        4.611567219831027,
        4.611586293612043,
        4.611605844237585,
        4.6116249180186,
        4.611644468644141,
        4.611663542425157,
        4.611683093050698,
        4.611702166831714,
        4.611721717457255,
        4.611740791238271,
        4.611759865019287,
        4.611779415644827,
        4.611798489425843,
        4.611818040051384,
        4.6118371138324,
        4.611856664457941,
        4.611875738238957,
        4.6118948120199725,
        4.611914362645513,
        4.611933436426529,
        4.611952987052071,
        4.611972060833086,
        4.611991134614102,
        4.6120106852396425,
        4.6120297590206585,
        4.612048832801674,
        4.612068383427215,
        4.612087457208231,
        4.612107007833773,
        4.612126081614788,
        4.612145155395804,
        4.612164706021344,
        4.61218377980236,
        4.612202853583376,
        4.612222404208917,
        4.612241477989933,
        4.612260551770949,
        4.61228010239649,
        4.612299176177506,
        4.612318249958522,
        4.612337800584062,
        4.612356874365078,
        4.612375948146094,
        4.612395498771635,
        4.612414572552651,
        4.612433646333667,
        4.6124531969592075,
        4.6124722707402235,
        4.612491344521239,
        4.61251089514678,
        4.612529968927796,
        4.612549042708811,
        4.612568593334353,
        4.612587667115369,
        4.612606740896384,
        4.6126258146774,
        4.612645365302941,
        4.612664439083956,
        4.612683512864972,
        4.612703063490513,
        4.612722137271529,
        4.612741211052545,
        4.612760284833561,
        4.612779835459102,
        4.612798909240118,
        4.6128179830211335,
        4.612837056802149,
        4.61285660742769,
        4.612875681208705,
        4.612894754989721,
        4.612913828770737,
        4.612933379396278,
        4.612952453177294,
        4.61297152695831,
        4.612990600739326,
        4.613009674520341,
        4.613029225145882,
        4.6130482989268975,
        4.6130673727079134,
        4.613086446488929,
        4.613105520269945,
        4.613125070895486,
        4.613144144676502,
        4.613163218457518,
        4.613182292238533,
        4.613201366019549,
        4.61322091664509,
        4.613239990426106,
        4.613259064207122,
        4.613278137988138,
        4.613297211769153,
        4.613316285550169,
        4.61333583617571,
        4.613354909956725,
        4.613373983737741,
        4.613393057518757,
        4.613412131299773,
        4.613431205080788,
        4.61345075570633,
        4.613469829487345,
        4.613488903268361,
        4.613507977049377,
        4.613527050830393,
        4.613546124611408,
        4.613565198392424,
        4.61358427217344,
        4.61360382279898,
        4.613622896579996,
        4.613641970361012,
        4.613661044142027,
        4.613680117923043,
        4.613699191704059,
        4.613718265485075,
        4.61373733926609,
        4.613756413047106,
        4.613775486828122,
        4.613795037453663,
        4.613814111234679,
        4.613833185015695,
        4.613852258796711,
        4.613871332577726,
        4.613890406358742,
        4.613909480139758,
        4.613928553920773,
        4.613947627701789,
        4.613966701482805,
        4.613985775263821,
        4.614004849044836,
        4.614023922825852,
        4.614042996606868,
        4.614062070387884,
        4.614081144168899,
        4.614100217949915,
        4.614119291730931,
        4.614138365511946,
        4.614157439292962,
        4.614176513073978,
        4.6141955868549935,
        4.614215137480534,
        4.61423421126155,
        4.614253285042566,
        4.614272358823581,
        4.614291432604597,
        4.614310506385613,
        4.614329580166629,
        4.614348177103119,
        4.6143672508841345,
        4.61438632466515,
        4.614405398446166,
        4.614424472227181,
        4.614443546008197,
        4.614462619789213,
        4.614481693570229,
        4.614500767351244,
        4.61451984113226,
        4.614538914913276,
        4.614557988694292,
        4.614577062475307,
        4.614596136256323,
        4.614615210037339,
        4.614634283818355,
        4.61465335759937,
        4.614672431380386,
        4.614691505161402,
        4.614710578942417,
        4.614729652723433,
        4.6147482496599235,
        4.614767323440939,
        4.614786397221955,
        4.6148054710029704,
        4.614824544783986,
        4.614843618565002,
        4.614862692346018,
        4.614881766127033,
        4.614900839908049,
        4.614919913689065,
        4.61493898747008,
        4.6149575844065716,
        4.614976658187587,
        4.614995731968603,
        4.6150148057496185,
        4.615033879530634,
        4.6150529533116496,
        4.6150720270926655,
        4.615090624029156,
        4.615109697810172,
        4.615128771591187,
        4.615147845372203,
        4.615166919153219,
        4.615185992934235,
        4.61520506671525,
        4.61522366365174,
        4.615242737432756,
        4.615261811213772,
        4.615280884994788,
        4.615299958775803,
        4.615319032556819,
        4.615337629493309,
        4.615356703274325,
        4.61537577705534,
        4.615394850836356,
        4.615413924617372,
        4.6154325215538625,
        4.6154515953348785,
        4.6154706691158935,
        4.6154897428969095,
        4.6155088166779255,
        4.615527413614416,
        4.615546487395432,
        4.615565561176447,
        4.615584634957463,
        4.615603708738479,
        4.615622305674969,
        4.615641379455985,
        4.615660453237,
        4.615679527018016,
        4.615698123954506,
        4.615717197735522,
        4.615736271516537,
        4.615755345297553,
        4.615773942234044,
        4.6157930160150595,
        4.6158120897960755,
        4.615831163577091,
        4.615849760513581,
        4.615868834294597,
        4.615887908075613,
        4.615906505012103,
        4.615925578793119,
        4.615944652574134,
        4.61596372635515,
        4.61598232329164,
        4.616001397072656,
        4.616020470853672,
        4.616039067790163,
        4.616058141571178,
        4.616077215352194,
        4.616095812288684,
        4.6161148860697,
        4.616133959850716,
        4.616153033631731,
        4.616171630568221,
        4.616190704349237,
        4.616209778130253,
        4.616228375066743,
        4.6162474488477585,
        4.6162665226287745,
        4.616285119565265,
        4.616304193346281,
        4.616323267127297,
        4.616341864063787,
        4.616360937844802,
        4.616379534781292,
        4.616398608562308,
        4.616417682343324,
        4.616436279279815,
        4.6164553530608305,
        4.616474426841846,
        4.616493023778336,
        4.616512097559352,
        4.616530694495842,
        4.616549768276858,
        4.616568842057874,
        4.616587438994364,
        4.6166065127753795,
        4.61662510971187,
        4.616644183492886,
        4.616663257273902,
        4.616681854210392,
        4.616700927991408,
        4.616719524927898,
        4.616738598708913,
        4.616757672489929,
        4.61677626942642,
        4.616795343207436,
        4.616813940143926,
        4.616833013924942,
        4.616851610861432,
        4.616870684642447,
        4.616889758423463,
        4.6169083553599535,
        4.616927429140969,
        4.61694602607746,
        4.616965099858476,
        4.616983696794966,
        4.617002770575981,
        4.617021367512471,
        4.617040441293487,
        4.617059038229978,
        4.617078112010994,
        4.617096708947484,
        4.617115782728499,
        4.61713437966499,
        4.617153453446005,
        4.617172050382496,
        4.6171911241635115,
        4.617209721100002,
        4.617228794881018,
        4.617247391817508,
        4.617266465598523,
        4.6172850625350135,
        4.617304136316029,
        4.61732273325252,
        4.617341807033536,
        4.617360403970026,
        4.617379477751042,
        4.617398074687532,
        4.617417148468547,
        4.617435745405038,
        4.617454819186054,
        4.617473416122544,
        4.61749248990356,
        4.61751108684005,
        4.6175296837765405,
        4.6175487575575564,
        4.617567354494047,
        4.617586428275062,
        4.617605025211552,
        4.617624098992568,
        4.617642695929058,
        4.617661292865549,
        4.617792901954557,
        4.617811975735573,
        4.617830572672063,
        4.6178491696085535,
        4.6178682433895695,
        4.61788684032606,
        4.617905914107076,
        4.617924511043566,
        4.617943107980056,
        4.617962181761071,
        4.617980778697562,
        4.617999375634052,
        4.618018449415068,
        4.618037046351558,
        4.618056120132574,
        4.618074717069065,
        4.618093314005555,
        4.618112387786571,
        4.618130984723061,
        4.6181495816595515,
        4.6181686554405665,
        4.618187252377058,
        4.618205849313548,
        4.618224923094563,
        4.618243520031053,
        4.618262116967544,
        4.61828119074856,
        4.61829978768505,
        4.61831838462154,
        4.618336981558031,
        4.618356055339047,
        4.618374652275537,
        4.618393249212027,
        4.618412322993043,
        4.6184309199295335,
        4.618449516866024,
        4.618468590647039,
        4.618487187583529,
        4.6185057845200195,
        4.61852438145651,
        4.618543455237526,
        4.618562052174016,
        4.618580649110506,
        4.618599246046997,
        4.618618319828013,
        4.618636916764503,
        4.618655513700993,
        4.618674110637484,
        4.6186931844184995,
        4.61871178135499,
        4.61873037829148,
        4.6187489752279705,
        4.6187680490089855,
        4.618786645945476,
        4.618805242881966,
        4.6188238398184565,
        4.618842913599472,
        4.618861510535963,
        4.618880107472453,
        4.618898704408943,
        4.618917301345434,
        4.61893637512645,
        4.61895497206294,
        4.61897356899943,
        4.6189921659359205,
        4.619010762872411,
        4.619029836653427,
        4.619048433589917,
        4.619067030526407,
        4.619085627462898,
        4.619104224399388,
        4.619122821335878,
        4.619141895116894,
        4.619160492053385,
        4.619179088989875,
        4.619197685926365,
        4.619216282862856,
        4.619234879799346,
        4.619253953580361,
        4.619272550516851,
        4.619291147453342,
        4.619309744389832,
        4.619328341326322,
        4.6193469382628125,
        4.619365535199303,
        4.619384608980319,
        4.619403205916809,
        4.619421802853299,
        4.61944039978979,
        4.61945899672628,
        4.61947759366277,
        4.619496190599261,
        4.619514787535751,
        4.619533384472241,
        4.619552458253257,
        4.6195710551897475,
        4.619589652126238,
        4.619608249062728,
        4.6196268459992185,
        4.619645442935709,
        4.619664039872199,
        4.619682636808689,
        4.61970123374518,
        4.61971983068167,
        4.61973842761816,
        4.619757024554651,
        4.619775621491141,
        4.619794695272157,
        4.619813292208647,
        4.6198318891451375,
        4.619850486081628,
        4.619869083018118,
        4.6198876799546085,
        4.619906276891099,
        4.619924873827589,
        4.619943470764079,
        4.61996206770057,
        4.61998066463706,
        4.61999926157355,
        4.620017858510041,
        4.620036455446531,
        4.620055052383021,
        4.620073649319512,
        4.620092246256002,
        4.620110843192492,
        4.6201294401289825,
        4.620148037065473,
        4.620166634001963,
        4.6201852309384535,
        4.620203827874944,
        4.620222424811434,
        4.620241021747924,
        4.620259618684415,
        4.620278215620905,
        4.620296812557395,
        4.620315409493886,
        4.620334006430376,
        4.620352603366866,
        4.620371200303357,
        4.620389797239847,
        4.620408394176337,
        4.6204269911128275,
        4.620445588049318,
        4.620463708141283,
        4.620482305077774,
        4.620500902014264,
        4.620519498950754,
        4.620538095887245,
        4.620556692823735,
        4.620575289760225,
        4.620593886696716,
        4.620612483633206,
        4.620631080569696,
        4.6206496775061865,
        4.620668274442677,
        4.620686871379167,
        4.620704991471132,
        4.620723588407622,
        4.620742185344112,
        4.620760782280603,
        4.620779379217093,
        4.620797976153583,
        4.620816573090074,
        4.620835170026564,
        4.620853766963054,
        4.620871887055019,
        4.620890483991509,
        4.6209090809280005,
        4.620927677864491,
        4.620946274800981,
        4.620964871737471,
        4.620983468673962,
        4.621001588765926,
        4.621020185702417,
        4.621038782638907,
        4.621057379575397,
        4.621075976511888,
        4.621094573448378,
        4.621112693540343,
        4.621131290476833,
        4.621149887413323,
        4.6211684843498135,
        4.621187081286304,
        4.621205678222794,
        4.62122379831476,
        4.62124239525125,
        4.62126099218774,
        4.621279589124231,
        4.621298186060721,
        4.621316306152686,
        4.621334903089176,
        4.621353500025666,
        4.621372096962157,
        4.621390693898647,
        4.6214088139906115,
        4.621427410927102,
        4.621446007863592,
        4.6214646048000825,
        4.621482724892048,
        4.621501321828538,
        4.621519918765029,
        4.621538515701519,
        4.621556635793484,
        4.621575232729974,
        4.621593829666464,
        4.621612426602955,
        4.621630546694919,
        4.6216491436314096,
        4.6216677405679,
        4.62168633750439,
        4.621704457596356,
        4.621723054532846,
        4.621741651469336,
        4.621760248405827,
        4.621778368497791,
        4.621796965434282,
        4.621815562370772,
        4.621833682462737,
        4.621852279399227,
        4.621870876335717,
        4.621889473272208,
        4.621907593364173,
        4.621926190300663,
        4.621944787237154,
        4.621962907329118,
        4.621981504265609,
        4.622000101202099,
        4.622018221294064,
        4.622036818230554,
        4.622055415167044,
        4.62207353525901,
        4.6220921321955,
        4.6221107291319905,
        4.622128849223955,
        4.6221474461604455,
        4.622166043096936,
        4.6221841631889005,
        4.622202760125391,
        4.622221357061881,
        4.622239477153847,
        4.622258074090337,
        4.622276671026827,
        4.622294791118792,
        4.622313388055282,
        4.622331508147247,
        4.622350105083737,
        4.6223687020202275,
        4.622386822112192,
        4.622405419048683,
        4.622424015985174,
        4.622442136077138,
        4.622460733013629,
        4.622478853105593,
        4.622497450042084,
        4.622515570134048,
        4.622534167070539,
        4.622552764007029,
        4.6225708840989945,
        4.622589481035485,
        4.6226076011274495,
        4.62262619806394,
        4.62264479500043,
        4.622662915092395,
        4.622681512028885,
        4.622699632120851,
        4.622718229057341,
        4.622736349149306,
        4.622754946085796,
        4.622773066177761,
        4.622791663114251,
        4.622810260050741,
        4.622828380142707,
        4.622846977079197,
        4.622865097171162,
        4.622883694107652,
        4.622901814199617,
        4.622920411136107,
        4.622938531228073,
        4.622957128164563,
        4.622975248256528,
        4.622993845193018,
        4.623011965284983,
        4.623030562221473,
        4.623048682313438,
        4.623067279249928,
        4.623085399341893,
        4.623103996278384,
        4.623122116370348,
        4.623140713306839,
        4.623158833398803,
        4.623177430335294,
        4.623195550427259,
        4.62321414736375,
        4.623232267455714,
        4.623250864392205,
        4.623268984484169,
        4.6232875814206595,
        4.623305701512625,
        4.62332382160459,
        4.62334241854108,
        4.623360538633045,
        4.623379135569535,
        4.623397255661501,
        4.623415852597991,
        4.623433972689956,
        4.623452569626446,
        4.623470689718411,
        4.623488809810375,
        4.6235074067468656,
        4.623525526838831,
        4.623544123775321,
        4.623562243867286,
        4.623580840803776,
        4.623598960895741,
        4.623617080987707,
        4.623635677924197,
        4.623653798016162,
        4.623672394952652,
        4.623690515044617,
        4.623708635136582,
        4.6237272320730725,
        4.623745352165037,
        4.623763472257002,
        4.623782069193492,
        4.623800189285458,
        4.623818786221948,
        4.623836906313913,
        4.623855026405877,
        4.623873623342368,
        4.623891743434332,
        4.623909863526298,
        4.623928460462788,
        4.623946580554753,
        4.6239647006467175,
        4.623983297583208,
        4.624001417675173,
        4.624019537767138,
        4.624038134703628,
        4.624056254795593,
        4.624074374887559,
        4.624092971824049,
        4.6241110919160135,
        4.624129212007978,
        4.6241478089444685,
        4.624165929036433,
        4.624184049128399,
        4.624202646064889,
        4.624220766156854,
        4.624238886248818,
        4.624257483185309,
        4.624275603277274,
        4.624293723369239,
        4.624311843461204,
        4.624330440397694,
        4.6243485604896595,
        4.624366680581624,
        4.6243852775181145,
        4.624403397610079,
        4.624421517702044,
        4.624439637794009,
        4.6244582347305,
        4.624476354822464,
        4.624494474914429,
        4.6245125950063946,
        4.624531191942885,
        4.6245493120348495,
        4.624567432126814,
        4.62458555221878,
        4.62460414915527,
        4.624622269247235,
        4.624640389339199,
        4.624658509431164,
        4.624677106367654,
        4.62469522645962,
        4.624713346551585,
        4.624731466643549,
        4.624749586735515,
        4.624768183672005,
        4.62478630376397,
        4.6248044238559345,
        4.6248225439479,
        4.624840664039865,
        4.624859260976355,
        4.62487738106832,
        4.624895501160284,
        4.62491362125225,
        4.624931741344215,
        4.624950338280705,
        4.62496845837267,
        4.624986578464635,
        4.6250046985566,
        4.6250228186485645,
        4.62504093874053,
        4.62505953567702,
        4.625077655768985,
        4.62509577586095,
        4.625113895952914,
        4.62513201604488,
        4.625150136136845,
        4.625168256228809,
        4.6251868531652995,
        4.625204973257265,
        4.62522309334923,
        4.625241213441194,
        4.625259333533159,
        4.625277453625125,
        4.625295573717089,
        4.625313693809054,
        4.625332290745544,
        4.62535041083751,
        4.6253685309294745,
        4.625386651021439,
        4.625404771113405,
        4.6255502086936495,
        4.625568328785614,
        4.625586448877579,
        4.625604568969544,
        4.625622689061509,
        4.625640809153474,
        4.625658929245438,
        4.625677049337404,
        4.625695169429369,
        4.625713289521333,
        4.625731409613299,
        4.6257495297052635,
        4.625767649797228,
        4.625785769889193,
        4.625803889981158,
        4.625822010073123,
        4.625840607009613,
        4.625858727101578,
        4.625876847193544,
        4.625894967285508,
        4.625913087377473,
        4.6259312074694385,
        4.625949327561403,
        4.625967447653368,
        4.626058048113193,
        4.626076168205158,
        4.626094288297122,
        4.626112408389088,
        4.6261305284810526,
        4.626148648573017,
        4.626166291820457,
        4.626184411912422,
        4.6262025320043865,
        4.626220652096352,
        4.626238772188317,
        4.626256892280281,
        4.626275012372246,
        4.626293132464212,
        4.626311252556176,
        4.626329372648141,
        4.6263474927401065,
        4.626365612832071,
        4.626383732924036,
        4.626401853016001,
        4.626419973107966,
        4.626438093199931,
        4.626456213291895,
        4.626474333383861,
        4.6264919766313,
        4.6265100967232655,
        4.62652821681523,
        4.626546336907195,
        4.6265644569991595,
        4.626582577091125,
        4.62660069718309,
        4.626618817275054,
        4.62663693736702,
        4.626655057458985,
        4.626672700706425,
        4.626690820798389,
        4.626708940890354,
        4.626727060982319,
        4.626745181074284,
        4.626763301166249,
        4.6267814212582135,
        4.626799541350179,
        4.626817184597618,
        4.626835304689583,
        4.626853424781548,
        4.626871544873513,
        4.626889664965478,
        4.626907785057443,
        4.626925905149408,
        4.626943548396847,
        4.626961668488812,
        4.626979788580777,
        4.626997908672742,
        4.627016028764707,
        4.627034148856672,
        4.627051792104112,
        4.6270699121960766,
        4.627088032288041,
        4.627106152380006,
        4.6271242724719714,
        4.6271419157194105,
        4.627160035811376,
        4.627178155903341,
        4.627196275995305,
        4.62721439608727,
        4.62723203933471,
        4.627250159426675,
        4.62726827951864,
        4.627286399610605,
        4.6273045197025695,
        4.627322162950009,
        4.627340283041974,
        4.627358403133939,
        4.627376523225904,
        4.627394166473343,
        4.627412286565309,
        4.627430406657274,
        4.627448526749238,
        4.627466169996678,
        4.627484290088643,
        4.6275024101806075,
        4.627520530272573,
        4.627538173520012,
        4.627556293611977,
        4.627574413703942,
        4.627592533795907,
        4.627610177043347,
        4.6276282971353115,
        4.627646417227276,
        4.627664060474716,
        4.627682180566681,
        4.6277003006586455,
        4.627718420750611,
        4.62773606399805,
        4.627754184090016,
        4.62777230418198,
        4.627789947429419,
        4.627808067521385,
        4.6278261876133495,
        4.627843830860789,
        4.627861950952754,
        4.627880071044719,
        4.627897714292159,
        4.627915834384123,
        4.627933954476088,
        4.627952074568054,
        4.627969717815493,
        4.627987837907458,
        4.628005481154897,
        4.628023601246862,
        4.628041721338827,
        4.628059364586266,
        4.628077484678232,
        4.628095604770197,
        4.628113248017636,
        4.628131368109601,
        4.628149488201566,
        4.628167131449006,
        4.6281852515409705,
        4.628203371632935,
        4.628221014880375,
        4.62823913497234,
        4.62825677821978,
        4.628274898311744,
        4.628293018403709,
        4.628310661651149,
        4.628328781743114,
        4.6283464249905535,
        4.628364545082518,
        4.628382665174483,
        4.628400308421923,
        4.628418428513887,
        4.628436071761327,
        4.628454191853292,
        4.628472311945257,
        4.628489955192697,
        4.628508075284661,
        4.628525718532101,
        4.628543838624066,
        4.628561481871506,
        4.62857960196347,
        4.628597722055435,
        4.628615365302875,
        4.62863348539484,
        4.62865112864228,
        4.628669248734244,
        4.628686891981684,
        4.628705012073649,
        4.628722655321088,
        4.628740775413053,
        4.628758418660492,
        4.628776538752458,
        4.628794658844423,
        4.628812302091862,
        4.628830422183827,
        4.628848065431266,
        4.628866185523232,
        4.628883828770671,
        4.628901948862636,
        4.628919592110075,
        4.62893771220204,
        4.62895535544948,
        4.628973475541445,
        4.628991118788885,
        4.629009238880849,
        4.629026882128289,
        4.629045002220254,
        4.629062645467694,
        4.629080765559658,
        4.629098408807097,
        4.629116052054537,
        4.629134172146502,
        4.629151815393942,
        4.629169935485907,
        4.6291875787333465,
        4.629205698825311,
        4.629223342072751,
        4.629241462164716,
        4.629259105412156,
        4.62927722550412,
        4.629294868751559,
        4.629312511998999,
        4.629330632090964,
        4.629348275338404,
        4.6293663954303685,
        4.6293840386778085,
        4.629402158769773,
        4.629419802017213,
        4.629437445264652,
        4.629455565356617,
        4.629473208604057,
        4.629491328696021,
        4.629508971943461,
        4.6295266151909,
        4.629544735282866,
        4.629562378530305,
        4.62958049862227,
        4.629598141869709,
        4.629615785117149,
        4.629633905209114,
        4.629651548456554,
        4.629669668548519,
        4.6296873117959585,
        4.6297049550433975,
        4.629723075135362,
        4.629740718382802,
        4.629758361630242,
        4.629776481722207,
        4.629794124969646,
        4.629811768217086,
        4.62982988830905,
        4.62984753155649,
        4.629865651648455,
        4.629883294895895,
        4.629900938143334,
        4.629919058235299,
        4.629936701482738,
        4.629954344730178,
        4.629972464822143,
        4.629990108069583,
        4.630007751317022,
        4.630025394564462,
        4.6300435146564265,
        4.630061157903866,
        4.630078801151305,
        4.630096921243271,
        4.63011456449071,
        4.63013220773815,
        4.630150327830115,
        4.6301679710775545,
        4.6301856143249935,
        4.6302032575724335,
        4.630221377664398,
        4.630239020911838,
        4.630256664159277,
        4.630274784251242,
        4.630292427498682,
        4.6303100707461216,
        4.630327713993561,
        4.630345834085526,
        4.630363477332965,
        4.630381120580405,
        4.630398763827844,
        4.63041688391981,
        4.630434527167249,
        4.630452170414689,
        4.630469813662128,
        4.630487933754093,
        4.630505577001532,
        4.630523220248972,
        4.630540863496411,
        4.630558983588377,
        4.630576626835816,
        4.630594270083256,
        4.630611913330695,
        4.630629556578135,
        4.630647676670099,
        4.630665319917539,
        4.630682963164978,
        4.630700606412418,
        4.630718726504383,
        4.630736369751823,
        4.630754012999262,
        4.630771656246702,
        4.6307892994941415,
        4.630806942741581,
        4.630825062833545,
        4.630842706080985,
        4.630860349328425,
        4.630877992575864,
        4.630895635823304,
        4.630913755915269,
        4.630931399162709,
        4.630949042410148,
        4.6309666856575875,
        4.6309843289050265,
        4.6310019721524665,
        4.6310196153999055,
        4.631037735491871,
        4.63105537873931,
        4.63107302198675,
        4.631090665234189,
        4.631108308481629,
        4.631125951729069,
        4.631143594976508,
        4.6311617150684725,
        4.631179358315912,
        4.631197001563352,
        4.631214644810791,
        4.631232288058231,
        4.63124993130567,
        4.63126757455311,
        4.63128521780055,
        4.631302861047989,
        4.631320981139954,
        4.631338624387394,
        4.631356267634834,
        4.631373910882273,
        4.631391554129713,
        4.631409197377152,
        4.6314268406245915,
        4.631444483872031,
        4.6314621271194705,
        4.63147977036691,
        4.631497413614349,
        4.631515056861789,
        4.631532700109228,
        4.631550820201194,
        4.631568463448633,
        4.631586106696073,
        4.631603749943512,
        4.631621393190952,
        4.631639036438392,
        4.631656679685831,
        4.631674322933271,
        4.63169196618071,
        4.63170960942815,
        4.631727252675589,
        4.6317448959230285,
        4.631762539170468,
        4.6317801824179075,
        4.631797825665347,
        4.631815468912786,
        4.631833112160226,
        4.631850755407665,
        4.631868398655105,
        4.631886041902545,
        4.631903685149984,
        4.631921328397424,
        4.631938971644863,
        4.631956614892303,
        4.631974258139742,
        4.631991901387182,
        4.632009544634622,
        4.632027187882061,
        4.632044831129501,
        4.63206247437694,
        4.63208011762438,
        4.63209776087182,
        4.632115404119259,
        4.632133047366699,
        4.632150690614138,
        4.632168333861578,
        4.632185977109017,
        4.6322036203564565,
        4.632221263603896,
        4.632238906851335,
        4.63225607325425,
        4.63227371650169,
        4.632291359749129,
        4.632309002996569,
        4.632326646244008,
        4.6323442894914475,
        4.6323619327388865,
        4.632379575986326,
        4.632397219233766,
        4.632414862481205,
        4.632432505728645,
        4.632450148976084,
        4.632467792223524,
        4.6324849586264385,
        4.6325026018738775,
        4.632520245121317,
        4.6325378883687565,
        4.632555531616196,
        4.632573174863636,
        4.632590818111075,
        4.632608461358515,
        4.632626104605954,
        4.6326432710088685,
        4.632660914256308,
        4.6326785575037475,
        4.632696200751187,
        4.632713843998627,
        4.632731487246066,
        4.632749130493506,
        4.6327662968964205,
        4.6327839401438595,
        4.632801583391299,
        4.6328192266387385,
        4.632836869886178,
        4.632854513133617,
        4.632871679536532,
        4.632889322783972,
        4.632906966031411,
        4.6329246092788505,
        4.63294225252629,
        4.6329598957737295,
        4.632977062176644,
        4.632994705424084,
        4.633012348671523,
        4.633029991918963,
        4.633047635166402,
        4.633064801569316,
        4.633082444816756,
        4.633100088064195,
        4.633117731311635,
        4.633135374559075,
        4.633152540961988,
        4.633170184209428,
        4.633187827456868,
        4.633205470704307,
        4.633223113951747,
        4.633240280354661,
        4.6332579236021,
        4.63327556684954,
        4.6333981158925654,
        4.633415759140005,
        4.633433402387444,
        4.633450568790359,
        4.633468212037799,
        4.633485855285238,
        4.6335034985326775,
        4.633520664935592,
        4.633538308183031,
        4.633555951430471,
        4.633573594677911,
        4.633590761080824,
        4.633608404328264,
        4.633626047575704,
        4.633643213978617,
        4.633660857226057,
        4.633678500473497,
        4.633695666876411,
        4.63371331012385,
        4.63373095337129,
        4.633748596618729,
        4.633765763021644,
        4.6337834062690835,
        4.6338010495165225,
        4.633818215919437,
        4.633835859166877,
        4.633853502414316,
        4.63387066881723,
        4.63388831206467,
        4.633905955312109,
        4.633923121715023,
        4.633940764962463,
        4.633958408209902,
        4.633975574612816,
        4.633993217860256,
        4.634010384263171,
        4.63402802751061,
        4.6340456707580495,
        4.634062837160964,
        4.634080480408403,
        4.634098123655843,
        4.634115290058757,
        4.634132933306196,
        4.634150576553636,
        4.63416774295655,
        4.634185386203989,
        4.6342025526069035,
        4.634220195854343,
        4.634237839101782,
        4.634255005504697,
        4.634272648752137,
        4.63428981515505,
        4.63430745840249,
        4.63432510164993,
        4.634342268052844,
        4.634359911300283,
        4.634377077703197,
        4.634394720950637,
        4.634411887353551,
        4.634429530600991,
        4.6344471738484305,
        4.634464340251344,
        4.634481983498784,
        4.634499149901698,
        4.634516793149137,
        4.634533959552051,
        4.634551602799491,
        4.63456924604693,
        4.634586412449845,
        4.6346040556972845,
        4.634621222100199,
        4.634638865347638,
        4.634656031750552,
        4.634673674997992,
        4.634690841400906,
        4.634708484648345,
        4.6347256510512596,
        4.6347432942986995,
        4.634760460701613,
        4.634778103949053,
        4.634795270351967,
        4.634812913599406,
        4.63483008000232,
        4.63484772324976,
        4.6348648896526745,
        4.6348825329001135,
        4.634899699303028,
        4.634917342550468,
        4.634934508953382,
        4.634952152200821,
        4.634969318603735,
        4.634986961851175,
        4.635004128254089,
        4.6350217715015285,
        4.635038937904443,
        4.635056581151883,
        4.635073747554796,
        4.635091390802236,
        4.63510855720515,
        4.635126200452589,
        4.6351433668555035,
        4.6351610101029435,
        4.635178176505858,
        4.635195342908772,
        4.635212986156211,
        4.635230152559125,
        4.635247795806565,
        4.635264962209479,
        4.6352826054569185,
        4.635299771859833,
        4.635316938262747,
        4.635334581510186,
        4.6353517479131,
        4.63536939116054,
        4.6353865575634545,
        4.6354042008108935,
        4.635421367213808,
        4.635438533616722,
        4.635456176864161,
        4.635473343267075,
        4.635490986514515,
        4.63550815291743,
        4.635525319320344,
        4.635542962567783,
        4.635560128970697,
        4.635577295373611,
        4.637069341893565,
        4.638630054025176,
        4.638650558339768,
        4.63867106265436,
        4.638691566968952,
        4.63871254812807,
        4.638733052442662,
        4.638753556757253,
        4.638774537916371,
        4.638795042230963,
        4.638815546545555,
        4.6388365277046715,
        4.6388570320192635,
        4.6388775363338555,
        4.6388980406484475,
        4.638919021807565,
        4.638939526122157,
        4.638960030436748,
        4.63898053475134,
        4.639001515910458,
        4.63902202022505,
        4.639042524539642,
        4.639063028854234,
        4.639084010013351,
        4.639104514327943,
        4.639125018642535,
        4.639145522957127,
        4.639166504116243,
        4.639187008430835,
        4.639207512745427,
        4.639228017060019,
        4.639248521374611,
        4.639269502533729,
        4.63929000684832,
        4.639310511162912,
        4.639331015477504,
        4.639351519792096,
        4.639372500951214,
        4.639393005265806,
        4.639413509580398,
        4.639434013894989,
        4.639454518209581,
        4.639475499368698,
        4.63949600368329,
        4.639516507997882,
        4.639537012312474,
        4.6395575166270655,
        4.6395780209416575,
        4.639599002100775,
        4.639619506415367,
        4.639640010729959,
        4.639660515044551,
        4.639681019359142,
        4.639701523673734,
        4.639722027988326,
        4.639743009147444,
        4.639763513462036,
        4.639784017776628,
        4.63980452209122,
        4.639825026405811,
        4.639845530720403,
        4.639866035034995,
        4.639886539349587,
        4.639907043664179,
        4.639928024823297,
        4.639948529137888,
        4.63996903345248,
        4.639989537767072,
        4.640010042081664,
        4.640030546396256,
        4.640051050710848,
        4.64007155502544,
        4.640092059340032,
        4.640112563654624,
        4.640133067969215,
        4.640153572283807,
        4.640174076598399,
        4.640194580912991,
        4.640215085227583,
        4.6402360663867,
        4.6402565707012915,
        4.6402770750158835,
        4.6402975793304755,
        4.6403180836450675,
        4.6403385879596595,
        4.6403590922742515,
        4.6403795965888435,
        4.6404001009034355,
        4.6404206052180275,
        4.640441109532619,
        4.640461613847211,
        4.640482118161803,
        4.640502622476395,
        4.6405231267909866,
        4.6405436311055785,
        4.6405641354201705,
        4.6405846397347625,
        4.6406051440493545,
        4.640625648363946,
        4.640646152678538,
        4.64066665699313,
        4.640687161307722,
        4.640707188777788,
        4.64072769309238,
        4.640748197406972,
        4.640768701721564,
        4.640789206036156,
        4.640809710350748,
        4.64083021466534,
        4.640850718979931,
        4.640871223294523,
        4.640891727609115,
        4.640912231923707,
        4.640932736238299,
        4.640953240552891,
        4.640973744867483,
        4.640994249182075,
        4.641014276652141,
        4.641034780966733,
        4.641055285281325,
        4.641075789595917,
        4.6410962939105085,
        4.6411167982251005,
        4.6411373025396925,
        4.6411578068542845,
        4.6411783111688765,
        4.641198338638943,
        4.641218842953535,
        4.641239347268127,
        4.641361896311152,
        4.641382400625744,
        4.641402904940336,
        4.641423409254928,
        4.64144391356952,
        4.641463941039587,
        4.641484445354179,
        4.641504949668771,
        4.641525453983363,
        4.641545958297955,
        4.641566462612547,
        4.641586490082613,
        4.641606994397205,
        4.641627498711797,
        4.641648003026388,
        4.64166850734098,
        4.641688534811047,
        4.641709039125638,
        4.64172954344023,
        4.641750047754822,
        4.641770075224889,
        4.641790579539481,
        4.641811083854073,
        4.641831588168665,
        4.641851615638731,
        4.641872119953323,
        4.641892624267915,
        4.641913128582507,
        4.641933156052573,
        4.641953660367165,
        4.641974164681757,
        4.641994668996349,
        4.642014696466416,
        4.642035200781008,
        4.6420557050956,
        4.642076209410191,
        4.642096236880258,
        4.64211674119485,
        4.642137245509441,
        4.642157272979508,
        4.6421777772940995,
        4.6421982816086915,
        4.6422187859232835,
        4.64223881339335,
        4.642259317707942,
        4.642279822022534,
        4.6422998494926,
        4.642320353807192,
        4.642340858121784,
        4.642360885591851,
        4.642381389906443,
        4.6424018942210346,
        4.642421921691101,
        4.642442426005693,
        4.642462930320285,
        4.642482957790351,
        4.642503462104943,
        4.642523966419535,
        4.642543993889602,
        4.642564498204194,
        4.64258452567426,
        4.642605029988852,
        4.642625534303444,
        4.64264556177351,
        4.642666066088102,
        4.642686570402694,
        4.642706597872761,
        4.642727102187353,
        4.642747129657419,
        4.642767633972011,
        4.642788138286603,
        4.642808165756669,
        4.642828670071261,
        4.642848697541328,
        4.64286920185592,
        4.642889706170512,
        4.642909733640578,
        4.64293023795517,
        4.642950265425236,
        4.642970769739828,
        4.642990797209895,
        4.643011301524487,
        4.643031328994553,
        4.643051833309145,
        4.643072337623737,
        4.643092365093803,
        4.643112869408395,
        4.643132896878462,
        4.643153401193054,
        4.64317342866312,
        4.643193932977712,
        4.6432139604477785,
        4.6432344647623705,
        4.643254492232437,
        4.643274996547029,
        4.643295024017095,
        4.643315528331687,
        4.6433355558017535,
        4.6433560601163455,
        4.643376087586413,
        4.643396591901004,
        4.643416619371071,
        4.643437123685662,
        4.643457151155729,
        4.643477655470321,
        4.643497682940388,
        4.64351818725498,
        4.643538214725046,
        4.643558719039638,
        4.6435787465097045,
        4.6435992508242965,
        4.643619278294363,
        4.643639305764429,
        4.643659810079021,
        4.6436798375490875,
        4.6437003418636795,
        4.643720369333746,
        4.643740873648338,
        4.643760901118404,
        4.643781405432996,
        4.643801432903063,
        4.643821460373129,
        4.643841964687721,
        4.643861992157787,
        4.643882496472379,
        4.6439025239424465,
        4.643922551412513,
        4.643943055727105,
        4.643963083197171,
        4.643983587511763,
        4.64400361498183,
        4.644023642451896,
        4.644044146766488,
        4.644064174236554,
        4.644084201706621,
        4.644104706021213,
        4.644124733491279,
        4.644145237805871,
        4.644165265275937,
        4.644185292746004,
        4.644205797060596,
        4.644225824530663,
        4.644245852000729,
        4.644266356315321,
        4.644286383785388,
        4.644306411255454,
        4.644326915570046,
        4.644346943040112,
        4.644366970510179,
        4.644387474824771,
        4.644407502294837,
        4.644427529764903,
        4.644448034079495,
        4.644468061549562,
        4.644488089019629,
        4.644508116489695,
        4.644528620804287,
        4.644548648274354,
        4.64456867574442,
        4.644589180059012,
        4.644609207529078,
        4.644629234999145,
        4.644649262469211,
        4.644669766783803,
        4.644689794253869,
        4.644709821723937,
        4.644729849194003,
        4.644750353508595,
        4.644770380978661,
        4.644790408448728,
        4.644810435918794,
        4.644830940233386,
        4.644850967703452,
        4.644870995173519,
        4.644891022643586,
        4.644911526958177,
        4.644931554428244,
        4.644951581898311,
        4.644971609368377,
        4.644992113682969,
        4.645012141153035,
        4.645032168623102,
        4.645052196093168,
        4.645072223563235,
        4.6450927278778265,
        4.645112755347894,
        4.64513278281796,
        4.645152810288026,
        4.645172837758093,
        4.645192865228159,
        4.645213369542751,
        4.6452333970128175,
        4.645253424482884,
        4.645273451952951,
        4.645293479423017,
        4.645313506893084,
        4.645334011207676,
        4.645354038677742,
        4.6453740661478085,
        4.645394093617875,
        4.645414121087942,
        4.645434148558008,
        4.645454176028075,
        4.645474680342667,
        4.645494707812733,
        4.6455147352827995,
        4.645534762752866,
        4.645554790222932,
        4.645574817692999,
        4.645594845163066,
        4.645614872633132,
        4.645635376947724,
        4.6456554044177905,
        4.645675431887857,
        4.645695459357923,
        4.6457154868279895,
        4.645735514298057,
        4.645755541768123,
        4.6457755692381895,
        4.645795596708256,
        4.645815624178322,
        4.6458356516483885,
        4.645855679118456,
        4.645875706588522,
        4.645896210903114,
        4.6459162383731805,
        4.645936265843247,
        4.645956293313313,
        4.6459763207833795,
        4.645996348253447,
        4.646016375723513,
        4.6460364031935795,
        4.646056430663646,
        4.646076458133712,
        4.6460964856037785,
        4.646116513073846,
        4.646136540543912,
        4.6461565680139785,
        4.646176595484045,
        4.646196622954111,
        4.6462166504241775,
        4.646236677894245,
        4.646256705364311,
        4.6462767328343775,
        4.646296760304444,
        4.64631678777451,
        4.6463368152445765,
        4.646356842714644,
        4.64637687018471,
        4.6463968976547765,
        4.646416925124843,
        4.646436952594909,
        4.6464569800649755,
        4.646477007535043,
        4.646497035005109,
        4.6465170624751755,
        4.646537089945242,
        4.646556640570783,
        4.64657666804085,
        4.646596695510916,
        4.6466167229809825,
        4.646636750451049,
        4.646656777921115,
        4.646676805391182,
        4.646696832861249,
        4.646716860331315,
        4.6467368878013815,
        4.646756915271448,
        4.646776942741514,
        4.6467969702115814,
        4.646816520837122,
        4.6468365483071885,
        4.646856575777255,
        4.646876603247322,
        4.6468966307173885,
        4.646916658187455,
        4.646936685657521,
        4.6469567131275875,
        4.646976263753129,
        4.6469962912231955,
        4.647016318693262,
        4.647036346163328,
        4.6470563736333945,
        4.647076401103461,
        4.647096428573528,
        4.647115979199069,
        4.647136006669135,
        4.6471560341392015,
        4.647176061609269,
        4.647196089079335,
        4.6472161165494015,
        4.647235667174942,
        4.647255694645009,
        4.647275722115076,
        4.647295749585142,
        4.6473157770552085,
        4.647335804525275,
        4.647355355150816,
        4.647375382620883,
        4.647395410090949,
        4.6474154375610155,
        4.647434988186557,
        4.6474550156566234,
        4.64747504312669,
        4.647495070596756,
        4.6475150980668225,
        4.647534648692364,
        4.6475546761624305,
        4.647574703632497,
        4.647594731102563,
        4.647614281728105,
        4.647634309198171,
        4.6476543366682375,
        4.647674364138304,
        4.647693914763845,
        4.647713942233912,
        4.647733969703978,
        4.6477539971740445,
        4.647773547799586,
        4.647793575269652,
        4.647813602739719,
        4.647833630209785,
        4.647853180835327,
        4.647873208305393,
        4.647893235775459,
        4.647912786401,
        4.647932813871067,
        4.647952841341134,
        4.6479728688112,
        4.647992419436741,
        4.648012446906807,
        4.648032474376874,
        4.648052025002415,
        4.6480720524724815,
        4.648092079942548,
        4.648111630568089,
        4.648131658038156,
        4.648151685508222,
        4.648171236133764,
        4.64819126360383,
        4.648211291073896,
        4.648230841699437,
        4.648250869169504,
        4.648270896639571,
        4.648290447265111,
        4.648310474735178,
        4.648330025360719,
        4.648350052830786,
        4.648370080300852,
        4.648389630926394,
        4.64840965839646,
        4.648429685866526,
        4.648449236492067,
        4.648469263962134,
        4.648488814587675,
        4.648508842057741,
        4.648528869527808,
        4.648548420153349,
        4.648568447623416,
        4.648587998248956,
        4.648608025719024,
        4.64862805318909,
        4.648647603814631,
        4.648667631284697,
        4.648687181910239,
        4.648707209380305,
        4.648726760005846,
        4.648746787475913,
        4.648766814945979,
        4.64878636557152,
        4.648806393041586,
        4.648825943667128,
        4.648845971137194,
        4.648865521762736,
        4.648885549232802,
        4.648905099858343,
        4.648925127328409,
        4.648944677953951,
        4.648964705424017,
        4.648984732894084,
        4.649004283519625,
        4.649024310989692,
        4.649043861615232,
        4.649063889085299,
        4.64908343971084,
        4.649103467180907,
        4.649123017806447,
        4.649143045276515,
        4.649162595902055,
        4.649182623372122,
        4.649202173997663,
        4.649221724623204,
        4.64924175209327,
        4.649261302718812,
        4.649281330188878,
        4.649300880814419,
        4.649320908284485,
        4.649340458910027,
        4.649400064475701,
        4.649419615101242,
        4.649439642571308,
        4.64945919319685,
        4.649478743822391,
        4.649498771292457,
        4.6495183219179985,
        4.649538349388065,
        4.649557900013606,
        4.649577927483673,
        4.6495974781092135,
        4.649617028734755,
        4.6496370562048215,
        4.649656606830362,
        4.6496766343004285,
        4.64969618492597,
        4.649715735551511,
        4.649735763021577,
        4.649755313647119,
        4.649775341117185,
        4.649794891742726,
        4.6498144423682675,
        4.649834469838334,
        4.649854020463875,
        4.649873571089416,
        4.6498935985594825,
        4.649913149185024,
        4.64993317665509,
        4.649952727280631,
        4.649972277906173,
        4.649992305376239,
        4.65001185600178,
        4.650031406627321,
        4.650051434097388,
        4.6500709847229285,
        4.65009053534847,
        4.650110562818536,
        4.650130113444077,
        4.650149664069619,
        4.650169691539685,
        4.650189242165226,
        4.650208792790767,
        4.650228343416308,
        4.650248370886375,
        4.650267921511916,
        4.650287472137457,
        4.650307499607524,
        4.650327050233065,
        4.650346600858606,
        4.650366628328673,
        4.650386178954213,
        4.650405729579755,
        4.650425280205296,
        4.650445307675362,
        4.650464858300904,
        4.650484408926444,
        4.650503959551986,
        4.650523987022052,
        4.650543537647593,
        4.650563088273135,
        4.650582638898675,
        4.650602666368742,
        4.650622216994283,
        4.650641767619824,
        4.6506613182453655,
        4.650681345715432,
        4.650700896340973,
        4.650720446966514,
        4.650739997592055,
        4.6507595482175965,
        4.650779575687663,
        4.650799126313204,
        4.650818676938745,
        4.650838227564286,
        4.650858255034352,
        4.650877805659894,
        4.6508973562854345,
        4.650916906910976,
        4.650936457536517,
        4.6509560081620585,
        4.650976035632125,
        4.6509955862576655,
        4.651015136883207,
        4.651034687508748,
        4.6510542381342885,
        4.65107378875983,
        4.6510938162298965,
        4.651113366855438,
        4.651132917480979,
        4.6511524681065195,
        4.651172018732061,
        4.651191569357602,
        4.651211119983143,
        4.65123114745321,
        4.6512506980787505,
        4.651270248704292,
        4.651289799329833,
        4.651309349955374,
        4.651328900580915,
        4.651348451206457,
        4.651368001831997,
        4.651388029302064,
        4.651407579927605,
        4.651427130553146,
        4.651446681178688,
        4.651466231804228,
        4.65148578242977,
        4.651505333055311,
        4.651524883680851,
        4.651544434306393,
        4.651563984931934,
        4.651583535557475,
        4.651603563027542,
        4.651623113653082,
        4.651642664278624,
        4.651662214904165,
        4.651681765529706,
        4.651701316155247,
        4.6517208667807886,
        4.651740417406329,
        4.651759968031871,
        4.651779518657412,
        4.651799069282952,
        4.651818619908494,
        4.651838170534035,
        4.651857721159576,
        4.651877271785117,
        4.6518968224106585,
        4.651916373036199,
        4.651935923661741,
        4.6519554742872815,
        4.651975024912822,
        4.651994575538364,
        4.6520141261639045,
        4.652033676789446,
        4.652053227414987,
        4.652072778040528,
        4.652092328666069,
        4.652111879291611,
        4.6521314299171515,
        4.652150980542693,
        4.652170531168234,
        4.6521900817937745,
        4.652209632419316,
        4.652229183044857,
        4.652248733670398,
        4.652268284295939,
        4.652287834921481,
        4.652307385547021,
        4.652326936172563,
        4.652346486798104,
        4.652366037423644,
        4.652385588049186,
        4.652404661830202,
        4.652424212455743,
        4.652443763081284,
        4.652463313706825,
        4.652482864332366,
        4.652502414957907,
        4.652521965583448,
        4.65254151620899,
        4.65256106683453,
        4.652580617460072,
        4.652600168085613,
        4.652619241866629,
        4.652638792492169,
        4.652658343117711,
        4.652677893743252,
        4.652697444368793,
        4.652716994994334,
        4.6527365456198755,
        4.652756096245416,
        4.652775646870958,
        4.652794720651973,
        4.6528142712775145,
        4.652833821903055,
        4.652853372528597,
        4.6528729231541375,
        4.652892473779678,
        4.652911547560694,
        4.652931098186236,
        4.6529506488117764,
        4.652970199437318,
        4.652989750062859,
        4.6530093006883995,
        4.653028374469415,
        4.653047925094957,
        4.653067475720498,
        4.653087026346039,
        4.65310657697158,
        4.653126127597121,
        4.653145201378137,
        4.653164752003678,
        4.653184302629219,
        4.653203853254761,
        4.653223403880301,
        4.653242477661317,
        4.653262028286858,
        4.6532815789124,
        4.65330112953794,
        4.653320203318956,
        4.653339753944497,
        4.6533593045700385,
        4.653378855195579,
        4.653397928976595,
        4.653417479602136,
        4.6534370302276775,
        4.653456580853218,
        4.65347613147876,
        4.653495205259775,
        4.6535147558853165,
        4.653534306510857,
        4.653553380291873,
        4.653572930917414,
        4.6535924815429555,
        4.653612032168496,
        4.653631105949512,
        4.653650656575054,
        4.653670207200594,
        4.65368928098161,
        4.653708831607151,
        4.653728382232693,
        4.653747932858233,
        4.653767006639249,
        4.65378655726479,
        4.653806107890332,
        4.653825181671347,
        4.653844732296888,
        4.653864282922429,
        4.653883356703445,
        4.653902907328987,
        4.653922457954527,
        4.653941531735543,
        4.653961082361084,
        4.653980632986626,
        4.653999706767641,
        4.654019257393182,
        4.654038808018723,
        4.654057881799739,
        4.65407743242528,
        4.654096983050821,
        4.654116056831837,
        4.654135607457378,
        4.6541551580829195,
        4.6541742318639345,
        4.654193782489476,
        4.654212856270491,
        4.654232406896033,
        4.6542519575215735,
        4.6542710313025895,
        4.654290581928131,
        4.654309655709146,
        4.654329206334688,
        4.654348756960228,
        4.654367830741244,
        4.654387381366785,
        4.654406455147801,
        4.654426005773343,
        4.654445556398883,
        4.654464630179899,
        4.65448418080544,
        4.654503254586456,
        4.654522805211997,
        4.654541878993013,
        4.654561429618554,
        4.654580980244095,
        4.654600054025111,
        4.654619604650652,
        4.654638678431668,
        4.654658229057208,
        4.654677302838224,
        4.654696853463766,
        4.654715927244781,
        4.6547354778703225,
        4.654754551651338,
        4.654774102276879,
        4.654793176057895,
        4.654812726683436,
        4.654831800464452,
        4.6548513510899925,
        4.654870424871008,
        4.654889975496549,
        4.654909526122091,
        4.654928599903107,
        4.654947673684122,
        4.654967224309663,
        4.654986298090679,
        4.65500584871622,
        4.655024922497236,
        4.655044473122777,
        4.655063546903793,
        4.655083097529333,
        4.655102171310349,
        4.655121721935891,
        4.655140795716906,
        4.655160346342448,
        4.655179420123463,
        4.655198970749004,
        4.65521804453002,
        4.655237118311035,
        4.655256668936577,
        4.655275742717593,
        4.6552952933431335,
        4.6553143671241495,
        4.65533391774969,
        4.655352991530706,
        4.655372542156247,
        4.655391615937263,
        4.655410689718279,
        4.6554302403438195,
        4.655449314124835,
        4.655468864750376,
        4.655487938531392,
        4.655507012312408,
        4.655526562937949,
        4.655545636718965,
        4.655565187344506,
        4.655584261125521,
        4.655603334906537,
        4.655622885532078,
        4.655641959313094,
        4.65566103309411,
        4.655680583719651,
        4.655699657500667,
        4.655719208126208,
        4.655738281907223,
        4.655757355688239,
        4.65577690631378,
        4.655795980094796,
        4.655815053875812,
        4.655834604501353,
        4.6558536782823685,
        4.6558727520633845,
        4.655892302688925,
        4.655911376469941,
        4.655930450250957,
        4.655950000876498,
        4.655969074657514,
        4.65598814843853,
        4.65600769906407,
        4.656026772845086,
        4.656045846626102,
        4.656064920407117,
        4.656084471032659,
        4.656103544813674,
        4.65612261859469,
        4.656142169220232,
        4.656161243001247,
        4.656180316782263,
        4.656199390563279,
        4.656218941188819,
        4.656238014969835,
        4.656257088750851,
        4.656276639376392,
        4.656295713157408,
        4.656314786938424,
        4.656333860719439,
        4.6563534113449805,
        4.656372485125996,
        4.6563915589070115,
        4.6564106326880275,
        4.656430183313568,
        4.656449257094584,
        4.6564683308756,
        4.656487404656616,
        4.656506478437631,
        4.656526029063173,
        4.656545102844189,
        4.656564176625204,
        4.65658325040622,
        4.656602801031761,
        4.656621874812776,
        4.656640948593792,
        4.656660022374808,
        4.656679096155823,
        4.656698646781365,
        4.656717720562381,
        4.656736794343396,
        4.656755868124412,
        4.656774941905428,
        4.656794015686444,
        4.6568135663119845,
        4.6568326400930005,
        4.6568517138740155,
        4.6568707876550315,
        4.656889861436047,
        4.656908935217063,
        4.656928485842604,
        4.65694755962362,
        4.656966633404636,
        4.656985707185651,
        4.657004780966667,
        4.657023854747683,
        4.657042928528698,
        4.65706247915424,
        4.657081552935256,
        4.657100626716271,
        4.657119700497287,
        4.657138774278303,
        4.6571578480593185,
        4.657176921840334,
        4.65719599562135,
        4.657215546246891,
        4.657234620027906,
        4.657253693808922,
        4.657272767589938,
        4.657291841370953,
        4.657310915151969,
        4.657329988932985,
        4.657349062714001,
        4.657368136495016,
        4.657387210276032,
        4.657406284057048,
        4.657425357838064,
        4.657444908463605,
        4.657463982244621,
        4.657483056025636,
        4.657502129806652,
        4.657521203587668,
        4.657540277368684,
        4.657559351149699,
        4.657578424930715,
        4.657597498711731,
        4.6576165724927465,
        4.657635646273762,
        4.6576547200547775,
        4.6576737938357935,
        4.6576928676168095,
        4.6577119413978245,
        4.6577310151788405,
        4.657750088959856,
        4.6577691627408715,
        4.6577882365218874,
        4.657807310302903,
        4.657826384083919,
        4.657845457864934,
        4.65786453164595,
        4.657883605426966,
        4.657902679207982,
        4.657921752988997,
        4.657940826770013,
        4.657959900551029,
        4.657978974332045,
        4.65799804811306,
        4.658017121894076,
        4.658036195675092,
        4.658055269456107,
        4.658074343237123,
        4.658093417018139,
        4.658112490799155,
        4.65813156458017,
        4.658150638361186,
        4.658169712142202,
        4.658188785923218,
        4.658207382859708,
        4.658226456640723,
        4.658245530421739,
        4.658264604202755,
        4.65828367798377,
        4.658302751764786,
        4.658321825545802,
        4.658340899326818,
        4.658359973107833,
        4.658379046888849,
        4.658398120669865,
        4.658417194450881,
        4.6584357913873715,
        4.658454865168387,
        4.6584739389494025,
        4.6584930127304185,
        4.6585120865114344,
        4.6585311602924495,
        4.6585502340734655,
        4.658569307854481,
        4.658587904790972,
        4.658606978571987,
        4.658626052353003,
        4.658645126134019,
        4.658664199915035,
        4.65868327369605,
        4.658702347477066,
        4.658720944413556,
        4.658740018194572,
        4.658759091975588,
        4.658778165756603,
        4.658797239537619,
        4.658816313318635,
        4.658835387099651,
        4.658853984036141,
        4.658873057817156,
        4.658892131598172,
        4.658911205379188,
        4.658930279160203,
        4.658948876096694,
        4.6589679498777095,
        4.658987023658725,
        4.659006097439741,
        4.659025171220756,
        4.659043768157247,
        4.659062841938263,
        4.659081915719279,
        4.659100989500295,
        4.65912006328131,
        4.6591386602178,
        4.659157733998816,
        4.659176807779832,
        4.659195881560848,
        4.659214478497338,
        4.659233552278353,
        4.659252626059369,
        4.659271699840385,
        4.6592902967768755,
        4.659309370557891,
        4.6593284443389065,
        4.659347518119922,
        4.659366115056413,
        4.659385188837429,
        4.659404262618444,
        4.65942333639946,
        4.65944193333595,
        4.659461007116966,
        4.659480080897982,
        4.659498677834472,
        4.659517751615487,
        4.659536825396503,
        4.659555899177519,
        4.6595744961140095,
        4.6595935698950255,
        4.6596126436760406,
        4.659631240612531,
        4.659650314393547,
        4.659669388174563,
        4.659687985111053,
        4.659707058892069,
        4.659726132673084,
        4.659744729609574,
        4.65976380339059,
        4.659782877171606,
        4.659801474108097,
        4.659820547889113,
        4.659839621670128,
        4.659858218606618,
        4.659877292387634,
        4.65989636616865,
        4.65991496310514,
        4.659934036886156,
        4.659953110667171,
        4.6599717076036615,
        4.6599907813846775,
        4.660009378321168,
        4.660028452102184,
        4.660047525883199,
        4.660066122819689,
        4.660085196600705,
        4.660104270381721,
        4.660122867318211,
        4.660141941099227,
        4.660160538035718,
        4.660179611816733,
        4.660198685597749,
        4.660217282534239,
        4.660236356315255,
        4.660254953251745,
        4.660274027032761,
        4.6602926239692515,
        4.6603116977502665,
        4.6603307715312825,
        4.660349368467773,
        4.660368442248789,
        4.660387039185279,
        4.660406112966295,
        4.660424709902785,
        4.6604437836838,
        4.660462857464816,
        4.660481454401307,
        4.660500528182323,
        4.660519125118813,
        4.660538198899829,
        4.660556795836319,
        4.660575869617334,
        4.660594466553825,
        4.6606135403348405,
        4.660632137271331,
        4.660651211052347,
        4.660669807988837,
        4.660688881769853,
        4.660707478706343,
        4.6607265524873585,
        4.660745149423849,
        4.660764223204865,
        4.660782820141355,
        4.660801893922371,
        4.660820490858861,
        4.660839564639877,
        4.660858161576368,
        4.660877235357383,
        4.660895832293873,
        4.660914906074889,
        4.660933503011379,
        4.660952576792395,
        4.6609711737288855,
        4.660990247509901,
        4.661008844446392,
        4.661027918227407,
        4.661046515163897,
        4.661065112100387,
        4.661084185881403,
        4.661102782817894,
        4.66112185659891,
        4.6611404535354,
        4.661159527316416,
        4.661178124252906,
        4.6611967211893965,
        4.661215794970412,
        4.661234391906902,
        4.661253465687918,
        4.661272062624408,
        4.661291136405424,
        4.6613097333419145,
        4.661328330278405,
        4.661347404059421,
        4.661366000995911,
        4.661385074776926,
        4.661403671713416,
        4.661422268649907,
        4.661441342430923,
        4.661459939367413,
        4.661478536303903,
        4.661497610084919,
        4.66151620702141,
        4.6615352808024255,
        4.661553877738916,
        4.661572474675406,
        4.661591548456421,
        4.6616101453929115,
        4.661628742329402,
        4.661647816110418,
        4.661666413046908,
        4.661685009983398,
        4.661704083764414,
        4.661722680700905,
        4.661741277637395,
        4.661760351418411,
        4.661778948354901,
        4.661797545291392,
        4.661816619072407,
        4.661835216008897,
        4.661853812945387,
        4.661872886726403,
        4.6618914836628935,
        4.661910080599384,
        4.6619291543804,
        4.66194775131689,
        4.66196634825338,
        4.661984945189871,
        4.662004018970887,
        4.662022615907377,
        4.662041212843867,
        4.662060286624882,
        4.662078883561373,
        4.662097480497863,
        4.662116077434353,
        4.662135151215369,
        4.66215374815186,
        4.66217234508835,
        4.66219094202484,
        4.662210015805856,
        4.6622286127423465,
        4.662247209678837,
        4.662265806615327,
        4.662284880396343,
        4.662303477332833,
        4.662322074269324,
        4.662340671205814,
        4.662359744986829,
        4.662378341923319,
        4.66239693885981,
        4.6624155357963,
        4.662434132732791,
        4.662453206513806,
        4.6624718034502965,
        4.662490400386787,
        4.662508997323277,
        4.6625275942597675,
        4.662546668040783,
        4.662565264977274,
        4.662583861913764,
        4.662602458850254,
        4.662621055786745,
        4.662640129567761,
        4.662658726504251,
        4.662677323440741,
        4.662695920377232,
        4.662714517313722,
        4.662733114250212,
        4.662752188031228,
        4.6627707849677185,
        4.662789381904209,
        4.662807978840699,
        4.662826575777189,
        4.66284517271368,
        4.66286376965017,
        4.662882843431185,
        4.662901440367675,
        4.662920037304166,
        4.662938634240656,
        4.662957231177146,
        4.662975828113637,
        4.662994425050127,
        4.663013498831143,
        4.663032095767633,
        4.6630506927041235,
        4.663069289640614,
        4.663087886577104,
        4.6631064835135945,
        4.663125080450085,
        4.663143677386575,
        4.663162274323065,
        4.663180871259556,
        4.663199468196046,
        4.663218541977062,
        4.663237138913552,
        4.663255735850043,
        4.663274332786533,
        4.663292929723023,
        4.6633115266595135,
        4.663330123596004,
        4.663348720532494,
        4.6633673174689845,
        4.663385914405475,
        4.663404511341965,
        4.663423108278455,
        4.663441705214946,
        4.663460302151436,
        4.663478899087926,
        4.663497496024417,
        4.663516092960907,
        4.663534689897397,
        4.663553286833888,
        4.663571883770378,
        4.663590957551394,
        4.663609554487884,
        4.6636281514243745,
        4.663646748360865,
        4.663665345297355,
        4.663683942233845,
        4.663702539170336,
        4.663721136106826,
        4.663739733043316,
        4.663758329979807,
        4.663776926916297,
        4.663795523852787,
        4.663813643944753,
        4.663832240881243,
        4.6638508378177335,
        4.663869434754224,
        4.663888031690714,
        4.663906628627204,
        4.663925225563695,
        4.663943822500185,
        4.663962419436675,
        4.663981016373166,
        4.663999613309656,
        4.664018210246146,
        4.664036807182637,
        4.664055404119127,
        4.664074001055617,
        4.6640925979921075,
        4.664111194928598,
        4.664129791865088,
        4.6641483888015784,
        4.664166508893543,
        4.664185105830033,
        4.664203702766524,
        4.664222299703014,
        4.664240896639504,
        4.664259493575995,
        4.664278090512485,
        4.664296687448975,
        4.664315284385466,
        4.664333881321956,
        4.664352478258446,
        4.664370598350411,
        4.664389195286901,
        4.664407792223392,
        4.664426389159883,
        4.664444986096373,
        4.664463583032863,
        4.664482179969354,
        4.664500776905844,
        4.664518896997809,
        4.664537493934299,
        4.664556090870789,
        4.66457468780728,
        4.66459328474377,
        4.66461188168026,
        4.664630001772225,
        4.664648598708715,
        4.6646671956452055,
        4.664685792581696,
        4.664704389518186,
        4.664722986454676,
        4.664741106546642,
        4.664759703483132,
        4.664778300419623,
        4.664796897356113,
        4.664815494292603,
        4.6648340912290935,
        4.664852211321058,
        4.6648708082575485,
        4.664889405194039,
        4.664908002130529,
        4.6649265990670195,
        4.664944719158984,
        4.664963316095474,
        4.664981913031965,
        4.665000509968455,
        4.665018630060421,
        4.665037226996911,
        4.665055823933401,
        4.6650744208698915,
        4.665092540961856,
        4.6651111378983465,
        4.665129734834837,
        4.665148331771327,
        4.6651669287078175,
        4.665185048799782,
        4.665203645736272,
        4.665222242672763,
        4.665240362764728,
        4.665258959701219,
        4.665277556637709,
        4.665296153574199,
        4.665314273666164,
        4.665332870602654,
        4.6653514675391445,
        4.665370064475635,
        4.6653881845675995,
        4.66540678150409,
        4.66542537844058,
        4.665443498532546,
        4.665462095469036,
        4.665480692405526,
        4.665498812497491,
        4.665517409433981,
        4.665536006370472,
        4.665554603306962,
        4.665572723398927,
        4.665591320335417,
        4.665609917271907,
        4.665628037363873,
        4.665646634300363,
        4.665665231236853,
        4.665683351328818,
        4.665701948265308,
        4.665720545201799,
        4.665738665293763,
        4.665757262230254,
        4.665775859166744,
        4.6657939792587095,
        4.6658125761952,
        4.6658306962871645,
        4.665849293223655,
        4.665867890160145,
        4.66588601025211,
        4.6659046071886,
        4.66592320412509,
        4.665941324217056,
        4.665959921153546,
        4.665978041245511,
        4.665996638182001,
        4.666015235118492,
        4.666033355210456,
        4.666051952146947,
        4.666070072238911,
        4.6660886691754015,
        4.666107266111893,
        4.666125386203857,
        4.666143983140348,
        4.666162103232312,
        4.666180700168803,
        4.666199297105293,
        4.666217417197258,
        4.666236014133748,
        4.666254134225714,
        4.666272731162204,
        4.6662908512541685,
        4.666309448190659,
        4.666328045127149,
        4.666346165219114,
        4.666364762155604,
        4.66638288224757,
        4.66640147918406,
        4.666419599276025,
        4.666438196212515,
        4.66645631630448,
        4.66647491324097,
        4.6664930333329355,
        4.666511630269426,
        4.6665297503613905,
        4.666548347297881,
        4.6665664673898455,
        4.666585064326336,
        4.666603184418301,
        4.666621781354792,
        4.666639901446756,
        4.666658498383247,
        4.666676618475211,
        4.666695215411702,
        4.666713335503666,
        4.666731932440157,
        4.666750052532122,
        4.6667686494686125,
        4.666786769560577,
        4.6668053664970675,
        4.666823486589032,
        4.666842083525522,
        4.666860203617488,
        4.666878800553978,
        4.666896920645943,
        4.666915517582433,
        4.666933637674398,
        4.666952234610888,
        4.666970354702854,
        4.6669884747948185,
        4.667007071731309,
        4.6670251918232735,
        4.667043788759764,
        4.667061908851729,
        4.66708050578822,
        4.667098625880184,
        4.667116745972149,
        4.667135342908639,
        4.667153463000604,
        4.667172059937094,
        4.66719018002906,
        4.6672083001210245,
        4.667226897057515,
        4.6672450171494795,
        4.66726361408597,
        4.667281734177935,
        4.6672998542699,
        4.66731845120639,
        4.667336571298355,
        4.667355168234845,
        4.667373288326811,
        4.6673914084187755,
        4.667410005355266,
        4.6674281254472305,
        4.667446245539195,
        4.6674648424756855,
        4.667482962567651,
        4.667501559504141,
        4.667519679596106,
        4.667537799688071,
        4.667556396624561,
        4.667574516716527,
        4.667592636808491,
        4.6676112337449815,
        4.667629353836946,
        4.667647473928912,
        4.667666070865402,
        4.667684190957367,
        4.667702311049331,
        4.667720907985822,
        4.667739028077786,
        4.667757148169752,
        4.667775745106242,
        4.667793865198207,
        4.667811985290172,
        4.667830105382137,
        4.6678487023186275,
        4.667866822410592,
        4.667884942502557,
        4.667903539439047,
        4.667921659531013,
        4.667939779622977,
        4.667957899714942,
        4.667976496651432,
        4.667994616743398,
        4.6680127368353626,
        4.668031333771853,
        4.6680494538638175,
        4.668067573955782,
        4.668085694047748,
        4.668104290984238,
        4.668122411076203,
        4.668140531168167,
        4.668158651260133,
        4.668177248196623,
        4.668195368288588,
        4.668213488380553,
        4.668231608472517,
        4.668249728564483,
        4.668268325500973,
        4.668286445592938,
        4.6683045656849025,
        4.668322685776868,
        4.668341282713358,
        4.668359402805323,
        4.668377522897288,
        4.668395642989253,
        4.668413763081218,
        4.668432360017708,
        4.668450480109673,
        4.668468600201638,
        4.668486720293603,
        4.668504840385568,
        4.668523437322058,
        4.668541557414023,
        4.668559677505988,
        4.668577797597953,
        4.668595917689918,
        4.668614037781883,
        4.6686326347183735,
        4.668650754810338,
        4.668668874902303,
        4.6686869949942675,
        4.668705115086233,
        4.668723235178198,
        4.668741832114688,
        4.668759952206653,
        4.668778072298618,
        4.668796192390583,
        4.668814312482548,
        4.668832432574513,
        4.668850552666478,
        4.668869149602968,
        4.668887269694933,
        4.6689053897868975,
        4.668923509878863,
        4.668941629970828,
        4.668959750062792,
        4.668977870154758,
        4.668995990246723,
        4.669014110338687,
        4.669032230430653,
        4.669050827367143,
        4.669068947459108,
        4.6690870675510725,
        4.669105187643037,
        4.669123307735003,
        4.669141427826967,
        4.669159547918932,
        4.669177668010898,
        4.669195788102862,
        4.669213908194827,
        4.669232028286792,
        4.669250148378757,
        4.6692687453152475,
        4.669286865407212,
        4.669304985499177,
        4.669323105591142,
        4.669341225683107,
        4.669359345775072,
        4.669377465867037,
        4.669395585959002,
        4.669413706050967,
        4.669431826142931,
        4.669449946234897,
        4.6694680663268615,
        4.669486186418826,
        4.669504306510792,
        4.669522426602756,
        4.669540546694721,
        4.669558666786686,
        4.669576786878651,
        4.669594906970616,
        4.669613027062581,
        4.669631147154546,
        4.669649267246511,
        4.6696673873384755,
        4.669685507430441,
        4.669703627522406,
        4.66972174761437,
        4.669739867706335,
        4.669757987798301,
        4.669776107890265,
        4.66979422798223,
        4.6698123480741955,
        4.66983046816616,
        4.669848588258125,
        4.66986670835009,
        4.669884828442055,
        4.66990294853402,
        4.669921068625984,
        4.66993918871795,
        4.669956831965389,
        4.669974952057355,
        4.669993072149319,
        4.670011192241284,
        4.670029312333249,
        4.670047432425214,
        4.670065552517179,
        4.6700836726091435,
        4.670101792701109,
        4.670119912793074,
        4.670138032885038,
        4.670156152977004,
        4.670174273068969,
        4.670191916316408,
        4.670210036408373,
        4.670228156500338,
        4.6702462765923025,
        4.670264396684268,
        4.670282516776233,
        4.670300636868197,
        4.670318756960162,
        4.670336877052128,
        4.670354520299567,
        4.670372640391532,
        4.670390760483497,
        4.6704088805754616,
        4.670427000667427,
        4.670445120759392,
        4.6704632408513564,
        4.670481360943321,
        4.670499004190761,
        4.670517124282726,
        4.670535244374691,
        4.670553364466656,
        4.670571484558621,
        4.670589604650585,
        4.670607247898025,
        4.67062536798999,
        4.670643488081955,
        4.67066160817392,
        4.670679728265885,
        4.670697848357849,
        4.670715491605289,
        4.670733611697254,
        4.6707517317892195,
        4.670769851881184,
        4.670787971973149,
        4.670805615220589,
        4.6708237353125535,
        4.670841855404518,
        4.670859975496484,
        4.670878095588448,
        4.670895738835888,
        4.670913858927853,
        4.670931979019818,
        4.670950099111782,
        4.670967742359222,
        4.670985862451187,
        4.671003982543152,
        4.671022102635117,
        4.671040222727082,
        4.671057865974522,
        4.671075986066486,
        4.671094106158451,
        4.6711122262504166,
        4.671129869497856,
        4.671147989589821,
        4.671166109681786,
        4.6711842297737505,
        4.67120187302119,
        4.671219993113155,
        4.67123811320512,
        4.67125575645256,
        4.671273876544524,
        4.671291996636489,
        4.6713101167284545,
        4.671327759975894,
        4.671345880067859,
        4.671364000159824,
        4.671381643407264,
        4.671399763499228,
        4.671417883591193,
        4.671436003683158,
        4.671453646930598,
        4.671471767022562,
        4.671489887114528,
        4.671507530361967,
        4.6715256504539315,
        4.671543770545897,
        4.671561413793336,
        4.671579533885302,
        4.671597653977266,
        4.671615297224705,
        4.671633417316671,
        4.671651537408636,
        4.6716691806560755,
        4.67168730074804,
        4.671705420840005,
        4.671723064087445,
        4.671741184179409,
        4.671759304271374,
        4.671776947518814,
        4.671795067610779,
        4.671812710858219,
        4.671830830950183,
        4.671848951042148,
        4.671866594289588,
        4.6718847143815525,
        4.671902834473518,
        4.671920477720957,
        4.671938597812922,
        4.671956241060362,
        4.671974361152326,
        4.671992481244292,
        4.672010124491731,
        4.6720282445836965,
        4.6720458878311355,
        4.6720640079231,
        4.672082128015066,
        4.672099771262505,
        4.67211789135447,
        4.672135534601909,
        4.672153654693874,
        4.67217177478584,
        4.672189418033279,
        4.672207538125244,
        4.672225181372683,
        4.672243301464648,
        4.672260944712088,
        4.672279064804052,
        4.672296708051492,
        4.672314828143457,
        4.672332948235423,
        4.672350591482862,
        4.672368711574826,
        4.672386354822266,
        4.672404474914231,
        4.672422118161671,
        4.672440238253635,
        4.672457881501075,
        4.67247600159304,
        4.67249364484048,
        4.672511764932445,
        4.672529408179884,
        4.672547528271849,
        4.672565171519288,
        4.672583291611254,
        4.672600934858693,
        4.672619054950657,
        4.672636698198097,
        4.672654818290062,
        4.672672461537502,
        4.672690581629467,
        4.6727082248769065,
        4.672726344968871,
        4.672743988216311,
        4.672762108308276,
        4.672779751555716,
        4.67279787164768,
        4.672815514895119,
        4.672833634987085,
        4.672851278234524,
        4.6728693983264895,
        4.6728870415739285,
        4.6729046848213684,
        4.672922804913333,
        4.672940448160773,
        4.672958568252738,
        4.672976211500177,
        4.672994331592142,
        4.673011974839581,
        4.673029618087021,
        4.673047738178986,
        4.673065381426426,
        4.6730835015183905,
        4.67310114476583,
        4.673119264857795,
        4.673136908105235,
        4.673154551352674,
        4.673172671444639,
        4.673190314692079,
        4.673208434784043,
        4.673226078031483,
        4.673243721278922,
        4.673261841370888,
        4.673279484618327,
        4.673297604710292,
        4.673315247957731,
        4.673332891205171,
        4.673351011297136,
        4.673368654544576,
        4.673386297792015,
        4.67340441788398,
        4.6734220611314194,
        4.673440181223384,
        4.673457824470824,
        4.673475467718264,
        4.673493587810229,
        4.673511231057668,
        4.6735288743051075,
        4.673546994397072,
        4.673564637644512,
        4.673582280891951,
        4.673600400983917,
        4.673618044231356,
        4.673635687478796,
        4.67365380757076,
        4.6736714508182,
        4.673689094065639,
        4.673707214157605,
        4.673724857405044,
        4.673742500652484,
        4.673760620744448,
        4.673778263991888,
        4.673795907239327,
        4.673813550486767,
        4.673831670578732,
        4.673849313826172,
        4.673866957073611,
        4.673885077165576,
        4.6739027204130155,
        4.673920363660455,
        4.673938006907894,
        4.67395612699986,
        4.673973770247299,
        4.673991413494739,
        4.674009533586704,
        4.6740271768341435,
        4.6740448200815825,
        4.674062463329022,
        4.674080583420987,
        4.674098226668427,
        4.674115869915866,
        4.674133513163306,
        4.674151633255271,
        4.6741692765027105,
        4.6741869197501495,
        4.6742045629975895,
        4.674222683089554,
        4.674240326336994,
        4.674257969584433,
        4.674275612831873,
        4.674293256079312,
        4.674311376171278,
        4.674329019418717,
        4.6743466626661565,
        4.6743643059135955,
        4.674381949161035,
        4.674400069253,
        4.6744887623347235,
        4.674506405582163,
        4.6745240488296025,
        4.674541692077042,
        4.674559335324481,
        4.674577455416447,
        4.674595098663886,
        4.674612741911326,
        4.674630385158765,
        4.674648028406205,
        4.674665671653644,
        4.674683791745609,
        4.6747014349930485,
        4.674719078240488,
        4.674736721487927,
        4.674754364735367,
        4.674772007982807,
        4.674789651230246,
        4.674807771322211,
        4.674825414569651,
        4.674843057817091,
        4.67486070106453,
        4.67487834431197,
        4.674895987559409,
        4.674913630806849,
        4.674931274054288,
        4.674948917301728,
        4.674967037393692,
        4.674984680641132,
        4.675002323888572,
        4.675019967136011,
        4.675037610383451,
        4.67505525363089,
        4.67507289687833,
        4.675090540125769,
        4.675108183373209,
        4.675125826620649,
        4.675143469868088,
        4.6751615899600525,
        4.675179233207492,
        4.675196876454932,
        4.675214519702371,
        4.675232162949811,
        4.67524980619725,
        4.67526744944469,
        4.675285092692129,
        4.675302735939569,
        4.675320379187009,
        4.675338022434448,
        4.675355665681888,
        4.675373308929327,
        4.675390952176767,
        4.675408595424207,
        4.675426238671646,
        4.675443881919086,
        4.675461525166525,
        4.675479168413965,
        4.675496811661404,
        4.675514454908844,
        4.675532098156284,
        4.675549741403723,
        4.6755673846511625,
        4.675585504743127,
        4.675603147990567,
        4.675620791238006,
        4.675638434485446,
        4.67565560088836,
        4.675673244135799,
        4.675690887383239,
        4.675708530630678,
        4.675726173878118,
        4.675743817125557,
        4.675761460372997,
        4.675779103620437,
        4.675796746867876,
        4.675814390115316,
        4.675832033362755,
        4.675849676610195,
        4.675867319857634,
        4.675884963105074,
        4.675902606352514,
        4.675920249599953,
        4.675937892847393,
        4.675955536094832,
        4.675973179342272,
        4.6759908225897115,
        4.676008465837151,
        4.6760261090845905,
        4.6760437523320295,
        4.676061395579469,
        4.676078561982384,
        4.676096205229823,
        4.676113848477263,
        4.676131491724702,
        4.676149134972142,
        4.6761667782195815,
        4.6761844214670205,
        4.67620206471446,
        4.6762197079618995,
        4.676237351209339,
        4.676254994456778,
        4.676272160859693,
        4.676289804107133,
        4.676307447354572,
        4.6763250906020115,
        4.676342733849451,
        4.6763603770968905,
        4.67637802034433,
        4.676395663591769,
        4.676412829994684,
        4.676430473242124,
        4.676448116489563,
        4.6764657597370025,
        4.676483402984442,
        4.6765010462318815,
        4.676518689479321,
        4.676535855882236,
        4.676553499129675,
        4.676571142377115,
        4.676588785624554,
        4.6766064288719935,
        4.6766240721194325,
        4.676641238522347,
        4.676658881769787,
        4.676676525017226,
        4.676694168264666,
        4.676711811512106,
        4.676729454759545,
        4.676746621162459,
        4.676764264409899,
        4.676781907657338,
        4.676799550904778,
        4.676817194152217,
        4.676834360555131,
        4.676852003802571,
        4.67686964705001,
        4.67688729029745,
        4.67690493354489,
        4.676922099947803,
        4.676939743195243,
        4.676957386442683,
        4.676975029690122,
        4.676992196093036,
        4.677009839340476,
        4.677027482587915,
        4.677045125835355,
        4.677062769082794,
        4.677079935485708,
        4.677097578733148,
        4.677115221980587,
        4.677132865228027,
        4.677150031630942,
        4.677167674878381,
        4.6771853181258205,
        4.678855466076009,
        4.680630519821785,
        4.680651500980901,
        4.680672482140019,
        4.680693463299136,
        4.680713967613728,
        4.680734948772845,
        4.680755929931962,
        4.680776434246554,
        4.680797415405672,
        4.680818396564789,
        4.680839377723906,
        4.680859882038498,
        4.680880863197616,
        4.6809018443567325,
        4.6809223486713245,
        4.680943329830442,
        4.680964310989559,
        4.680984815304151,
        4.6810057964632685,
        4.681026777622385,
        4.681047281936977,
        4.681068263096095,
        4.6810892442552126,
        4.681109748569804,
        4.681130729728921,
        4.681151710888039,
        4.68117221520263,
        4.681193196361748,
        4.681214177520865,
        4.681234681835457,
        4.681255662994574,
        4.681276167309166,
        4.681297148468284,
        4.6813181296274005,
        4.681505052681355,
        4.681526033840472,
        4.681546538155064,
        4.681567519314181,
        4.681588023628773,
        4.68160900478789,
        4.681629509102482,
        4.6816504902616,
        4.681671471420717,
        4.681691975735308,
        4.681712956894426,
        4.681733461209018,
        4.681754442368136,
        4.681774946682727,
        4.681795927841844,
        4.681816432156436,
        4.681837413315554,
        4.681857917630145,
        4.681878898789263,
        4.681899403103855,
        4.6819203842629715,
        4.6819408885775635,
        4.681961869736681,
        4.681982374051273,
        4.68200335521039,
        4.682023859524982,
        4.6820448406840995,
        4.6820653449986915,
        4.682086326157808,
        4.6821068304724,
        4.682127811631518,
        4.68214831594611,
        4.682169297105227,
        4.682189801419819,
        4.682210782578936,
        4.682231286893528,
        4.682252268052645,
        4.682272772367237,
        4.682293753526355,
        4.682314257840947,
        4.682334762155539,
        4.682355743314655,
        4.682376247629247,
        4.682397228788365,
        4.682417733102957,
        4.682438714262074,
        4.682459218576666,
        4.682479722891258,
        4.682500704050375,
        4.682521208364967,
        4.682542189524084,
        4.682562693838676,
        4.682583198153268,
        4.682604179312386,
        4.682624683626977,
        4.682645664786095,
        4.682666169100687,
        4.6826866734152786,
        4.682728158888987,
        4.682748663203579,
        4.682769644362697,
        4.682790148677289,
        4.682810652991881,
        4.682831634150998,
        4.68285213846559,
        4.682873119624707,
        4.682893623939299,
        4.68291412825389,
        4.682935109413008,
        4.6829556137276,
        4.682976118042192,
        4.682997099201309,
        4.683017603515901,
        4.683038107830493,
        4.683058612145085,
        4.683079593304202,
        4.683100097618794,
        4.6831206019333855,
        4.683141583092503,
        4.683162087407095,
        4.683182591721687,
        4.683203572880804,
        4.683224077195396,
        4.683244581509988,
        4.68326508582458,
        4.6832860669836975,
        4.6833065712982895,
        4.683327075612881,
        4.683347579927473,
        4.68336856108659,
        4.683389065401182,
        4.683409569715774,
        4.683430074030366,
        4.683451055189483,
        4.683471559504075,
        4.683492063818667,
        4.683512568133259,
        4.683533549292376,
        4.683554053606968,
        4.68357455792156,
        4.683595062236152,
        4.683616043395269,
        4.683636547709861,
        4.683657052024453,
        4.6836775563390445,
        4.6836980606536365,
        4.683719041812754,
        4.683739546127346,
        4.683760050441938,
        4.68378055475653,
        4.683801059071121,
        4.683821563385713,
        4.683842544544831,
        4.683863048859423,
        4.683883553174015,
        4.683904057488607,
        4.683924561803198,
        4.68394506611779,
        4.683966047276908,
        4.6839865515915,
        4.684007055906092,
        4.684027560220684,
        4.684048064535276,
        4.684068568849867,
        4.684089073164459,
        4.684110054323576,
        4.684130558638168,
        4.68415106295276,
        4.684171567267352,
        4.684192071581943,
        4.684212575896535,
        4.684233080211127,
        4.684253584525719,
        4.684274088840311,
        4.684295069999429,
        4.68431557431402,
        4.684336078628612,
        4.684356582943204,
        4.684377087257796,
        4.684397591572388,
        4.68441809588698,
        4.684438600201572,
        4.684459104516164,
        4.684479608830756,
        4.684500113145347,
        4.684520617459939,
        4.684541121774531,
        4.684561626089123,
        4.684582607248241,
        4.684603111562833,
        4.684623615877424,
        4.684644120192016,
        4.684664624506608,
        4.6846851288212,
        4.684705633135792,
        4.684726137450384,
        4.684746641764976,
        4.684767146079568,
        4.68478765039416,
        4.684808154708751,
        4.684828659023343,
        4.684849163337935,
        4.684869667652527,
        4.684890171967119,
        4.684910676281711,
        4.684931180596303,
        4.684951684910895,
        4.684972189225487,
        4.684992693540078,
        4.68501319785467,
        4.685033702169262,
        4.685054206483854,
        4.685074710798446,
        4.685094738268512,
        4.685115242583104,
        4.685135746897696,
        4.685156251212288,
        4.68517675552688,
        4.685197259841472,
        4.6852177641560635,
        4.6852382684706555,
        4.6852587727852475,
        4.6852792770998395,
        4.6852997814144315,
        4.6853202857290235,
        4.6853407900436155,
        4.6853612943582075,
        4.685381321828274,
        4.685401826142866,
        4.685422330457458,
        4.68544283477205,
        4.685463339086641,
        4.685483843401233,
        4.685504347715825,
        4.685524852030417,
        4.685545356345009,
        4.685565383815075,
        4.685585888129667,
        4.685606392444259,
        4.685626896758851,
        4.685647401073443,
        4.685667905388035,
        4.685688409702626,
        4.685708437172694,
        4.685728941487285,
        4.685749445801877,
        4.685769950116469,
        4.685790454431061,
        4.685810958745653,
        4.685830986215719,
        4.685851490530311,
        4.685871994844903,
        4.685892499159495,
        4.685913003474087,
        4.685933507788679,
        4.685953535258745,
        4.685974039573337,
        4.685994543887929,
        4.6860150482025205,
        4.6860355525171125,
        4.68605557998718,
        4.686076084301771,
        4.686096588616363,
        4.686117092930955,
        4.686137120401021,
        4.686157624715613,
        4.686178129030205,
        4.686198633344797,
        4.686219137659389,
        4.6862391651294555,
        4.6862596694440475,
        4.6862801737586395,
        4.6863006780732315,
        4.686320705543298,
        4.68634120985789,
        4.686361714172482,
        4.686381741642548,
        4.68640224595714,
        4.686422750271732,
        4.686443254586323,
        4.6864632820563905,
        4.6864837863709825,
        4.686504290685574,
        4.686524318155641,
        4.686544822470232,
        4.686565326784824,
        4.686585831099416,
        4.686605858569482,
        4.686626362884074,
        4.686646867198666,
        4.686666894668733,
        4.686687398983325,
        4.686707903297917,
        4.686727930767983,
        4.686748435082575,
        4.686768939397167,
        4.686788966867233,
        4.686809471181825,
        4.686829975496417,
        4.686850002966484,
        4.686870507281076,
        4.686891011595668,
        4.686911039065734,
        4.686931543380326,
        4.686951570850392,
        4.686972075164984,
        4.686992579479576,
        4.687012606949643,
        4.687033111264235,
        4.687053615578827,
        4.687073643048893,
        4.687094147363485,
        4.687114174833551,
        4.687134679148143,
        4.687155183462735,
        4.687175210932802,
        4.687195715247394,
        4.68721574271746,
        4.687236247032052,
        4.687256751346644,
        4.6872767788167105,
        4.6872972831313024,
        4.687317310601369,
        4.687337814915961,
        4.687357842386027,
        4.687378346700619,
        4.6873983741706855,
        4.6874188784852775,
        4.6874393827998695,
        4.687459410269936,
        4.687479914584528,
        4.687499942054594,
        4.687520446369186,
        4.6875404738392525,
        4.6875609781538445,
        4.687581005623911,
        4.687601509938503,
        4.687621537408569,
        4.687642041723161,
        4.687662069193228,
        4.68768257350782,
        4.687702600977886,
        4.687723105292478,
        4.687743132762545,
        4.687763637077136,
        4.6877836645472035,
        4.687804168861795,
        4.687824196331862,
        4.687844700646454,
        4.68786472811652,
        4.687885232431112,
        4.687905259901179,
        4.687925764215771,
        4.687945791685837,
        4.687966296000429,
        4.687986323470495,
        4.688006350940562,
        4.688026855255154,
        4.68804688272522,
        4.688067387039812,
        4.688087414509878,
        4.68810791882447,
        4.688127946294537,
        4.688147973764603,
        4.688168478079195,
        4.688188505549261,
        4.688209009863853,
        4.68822903733392,
        4.688249064803987,
        4.688269569118579,
        4.688289596588645,
        4.688310100903237,
        4.688330128373304,
        4.68835015584337,
        4.688370660157962,
        4.688390687628028,
        4.68841119194262,
        4.688431219412687,
        4.688451246882753,
        4.688471751197345,
        4.688491778667411,
        4.688511806137478,
        4.68853231045207,
        4.688552337922136,
        4.688572365392203,
        4.688592869706795,
        4.688612897176862,
        4.688633401491454,
        4.68865342896152,
        4.688673456431586,
        4.688693960746178,
        4.688713988216245,
        4.688734015686311,
        4.6887540431563774,
        4.6887745474709694,
        4.688794574941036,
        4.688814602411103,
        4.688835106725694,
        4.688855134195761,
        4.688875161665828,
        4.68889566598042,
        4.688915693450486,
        4.688935720920552,
        4.688955748390619,
        4.688976252705211,
        4.688996280175277,
        4.6890163076453435,
        4.6890368119599355,
        4.689056839430002,
        4.689076866900069,
        4.689096894370135,
        4.689117398684727,
        4.689137426154794,
        4.68915745362486,
        4.6891774810949265,
        4.6891979854095185,
        4.689218012879585,
        4.689238040349651,
        4.689258067819718,
        4.689278095289785,
        4.689298599604377,
        4.689318627074443,
        4.6893386545445095,
        4.689358682014576,
        4.689379186329168,
        4.689399213799234,
        4.6894192412693005,
        4.689439268739368,
        4.689459296209434,
        4.689479800524026,
        4.6894998279940925,
        4.689519855464159,
        4.689539882934225,
        4.6895599104042915,
        4.689579937874358,
        4.68960044218895,
        4.689620469659016,
        4.6896404971290835,
        4.68966052459915,
        4.689680552069216,
        4.6897005795392825,
        4.6897210838538745,
        4.689741111323941,
        4.689761138794007,
        4.6897811662640745,
        4.689801193734141,
        4.689821221204207,
        4.6898412486742735,
        4.6898617529888655,
        4.689881780458932,
        4.689901807928998,
        4.689921835399065,
        4.689941862869132,
        4.689961890339198,
        4.6899819178092645,
        4.690001945279331,
        4.690021972749397,
        4.690042000219464,
        4.690062504534056,
        4.690082532004122,
        4.690102559474189,
        4.6901225869442555,
        4.690142614414322,
        4.690162641884388,
        4.690182669354455,
        4.690202696824522,
        4.690222724294588,
        4.6902427517646545,
        4.690262779234721,
        4.690282806704787,
        4.690302834174854,
        4.690322861644921,
        4.690342889114987,
        4.6903629165850536,
        4.6903834208996456,
        4.690403448369712,
        4.690423475839778,
        4.690443503309845,
        4.690463530779911,
        4.690483558249978,
        4.6905035857200446,
        4.690523613190111,
        4.690543640660177,
        4.690563668130244,
        4.69058369560031,
        4.690603723070377,
        4.690623750540444,
        4.69064377801051,
        4.690663805480576,
        4.690683832950643,
        4.690703860420709,
        4.690723887890776,
        4.690743915360843,
        4.690763942830909,
        4.69078349345645,
        4.690803520926517,
        4.690823548396583,
        4.69084357586665,
        4.690863603336716,
        4.690883630806782,
        4.690903658276849,
        4.690923685746916,
        4.690943713216982,
        4.690963740687049,
        4.690983768157115,
        4.691003795627181,
        4.691023823097248,
        4.691043850567315,
        4.691063878037381,
        4.691083905507448,
        4.691103456132988,
        4.6911234836030555,
        4.691143511073122,
        4.691163538543188,
        4.691183566013255,
        4.691203593483321,
        4.691223620953387,
        4.6912436484234545,
        4.691263675893521,
        4.6913433089292615,
        4.691363336399328,
        4.691383363869394,
        4.691403391339461,
        4.691422941965002,
        4.6914429694350686,
        4.691462996905135,
        4.691483024375201,
        4.691503051845268,
        4.691523079315334,
        4.691543106785401,
        4.691562657410942,
        4.691582684881008,
        4.691602712351075,
        4.691622739821142,
        4.691642767291208,
        4.691662317916749,
        4.691682345386815,
        4.6917023728568825,
        4.691722400326949,
        4.691742427797015,
        4.691761978422556,
        4.691782005892622,
        4.6918020333626895,
        4.691822060832756,
        4.691842088302822,
        4.691861638928363,
        4.69188166639843,
        4.6919016938684965,
        4.691921721338563,
        4.691941271964104,
        4.691961299434171,
        4.691981326904237,
        4.6920013543743035,
        4.692020904999844,
        4.6920409324699115,
        4.692060959939978,
        4.692080987410044,
        4.692100538035585,
        4.692120565505651,
        4.6921405929757185,
        4.692160620445785,
        4.692180171071326,
        4.692200198541392,
        4.692220226011459,
        4.6922402534815255,
        4.692259804107066,
        4.692279831577133,
        4.6922998590472,
        4.6923194096727405,
        4.692339437142807,
        4.692359464612873,
        4.692379015238415,
        4.692399042708481,
        4.6924190701785475,
        4.692438620804089,
        4.6924586482741555,
        4.692478675744222,
        4.6924982263697625,
        4.69251825383983,
        4.692538281309896,
        4.692557831935437,
        4.692577859405503,
        4.69259788687557,
        4.692617437501111,
        4.6926374649711775,
        4.692657492441244,
        4.6926770430667855,
        4.692697070536852,
        4.692717098006918,
        4.69273664863246,
        4.692756676102526,
        4.692776226728067,
        4.692796254198133,
        4.6928162816681995,
        4.692835832293741,
        4.6928558597638075,
        4.692875410389349,
        4.692895437859415,
        4.692915465329482,
        4.6929350159550225,
        4.692955043425089,
        4.69297459405063,
        4.692994621520697,
        4.693014648990763,
        4.693034199616305,
        4.693054227086371,
        4.693073777711912,
        4.693093805181979,
        4.69311335580752,
        4.693133383277586,
        4.6931534107476525,
        4.693172961373194,
        4.69319298884326,
        4.693212539468801,
        4.693232566938868,
        4.693252117564409,
        4.693272145034475,
        4.693291695660017,
        4.693311723130083,
        4.693331273755624,
        4.69335130122569,
        4.693370851851232,
        4.693390879321298,
        4.693410429946839,
        4.693430457416906,
        4.693450008042447,
        4.693470035512513,
        4.693489586138055,
        4.693509613608121,
        4.693529164233662,
        4.693549191703728,
        4.69356874232927,
        4.693588769799336,
        4.693608320424878,
        4.693628347894944,
        4.693647898520485,
        4.693667925990551,
        4.693687476616093,
        4.693707504086159,
        4.6937270547117,
        4.693747082181767,
        4.693766632807308,
        4.693786183432849,
        4.693806210902916,
        4.693825761528457,
        4.693845788998523,
        4.693865339624065,
        4.693885367094131,
        4.693904917719672,
        4.693924468345213,
        4.69394449581528,
        4.69396404644082,
        4.693984073910888,
        4.694003624536428,
        4.694023652006495,
        4.694043202632036,
        4.694062753257577,
        4.694082780727643,
        4.694102331353185,
        4.694121881978726,
        4.694141909448792,
        4.6941614600743335,
        4.6941814875444,
        4.694201038169941,
        4.694220588795482,
        4.694240616265549,
        4.694260166891089,
        4.694279717516631,
        4.694299744986697,
        4.694319295612239,
        4.6943388462377795,
        4.694358873707846,
        4.6943784243333875,
        4.694398451803454,
        4.6944180024289945,
        4.694437553054536,
        4.6944575805246025,
        4.694477131150143,
        4.694496681775685,
        4.6945162324012255,
        4.694536259871292,
        4.6945558104968335,
        4.694575361122374,
        4.6945953885924405,
        4.694614939217982,
        4.694634489843523,
        4.694654517313589,
        4.694674067939131,
        4.6946936185646715,
        4.694713169190213,
        4.694733196660279,
        4.69475274728582,
        4.694772297911362,
        4.694792325381428,
        4.69481187600697,
        4.69483142663251,
        4.694850977258051,
        4.694871004728118,
        4.694890555353659,
        4.6949101059792,
        4.694929656604741,
        4.694949684074808,
        4.694969234700349,
        4.69498878532589,
        4.695008335951431,
        4.695028363421498,
        4.695047914047039,
        4.69506746467258,
        4.695087015298121,
        4.695106565923662,
        4.695126593393729,
        4.69514614401927,
        4.69516569464481,
        4.695185245270352,
        4.695204795895893,
        4.69522482336596,
        4.695244373991501,
        4.695263924617041,
        4.695283475242583,
        4.695303025868124,
        4.695323053338191,
        4.695342603963732,
        4.695362154589272,
        4.695381705214814,
        4.695401255840355,
        4.695420806465896,
        4.695440833935963,
        4.695460384561503,
        4.695479935187045,
        4.695499485812586,
        4.695519036438127,
        4.695538587063668,
        4.6955581376892095,
        4.695578165159276,
        4.6955977157848166,
        4.695617266410358,
        4.695636817035899,
        4.6956563676614405,
        4.695675918286981,
        4.695695468912523,
        4.6957150195380635,
        4.69573504700813,
        4.695754597633671,
        4.695774148259212,
        4.695793698884753,
        4.695813249510294,
        4.695832800135835,
        4.695852350761377,
        4.6958719013869175,
        4.695891452012459,
        4.695911002638,
        4.695930553263541,
        4.695950580733608,
        4.695970131359148,
        4.69598968198469,
        4.696009232610231,
        4.696028783235772,
        4.696048333861313,
        4.696067884486854,
        4.696087435112395,
        4.696106985737936,
        4.696126536363478,
        4.696146086989018,
        4.69616563761456,
        4.696185188240101,
        4.696204738865642,
        4.696224289491183,
        4.696243840116725,
        4.696263390742265,
        4.696282941367806,
        4.696302491993348,
        4.696322042618888,
        4.69634159324443,
        4.696361143869971,
        4.696380694495512,
        4.696400245121053,
        4.6964197957465945,
        4.696439346372135,
        4.696458896997676,
        4.6964784476232175,
        4.696497998248758,
        4.6965175488743,
        4.6965370994998406,
        4.696556650125382,
        4.696576200750923,
        4.6965957513764645,
        4.696615302002005,
        4.696634852627547,
        4.6966544032530875,
        4.696673953878628,
        4.69669350450417,
        4.6967130551297105,
        4.696732605755252,
        4.696752156380793,
        4.696771230161809,
        4.6967907807873495,
        4.696810331412891,
        4.696829882038432,
        4.696849432663973,
        4.696868983289514,
        4.696888533915056,
        4.696908084540596,
        4.696927635166138,
        4.696947185791679,
        4.696966736417219,
        4.696985810198235,
        4.697005360823777,
        4.697024911449318,
        4.697044462074859,
        4.6970640127004,
        4.697083563325941,
        4.697103113951482,
        4.697122664577023,
        4.697142215202565,
        4.6971612889835805,
        4.697180839609121,
        4.697200390234662,
        4.697219940860204,
        4.697239491485744,
        4.697259042111286,
        4.697278115892302,
        4.6972976665178425,
        4.697317217143383,
        4.697336767768925,
        4.6973563183944655,
        4.697375869020007,
        4.697394942801022,
        4.697414493426564,
        4.6974340440521045,
        4.697453594677646,
        4.697473145303187,
        4.697492695928728,
        4.6975117697097435,
        4.697531320335285,
        4.697550870960826,
        4.697570421586367,
        4.697589495367383,
        4.697609045992924,
        4.697628596618465,
        4.697648147244006,
        4.697667697869547,
        4.697686771650563,
        4.697706322276105,
        4.697725872901645,
        4.697745423527186,
        4.697764497308202,
        4.697784047933744,
        4.697803598559284,
        4.697823149184826,
        4.697842222965841,
        4.697861773591383,
        4.697881324216923,
        4.697900874842465,
        4.69791994862348,
        4.6979394992490215,
        4.697959049874562,
        4.697978600500104,
        4.697997674281119,
        4.6980172249066605,
        4.698036775532201,
        4.698055849313217,
        4.698075399938758,
        4.6980949505642995,
        4.69811450118984,
        4.698133574970856,
        4.698153125596398,
        4.6981726762219385,
        4.698191750002954,
        4.698211300628495,
        4.698230851254037,
        4.698249925035052,
        4.698269475660593,
        4.698289026286134,
        4.69830810006715,
        4.698327650692691,
        4.698347201318232,
        4.698366275099248,
        4.698385825724789,
        4.698405376350331,
        4.698424450131346,
        4.698444000756887,
        4.698463551382428,
        4.698482625163444,
        4.698502175788985,
        4.698521249570001,
        4.698540800195542,
        4.698560350821083,
        4.698579424602099,
        4.69859897522764,
        4.698618525853181,
        4.698637599634196,
        4.698657150259738,
        4.698676224040754,
        4.6986957746662945,
        4.698715325291835,
        4.698734399072851,
        4.698753949698393,
        4.698773023479408,
        4.698792574104949,
        4.698811647885965,
        4.698831198511506,
        4.698850749137047,
        4.698869822918063,
        4.698889373543604,
        4.698908447324619,
        4.698927997950161,
        4.698947071731177,
        4.698966622356718,
        4.698986172982258,
        4.699005246763274,
        4.699024797388816,
        4.699043871169831,
        4.699063421795373,
        4.699082495576389,
        4.699102046201929,
        4.699121119982945,
        4.699140670608486,
        4.699159744389502,
        4.699179295015043,
        4.699198368796059,
        4.6992179194216,
        4.699236993202615,
        4.699256543828157,
        4.699275617609172,
        4.6992951682347135,
        4.6993142420157294,
        4.69933379264127,
        4.699352866422286,
        4.699372417047827,
        4.699391490828843,
        4.6994110414543835,
        4.699430115235399,
        4.699449665860941,
        4.699468739641956,
        4.699488290267498,
        4.699507364048514,
        4.699526914674054,
        4.69954598845507,
        4.699565062236085,
        4.699584612861627,
        4.699603686642643,
        4.699623237268184,
        4.6996423110492,
        4.69966186167474,
        4.699680935455756,
        4.699700486081297,
        4.699719559862313,
        4.699738633643329,
        4.69975818426887,
        4.6997772580498856,
        4.699796808675427,
        4.699815882456442,
        4.699834956237458,
        4.699854506862999,
        4.699873580644015,
        4.699893131269556,
        4.6999122050505715,
        4.6999312788315875,
        4.700085299613289,
        4.700104850238831,
        4.700123924019846,
        4.700142997800862,
        4.700162548426403,
        4.700181622207419,
        4.700200695988435,
        4.700220246613975,
        4.700239320394991,
        4.700258394176007,
        4.700277944801548,
        4.700297018582564,
        4.70031609236358,
        4.7003356429891205,
        4.7003547167701365,
        4.7003737905511525,
        4.700393341176693,
        4.700412414957709,
        4.700431488738725,
        4.700451039364266,
        4.700470113145282,
        4.700489186926297,
        4.700508260707313,
        4.700527811332854,
        4.700546885113869,
        4.700565958894885,
        4.700585509520427,
        4.700604583301442,
        4.700623657082458,
        4.700642730863474,
        4.700662281489015,
        4.700681355270031,
        4.700700429051047,
        4.700719502832062,
        4.700739053457603,
        4.700758127238619,
        4.700777201019634,
        4.70079627480065,
        4.700815825426192,
        4.700834899207207,
        4.700853972988223,
        4.700873046769239,
        4.7008925973947795,
        4.7009116711757954,
        4.700930744956811,
        4.7009498187378265,
        4.700968892518842,
        4.700988443144384,
        4.701007516925399,
        4.701026590706415,
        4.701045664487431,
        4.701064738268446,
        4.701084288893988,
        4.701103362675004,
        4.701122436456019,
        4.701141510237035,
        4.701160584018051,
        4.701180134643591,
        4.701199208424607,
        4.701218282205623,
        4.701237355986638,
        4.701256429767654,
        4.70127550354867,
        4.701295054174211,
        4.701314127955227,
        4.701333201736243,
        4.701352275517259,
        4.701371349298274,
        4.70139042307929,
        4.701409496860306,
        4.701428570641322,
        4.701448121266862,
        4.701467195047878,
        4.701486268828893,
        4.701505342609909,
        4.701524416390925,
        4.701543490171941,
        4.701562563952956,
        4.701581637733972,
        4.701601188359514,
        4.701620262140529,
        4.701639335921545,
        4.701658409702561,
        4.701677483483576,
        4.701696557264592,
        4.701715631045608,
        4.701734704826624,
        4.701753778607639,
        4.701772852388655,
        4.701791926169671,
        4.701810999950687,
        4.701830073731702,
        4.701849624357243,
        4.701868698138259,
        4.701887771919274,
        4.70190684570029,
        4.701925919481306,
        4.701944993262321,
        4.701964067043337,
        4.701983140824353,
        4.702002214605369,
        4.702021288386384,
        4.7020403621674,
        4.702059435948416,
        4.702078509729432,
        4.702097583510447,
        4.702116657291463,
        4.702135731072479,
        4.702154804853494,
        4.70217387863451,
        4.702192952415526,
        4.702212026196542,
        4.702231099977557,
        4.702250173758573,
        4.702269247539589,
        4.702288321320605,
        4.70230739510162,
        4.702326468882636,
        4.702345542663652,
        4.702364616444668,
        4.702383690225683,
        4.702402764006699,
        4.702421837787715,
        4.70244091156873,
        4.702459985349746,
        4.702479059130762,
        4.702498132911778,
        4.702517206692793,
        4.702536280473809,
        4.702554877410299,
        4.702573951191315,
        4.702593024972331,
        4.702612098753346,
        4.702631172534362,
        4.702650246315378,
        4.702669320096394,
        4.702688393877409,
        4.702707467658425,
        4.702726541439441,
        4.702745615220456,
        4.702764689001472,
        4.702783762782488,
        4.702802359718978,
        4.702821433499994,
        4.702840507281009,
        4.702859581062025,
        4.702878654843041,
        4.702897728624057,
        4.702916802405072,
        4.702935876186088,
        4.7029544731225785,
        4.7029735469035945,
        4.70299262068461,
        4.7030116944656255,
        4.7030307682466415,
        4.703049842027657,
        4.7030689158086725,
        4.703087512745163,
        4.703106586526179,
        4.703125660307195,
        4.703144734088211,
        4.703163807869226,
        4.703182881650242,
        4.703201955431258,
        4.703220552367748,
        4.703239626148764,
        4.703258699929779,
        4.703277773710795,
        4.703296847491811,
        4.703315444428301,
        4.703334518209317,
        4.703353591990332,
        4.703372665771348,
        4.703391739552364,
        4.703410336488854,
        4.7034294102698695,
        4.7034484840508854,
        4.703467557831901,
        4.703486631612917,
        4.703505228549408,
        4.703524302330423,
        4.703543376111439,
        4.703562449892455,
        4.703581046828945,
        4.703600120609961,
        4.703619194390976,
        4.703638268171992,
        4.703656865108482,
        4.703675938889498,
        4.703695012670514,
        4.703714086451529,
        4.7037326833880195,
        4.7037517571690355,
        4.703770830950051,
        4.703789904731067,
        4.703808501667558,
        4.703827575448573,
        4.703846649229589,
        4.703865723010605,
        4.703884319947095,
        4.70390339372811,
        4.703922467509126,
        4.703941064445616,
        4.703960138226632,
        4.703979212007648,
        4.7039978089441385,
        4.704016882725154,
        4.70403595650617,
        4.70405455344266,
        4.704073627223676,
        4.704092701004692,
        4.704111774785707,
        4.704130371722197,
        4.704149445503213,
        4.704168519284229,
        4.704187116220719,
        4.704206190001735,
        4.70422526378275,
        4.704243860719241,
        4.704262934500257,
        4.704281531436747,
        4.704300605217763,
        4.704319678998779,
        4.704338275935269,
        4.704357349716284,
        4.7043764234973,
        4.7043950204337905,
        4.7044140942148065,
        4.704433167995822,
        4.704451764932312,
        4.704470838713328,
        4.704489435649818,
        4.704508509430834,
        4.70452758321185,
        4.70454618014834,
        4.704565253929355,
        4.704583850865846,
        4.704602924646862,
        4.704621998427878,
        4.704640595364368,
        4.704659669145384,
        4.704678266081874,
        4.704697339862889,
        4.70471593679938,
        4.704735010580396,
        4.7047540843614115,
        4.704772681297902,
        4.704791755078918,
        4.704810352015408,
        4.704829425796423,
        4.7048480227329135,
        4.704867096513929,
        4.70488569345042,
        4.704904767231436,
        4.704923841012452,
        4.704942437948942,
        4.704961511729957,
        4.704980108666447,
        4.704999182447463,
        4.705017779383954,
        4.70503685316497,
        4.70505545010146,
        4.705074523882476,
        4.705093120818966,
        4.705112194599981,
        4.7051307915364715,
        4.7051498653174875,
        4.705168462253978,
        4.705187536034994,
        4.705206132971484,
        4.7052252067525,
        4.70524380368899,
        4.705262877470005,
        4.705281474406496,
        4.705300548187512,
        4.705319145124002,
        4.705338218905018,
        4.705356815841508,
        4.7053754127779985,
        4.7053944865590145,
        4.705413083495505,
        4.70543215727652,
        4.70545075421301,
        4.705469827994026,
        4.7054884249305164,
        4.705507498711532,
        4.705526095648023,
        4.705544692584513,
        4.705563766365529,
        4.705582363302019,
        4.705601437083034,
        4.705620034019525,
        4.705639107800541,
        4.705657704737031,
        4.705676301673521,
        4.705695375454537,
        4.7057139723910275,
        4.7057330461720435,
        4.705751643108534,
        4.705770240045024,
        4.705789313826039,
        4.7058079107625295,
        4.705826984543545,
        4.705845581480036,
        4.705864178416526,
        4.705883252197542,
        4.705901849134032,
        4.705920446070523,
        4.705939519851539,
        4.705958116788029,
        4.705977190569044,
        4.705995787505534,
        4.706014384442025,
        4.7060334582230405,
        4.706052055159531,
        4.706070652096021,
        4.706089725877037,
        4.706108322813527,
        4.706126919750018,
        4.706145993531034,
        4.706164590467524,
        4.706183187404014,
        4.706202261185029,
        4.70622085812152,
        4.70623945505801,
        4.706258528839026,
        4.706277125775516,
        4.706295722712007,
        4.706314319648497,
        4.706333393429513,
        4.706351990366003,
        4.7063705873024935,
        4.706389661083509,
        4.70640825802,
        4.70642685495649,
        4.70644545189298,
        4.706464525673995,
        4.706483122610486,
        4.706501719546976,
        4.706520793327992,
        4.706539390264482,
        4.706557987200973,
        4.706576584137463,
        4.706595657918479,
        4.706614254854969,
        4.7066328517914595,
        4.70665144872795,
        4.706670522508966,
        4.706689119445456,
        4.706707716381946,
        4.706726313318437,
        4.706744910254927,
        4.706763984035942,
        4.706782580972433,
        4.706801177908924,
        4.706819774845414,
        4.706838848626429,
        4.706857445562919,
        4.70687604249941,
        4.7068946394359,
        4.70691323637239,
        4.706932310153406,
        4.7069509070898965,
        4.706969504026387,
        4.706988100962877,
        4.707006697899367,
        4.707025771680383,
        4.707044368616874,
        4.707062965553364,
        4.707081562489854,
        4.707100159426345,
        4.707118756362835,
        4.707137830143851,
        4.707156427080341,
        4.7071750240168315,
        4.707193620953322,
        4.707212217889812,
        4.7072308148263025,
        4.707249411762793,
        4.707268485543808,
        4.707287082480298,
        4.7073056794167885,
        4.707324276353279,
        4.707342873289769,
        4.70736147022626,
        4.707380067162751,
        4.707399140943766,
        4.707417737880256,
        4.707436334816746,
        4.707454931753237,
        4.707473528689727,
        4.707492125626217,
        4.7075107225627075,
        4.707529319499198,
        4.707547916435688,
        4.7075665133721785,
        4.707585587153194,
        4.707604184089685,
        4.707622781026175,
        4.707641377962665,
        4.707659974899156,
        4.707678571835646,
        4.707697168772136,
        4.707715765708627,
        4.707734362645117,
        4.707752959581607,
        4.7077715565180975,
        4.707790153454588,
        4.707808750391078,
        4.7078273473275685,
        4.707845944264059,
        4.707864541200549,
        4.707883614981565,
        4.707902211918055,
        4.707920808854546,
        4.707939405791036,
        4.707958002727526,
        4.707976599664017,
        4.707995196600507,
        4.708013793536997,
        4.7080323904734875,
        4.708050987409978,
        4.708069584346468,
        4.7080881812829585,
        4.708106778219449,
        4.708125375155939,
        4.708143972092429,
        4.70816256902892,
        4.70818116596541,
        4.7081997629019,
        4.708218359838391,
        4.708236956774881,
        4.708255553711371,
        4.708274150647862,
        4.708292747584352,
        4.708311344520842,
        4.708329464612808,
        4.708348061549298,
        4.708366658485788,
        4.708385255422279,
        4.708403852358769,
        4.708422449295259,
        4.70844104623175,
        4.70845964316824,
        4.70847824010473,
        4.708496837041221,
        4.708515433977711,
        4.708534030914201,
        4.7085526278506915,
        4.708571224787182,
        4.708589821723672,
        4.708608418660162,
        4.708626538752127,
        4.708645135688617,
        4.708663732625108,
        4.708682329561598,
        4.708700926498088,
        4.708719523434579,
        4.708738120371069,
        4.708905015954957,
        4.708923612891447,
        4.708941732983412,
        4.708960329919902,
        4.708978926856393,
        4.708997523792883,
        4.709016120729373,
        4.709034717665864,
        4.709053314602354,
        4.7090714346943185,
        4.709090031630809,
        4.709108628567299,
        4.7091272255037895,
        4.70914582244028,
        4.70916441937677,
        4.709182539468736,
        4.709201136405226,
        4.709219733341716,
        4.709238330278207,
        4.709256927214697,
        4.709275047306662,
        4.709293644243152,
        4.709312241179642,
        4.7093308381161325,
        4.709349435052623,
        4.7093675551445875,
        4.709386152081078,
        4.709404749017568,
        4.709423345954058,
        4.709441466046024,
        4.709460062982514,
        4.709478659919005,
        4.709497256855495,
        4.709515853791985,
        4.70953397388395,
        4.70955257082044,
        4.7095711677569305,
        4.709589764693421,
        4.7096078847853855,
        4.709626481721876,
        4.709645078658366,
        4.709663675594856,
        4.709681795686822,
        4.709700392623312,
        4.709718989559803,
        4.709737109651767,
        4.709755706588258,
        4.709774303524748,
        4.709792900461238,
        4.709811020553203,
        4.709829617489693,
        4.7098482144261835,
        4.709866334518149,
        4.709884931454639,
        4.70990352839113,
        4.70992212532762,
        4.709940245419585,
        4.709958842356075,
        4.709977439292565,
        4.70999555938453,
        4.71001415632102,
        4.710032753257511,
        4.710050873349476,
        4.7100694702859665,
        4.710088067222457,
        4.710106187314421,
        4.710124784250912,
        4.710143381187402,
        4.710161501279367,
        4.710180098215857,
        4.710198695152347,
        4.710216815244313,
        4.710235412180803,
        4.7102540091172935,
        4.710272129209258,
        4.7102907261457485,
        4.710308846237713,
        4.7103274431742035,
        4.710346040110694,
        4.710364160202659,
        4.71038275713915,
        4.71040135407564,
        4.710419474167605,
        4.710438071104095,
        4.71045619119606,
        4.71047478813255,
        4.71049338506904,
        4.710511505161006,
        4.710530102097496,
        4.710548222189461,
        4.710566819125951,
        4.710584939217916,
        4.710603536154406,
        4.710622133090896,
        4.710640253182861,
        4.710658850119351,
        4.710676970211317,
        4.710695567147807,
        4.710713687239772,
        4.710732284176262,
        4.7107508811127525,
        4.710769001204717,
        4.7107875981412075,
        4.710805718233173,
        4.710824315169663,
        4.710842435261628,
        4.710861032198118,
        4.710879152290083,
        4.710897749226573,
        4.710915869318539,
        4.710934466255029,
        4.7109530631915195,
        4.710971183283484,
        4.7109897802199745,
        4.711007900311939,
        4.7110264972484295,
        4.711044617340395,
        4.711063214276885,
        4.71108133436885,
        4.71109993130534,
        4.711118051397305,
        4.711136648333795,
        4.711154768425761,
        4.711173365362251,
        4.711191485454216,
        4.711210082390706,
        4.711228202482671,
        4.7112463225746355,
        4.711264919511126,
        4.711283039603091,
        4.711301636539582,
        4.711319756631546,
        4.711338353568037,
        4.711356473660001,
        4.711375070596492,
        4.711393190688457,
        4.7114117876249475,
        4.711429907716912,
        4.711448027808877,
        4.711466624745367,
        4.711484744837333,
        4.711503341773823,
        4.711521461865788,
        4.711540058802278,
        4.711558178894243,
        4.711576298986207,
        4.7115948959226985,
        4.711613016014663,
        4.7116316129511535,
        4.711649733043118,
        4.711667853135083,
        4.711686450071573,
        4.711704570163539,
        4.711723167100029,
        4.711741287191994,
        4.711759407283958,
        4.711778004220449,
        4.711796124312414,
        4.7118147212489045,
        4.711832841340869,
        4.711850961432834,
        4.711869558369324,
        4.71188767846129,
        4.711905798553254,
        4.711924395489745,
        4.711942515581709,
        4.7119611125182,
        4.711979232610164,
        4.71199735270213,
        4.71201594963862,
        4.712034069730585,
        4.71205218982255,
        4.71207078675904,
        4.7120889068510055,
        4.71210702694297,
        4.71212562387946,
        4.712143743971425,
        4.712161864063391,
        4.712180460999881,
        4.712198581091846,
        4.71221670118381,
        4.712234821275775,
        4.712253418212265,
        4.712271538304231,
        4.7122896583961955,
        4.712308255332686,
        4.7123263754246505,
        4.712344495516616,
        4.712363092453106,
        4.712381212545071,
        4.712399332637036,
        4.712417452729001,
        4.712436049665492,
        4.712454169757456,
        4.712472289849421,
        4.712490409941386,
        4.712509006877876,
        4.712527126969841,
        4.712545247061806,
        4.712563367153771,
        4.712581964090261,
        4.712600084182227,
        4.712618204274191,
        4.712636324366156,
        4.712654921302646,
        4.712673041394612,
        4.7126911614865765,
        4.712709281578541,
        4.7127278785150315,
        4.712745998606996,
        4.712764118698962,
        4.712782238790926,
        4.712800358882891,
        4.712818955819381,
        4.712837075911347,
        4.712855196003312,
        4.712873316095276,
        4.712891913031767,
        4.712910033123732,
        4.712928153215697,
        4.7129462733076615,
        4.712964393399626,
        4.712982513491592,
        4.713001110428082,
        4.713019230520047,
        4.713037350612011,
        4.713055470703977,
        4.713073590795942,
        4.713091710887906,
        4.7131103078243965,
        4.713128427916362,
        4.713146548008327,
        4.713164668100291,
        4.713182788192256,
        4.713200908284222,
        4.713219505220712,
        4.713237625312677,
        4.713255745404641,
        4.713273865496607,
        4.7132919855885715,
        4.713310105680536,
        4.713328225772501,
        4.713346345864466,
        4.713364942800957,
        4.713383062892921,
        4.713401182984886,
        4.713419303076852,
        4.713437423168816,
        4.713455543260781,
        4.7134736633527465,
        4.713491783444711,
        4.713509903536676,
        4.713528500473166,
        4.713546620565131,
        4.713564740657096,
        4.713582860749061,
        4.713600980841026,
        4.713619100932991,
        4.713637221024956,
        4.713655341116921,
        4.713673461208886,
        4.713691581300851,
        4.7137097013928155,
        4.71372782148478,
        4.713745941576746,
        4.71376406166871,
        4.713782658605201,
        4.713800778697165,
        4.713818898789131,
        4.713837018881096,
        4.71385513897306,
        4.713873259065025,
        4.7138913791569905,
        4.713909499248955,
        4.71392761934092,
        4.713945739432885,
        4.71396385952485,
        4.713981979616815,
        4.71400009970878,
        4.714018219800745,
        4.71403633989271,
        4.714054459984674,
        4.71407258007664,
        4.7140907001686045,
        4.714108820260569,
        4.714126940352535,
        4.714145060444499,
        4.714163180536464,
        4.71418130062843,
        4.714199420720394,
        4.714217540812359,
        4.714235660904324,
        4.714253780996289,
        4.714271901088254,
        4.714290021180219,
        4.714308141272184,
        4.714326261364149,
        4.7143443814561135,
        4.714362501548078,
        4.714380621640044,
        4.714398264887483,
        4.714416384979448,
        4.714434505071413,
        4.714452625163378,
        4.714470745255343,
        4.714488865347308,
        4.7145069854392725,
        4.714525105531237,
        4.714543225623203,
        4.714561345715167,
        4.714579465807132,
        4.714597585899098,
        4.714615705991062,
        4.714633826083027,
        4.714651469330467,
        4.7146695894224315,
        4.714687709514396,
        4.714705829606362,
        4.714723949698326,
        4.714742069790291,
        4.714760189882257,
        4.714778309974221,
        4.714796430066186,
        4.714814073313626,
        4.714832193405591,
        4.714850313497555,
        4.714868433589521,
        4.7148865536814855,
        4.71490467377345,
        4.714922793865415,
        4.71494091395738,
        4.714958557204819,
        4.714976677296785,
        4.71499479738875,
        4.715012917480714,
        4.71503103757268,
        4.7150491576646445,
        4.7150668009120835,
        4.715084921004049,
        4.715103041096014,
        4.715121161187978,
        4.715139281279944,
        4.715157401371909,
        4.715175044619348,
        4.715193164711313,
        4.715211284803278,
        4.715229404895243,
        4.715247524987208,
        4.715265168234647,
        4.715283288326612,
        4.715301408418577,
        4.715319528510542,
        4.715337648602507,
        4.715355291849947,
        4.715373411941911,
        4.715391532033877,
        4.7154096521258415,
        4.715427772217806,
        4.715445415465246,
        4.715463535557211,
        4.715481655649175,
        4.715499775741141,
        4.71551741898858,
        4.715535539080545,
        4.71555365917251,
        4.715571779264475,
        4.715589422511915,
        4.7156075426038795,
        4.715625662695844,
        4.71564378278781,
        4.715661426035249,
        4.715679546127213,
        4.715697666219179,
        4.715715786311144,
        4.7157334295585835,
        4.715751549650548,
        4.715769669742513,
        4.7157877898344776,
        4.7158054330819175,
        4.715823553173882,
        4.715841673265848,
        4.715859316513287,
        4.715877436605251,
        4.715895556697217,
        4.715913199944656,
        4.7159313200366215,
        4.715949440128586,
        4.715967560220551,
        4.715985203467991,
        4.716003323559955,
        4.71602144365192,
        4.71603908689936,
        4.716057206991325,
        4.71607532708329,
        4.716092970330729,
        4.716111090422694,
        4.7161292105146595,
        4.7161468537620985,
        4.716164973854064,
        4.716183093946029,
        4.716200737193468,
        4.716218857285433,
        4.716236977377398,
        4.716254620624838,
        4.716272740716803,
        4.7162903839642425,
        4.716308504056207,
        4.716326624148172,
        4.716344267395612,
        4.716362387487576,
        4.716380507579541,
        4.716398150826981,
        4.716416270918946,
        4.716433914166386,
        4.71645203425835,
        4.716470154350315,
        4.716487797597755,
        4.7165059176897195,
        4.716523560937159,
        4.716541681029124,
        4.716559801121089,
        4.716577444368529,
        4.716595564460493,
        4.716613207707933,
        4.716631327799898,
        4.716649447891863,
        4.7166670911393025,
        4.716685211231267,
        4.716702854478707,
        4.716720974570672,
        4.716738617818112,
        4.716756737910076,
        4.716774381157516,
        4.716792501249481,
        4.716810621341446,
        4.7168282645888855,
        4.71684638468085,
        4.71686402792829,
        4.716882148020255,
        4.716899791267694,
        4.716917911359659,
        4.716935554607098,
        4.716953674699064,
        4.716971317946503,
        4.7169894380384685,
        4.7170070812859075,
        4.717025201377872,
        4.717042844625312,
        4.717060964717277,
        4.717078607964717,
        4.717096728056681,
        4.717114371304121,
        4.717132491396086,
        4.717150134643526,
        4.7171682547354905,
        4.7171858979829295,
        4.717204018074895,
        4.717221661322334,
        4.7172397814143,
        4.717257424661739,
        4.717275544753704,
        4.717293188001143,
        4.717311308093108,
        4.717328951340548,
        4.7173470714325125,
        4.717364714679952,
        4.717382834771917,
        4.717400478019357,
        4.717418598111322,
        4.717436241358762,
        4.717453884606201,
        4.717472004698165,
        4.717489647945605,
        4.71750776803757,
        4.71752541128501,
        4.7175435313769745,
        4.717561174624414,
        4.717578817871853,
        4.717596937963819,
        4.717614581211258,
        4.7176327013032235,
        4.717650344550663,
        4.717668464642627,
        4.717846327650599,
        4.717864447742564,
        4.717882090990003,
        4.717900211081968,
        4.717917854329408,
        4.717935497576848,
        4.717953617668813,
        4.717971260916252,
        4.7179889041636915,
        4.718007024255656,
        4.718024667503096,
        4.718042310750536,
        4.718060430842501,
        4.71807807408994,
        4.71809571733738,
        4.718113837429344,
        4.718131480676784,
        4.718149123924223,
        4.718167244016189,
        4.718184887263628,
        4.718202530511068,
        4.718220650603032,
        4.718238293850472,
        4.718255937097911,
        4.718274057189877,
        4.718291700437316,
        4.718309343684756,
        4.7183274637767205,
        4.71834510702416,
        4.7183627502715995,
        4.718380393519039,
        4.718398513611004,
        4.718416156858444,
        4.718433800105883,
        4.7184519201978485,
        4.718469563445288,
        4.7184872066927275,
        4.7185048499401665,
        4.718522970032132,
        4.718540613279571,
        4.718558256527011,
        4.71857589977445,
        4.718594019866416,
        4.718611663113855,
        4.7186293063612945,
        4.718647426453259,
        4.718665069700699,
        4.718682712948138,
        4.718700356195578,
        4.718717999443017,
        4.718736119534983,
        4.718753762782422,
        4.718771406029862,
        4.718789049277301,
        4.718807169369266,
        4.718824812616705,
        4.718842455864145,
        4.718860099111584,
        4.718877742359024,
        4.718895862450989,
        4.718913505698429,
        4.718931148945868,
        4.7189487921933075,
        4.7189664354407475,
        4.718984555532712,
        4.719002198780151,
        4.719019842027591,
        4.719037485275031,
        4.71905512852247,
        4.719073248614435,
        4.719090891861875,
        4.7191085351093145,
        4.7191261783567535,
        4.719143821604193,
        4.7191614648516325,
        4.719179584943598,
        4.719197228191037,
        4.719214871438477,
        4.719232514685916,
        4.719250157933356,
        4.719267801180796,
        4.7192859212727605,
        4.7193035645201995,
        4.719321207767639,
        4.719338851015079,
        4.719356494262518,
        4.719374137509958,
        4.719391780757397,
        4.719409424004837,
        4.719427544096802,
        4.719445187344242,
        4.719462830591681,
        4.719480473839121,
        4.71949811708656,
        4.719515760334,
        4.71953340358144,
        4.719551046828879,
        4.721406687299446,
        4.723403473749528,
        4.7234244549086455,
        4.723445436067762,
        4.72346641722688,
        4.7234873983859975,
        4.723508379545114,
        4.7235298375487575,
        4.723550818707874,
        4.723571799866992,
        4.723592781026109,
        4.723613762185226,
        4.723634743344344,
        4.723655724503461,
        4.723676705662578,
        4.723698163666221,
        4.723719144825338,
        4.723740125984455,
        4.723761107143573,
        4.72378208830269,
        4.723803069461807,
        4.723824050620925,
        4.723845031780042,
        4.723866012939159,
        4.723886994098277,
        4.723907975257394,
        4.723928956416511,
        4.723949937575628,
        4.723970918734746,
        4.723992376738388,
        4.724013357897506,
        4.724034339056623,
        4.72405532021574,
        4.724076301374858,
        4.724097282533974,
        4.724118263693092,
        4.72413924485221,
        4.7241602260113265,
        4.724181207170444,
        4.724202188329561,
        4.7242231694886785,
        4.724244150647796,
        4.724265131806913,
        4.7242861129660305,
        4.724307094125147,
        4.724328075284265,
        4.7243490564433825,
        4.724370037602499,
        4.724391018761617,
        4.724411999920734,
        4.724432981079851,
        4.724453962238969,
        4.724474943398086,
        4.724495924557203,
        4.72451690571632,
        4.724537410030912,
        4.72455839119003,
        4.724579372349147,
        4.724600353508264,
        4.724621334667382,
        4.7246423158264985,
        4.724663296985616,
        4.724684278144734,
        4.7247052593038505,
        4.724726240462968,
        4.724747221622085,
        4.724768202781203,
        4.72478918394032,
        4.724810165099437,
        4.724830669414029,
        4.724851650573147,
        4.724872631732263,
        4.724893612891381,
        4.724914594050499,
        4.724935575209615,
        4.724956556368733,
        4.72497753752785,
        4.724998041842442,
        4.725019023001559,
        4.725040004160676,
        4.725060985319794,
        4.725081966478911,
        4.725102947638028,
        4.725123928797146,
        4.725144433111738,
        4.725165414270855,
        4.725186395429972,
        4.72520737658909,
        4.725228357748207,
        4.725249338907324,
        4.725269843221916,
        4.725290824381033,
        4.725311805540151,
        4.725332786699267,
        4.725353767858385,
        4.725374749017503,
        4.725395253332095,
        4.725416234491211,
        4.725437215650329,
        4.725458196809446,
        4.725479177968563,
        4.725499682283155,
        4.725520663442272,
        4.72554164460139,
        4.7255626257605075,
        4.7255831300750994,
        4.725604111234216,
        4.725625092393334,
        4.725646073552451,
        4.725666577867043,
        4.72568755902616,
        4.725708540185277,
        4.725729521344395,
        4.725750025658987,
        4.725771006818104,
        4.725791987977221,
        4.725812969136339,
        4.725833473450931,
        4.725854454610047,
        4.725875435769165,
        4.725896416928283,
        4.725916921242874,
        4.725937902401991,
        4.725958883561109,
        4.7259793878757,
        4.726000369034818,
        4.726021350193935,
        4.726041854508527,
        4.726062835667644,
        4.726083816826762,
        4.726104321141354,
        4.726125302300471,
        4.726146283459588,
        4.72616678777418,
        4.726187768933297,
        4.726208750092415,
        4.726229254407007,
        4.726250235566123,
        4.726271216725241,
        4.726291721039833,
        4.726312702198951,
        4.726333683358067,
        4.726354187672659,
        4.726375168831777,
        4.726396149990894,
        4.726416654305486,
        4.726437635464603,
        4.726458139779195,
        4.726479120938312,
        4.72650010209743,
        4.726520606412022,
        4.7265415875711385,
        4.7265620918857305,
        4.726583073044848,
        4.726604054203965,
        4.726624558518557,
        4.7266455396776745,
        4.7266660439922665,
        4.726687025151383,
        4.726708006310501,
        4.726873948205338,
        4.726894929364455,
        4.726915433679046,
        4.726936414838164,
        4.726956919152756,
        4.726977900311874,
        4.726998404626465,
        4.7270193857855825,
        4.7270398901001744,
        4.727060871259292,
        4.727081375573883,
        4.727102356733001,
        4.727122861047593,
        4.7271438422067105,
        4.727164346521302,
        4.727185327680419,
        4.727205831995011,
        4.727226813154129,
        4.72724731746872,
        4.727268298627838,
        4.72728880294243,
        4.727309784101547,
        4.727330288416138,
        4.72735079273073,
        4.727371773889848,
        4.72739227820444,
        4.727413259363557,
        4.727433763678149,
        4.727454744837266,
        4.727475249151858,
        4.727496230310975,
        4.727516734625567,
        4.727537238940159,
        4.727558220099277,
        4.727578724413869,
        4.7275997055729855,
        4.7276202098875775,
        4.727641191046695,
        4.727661695361287,
        4.727682199675879,
        4.727703180834996,
        4.727723685149588,
        4.7277446663087055,
        4.727765170623297,
        4.727785674937889,
        4.727806656097006,
        4.727827160411598,
        4.72784766472619,
        4.727868645885307,
        4.727889150199899,
        4.727910131359017,
        4.727930635673609,
        4.727951139988201,
        4.727972121147317,
        4.727992625461909,
        4.728013129776501,
        4.728034110935619,
        4.72805461525021,
        4.728343583032599,
        4.728364564191716,
        4.728385068506308,
        4.7284055728209,
        4.728426077135492,
        4.728447058294609,
        4.728467562609201,
        4.728488066923792,
        4.728508571238384,
        4.728529552397502,
        4.728550056712094,
        4.728570561026686,
        4.728591065341278,
        4.728612046500395,
        4.728632550814987,
        4.728653055129579,
        4.728673559444171,
        4.728694540603287,
        4.728715044917879,
        4.728735549232471,
        4.728756053547063,
        4.728777034706181,
        4.728797539020773,
        4.728818043335364,
        4.728838547649956,
        4.728859051964548,
        4.728880033123666,
        4.728900537438258,
        4.72892104175285,
        4.728941546067442,
        4.728962050382033,
        4.728982554696625,
        4.7290035358557425,
        4.7290240401703345,
        4.7290445444849265,
        4.7290650487995185,
        4.72908555311411,
        4.729106057428702,
        4.729127038587819,
        4.729147542902411,
        4.729168047217003,
        4.729188551531595,
        4.729209055846186,
        4.729229560160778,
        4.72925006447537,
        4.729271045634488,
        4.72929154994908,
        4.729312054263672,
        4.729332558578264,
        4.729353062892855,
        4.729373567207447,
        4.729394071522039,
        4.729414575836631,
        4.729435080151223,
        4.729455584465815,
        4.729476565624932,
        4.729497069939524,
        4.729517574254116,
        4.729538078568708,
        4.7295585828833,
        4.729579087197892,
        4.729599591512484,
        4.729620095827076,
        4.729640600141668,
        4.729661104456259,
        4.729681608770851,
        4.729702113085443,
        4.729722617400035,
        4.729743121714627,
        4.729763626029219,
        4.729784130343811,
        4.729805111502928,
        4.72982561581752,
        4.729846120132112,
        4.729866624446704,
        4.729887128761296,
        4.729907633075888,
        4.72992813739048,
        4.729948641705072,
        4.729969146019663,
        4.729989650334255,
        4.730010154648847,
        4.730030658963439,
        4.730051163278031,
        4.730071667592623,
        4.730092171907215,
        4.730112676221807,
        4.730133180536399,
        4.73015368485099,
        4.730173712321057,
        4.730194216635648,
        4.73021472095024,
        4.730235225264832,
        4.730255729579424,
        4.730276233894016,
        4.730296738208608,
        4.7303172425232,
        4.730337746837792,
        4.730358251152384,
        4.730378755466975,
        4.730399259781567,
        4.730419764096159,
        4.730440268410751,
        4.730460772725343,
        4.730481277039935,
        4.7305013045100015,
        4.7305218088245935,
        4.7305423131391855,
        4.7305628174537775,
        4.7305833217683695,
        4.730603826082961,
        4.730624330397553,
        4.730644834712145,
        4.730665339026737,
        4.730685843341329,
        4.730705870811395,
        4.730726375125987,
        4.730746879440579,
        4.730767383755171,
        4.730787888069763,
        4.730808392384355,
        4.730828896698947,
        4.730848924169013,
        4.730869428483605,
        4.730889932798196,
        4.730910437112788,
        4.73093094142738,
        4.730951445741972,
        4.730971473212039,
        4.730991977526631,
        4.731012481841223,
        4.731032986155815,
        4.731053490470407,
        4.731073994784999,
        4.731094022255065,
        4.731114526569657,
        4.731135030884249,
        4.731155535198841,
        4.731176039513432,
        4.731196066983499,
        4.7312165712980905,
        4.7312370756126825,
        4.7312575799272745,
        4.731277607397341,
        4.731298111711933,
        4.731318616026525,
        4.731339120341117,
        4.731359624655709,
        4.731379652125775,
        4.731400156440367,
        4.731420660754959,
        4.731441165069551,
        4.7314611925396175,
        4.7314816968542095,
        4.7315022011688015,
        4.731522228638868,
        4.73154273295346,
        4.731563237268052,
        4.731583741582644,
        4.73160376905271,
        4.731624273367302,
        4.731644777681894,
        4.731665281996485,
        4.7316853094665525,
        4.731705813781144,
        4.731726318095736,
        4.731746345565803,
        4.731766849880394,
        4.731787354194986,
        4.731807381665052,
        4.731827885979644,
        4.731848390294236,
        4.731868417764303,
        4.731888922078895,
        4.731909426393487,
        4.731929453863553,
        4.731949958178145,
        4.731970462492737,
        4.731990489962803,
        4.732010994277395,
        4.732031498591987,
        4.732051526062054,
        4.732072030376646,
        4.732092534691238,
        4.732112562161304,
        4.732133066475896,
        4.732153093945962,
        4.732173598260554,
        4.732194102575146,
        4.732214130045213,
        4.732234634359805,
        4.732255138674397,
        4.732275166144463,
        4.732295670459055,
        4.732315697929121,
        4.732336202243713,
        4.732356706558305,
        4.732376734028372,
        4.732397238342964,
        4.73241726581303,
        4.732437770127622,
        4.7324577975976885,
        4.7324783019122805,
        4.7324988062268725,
        4.732518833696939,
        4.732539338011531,
        4.732559365481597,
        4.732579869796189,
        4.7325998972662555,
        4.7326204015808475,
        4.732640429050914,
        4.732660933365506,
        4.732680960835572,
        4.732701465150164,
        4.732721492620231,
        4.732741996934823,
        4.7327625012494146,
        4.732782528719481,
        4.732803033034073,
        4.732823060504139,
        4.732843564818731,
        4.732863592288798,
        4.73288409660339,
        4.732904124073457,
        4.732924628388048,
        4.732944655858115,
        4.732965160172706,
        4.7329851876427735,
        4.73300521511284,
        4.733025719427432,
        4.733045746897498,
        4.73306625121209,
        4.733086278682157,
        4.733106782996749,
        4.733126810466815,
        4.733147314781407,
        4.733167342251473,
        4.733187846566065,
        4.733207874036132,
        4.733227901506198,
        4.73324840582079,
        4.733268433290856,
        4.733288937605448,
        4.733308965075515,
        4.733329469390107,
        4.733349496860173,
        4.73336952433024,
        4.733390028644831,
        4.733410056114899,
        4.733430560429491,
        4.733450587899557,
        4.733470615369623,
        4.733491119684215,
        4.733511147154282,
        4.733531651468874,
        4.73355167893894,
        4.733571706409006,
        4.733592210723598,
        4.733612238193665,
        4.733632265663731,
        4.733652769978323,
        4.733672797448389,
        4.733693301762981,
        4.733713329233048,
        4.733733356703115,
        4.733753861017707,
        4.733773888487773,
        4.73379391595784,
        4.733814420272432,
        4.733834447742498,
        4.733854475212564,
        4.733874979527156,
        4.733895006997223,
        4.733915034467289,
        4.733935538781881,
        4.7339555662519475,
        4.733975593722015,
        4.733995621192081,
        4.734016125506673,
        4.734036152976739,
        4.734056180446806,
        4.734076684761398,
        4.734096712231464,
        4.7341167397015305,
        4.7341372440161225,
        4.734157271486189,
        4.734177298956255,
        4.734197326426322,
        4.7342178307409135,
        4.734237858210981,
        4.734257885681047,
        4.7342779131511135,
        4.7342984174657055,
        4.734318444935772,
        4.734338472405838,
        4.7343584998759045,
        4.7343790041904965,
        4.734399031660563,
        4.73441905913063,
        4.7344390866006965,
        4.7344595909152885,
        4.734479618385355,
        4.734499645855421,
        4.7345196733254875,
        4.734539700795554,
        4.734560205110146,
        4.734580232580212,
        4.734600260050279,
        4.734620287520346,
        4.734640314990412,
        4.734660819305004,
        4.7346808467750705,
        4.734700874245137,
        4.734720901715203,
        4.73474092918527,
        4.734760956655337,
        4.734781460969928,
        4.734801488439995,
        4.7348215159100615,
        4.734841543380128,
        4.734861570850194,
        4.734881598320261,
        4.734902102634853,
        4.734922130104919,
        4.734942157574985,
        4.7349621850450525,
        4.734982212515119,
        4.735002239985185,
        4.735022267455252,
        4.735042294925318,
        4.73506279923991,
        4.735082826709976,
        4.7351028541800435,
        4.73512288165011,
        4.735142909120176,
        4.735162936590243,
        4.735182964060309,
        4.735202991530375,
        4.7352230190004425,
        4.735243523315034,
        4.735263550785101,
        4.735283578255167,
        4.735303605725234,
        4.7353236331953,
        4.735343660665366,
        4.735363688135433,
        4.7353837156055,
        4.735403743075566,
        4.735423770545633,
        4.735443798015699,
        4.735463825485765,
        4.735483852955832,
        4.735503880425899,
        4.735523907895965,
        4.735543935366032,
        4.735563962836098,
        4.73558446715069,
        4.735604494620756,
        4.735624522090823,
        4.73564454956089,
        4.735664577030956,
        4.735684604501023,
        4.735704631971089,
        4.735724659441155,
        4.735744686911222,
        4.735764714381289,
        4.735784741851355,
        4.735804769321422,
        4.735824796791488,
        4.735844824261554,
        4.735864851731621,
        4.736004567177561,
        4.736024594647628,
        4.736044622117694,
        4.73606464958776,
        4.7360846770578275,
        4.736104704527894,
        4.73612473199796,
        4.736144759468027,
        4.736164786938093,
        4.736184814408159,
        4.7362048418782265,
        4.736224869348293,
        4.736244896818359,
        4.7362644474439,
        4.736284474913966,
        4.7363045023840336,
        4.7363245298541,
        4.736344557324166,
        4.736364584794233,
        4.736384612264299,
        4.736404639734365,
        4.736424667204433,
        4.736444217829973,
        4.73646424530004,
        4.736484272770106,
        4.736504300240173,
        4.73652432771024,
        4.736544355180306,
        4.736564382650372,
        4.736584410120439,
        4.73660396074598,
        4.736623988216047,
        4.736644015686113,
        4.736664043156179,
        4.736684070626246,
        4.736704098096313,
        4.736723648721854,
        4.73674367619192,
        4.736763703661986,
        4.7367837311320535,
        4.73680375860212,
        4.736823786072186,
        4.736843336697727,
        4.736863364167793,
        4.7368833916378605,
        4.736903419107927,
        4.736923446577993,
        4.736942997203534,
        4.736963024673601,
        4.7369830521436675,
        4.737003079613734,
        4.7370231070838,
        4.737042657709342,
        4.737062685179408,
        4.737082712649475,
        4.737102740119541,
        4.7371222907450825,
        4.737142318215149,
        4.737162345685215,
        4.737182373155282,
        4.737201923780822,
        4.7372219512508895,
        4.737241978720956,
        4.737262006191022,
        4.737281556816563,
        4.73730158428663,
        4.7373216117566965,
        4.737341639226763,
        4.737361189852304,
        4.737381217322371,
        4.737401244792437,
        4.737420795417978,
        4.737440822888044,
        4.7374608503581115,
        4.737480877828178,
        4.7375004284537185,
        4.737520455923785,
        4.737540483393851,
        4.737560034019393,
        4.737580061489459,
        4.737600088959526,
        4.737619639585067,
        4.7376396670551335,
        4.7376596945252,
        4.737679245150741,
        4.737699272620808,
        4.737719300090874,
        4.737738850716415,
        4.737758878186481,
        4.7377789056565485,
        4.737798456282089,
        4.7378184837521555,
        4.737838511222222,
        4.7378580618477635,
        4.73787808931783,
        4.7378976399433705,
        4.737917667413438,
        4.737937694883504,
        4.737957245509045,
        4.737977272979111,
        4.737997300449178,
        4.738016851074719,
        4.7380368785447855,
        4.738056429170327,
        4.7380764566403935,
        4.73809648411046,
        4.7381160347360005,
        4.738136062206068,
        4.7381556128316085,
        4.738175640301675,
        4.738195667771741,
        4.738215218397283,
        4.738235245867349,
        4.73825479649289,
        4.738274823962957,
        4.738294374588498,
        4.738314402058564,
        4.738333952684106,
        4.738353980154172,
        4.738374007624238,
        4.738393558249779,
        4.738413585719846,
        4.738433136345387,
        4.7384531638154535,
        4.738472714440995,
        4.738492741911061,
        4.738512292536602,
        4.738532320006669,
        4.73855187063221,
        4.738571898102276,
        4.738591448727818,
        4.738611476197884,
        4.738631026823425,
        4.738651054293491,
        4.738670604919033,
        4.738690632389099,
        4.73871018301464,
        4.738730210484707,
        4.738749761110248,
        4.738769788580314,
        4.738789339205856,
        4.738809366675922,
        4.738828917301463,
        4.738848944771529,
        4.738868495397071,
        4.738888522867137,
        4.738908073492679,
        4.738928100962745,
        4.738947651588286,
        4.738967202213828,
        4.738987229683894,
        4.739006780309435,
        4.739026807779501,
        4.739046358405043,
        4.739066385875109,
        4.73908593650065,
        4.739105487126191,
        4.739125514596258,
        4.739145065221799,
        4.739165092691866,
        4.739184643317406,
        4.739204670787473,
        4.739224221413014,
        4.739243772038555,
        4.739263799508621,
        4.739283350134163,
        4.739302900759704,
        4.73932292822977,
        4.739342478855312,
        4.739362506325378,
        4.7393820569509195,
        4.73940160757646,
        4.739421635046527,
        4.739441185672068,
        4.739460736297609,
        4.739480763767675,
        4.739500314393217,
        4.739520341863283,
        4.739539892488824,
        4.7395594431143655,
        4.739579470584432,
        4.739599021209973,
        4.739618571835514,
        4.7396385993055805,
        4.739658149931121,
        4.739677700556663,
        4.739697728026729,
        4.73971727865227,
        4.7397368292778115,
        4.739756379903352,
        4.739776407373419,
        4.73979595799896,
        4.739815508624501,
        4.739835536094568,
        4.739855086720109,
        4.73987463734565,
        4.739894664815717,
        4.7399142154412575,
        4.739933766066799,
        4.73995331669234,
        4.739973344162406,
        4.739992894787948,
        4.740012445413488,
        4.74003199603903,
        4.740052023509096,
        4.740071574134637,
        4.740091124760179,
        4.740110675385719,
        4.740130702855786,
        4.740150253481327,
        4.740169804106868,
        4.74018935473241,
        4.740209382202476,
        4.740228932828017,
        4.740248483453558,
        4.740268034079099,
        4.740288061549165,
        4.740307612174707,
        4.740327162800248,
        4.740346713425789,
        4.74036626405133,
        4.740386291521396,
        4.740405842146938,
        4.740425392772479,
        4.74044494339802,
        4.740464494023561,
        4.740484521493627,
        4.740504072119169,
        4.74052362274471,
        4.740543173370251,
        4.740562723995792,
        4.740582274621333,
        4.7406023020914,
        4.740621852716941,
        4.740641403342482,
        4.740660953968023,
        4.740680504593564,
        4.740700055219105,
        4.7407200826891716,
        4.740739633314712,
        4.740759183940254,
        4.740778734565795,
        4.740798285191336,
        4.740817835816877,
        4.7408373864424185,
        4.740856937067959,
        4.7408769645380255,
        4.740896515163567,
        4.740916065789108,
        4.7409356164146494,
        4.74095516704019,
        4.740974717665732,
        4.7409942682912725,
        4.741013818916814,
        4.741033369542355,
        4.7410529201678955,
        4.741072947637963,
        4.741092498263503,
        4.741112048889044,
        4.741131599514586,
        4.7411511501401264,
        4.741170700765668,
        4.741190251391209,
        4.74120980201675,
        4.741229352642291,
        4.741248903267833,
        4.741268453893373,
        4.741288004518915,
        4.741307555144456,
        4.741327105769996,
        4.741346656395538,
        4.741366207021079,
        4.74138575764662,
        4.741405785116687,
        4.741425335742227,
        4.741444886367769,
        4.74146443699331,
        4.741483987618851,
        4.741503538244392,
        4.741523088869934,
        4.741542639495474,
        4.741562190121016,
        4.741581740746557,
        4.741601291372097,
        4.741620841997639,
        4.74164039262318,
        4.741659943248721,
        4.741679493874262,
        4.7416990444998035,
        4.741718118280819,
        4.74173766890636,
        4.741757219531901,
        4.7417767701574425,
        4.741796320782983,
        4.741815871408525,
        4.7418354220340655,
        4.741854972659607,
        4.741874523285148,
        4.7418940739106885,
        4.74191362453623,
        4.741933175161771,
        4.741952725787312,
        4.741972276412853,
        4.741991827038395,
        4.742011377663935,
        4.742030928289477,
        4.742050478915018,
        4.742069552696034,
        4.742089103321574,
        4.742108653947116,
        4.742128204572657,
        4.742147755198198,
        4.742167305823739,
        4.742186856449281,
        4.742206407074821,
        4.742225957700362,
        4.742245508325904,
        4.74226458210692,
        4.74228413273246,
        4.742303683358001,
        4.742323233983543,
        4.742342784609083,
        4.742362335234625,
        4.742381885860166,
        4.742400959641182,
        4.742420510266722,
        4.742440060892264,
        4.742459611517805,
        4.742479162143346,
        4.742498712768887,
        4.7425182633944285,
        4.742537337175444,
        4.742556887800985,
        4.742576438426526,
        4.7425959890520675,
        4.742615539677608,
        4.742634613458624,
        4.742654164084165,
        4.7426737147097064,
        4.742693265335247,
        4.742712815960789,
        4.7427323665863295,
        4.742751440367345,
        4.742770990992886,
        4.742790541618428,
        4.742810092243968,
        4.742829166024984,
        4.742848716650525,
        4.742868267276067,
        4.742887817901607,
        4.742907368527149,
        4.742926442308165,
        4.742945992933706,
        4.742965543559246,
        4.742985094184788,
        4.743004167965804,
        4.743023718591345,
        4.743043269216886,
        4.743062819842427,
        4.743081893623443,
        4.743101444248984,
        4.743120994874525,
        4.743140545500066,
        4.743159619281082,
        4.743179169906623,
        4.743198720532164,
        4.743217794313179,
        4.743237344938721,
        4.7432568955642616,
        4.743276446189803,
        4.743295519970819,
        4.74331507059636,
        4.7433346212219005,
        4.7433536950029165,
        4.743373245628458,
        4.743392796253999,
        4.743411870035015,
        4.7434314206605555,
        4.743450971286097,
        4.743470045067112,
        4.743489595692654,
        4.743509146318194,
        4.74352822009921,
        4.743547770724752,
        4.743567321350293,
        4.743586395131309,
        4.743605945756849,
        4.743625496382391,
        4.743644570163406,
        4.743664120788948,
        4.743683671414488,
        4.743702745195504,
        4.743722295821045,
        4.743741846446587,
        4.7437609202276025,
        4.743780470853143,
        4.743799544634159,
        4.7438190952597,
        4.7438386458852415,
        4.743857719666257,
        4.743877270291798,
        4.743896344072814,
        4.743915894698355,
        4.7439354453238956,
        4.7439545191049115,
        4.743974069730453,
        4.743993143511468,
        4.74401269413701,
        4.7440322447625505,
        4.744051318543566,
        4.744070869169107,
        4.744089942950123,
        4.744109493575665,
        4.74412856735668,
        4.744148117982221,
        4.744167668607762,
        4.744186742388778,
        4.744206293014319,
        4.744225366795335,
        4.744244917420876,
        4.744263991201891,
        4.744283541827433,
        4.744302615608449,
        4.74432216623399,
        4.744341240015006,
        4.744360790640546,
        4.744379864421562,
        4.744399415047103,
        4.744418488828119,
        4.7444380394536605,
        4.744457113234676,
        4.744476663860217,
        4.744495737641232,
        4.744515288266774,
        4.74453436204779,
        4.7445539126733305,
        4.744572986454346,
        4.744592537079887,
        4.744611610860903,
        4.744631161486444,
        4.74465023526746,
        4.744669785893001,
        4.744688859674016,
        4.744708410299558,
        4.744727484080574,
        4.744747034706115,
        4.744766108487131,
        4.744785659112671,
        4.744804732893687,
        4.744823806674703,
        4.744843357300244,
        4.74486243108126,
        4.744881981706801,
        4.744901055487817,
        4.744920606113357,
        4.744939679894373,
        4.744958753675389,
        4.74497830430093,
        4.744997378081946,
        4.7450169287074875,
        4.7450360024885025,
        4.745055553114044,
        4.745074626895059,
        4.745093700676075,
        4.745113251301617,
        4.745132325082632,
        4.745286345864334,
        4.74530541964535,
        4.745324970270891,
        4.745344044051906,
        4.745363594677448,
        4.745382668458463,
        4.745401742239479,
        4.745421292865021,
        4.745440366646036,
        4.745459440427052,
        4.745478991052593,
        4.745498064833608,
        4.745517138614624,
        4.745536689240166,
        4.745555763021181,
        4.745574836802197,
        4.7455943874277375,
        4.7456134612087535,
        4.7456325349897694,
        4.745651608770785,
        4.745671159396326,
        4.745690233177342,
        4.745709306958358,
        4.745728857583899,
        4.745747931364915,
        4.74576700514593,
        4.745786078926946,
        4.745805629552487,
        4.745824703333502,
        4.745843777114518,
        4.74586332774006,
        4.745882401521075,
        4.745901475302091,
        4.745920549083107,
        4.745940099708648,
        4.745959173489664,
        4.7459782472706795,
        4.745997321051695,
        4.746016871677236,
        4.746035945458252,
        4.746055019239267,
        4.746074093020283,
        4.746093643645824,
        4.74611271742684,
        4.746131791207856,
        4.746150864988872,
        4.746169938769887,
        4.746189489395428,
        4.746208563176444,
        4.746227636957459,
        4.746246710738475,
        4.746265784519491,
        4.746285335145032,
        4.746304408926048,
        4.746323482707064,
        4.746342556488079,
        4.746361630269095,
        4.746381180894637,
        4.746400254675652,
        4.746419328456668,
        4.7464384022376835,
        4.7464574760186995,
        4.746476549799715,
        4.746496100425256,
        4.746515174206271,
        4.746534247987287,
        4.746553321768303,
        4.746572395549319,
        4.746591469330334,
        4.74661054311135,
        4.746630093736892,
        4.746649167517907,
        4.746668241298923,
        4.746687315079939,
        4.746706388860954,
        4.74672546264197,
        4.746744536422986,
        4.746763610204002,
        4.746783160829542,
        4.746802234610558,
        4.746821308391574,
        4.746840382172589,
        4.746859455953605,
        4.746878529734621,
        4.746897603515637,
        4.746916677296652,
        4.746935751077668,
        4.746954824858684,
        4.746973898639699,
        4.746993449265241,
        4.747012523046257,
        4.747031596827272,
        4.747050670608288,
        4.747069744389304,
        4.74708881817032,
        4.747107891951335,
        4.747126965732351,
        4.747146039513367,
        4.747165113294382,
        4.747184187075398,
        4.747203260856414,
        4.74722233463743,
        4.747241408418445,
        4.747260482199461,
        4.747279555980477,
        4.7472986297614925,
        4.747317703542508,
        4.7473367773235235,
        4.7473558511045395,
        4.7473749248855555,
        4.7473939986665705,
        4.7474130724475865,
        4.747432146228602,
        4.7474512200096175,
        4.7474702937906335,
        4.747489367571649,
        4.747508441352665,
        4.74752751513368,
        4.747546588914696,
        4.747565662695712,
        4.747584736476728,
        4.747603810257743,
        4.747622884038759,
        4.747641957819775,
        4.74766103160079,
        4.747680105381806,
        4.747699179162822,
        4.747718252943838,
        4.747737326724853,
        4.747756400505869,
        4.747775474286885,
        4.747794548067901,
        4.747813621848916,
        4.747832695629932,
        4.747851769410948,
        4.747870366347438,
        4.747889440128454,
        4.747908513909469,
        4.747927587690485,
        4.747946661471501,
        4.747965735252516,
        4.747984809033532,
        4.748003882814548,
        4.748022956595564,
        4.748042030376579,
        4.748061104157595,
        4.748079701094086,
        4.748098774875102,
        4.7481178486561175,
        4.748136922437133,
        4.7481559962181485,
        4.7481750699991645,
        4.7481941437801805,
        4.7482132175611955,
        4.748231814497686,
        4.748250888278702,
        4.748269962059718,
        4.748289035840733,
        4.748308109621749,
        4.748327183402765,
        4.748346257183781,
        4.748364854120271,
        4.748383927901286,
        4.748403001682302,
        4.748422075463318,
        4.748441149244334,
        4.748460223025349,
        4.748478819961839,
        4.748497893742855,
        4.748516967523871,
        4.748536041304887,
        4.748555115085902,
        4.7485737120223925,
        4.7485927858034085,
        4.748611859584424,
        4.7486309333654395,
        4.7486500071464555,
        4.748668604082946,
        4.748687677863962,
        4.748706751644978,
        4.748725825425993,
        4.748744899207009,
        4.748763496143499,
        4.748782569924515,
        4.748801643705531,
        4.748820717486546,
        4.748839314423036,
        4.748858388204052,
        4.748877461985068,
        4.748896535766084,
        4.7489151327025745,
        4.7489342064835895,
        4.7489532802646055,
        4.7489723540456215,
        4.748990950982112,
        4.749010024763128,
        4.749029098544143,
        4.749048172325159,
        4.749066769261649,
        4.749085843042665,
        4.74910491682368,
        4.749123990604696,
        4.749142587541186,
        4.749161661322202,
        4.749180735103218,
        4.749199332039709,
        4.749218405820724,
        4.74923747960174,
        4.74925607653823,
        4.749275150319246,
        4.749294224100262,
        4.749312821036752,
        4.749331894817767,
        4.749350968598783,
        4.749370042379799,
        4.749388639316289,
        4.749407713097305,
        4.74942678687832,
        4.749445383814811,
        4.749464457595827,
        4.749483054532317,
        4.749502128313333,
        4.749521202094349,
        4.749539799030839,
        4.749558872811854,
        4.74957794659287,
        4.749596543529361,
        4.7496156173103765,
        4.7496346910913925,
        4.749653288027883,
        4.749672361808898,
        4.749690958745388,
        4.749710032526404,
        4.74972910630742,
        4.74974770324391,
        4.7497667770249254,
        4.749785850805941,
        4.749804447742432,
        4.749823521523448,
        4.749842118459938,
        4.749861192240954,
        4.749879789177444,
        4.749898862958459,
        4.749917936739475,
        4.749936533675966,
        4.7499556074569815,
        4.749974204393472,
        4.749993278174488,
        4.750011875110978,
        4.750030948891993,
        4.750050022673009,
        4.750068619609499,
        4.750087693390515,
        4.750106290327006,
        4.750125364108022,
        4.750143961044512,
        4.750163034825527,
        4.750181631762017,
        4.750200705543033,
        4.750219302479524,
        4.75023837626054,
        4.7502574500415555,
        4.750276046978046,
        4.750295120759061,
        4.750313717695551,
        4.750332791476567,
        4.7503513884130575,
        4.750370462194073,
        4.750389059130564,
        4.75040813291158,
        4.75042672984807,
        4.750445803629085,
        4.750464400565575,
        4.750483474346591,
        4.750502071283082,
        4.750521145064098,
        4.750539742000588,
        4.750558338937078,
        4.750577412718094,
        4.7505960096545845,
        4.7506150834356,
        4.75063368037209,
        4.750652754153106,
        4.750671351089596,
        4.750690424870612,
        4.750709021807102,
        4.750728095588118,
        4.750746692524609,
        4.750765289461099,
        4.750784363242114,
        4.750802960178604,
        4.75082203395962,
        4.750840630896111,
        4.750859704677127,
        4.750878301613617,
        4.750896898550107,
        4.750915972331123,
        4.7509345692676135,
        4.7509536430486285,
        4.750972239985119,
        4.750990836921609,
        4.751009910702625,
        4.751028507639115,
        4.751047581420131,
        4.751066178356622,
        4.751084775293112,
        4.751103849074128,
        4.751122446010618,
        4.751141519791633,
        4.751160116728124,
        4.751178713664614,
        4.75119778744563,
        4.75121638438212,
        4.7512349813186106,
        4.7512540550996265,
        4.751272652036117,
        4.751291248972607,
        4.751310322753623,
        4.751328919690113,
        4.751347516626604,
        4.751366590407619,
        4.751385187344109,
        4.751403784280599,
        4.751422858061615,
        4.751441454998106,
        4.751460051934596,
        4.751479125715612,
        4.751497722652102,
        4.7515163195885926,
        4.7515353933696085,
        4.751553990306099,
        4.751572587242589,
        4.751591661023604,
        4.7516102579600945,
        4.751628854896585,
        4.751647451833075,
        4.751666525614091,
        4.751685122550581,
        4.751703719487072,
        4.751722793268088,
        4.751741390204578,
        4.751759987141068,
        4.751778584077559,
        4.7517976578585746,
        4.751816254795065,
        4.751834851731555,
        4.7518534486680455,
        4.7518725224490606,
        4.751891119385551,
        4.751909716322041,
        4.7519283132585315,
        4.751947387039547,
        4.751965983976038,
        4.751984580912528,
        4.752003177849018,
        4.752022251630034,
        4.752040848566525,
        4.752059445503015,
        4.752078042439505,
        4.752096639375996,
        4.7521157131570115,
        4.752134310093502,
        4.752152907029992,
        4.7521715039664825,
        4.752190577747498,
        4.752209174683989,
        4.752227771620479,
        4.752246368556969,
        4.75226496549346,
        4.75228356242995,
        4.752302636210965,
        4.752321233147455,
        4.752339830083946,
        4.752358427020436,
        4.752377023956926,
        4.752395620893417,
        4.752414694674433,
        4.752433291610923,
        4.752451888547413,
        4.7524704854839035,
        4.752489082420394,
        4.752507679356884,
        4.7525267531379,
        4.75254535007439,
        4.752563947010881,
        4.752582543947371,
        4.752601140883861,
        4.752619737820352,
        4.752638334756842,
        4.752656931693332,
        4.752676005474348,
        4.7526946024108385,
        4.752713199347329,
        4.752731796283819,
        4.7527503932203095,
        4.7527689901568,
        4.75278758709329,
        4.75280618402978,
        4.752824780966271,
        4.752843377902761,
        4.752862451683777,
        4.752881048620267,
        4.752899645556758,
        4.752918242493248,
        4.752936839429738,
        4.7529554363662285,
        4.752974033302719,
        4.752992630239209,
        4.7530112271756995,
        4.75302982411219,
        4.75304842104868,
        4.75306701798517,
        4.753085614921661,
        4.753104211858151,
        4.753122808794641,
        4.753141405731132,
        4.753160479512148,
        4.753179076448638,
        4.753197673385128,
        4.7532162703216185,
        4.753234867258109,
        4.753253464194599,
        4.7532720611310895,
        4.75329065806758,
        4.75330925500407,
        4.75332785194056,
        4.753346448877051,
        4.753365045813541,
        4.753383642750031,
        4.753402239686522,
        4.753420836623012,
        4.753439433559502,
        4.753458030495993,
        4.753476627432483,
        4.753495224368973,
        4.7535138213054635,
        4.753532418241954,
        4.753551015178444,
        4.7535696121149345,
        4.753588209051425,
        4.753606329143389,
        4.75362492607988,
        4.75364352301637,
        4.75366211995286,
        4.753680716889351,
        4.753699313825841,
        4.753717910762331,
        4.753736507698822,
        4.753755104635312,
        4.753773701571802,
        4.7537922985082925,
        4.753810895444783,
        4.753829492381273,
        4.7538480893177635,
        4.753866686254254,
        4.753885283190744,
        4.75390340328271,
        4.7539220002192,
        4.75394059715569,
        4.753959194092181,
        4.753977791028671,
        4.753996387965161,
        4.7540149849016515,
        4.754033581838142,
        4.754052178774632,
        4.754070298866597,
        4.754088895803087,
        4.7541074927395774,
        4.754126089676068,
        4.754144686612558,
        4.754163283549048,
        4.754181880485539,
        4.754200477422029,
        4.754218597513994,
        4.754237194450484,
        4.754255791386974,
        4.754274388323465,
        4.754292985259955,
        4.754311582196446,
        4.754330179132936,
        4.754348299224901,
        4.754366896161391,
        4.754385493097882,
        4.754404090034372,
        4.754422686970862,
        4.754441283907353,
        4.754459403999317,
        4.754478000935808,
        4.754496597872298,
        4.754515194808788,
        4.75466301661166,
        4.754681613548151,
        4.754700210484641,
        4.754718330576606,
        4.754736927513096,
        4.754755524449586,
        4.754774121386077,
        4.754792718322567,
        4.7548108384145324,
        4.754829435351023,
        4.754848032287513,
        4.754866629224003,
        4.754884749315968,
        4.754903346252458,
        4.754921943188949,
        4.754940540125439,
        4.754958660217404,
        4.754977257153894,
        4.754995854090384,
        4.75501397418235,
        4.75503257111884,
        4.7550511680553305,
        4.755069764991821,
        4.755087885083785,
        4.755106482020276,
        4.755125078956766,
        4.755143199048731,
        4.755161795985221,
        4.755180392921711,
        4.755198989858202,
        4.755217109950167,
        4.7552357068866575,
        4.755254303823148,
        4.7552724239151125,
        4.755291020851603,
        4.755309617788093,
        4.755327737880058,
        4.755346334816548,
        4.755364931753038,
        4.755383051845004,
        4.755401648781494,
        4.755420245717985,
        4.755438365809949,
        4.75545696274644,
        4.75547555968293,
        4.755493679774895,
        4.755512276711385,
        4.755530873647875,
        4.75554899373984,
        4.75556759067633,
        4.755585710768296,
        4.755604307704786,
        4.755622904641276,
        4.755641024733241,
        4.755659621669731,
        4.755678218606222,
        4.755696338698186,
        4.755714935634677,
        4.755733055726642,
        4.7557516526631325,
        4.755770249599623,
        4.7557883696915875,
        4.755806966628078,
        4.7558250867200424,
        4.755843683656533,
        4.755862280593023,
        4.755880400684989,
        4.755898997621479,
        4.755917117713444,
        4.755935714649934,
        4.755953834741899,
        4.755972431678389,
        4.755991028614879,
        4.756009148706845,
        4.756027745643335,
        4.7560458657353,
        4.75606446267179,
        4.756082582763755,
        4.756101179700245,
        4.756119299792211,
        4.756137896728701,
        4.756156493665191,
        4.756174613757156,
        4.756193210693646,
        4.756211330785611,
        4.756229927722101,
        4.756248047814066,
        4.756266644750557,
        4.756284764842522,
        4.756303361779012,
        4.756321481870977,
        4.756340078807467,
        4.756358198899432,
        4.756376795835922,
        4.7563949159278875,
        4.756413512864378,
        4.7564316329563425,
        4.756450229892833,
        4.7564683499847975,
        4.756486946921288,
        4.756505067013253,
        4.756523663949744,
        4.756541784041708,
        4.756560380978199,
        4.756578501070163,
        4.756596621162129,
        4.756615218098619,
        4.756633338190584,
        4.756651935127074,
        4.756670055219039,
        4.756688652155529,
        4.756706772247494,
        4.756725369183984,
        4.75674348927595,
        4.75676208621244,
        4.756780206304405,
        4.756798326396369,
        4.75681692333286,
        4.756835043424825,
        4.7568536403613155,
        4.75687176045328,
        4.756889880545245,
        4.756908477481735,
        4.756926597573701,
        4.756945194510191,
        4.756963314602156,
        4.756981911538646,
        4.757000031630611,
        4.757018151722576,
        4.757036748659067,
        4.757054868751031,
        4.757072988842996,
        4.757091585779486,
        4.757109705871451,
        4.757128302807941,
        4.757146422899907,
        4.757164542991871,
        4.757183139928362,
        4.757201260020326,
        4.757219380112292,
        4.757237977048782,
        4.757256097140747,
        4.757274217232712,
        4.757292814169202,
        4.7573109342611675,
        4.757329531197658,
        4.7573476512896224,
        4.757365771381587,
        4.757384368318077,
        4.757402488410042,
        4.757420608502008,
        4.757439205438498,
        4.757457325530463,
        4.757475445622427,
        4.757493565714393,
        4.757512162650883,
        4.757530282742848,
        4.7575484028348125,
        4.757566999771303,
        4.757585119863268,
        4.757603239955233,
        4.757621836891723,
        4.757639956983688,
        4.757658077075653,
        4.757676197167618,
        4.757694794104109,
        4.757712914196073,
        4.757731034288038,
        4.757749631224528,
        4.757767751316494,
        4.757785871408458,
        4.757803991500423,
        4.757822588436913,
        4.757840708528879,
        4.757858828620844,
        4.757876948712808,
        4.757895545649299,
        4.757913665741263,
        4.757931785833229,
        4.7579499059251935,
        4.757968502861684,
        4.7579866229536485,
        4.758004743045614,
        4.758022863137579,
        4.758041460074069,
        4.758059580166034,
        4.758077700257999,
        4.758095820349964,
        4.758113940441929,
        4.758132537378419,
        4.758150657470384,
        4.758168777562349,
        4.758186897654314,
        4.7582050177462785,
        4.758223614682769,
        4.758241734774734,
        4.758259854866699,
        4.758277974958664,
        4.758296095050629,
        4.7583146919871195,
        4.758332812079084,
        4.758350932171049,
        4.7583690522630135,
        4.758387172354979,
        4.758405292446944,
        4.758423889383434,
        4.758442009475399,
        4.758460129567364,
        4.758478249659329,
        4.758496369751294,
        4.758514489843259,
        4.758532609935224,
        4.758551206871714,
        4.758569326963679,
        4.7585874470556435,
        4.758605567147609,
        4.758623687239574,
        4.758641807331538,
        4.758659927423504,
        4.758678047515469,
        4.758696644451959,
        4.758714764543924,
        4.758732884635889,
        4.758751004727854,
        4.7587691248198185,
        4.758787244911783,
        4.758805365003749,
        4.758823485095713,
        4.758841605187678,
        4.758859725279644,
        4.758878322216134,
        4.758896442308099,
        4.758914562400063,
        4.758932682492028,
        4.7589508025839935,
        4.758968922675958,
        4.758987042767923,
        4.759005162859888,
        4.759023282951853,
        4.759041403043818,
        4.759059523135783,
        4.759077643227748,
        4.759095763319713,
        4.759113883411677,
        4.759132003503643,
        4.759150600440133,
        4.759168720532098,
        4.7591868406240625,
        4.759204960716028,
        4.759223080807993,
        4.759241200899957,
        4.759259320991922,
        4.759277441083888,
        4.759295561175852,
        4.759313681267817,
        4.7593318013597825,
        4.759349921451747,
        4.759368041543712,
        4.759386161635677,
        4.759404281727642,
        4.759422401819607,
        4.759440521911571,
        4.759458642003537,
        4.759476762095502,
        4.759494882187466,
        4.759513002279432,
        4.7595311223713965,
        4.759549242463361,
        4.759567362555327,
        4.759585482647291,
        4.759603602739256,
        4.759621722831221,
        4.759639366078661,
        4.759657486170625,
        4.759675606262591,
        4.759693726354556,
        4.75971184644652,
        4.759729966538485,
        4.7597480866304505,
        4.759766206722415,
        4.75978432681438,
        4.759802446906345,
        4.75982056699831,
        4.759838687090275,
        4.75985680718224,
        4.759874927274205,
        4.75989304736617,
        4.759911167458134,
        4.759928810705574,
        4.759946930797539,
        4.759965050889504,
        4.759983170981469,
        4.760001291073434,
        4.760019411165398,
        4.760037531257364,
        4.760055651349329,
        4.760073771441293,
        4.760091891533259,
        4.760109534780698,
        4.760127654872663,
        4.760145774964628,
        4.760163895056593,
        4.760182015148557,
        4.760200135240523,
        4.760218255332488,
        4.760236375424452,
        4.760254018671892,
        4.760272138763857,
        4.760290258855822,
        4.760308378947787,
        4.760326499039752,
        4.7603446191317165,
        4.760362262379156,
        4.760380382471121,
        4.760398502563086,
        4.760416622655051,
        4.760434742747016,
        4.760452862838981,
        4.7604705060864205,
        4.760488626178385,
        4.760506746270351,
        4.760524866362315,
        4.76054298645428,
        4.760561106546245,
        4.760578749793685,
        4.760596869885649,
        4.760614989977615,
        4.76063311006958,
        4.760651230161544,
        4.760668873408984,
        4.760686993500949,
        4.7607051135929135,
        4.760723233684879,
        4.760740876932318,
        4.760758997024284,
        4.760777117116248,
        4.760795237208213,
        4.760813357300178,
        4.7608310005476175,
        4.760849120639582,
        4.760867240731548,
        4.760885360823512,
        4.7609030040709515,
        4.760921124162917,
        4.760939244254882,
        4.760957364346846,
        4.761029367870181,
        4.76104701111762,
        4.761065131209586,
        4.76108325130155,
        4.76110089454899,
        4.761119014640955,
        4.76113713473292,
        4.761155254824884,
        4.761172898072324,
        4.761191018164289,
        4.7612091382562545,
        4.7612267815036935,
        4.761244901595658,
        4.761263021687624,
        4.761280664935063,
        4.761298785027028,
        4.761316905118993,
        4.761335025210958,
        4.7613526684583976,
        4.761370788550362,
        4.761388908642327,
        4.761406551889767,
        4.7614246719817315,
        4.761442792073697,
        4.761460435321136,
        4.761478555413101,
        4.761496675505066,
        4.761514318752505,
        4.761532438844471,
        4.7615505589364355,
        4.7615682021838746,
        4.76158632227584,
        4.761603965523279,
        4.761622085615245,
        4.761640205707209,
        4.761657848954649,
        4.761675969046614,
        4.761694089138579,
        4.7617117323860185,
        4.761729852477983,
        4.761747495725423,
        4.761765615817388,
        4.761783735909352,
        4.761801379156792,
        4.761819499248757,
        4.761837142496197,
        4.761855262588162,
        4.761873382680126,
        4.761891025927566,
        4.761909146019531,
        4.761926789266971,
        4.761944909358935,
        4.7619630294509,
        4.76198067269834,
        4.761998792790305,
        4.762016436037745,
        4.762034556129709,
        4.762052199377149,
        4.762070319469114,
        4.7620884395610785,
        4.762106082808518,
        4.762124202900483,
        4.762141846147923,
        4.762159966239888,
        4.762177609487327,
        4.762195729579292,
        4.762213372826731,
        4.762231492918697,
        4.762249136166136,
        4.7622672562581005,
        4.762285376350066,
        4.762303019597505,
        4.762321139689471,
        4.76233878293691,
        4.762356903028875,
        4.762374546276314,
        4.762392666368279,
        4.762410309615719,
        4.7624284297076835,
        4.7624460729551235,
        4.762464193047088,
        4.762481836294528,
        4.762499956386493,
        4.762517599633933,
        4.762535719725897,
        4.762553362973336,
        4.762571483065302,
        4.762589126312741,
        4.762606769560181,
        4.7626248896521455,
        4.762642532899585,
        4.76266065299155,
        4.76267829623899,
        4.762696416330955,
        4.764743271456204,
        4.766969420123001,
        4.766990401282118,
        4.76701185928576,
        4.767032840444878,
        4.76705429844852,
        4.767075279607638,
        4.76709673761128,
        4.767118195614923,
        4.76713917677404,
        4.767160634777683,
        4.7671816159368,
        4.767203073940443,
        4.76722405509956,
        4.7672455131032025,
        4.76726649426232,
        4.767287952265963,
        4.76730893342508,
        4.767330391428723,
        4.76735137258784,
        4.767372830591483,
        4.7673938117506,
        4.767415269754243,
        4.76743625091336,
        4.767457708917003,
        4.76747869007612,
        4.767500148079763,
        4.76752112923888,
        4.767542110397997,
        4.76756356840164,
        4.767584549560757,
        4.7676060075644,
        4.767626988723517,
        4.76764844672716,
        4.767669427886277,
        4.76769088588992,
        4.767711867049037,
        4.767732848208155,
        4.767754306211797,
        4.767775287370914,
        4.767796745374557,
        4.767817726533674,
        4.767839184537317,
        4.767860165696434,
        4.767881146855552,
        4.767923586018312,
        4.768008464343832,
        4.768029445502949,
        4.768050426662066,
        4.768071884665709,
        4.768092865824826,
        4.768114323828469,
        4.768135304987586,
        4.768156286146703,
        4.768177744150346,
        4.768198725309463,
        4.768219706468581,
        4.768241164472223,
        4.768262145631341,
        4.7682831267904575,
        4.768304584794101,
        4.7683255659532175,
        4.768346547112335,
        4.768368005115978,
        4.768388986275095,
        4.768409967434213,
        4.768431425437855,
        4.768452406596972,
        4.76847338775609,
        4.768494368915207,
        4.76851582691885,
        4.768536808077967,
        4.768557789237084,
        4.768579247240727,
        4.768600228399844,
        4.768621209558962,
        4.7686421907180785,
        4.768663648721722,
        4.7686846298808385,
        4.768705611039956,
        4.7687270690435986,
        4.768748050202716,
        4.768769031361833,
        4.768790012520951,
        4.768811470524593,
        4.768832451683711,
        4.768853432842828,
        4.768874414001945,
        4.768895395161063,
        4.768916853164705,
        4.768937834323823,
        4.768958815482939,
        4.768979796642057,
        4.7690012546456995,
        4.769022235804817,
        4.769043216963934,
        4.7690641981230515,
        4.769085179282169,
        4.7691066372858115,
        4.769127618444929,
        4.769148599604046,
        4.7691695807631636,
        4.76919056192228,
        4.769211543081398,
        4.76923300108504,
        4.769253982244158,
        4.769274963403275,
        4.769295944562392,
        4.76931692572151,
        4.769337906880627,
        4.76935936488427,
        4.769380346043387,
        4.769401327202504,
        4.769422308361621,
        4.769443289520739,
        4.7694642706798565,
        4.769485251838973,
        4.769506232998091,
        4.769527691001733,
        4.769548672160851,
        4.769569653319968,
        4.769590634479085,
        4.769611615638203,
        4.76963259679732,
        4.769653577956437,
        4.769674559115554,
        4.769695540274672,
        4.769716521433789,
        4.769737979437432,
        4.769758960596549,
        4.769779941755666,
        4.769800922914784,
        4.7698219040739005,
        4.769842885233018,
        4.769863866392136,
        4.7698848475512525,
        4.76990582871037,
        4.769926809869487,
        4.7699477910286046,
        4.769968772187722,
        4.769989753346839,
        4.770010734505957,
        4.770031715665073,
        4.770052696824191,
        4.770073677983309,
        4.770094659142425,
        4.770115640301543,
        4.77013662146066,
        4.770157602619777,
        4.770178583778895,
        4.770199564938012,
        4.770220546097129,
        4.770241527256246,
        4.770262508415364,
        4.7702834895744815,
        4.770304470733598,
        4.770325451892716,
        4.770346433051833,
        4.77036741421095,
        4.770388395370068,
        4.770409376529185,
        4.770430357688302,
        4.77045133884742,
        4.770472320006537,
        4.770493301165654,
        4.770514282324771,
        4.770535263483889,
        4.770556244643006,
        4.770577225802123,
        4.770598206961241,
        4.7706191881203575,
        4.770640169279475,
        4.770661150438593,
        4.770681654753184,
        4.7707026359123015,
        4.770723617071419,
        4.770744598230536,
        4.7707655793896535,
        4.77078656054877,
        4.770807541707888,
        4.7708285228670055,
        4.770849504026122,
        4.77087048518524,
        4.770890989499832,
        4.770911970658949,
        4.770932951818066,
        4.770953932977184,
        4.770974914136301,
        4.770995895295418,
        4.771016876454535,
        4.771037380769127,
        4.771058361928245,
        4.771079343087362,
        4.771100324246479,
        4.771121305405597,
        4.7711422865647135,
        4.771163267723831,
        4.771183772038423,
        4.77120475319754,
        4.7712257343566575,
        4.771246715515775,
        4.771267696674892,
        4.771288200989484,
        4.771309182148602,
        4.771330163307718,
        4.771351144466836,
        4.771372125625954,
        4.771392629940545,
        4.771413611099662,
        4.77143459225878,
        4.771455573417897,
        4.771476554577014,
        4.771497058891606,
        4.771518040050723,
        4.771539021209841,
        4.771560002368958,
        4.7715805066835495,
        4.771601487842667,
        4.771622469001785,
        4.7716434501609015,
        4.7716639544754935,
        4.771684935634611,
        4.771705916793728,
        4.7717268979528455,
        4.7717474022674375,
        4.771768383426554,
        4.771789364585672,
        4.77181034574479,
        4.771830850059382,
        4.771851831218498,
        4.771872812377616,
        4.771893316692208,
        4.771914297851325,
        4.771935279010442,
        4.771956260169559,
        4.771976764484151,
        4.771997745643269,
        4.772018726802386,
        4.7720392311169775,
        4.772060212276095,
        4.772081193435213,
        4.772101697749805,
        4.7721226789089215,
        4.772143660068039,
        4.772164164382631,
        4.772185145541748,
        4.7722061267008655,
        4.7722266310154575,
        4.772247612174574,
        4.772268593333692,
        4.772289097648284,
        4.772310078807401,
        4.772331059966518,
        4.77235156428111,
        4.772372545440228,
        4.772393049754819,
        4.772414030913937,
        4.772435012073054,
        4.772455516387646,
        4.772476497546763,
        4.772497001861355,
        4.772517983020473,
        4.7725389641795894,
        4.7725594684941814,
        4.772580449653299,
        4.772600953967891,
        4.772621935127008,
        4.7726429162861255,
        4.7726634206007175,
        4.772684401759834,
        4.772704906074426,
        4.772725887233544,
        4.772746391548136,
        4.772767372707253,
        4.77278835386637,
        4.772808858180962,
        4.772829839340079,
        4.772850343654671,
        4.772871324813789,
        4.772891829128381,
        4.772912810287497,
        4.772933314602089,
        4.772954295761207,
        4.772974800075799,
        4.772995781234916,
        4.773016285549508,
        4.773037266708625,
        4.773057771023217,
        4.773078752182334,
        4.773099256496926,
        4.773120237656044,
        4.773140741970636,
        4.7731617231297525,
        4.7731822274443445,
        4.773203208603462,
        4.773223712918054,
        4.773244694077171,
        4.773265198391763,
        4.7732861795508805,
        4.7733066838654725,
        4.773327665024589,
        4.773348169339181,
        4.773369150498299,
        4.773389654812891,
        4.773410159127483,
        4.7734311402866,
        4.773451644601192,
        4.773472625760309,
        4.773493130074901,
        4.773514111234018,
        4.77353461554861,
        4.773555119863202,
        4.773576101022319,
        4.773700080598921,
        4.773721061758039,
        4.773741566072631,
        4.773762070387223,
        4.7737830515463395,
        4.7738035558609315,
        4.773824537020049,
        4.773845041334641,
        4.773865545649232,
        4.77388652680835,
        4.773907031122942,
        4.773927535437534,
        4.773948516596651,
        4.773969020911243,
        4.773989525225835,
        4.774010506384952,
        4.774031010699544,
        4.774051515014136,
        4.774072496173253,
        4.774093000487845,
        4.774113504802437,
        4.774134485961555,
        4.774154990276146,
        4.774175494590738,
        4.774196475749855,
        4.774216980064447,
        4.774237484379039,
        4.774258465538156,
        4.774278969852748,
        4.77429947416734,
        4.774319978481932,
        4.77434095964105,
        4.774361463955642,
        4.774381968270233,
        4.7744029494293505,
        4.7744234537439425,
        4.7744439580585345,
        4.7744644623731265,
        4.774485443532243,
        4.774505947846835,
        4.774526452161427,
        4.774546956476019,
        4.774567937635137,
        4.774588441949728,
        4.77460894626432,
        4.774629450578912,
        4.77465043173803,
        4.774670936052622,
        4.774691440367214,
        4.774711944681805,
        4.774732925840922,
        4.774753430155514,
        4.774773934470106,
        4.774794438784698,
        4.77481494309929,
        4.774835924258407,
        4.774856428572999,
        4.774876932887591,
        4.774897437202183,
        4.774917941516775,
        4.774938445831367,
        4.774959426990484,
        4.774979931305076,
        4.775000435619668,
        4.77502093993426,
        4.775041444248852,
        4.775061948563444,
        4.7750829297225605,
        4.7751034340371525,
        4.7751239383517445,
        4.7751444426663365,
        4.7751649469809285,
        4.7751854512955205,
        4.775206432454637,
        4.775226936769229,
        4.775247441083821,
        4.775267945398413,
        4.775288449713005,
        4.775308954027597,
        4.775329458342189,
        4.775349962656781,
        4.775370466971372,
        4.77539144813049,
        4.775411952445082,
        4.775432456759674,
        4.775452961074266,
        4.775473465388858,
        4.775493969703449,
        4.775514474018041,
        4.775534978332633,
        4.775555482647225,
        4.775575986961817,
        4.775596491276409,
        4.775616995591001,
        4.775637976750118,
        4.77565848106471,
        4.775678985379302,
        4.775699489693894,
        4.775719994008486,
        4.775740498323078,
        4.77576100263767,
        4.775781506952262,
        4.775802011266853,
        4.775822515581445,
        4.775843019896037,
        4.775863524210629,
        4.775884028525221,
        4.775904532839813,
        4.775925037154405,
        4.775945541468997,
        4.775966045783589,
        4.77598655009818,
        4.776007054412772,
        4.776027558727364,
        4.776048063041956,
        4.776068567356548,
        4.77608907167114,
        4.776109575985732,
        4.776130080300324,
        4.776150584614916,
        4.776171088929507,
        4.776191593244099,
        4.776212097558691,
        4.776232601873283,
        4.776253106187875,
        4.776273610502467,
        4.776294114817059,
        4.776314619131651,
        4.776334646601717,
        4.776355150916309,
        4.776375655230901,
        4.7763961595454925,
        4.7764166638600845,
        4.7764371681746765,
        4.7764576724892684,
        4.77647817680386,
        4.776498681118452,
        4.776519185433044,
        4.776539689747636,
        4.776560194062228,
        4.776580221532295,
        4.776600725846887,
        4.776621230161478,
        4.77664173447607,
        4.776662238790662,
        4.776682743105254,
        4.776703247419846,
        4.776723751734438,
        4.77674425604903,
        4.776764283519096,
        4.77680529214828,
        4.776866805092055,
        4.777050390234332,
        4.777070894548924,
        4.777091398863516,
        4.777111903178108,
        4.777131930648174,
        4.777152434962766,
        4.777172939277358,
        4.777193443591949,
        4.777213947906541,
        4.777233975376609,
        4.7772544796912,
        4.777274984005792,
        4.777295488320384,
        4.77731551579045,
        4.777336020105042,
        4.777356524419634,
        4.777377028734226,
        4.777397533048818,
        4.777417560518884,
        4.777438064833476,
        4.777458569148068,
        4.77747907346266,
        4.777499100932727,
        4.777519605247319,
        4.777540109561911,
        4.777560137031977,
        4.777580641346569,
        4.777601145661161,
        4.777621649975752,
        4.7776416774458195,
        4.7776621817604115,
        4.777682686075003,
        4.77770271354507,
        4.777723217859661,
        4.777743722174253,
        4.777764226488845,
        4.777784253958911,
        4.777804758273503,
        4.777825262588095,
        4.777845290058162,
        4.777865794372754,
        4.777886298687346,
        4.777906326157412,
        4.777926830472004,
        4.777947334786596,
        4.777967362256662,
        4.777987866571254,
        4.778008370885846,
        4.778028398355913,
        4.778048902670505,
        4.778069406985097,
        4.778089434455163,
        4.778109938769755,
        4.778129966239821,
        4.778150470554413,
        4.778170974869005,
        4.778191002339072,
        4.778211506653664,
        4.778232010968256,
        4.778252038438322,
        4.778272542752914,
        4.77829257022298,
        4.778313074537572,
        4.778333578852164,
        4.778353606322231,
        4.778374110636823,
        4.778394138106889,
        4.778414642421481,
        4.778434669891547,
        4.778455174206139,
        4.778475678520731,
        4.778495705990798,
        4.77851621030539,
        4.778536237775456,
        4.778556742090048,
        4.7785767695601145,
        4.7785972738747065,
        4.7786177781892984,
        4.778637805659365,
        4.778658309973957,
        4.778678337444023,
        4.778698841758615,
        4.7787188692286815,
        4.7787393735432735,
        4.77875940101334,
        4.778779905327932,
        4.778799932797998,
        4.77882043711259,
        4.7788404645826565,
        4.7788609688972485,
        4.778880996367315,
        4.778901500681907,
        4.778921528151974,
        4.778942032466565,
        4.7789620599366325,
        4.778982564251224,
        4.779002591721291,
        4.779023096035883,
        4.779043123505949,
        4.779063627820541,
        4.7790836552906075,
        4.7791041596051995,
        4.779124187075266,
        4.779144691389858,
        4.779164718859924,
        4.779184746329991,
        4.779205250644583,
        4.779225278114649,
        4.779245782429241,
        4.779265809899307,
        4.779286314213899,
        4.779306341683966,
        4.779326369154032,
        4.779346873468624,
        4.77936690093869,
        4.779387405253282,
        4.779407432723349,
        4.779427937037941,
        4.779447964508008,
        4.779467991978074,
        4.779488496292666,
        4.779508523762733,
        4.779529028077325,
        4.779549055547391,
        4.779569083017457,
        4.779589587332049,
        4.779609614802116,
        4.779629642272182,
        4.779650146586774,
        4.77967017405684,
        4.779690678371432,
        4.779710705841499,
        4.779730733311565,
        4.779751237626157,
        4.779771265096224,
        4.779791292566291,
        4.779811796880883,
        4.779831824350949,
        4.779851851821015,
        4.779872356135607,
        4.779892383605674,
        4.77991241107574,
        4.779932915390332,
        4.779952942860398,
        4.779972970330465,
        4.779993474645057,
        4.780013502115123,
        4.78003352958519,
        4.780053557055257,
        4.780074061369849,
        4.780094088839915,
        4.780114116309981,
        4.780134620624573,
        4.78015464809464,
        4.780174675564706,
        4.7801947030347725,
        4.7802152073493644,
        4.780235234819431,
        4.780255262289498,
        4.780275766604089,
        4.780295794074156,
        4.780315821544223,
        4.780335849014289,
        4.780356353328881,
        4.7803763807989474,
        4.780396408269014,
        4.78041643573908,
        4.780436463209147,
        4.7804569675237385,
        4.780476994993806,
        4.780497022463872,
        4.7805170499339384,
        4.78053755424853,
        4.780557581718597,
        4.780577609188663,
        4.7805976366587295,
        4.780617664128797,
        4.780638168443388,
        4.780658195913455,
        4.780678223383521,
        4.780698250853588,
        4.780718278323654,
        4.780738782638246,
        4.7807588101083125,
        4.780778837578379,
        4.780798865048445,
        4.780818892518512,
        4.780838919988579,
        4.780859424303171,
        4.780879451773237,
        4.7808994792433035,
        4.78091950671337,
        4.780939534183436,
        4.780959561653503,
        4.7809800659680946,
        4.781000093438162,
        4.781020120908228,
        4.7810401483782945,
        4.781060175848361,
        4.781080203318427,
        4.7811002307884936,
        4.781120258258561,
        4.781140762573152,
        4.781160790043219,
        4.7811808175132855,
        4.781200844983352,
        4.781220872453418,
        4.7812408999234846,
        4.781260927393551,
        4.781280954863618,
        4.7813009823336845,
        4.781321009803751,
        4.781341037273817,
        4.781361541588409,
        4.7813815690584756,
        4.781401596528542,
        4.781421623998609,
        4.7814416514686755,
        4.781461678938742,
        4.781481706408808,
        4.781501733878875,
        4.781521761348941,
        4.781541788819008,
        4.7815618162890745,
        4.781581843759141,
        4.781601871229207,
        4.781621898699274,
        4.78164192616934,
        4.781661953639407,
        4.7816819811094735,
        4.78170200857954,
        4.781722036049606,
        4.781742063519673,
        4.781762090989739,
        4.781782118459806,
        4.7818021459298725,
        4.781822173399939,
        4.781842200870005,
        4.781862228340072,
        4.781882255810138,
        4.781902283280205,
        4.7819223107502715,
        4.781942338220338,
        4.781962365690404,
        4.781982393160471,
        4.782002420630537,
        4.782022448100604,
        4.7820424755706705,
        4.782062503040737,
        4.782082530510803,
        4.78210255798087,
        4.782122585450936,
        4.782142612921003,
        4.7821626403910695,
        4.782182667861136,
        4.782202695331202,
        4.782222722801269,
        4.78224227342681,
        4.7822623008968765,
        4.782282328366943,
        4.782302355837009,
        4.782322383307076,
        4.782342410777143,
        4.782362438247209,
        4.7823824657172755,
        4.782402493187342,
        4.782422520657408,
        4.782442548127475,
        4.782462098753016,
        4.7824821262230826,
        4.782502153693149,
        4.782522181163215,
        4.7825422086332825,
        4.782562236103349,
        4.782582263573415,
        4.782602291043482,
        4.782621841669022,
        4.7826418691390895,
        4.782661896609156,
        4.782681924079222,
        4.782701951549289,
        4.782721979019355,
        4.7827415296448965,
        4.782761557114963,
        4.782781584585029,
        4.782801612055096,
        4.782821639525162,
        4.782841666995229,
        4.78286121762077,
        4.782881245090836,
        4.782901272560903,
        4.78292130003097,
        4.782941327501036,
        4.782960878126577,
        4.782980905596643,
        4.7830009330667105,
        4.783020960536777,
        4.783040988006843,
        4.783060538632384,
        4.78308056610245,
        4.7831005935725175,
        4.783120621042584,
        4.78314064851265,
        4.783160199138191,
        4.783180226608258,
        4.7832002540783245,
        4.783220281548391,
        4.783239832173932,
        4.783259859643999,
        4.783279887114065,
        4.7832999145841315,
        4.783319465209672,
        4.7833394926797395,
        4.783419125715479,
        4.7834391531855465,
        4.783458703811087,
        4.7834787312811535,
        4.78349875875122,
        4.783518786221287,
        4.783538336846828,
        4.783558364316894,
        4.7835783917869605,
        4.783597942412502,
        4.7836179698825685,
        4.783637997352635,
        4.783657547978176,
        4.783677575448243,
        4.783697602918309,
        4.78371715354385,
        4.783737181013917,
        4.7837572084839834,
        4.783776759109524,
        4.7837967865795905,
        4.783816814049658,
        4.7838363646751985,
        4.783856392145265,
        4.783876419615331,
        4.783895970240873,
        4.783915997710939,
        4.7839360251810055,
        4.783955575806547,
        4.783975603276613,
        4.783995153902154,
        4.7840151813722205,
        4.784035208842287,
        4.784054759467828,
        4.784074786937895,
        4.784094337563436,
        4.784114365033503,
        4.784134392503569,
        4.78415394312911,
        4.784173970599177,
        4.784193521224718,
        4.784213548694784,
        4.7842335761648505,
        4.784253126790392,
        4.784273154260458,
        4.78482772444349,
        4.784847275069032,
        4.784867302539098,
        4.784886853164639,
        4.78490640379018,
        4.784926431260247,
        4.784945981885787,
        4.784966009355855,
        4.784985559981395,
        4.785005587451462,
        4.785025138077003,
        4.78504516554707,
        4.78506471617261,
        4.785084743642677,
        4.785104294268218,
        4.785123844893759,
        4.785143872363826,
        4.785163422989367,
        4.785183450459433,
        4.785203001084975,
        4.785223028555041,
        4.785242579180582,
        4.7852621298061235,
        4.78528215727619,
        4.785301707901731,
        4.785321735371797,
        4.7853412859973385,
        4.785360836622879,
        4.7853808640929465,
        4.785400414718487,
        4.785419965344028,
        4.785439992814095,
        4.785459543439636,
        4.785479570909702,
        4.785499121535244,
        4.7855186721607845,
        4.785538699630851,
        4.7855582502563925,
        4.785577800881933,
        4.7855978283519995,
        4.785617378977541,
        4.785636929603082,
        4.785656957073148,
        4.78567650769869,
        4.7856960583242305,
        4.785716085794297,
        4.7857356364198385,
        4.785755187045379,
        4.785775214515446,
        4.785794765140987,
        4.785814315766528,
        4.785834343236595,
        4.785853893862136,
        4.785873444487677,
        4.785893471957744,
        4.785913022583284,
        4.785932573208826,
        4.785952123834367,
        4.785972151304433,
        4.785991701929975,
        4.786011252555515,
        4.786031280025582,
        4.786050830651123,
        4.786070381276664,
        4.786089931902206,
        4.786109959372272,
        4.786129509997813,
        4.786149060623354,
        4.786168611248895,
        4.786188638718961,
        4.786208189344503,
        4.786227739970044,
        4.786247290595585,
        4.786267318065652,
        4.786286868691192,
        4.786306419316734,
        4.786325969942275,
        4.786345997412341,
        4.786365548037883,
        4.786385098663423,
        4.786404649288965,
        4.786424199914506,
        4.786444227384572,
        4.786463778010114,
        4.786483328635654,
        4.786502879261196,
        4.786522429886737,
        4.786542457356803,
        4.7865620079823445,
        4.786581558607885,
        4.786601109233427,
        4.786620659858968,
        4.786640687329034,
        4.7866602379545755,
        4.786679788580116,
        4.786699339205658,
        4.7867188898311985,
        4.786738440456739,
        4.786757991082281,
        4.786778018552347,
        4.786797569177889,
        4.7868171198034295,
        4.78683667042897,
        4.786856221054512,
        4.7868757716800525,
        4.786895322305594,
        4.7869153497756605,
        4.786934900401201,
        4.786954451026743,
        4.7869740016522835,
        4.786993552277825,
        4.787013102903366,
        4.787032653528907,
        4.787052204154448,
        4.78707175477999,
        4.787091782250056,
        4.787111332875597,
        4.787130883501138,
        4.787150434126679,
        4.787169984752221,
        4.787189535377761,
        4.787209086003302,
        4.787228636628844,
        4.787248187254384,
        4.787267737879926,
        4.787287288505467,
        4.787306839131008,
        4.787326389756549,
        4.787346417226615,
        4.787365967852157,
        4.787385518477698,
        4.787405069103239,
        4.78742461972878,
        4.787444170354322,
        4.787463720979862,
        4.787483271605403,
        4.787502822230945,
        4.787522372856485,
        4.787541923482027,
        4.787561474107568,
        4.787581024733109,
        4.78760057535865,
        4.7876201259841915,
        4.787639676609732,
        4.787659227235274,
        4.7876787778608145,
        4.787698328486355,
        4.787717879111897,
        4.7877374297374375,
        4.787756980362979,
        4.78777653098852,
        4.7877960816140614,
        4.787815632239602,
        4.787835182865144,
        4.7878547334906845,
        4.787874284116225,
        4.787893834741767,
        4.7879133853673075,
        4.787932935992849,
        4.787952009773865,
        4.787971560399406,
        4.7879911110249465,
        4.788010661650488,
        4.788030212276029,
        4.78804976290157,
        4.788069313527111,
        4.788088864152653,
        4.788108414778193,
        4.788127965403735,
        4.788147516029276,
        4.788167066654816,
        4.788186617280358,
        4.788206167905899,
        4.788225241686915,
        4.788244792312456,
        4.788264342937997,
        4.788283893563538,
        4.788303444189079,
        4.78832299481462,
        4.788342545440162,
        4.788362096065702,
        4.788381646691244,
        4.788400720472259,
        4.7884202710978006,
        4.788439821723341,
        4.788459372348883,
        4.788478922974424,
        4.788498473599965,
        4.788518024225506,
        4.788537098006522,
        4.7885566486320625,
        4.788576199257604,
        4.788595749883145,
        4.7886153005086864,
        4.788634851134227,
        4.788653924915243,
        4.788673475540784,
        4.788693026166325,
        4.788712576791866,
        4.788732127417408,
        4.788751678042948,
        4.788770751823964,
        4.788790302449505,
        4.788809853075047,
        4.788829403700587,
        4.788848954326129,
        4.788868028107144,
        4.788887578732686,
        4.788907129358226,
        4.788926679983768,
        4.788945753764783,
        4.788965304390325,
        4.788984855015865,
        4.789004405641407,
        4.789023956266948,
        4.789043030047964,
        4.789062580673504,
        4.789082131299046,
        4.789101681924587,
        4.789120755705603,
        4.789140306331144,
        4.789159856956685,
        4.789179407582226,
        4.7891984813632416,
        4.789218031988783,
        4.789237582614324,
        4.7892571332398655,
        4.7892762070208805,
        4.789295757646422,
        4.789315308271963,
        4.789334382052979,
        4.7893539326785195,
        4.789373483304061,
        4.789393033929602,
        4.789412107710618,
        4.7894316583361585,
        4.7894512089617,
        4.789470282742716,
        4.789489833368257,
        4.789509383993797,
        4.789528457774813,
        4.789548008400355,
        4.789567559025896,
        4.789586632806912,
        4.789606183432452,
        4.789625734057994,
        4.789644807839009,
        4.789664358464551,
        4.789683909090091,
        4.789702982871107,
        4.789722533496649,
        4.78974208412219,
        4.789761157903206,
        4.789780708528746,
        4.789800259154288,
        4.789819332935303,
        4.7898388835608445,
        4.7898579573418605,
        4.789877507967401,
        4.789897058592942,
        4.789916132373958,
        4.7899356829994995,
        4.78995523362504,
        4.789974307406056,
        4.789993858031597,
        4.790012931812613,
        4.7900324824381535,
        4.790052033063695,
        4.790071106844711,
        4.790090657470252,
        4.790109731251268,
        4.790129281876808,
        4.790148355657824,
        4.790167906283365,
        4.790187456908907,
        4.790206530689923,
        4.790226081315463,
        4.790245155096479,
        4.79026470572202,
        4.790283779503036,
        4.790303330128577,
        4.790322403909593,
        4.790341954535134,
        4.790361505160675,
        4.790380578941691,
        4.790400129567232,
        4.790419203348248,
        4.790438753973788,
        4.790457827754804,
        4.790477378380346,
        4.790496452161361,
        4.7905160027869025,
        4.790535076567918,
        4.790554627193459,
        4.790573700974475,
        4.790593251600016,
        4.790844071820373,
        4.790863145601389,
        4.790882696226929,
        4.790901770007945,
        4.790921320633486,
        4.790940394414502,
        4.7909599450400435,
        4.790979018821059,
        4.7909985694466,
        4.791017643227615,
        4.791036717008631,
        4.791056267634173,
        4.791075341415188,
        4.7910948920407295,
        4.791113965821745,
        4.7911330396027605,
        4.791152590228302,
        4.791171664009317,
        4.791191214634859,
        4.791210288415875,
        4.79122936219689,
        4.791248912822431,
        4.791267986603447,
        4.791287537228988,
        4.791306611010004,
        4.791325684791019,
        4.791345235416561,
        4.791364309197577,
        4.791383382978592,
        4.791402933604133,
        4.791422007385149,
        4.79144155801069,
        4.791460631791706,
        4.791479705572721,
        4.791499256198263,
        4.7915183299792785,
        4.791537403760294,
        4.791556954385835,
        4.791576028166851,
        4.791595101947866,
        4.791614652573408,
        4.791633726354423,
        4.791652800135439,
        4.79167235076098,
        4.7916914245419955,
        4.791710498323011,
        4.791730048948553,
        4.791749122729568,
        4.791768196510584,
        4.7917872702916,
        4.791806820917141,
        4.791825894698157,
        4.791844968479173,
        4.791864519104713,
        4.791883592885729,
        4.791902666666745,
        4.79192174044776,
        4.791941291073302,
        4.791960364854318,
        4.791979438635333,
        4.791998512416349,
        4.79201806304189,
        4.7920371368229056,
        4.7920562106039215,
        4.792075761229462,
        4.792094835010478,
        4.792113908791494,
        4.79213298257251,
        4.792152056353525,
        4.792171606979067,
        4.792190680760082,
        4.792209754541098,
        4.792228828322114,
        4.792248378947654,
        4.79226745272867,
        4.792286526509686,
        4.792305600290702,
        4.792324674071717,
        4.792344224697259,
        4.792363298478274,
        4.79238237225929,
        4.792401446040306,
        4.792420519821322,
        4.792440070446863,
        4.7924591442278786,
        4.7924782180088945,
        4.79249729178991,
        4.7925163655709255,
        4.792535916196466,
        4.792554989977482,
        4.792574063758498,
        4.792593137539514,
        4.792612211320529,
        4.792631285101545,
        4.792650358882561,
        4.792669909508102,
        4.792688983289118,
        4.792708057070134,
        4.79272713085115,
        4.792746204632165,
        4.792765278413181,
        4.792784352194197,
        4.792803902819737,
        4.792822976600753,
        4.792842050381769,
        4.792861124162784,
        4.7928801979438,
        4.792899271724816,
        4.792918345505832,
        4.792937419286847,
        4.792956493067863,
        4.792976043693404,
        4.79299511747442,
        4.793014191255436,
        4.793033265036452,
        4.793052338817467,
        4.793071412598483,
        4.793090486379499,
        4.793109560160515,
        4.79312863394153,
        4.793147707722546,
        4.793166781503562,
        4.793185855284578,
        4.793205405910118,
        4.793224479691134,
        4.793243553472149,
        4.793262627253165,
        4.793281701034181,
        4.793300774815197,
        4.793319848596212,
        4.793338922377228,
        4.793357996158244,
        4.79337706993926,
        4.793396143720275,
        4.793415217501291,
        4.793434291282307,
        4.793453365063322,
        4.793472438844338,
        4.793491512625354,
        4.79351058640637,
        4.793529660187385,
        4.793548733968401,
        4.793567807749417,
        4.793586881530433,
        4.793605955311448,
        4.793625029092464,
        4.79364410287348,
        4.793663176654496,
        4.793682250435511,
        4.793701324216527,
        4.793720397997543,
        4.793739471778558,
        4.793758545559574,
        4.79377761934059,
        4.793796693121606,
        4.793815766902621,
        4.793834840683637,
        4.793853914464653,
        4.793872988245669,
        4.793891585182159,
        4.793910658963174,
        4.79392973274419,
        4.793948806525206,
        4.793967880306222,
        4.793986954087237,
        4.794006027868253,
        4.794025101649269,
        4.794044175430284,
        4.7940632492113,
        4.794082322992316,
        4.794101396773332,
        4.794120470554347,
        4.794139067490837,
        4.794158141271853,
        4.794177215052869,
        4.794196288833885,
        4.7942153626149,
        4.794234436395916,
        4.794253510176932,
        4.794272583957948,
        4.794291657738963,
        4.7943102546754535,
        4.794329328456469,
        4.794348402237485,
        4.7943674760185,
        4.794386549799516,
        4.794405623580532,
        4.794424697361548,
        4.794443294298039,
        4.794462368079054,
        4.79448144186007,
        4.794500515641086,
        4.7945195894221015,
        4.794538663203117,
        4.794557260139607,
        4.794576333920623,
        4.794595407701639,
        4.794614481482655,
        4.79463355526367,
        4.794652629044686,
        4.794671225981176,
        4.794690299762192,
        4.794709373543207,
        4.794728447324223,
        4.794747521105239,
        4.794766118041729,
        4.794785191822745,
        4.79480426560376,
        4.794823339384776,
        4.794842413165792,
        4.794861010102283,
        4.794880083883299,
        4.794899157664314,
        4.79491823144533,
        4.79493682838182,
        4.794955902162836,
        4.794974975943852,
        4.794994049724867,
        4.795012646661357,
        4.795031720442373,
        4.795050794223389,
        4.795069868004404,
        4.7950884649408945,
        4.79510753872191,
        4.795126612502926,
        4.795145686283942,
        4.795164283220433,
        4.795183357001448,
        4.795202430782464,
        4.79522150456348,
        4.79524010149997,
        4.795259175280986,
        4.795278249062001,
        4.795296845998491,
        4.795315919779507,
        4.795334993560523,
        4.7953535904970135,
        4.795372664278029,
        4.7953917380590445,
        4.7954108118400605,
        4.795429408776551,
        4.795448482557567,
        4.795467556338583,
        4.795486153275073,
        4.795505227056088,
        4.795524300837104,
        4.795542897773594,
        4.79556197155461,
        4.795581045335625,
        4.7955996422721165,
        4.795618716053132,
        4.795637789834148,
        4.795656386770638,
        4.795675460551654,
        4.795694057488144,
        4.795713131269159,
        4.795732205050175,
        4.7957508019866655,
        4.795769875767681,
        4.795788949548697,
        4.795807546485188,
        4.795826620266203,
        4.795845217202693,
        4.795864290983709,
        4.795883364764725,
        4.795901961701215,
        4.795921035482231,
        4.795940109263246,
        4.795958706199737,
        4.795977779980753,
        4.795996376917243,
        4.796015450698259,
        4.796034047634749,
        4.796053121415765,
        4.79607219519678,
        4.7960907921332705,
        4.7961098659142865,
        4.796128462850777,
        4.796147536631793,
        4.796166133568283,
        4.796185207349299,
        4.796204281130314,
        4.796222878066804,
        4.79624195184782,
        4.796260548784311,
        4.796279622565327,
        4.796298219501817,
        4.796317293282833,
        4.796335890219323,
        4.796354964000338,
        4.7963735609368285,
        4.7963926347178445,
        4.796411231654335,
        4.796430305435351,
        4.796448902371841,
        4.796467976152857,
        4.796486573089347,
        4.796505646870362,
        4.796524243806853,
        4.796543317587869,
        4.796561914524359,
        4.796580988305375,
        4.796599585241865,
        4.79661865902288,
        4.7966372559593715,
        4.796656329740387,
        4.796674926676877,
        4.796694000457893,
        4.796712597394383,
        4.796731671175399,
        4.796750268111889,
        4.7967693418929045,
        4.796787938829395,
        4.796807012610411,
        4.796825609546901,
        4.796844206483391,
        4.796863280264407,
        4.796881877200898,
        4.796900950981914,
        4.796919547918404,
        4.796938621699419,
        4.796957218635909,
        4.796976292416925,
        4.796994889353416,
        4.797013486289906,
        4.797032560070922,
        4.797051157007412,
        4.797070230788428,
        4.797088827724918,
        4.797107424661409,
        4.797126498442424,
        4.797145095378914,
        4.79716416915993,
        4.79718276609642,
        4.797201363032911,
        4.797220436813927,
        4.797239033750417,
        4.797258107531433,
        4.797276704467923,
        4.7972953014044135,
        4.797314375185429,
        4.797332972121919,
        4.79735156905841,
        4.797370642839425,
        4.7973892397759155,
        4.797407836712406,
        4.797426910493422,
        4.797445507429912,
        4.797464104366402,
        4.797483178147418,
        4.797501775083909,
        4.797520372020399,
        4.797539445801415,
        4.797558042737905,
        4.7975766396743955,
        4.797595713455411,
        4.797614310391901,
        4.797632907328391,
        4.797651981109407,
        4.7976705780458975,
        4.797689174982388,
        4.797708248763404,
        4.797726845699894,
        4.797745442636384,
        4.7977645164174,
        4.797783113353891,
        4.797801710290381,
        4.797820307226871,
        4.797839381007886,
        4.797857977944377,
        4.797876574880867,
        4.797895171817357,
        4.797914245598373,
        4.7979328425348635,
        4.797951439471354,
        4.79797051325237,
        4.79798911018886,
        4.79800770712535,
        4.798026304061841,
        4.798045377842857,
        4.798063974779347,
        4.798082571715837,
        4.798101168652328,
        4.798119765588818,
        4.798138839369833,
        4.798157436306323,
        4.798176033242814,
        4.798194630179304,
        4.79821370396032,
        4.79823230089681,
        4.7982508978333005,
        4.798269494769791,
        4.798288091706281,
        4.798307165487297,
        4.798325762423787,
        4.798344359360278,
        4.798362956296768,
        4.798381553233258,
        4.798400627014274,
        4.798419223950765,
        4.798437820887255,
        4.798456417823745,
        4.7984750147602355,
        4.798493611696726,
        4.798512685477742,
        4.798531282414232,
        4.798549879350722,
        4.798568476287213,
        4.798587073223703,
        4.798605670160193,
        4.798624743941208,
        4.798643340877699,
        4.798661937814189,
        4.798680534750679,
        4.79869913168717,
        4.79871772862366,
        4.79873632556015,
        4.798811190150637,
        4.7988297870871275,
        4.798848384023618,
        4.798866980960108,
        4.798885577896598,
        4.798904174833089,
        4.798923248614105,
        4.798941845550595,
        4.798960442487085,
        4.798979039423576,
        4.798997636360066,
        4.799016233296556,
        4.7990348302330466,
        4.799053427169537,
        4.799072024106027,
        4.7990906210425175,
        4.799109217979008,
        4.799127814915498,
        4.799146411851988,
        4.799165485633004,
        4.799184082569495,
        4.799202679505985,
        4.799221276442475,
        4.799239873378966,
        4.799258470315456,
        4.799277067251946,
        4.799295664188437,
        4.799314261124927,
        4.799332858061417,
        4.7993514549979075,
        4.799370051934398,
        4.799388648870888,
        4.799407245807378,
        4.799425842743869,
        4.799444439680359,
        4.799463036616849,
        4.79948163355334,
        4.79950023048983,
        4.79951882742632,
        4.799537424362811,
        4.799556021299301,
        4.799574618235791,
        4.7995932151722815,
        4.799611812108772,
        4.799630409045262,
        4.7996490059817525,
        4.799667602918243,
        4.799686199854733,
        4.799704796791223,
        4.799723393727714,
        4.799741990664204,
        4.799760587600694,
        4.799779184537185,
        4.799797781473675,
        4.799816378410165,
        4.799834975346656,
        4.799853095438621,
        4.7998716923751115,
        4.799890289311602,
        4.799908886248092,
        4.799927483184582,
        4.799946080121073,
        4.799964677057563,
        4.799983273994053,
        4.800001870930544,
        4.800020467867034,
        4.800039064803524,
        4.800057661740015,
        4.800076258676505,
        4.80009437876847,
        4.80011297570496,
        4.80013157264145,
        4.8001501695779405,
        4.800168766514431,
        4.800187363450921,
        4.800205960387411,
        4.800224557323902,
        4.800243154260392,
        4.800261274352358,
        4.800279871288848,
        4.800298468225338,
        4.8003170651618285,
        4.800335662098319,
        4.800354259034809,
        4.8003728559712995,
        4.800390976063264,
        4.8004095729997545,
        4.800428169936245,
        4.800446766872735,
        4.800465363809225,
        4.800483960745716,
        4.800502557682206,
        4.800520677774171,
        4.800539274710661,
        4.800557871647151,
        4.800576468583642,
        4.800595065520132,
        4.8006131856120975,
        4.800631782548588,
        4.800650379485078,
        4.800668976421568,
        4.800687573358059,
        4.800705693450023,
        4.800724290386514,
        4.800742887323004,
        4.800761484259494,
        4.800780081195985,
        4.800798201287949,
        4.80081679822444,
        4.80083539516093,
        4.80085399209742,
        4.800872589033911,
        4.800890709125876,
        4.800909306062366,
        4.800927902998857,
        4.800946499935347,
        4.800964620027312,
        4.800983216963802,
        4.801001813900292,
        4.801020410836783,
        4.801038530928747,
        4.801057127865238,
        4.801075724801728,
        4.801094321738218,
        4.801112441830184,
        4.801131038766674,
        4.801149635703164,
        4.801168232639655,
        4.801186352731619,
        4.80120494966811,
        4.8012235466046,
        4.801241666696565,
        4.801260263633055,
        4.801278860569545,
        4.801297457506036,
        4.801315577598001,
        4.8013341745344915,
        4.801352771470982,
        4.8013708915629465,
        4.801389488499437,
        4.801408085435927,
        4.801426205527892,
        4.801444802464382,
        4.801463399400872,
        4.801481519492838,
        4.801500116429328,
        4.801518713365819,
        4.801536833457783,
        4.801555430394274,
        4.801574027330764,
        4.8015921474227286,
        4.801610744359219,
        4.801629341295709,
        4.801647461387675,
        4.801666058324165,
        4.801684655260655,
        4.80170277535262,
        4.80172137228911,
        4.801739492381075,
        4.801758089317565,
        4.801776686254056,
        4.801794806346021,
        4.8018134032825115,
        4.801832000219002,
        4.8018501203109665,
        4.801868717247457,
        4.8018868373394215,
        4.801905434275912,
        4.801924031212402,
        4.801942151304368,
        4.801960748240858,
        4.801978868332823,
        4.801997465269313,
        4.802016062205803,
        4.802034182297768,
        4.802052779234258,
        4.802070899326223,
        4.802089496262713,
        4.802107616354679,
        4.802126213291169,
        4.802144810227659,
        4.802162930319624,
        4.802181527256114,
        4.802199647348079,
        4.802218244284569,
        4.802236364376535,
        4.802254961313025,
        4.80227308140499,
        4.80229167834148,
        4.802309798433445,
        4.802328395369935,
        4.802438546455301,
        4.802457143391791,
        4.802475263483757,
        4.802493860420247,
        4.802511980512212,
        4.802530577448702,
        4.802548697540667,
        4.802567294477157,
        4.802585414569122,
        4.802604011505612,
        4.802622131597578,
        4.802640728534068,
        4.802658848626033,
        4.802676968717997,
        4.802695565654488,
        4.802713685746453,
        4.8027322826829435,
        4.802750402774908,
        4.8027689997113985,
        4.802787119803363,
        4.8028057167398535,
        4.802823836831819,
        4.802842433768309,
        4.802860553860274,
        4.802878673952239,
        4.802897270888729,
        4.8029153909806945,
        4.802933987917185,
        4.8029521080091495,
        4.80297070494564,
        4.8029888250376045,
        4.803006945129569,
        4.8030255420660595,
        4.803043662158025,
        4.803062259094515,
        4.80308037918648,
        4.80309897612297,
        4.803117096214935,
        4.8031352163069005,
        4.803153813243391,
        4.8031719333353555,
        4.80319005342732,
        4.8032086503638105,
        4.803226770455776,
        4.803245367392266,
        4.803263487484231,
        4.803281607576196,
        4.803300204512686,
        4.803318324604651,
        4.803336444696616,
        4.803355041633107,
        4.803373161725071,
        4.8033917586615615,
        4.803409878753526,
        4.803427998845492,
        4.803446595781982,
        4.803464715873947,
        4.803482835965911,
        4.803501432902402,
        4.803519552994367,
        4.803537673086332,
        4.803556270022822,
        4.803574390114787,
        4.8035925102067525,
        4.803611107143243,
        4.8036292272352075,
        4.803647347327172,
        4.8036659442636624,
        4.803684064355627,
        4.803702184447593,
        4.803720304539557,
        4.803738901476048,
        4.803757021568012,
        4.803775141659978,
        4.803793738596468,
        4.803811858688433,
        4.8038299787803975,
        4.803848098872363,
        4.803866695808853,
        4.803884815900818,
        4.803902935992783,
        4.803921532929273,
        4.803939653021238,
        4.803957773113203,
        4.803975893205168,
        4.803994490141658,
        4.804012610233623,
        4.8040307303255885,
        4.804048850417553,
        4.8040674473540435,
        4.804085567446008,
        4.804103687537974,
        4.804121807629938,
        4.804140404566429,
        4.804158524658393,
        4.804176644750358,
        4.8041947648423236,
        4.804212884934288,
        4.8042314818707785,
        4.804249601962743,
        4.804267722054709,
        4.804285842146673,
        4.804303962238638,
        4.804322559175128,
        4.804340679267094,
        4.804358799359059,
        4.804376919451023,
        4.804395039542988,
        4.804413636479478,
        4.804431756571444,
        4.8044498766634085,
        4.804467996755373,
        4.804486116847339,
        4.804504713783829,
        4.804522833875794,
        4.804540953967758,
        4.804559074059723,
        4.804577194151689,
        4.804595314243653,
        4.804613434335618,
        4.804632031272108,
        4.804650151364074,
        4.8046682714560385,
        4.804686391548003,
        4.804704511639969,
        4.804722631731933,
        4.804740751823898,
        4.804759348760388,
        4.804777468852353,
        4.804795588944319,
        4.804813709036283,
        4.804831829128248,
        4.8048499492202135,
        4.804868069312178,
        4.804886189404143,
        4.804904786340633,
        4.804922906432599,
        4.804941026524563,
        4.804959146616528,
        4.804977266708493,
        4.804995386800458,
        4.805013506892423,
        4.805031626984388,
        4.805049747076353,
        4.805067867168318,
        4.8050859872602825,
        4.805104107352247,
        4.805122704288738,
        4.805140824380703,
        4.805158944472668,
        4.805177064564632,
        4.805195184656598,
        4.805213304748563,
        4.805231424840527,
        4.805249544932493,
        4.8052676650244575,
        4.805285785116422,
        4.805303905208387,
        4.805322025300352,
        4.805340145392317,
        4.805358265484282,
        4.805376385576247,
        4.805394505668212,
        4.805412625760177,
        4.805430745852142,
        4.805448865944107,
        4.8054669860360715,
        4.805485106128036,
        4.805503226220002,
        4.805521346311966,
        4.805539466403931,
        4.805557586495897,
        4.805575706587861,
        4.805593826679826,
        4.805611946771791,
        4.805630066863756,
        4.805648186955721,
        4.8056663070476855,
        4.805684427139651,
        4.805702547231616,
        4.80572066732358,
        4.805738787415546,
        4.805756907507511,
        4.805775027599475,
        4.80579314769144,
        4.8058112677834055,
        4.80582938787537,
        4.805847507967335,
        4.8058656280593,
        4.805883748151265,
        4.80590186824323,
        4.805919988335194,
        4.80593810842716,
        4.806046352134424,
        4.806064472226389,
        4.806082592318353,
        4.806100712410319,
        4.806118832502284,
        4.806136952594248,
        4.806155072686214,
        4.806172715933653,
        4.806190836025618,
        4.806208956117583,
        4.806227076209548,
        4.8062451963015125,
        4.806263316393478,
        4.806281436485443,
        4.806299556577407,
        4.806317199824847,
        4.806335319916812,
        4.806353440008777,
        4.806371560100742,
        4.806389680192707,
        4.8064078002846715,
        4.806425920376637,
        4.806444040468602,
        4.806461683716041,
        4.806479803808006,
        4.806497923899971,
        4.806516043991936,
        4.806534164083901,
        4.806552284175866,
        4.806569927423306,
        4.8065880475152705,
        4.806606167607235,
        4.8066242876992,
        4.806642407791165,
        4.808888345505766,
        4.811350770634895,
        4.811372228638537,
        4.81139368664218,
        4.811415144645823,
        4.811436602649465,
        4.811458060653108,
        4.811479041812225,
        4.811500499815868,
        4.811607789834081,
        4.8116292478377245,
        4.811650705841367,
        4.811672163845009,
        4.811693621848653,
        4.811715079852295,
        4.811736537855937,
        4.811757519015055,
        4.811778977018697,
        4.81180043502234,
        4.811821893025983,
        4.8118433510296255,
        4.811864809033268,
        4.812014538214242,
        4.812035996217884,
        4.812057454221527,
        4.81207891222517,
        4.812099893384287,
        4.81212135138793,
        4.812142809391572,
        4.812164267395215,
        4.812185725398858,
        4.812420809749876,
        4.812441790908994,
        4.813480835129825,
        4.815245636718304,
        4.8152666178774215,
        4.815288075881064,
        4.8153090570401815,
        4.815330038199298,
        4.815351019358416,
        4.815372477362058,
        4.815393458521176,
        4.815414439680293,
        4.815435897683936,
        4.815456878843053,
        4.81547786000217,
        4.815498841161288,
        4.81552029916493,
        4.815541280324047,
        4.815562261483165,
        4.815583242642282,
        4.815604700645925,
        4.8156256818050425,
        4.815646662964159,
        4.815667644123277,
        4.815689102126919,
        4.815710083286037,
        4.815731064445154,
        4.815752045604271,
        4.815773026763389,
        4.815794484767031,
        4.815815465926148,
        4.815836447085266,
        4.815857428244383,
        4.8158784094035,
        4.815899867407143,
        4.81592084856626,
        4.815941829725378,
        4.8159628108844945,
        4.815983792043612,
        4.8160052500472545,
        4.816026231206372,
        4.81604721236549,
        4.816068193524607,
        4.816089174683724,
        4.816110155842841,
        4.816131613846484,
        4.816152595005601,
        4.816173576164719,
        4.816194557323836,
        4.816215538482953,
        4.816236519642071,
        4.816257500801187,
        4.816278958804831,
        4.8162999399639475,
        4.816320921123065,
        4.816341902282182,
        4.8163628834412995,
        4.816383864600417,
        4.816404845759534,
        4.8164258269186515,
        4.816446808077769,
        4.8164682660814115,
        4.816489247240528,
        4.816510228399646,
        4.816531209558764,
        4.81655219071788,
        4.816573171876998,
        4.816594153036115,
        4.816615134195232,
        4.81663611535435,
        4.816657096513467,
        4.816678077672584,
        4.816699058831701,
        4.816720039990819,
        4.816741021149936,
        4.816762479153579,
        4.816783460312696,
        4.816804441471813,
        4.816825422630931,
        4.816846403790048,
        4.816867384949165,
        4.816888366108283,
        4.8169093472674,
        4.816930328426517,
        4.816951309585634,
        4.816972290744752,
        4.816993271903869,
        4.817014253062986,
        4.817035234222104,
        4.81705621538122,
        4.817077196540338,
        4.817098177699456,
        4.8171191588585724,
        4.81714014001769,
        4.817161121176808,
        4.8171821023359245,
        4.817203083495042,
        4.817224064654159,
        4.8172450458132765,
        4.817266026972394,
        4.817287008131511,
        4.817307512446103,
        4.8173284936052205,
        4.817349474764337,
        4.817370455923455,
        4.817391437082572,
        4.817412418241689,
        4.817433399400807,
        4.817454380559924,
        4.817475361719041,
        4.817496342878158,
        4.817517324037276,
        4.817538305196393,
        4.81755928635551,
        4.817580267514628,
        4.81760077182922,
        4.8176217529883365,
        4.817642734147454,
        4.817663715306572,
        4.8176846964656885,
        4.817705677624806,
        4.817726658783923,
        4.817747639943041,
        4.817768621102158,
        4.817789125416749,
        4.817810106575867,
        4.817831087734985,
        4.817852068894101,
        4.817873050053219,
        4.817894031212337,
        4.817915012371453,
        4.817935516686045,
        4.817956497845163,
        4.81797747900428,
        4.817998460163397,
        4.818019441322514,
        4.818040422481632,
        4.818060926796224,
        4.818081907955341,
        4.818102889114458,
        4.818123870273576,
        4.8181448514326926,
        4.8181653557472846,
        4.818186336906402,
        4.818207318065519,
        4.818228299224637,
        4.818249280383754,
        4.818269784698346,
        4.818290765857463,
        4.818311747016581,
        4.818332728175697,
        4.818353709334815,
        4.818374213649407,
        4.818395194808524,
        4.818416175967641,
        4.818437157126759,
        4.818457661441351,
        4.818478642600468,
        4.818499623759585,
        4.818520604918702,
        4.818541109233294,
        4.818562090392412,
        4.8185830715515285,
        4.818604052710646,
        4.818624557025238,
        4.818645538184356,
        4.818666519343473,
        4.818687023658065,
        4.818708004817182,
        4.818728985976299,
        4.818749967135417,
        4.818770471450009,
        4.818791452609125,
        4.818812433768243,
        4.818832938082835,
        4.818853919241952,
        4.818874900401069,
        4.818895404715661,
        4.818916385874779,
        4.818937367033896,
        4.818957871348488,
        4.818978852507605,
        4.818999833666722,
        4.819020337981314,
        4.819041319140432,
        4.8190623002995485,
        4.8190828046141405,
        4.819103785773258,
        4.819124766932375,
        4.819145271246967,
        4.8191662524060845,
        4.819187233565202,
        4.819207737879793,
        4.819228719038911,
        4.819249700198029,
        4.819270204512621,
        4.819291185671737,
        4.819311689986329,
        4.819332671145447,
        4.819353652304564,
        4.819374156619156,
        4.819395137778273,
        4.819415642092865,
        4.819436623251982,
        4.8194576044111,
        4.819478108725692,
        4.8194990898848085,
        4.8195195941994005,
        4.819540575358518,
        4.81956107967311,
        4.819582060832227,
        4.8196030419913445,
        4.8196235463059365,
        4.819644527465053,
        4.819665031779645,
        4.819686012938763,
        4.819706517253355,
        4.819727498412472,
        4.819748002727064,
        4.819768983886181,
        4.819789488200773,
        4.81981046935989,
        4.819830973674482,
        4.8198519548336,
        4.819872935992716,
        4.819893440307308,
        4.819914421466426,
        4.819934925781018,
        4.819955906940135,
        4.819976411254727,
        4.819997392413844,
        4.820017896728436,
        4.820038877887553,
        4.820059382202145,
        4.820079886516737,
        4.820100867675855,
        4.820121371990447,
        4.8201423531495635,
        4.8201628574641555,
        4.820183838623273,
        4.820204342937865,
        4.820225324096982,
        4.820245828411574,
        4.8202668095706915,
        4.8202873138852835,
        4.8203082950444,
        4.820328799358992,
        4.820349303673584,
        4.820370284832702,
        4.820390789147293,
        4.820411770306411,
        4.820432274621003,
        4.82045325578012,
        4.820473760094711,
        4.820494264409303,
        4.820515245568421,
        4.820535749883013,
        4.82055673104213,
        4.820577235356722,
        4.820597739671314,
        4.820618720830431,
        4.820639225145023,
        4.820659729459615,
        4.820680710618732,
        4.820701214933324,
        4.820722196092442,
        4.820742700407034,
        4.820763204721625,
        4.8207841858807425,
        4.8208046901953345,
        4.8208251945099265,
        4.820846175669043,
        4.820866679983635,
        4.820887184298227,
        4.820908165457345,
        4.820928669771937,
        4.820949174086529,
        4.820970155245646,
        4.820990659560238,
        4.821259123028034,
        4.8212796273426255,
        4.821300608501743,
        4.821321112816335,
        4.821341617130927,
        4.821362121445519,
        4.821383102604636,
        4.821403606919228,
        4.82142411123382,
        4.821444615548412,
        4.8214655967075295,
        4.821486101022121,
        4.821506605336713,
        4.821527109651305,
        4.821548090810422,
        4.821568595125014,
        4.821589099439606,
        4.821609603754197,
        4.821630108068789,
        4.821651089227907,
        4.821671593542499,
        4.821692097857091,
        4.821712602171683,
        4.821733106486274,
        4.821754087645392,
        4.821774591959984,
        4.821795096274576,
        4.821815600589168,
        4.82183610490376,
        4.821857086062876,
        4.821877590377468,
        4.82189809469206,
        4.821918599006652,
        4.821939103321244,
        4.821959607635836,
        4.821980588794953,
        4.822001093109545,
        4.822021597424137,
        4.822042101738729,
        4.822062606053321,
        4.822083110367913,
        4.822103614682505,
        4.822124595841622,
        4.822145100156214,
        4.822165604470806,
        4.822186108785398,
        4.82220661309999,
        4.822227117414582,
        4.822330115832067,
        4.822350620146659,
        4.822371124461251,
        4.822391628775842,
        4.822412133090434,
        4.822432637405026,
        4.822453141719618,
        4.82247364603421,
        4.822494150348802,
        4.822514654663394,
        4.822535158977986,
        4.822555663292578,
        4.822576644451694,
        4.822597148766286,
        4.822617653080878,
        4.82263815739547,
        4.822658661710062,
        4.822679166024654,
        4.8226996703392455,
        4.8227201746538375,
        4.8227406789684295,
        4.8227611832830215,
        4.8227816875976135,
        4.8228021919122055,
        4.8228226962267975,
        4.8228432005413895,
        4.8228637048559815,
        4.822884209170573,
        4.822904713485165,
        4.822925217799757,
        4.822945722114349,
        4.822966226428941,
        4.822986730743533,
        4.823007235058125,
        4.823027739372717,
        4.823048243687309,
        4.8230687480019,
        4.823089252316492,
        4.823109756631084,
        4.823130260945676,
        4.823150765260268,
        4.82317126957486,
        4.823191773889452,
        4.823211801359518,
        4.82323230567411,
        4.823252809988702,
        4.823273314303294,
        4.823293818617885,
        4.823314322932477,
        4.823334827247069,
        4.823355331561661,
        4.823375835876253,
        4.823396340190845,
        4.823416844505437,
        4.823437348820029,
        4.823457853134621,
        4.823477880604687,
        4.823498384919279,
        4.8235188892338705,
        4.8235393935484625,
        4.8235598978630545,
        4.8235804021776465,
        4.8236009064922385,
        4.8236214108068305,
        4.8236419151214225,
        4.823661942591489,
        4.823682446906081,
        4.823702951220673,
        4.823723455535265,
        4.823743959849857,
        4.823764464164448,
        4.82378496847904,
        4.823804995949106,
        4.823825500263698,
        4.82384600457829,
        4.823866508892882,
        4.823887013207474,
        4.823907517522066,
        4.823927544992133,
        4.823948049306725,
        4.823968553621317,
        4.823989057935909,
        4.824009562250501,
        4.824029589720567,
        4.824050094035159,
        4.824070598349751,
        4.824091102664342,
        4.824111606978934,
        4.824131634449,
        4.824152138763592,
        4.824172643078184,
        4.824193147392776,
        4.824213651707368,
        4.824233679177435,
        4.824254183492027,
        4.824274687806619,
        4.824295192121211,
        4.824315219591277,
        4.824335723905869,
        4.824356228220461,
        4.824376732535053,
        4.824396760005119,
        4.824417264319711,
        4.824437768634303,
        4.824458272948895,
        4.824478300418962,
        4.824498804733554,
        4.824519309048145,
        4.824539336518212,
        4.824559840832804,
        4.824580345147395,
        4.824600849461987,
        4.8246208769320535,
        4.8246413812466455,
        4.8246618855612375,
        4.824681913031304,
        4.824702417345896,
        4.824722921660488,
        4.824742949130554,
        4.824763453445146,
        4.824783957759738,
        4.824803985229805,
        4.824824489544397,
        4.824844993858989,
        4.824865498173581,
        4.824885525643647,
        4.824906029958239,
        4.824926057428305,
        4.824946561742897,
        4.824967066057489,
        4.824987093527556,
        4.825007597842148,
        4.82502810215674,
        4.825048129626806,
        4.825068633941398,
        4.82508913825599,
        4.825109165726056,
        4.825129670040648,
        4.825149697510715,
        4.825170201825307,
        4.825190706139899,
        4.825210733609965,
        4.825231237924557,
        4.825251265394623,
        4.825271769709215,
        4.825292274023807,
        4.825312301493874,
        4.825332805808466,
        4.825352833278532,
        4.825373337593124,
        4.825393841907716,
        4.825413869377782,
        4.825434373692374,
        4.825454401162441,
        4.825474905477033,
        4.825494932947099,
        4.825515437261691,
        4.825535464731757,
        4.825555969046349,
        4.825576473360941,
        4.825596500831008,
        4.8256170051456,
        4.825637032615666,
        4.825657536930258,
        4.8256775644003245,
        4.8256980687149165,
        4.825718096184983,
        4.825738600499575,
        4.825758627969641,
        4.825779132284233,
        4.8257991597542995,
        4.8258196640688915,
        4.826001818677592,
        4.826022322992184,
        4.8260423504622505,
        4.8260628547768425,
        4.826082882246909,
        4.826102909716975,
        4.826123414031567,
        4.8261434415016335,
        4.8261639458162255,
        4.826183973286292,
        4.826204477600884,
        4.82622450507095,
        4.826245009385542,
        4.826265036855609,
        4.826285064325675,
        4.826305568640267,
        4.826325596110333,
        4.826346100424925,
        4.826366127894992,
        4.826386155365059,
        4.82640665967965,
        4.826426687149717,
        4.826447191464309,
        4.826467218934376,
        4.826487246404442,
        4.826507750719034,
        4.8265277781891,
        4.826548282503692,
        4.826568309973759,
        4.826588337443825,
        4.826608841758417,
        4.826628869228483,
        4.82664889669855,
        4.826669401013142,
        4.826689428483208,
        4.826709455953275,
        4.826729960267866,
        4.826749987737934,
        4.826770015208,
        4.826790519522592,
        4.826810546992658,
        4.826830574462725,
        4.826851078777317,
        4.826871106247383,
        4.826891133717449,
        4.826911638032041,
        4.826931665502108,
        4.826951692972174,
        4.826972197286766,
        4.826992224756833,
        4.8270122522269,
        4.827032756541492,
        4.827052784011558,
        4.827072811481624,
        4.827092838951691,
        4.827113343266283,
        4.827133370736349,
        4.827153398206415,
        4.827173902521007,
        4.827193929991074,
        4.827213957461141,
        4.827233984931207,
        4.827254489245799,
        4.827274516715866,
        4.827294544185932,
        4.827314571655998,
        4.82733507597059,
        4.827355103440657,
        4.827375130910723,
        4.8273951583807895,
        4.8274156626953815,
        4.827435690165449,
        4.827455717635515,
        4.827475745105581,
        4.827495772575648,
        4.82751627689024,
        4.827536304360306,
        4.8275563318303725,
        4.827576359300439,
        4.827596386770506,
        4.827616891085097,
        4.827636918555164,
        4.827656946025231,
        4.827676973495297,
        4.8276970009653635,
        4.8277175052799555,
        4.827737532750022,
        4.827757560220088,
        4.827777587690155,
        4.827797615160222,
        4.827817642630288,
        4.82783814694488,
        4.8278581744149465,
        4.827878201885013,
        4.827898229355079,
        4.8279182568251455,
        4.827938284295213,
        4.827958311765279,
        4.827978816079871,
        4.8279988435499375,
        4.828018871020004,
        4.82803889849007,
        4.8280589259601365,
        4.828078953430204,
        4.82809898090027,
        4.8281190083703365,
        4.8281395126849285,
        4.828159540154995,
        4.828179567625061,
        4.8281995950951275,
        4.828219622565194,
        4.828239650035261,
        4.8282596775053275,
        4.828279704975394,
        4.82829973244546,
        4.8283197599155265,
        4.828339787385593,
        4.82835981485566,
        4.828380319170251,
        4.8284003466403185,
        4.828420374110385,
        4.828440401580451,
        4.8284604290505175,
        4.828480456520584,
        4.82850048399065,
        4.8285205114607175,
        4.828540538930784,
        4.82856056640085,
        4.8285805938709165,
        4.828600621340983,
        4.828620648811049,
        4.8286406762811165,
        4.828660703751183,
        4.828680731221249,
        4.8287007586913155,
        4.828720786161382,
        4.828740813631448,
        4.8287608411015155,
        4.828780868571582,
        4.828800896041648,
        4.8288209235117145,
        4.828840950981781,
        4.828860978451848,
        4.8288810059219145,
        4.828901033391981,
        4.828921060862047,
        4.8289410883321136,
        4.82896111580218,
        4.828981143272247,
        4.8290011707423135,
        4.82902119821238,
        4.829041225682446,
        4.829061253152513,
        4.829081280622579,
        4.829101308092646,
        4.8291213355627125,
        4.829141363032779,
        4.82916091365832,
        4.829180941128386,
        4.829200968598453,
        4.8292209960685195,
        4.829241023538586,
        4.829261051008652,
        4.829281078478719,
        4.829301105948785,
        4.829321133418852,
        4.8293411608889185,
        4.829361188358985,
        4.829380738984526,
        4.829400766454593,
        4.829420793924659,
        4.8296606467209315,
        4.829680674190998,
        4.8297002248165395,
        4.829720252286606,
        4.829740279756672,
        4.8297603072267385,
        4.829780334696805,
        4.8297998853223465,
        4.829819912792413,
        4.829839940262479,
        4.829859967732546,
        4.829879995202612,
        4.829900022672679,
        4.82991957329822,
        4.829939600768286,
        4.829959628238353,
        4.82997965570842,
        4.829999683178486,
        4.830019233804027,
        4.830039261274093,
        4.8300592887441605,
        4.830079316214227,
        4.8300988668397675,
        4.830118894309834,
        4.830138921779901,
        4.8301589492499675,
        4.830178976720034,
        4.8301985273455745,
        4.830218554815641,
        4.830238582285708,
        4.8302586097557745,
        4.830278160381315,
        4.8302981878513815,
        4.830318215321449,
        4.8303377659469895,
        4.830357793417056,
        4.830377820887122,
        4.830397848357189,
        4.83041739898273,
        4.8304374264527965,
        4.830457453922863,
        4.8304770045484045,
        4.830497032018471,
        4.830517059488537,
        4.8305370869586035,
        4.830556637584145,
        4.8305766650542115,
        4.830596692524278,
        4.830616243149819,
        4.830636270619886,
        4.830656298089952,
        4.830675848715493,
        4.830695876185559,
        4.830715903655626,
        4.830735454281167,
        4.8307554817512335,
        4.8307755092213,
        4.830795059846841,
        4.830815087316908,
        4.830835114786974,
        4.830854665412516,
        4.830874692882582,
        4.830894720352648,
        4.830914270978189,
        4.830934298448256,
        4.830954325918323,
        4.8309738765438635,
        4.83099390401393,
        4.831013454639471,
        4.831033482109538,
        4.831053509579604,
        4.831073060205146,
        4.831093087675212,
        4.831112638300753,
        4.831132665770819,
        4.831152693240886,
        4.831172243866427,
        4.831192271336493,
        4.831211821962035,
        4.831231849432101,
        4.831251876902168,
        4.831271427527708,
        4.831291454997776,
        4.831311005623316,
        4.831331033093383,
        4.831350583718924,
        4.831370611188991,
        4.831390161814531,
        4.831410189284598,
        4.831430216754665,
        4.831449767380206,
        4.831469794850272,
        4.831489345475814,
        4.83150937294588,
        4.831528923571421,
        4.831548951041488,
        4.831568501667029,
        4.831588529137095,
        4.831608079762637,
        4.831628107232703,
        4.831647657858244,
        4.83166768532831,
        4.831687235953852,
        4.831707263423918,
        4.831726814049459,
        4.831746841519526,
        4.831766392145067,
        4.831786419615133,
        4.831805970240675,
        4.831825997710741,
        4.831845548336282,
        4.831865575806348,
        4.83188512643189,
        4.831905153901956,
        4.831924704527498,
        4.831944731997564,
        4.831964282623105,
        4.831984310093171,
        4.832003860718713,
        4.832023411344253,
        4.83204343881432,
        4.832062989439861,
        4.832083016909928,
        4.832102567535468,
        4.8321225950055355,
        4.832142145631076,
        4.832161696256618,
        4.832181723726684,
        4.832201274352225,
        4.832221301822291,
        4.832240852447833,
        4.832260879917899,
        4.83228043054344,
        4.8322999811689815,
        4.832320008639048,
        4.832339559264589,
        4.83235910989013,
        4.8323791373601965,
        4.832398687985738,
        4.8324187154558045,
        4.832438266081345,
        4.832457816706887,
        4.832477844176953,
        4.832497394802494,
        4.8325169454280354,
        4.832536972898102,
        4.8325565235236425,
        4.832576550993709,
        4.8325961016192505,
        4.832615652244791,
        4.832635679714858,
        4.832655230340399,
        4.83267478096594,
        4.832694808436007,
        4.832714359061548,
        4.8327339096870885,
        4.832753937157156,
        4.832773487782696,
        4.832793038408238,
        4.832813065878304,
        4.832832616503845,
        4.832852167129387,
        4.832871717754927,
        4.832891745224994,
        4.832911295850535,
        4.832930846476076,
        4.832950873946142,
        4.832970424571684,
        4.832989975197225,
        4.833009525822766,
        4.833029553292833,
        4.833304692583984,
        4.833324243209526,
        4.833344270679592,
        4.833363821305133,
        4.833383371930674,
        4.833402922556215,
        4.833422950026281,
        4.833442500651823,
        4.833462051277364,
        4.833481601902905,
        4.833501152528446,
        4.833521179998512,
        4.833540730624054,
        4.833560281249595,
        4.833579831875136,
        4.833599382500677,
        4.8336189331262185,
        4.833638960596285,
        4.8336585112218255,
        4.833678061847367,
        4.833697612472908,
        4.8337171630984495,
        4.83373671372399,
        4.8337567411940565,
        4.833776291819598,
        4.833795842445139,
        4.83381539307068,
        4.833834943696221,
        4.833854494321762,
        4.833874044947303,
        4.83389407241737,
        4.833913623042911,
        4.833933173668452,
        4.833952724293993,
        4.833972274919534,
        4.833991825545075,
        4.834011376170617,
        4.834030926796157,
        4.834050477421699,
        4.834070504891765,
        4.834090055517306,
        4.834109606142848,
        4.834129156768388,
        4.83414870739393,
        4.834168258019471,
        4.834187808645012,
        4.834207359270553,
        4.834226909896094,
        4.834246460521635,
        4.834266011147176,
        4.834285561772718,
        4.834305112398258,
        4.834325139868325,
        4.834344690493866,
        4.834364241119407,
        4.834383791744949,
        4.834403342370489,
        4.834422892996031,
        4.834442443621572,
        4.834461994247113,
        4.834481544872654,
        4.834501095498195,
        4.834520646123736,
        4.834540196749277,
        4.8345597473748185,
        4.834579298000359,
        4.834598848625901,
        4.8346183992514415,
        4.834637949876983,
        4.834657500502524,
        4.8346770511280655,
        4.834696601753606,
        4.834716152379147,
        4.8347357030046885,
        4.834755253630229,
        4.834774804255771,
        4.8347943548813115,
        4.834813905506853,
        4.834833456132394,
        4.834853006757935,
        4.834872557383476,
        4.834892108009017,
        4.834911658634558,
        4.834931209260099,
        4.834950759885641,
        4.834970310511181,
        4.834989384292197,
        4.835008934917738,
        4.83502848554328,
        4.83504803616882,
        4.835067586794362,
        4.835087137419903,
        4.835106688045444,
        4.835126238670985,
        4.835145789296527,
        4.835165339922067,
        4.835184890547608,
        4.83520444117315,
        4.83522399179869,
        4.835243065579706,
        4.835262616205248,
        4.835282166830789,
        4.835301717456329,
        4.835321268081871,
        4.835340818707412,
        4.835360369332953,
        4.835379919958494,
        4.8353994705840355,
        4.835418544365051,
        4.835438094990592,
        4.835457645616133,
        4.8354771962416745,
        4.835496746867215,
        4.835516297492757,
        4.8355358481182975,
        4.8355549218993135,
        4.835574472524854,
        4.835594023150396,
        4.8356135737759365,
        4.835633124401478,
        4.835652675027019,
        4.835671748808035,
        4.8356912994335755,
        4.835710850059117,
        4.835730400684658,
        4.835749951310199,
        4.835769025091214,
        4.835788575716756,
        4.835808126342297,
        4.835827676967838,
        4.835847227593379,
        4.835866301374395,
        4.835885851999936,
        4.835905402625477,
        4.835924953251018,
        4.83594450387656,
        4.835963577657575,
        4.835983128283116,
        4.836002678908657,
        4.836022229534199,
        4.8360413033152145,
        4.836060853940755,
        4.836080404566296,
        4.8360999551918376,
        4.836119505817378,
        4.836138579598394,
        4.836158130223936,
        4.8361776808494765,
        4.8361967546304925,
        4.836216305256033,
        4.836235855881575,
        4.8362554065071155,
        4.8362744802881314,
        4.836294030913672,
        4.836313581539214,
        4.8363331321647545,
        4.83635220594577,
        4.836371756571311,
        4.836391307196853,
        4.836410380977868,
        4.836429931603409,
        4.83644948222895,
        4.836468556009966,
        4.836488106635508,
        4.836507657261048,
        4.836527207886589,
        4.836546281667605,
        4.836565832293147,
        4.836585382918687,
        4.836604456699703,
        4.836624007325244,
        4.8369339562667495,
        4.836953506892291,
        4.836972580673306,
        4.836992131298848,
        4.8370116819243885,
        4.837030755705404,
        4.837050306330945,
        4.837069380111961,
        4.837088930737503,
        4.837108004518518,
        4.837127555144059,
        4.8371471057696,
        4.837166179550616,
        4.837185730176157,
        4.837204803957173,
        4.837224354582714,
        4.837243428363729,
        4.837262978989271,
        4.837282529614812,
        4.837301603395828,
        4.837321154021368,
        4.837340227802384,
        4.837359778427926,
        4.837378852208941,
        4.8373984028344825,
        4.8374174766154985,
        4.837437027241039,
        4.837456101022055,
        4.837475651647596,
        4.837494725428612,
        4.8375142760541525,
        4.837533826679694,
        4.83755290046071,
        4.837572451086251,
        4.837591524867267,
        4.8376110754928074,
        4.837630149273823,
        4.837649699899364,
        4.83766877368038,
        4.837687847461396,
        4.837707398086937,
        4.837726471867953,
        4.837746022493493,
        4.837765096274509,
        4.837784646900051,
        4.837803720681066,
        4.837823271306608,
        4.837842345087624,
        4.837861895713164,
        4.83788096949418,
        4.837900520119721,
        4.837919593900737,
        4.837939144526278,
        4.837958218307294,
        4.8379772920883095,
        4.83799684271385,
        4.838015916494866,
        4.838035467120407,
        4.838054540901423,
        4.838074091526964,
        4.8380931653079795,
        4.8381122390889955,
        4.838131789714537,
        4.838150863495552,
        4.838170414121094,
        4.838189487902109,
        4.838208561683125,
        4.838228112308666,
        4.838247186089681,
        4.838266736715223,
        4.838285810496239,
        4.838304884277254,
        4.838324434902796,
        4.838343508683811,
        4.838362582464827,
        4.838382133090368,
        4.838401206871383,
        4.838420757496925,
        4.838439831277941,
        4.838458905058956,
        4.8384784556844975,
        4.838497529465513,
        4.8385166032465285,
        4.83853615387207,
        4.838555227653085,
        4.838574301434101,
        4.838593852059643,
        4.838612925840658,
        4.838631999621674,
        4.8386515502472145,
        4.8386706240282304,
        4.838689697809246,
        4.838709248434787,
        4.838728322215803,
        4.838747395996819,
        4.838766469777835,
        4.838786020403376,
        4.838805094184392,
        4.838824167965407,
        4.838843718590948,
        4.838862792371964,
        4.838881866152979,
        4.838901416778521,
        4.838920490559537,
        4.838939564340552,
        4.838958638121568,
        4.8389781887471095,
        4.838997262528125,
        4.8390163363091405,
        4.8390354100901565,
        4.839054960715697,
        4.839074034496713,
        4.839093108277729,
        4.839112182058744,
        4.839131732684286,
        4.839150806465302,
        4.839169880246317,
        4.839188954027333,
        4.839208504652873,
        4.839227578433889,
        4.839246652214905,
        4.839265725995921,
        4.839284799776936,
        4.839304350402478,
        4.839323424183494,
        4.839342497964509,
        4.839361571745525,
        4.839380645526541,
        4.839400196152082,
        4.839419269933098,
        4.8394383437141135,
        4.839457417495129,
        4.8394764912761445,
        4.839496041901686,
        4.839515115682701,
        4.839534189463717,
        4.839553263244733,
        4.839572337025748,
        4.839591410806764,
        4.839610961432306,
        4.839630035213321,
        4.839649108994337,
        4.839668182775353,
        4.839687256556369,
        4.839706330337384,
        4.839725880962925,
        4.839744954743941,
        4.839764028524956,
        4.839783102305972,
        4.839802176086988,
        4.839821249868003,
        4.839840323649019,
        4.839859397430035,
        4.839878948055576,
        4.839898021836592,
        4.839917095617608,
        4.839936169398624,
        4.839955243179639,
        4.839974316960655,
        4.839993390741671,
        4.840012464522686,
        4.840031538303702,
        4.840050612084718,
        4.8400701627102585,
        4.840089236491274,
        4.84010831027229,
        4.840127384053306,
        4.840146457834321,
        4.840165531615337,
        4.840184605396353,
        4.840203679177369,
        4.840222752958384,
        4.840966630417998,
        4.841004777980029,
        4.841023851761045,
        4.841042448697535,
        4.841061522478551,
        4.841080596259566,
        4.841099670040582,
        4.841118743821598,
        4.841137817602614,
        4.841156891383629,
        4.841175965164645,
        4.841195038945661,
        4.841214112726677,
        4.841233186507692,
        4.841251783444182,
        4.841270857225198,
        4.841289931006214,
        4.84130900478723,
        4.841328078568245,
        4.841347152349261,
        4.841366226130277,
        4.841384823066767,
        4.841403896847782,
        4.841422970628798,
        4.841442044409814,
        4.84146111819083,
        4.841480191971845,
        4.841499265752861,
        4.841517862689352,
        4.8415369364703675,
        4.8415560102513835,
        4.841575084032399,
        4.8415941578134145,
        4.8416132315944305,
        4.841631828530921,
        4.841650902311937,
        4.841669976092952,
        4.841689049873968,
        4.841708123654984,
        4.841726720591474,
        4.841745794372489,
        4.841764868153505,
        4.841783941934521,
        4.841803015715537,
        4.841821612652027,
        4.841840686433042,
        4.841859760214058,
        4.841878833995074,
        4.84189790777609,
        4.8419165047125805,
        4.841935578493596,
        4.8419546522746115,
        4.8419737260556275,
        4.841992322992118,
        4.842011396773134,
        4.842030470554149,
        4.842049544335165,
        4.842068141271655,
        4.842087215052671,
        4.842106288833686,
        4.842125362614702,
        4.842143959551192,
        4.842163033332208,
        4.842182107113224,
        4.842200704049715,
        4.84221977783073,
        4.842238851611746,
        4.842257925392762,
        4.842276522329252,
        4.842295596110268,
        4.842314669891283,
        4.842333266827773,
        4.842352340608789,
        4.842371414389805,
        4.842390488170821,
        4.842409085107311,
        4.8424281588883265,
        4.842447232669342,
        4.842465829605833,
        4.843429055547126,
        4.843447652483617,
        4.843466726264633,
        4.843485323201123,
        4.843504396982139,
        4.843522993918629,
        4.843542067699644,
        4.843560664636135,
        4.843579738417151,
        4.843598335353641,
        4.843617409134657,
        4.843636006071147,
        4.843655079852163,
        4.8436736767886535,
        4.8436927505696685,
        4.843711347506159,
        4.843730421287175,
        4.843749018223665,
        4.843767615160155,
        4.843786688941171,
        4.843805285877662,
        4.843824359658677,
        4.843842956595168,
        4.844294051516189,
        4.8443126484526795,
        4.8443317222336955,
        4.844350319170186,
        4.844368916106676,
        4.844387989887692,
        4.844406586824182,
        4.844425660605197,
        4.844444257541688,
        4.844462854478178,
        4.844481928259194,
        4.844500525195684,
        4.844519122132175,
        4.844538195913191,
        4.844556792849681,
        4.844575389786171,
        4.844594463567187,
        4.8446130605036775,
        4.844631657440168,
        4.844650254376658,
        4.844669328157673,
        4.8446879250941635,
        4.844706522030654,
        4.84472559581167,
        4.84474419274816,
        4.84476278968465,
        4.844781863465666,
        4.844800460402157,
        4.844819057338647,
        4.844837654275137,
        4.844856728056153,
        4.8448753249926435,
        4.844893921929134,
        4.844912518865624,
        4.844931592646639,
        4.8449501895831295,
        4.84496878651962,
        4.844987860300636,
        4.845006457237126,
        4.845025054173616,
        4.845043651110107,
        4.845062724891123,
        4.845081321827613,
        4.845099918764103,
        4.845118515700594,
        4.845137112637084,
        4.8451561864181,
        4.84517478335459,
        4.8451933802910805,
        4.845211977227571,
        4.845231051008586,
        4.845249647945076,
        4.8452682448815665,
        4.845286841818057,
        4.845305438754548,
        4.845324512535563,
        4.845343109472053,
        4.845361706408544,
        4.845380303345034,
        4.845398900281524,
        4.84541797406254,
        4.845436570999031,
        4.845455167935521,
        4.845473764872011,
        4.8454923618085015,
        4.845510958744992,
        4.845530032526008,
        4.845548629462498,
        4.845567226398988,
        4.845585823335479,
        4.845604420271969,
        4.845623017208459,
        4.84564161414495,
        4.845660687925966,
        4.845679284862456,
        4.845697881798946,
        4.8457164787354365,
        4.845735075671927,
        4.845753672608417,
        4.8457722695449075,
        4.845790866481398,
        4.845809940262413,
        4.845828537198903,
        4.8458471341353935,
        4.845865731071885,
        4.845884328008375,
        4.845902924944865,
        4.845921521881356,
        4.845940118817846,
        4.845958715754336,
        4.845977789535351,
        4.845996386471842,
        4.846014983408332,
        4.846033580344822,
        4.8460521772813125,
        4.846070774217803,
        4.846089371154293,
        4.8461079680907835,
        4.846126565027274,
        4.846145161963764,
        4.846163758900254,
        4.846182355836745,
        4.846200952773235,
        4.846219549709725,
        4.846238146646216,
        4.846256743582707,
        4.846275340519197,
        4.846294414300212,
        4.8463130112367026,
        4.846331608173193,
        4.846350205109683,
        4.8463688020461735,
        4.846387398982664,
        4.846405995919154,
        4.846424592855644,
        4.846443189792135,
        4.846461786728625,
        4.846480383665115,
        4.846498980601606,
        4.846517577538096,
        4.846536174474586,
        4.846554771411077,
        4.846573368347567,
        4.846591965284057,
        4.8466105622205475,
        4.846629159157038,
        4.846647756093529,
        4.846666353030019,
        4.84668494996651,
        4.846703070058474,
        4.846721666994965,
        4.846740263931455,
        4.846758860867945,
        4.846777457804436,
        4.846796054740926,
        4.846814651677416,
        4.8468332486139065,
        4.846851845550397,
        4.846870442486887,
        4.8468890394233775,
        4.846907636359868,
        4.846926233296358,
        4.846944830232848,
        4.846963427169339,
        4.846982024105829,
        4.847000621042319,
        4.847018741134284,
        4.847037338070774,
        4.847055935007265,
        4.847074531943755,
        4.847093128880245,
        4.8471117258167356,
        4.847130322753226,
        4.847148919689716,
        4.8471675166262065,
        4.847186113562697,
        4.847204233654662,
        4.847222830591153,
        4.847241427527643,
        4.847260024464133,
        4.847278621400624,
        4.847297218337114,
        4.847315815273604,
        4.847333935365569,
        4.847352532302059,
        4.8473711292385495,
        4.84738972617504,
        4.84740832311153,
        4.8474269200480204,
        4.847445516984511,
        4.847463637076476,
        4.847482234012967,
        4.8478708623011615,
        4.847889459237652,
        4.847908056174142,
        4.847926176266107,
        4.847944773202597,
        4.847963370139087,
        4.847981967075578,
        4.848000087167543,
        4.848018684104034,
        4.848037281040524,
        4.848055877977014,
        4.848073998068979,
        4.848092595005469,
        4.8481111919419595,
        4.84812978887845,
        4.8481479089704145,
        4.848166505906905,
        4.848185102843395,
        4.848203222935361,
        4.848221819871851,
        4.848240416808341,
        4.848259013744832,
        4.848277133836796,
        4.848295730773287,
        4.848314327709777,
        4.8483324478017416,
        4.848351044738232,
        4.848369641674722,
        4.848387761766688,
        4.848406358703178,
        4.848424955639668,
        4.848443075731633,
        4.848461672668123,
        4.848480269604614,
        4.848498389696578,
        4.848516986633069,
        4.848535583569559,
        4.8485537036615245,
        4.848572300598015,
        4.848590897534505,
        4.84860901762647,
        4.84862761456296,
        4.84864621149945,
        4.848664331591415,
        4.848682928527905,
        4.848701525464396,
        4.84871964555636,
        4.848738242492851,
        4.848756362584816,
        4.8487749595213065,
        4.848793556457797,
        4.8488116765497615,
        4.848830273486252,
        4.8488483935782165,
        4.848866990514707,
        4.848885587451197,
        4.848903707543163,
        4.848922304479653,
        4.848940424571618,
        4.848959021508108,
        4.848977618444598,
        4.848995738536563,
        4.849014335473053,
        4.849032455565019,
        4.849051052501509,
        4.849069172593474,
        4.849087769529964,
        4.849106366466454,
        4.849124486558419,
        4.849143083494909,
        4.849161203586875,
        4.849179800523365,
        4.84919792061533,
        4.84921651755182,
        4.849234637643785,
        4.849253234580275,
        4.8492718315167656,
        4.849289951608731,
        4.849308548545221,
        4.849326668637186,
        4.849345265573676,
        4.849363385665641,
        4.849381982602131,
        4.849400102694096,
        4.849418699630586,
        4.849436819722552,
        4.849455416659042,
        4.849473536751007,
        4.849492133687497,
        4.849510253779462,
        4.849528850715952,
        4.849546970807918,
        4.849565567744408,
        4.849583687836373,
        4.849602284772863,
        4.849620404864828,
        4.849639001801318,
        4.849657121893284,
        4.849675718829774,
        4.8496938389217386,
        4.849711959013703,
        4.8497305559501935,
        4.849748676042159,
        4.849767272978649,
        4.849785393070614,
        4.849803990007104,
        4.849822110099069,
        4.849840707035559,
        4.849858827127524,
        4.84987694721949,
        4.84989554415598,
        4.849913664247945,
        4.849932261184435,
        4.8499503812763995,
        4.84996897821289,
        4.849987098304855,
        4.85000521839682,
        4.85002381533331,
        4.850041935425275,
        4.850060532361765,
        4.850078652453731,
        4.850096772545696,
        4.850115369482186,
        4.850133489574151,
        4.850152086510641,
        4.8501702066026064,
        4.850188326694571,
        4.850206923631061,
        4.850225043723026,
        4.850243163814991,
        4.850261760751481,
        4.850279880843447,
        4.850298477779937,
        4.850316597871902,
        4.850334717963866,
        4.850353314900357,
        4.850371434992322,
        4.850389555084287,
        4.850408152020777,
        4.850426272112742,
        4.850444392204707,
        4.850462989141198,
        4.850481109233162,
        4.850499229325127,
        4.850517826261617,
        4.850535946353582,
        4.8505540664455475,
        4.850572663382038,
        4.8505907834740025,
        4.850608903565967,
        4.8506275005024575,
        4.850645620594423,
        4.850663740686388,
        4.850682337622878,
        4.850700457714843,
        4.850718577806808,
        4.850736697898773,
        4.850755294835263,
        4.850773414927228,
        4.850791535019193,
        4.850810131955683,
        4.8508282520476484,
        4.850846372139613,
        4.850864492231578,
        4.850883089168068,
        4.850901209260034,
        4.850919329351998,
        4.850937449443963,
        4.850956046380453,
        4.850974166472419,
        4.8509922865643835,
        4.851010406656348,
        4.8510290035928385,
        4.851047123684803,
        4.853662854328847,
        4.856570413822429,
        4.856592348670597,
        4.856613806674241,
        4.856635264677883,
        4.856657199526051,
        4.856678657529693,
        4.856700592377862,
        4.856722050381505,
        4.856743508385147,
        4.856765443233315,
        4.856786901236958,
        4.856808359240601,
        4.856830294088769,
        4.856851752092411,
        4.8568732100960545,
        4.856895144944223,
        4.856916602947865,
        4.856938060951507,
        4.856959518955151,
        4.856981453803319,
        4.857002911806961,
        4.8570243698106035,
        4.8570463046587715,
        4.857067762662415,
        4.857089220666057,
        4.857111155514225,
        4.857132613517868,
        4.857154071521511,
        4.857175529525153,
        4.857197464373321,
        4.857218922376964,
        4.857240380380607,
        4.857261838384249,
        4.8572837732324174,
        4.85730523123606,
        4.857326689239703,
        4.8573481472433455,
        4.8573700820915136,
        4.857391540095156,
        4.857412998098799,
        4.857434456102442,
        4.85745639095061,
        4.857477848954252,
        4.857499306957895,
        4.857520764961538,
        4.857542699809706,
        4.857564157813348,
        4.857585615816991,
        4.857607073820634,
        4.857628531824276,
        4.857650466672444,
        4.8576719246760875,
        4.85769338267973,
        4.857714840683372,
        4.857736298687016,
        4.857758233535184,
        4.857779691538826,
        4.857801149542468,
        4.857822607546112,
        4.857844065549754,
        4.8578655235533965,
        4.8578874584015646,
        4.857908916405208,
        4.85793037440885,
        4.857951832412493,
        4.857973290416136,
        4.857994748419778,
        4.858016206423421,
        4.858038141271589,
        4.858059599275232,
        4.858081057278874,
        4.858102515282517,
        4.85812397328616,
        4.8581454312898025,
        4.858166889293445,
        4.858188347297088,
        4.8582098053007305,
        4.858231740148899,
        4.858253198152541,
        4.858274656156184,
        4.858296114159827,
        4.858317572163469,
        4.858339030167112,
        4.858360488170755,
        4.858381946174397,
        4.85840340417804,
        4.858790125088134,
        4.858811583091776,
        4.858833041095419,
        4.858854499099062,
        4.858875957102704,
        4.858897415106347,
        4.85891887310999,
        4.858940331113632,
        4.858961789117275,
        4.858983247120918,
        4.85900470512456,
        4.8590261631282035,
        4.859047621131846,
        4.859069079135488,
        4.8590905371391315,
        4.859111995142774,
        4.859132976301892,
        4.859154434305534,
        4.859175892309176,
        4.85919735031282,
        4.859218808316462,
        4.859240266320104,
        4.859261724323747,
        4.85928318232739,
        4.8593046403310325,
        4.859326098334675,
        4.859347556338318,
        4.859369014341961,
        4.859390472345603,
        4.859411453504721,
        4.859432911508363,
        4.859454369512006,
        4.859475827515649,
        4.859497285519291,
        4.859518743522934,
        4.859540201526577,
        4.859561659530219,
        4.859583117533862,
        4.859604098692979,
        4.859625556696622,
        4.859647014700265,
        4.859668472703907,
        4.85968993070755,
        4.859711388711193,
        4.859732846714835,
        4.859753827873953,
        4.859775285877595,
        4.859796743881238,
        4.859818201884881,
        4.859839659888523,
        4.859861117892166,
        4.859882099051283,
        4.859903557054926,
        4.859925015058569,
        4.8599464730622115,
        4.859967931065854,
        4.859989389069497,
        4.860010370228614,
        4.860031828232257,
        4.8600532862359,
        4.860074744239542,
        4.86009572539866,
        4.860117183402302,
        4.860138641405944,
        4.860160099409588,
        4.86018155741323,
        4.860202538572348,
        4.86022399657599,
        4.8602454545796325,
        4.860266912583276,
        4.860287893742393,
        4.860309351746036,
        4.860330809749678,
        4.860352267753321,
        4.860373248912438,
        4.860394706916081,
        4.860416164919723,
        4.860437622923366,
        4.860458604082483,
        4.860480062086126,
        4.860501520089769,
        4.860522978093411,
        4.860543959252529,
        4.860565417256171,
        4.8605868752598145,
        4.860607856418931,
        4.8606293144225745,
        4.860650772426217,
        4.860671753585334,
        4.860693211588977,
        4.860714669592619,
        4.860735650751737,
        4.860757108755379,
        4.860778566759022,
        4.860800024762665,
        4.860821005921782,
        4.860842463925425,
        4.860863445084542,
        4.860884903088185,
        4.8609063610918275,
        4.860927342250944,
        4.8609488002545875,
        4.86097025825823,
        4.860991239417348,
        4.86101269742099,
        4.861034155424632,
        4.86105513658375,
        4.861076594587392,
        4.861098052591036,
        4.861119033750152,
        4.861140491753796,
        4.8611614729129125,
        4.861182930916555,
        4.861204388920198,
        4.861225370079315,
        4.861246828082958,
        4.861267809242075,
        4.861289267245718,
        4.861310725249361,
        4.861331706408478,
        4.861353164412121,
        4.861374145571238,
        4.861395603574881,
        4.861416584733997,
        4.861438042737641,
        4.861459500741283,
        4.861480481900401,
        4.861501939904043,
        4.861522921063161,
        4.861544379066803,
        4.861565360225921,
        4.861586818229563,
        4.86160779938868,
        4.861629257392323,
        4.86165023855144,
        4.861671696555083,
        4.8616926777142,
        4.861714135717843,
        4.86173511687696,
        4.861756574880603,
        4.861778032884246,
        4.861799014043363,
        4.861820472047006,
        4.8618414532061225,
        4.86186243436524,
        4.8618838923688825,
        4.861904873528,
        4.8619263315316426,
        4.86194731269076,
        4.861968770694403,
        4.86198975185352,
        4.862011209857163,
        4.86203219101628,
        4.862053649019923,
        4.862413666636594,
        4.862434647795712,
        4.862456105799354,
        4.862477086958472,
        4.862498544962114,
        4.862519526121232,
        4.8625405072803485,
        4.862561965283992,
        4.8625829464431085,
        4.862604404446752,
        4.8626253856058685,
        4.862646366764986,
        4.862667824768629,
        4.862688805927746,
        4.862709787086863,
        4.862731245090506,
        4.862752226249623,
        4.862773207408741,
        4.862794665412383,
        4.862815646571501,
        4.862836627730618,
        4.862858085734261,
        4.8628790668933775,
        4.862900048052495,
        4.8629215060561375,
        4.862942487215255,
        4.862963468374373,
        4.862984926378015,
        4.863005907537132,
        4.8630268886962496,
        4.863047869855367,
        4.86306932785901,
        4.863090309018127,
        4.863111290177244,
        4.863132748180887,
        4.863153729340004,
        4.863174710499122,
        4.863195691658238,
        4.863217149661882,
        4.863238130820998,
        4.863259111980116,
        4.863280093139234,
        4.863301551142876,
        4.863322532301993,
        4.8633435134611105,
        4.863364494620228,
        4.8633859526238705,
        4.863406933782988,
        4.863427914942105,
        4.8634488961012226,
        4.863470354104865,
        4.863491335263983,
        4.863512316423099,
        4.863533297582217,
        4.863554278741335,
        4.863575736744977,
        4.863596717904094,
        4.863617699063211,
        4.863638680222329,
        4.863659661381446,
        4.863681119385089,
        4.863702100544206,
        4.8637230817033235,
        4.86374406286244,
        4.863765044021558,
        4.8637865020252,
        4.863807483184318,
        4.8638284643434355,
        4.863849445502552,
        4.86387042666167,
        4.863891407820787,
        4.863912388979904,
        4.863933846983547,
        4.863954828142664,
        4.863975809301782,
        4.863996790460899,
        4.864017771620016,
        4.864038752779133,
        4.864059733938251,
        4.864081191941893,
        4.864102173101011,
        4.8641231542601275,
        4.864144135419245,
        4.864165116578363,
        4.86418609773748,
        4.864207078896597,
        4.864228060055714,
        4.864249041214832,
        4.864270022373949,
        4.864291480377592,
        4.864312461536709,
        4.864333442695826,
        4.864354423854944,
        4.86437540501406,
        4.864396386173178,
        4.864417367332296,
        4.864438348491412,
        4.86445932965053,
        4.864480310809647,
        4.8645012919687645,
        4.864522273127882,
        4.864543254286999,
        4.8645642354461165,
        4.864585216605233,
        4.864606197764351,
        4.8646271789234685,
        4.864648160082585,
        4.8646696180862286,
        4.864690599245345,
        4.864711580404463,
        4.86473256156358,
        4.864753542722697,
        4.864774523881815,
        4.864795505040932,
        4.864816486200049,
        4.864837467359166,
        4.864858448518284,
        4.864879429677401,
        4.864900410836518,
        4.86492091515111,
        4.864941896310228,
        4.8649628774693445,
        4.864983858628462,
        4.86500483978758,
        4.8650258209466966,
        4.865046802105814,
        4.865067783264931,
        4.865088764424049,
        4.865109745583166,
        4.865130726742283,
        4.865151707901401,
        4.865172689060517,
        4.865193670219635,
        4.865214651378753,
        4.865235632537869,
        4.865256613696987,
        4.865277594856104,
        4.865298576015221,
        4.865319080329813,
        4.865340061488931,
        4.865361042648048,
        4.8653820238071654,
        4.865403004966282,
        4.8654239861254,
        4.8654449672845175,
        4.865465948443634,
        4.865486929602752,
        4.865507910761869,
        4.865528415076461,
        4.865549396235578,
        4.865570377394695,
        4.865591358553813,
        4.86561233971293,
        4.865633320872047,
        4.865654302031165,
        4.865674806345757,
        4.865695787504873,
        4.865716768663991,
        4.866030055517174,
        4.866051036676292,
        4.866072017835409,
        4.866092998994526,
        4.866113980153643,
        4.866134484468235,
        4.866155465627353,
        4.866176446786469,
        4.866197427945587,
        4.866217932260179,
        4.866238913419297,
        4.8662598945784135,
        4.866280875737531,
        4.866301380052123,
        4.86632236121124,
        4.8663433423703575,
        4.866364323529474,
        4.866384827844066,
        4.866405809003184,
        4.8664267901623015,
        4.866447771321418,
        4.86646827563601,
        4.866489256795128,
        4.866510237954245,
        4.866530742268837,
        4.866551723427954,
        4.866572704587071,
        4.866593685746189,
        4.866614190060781,
        4.866635171219897,
        4.866656152379015,
        4.866676656693607,
        4.866697637852725,
        4.866718619011841,
        4.866739123326433,
        4.866760104485551,
        4.866781085644668,
        4.86680158995926,
        4.8668225711183775,
        4.866843552277494,
        4.866864056592086,
        4.866885037751204,
        4.866906018910321,
        4.866926523224913,
        4.86694750438403,
        4.866968485543148,
        4.866988989857739,
        4.867009971016857,
        4.867030475331449,
        4.867051456490565,
        4.867072437649683,
        4.867092941964275,
        4.867113923123393,
        4.867134904282509,
        4.867155408597101,
        4.867176389756219,
        4.867196894070811,
        4.867217875229928,
        4.867238856389045,
        4.867259360703637,
        4.867280341862754,
        4.867300846177346,
        4.867321827336464,
        4.867342331651056,
        4.8673633128101725,
        4.86738429396929,
        4.867404798283882,
        4.867425779442999,
        4.867446283757591,
        4.867467264916709,
        4.8674877692313006,
        4.867508750390417,
        4.867529254705009,
        4.867550235864127,
        4.867571217023244,
        4.867591721337836,
        4.867612702496953,
        4.867633206811545,
        4.867654187970662,
        4.867674692285254,
        4.867695673444372,
        4.867716177758964,
        4.8677371589180805,
        4.8677576632326724,
        4.86777864439179,
        4.867799148706382,
        4.867820129865499,
        4.867840634180091,
        4.8678616153392085,
        4.8678821196538005,
        4.867903100812917,
        4.867923605127509,
        4.867944586286627,
        4.867965090601219,
        4.867985594915811,
        4.868006576074928,
        4.86802708038952,
        4.868048061548637,
        4.868068565863229,
        4.868089547022346,
        4.868110051336938,
        4.868131032496056,
        4.868151536810648,
        4.868172517969764,
        4.868193022284356,
        4.868213526598948,
        4.868234507758066,
        4.868255012072657,
        4.868275993231775,
        4.868296497546367,
        4.868317001860959,
        4.8683379830200755,
        4.8683584873346675,
        4.868379468493785,
        4.868399972808377,
        4.868420477122969,
        4.868441458282086,
        4.868461962596678,
        4.8684829437557955,
        4.8685034480703875,
        4.8685239523849795,
        4.868544933544096,
        4.868565437858688,
        4.86858594217328,
        4.868606923332398,
        4.868627427646989,
        4.868648408806107,
        4.868668913120699,
        4.868689417435291,
        4.868710398594407,
        4.868730902908999,
        4.868751407223591,
        4.868772388382709,
        4.868792892697301,
        4.868813397011893,
        4.86883437817101,
        4.868854882485602,
        4.868875386800194,
        4.868896367959311,
        4.8689168722739025,
        4.8689373765884945,
        4.8689578809030865,
        4.868978862062204,
        4.868999366376796,
        4.869019870691388,
        4.869040851850505,
        4.869061356165097,
        4.869081860479689,
        4.869102364794281,
        4.869123345953398,
        4.86914385026799,
        4.869164354582582,
        4.869185335741699,
        4.869205840056291,
        4.869226344370883,
        4.869246848685475,
        4.869267829844592,
        4.869288334159184,
        4.869308838473776,
        4.869329342788368,
        4.869350323947485,
        4.86965931919994,
        4.869679823514532,
        4.869700327829124,
        4.869720832143715,
        4.869741336458307,
        4.8697623176174245,
        4.8697828219320165,
        4.8698033262466085,
        4.8698238305612005,
        4.8698443348757925,
        4.869864839190384,
        4.869885343504976,
        4.869906324664093,
        4.869926828978685,
        4.869947333293277,
        4.869967837607869,
        4.86998834192246,
        4.870008846237052,
        4.870029350551644,
        4.870050331710762,
        4.870070836025354,
        4.870091340339946,
        4.870111844654537,
        4.870132348969129,
        4.870152853283721,
        4.870173357598313,
        4.870193861912905,
        4.870214366227497,
        4.870234870542089,
        4.870255374856681,
        4.870276356015798,
        4.87029686033039,
        4.870317364644982,
        4.870337868959574,
        4.870358373274166,
        4.870378877588758,
        4.87039938190335,
        4.870419886217941,
        4.870440390532533,
        4.870460894847125,
        4.870481399161717,
        4.870501903476309,
        4.870522407790901,
        4.870542912105493,
        4.870563416420085,
        4.870583920734677,
        4.870604425049268,
        4.87062492936386,
        4.870645433678452,
        4.870665937993044,
        4.870686442307636,
        4.870706946622228,
        4.87072745093682,
        4.870747955251412,
        4.870768459566004,
        4.870788963880595,
        4.870809468195187,
        4.870829972509779,
        4.870850476824371,
        4.870870981138963,
        4.870891485453555,
        4.870911989768147,
        4.870932494082739,
        4.870952998397331,
        4.870973502711922,
        4.870994007026514,
        4.871014511341106,
        4.871035015655698,
        4.87105551997029,
        4.871076024284882,
        4.871096528599474,
        4.871117032914066,
        4.871137537228658,
        4.871158041543249,
        4.871178545857841,
        4.871199050172433,
        4.871219554487025,
        4.8712395819570915,
        4.8712600862716835,
        4.8712805905862755,
        4.8713010949008675,
        4.8713215992154595,
        4.8713421035300515,
        4.8713626078446435,
        4.871383112159235,
        4.871403616473827,
        4.871424120788419,
        4.871444148258485,
        4.871464652573077,
        4.871485156887669,
        4.871505661202261,
        4.871526165516853,
        4.871546669831445,
        4.871567174146037,
        4.871587678460629,
        4.871607705930695,
        4.871628210245287,
        4.871648714559879,
        4.87166921887447,
        4.871689723189062,
        4.871710227503654,
        4.871730254973721,
        4.871750759288313,
        4.871771263602905,
        4.871791767917497,
        4.871812272232089,
        4.871832776546681,
        4.871852804016747,
        4.871873308331339,
        4.871893812645931,
        4.871914316960523,
        4.871934821275115,
        4.871954848745181,
        4.871975353059773,
        4.8719958573743645,
        4.8720163616889565,
        4.8720368660035485,
        4.872056893473615,
        4.872077397788207,
        4.872097902102799,
        4.872118406417391,
        4.872138433887457,
        4.872158938202049,
        4.872179442516641,
        4.872199946831233,
        4.8722199743012995,
        4.8722404786158915,
        4.8722609829304835,
        4.8722814872450755,
        4.872301514715142,
        4.872322019029734,
        4.872342523344326,
        4.872363027658918,
        4.872383055128984,
        4.872403559443576,
        4.872424063758167,
        4.872444568072759,
        4.8724645955428265,
        4.872485099857418,
        4.87250560417201,
        4.872525631642076,
        4.872546135956668,
        4.87256664027126,
        4.872586667741326,
        4.872607172055918,
        4.87262767637051,
        4.872647703840577,
        4.872668208155169,
        4.872688712469761,
        4.872709216784353,
        4.872729244254419,
        4.872749748569011,
        4.872770252883603,
        4.872790280353669,
        4.872810784668261,
        4.872830812138328,
        4.87285131645292,
        4.872871820767512,
        4.872891848237578,
        4.87291235255217,
        4.872932856866762,
        4.872952884336828,
        4.87297338865142,
        4.872993892966012,
        4.8732780923031465,
        4.873298119773213,
        4.873318624087805,
        4.873339128402397,
        4.873359155872463,
        4.873379660187055,
        4.8733996876571215,
        4.8734201919717135,
        4.87344021944178,
        4.873460723756372,
        4.873480751226438,
        4.87350125554103,
        4.873521759855622,
        4.8735417873256885,
        4.8735622916402805,
        4.873582319110347,
        4.873602823424939,
        4.873622850895005,
        4.873643355209597,
        4.873663382679664,
        4.873683886994256,
        4.873703914464322,
        4.873724418778914,
        4.87374444624898,
        4.873764950563572,
        4.873784978033639,
        4.873805482348231,
        4.873825509818298,
        4.873846014132889,
        4.873866041602956,
        4.873886545917547,
        4.873906573387615,
        4.873926600857681,
        4.873947105172273,
        4.873967132642339,
        4.873987636956931,
        4.874007664426998,
        4.87402816874159,
        4.874048196211656,
        4.874068700526248,
        4.874088727996314,
        4.874108755466381,
        4.874129259780973,
        4.874149287251039,
        4.874169791565631,
        4.874189819035697,
        4.874210323350289,
        4.874230350820356,
        4.874250378290423,
        4.874270882605014,
        4.874290910075081,
        4.874311414389672,
        4.87433144185974,
        4.874351469329806,
        4.874371973644398,
        4.874392001114464,
        4.874412505429056,
        4.874432532899123,
        4.874452560369189,
        4.874473064683781,
        4.874493092153847,
        4.874513119623914,
        4.874533623938506,
        4.874553651408572,
        4.874574155723164,
        4.8745941831932305,
        4.874614210663298,
        4.874634714977889,
        4.874654742447956,
        4.874674769918022,
        4.874695274232614,
        4.874715301702681,
        4.874735329172747,
        4.874755833487339,
        4.8747758609574054,
        4.874795888427472,
        4.874816392742064,
        4.87483642021213,
        4.8748564476821965,
        4.874876475152264,
        4.874896979466856,
        4.874917006936922,
        4.8749370344069884,
        4.87495753872158,
        4.874977566191647,
        4.874997593661713,
        4.8750176211317795,
        4.8750381254463715,
        4.875058152916438,
        4.875078180386504,
        4.875098684701096,
        4.875118712171163,
        4.87513873964123,
        4.875158767111296,
        4.875179271425888,
        4.8751992988959545,
        4.875219326366021,
        4.875239353836087,
        4.875259858150679,
        4.8752798856207455,
        4.875299913090812,
        4.875319940560879,
        4.875340444875471,
        4.8753604723455375,
        4.875380499815604,
        4.87540052728567,
        4.8754205547557365,
        4.8754410590703285,
        4.875461086540395,
        4.875481114010461,
        4.8755011414805285,
        4.875521168950595,
        4.875541673265187,
        4.875561700735253,
        4.8755817282053195,
        4.875601755675386,
        4.875621783145452,
        4.875642287460044,
        4.875662314930111,
        4.875682342400178,
        4.875702369870244,
        4.8757223973403105,
        4.875742424810377,
        4.875762452280443,
        4.875782956595035,
        4.875802984065102,
        4.875823011535168,
        4.875843039005235,
        4.8758630664753015,
        4.875883093945368,
        4.875903121415434,
        4.875923625730026,
        4.875943653200093,
        4.875963680670159,
        4.875983708140226,
        4.8760037356102925,
        4.876023763080359,
        4.876043790550425,
        4.876063818020492,
        4.876084322335084,
        4.87610434980515,
        4.876124377275216,
        4.8761444047452835,
        4.87616443221535,
        4.876184459685416,
        4.876204487155483,
        4.876224514625549,
        4.876244542095615,
        4.8762645695656825,
        4.876284597035749,
        4.876304624505815,
        4.876324651975882,
        4.876344679445948,
        4.87636518376054,
        4.876385211230606,
        4.876405238700673,
        4.87642526617074,
        4.876445293640806,
        4.876465321110873,
        4.876485348580939,
        4.876505376051005,
        4.8765254035210726,
        4.876545430991139,
        4.876565458461205,
        4.876585485931272,
        4.876605513401338,
        4.876625540871404,
        4.876645568341472,
        4.876905925452336,
        4.876925952922402,
        4.876945980392469,
        4.876966007862535,
        4.876986035332601,
        4.877005585958143,
        4.877025613428209,
        4.877045640898276,
        4.877065668368342,
        4.877085695838408,
        4.877105723308476,
        4.877125750778542,
        4.877145778248608,
        4.877165805718675,
        4.877185833188741,
        4.877205860658808,
        4.877225888128875,
        4.877245915598941,
        4.877265466224482,
        4.877285493694548,
        4.877305521164615,
        4.877325548634682,
        4.877345576104748,
        4.877365603574814,
        4.877385631044881,
        4.877405658514947,
        4.877425685985014,
        4.877445236610555,
        4.877465264080621,
        4.877485291550688,
        4.877505319020755,
        4.877525346490821,
        4.877545373960888,
        4.877565401430954,
        4.877584952056496,
        4.877604979526562,
        4.877625006996628,
        4.877645034466695,
        4.877665061936761,
        4.877685089406827,
        4.877704640032369,
        4.877724667502435,
        4.877744694972502,
        4.877764722442568,
        4.877784749912635,
        4.877804300538176,
        4.877824328008242,
        4.877844355478309,
        4.877864382948375,
        4.877884410418442,
        4.877903961043983,
        4.877923988514049,
        4.877944015984116,
        4.877964043454183,
        4.877984070924249,
        4.87800362154979,
        4.878023649019856,
        4.8780436764899235,
        4.87806370395999,
        4.878083254585531,
        4.878103282055597,
        4.878123309525663,
        4.8781433369957306,
        4.878162887621271,
        4.878182915091338,
        4.878202942561404,
        4.878222970031471,
        4.878242520657012,
        4.878262548127078,
        4.878282575597145,
        4.878302603067212,
        4.878322153692753,
        4.878342181162819,
        4.878362208632885,
        4.878381759258427,
        4.878401786728493,
        4.87842181419856,
        4.878441841668626,
        4.8784613922941675,
        4.878481419764234,
        4.8785014472343,
        4.878520997859842,
        4.878541025329908,
        4.8785610527999745,
        4.878580603425515,
        4.8786006308955825,
        4.878620658365649,
        4.8786402089911896,
        4.878660236461256,
        4.878680263931322,
        4.878699814556864,
        4.87871984202693,
        4.878739869496997,
        4.878759420122538,
        4.8787794475926045,
        4.878799475062671,
        4.878819025688212,
        4.878839053158279,
        4.878859080628345,
        4.878878631253886,
        4.878898658723952,
        4.878918209349494,
        4.87893823681956,
        4.8789582642896265,
        4.878977814915168,
        4.8789978423852345,
        4.879017393010775,
        4.8790374204808415,
        4.879057447950909,
        4.8790769985764495,
        4.879097026046516,
        4.8791165766720574,
        4.879136604142124,
        4.87915663161219,
        4.879176182237731,
        4.879196209707798,
        4.879215760333339,
        4.879235787803405,
        4.879255338428947,
        4.879275365899013,
        4.8792953933690795,
        4.879314943994621,
        4.879334971464687,
        4.879354522090228,
        4.8793745495602945,
        4.879394100185836,
        4.879414127655902,
        4.879433678281443,
        4.87945370575151,
        4.879473256377051,
        4.8794932838471174,
        4.879512834472659,
        4.879532861942725,
        4.879552412568266,
        4.8795724400383325,
        4.8795924675084,
        4.87961201813394,
        4.879632045604007,
        4.879651596229548,
        4.879671146855089,
        4.879691174325155,
        4.879710724950697,
        4.879730752420763,
        4.879750303046304,
        4.87977033051637,
        4.879789881141912,
        4.879809908611978,
        4.87982945923752,
        4.879849486707586,
        4.879869037333127,
        4.879889064803193,
        4.879908615428735,
        4.879928642898801,
        4.879948193524342,
        4.879967744149884,
        4.87998777161995,
        4.880007322245491,
        4.880027349715558,
        4.880046900341099,
        4.880066927811165,
        4.880086478436707,
        4.880106029062247,
        4.880126056532314,
        4.880145607157855,
        4.880165634627922,
        4.880185185253462,
        4.88020521272353,
        4.88022476334907,
        4.880244313974611,
        4.880264341444678,
        4.880283892070219,
        4.880303919540285,
        4.880520883799339,
        4.880540434424881,
        4.8805599850504215,
        4.880580012520488,
        4.8805995631460295,
        4.88061911377157,
        4.880639141241637,
        4.880658691867178,
        4.880678242492719,
        4.880698269962785,
        4.880717820588327,
        4.8807373712138675,
        4.880756921839409,
        4.8807769493094755,
        4.880796499935016,
        4.880816050560558,
        4.880836078030624,
        4.880855628656165,
        4.8808751792817064,
        4.880895206751773,
        4.8809147573773135,
        4.880934308002855,
        4.880953858628396,
        4.880973886098462,
        4.880993436724004,
        4.8810129873495445,
        4.881032537975086,
        4.881052565445152,
        4.881072116070693,
        4.881091666696235,
        4.881111217321775,
        4.881131244791842,
        4.881150795417383,
        4.881170346042924,
        4.881189896668466,
        4.881209924138532,
        4.881229474764073,
        4.881249025389614,
        4.881268576015155,
        4.881288603485222,
        4.881308154110763,
        4.881327704736304,
        4.881347255361845,
        4.881366805987386,
        4.881386833457452,
        4.881406384082994,
        4.881425934708535,
        4.881445485334076,
        4.881465035959617,
        4.881485063429683,
        4.881504614055225,
        4.881524164680766,
        4.881543715306307,
        4.881563265931848,
        4.88158281655739,
        4.881602844027456,
        4.881622394652997,
        4.881641945278538,
        4.881661495904079,
        4.8816810465296205,
        4.881700597155161,
        4.881720624625228,
        4.881740175250769,
        4.88175972587631,
        4.8817792765018515,
        4.881798827127392,
        4.881818377752934,
        4.8818379283784745,
        4.881857479004015,
        4.8818775064740825,
        4.881897057099623,
        4.881916607725165,
        4.8819361583507055,
        4.881955708976246,
        4.881975259601788,
        4.8819948102273285,
        4.88201436085287,
        4.882033911478411,
        4.882053462103952,
        4.882073489574019,
        4.8820930401995595,
        4.882112590825101,
        4.882132141450642,
        4.882151692076183,
        4.882171242701724,
        4.882190793327266,
        4.882210343952806,
        4.882229894578347,
        4.882249445203889,
        4.882268995829429,
        4.882288546454971,
        4.882308097080512,
        4.882327647706053,
        4.882347198331594,
        4.882366748957136,
        4.882386299582676,
        4.882406327052743,
        4.882425877678284,
        4.882445428303825,
        4.882464978929367,
        4.882484529554907,
        4.882504080180448,
        4.88252363080599,
        4.88254318143153,
        4.882562732057072,
        4.882582282682613,
        4.882601833308154,
        4.882621383933695,
        4.8826409345592365,
        4.882660485184777,
        4.882680035810318,
        4.8826995864358596,
        4.8827191370614,
        4.882738210842416,
        4.882757761467958,
        4.8827773120934985,
        4.882796862719039,
        4.882816413344581,
        4.8828359639701215,
        4.882855514595663,
        4.882875065221204,
        4.8828946158467454,
        4.882914166472286,
        4.882933717097828,
        4.8829532677233685,
        4.88297281834891,
        4.882992368974451,
        4.8830119195999915,
        4.883031470225533,
        4.883051020851074,
        4.883070571476615,
        4.883089645257631,
        4.883109195883172,
        4.883128746508713,
        4.883148297134254,
        4.883167847759795,
        4.883187398385337,
        4.883206949010877,
        4.883226499636419,
        4.88324605026196,
        4.883265124042976,
        4.883284674668516,
        4.883304225294058,
        4.883323775919599,
        4.88334332654514,
        4.883362877170681,
        4.883382427796223,
        4.883401978421763,
        4.883421052202779,
        4.88344060282832,
        4.8834601534538615,
        4.883479704079402,
        4.883499254704944,
        4.8835188053304845,
        4.883538355956025,
        4.883557429737041,
        4.883576980362583,
        4.8835965309881235,
        4.883616081613665,
        4.883635632239206,
        4.883654706020222,
        4.8836742566457625,
        4.883693807271304,
        4.883713357896845,
        4.8837329085223855,
        4.883752459147927,
        4.883771532928943,
        4.883791083554484,
        4.883810634180025,
        4.883830184805566,
        4.883849258586582,
        4.883868809212123,
        4.883888359837664,
        4.883907910463205,
        4.883927461088747,
        4.883946534869762,
        4.884141087436122,
        4.884160638061664,
        4.8841797118426795,
        4.88419926246822,
        4.884218813093761,
        4.884237886874777,
        4.8842574375003185,
        4.884276988125859,
        4.884296538751401,
        4.884315612532416,
        4.8843351631579575,
        4.884354713783498,
        4.884373787564514,
        4.884393338190055,
        4.884412888815596,
        4.8844319625966115,
        4.884451513222153,
        4.884471063847694,
        4.88449013762871,
        4.884509688254251,
        4.884529238879792,
        4.884548312660808,
        4.884567863286349,
        4.88458741391189,
        4.884606487692905,
        4.884626038318447,
        4.884645588943988,
        4.884664662725004,
        4.884684213350544,
        4.884703763976086,
        4.884722837757102,
        4.884742388382643,
        4.884761939008184,
        4.884781012789199,
        4.884800563414741,
        4.884819637195756,
        4.884839187821298,
        4.884858738446838,
        4.884877812227854,
        4.884897362853396,
        4.884916436634411,
        4.8849359872599525,
        4.884955537885493,
        4.884974611666509,
        4.88499416229205,
        4.885013236073066,
        4.885032786698607,
        4.885052337324148,
        4.885071411105164,
        4.885090961730705,
        4.885110035511721,
        4.8851295861372614,
        4.885148659918277,
        4.885168210543819,
        4.88518776116936,
        4.885206834950376,
        4.885226385575916,
        4.885245459356932,
        4.885265009982473,
        4.885284083763489,
        4.885303634389031,
        4.885322708170046,
        4.885342258795587,
        4.885361332576602,
        4.885380883202144,
        4.88539995698316,
        4.885419507608701,
        4.885439058234242,
        4.885458132015257,
        4.885477682640799,
        4.885496756421814,
        4.8855163070473555,
        4.8855353808283715,
        4.885554931453912,
        4.885574005234928,
        4.885593079015944,
        4.885612629641485,
        4.885631703422501,
        4.8856512540480415,
        4.885670327829057,
        4.885689878454598,
        4.885708952235614,
        4.885728502861156,
        4.885747576642171,
        4.885767127267712,
        4.885786201048727,
        4.885805751674269,
        4.885824825455285,
        4.885844376080826,
        4.885863449861842,
        4.885882523642858,
        4.885902074268398,
        4.885921148049414,
        4.885940698674955,
        4.885959772455971,
        4.885979323081512,
        4.885998396862528,
        4.8860174706435435,
        4.886037021269084,
        4.8860560950501,
        4.886075645675641,
        4.886094719456657,
        4.886113793237673,
        4.8861333438632135,
        4.8861524176442295,
        4.886171968269771,
        4.886191042050786,
        4.886210115831802,
        4.886229666457343,
        4.886248740238359,
        4.886267814019375,
        4.886287364644915,
        4.886306438425931,
        4.886325989051473,
        4.886345062832488,
        4.88649908361419,
        4.886518157395206,
        4.886537231176222,
        4.886556781801763,
        4.8865758555827785,
        4.8865949293637945,
        4.886614479989335,
        4.886633553770351,
        4.886652627551367,
        4.886672178176908,
        4.886691251957924,
        4.886710325738939,
        4.886729399519955,
        4.886748950145496,
        4.886768023926511,
        4.886787097707527,
        4.886806648333069,
        4.886825722114084,
        4.8868447958951,
        4.886863869676116,
        4.886883420301657,
        4.886902494082673,
        4.886921567863689,
        4.886940641644704,
        4.886960192270245,
        4.886979266051261,
        4.886998339832276,
        4.887017413613292,
        4.887036964238834,
        4.887056038019849,
        4.887075111800865,
        4.887094185581881,
        4.8871137362074215,
        4.8871328099884375,
        4.887151883769453,
        4.8871709575504685,
        4.88719050817601,
        4.887209581957026,
        4.887228655738041,
        4.887247729519057,
        4.887266803300073,
        4.887286353925614,
        4.88730542770663,
        4.887324501487646,
        4.887343575268661,
        4.887362649049677,
        4.887381722830693,
        4.887401273456233,
        4.887420347237249,
        4.887439421018265,
        4.88745849479928,
        4.887477568580296,
        4.887497119205838,
        4.887516192986853,
        4.887535266767869,
        4.887554340548885,
        4.887573414329901,
        4.887592488110916,
        4.887611561891932,
        4.887764628984583,
        4.887784179610124,
        4.88780325339114,
        4.887822327172156,
        4.887841400953171,
        4.887860474734187,
        4.887879548515203,
        4.887898622296218,
        4.887917696077234,
        4.88793676985825,
        4.887955843639266,
        4.8879753942648065,
        4.8879944680458225,
        4.8880135418268384,
        4.8880326156078535,
        4.8880516893888695,
        4.888070763169885,
        4.888089836950901,
        4.8881089107319164,
        4.888127984512932,
        4.888147058293948,
        4.888166132074963,
        4.888185205855979,
        4.888204279636995,
        4.888223353418011,
        4.888242427199026,
        4.888261500980042,
        4.888280574761058,
        4.888299648542074,
        4.888318722323089,
        4.888337796104105,
        4.888356869885121,
        4.888375943666136,
        4.888395494291678,
        4.888414568072694,
        4.888433641853709,
        4.888452715634725,
        4.888471789415741,
        4.888490863196757,
        4.888509460133247,
        4.888528533914262,
        4.888547607695278,
        4.888566681476294,
        4.88858575525731,
        4.888604829038325,
        4.888623902819341,
        4.888642976600357,
        4.888662050381372,
        4.888681124162388,
        4.888700197943404,
        4.88871927172442,
        4.888738345505435,
        4.888757419286451,
        4.888776493067467,
        4.888795566848483,
        4.888814640629498,
        4.888833714410514,
        4.88885278819153,
        4.888871861972546,
        4.888890935753561,
        4.888910009534577,
        4.888928606471067,
        4.888947680252083,
        4.888966754033098,
        4.888985827814114,
        4.88900490159513,
        4.889023975376146,
        4.889043049157161,
        4.889062122938177,
        4.889081196719193,
        4.889100270500209,
        4.889118867436699,
        4.889137941217714,
        4.88915701499873,
        4.889176088779746,
        4.889195162560762,
        4.889214236341777,
        4.889233310122793,
        4.889252383903809,
        4.889270980840299,
        4.8892900546213145,
        4.8893091284023305,
        4.889328202183346,
        4.889347275964362,
        4.889366349745377,
        4.889385423526393,
        4.889404020462884,
        4.8894230942439,
        4.889442168024916,
        4.889461241805931,
        4.889480315586947,
        4.889499389367963,
        4.889517986304453,
        4.889537060085469,
        4.889556133866484,
        4.8895752076475,
        4.889594281428516,
        4.889612878365006,
        4.889631952146021,
        4.889651025927037,
        4.889670099708053,
        4.889689173489069,
        4.889707770425559,
        4.889726844206574,
        4.88974591798759,
        4.889764991768606,
        4.889783588705097,
        4.889802662486113,
        4.889821736267128,
        4.889840810048144,
        4.88985988382916,
        4.88987848076565,
        4.889897554546666,
        4.889916628327681,
        4.889935702108697,
        4.889954299045187,
        4.889973372826203,
        4.889992446607218,
        4.890011520388234,
        4.8900301173247245,
        4.89004919110574,
        4.890068264886756,
        4.890086861823247,
        4.890105935604262,
        4.890125009385278,
        4.890144083166294,
        4.890162680102784,
        4.8901817538838,
        4.890200827664815,
        4.890219424601305,
        4.890238498382321,
        4.890257572163337,
        4.8902761690998275,
        4.8902952428808435,
        4.890314316661859,
        4.890332913598349,
        4.890351987379365,
        4.890371061160381,
        4.890390134941397,
        4.890408731877887,
        4.890427805658902,
        4.890446879439918,
        4.890465476376408,
        4.890484550157424,
        4.890503147093915,
        4.890522220874931,
        4.890541294655946,
        4.890559891592436,
        4.890578965373452,
        4.890598039154468,
        4.890616636090958,
        4.890635709871973,
        4.890654783652989,
        4.8906733805894795,
        4.8906924543704955,
        4.890711051306986,
        4.890730125088002,
        4.890749198869017,
        4.890767795805507,
        4.890786869586523,
        4.890805466523013,
        4.890824540304029,
        4.890843614085045,
        4.890862211021536,
        4.890881284802551,
        4.890899881739041,
        4.890918955520057,
        4.890938029301073,
        4.890956626237563,
        4.890975700018579,
        4.8909942969550695,
        4.8910133707360846,
        4.891031967672575,
        4.891051041453591,
        4.891069638390081,
        4.891088712171097,
        4.891107785952113,
        4.891126382888603,
        4.891145456669618,
        4.891164053606109,
        4.891183127387125,
        4.891201724323615,
        4.891220798104631,
        4.891239395041121,
        4.891258468822137,
        4.891409151692161,
        4.891427748628652,
        4.891446822409667,
        4.891465419346157,
        4.891484493127173,
        4.891503090063663,
        4.891522163844679,
        4.89154076078117,
        4.891559834562186,
        4.891578431498676,
        4.891597505279691,
        4.891616102216181,
        4.891635175997197,
        4.8916537729336875,
        4.8916728467147035,
        4.891691443651194,
        4.891710040587684,
        4.8917291143687,
        4.89174771130519,
        4.891766785086205,
        4.891785382022696,
        4.891804455803712,
        4.891823052740202,
        4.891841649676692,
        4.891860723457708,
        4.891879320394199,
        4.8918983941752145,
        4.891916991111705,
        4.891935588048195,
        4.89195466182921,
        4.8919732587657005,
        4.8919923325467165,
        4.892010929483207,
        4.892029526419697,
        4.892048600200713,
        4.892067197137203,
        4.892086270918219,
        4.89210486785471,
        4.8921234647912,
        4.892142538572215,
        4.892161135508705,
        4.892179732445196,
        4.892198806226212,
        4.892217403162702,
        4.892236476943718,
        4.892255073880208,
        4.8922736708166985,
        4.892835870512137,
        4.892854467448627,
        4.892873541229642,
        4.8928921381661326,
        4.892910735102623,
        4.892929332039113,
        4.892948405820129,
        4.892967002756619,
        4.89298559969311,
        4.8930041966296,
        4.893023270410616,
        4.893041867347106,
        4.893060464283597,
        4.893079061220087,
        4.893097658156577,
        4.893116731937593,
        4.8931353288740835,
        4.893153925810574,
        4.893172522747064,
        4.8931911196835545,
        4.89321019346457,
        4.893228790401061,
        4.893247387337551,
        4.893265984274041,
        4.893284581210532,
        4.893303178147022,
        4.893322251928037,
        4.893340848864527,
        4.893359445801018,
        4.893378042737508,
        4.893396639673998,
        4.893415236610489,
        4.893434310391505,
        4.893452907327995,
        4.893471504264485,
        4.8934901012009755,
        4.893508698137466,
        4.893527295073956,
        4.893545892010446,
        4.893564965791462,
        4.893583562727953,
        4.893602159664443,
        4.893620756600933,
        4.893639353537424,
        4.893657950473914,
        4.893676547410404,
        4.893695144346895,
        4.893713741283385,
        4.893732815064401,
        4.893751412000891,
        4.8937700089373815,
        4.893788605873872,
        4.893807202810362,
        4.893825799746852,
        4.893844396683343,
        4.893862993619833,
        4.893881590556323,
        4.893900187492814,
        4.893918784429304,
        4.893937381365794,
        4.893955978302285,
        4.8939750520833005,
        4.893993649019791,
        4.894012245956281,
        4.8940308428927715,
        4.894049439829262,
        4.894068036765752,
        4.894086633702242,
        4.894105230638733,
        4.894123827575223,
        4.894142424511713,
        4.894161021448204,
        4.894179618384694,
        4.894198215321184,
        4.894216812257675,
        4.894235409194165,
        4.894254006130655,
        4.8942726030671455,
        4.894291200003636,
        4.894309796940126,
        4.8943283938766164,
        4.894346990813107,
        4.894365587749597,
        4.894384184686087,
        4.894402781622578,
        4.894421378559068,
        4.894439975495558,
        4.894458572432049,
        4.894477169368539,
        4.894495766305029,
        4.89451436324152,
        4.89453296017801,
        4.8945515571145,
        4.8945701540509905,
        4.894588750987481,
        4.894607347923971,
        4.894625944860461,
        4.894644064952426,
        4.894662661888916,
        4.894681258825407,
        4.894699855761897,
        4.894718452698387,
        4.894737049634878,
        4.894755646571369,
        4.894774243507859,
        4.8947928404443495,
        4.89481143738084,
        4.89483003431733,
        4.89484863125382,
        4.894867228190311,
        4.894885348282275,
        4.894903945218766,
        4.894978332964727,
        4.894996929901217,
        4.895015526837708,
        4.895034123774198,
        4.8950522438661626,
        4.895070840802653,
        4.895089437739143,
        4.8951080346756335,
        4.895126631612124,
        4.895145228548614,
        4.895163825485104,
        4.89518194557707,
        4.89520054251356,
        4.895219139450051,
        4.895237736386541,
        4.895256333323031,
        4.8952749302595215,
        4.895293050351486,
        4.8953116472879765,
        4.895330244224467,
        4.895348841160957,
        4.8953674380974475,
        4.895386035033938,
        4.895404155125902,
        4.895422752062393,
        4.895441348998883,
        4.895459945935373,
        4.895478542871864,
        4.895496662963829,
        4.8955152599003195,
        4.89553385683681,
        4.8955524537733,
        4.8955710507097905,
        4.895589170801755,
        4.8956077677382455,
        4.895626364674736,
        4.895644961611226,
        4.895663081703191,
        4.895681678639681,
        4.895700275576171,
        4.895718872512662,
        4.895737469449152,
        4.895755589541118,
        4.895774186477608,
        4.895792783414098,
        4.895810903506063,
        4.895829500442553,
        4.8958480973790435,
        4.895866694315534,
        4.8958848144074985,
        4.895903411343989,
        4.895922008280479,
        4.895940605216969,
        4.895958725308935,
        4.895977322245425,
        4.895995919181916,
        4.89601403927388,
        4.8960326362103705,
        4.896051233146861,
        4.896069830083351,
        4.896087950175316,
        4.896106547111806,
        4.8961251440482965,
        4.896143264140262,
        4.896161861076752,
        4.896180458013243,
        4.896198578105207,
        4.896217175041698,
        4.896235771978188,
        4.896253892070153,
        4.896272489006643,
        4.896291085943133,
        4.896309206035099,
        4.896327802971589,
        4.896346399908079,
        4.896364520000044,
        4.896383116936534,
        4.896401713873025,
        4.896419833964989,
        4.89643843090148,
        4.89645702783797,
        4.8964751479299355,
        4.896493744866426,
        4.8965118649583905,
        4.896530461894881,
        4.896549058831371,
        4.896567178923336,
        4.896585775859826,
        4.896603895951792,
        4.896622492888282,
        4.896641089824772,
        4.896659209916737,
        4.896677806853227,
        4.896695926945192,
        4.896714523881682,
        4.896733120818173,
        4.896751240910138,
        4.8967698378466284,
        4.896787957938593,
        4.896806554875083,
        4.896825151811574,
        4.896843271903538,
        4.896861868840029,
        4.896879988931994,
        4.896898585868485,
        4.896916705960449,
        4.89693530289694,
        4.896953422988904,
        4.8969720199253945,
        4.896990140017359,
        4.8970087369538495,
        4.899665476227076,
        4.902653145600926,
        4.902675080449094,
        4.902696538452736,
        4.902718473300904,
        4.902740408149072,
        4.9027623429972405,
        4.902783801000884,
        4.902805735849052,
        4.90282767069722,
        4.902849605545388,
        4.90287106354903,
        4.902892998397198,
        4.902914933245366,
        4.902936868093534,
        4.902958326097178,
        4.902980260945346,
        4.903002195793514,
        4.903023653797156,
        4.903045588645324,
        4.903067523493492,
        4.90308945834166,
        4.903110916345303,
        4.903132851193471,
        4.90315478604164,
        4.903176244045282,
        4.90319817889345,
        4.903220113741618,
        4.90324157174526,
        4.9032635065934285,
        4.9032854414415965,
        4.90330689944524,
        4.903328834293408,
        4.903350769141576,
        4.903372227145218,
        4.903394161993386,
        4.903416096841554,
        4.903437554845197,
        4.903459489693365,
        4.903481424541534,
        4.903502882545176,
        4.903524817393344,
        4.903546752241512,
        4.9035682102451545,
        4.903590145093323,
        4.903612079941491,
        4.903633537945134,
        4.903655472793302,
        4.903676930796944,
        4.903698865645112,
        4.90372080049328,
        4.903742258496923,
        4.903764193345091,
        4.903785651348734,
        4.903807586196902,
        4.90382952104507,
        4.903850979048713,
        4.903872913896881,
        4.903894371900524,
        4.903916306748692,
        4.90393824159686,
        4.903959699600502,
        4.90398163444867,
        4.904003092452313,
        4.904025027300481,
        4.904046485304124,
        4.904068420152292,
        4.904089878155935,
        4.904111813004103,
        4.904133747852271,
        4.904155205855913,
        4.904177140704082,
        4.904198598707724,
        4.904220533555892,
        4.904241991559535,
        4.904263926407703,
        4.904285384411346,
        4.904307319259514,
        4.9043287772631565,
        4.904350712111325,
        4.904372170114967,
        4.904394104963135,
        4.904415562966778,
        4.904437497814946,
        4.904458955818589,
        4.904480890666757,
        4.904502348670399,
        4.904524283518567,
        4.9045457415222105,
        4.9045676763703785,
        4.904589134374021,
        4.904611069222189,
        4.904632527225831,
        4.904653985229475,
        4.904675920077643,
        4.904697378081285,
        4.904719312929453,
        4.904740770933096,
        4.904762705781264,
        4.904784163784907,
        4.904806098633075,
        4.904827556636717,
        4.9048490146403605,
        4.9048709494885285,
        4.904892407492171,
        4.904914342340339,
        4.904935800343981,
        4.904957258347625,
        4.904979193195793,
        4.905000651199435,
        4.905022586047603,
        4.9050440440512455,
        4.905065502054889,
        4.905087436903057,
        4.905108894906699,
        4.905130829754867,
        4.90515228775851,
        4.905173745762153,
        4.905195680610321,
        4.905217138613963,
        4.905238596617606,
        4.905260531465774,
        4.905281989469417,
        4.905303924317585,
        4.9053253823212275,
        4.90534684032487,
        4.905368775173039,
        4.905390233176681,
        4.905411691180324,
        4.905433626028492,
        4.905455084032135,
        4.905476542035777,
        4.905498476883945,
        4.905519934887588,
        4.905541392891231,
        4.905562850894873,
        4.9055847857430415,
        4.905606243746684,
        4.905627701750327,
        4.905649636598495,
        4.905671094602138,
        4.90569255260578,
        4.905714487453948,
        4.905735945457591,
        4.905757403461234,
        4.905778861464876,
        4.905800796313044,
        4.905822254316687,
        4.90584371232033,
        4.905865170323972,
        4.90588710517214,
        4.9059085631757835,
        4.905930021179426,
        4.905951479183068,
        4.905973414031236,
        4.90599487203488,
        4.906016330038522,
        4.906037788042164,
        4.906059722890332,
        4.906081180893976,
        4.906102638897618,
        4.9061240969012605,
        4.9061460317494285,
        4.906167489753072,
        4.906188947756714,
        4.906210405760357,
        4.906231863764,
        4.906253798612168,
        4.90627525661581,
        4.906296714619453,
        4.906318172623096,
        4.906339630626738,
        4.906361088630381,
        4.906383023478549,
        4.906404481482192,
        4.9064259394858345,
        4.906447397489477,
        4.90646885549312,
        4.906490313496763,
        4.906512248344931,
        4.906533706348573,
        4.906555164352216,
        4.906576622355859,
        4.906598080359501,
        4.906619538363144,
        4.906640996366787,
        4.906662931214955,
        4.906684389218597,
        4.9067058472222405,
        4.906727305225883,
        4.906748763229525,
        4.9067702212331685,
        4.906791679236811,
        4.906813137240453,
        4.906835072088621,
        4.906856530092265,
        4.906877988095907,
        4.906899446099549,
        4.906920904103193,
        4.906942362106835,
        4.9069638201104775,
        4.906985278114121,
        4.907006736117763,
        4.907028194121406,
        4.907049652125049,
        4.907071110128691,
        4.907093044976859,
        4.907114502980502,
        4.907135960984145,
        4.907157418987787,
        4.90717887699143,
        4.907200334995072,
        4.907221792998715,
        4.907243251002358,
        4.907264709006,
        4.9072861670096435,
        4.907307625013286,
        4.907329083016928,
        4.9073505410205716,
        4.907371999024214,
        4.907393457027856,
        4.9074149150315,
        4.907436373035142,
        4.907457831038784,
        4.907479289042428,
        4.90750074704607,
        4.9075222050497125,
        4.907543663053356,
        4.907565121056998,
        4.9075865790606406,
        4.907608037064284,
        4.907629495067926,
        4.907650953071569,
        4.907672411075212,
        4.907693869078854,
        4.907715327082497,
        4.90773678508614,
        4.907758243089782,
        4.907779701093425,
        4.907801159097068,
        4.90782261710071,
        4.907843598259827,
        4.9078650562634705,
        4.907886514267113,
        4.907907972270755,
        4.9079294302743985,
        4.907950888278041,
        4.908100617459015,
        4.908122075462657,
        4.9081435334662995,
        4.908164991469943,
        4.908186449473585,
        4.908207907477228,
        4.908229365480871,
        4.908250823484513,
        4.908272281488156,
        4.908293262647273,
        4.908314720650916,
        4.908336178654558,
        4.908357636658201,
        4.908379094661844,
        4.908400552665486,
        4.908421533824604,
        4.908442991828246,
        4.9084644498318895,
        4.908485907835532,
        4.908507365839174,
        4.9085288238428175,
        4.908549805001934,
        4.908571263005578,
        4.90859272100922,
        4.908614179012862,
        4.908635637016506,
        4.908657095020148,
        4.908678076179265,
        4.908699534182908,
        4.9087209921865504,
        4.908742450190193,
        4.908763908193836,
        4.908784889352953,
        4.908806347356596,
        4.9088278053602385,
        4.908849263363881,
        4.908870244522999,
        4.908891702526641,
        4.908913160530284,
        4.908934618533927,
        4.908955599693044,
        4.908977057696687,
        4.908998515700329,
        4.9090199737039715,
        4.909040954863089,
        4.9090624128667315,
        4.909083870870375,
        4.909105328874017,
        4.909126310033135,
        4.909147768036777,
        4.90916922604042,
        4.909190684044063,
        4.90921166520318,
        4.909233123206823,
        4.909254581210465,
        4.909275562369582,
        4.909297020373225,
        4.909318478376868,
        4.90933993638051,
        4.909360917539628,
        4.90938237554327,
        4.9094038335469135,
        4.90942481470603,
        4.9094462727096735,
        4.909467730713316,
        4.9094887118724335,
        4.909510169876076,
        4.909531627879718,
        4.909552609038836,
        4.909574067042478,
        4.909595525046121,
        4.909616506205238,
        4.909637964208881,
        4.909659422212524,
        4.909680403371641,
        4.909701861375284,
        4.909722842534401,
        4.909744300538044,
        4.9097657585416865,
        4.909786739700804,
        4.9098081977044465,
        4.909829655708089,
        4.909850636867207,
        4.909872094870849,
        4.909893076029967,
        4.909914534033609,
        4.909935992037251,
        4.909956973196369,
        4.909978431200011,
        4.909999412359129,
        4.9100208703627715,
        4.910042328366415,
        4.9100633095255315,
        4.910084767529174,
        4.9101057486882915,
        4.910127206691934,
        4.910148187851052,
        4.910169645854694,
        4.910190627013812,
        4.910212085017454,
        4.910233543021097,
        4.910254524180214,
        4.910275982183856,
        4.910296963342974,
        4.9103184213466164,
        4.910339402505734,
        4.9103608605093765,
        4.910381841668494,
        4.9104032996721365,
        4.910424280831254,
        4.9104457388348965,
        4.910466719994014,
        4.910488177997657,
        4.910509159156774,
        4.910530617160417,
        4.910551598319534,
        4.910573056323177,
        4.910594037482294,
        4.910615495485937,
        4.910636476645053,
        4.910657934648697,
        4.9106789158078135,
        4.910700373811457,
        4.9107213549705735,
        4.910742812974217,
        4.9107637941333335,
        4.910785252136977,
        4.910806233296094,
        4.910827691299737,
        4.910848672458854,
        4.910869653617971,
        4.910891111621614,
        4.910912092780731,
        4.910933550784374,
        4.910954531943491,
        4.910975989947134,
        4.910996971106251,
        4.911017952265368,
        4.9110394102690105,
        4.911060391428128,
        4.9110818494317705,
        4.911102830590888,
        4.9111242885945305,
        4.911145269753648,
        4.911166250912766,
        4.911187708916408,
        4.911208690075525,
        4.911229671234643,
        4.911251129238285,
        4.911272110397403,
        4.911293568401045,
        4.911314549560163,
        4.91133553071928,
        4.911356988722923,
        4.9113779698820395,
        4.911398951041157,
        4.9114204090447995,
        4.911441390203917,
        4.9114628482075595,
        4.911483829366677,
        4.911504810525795,
        4.911526268529437,
        4.911547249688554,
        4.911568230847672,
        4.911589688851314,
        4.911610670010432,
        4.911631651169549,
        4.911652632328666,
        4.911674090332309,
        4.911695071491426,
        4.911716052650544,
        4.911737510654186,
        4.911758491813304,
        4.9117794729724205,
        4.911800930976064,
        4.9118219121351805,
        4.911842893294298,
        4.911863874453415,
        4.911885332457058,
        4.911906313616175,
        4.9119272947752926,
        4.911948752778935,
        4.911969733938053,
        4.911990715097169,
        4.912011696256287,
        4.912033154259929,
        4.912054135419047,
        4.912075116578165,
        4.912096097737281,
        4.912117555740925,
        4.912138536900041,
        4.912159518059159,
        4.912180499218276,
        4.9122014803773935,
        4.912222938381036,
        4.9122439195401535,
        4.91226490069927,
        4.912285881858388,
        4.91230733986203,
        4.912328321021148,
        4.9123493021802656,
        4.912370283339382,
        4.9123912644985,
        4.912412722502142,
        4.91243370366126,
        4.912454684820377,
        4.912475665979494,
        4.912496647138612,
        4.912517628297729,
        4.912539086301371,
        4.912560067460489,
        4.912581048619606,
        4.912602029778723,
        4.912623010937841,
        4.9126439920969585,
        4.912665450100601,
        4.912686431259718,
        4.912707412418835,
        4.912728393577953,
        4.91274937473707,
        4.912770355896187,
        4.912791337055304,
        4.912812795058947,
        4.912833776218064,
        4.912854757377182,
        4.912875738536299,
        4.912896719695416,
        4.912917700854534,
        4.9129386820136505,
        4.912959663172768,
        4.912980644331886,
        4.913002102335528,
        4.913023083494646,
        4.9130440646537625,
        4.91306504581288,
        4.913086026971997,
        4.913107008131115,
        4.913127989290232,
        4.913148970449349,
        4.913169951608467,
        4.913190932767583,
        4.913211913926701,
        4.913232895085819,
        4.913253876244935,
        4.913274857404053,
        4.913296315407695,
        4.913317296566813,
        4.91333827772593,
        4.913359258885047,
        4.913380240044165,
        4.913401221203282,
        4.9134222023623995,
        4.913443183521516,
        4.913464164680634,
        4.9134851458397515,
        4.913506126998868,
        4.913527108157986,
        4.913548089317103,
        4.91356907047622,
        4.913590051635338,
        4.913611032794455,
        4.913632013953572,
        4.913652995112689,
        4.913673976271807,
        4.913694957430924,
        4.913715938590041,
        4.913736919749159,
        4.9137579009082755,
        4.913778882067393,
        4.913799863226511,
        4.9138208443856275,
        4.9138413487002195,
        4.913862329859337,
        4.913883311018454,
        4.9139042921775715,
        4.913925273336689,
        4.913946254495806,
        4.9139672356549235,
        4.91398821681404,
        4.914009197973158,
        4.914030179132276,
        4.914051160291392,
        4.91407214145051,
        4.914093122609627,
        4.914114103768744,
        4.914135084927862,
        4.914155589242453,
        4.914176570401571,
        4.914197551560688,
        4.914218532719805,
        4.914239513878923,
        4.91426049503804,
        4.914281476197157,
        4.914302457356275,
        4.9143234385153916,
        4.9143439428299835,
        4.914364923989101,
        4.914385905148218,
        4.914406886307336,
        4.914427867466453,
        4.91444884862557,
        4.914469829784688,
        4.91449033409928,
        4.914511315258396,
        4.914532296417514,
        4.914553277576632,
        4.914574258735748,
        4.914595239894866,
        4.914615744209458,
        4.914636725368575,
        4.914657706527692,
        4.914678687686809,
        4.914699668845927,
        4.914720650005044,
        4.914741154319636,
        4.914762135478753,
        4.914783116637871,
        4.914804097796988,
        4.914825078956105,
        4.914845583270697,
        4.914866564429814,
        4.914887545588932,
        4.914908526748049,
        4.914929031062641,
        4.914950012221758,
        4.914970993380876,
        4.914991974539992,
        4.91501295569911,
        4.915033460013702,
        4.915054441172819,
        4.915075422331936,
        4.915096403491054,
        4.915116907805646,
        4.915137888964763,
        4.91515887012388,
        4.915179851282997,
        4.915200355597589,
        4.915221336756707,
        4.9152423179158236,
        4.9152628222304156,
        4.915283803389533,
        4.915304784548651,
        4.915325765707768,
        4.91534627002236,
        4.915367251181477,
        4.915388232340594,
        4.915408736655186,
        4.915429717814304,
        4.91545069897342,
        4.915471203288012,
        4.91549218444713,
        4.915513165606247,
        4.915534146765364,
        4.915554651079956,
        4.915575632239074,
        4.915596613398191,
        4.915617117712783,
        4.9156380988719,
        4.915658603186492,
        4.915679584345609,
        4.915700565504727,
        4.915721069819319,
        4.9157420509784355,
        4.915763032137553,
        4.915783536452145,
        4.915804517611262,
        4.9158254987703796,
        4.9158460030849715,
        4.915866984244088,
        4.91588748855868,
        4.915908469717798,
        4.915929450876916,
        4.915949955191507,
        4.915970936350624,
        4.915991917509742,
        4.916012421824334,
        4.916033402983451,
        4.916053907298043,
        4.91607488845716,
        4.916095392771752,
        4.916116373930869,
        4.916137355089987,
        4.916157859404579,
        4.9161788405636955,
        4.9161993448782875,
        4.916220326037405,
        4.916240830351997,
        4.916261811511114,
        4.9162827926702315,
        4.9163032969848235,
        4.91632427814394,
        4.916344782458532,
        4.91636576361765,
        4.916386267932242,
        4.916407249091359,
        4.916427753405951,
        4.916448734565068,
        4.91646923887966,
        4.916490220038777,
        4.916510724353369,
        4.916531705512487,
        4.916552209827079,
        4.916573190986195,
        4.916593695300787,
        4.916614676459905,
        4.916635180774497,
        4.916656161933614,
        4.916676666248206,
        4.916697647407323,
        4.916718151721915,
        4.916739132881032,
        4.916759637195624,
        4.916780618354742,
        4.916801122669334,
        4.9168221038284505,
        4.9168426081430425,
        4.91686358930216,
        4.916884093616752,
        4.916905074775869,
        4.916925579090461,
        4.916946083405053,
        4.9169670645641705,
        4.916987568878762,
        4.917008550037879,
        4.917029054352471,
        4.917050035511589,
        4.91707053982618,
        4.917091044140772,
        4.91711202529989,
        4.917132529614482,
        4.917153510773598,
        4.91717401508819,
        4.917194519402782,
        4.9172155005619,
        4.917236004876492,
        4.917256986035609,
        4.917277490350201,
        4.917297994664793,
        4.91731897582391,
        4.917339480138502,
        4.917360461297619,
        4.917380965612211,
        4.917401469926803,
        4.917422451085921,
        4.917442955400512,
        4.917463459715104,
        4.9174844408742215,
        4.9175049451888135,
        4.9175254495034055,
        4.917546430662522,
        4.917566934977114,
        4.917587439291706,
        4.917608420450824,
        4.917628924765416,
        4.917649429080007,
        4.917670410239125,
        4.917690914553717,
        4.917711418868309,
        4.917732400027425,
        4.917752904342017,
        4.917773408656609,
        4.917794389815727,
        4.917814894130319,
        4.917835398444911,
        4.917856379604028,
        4.91787688391862,
        4.917897388233212,
        4.917917892547804,
        4.9179388737069205,
        4.9179593780215125,
        4.9179798823361045,
        4.9180003866506965,
        4.918021367809814,
        4.918041872124406,
        4.918062376438997,
        4.918083357598115,
        4.918103861912707,
        4.918124366227299,
        4.918144870541891,
        4.918165374856483,
        4.9181863560156,
        4.918206860330192,
        4.918227364644784,
        4.918247868959376,
        4.918268850118492,
        4.918289354433084,
        4.918309858747676,
        4.918330363062268,
        4.918351344221386,
        4.918371848535978,
        4.91839235285057,
        4.918412857165161,
        4.918433361479753,
        4.918453865794345,
        4.918474846953463,
        4.918495351268055,
        4.918515855582647,
        4.918536359897238,
        4.91855686421183,
        4.918577845370947,
        4.918598349685539,
        4.918618854000131,
        4.918639358314723,
        4.9186598626293145,
        4.9186803669439065,
        4.918701348103024,
        4.918721852417616,
        4.918742356732208,
        4.9187628610468,
        4.918783365361392,
        4.918803869675983,
        4.918824373990575,
        4.918844878305167,
        4.918865859464285,
        4.918886363778877,
        4.918906868093469,
        4.91892737240806,
        4.918947876722652,
        4.918968381037244,
        4.918988885351836,
        4.919009389666428,
        4.91902989398102,
        4.919050875140137,
        4.919071379454729,
        4.919091883769321,
        4.919112388083913,
        4.919132892398505,
        4.919153396713097,
        4.919173901027689,
        4.919194405342281,
        4.919214909656873,
        4.919235413971464,
        4.919255918286056,
        4.919276422600648,
        4.91929692691524,
        4.919317431229832,
        4.919338412388949,
        4.9193589167035405,
        4.9193794210181325,
        4.9193999253327245,
        4.9194204296473165,
        4.9194409339619085,
        4.9194614382765005,
        4.9194819425910925,
        4.9195024469056845,
        4.9195229512202765,
        4.919543455534868,
        4.91956395984946,
        4.919584464164052,
        4.919604968478644,
        4.919625472793236,
        4.919645977107828,
        4.91966648142242,
        4.919686985737012,
        4.919707490051604,
        4.919727994366195,
        4.919748498680787,
        4.919769002995379,
        4.919789507309971,
        4.919810011624563,
        4.919830515939155,
        4.919851020253747,
        4.919871047723813,
        4.919891552038405,
        4.919912056352997,
        4.919932560667589,
        4.91995306498218,
        4.919973569296772,
        4.919994073611364,
        4.920014577925956,
        4.920035082240548,
        4.92005558655514,
        4.920076090869732,
        4.920096595184324,
        4.920117099498916,
        4.920137603813507,
        4.920157631283574,
        4.920178135598166,
        4.9201986399127575,
        4.9202191442273495,
        4.9202396485419415,
        4.9202601528565335,
        4.9202806571711255,
        4.9203011614857175,
        4.9203216658003095,
        4.9203421701149015,
        4.920362197584968,
        4.92038270189956,
        4.920403206214152,
        4.920423710528743,
        4.920444214843335,
        4.920464719157927,
        4.920485223472519,
        4.920505250942585,
        4.920525755257177,
        4.920546259571769,
        4.920566763886361,
        4.920587268200953,
        4.920607772515545,
        4.920627799985612,
        4.920648304300204,
        4.920668808614796,
        4.920689312929388,
        4.920709817243979,
        4.920730321558571,
        4.920750349028637,
        4.920770853343229,
        4.920791357657821,
        4.920811861972413,
        4.920832366287005,
        4.920852393757071,
        4.920872898071663,
        4.920893402386255,
        4.920913906700847,
        4.920933934170914,
        4.920954438485506,
        4.920974942800098,
        4.92099544711469,
        4.921015951429282,
        4.921035978899348,
        4.92105648321394,
        4.921076987528531,
        4.921097491843123,
        4.92111751931319,
        4.9211380236277815,
        4.9211585279423735,
        4.9211790322569655,
        4.921199059727032,
        4.921219564041624,
        4.921240068356216,
        4.921260095826282,
        4.921280600140874,
        4.921301104455466,
        4.921321608770058,
        4.9213416362401246,
        4.9213621405547165,
        4.9213826448693085,
        4.921402672339375,
        4.921423176653967,
        4.921443680968559,
        4.921463708438625,
        4.921484212753217,
        4.921504717067809,
        4.921525221382401,
        4.921545248852468,
        4.92156575316706,
        4.921586257481652,
        4.921606284951718,
        4.92162678926631,
        4.921647293580902,
        4.921667321050968,
        4.92168782536556,
        4.921707852835627,
        4.921728357150219,
        4.921748861464811,
        4.921768888934877,
        4.921789393249469,
        4.921809897564061,
        4.921829925034127,
        4.921850429348719,
        4.92187093366331,
        4.921890961133378,
        4.92191146544797,
        4.921931492918036,
        4.921951997232628,
        4.921972501547219,
        4.921992529017286,
        4.922013033331878,
        4.922033060801945,
        4.922053565116537,
        4.922074069431128,
        4.922094096901195,
        4.922114601215786,
        4.922134628685853,
        4.922155133000445,
        4.922175160470512,
        4.922195664785104,
        4.922216169099695,
        4.922236196569762,
        4.922256700884354,
        4.92227672835442,
        4.922297232669012,
        4.922317260139079,
        4.922337764453671,
        4.922357791923737,
        4.922378296238329,
        4.9223983237083955,
        4.9224188280229875,
        4.9224393323375795,
        4.922459359807646,
        4.922479864122238,
        4.922499891592304,
        4.922520395906896,
        4.9225404233769625,
        4.9225609276915545,
        4.922580955161621,
        4.922601459476213,
        4.922621486946279,
        4.922641991260871,
        4.922662018730938,
        4.92268252304553,
        4.922702550515596,
        4.922723054830188,
        4.922743082300254,
        4.922763109770321,
        4.922783614084913,
        4.922803641554979,
        4.922824145869571,
        4.922844173339637,
        4.922864677654229,
        4.9228847051242965,
        4.922905209438888,
        4.922925236908955,
        4.922945741223546,
        4.922965768693613,
        4.92298579616368,
        4.923006300478272,
        4.923026327948338,
        4.92304683226293,
        4.923066859732996,
        4.923087364047588,
        4.923107391517655,
        4.923127418987721,
        4.923147923302313,
        4.923167950772379,
        4.923188455086971,
        4.923208482557038,
        4.923228510027104,
        4.923249014341696,
        4.923269041811762,
        4.923289546126354,
        4.923309573596422,
        4.923329601066488,
        4.92335010538108,
        4.923370132851146,
        4.923390160321213,
        4.923410664635805,
        4.923430692105871,
        4.923450719575937,
        4.923471223890529,
        4.923491251360596,
        4.923511755675188,
        4.923531783145254,
        4.92355181061532,
        4.923572314929912,
        4.923592342399979,
        4.923612369870046,
        4.923632874184638,
        4.923652901654704,
        4.923672929124771,
        4.923692956594837,
        4.923713460909429,
        4.923733488379495,
        4.923753515849562,
        4.923774020164154,
        4.92379404763422,
        4.9238140751042865,
        4.9238345794188785,
        4.923854606888946,
        4.923874634359012,
        4.923894661829078,
        4.92391516614367,
        4.923935193613737,
        4.923955221083803,
        4.9239752485538695,
        4.9239957528684615,
        4.924015780338528,
        4.924035807808594,
        4.924056312123186,
        4.924076339593253,
        4.92409636706332,
        4.924116394533386,
        4.924136898847978,
        4.9241569263180445,
        4.924176953788111,
        4.924196981258177,
        4.9242170087282435,
        4.9242375130428355,
        4.924257540512903,
        4.924277567982969,
        4.9242975954530355,
        4.9243180997676275,
        4.924338127237694,
        4.92435815470776,
        4.9243781821778265,
        4.924398209647893,
        4.924418713962485,
        4.924438741432551,
        4.9244587689026185,
        4.924478796372685,
        4.924498823842751,
        4.9245188513128175,
        4.9245393556274095,
        4.924559383097476,
        4.924579410567542,
        4.9245994380376095,
        4.924619465507676,
        4.924639492977742,
        4.924659997292334,
        4.9246800247624005,
        4.924700052232467,
        4.924720079702533,
        4.9247401071726,
        4.924760134642667,
        4.924780162112733,
        4.924800666427325,
        4.9248206938973915,
        4.924840721367458,
        4.924860748837524,
        4.924880776307591,
        4.924900803777657,
        4.924920831247724,
        4.9249408587177905,
        4.924960886187857,
        4.924980913657923,
        4.925001417972515,
        4.925021445442582,
        4.925041472912648,
        4.925061500382715,
        4.9250815278527815,
        4.925101555322848,
        4.925121582792914,
        4.925141610262981,
        4.925161637733047,
        4.925181665203114,
        4.9252016926731805,
        4.925221720143247,
        4.925241747613313,
        4.92526177508338,
        4.925282279397972,
        4.925302306868038,
        4.925322334338104,
        4.9253423618081715,
        4.925362389278238,
        4.925382416748304,
        4.925402444218371,
        4.925422471688437,
        4.925442499158503,
        4.9254625266285705,
        4.925482554098637,
        4.925502581568703,
        4.92552260903877,
        4.925542636508836,
        4.925562663978902,
        4.9255826914489695,
        4.925602718919036,
        4.925622746389102,
        4.925642773859169,
        4.925662801329235,
        4.925682828799301,
        4.9257028562693685,
        4.925722883739435,
        4.925742911209501,
        4.925762938679568,
        4.925782966149634,
        4.9258029936197,
        4.9258230210897676,
        4.925842571715308,
        4.925862599185375,
        4.925882626655441,
        4.925902654125508,
        4.925922681595575,
        4.925942709065641,
        4.925962736535707,
        4.925982764005774,
        4.92600279147584,
        4.926022818945907,
        4.926042846415974,
        4.92606287388604,
        4.926082901356106,
        4.926102928826173,
        4.926122479451714,
        4.926142506921781,
        4.926162534391847,
        4.926182561861913,
        4.92620258933198,
        4.926222616802047,
        4.926242644272113,
        4.92626267174218,
        4.926282699212246,
        4.9263022498377875,
        4.926322277307854,
        4.92634230477792,
        4.926362332247987,
        4.926382359718053,
        4.926402387188119,
        4.9264224146581865,
        4.926441965283727,
        4.926461992753794,
        4.92648202022386,
        4.926502047693926,
        4.9265220751639935,
        4.92654210263406,
        4.926561653259601,
        4.926581680729667,
        4.926601708199734,
        4.9266217356698006,
        4.926641763139867,
        4.926661790609933,
        4.926681341235475,
        4.926701368705541,
        4.926721396175608,
        4.926741423645674,
        4.92676145111574,
        4.926781001741282,
        4.926801029211348,
        4.926821056681415,
        4.926841084151481,
        4.9268606347770225,
        4.926880662247089,
        4.926900689717155,
        4.926920717187222,
        4.926940744657288,
        4.9269602952828295,
        4.926980322752896,
        4.927000350222962,
        4.927020377693029,
        4.92703992831857,
        4.9270599557886365,
        4.927079983258703,
        4.927100010728769,
        4.927119561354311,
        4.927139588824377,
        4.9271596162944435,
        4.927179166919984,
        4.9271991943900515,
        4.927219221860118,
        4.927239249330184,
        4.927258799955725,
        4.927278827425792,
        4.9272988548958585,
        4.927318405521399,
        4.927338432991466,
        4.927358460461533,
        4.927378487931599,
        4.92739803855714,
        4.927418066027206,
        4.9274380934972735,
        4.927457644122814,
        4.9274776715928805,
        4.927497699062947,
        4.9275172496884885,
        4.927537277158555,
        4.927557304628621,
        4.927576855254163,
        4.927596882724229,
        4.9276169101942955,
        4.927636460819836,
        4.9276564882899025,
        4.927676038915444,
        4.9276960663855105,
        4.927716093855577,
        4.9277356444811184,
        4.927755671951185,
        4.927775699421251,
        4.927795250046793,
        4.927815277516859,
        4.9278348281424,
        4.927854855612466,
        4.9278748830825325,
        4.927894433708074,
        4.9279144611781405,
        4.927934011803682,
        4.927954039273748,
        4.927974066743815,
        4.9279936173693555,
        4.928013644839422,
        4.928033195464963,
        4.92805322293503,
        4.928073250405096,
        4.928092801030638,
        4.928112828500704,
        4.928132379126245,
        4.928152406596312,
        4.928171957221853,
        4.928191984691919,
        4.928211535317461,
        4.928231562787527,
        4.928251590257593,
        4.928271140883134,
        4.928291168353201,
        4.928310718978742,
        4.928330746448808,
        4.92835029707435,
        4.928370324544416,
        4.928389875169957,
        4.928409902640023,
        4.928429453265565,
        4.928449480735631,
        4.928469031361172,
        4.928489058831239,
        4.92850860945678,
        4.928528636926846,
        4.928548187552388,
        4.928568215022454,
        4.928587765647995,
        4.928607793118061,
        4.928627343743603,
        4.928647371213669,
        4.928666921839211,
        4.928686949309277,
        4.928706499934818,
        4.928726527404884,
        4.928746078030426,
        4.928765628655967,
        4.928785656126033,
        4.928805206751575,
        4.928825234221641,
        4.928844784847182,
        4.928864812317249,
        4.92888436294279,
        4.928904390412856,
        4.928923941038398,
        4.928943491663938,
        4.928963519134005,
        4.928983069759546,
        4.929003097229613,
        4.929022647855153,
        4.929042198480695,
        4.929062225950761,
        4.929081776576302,
        4.929101804046369,
        4.92912135467191,
        4.9291409052974515,
        4.929160932767518,
        4.929180483393059,
        4.929200510863125,
        4.9292200614886665,
        4.929239612114207,
        4.929259639584274,
        4.929279190209815,
        4.929298740835356,
        4.929318768305422,
        4.929338318930964,
        4.92935834640103,
        4.929377897026572,
        4.9293974476521125,
        4.929417475122179,
        4.9294370257477205,
        4.929456576373261,
        4.9294766038433275,
        4.929496154468869,
        4.92951570509441,
        4.929535732564476,
        4.929555283190018,
        4.9295748338155585,
        4.9295943844411,
        4.9296144119111664,
        4.929633962536707,
        4.929653513162249,
        4.929673540632315,
        4.929693091257856,
        4.929712641883397,
        4.929732669353464,
        4.9297522199790045,
        4.929771770604546,
        4.929791321230087,
        4.929811348700153,
        4.929830899325695,
        4.9298504499512354,
        4.929870477421303,
        4.929890028046843,
        4.929909578672384,
        4.929929129297926,
        4.929949156767992,
        4.929968707393533,
        4.929988258019074,
        4.930007808644615,
        4.930027836114682,
        4.930047386740223,
        4.930066937365764,
        4.930086487991305,
        4.930106038616846,
        4.930126066086913,
        4.930145616712454,
        4.930165167337995,
        4.930184717963536,
        4.930204745433603,
        4.930224296059143,
        4.930243846684685,
        4.930263397310226,
        4.930282947935767,
        4.930302975405834,
        4.930322526031374,
        4.930342076656916,
        4.930361627282457,
        4.930381177907998,
        4.930400728533539,
        4.930420756003605,
        4.930440306629147,
        4.930459857254688,
        4.930479407880229,
        4.93049895850577,
        4.9305185091313115,
        4.930538536601378,
        4.930558087226919,
        4.93057763785246,
        4.930597188478001,
        4.9306167391035425,
        4.930636289729083,
        4.930655840354625,
        4.930675867824691,
        4.930695418450232,
        4.9307149690757734,
        4.930734519701314,
        4.930754070326856,
        4.9307736209523965,
        4.930793171577937,
        4.930812722203479,
        4.9308322728290195,
        4.930852300299086,
        4.930871850924627,
        4.930891401550168,
        4.93091095217571,
        4.9309305028012504,
        4.930950053426792,
        4.930969604052333,
        4.930989154677874,
        4.931008705303415,
        4.931028255928957,
        4.931047806554497,
        4.931067357180038,
        4.93108690780558,
        4.93110645843112,
        4.931126485901187,
        4.931146036526728,
        4.931165587152269,
        4.931185137777811,
        4.931204688403351,
        4.931224239028893,
        4.931243789654434,
        4.931263340279975,
        4.931282890905516,
        4.931302441531058,
        4.931321992156598,
        4.931341542782139,
        4.931361093407681,
        4.931380644033221,
        4.931400194658763,
        4.931419745284304,
        4.931439295909845,
        4.931458846535386,
        4.9314783971609275,
        4.931497947786468,
        4.931517498412009,
        4.9315370490375505,
        4.931556599663091,
        4.931576150288633,
        4.9315957009141735,
        4.931615251539715,
        4.931634802165256,
        4.9316543527907974,
        4.931673903416338,
        4.93169345404188,
        4.931712527822895,
        4.931732078448436,
        4.931751629073977,
        4.931771179699519,
        4.931790730325059,
        4.931810280950601,
        4.931829831576142,
        4.9318493822016825,
        4.931868932827224,
        4.931888483452765,
        4.931908034078306,
        4.931927584703847,
        4.931947135329389,
        4.931966685954929,
        4.931985759735945,
        4.932005310361486,
        4.932024860987028,
        4.932044411612568,
        4.93206396223811,
        4.932083512863651,
        4.932103063489192,
        4.932122614114733,
        4.932142164740274,
        4.93216123852129,
        4.932180789146831,
        4.932200339772372,
        4.9322198903979135,
        4.932239441023454,
        4.932258991648995,
        4.9322785422745365,
        4.9322976160555525,
        4.932317166681093,
        4.932336717306635,
        4.9323562679321755,
        4.932375818557716,
        4.932395369183258,
        4.932414442964274,
        4.9324339935898145,
        4.932453544215355,
        4.932473094840897,
        4.9324926454664375,
        4.932512196091979,
        4.932531269872995,
        4.932550820498536,
        4.9325703711240765,
        4.932589921749618,
        4.932609472375159,
        4.932628546156175,
        4.932648096781716,
        4.932667647407257,
        4.932687198032798,
        4.932706271813814,
        4.932725822439355,
        4.932745373064896,
        4.932764923690438,
        4.932784474315978,
        4.932803548096994,
        4.932823098722535,
        4.932842649348077,
        4.932862199973617,
        4.932881273754633,
        4.932900824380174,
        4.932920375005716,
        4.932939925631256,
        4.932958999412272,
        4.932978550037813,
        4.9329981006633545,
        4.9330171744443705,
        4.933036725069911,
        4.933056275695452,
        4.9330758263209935,
        4.9330949001020095,
        4.93311445072755,
        4.933134001353091,
        4.933153075134107,
        4.933172625759648,
        4.933192176385189,
        4.933211727010731,
        4.933230800791746,
        4.933250351417287,
        4.933269902042828,
        4.933288975823844,
        4.933308526449385,
        4.93350260217122,
        4.933521675952235,
        4.933541226577777,
        4.933560300358793,
        4.933579850984334,
        4.933599401609875,
        4.93361847539089,
        4.933638026016432,
        4.933657576641973,
        4.9336766504229885,
        4.933696201048529,
        4.933715274829545,
        4.933734825455087,
        4.9337543760806275,
        4.9337734498616435,
        4.933793000487184,
        4.9338120742682,
        4.933831624893741,
        4.933850698674757,
        4.933870249300298,
        4.933889799925839,
        4.933908873706855,
        4.933928424332396,
        4.933947498113412,
        4.933967048738952,
        4.933986122519968,
        4.93400567314551,
        4.934025223771051,
        4.934044297552067,
        4.934063848177607,
        4.934082921958623,
        4.934102472584164,
        4.93412154636518,
        4.934141096990722,
        4.934160170771737,
        4.934179721397278,
        4.934198795178293,
        4.934218345803835,
        4.934237419584851,
        4.934642737431434,
        4.934662288056976,
        4.934681361837991,
        4.934700912463533,
        4.9347199862445486,
        4.934739536870089,
        4.934758610651105,
        4.93477768443212,
        4.934797235057662,
        4.934816308838678,
        4.9348358594642185,
        4.9348549332452345,
        4.934874483870775,
        4.934893557651791,
        4.934912631432807,
        4.934932182058348,
        4.934951255839364,
        4.93497032962038,
        4.9349898802459204,
        4.935008954026936,
        4.935028504652477,
        4.935047578433493,
        4.935066652214509,
        4.93508620284005,
        4.935105276621066,
        4.935124350402082,
        4.935143901027622,
        4.935162974808638,
        4.935182525434179,
        4.935201599215195,
        4.935220672996211,
        4.935240223621752,
        4.935259297402768,
        4.9352783711837835,
        4.935297921809324,
        4.93531699559034,
        4.935336069371356,
        4.935355619996897,
        4.935374693777913,
        4.935393767558928,
        4.935412841339944,
        4.935432391965485,
        4.9354514657465005,
        4.9354705395275165,
        4.935490090153058,
        4.935509163934073,
        4.935528237715089,
        4.93554778834063,
        4.935566862121646,
        4.935585935902662,
        4.935605009683678,
        4.935624560309218,
        4.935643634090234,
        4.93566270787125,
        4.935682258496791,
        4.935701332277807,
        4.935720406058823,
        4.935739479839838,
        4.93575903046538,
        4.935778104246395,
        4.935797178027411,
        4.9358162518084265,
        4.9358353255894425,
        4.935854876214983,
        4.935873949995999,
        4.935893023777015,
        4.93591209755803,
        4.935931648183572,
        4.935950721964587,
        4.935969795745603,
        4.935988869526619,
        4.936007943307635,
        4.936027493933175,
        4.936046567714191,
        4.936065641495207,
        4.936084715276222,
        4.936103789057238,
        4.936123339682779,
        4.936142413463795,
        4.936161487244811,
        4.936180561025827,
        4.936199634806842,
        4.936219185432384,
        4.9362382592133995,
        4.936257332994415,
        4.936276406775431,
        4.9362954805564465,
        4.9363145543374625,
        4.936334104963003,
        4.936353178744019,
        4.936372252525034,
        4.93639132630605,
        4.936410400087066,
        4.936429473868082,
        4.936448547649097,
        4.936467621430113,
        4.936487172055655,
        4.93650624583667,
        4.936525319617686,
        4.936544393398702,
        4.936563467179717,
        4.936582540960733,
        4.936601614741749,
        4.936620688522765,
        4.93663976230378,
        4.936659312929321,
        4.936678386710337,
        4.936697460491352,
        4.936716534272368,
        4.936735608053384,
        4.936754681834399,
        4.936773755615415,
        4.936792829396431,
        4.936811903177447,
        4.936830976958462,
        4.936850050739478,
        4.936869124520494,
        4.93688819830151,
        4.936907748927051,
        4.936926822708067,
        4.936945896489083,
        4.936964970270098,
        4.936984044051114,
        4.93700311783213,
        4.937022191613145,
        4.937041265394161,
        4.937060339175177,
        4.937079412956193,
        4.937098486737208,
        4.937117560518224,
        4.9371366342992395,
        4.9371557080802555,
        4.937174781861271,
        4.9371938556422865,
        4.9372129294233025,
        4.9372320032043175,
        4.9372510769853335,
        4.9372701507663495,
        4.937289224547365,
        4.9373082983283805,
        4.937327372109396,
        4.937346445890412,
        4.937365519671428,
        4.937384593452443,
        4.937403667233459,
        4.937422741014475,
        4.937441814795491,
        4.937460888576506,
        4.937479962357522,
        4.937498559294013,
        4.9375176330750286,
        4.937536706856044,
        4.93755578063706,
        4.9375748544180755,
        4.9375939281990915,
        4.9376130019801066,
        4.9376320757611225,
        4.9376511495421385,
        4.937670223323154,
        4.9376892971041695,
        4.937708370885185,
        4.937727444666201,
        4.937746041602692,
        4.937765115383708,
        4.937784189164723,
        4.937803262945739,
        4.937822336726755,
        4.93784141050777,
        4.937860484288786,
        4.937879558069802,
        4.937898631850818,
        4.937917228787308,
        4.937936302568323,
        4.937955376349339,
        4.937974450130355,
        4.937993523911371,
        4.938012597692386,
        4.938031671473402,
        4.938050745254418,
        4.938069342190908,
        4.938088415971924,
        4.938107489752939,
        4.938126563533955,
        4.938145637314971,
        4.938164711095986,
        4.938183308032476,
        4.938202381813492,
        4.938221455594508,
        4.938240529375524,
        4.938259603156539,
        4.938278676937555,
        4.938297273874046,
        4.9383163476550616,
        4.9383354214360775,
        4.938354495217093,
        4.9383735689981085,
        4.938392165934599,
        4.938411239715615,
        4.938430313496631,
        4.938449387277646,
        4.938467984214136,
        4.938487057995152,
        4.938506131776168,
        4.938525205557184,
        4.938544279338199,
        4.938562876274689,
        4.938581950055705,
        4.938601023836721,
        4.938620097617736,
        4.938638694554227,
        4.938657768335243,
        4.938676842116259,
        4.9386959158972745,
        4.938714512833765,
        4.93873358661478,
        4.938752660395796,
        4.938771257332286,
        4.938790331113302,
        4.938809404894318,
        4.938828478675333,
        4.9388470756118235,
        4.938866149392839,
        4.938885223173855,
        4.938903820110346,
        4.938922893891362,
        4.938941967672377,
        4.938961041453393,
        4.938979638389883,
        4.938998712170899,
        4.939017785951915,
        4.939036382888405,
        4.93905545666942,
        4.939074530450436,
        4.9390931273869265,
        4.9391122011679425,
        4.9391312749489575,
        4.939149871885448,
        4.939168945666464,
        4.93918801944748,
        4.93920661638397,
        4.939225690164986,
        4.939244763946001,
        4.939263360882491,
        4.939282434663507,
        4.939301031599998,
        4.939320105381014,
        4.93933917916203,
        4.93935777609852,
        4.939376849879535,
        4.939395923660551,
        4.939414520597041,
        4.939433594378057,
        4.9394521913145475,
        4.9394712650955634,
        4.9394903388765785,
        4.939508935813069,
        4.939528009594085,
        4.939546606530575,
        4.939565680311591,
        4.939584754092607,
        4.939603351029097,
        4.939622424810112,
        4.939641021746603,
        4.939660095527619,
        4.939678692464109,
        4.939697766245125,
        4.939716840026141,
        4.939735436962631,
        4.939754510743646,
        4.9397731076801366,
        4.9397921814611525,
        4.939810778397643,
        4.939829852178659,
        4.939848449115149,
        4.939867522896164,
        4.939886119832655,
        4.93990519361367,
        4.939924267394686,
        4.939942864331177,
        4.939961938112193,
        4.939980535048683,
        4.939999608829698,
        4.940018205766188,
        4.940037279547204,
        4.940055876483695,
        4.9400749502647106,
        4.940093547201201,
        4.940112620982217,
        4.940131217918707,
        4.940150291699722,
        4.9401688886362125,
        4.9401879624172285,
        4.940206559353719,
        4.940225156290209,
        4.940244230071225,
        4.940262827007715,
        4.940281900788731,
        4.940300497725222,
        4.940319571506237,
        4.940338168442727,
        4.940357242223743,
        4.940375839160233,
        4.940394912941249,
        4.9404135098777395,
        4.94043210681423,
        4.940451180595246,
        4.940469777531736,
        4.940488851312751,
        4.9405074482492415,
        4.940526522030257,
        4.940545118966748,
        4.940563715903238,
        4.940582789684254,
        4.940601386620744,
        4.94062046040176,
        4.940639057338251,
        4.940657654274741,
        4.940676728055756,
        4.940695324992246,
        4.940714398773262,
        4.9407329957097526,
        4.940751592646243,
        4.940770666427259,
        4.940789263363749,
        4.940807860300239,
        4.940826934081255,
        4.940845531017746,
        4.940864604798761,
        4.940883201735251,
        4.940901798671741,
        4.940920872452757,
        4.940939469389248,
        4.940958066325738,
        4.940977140106754,
        4.940995737043244,
        4.9410143339797346,
        4.9410334077607505,
        4.941052004697241,
        4.941070601633731,
        4.941089675414746,
        4.9411082723512365,
        4.941126869287728,
        4.941145943068743,
        4.941164540005233,
        4.941183136941723,
        4.941201733878214,
        4.94122080765923,
        4.94123940459572,
        4.94125800153221,
        4.941277075313226,
        4.9412956722497166,
        4.941314269186207,
        4.941332866122697,
        4.941351939903713,
        4.941370536840203,
        4.941389133776694,
        4.941408207557709,
        4.941426804494199,
        4.941445401430689,
        4.94146399836718,
        4.941483072148196,
        4.941501669084686,
        4.941520266021176,
        4.941538862957667,
        4.941557936738683,
        4.941576533675173,
        4.941595130611663,
        4.9416137275481535,
        4.941632324484644,
        4.94165139826566,
        4.94166999520215,
        4.94168859213864,
        4.941707189075131,
        4.941726262856146,
        4.941744859792636,
        4.941763456729126,
        4.941782053665617,
        4.941800650602107,
        4.941819724383123,
        4.941838321319613,
        4.941856918256104,
        4.941875515192594,
        4.941894112129084,
        4.941912709065575,
        4.9419317828465905,
        4.941950379783081,
        4.941968976719571,
        4.9419875736560614,
        4.942006170592552,
        4.942024767529042,
        4.942043841310058,
        4.942062438246548,
        4.942081035183039,
        4.942099632119529,
        4.942118229056019,
        4.94213682599251,
        4.942155422929,
        4.942174496710016,
        4.942193093646506,
        4.9422116905829965,
        4.942230287519487,
        4.942248884455977,
        4.942267481392467,
        4.942286078328958,
        4.942304675265448,
        4.942323272201938,
        4.942342345982953,
        4.942360942919444,
        4.942379539855934,
        4.942398136792424,
        4.942416733728915,
        4.942435330665405,
        4.942453927601896,
        4.9424725245383865,
        4.942491121474877,
        4.942509718411367,
        4.942528315347857,
        4.942546912284348,
        4.942565509220838,
        4.942584583001853,
        4.942603179938343,
        4.942621776874834,
        4.942640373811324,
        4.942658970747814,
        4.942677567684305,
        4.942696164620795,
        4.942714761557285,
        4.942733358493776,
        4.942751955430266,
        4.942770552366756,
        4.9427891493032465,
        4.942807746239737,
        4.942826343176227,
        4.942844940112718,
        4.942863537049209,
        4.942882133985699,
        4.942900730922189,
        4.94291932785868,
        4.94293792479517,
        4.943365177489921,
        4.943383774426412,
        4.943402371362902,
        4.943420968299392,
        4.943439565235883,
        4.943457685327848,
        4.9434762822643386,
        4.943494879200829,
        4.9459756628441855,
        4.9496447430448205,
        4.9496666778929885,
        4.949689089585682,
        4.94971102443385,
        4.949732959282018,
        4.949754894130186,
        4.949776828978354,
        4.949798763826522,
        4.949821175519216,
        4.949843110367384,
        4.949865045215552,
        4.94988698006372,
        4.949908914911888,
        4.949930849760056,
        4.949952784608224,
        4.949975196300918,
        4.949997131149086,
        4.950019065997254,
        4.950041000845422,
        4.95006293569359,
        4.950084870541758,
        4.950106805389926,
        4.950128740238094,
        4.950150675086262,
        4.95017260993443,
        4.950195021627124,
        4.950216956475292,
        4.95023889132346,
        4.950260826171628,
        4.950282761019796,
        4.950304695867964,
        4.950326630716133,
        4.950348565564301,
        4.950370500412469,
        4.950392435260637,
        4.950414370108805,
        4.950436304956973,
        4.950458239805141,
        4.950480174653309,
        4.950502586346003,
        4.950524521194171,
        4.950546456042339,
        4.950568390890507,
        4.950590325738675,
        4.950612260586843,
        4.950634195435011,
        4.950656130283179,
        4.950678065131347,
        4.950699999979515,
        4.950721934827683,
        4.9507438696758514,
        4.9507658045240195,
        4.9507877393721875,
        4.950809674220356,
        4.950831609068524,
        4.950853543916692,
        4.95087547876486,
        4.950897413613028,
        4.950919348461196,
        4.950941283309364,
        4.950963218157532,
        4.9509851530057,
        4.951007087853869,
        4.951029022702037,
        4.951050957550205,
        4.951072415553847,
        4.951094350402015,
        4.951116285250183,
        4.951138220098351,
        4.951160154946519,
        4.951182089794687,
        4.9512040246428555,
        4.9512259594910235,
        4.9512478943391915,
        4.95126982918736,
        4.951291764035528,
        4.951313698883696,
        4.951335633731864,
        4.951357568580032,
        4.951379026583675,
        4.951400961431843,
        4.951422896280011,
        4.951444831128179,
        4.951466765976347,
        4.951488700824515,
        4.951510635672683,
        4.951532570520851,
        4.951554505369019,
        4.951576440217187,
        4.95159789822083,
        4.951619833068999,
        4.951641767917167,
        4.951663702765335,
        4.951685637613503,
        4.951707572461671,
        4.951729507309839,
        4.951750965313481,
        4.951772900161649,
        4.951794835009817,
        4.951816769857985,
        4.951838704706153,
        4.951860639554321,
        4.951882097557965,
        4.951904032406133,
        4.951925967254301,
        4.951947902102469,
        4.951969836950637,
        4.951991771798805,
        4.952013229802447,
        4.952035164650615,
        4.952057099498783,
        4.952079034346951,
        4.952100969195119,
        4.952122427198763,
        4.952144362046931,
        4.952166296895099,
        4.952188231743267,
        4.952210166591435,
        4.952231624595077,
        4.952253559443245,
        4.952275494291413,
        4.952297429139581,
        4.952318887143225,
        4.952340821991393,
        4.952362756839561,
        4.952384691687729,
        4.952406149691371,
        4.952428084539539,
        4.952450019387707,
        4.952471954235875,
        4.952493412239518,
        4.952515347087686,
        4.953212493783811,
        4.953233951787453,
        4.953255886635621,
        4.953277821483789,
        4.953299279487432,
        4.9533212143356,
        4.953342672339243,
        4.953364607187411,
        4.953386542035579,
        4.9534080000392215,
        4.95342993488739,
        4.953451392891032,
        4.953473327739201,
        4.953494785742843,
        4.953516720591011,
        4.953538655439179,
        4.953560113442822,
        4.95358204829099,
        4.953603506294633,
        4.953625441142801,
        4.9536468991464435,
        4.9536688339946116,
        4.95369076884278,
        4.953712226846422,
        4.95373416169459,
        4.953755619698233,
        4.953777554546401,
        4.953799012550044,
        4.953820947398212,
        4.953842405401854,
        4.953864340250023,
        4.9538857982536655,
        4.9539077331018335,
        4.953929191105476,
        4.953951125953644,
        4.953972583957287,
        4.953994518805455,
        4.954015976809098,
        4.954037911657266,
        4.954059369660908,
        4.954081304509076,
        4.954102762512719,
        4.9541246973608875,
        4.95414615536453,
        4.954168090212698,
        4.95418954821634,
        4.954211483064508,
        4.954232941068152,
        4.95425487591632,
        4.954276333919962,
        4.955055497874454,
        4.955077432722622,
        4.955098890726265,
        4.955120348729907,
        4.955142283578076,
        4.9551637415817185,
        4.955185199585361,
        4.955206657589004,
        4.955228592437172,
        4.955250050440815,
        4.955271508444457,
        4.955293443292625,
        4.955314901296268,
        4.955336359299911,
        4.955358294148079,
        4.955379752151721,
        4.955401210155364,
        4.955422668159007,
        4.955444603007175,
        4.955466061010817,
        4.9554875190144605,
        4.955508977018103,
        4.955530911866271,
        4.955552369869913,
        4.955573827873557,
        4.955595285877199,
        4.955617220725367,
        4.955638678729009,
        4.955660136732653,
        4.955681594736295,
        4.955703529584463,
        4.9557249875881055,
        4.955746445591749,
        4.955767903595391,
        4.955789838443559,
        4.955811296447202,
        4.955832754450845,
        4.955854212454487,
        4.95587567045813,
        4.955897605306298,
        4.955919063309941,
        4.955940521313583,
        4.955961979317226,
        4.955983437320869,
        4.956005372169037,
        4.9560268301726795,
        4.956048288176322,
        4.956069746179965,
        4.956091204183608,
        4.95611266218725,
        4.956134597035418,
        4.956156055039061,
        4.956177513042704,
        4.956198971046346,
        4.956220429049989,
        4.956241887053632,
        4.956263345057274,
        4.956285279905442,
        4.9563067379090855,
        4.956328195912728,
        4.95634965391637,
        4.956371111920014,
        4.956392569923656,
        4.956414027927298,
        4.956435962775466,
        4.95645742077911,
        4.956478878782752,
        4.9565003367863945,
        4.956521794790038,
        4.95654325279368,
        4.9565647107973225,
        4.956586168800966,
        4.956607626804608,
        4.956629084808251,
        4.956651019656419,
        4.956672477660062,
        4.956693935663704,
        4.956715393667347,
        4.95673685167099,
        4.956758309674632,
        4.956779767678275,
        4.956801225681917,
        4.9568226836855604,
        4.956844141689203,
        4.956865599692845,
        4.9568870576964885,
        4.956908515700131,
        4.956929973703773,
        4.956951431707417,
        4.956972889711059,
        4.956994347714701,
        4.957015805718345,
        4.957037263721987,
        4.9570587217256294,
        4.957080179729273,
        4.957101637732915,
        4.9571230957365575,
        4.957144553740201,
        4.957166011743843,
        4.957187469747486,
        4.957208927751129,
        4.957230385754771,
        4.957251843758414,
        4.957273301762057,
        4.957294759765699,
        4.957316217769342,
        4.957337675772985,
        4.957359133776627,
        4.95738059178027,
        4.957402049783913,
        4.9574235077875555,
        4.957444965791198,
        4.95746642379484,
        4.9574878817984835,
        4.957509339802126,
        4.957530797805768,
        4.957552255809412,
        4.957573713813054,
        4.957595171816696,
        4.95761662982034,
        4.958149741999728,
        4.959154930259257,
        4.959175911418375,
        4.959197369422017,
        4.9592188274256594,
        4.959239808584777,
        4.9592612665884195,
        4.959282724592062,
        4.9593037057511795,
        4.959325163754822,
        4.959346621758465,
        4.959367602917582,
        4.959389060921225,
        4.959410518924868,
        4.959431500083985,
        4.959452958087628,
        4.959473939246744,
        4.959495397250388,
        4.95951685525403,
        4.959537836413148,
        4.95955929441679,
        4.9595807524204325,
        4.95960173357955,
        4.9596231915831925,
        4.95964417274231,
        4.959665630745953,
        4.959687088749596,
        4.959708069908713,
        4.959729527912355,
        4.959750509071473,
        4.959771967075115,
        4.959793425078758,
        4.959814406237875,
        4.959835864241518,
        4.959856845400635,
        4.959878303404278,
        4.959899284563395,
        4.959920742567038,
        4.959942200570681,
        4.9599631817297976,
        4.959984639733441,
        4.960005620892558,
        4.960027078896201,
        4.960048060055318,
        4.960069518058961,
        4.960090499218078,
        4.960111957221721,
        4.960132938380838,
        4.96015439638448,
        4.960175377543598,
        4.96019683554724,
        4.960217816706358,
        4.96023927471,
        4.960260732713643,
        4.96028171387276,
        4.9603031718764035,
        4.96032415303552,
        4.960345134194638,
        4.96036659219828,
        4.960387573357398,
        4.96040903136104,
        4.960430012520158,
        4.9604514705238,
        4.960472451682918,
        4.96049390968656,
        4.960514890845678,
        4.96053634884932,
        4.960557330008437,
        4.96057878801208,
        4.960599769171197,
        4.96062122717484,
        4.960642208333957,
        4.960663189493075,
        4.960684647496717,
        4.960705628655835,
        4.960727086659477,
        4.960748067818595,
        4.960769525822237,
        4.960790506981355,
        4.960811488140472,
        4.960832946144115,
        4.960853927303232,
        4.960875385306875,
        4.960896366465992,
        4.960917824469634,
        4.960938805628752,
        4.960959786787869,
        4.960981244791512,
        4.9610022259506295,
        4.961023207109746,
        4.9610446651133895,
        4.961065646272506,
        4.961087104276149,
        4.961108085435266,
        4.961129066594384,
        4.961150524598026,
        4.961171505757144,
        4.961192486916261,
        4.961213944919904,
        4.961234926079021,
        4.961255907238138,
        4.961277365241781,
        4.961298346400898,
        4.961319804404541,
        4.961340785563658,
        4.961361766722775,
        4.961382747881893,
        4.961404205885535,
        4.961425187044653,
        4.96144616820377,
        4.961467626207413,
        4.96148860736653,
        4.961509588525647,
        4.96153104652929,
        4.961552027688407,
        4.961573008847524,
        4.961594466851167,
        4.961615448010284,
        4.961636429169402,
        4.961657410328519,
        4.961678868332162,
        4.9616998494912785,
        4.961720830650396,
        4.9617422886540385,
        4.961763269813156,
        4.961784250972274,
        4.961805232131391,
        4.961826690135034,
        4.961847671294151,
        4.961868652453268,
        4.961889633612385,
        4.961911091616028,
        4.961932072775145,
        4.961953053934263,
        4.961974035093379,
        4.961995016252497,
        4.9620164742561395,
        4.962037455415257,
        4.962058436574375,
        4.9620794177334915,
        4.962100875737135,
        4.9621218568962515,
        4.962142838055369,
        4.962163819214486,
        4.9621848003736035,
        4.962206258377246,
        4.962227239536364,
        4.962248220695481,
        4.962269201854598,
        4.962290183013716,
        4.962311164172832,
        4.962332622176476,
        4.962353603335592,
        4.96237458449471,
        4.962395565653827,
        4.962416546812944,
        4.962437527972062,
        4.9624589859757045,
        4.962479967134822,
        4.962500948293939,
        4.9625219294530565,
        4.962542910612173,
        4.962563891771291,
        4.9625848729304085,
        4.962606330934051,
        4.9626273120931685,
        4.962648293252285,
        4.962669274411403,
        4.96269025557052,
        4.962711236729637,
        4.962732217888755,
        4.962753199047872,
        4.962774180206989,
        4.962795638210632,
        4.962816619369749,
        4.962837600528866,
        4.962858581687984,
        4.962879562847101,
        4.962900544006218,
        4.962921525165336,
        4.9629425063244526,
        4.96296348748357,
        4.962984468642688,
        4.963005449801805,
        4.963026430960922,
        4.963047412120039,
        4.963068870123682,
        4.963089851282799,
        4.963110832441917,
        4.963131813601034,
        4.963152794760151,
        4.963173775919269,
        4.963194757078385,
        4.963215738237503,
        4.963236719396621,
        4.9632577005557375,
        4.963278681714855,
        4.963299662873972,
        4.9633206440330895,
        4.963341625192207,
        4.963362606351324,
        4.9633835875104415,
        4.963404568669558,
        4.963425549828676,
        4.9634465309877935,
        4.96346751214691,
        4.963488493306028,
        4.963509474465145,
        4.963530455624262,
        4.96355143678338,
        4.963572417942497,
        4.963593399101614,
        4.963614380260731,
        4.963635361419849,
        4.963656342578966,
        4.963677323738083,
        4.963698304897201,
        4.9637192860563175,
        4.9637397903709095,
        4.963760771530027,
        4.963781752689145,
        4.9638027338482615,
        4.963823715007379,
        4.963844696166496,
        4.963865677325614,
        4.963886658484731,
        4.963907639643848,
        4.963928620802966,
        4.963949601962082,
        4.9639705831212,
        4.963991564280318,
        4.964012068594909,
        4.964033049754026,
        4.964054030913144,
        4.964075012072261,
        4.964095993231378,
        4.964116974390496,
        4.964137955549613,
        4.96415893670873,
        4.964179441023322,
        4.964200422182439,
        4.964221403341557,
        4.964242384500674,
        4.964263365659791,
        4.964284346818909,
        4.964305327978026,
        4.964325832292618,
        4.964346813451735,
        4.964367794610852,
        4.96438877576997,
        4.964409756929087,
        4.964430738088204,
        4.964451719247322,
        4.964472223561914,
        4.96449320472103,
        4.964514185880148,
        4.964535167039265,
        4.964556148198382,
        4.964576652512974,
        4.964597633672092,
        4.964618614831209,
        4.9646395959903264,
        4.964660577149443,
        4.964681081464035,
        4.964702062623153,
        4.96472304378227,
        4.964744024941387,
        4.964765006100505,
        4.964785510415097,
        4.964806491574214,
        4.964827472733331,
        4.964848453892448,
        4.96486895820704,
        4.964889939366158,
        4.964910920525274,
        4.964931901684392,
        4.964952405998984,
        4.964973387158102,
        4.964994368317218,
        4.965015349476336,
        4.965035853790928,
        4.965056834950045,
        4.965077816109162,
        4.965098797268279,
        4.965119301582871,
        4.965140282741989,
        4.9651612639011065,
        4.965181768215698,
        4.965202749374815,
        4.965223730533933,
        4.965244234848525,
        4.965265216007642,
        4.965286197166759,
        4.965307178325876,
        4.965327682640468,
        4.965348663799586,
        4.965369644958702,
        4.965390149273294,
        4.965411130432412,
        4.96543211159153,
        4.965452615906121,
        4.965473597065238,
        4.965494578224356,
        4.965515082538948,
        4.965536063698065,
        4.965557044857182,
        4.965577549171774,
        4.965598530330891,
        4.965619034645483,
        4.965640015804601,
        4.9656609969637175,
        4.9656815012783095,
        4.965702482437427,
        4.965723463596544,
        4.965743967911136,
        4.965764949070254,
        4.965785453384846,
        4.965806434543962,
        4.96582741570308,
        4.965847920017672,
        4.96586890117679,
        4.965889405491381,
        4.965910386650498,
        4.965931367809616,
        4.965951872124207,
        4.965972853283325,
        4.965993357597917,
        4.966014338757034,
        4.9660348430716255,
        4.966055824230743,
        4.966076805389861,
        4.966097309704453,
        4.9661182908635695,
        4.9661387951781615,
        4.966159776337279,
        4.966180280651871,
        4.966201261810988,
        4.96622176612558,
        4.9662427472846975,
        4.966263728443814,
        4.966284232758406,
        4.966305213917524,
        4.966325718232116,
        4.966346699391233,
        4.966367203705825,
        4.966388184864942,
        4.966408689179534,
        4.966429670338651,
        4.966450174653243,
        4.966471155812361,
        4.966491660126953,
        4.966512641286069,
        4.966533145600661,
        4.966554126759779,
        4.966574631074371,
        4.966595612233488,
        4.96661611654808,
        4.966636620862672,
        4.966657602021789,
        4.9666781063363805,
        4.966699087495498,
        4.96671959181009,
        4.966740572969208,
        4.966761077283799,
        4.9667820584429165,
        4.9668025627575085,
        4.966823543916626,
        4.966844048231217,
        4.966864552545809,
        4.966885533704927,
        4.966906038019519,
        4.966927019178636,
        4.966947523493228,
        4.966968504652345,
        4.966989008966937,
        4.967009513281529,
        4.967030494440646,
        4.967050998755238,
        4.967071979914356,
        4.967092484228948,
        4.96711298854354,
        4.967133969702656,
        4.967154474017248,
        4.96717497833184,
        4.967195959490958,
        4.967216463805549,
        4.967237444964667,
        4.967257949279259,
        4.967278453593851,
        4.9672994347529675,
        4.9673199390675595,
        4.9673404433821515,
        4.967361424541269,
        4.967381928855861,
        4.967402433170453,
        4.96742341432957,
        4.967443918644162,
        4.967464422958754,
        4.9674854041178715,
        4.967505908432463,
        4.967526412747055,
        4.967547393906172,
        4.967567898220764,
        4.967588402535356,
        4.967609383694473,
        4.967629888009065,
        4.967650392323657,
        4.967671373482775,
        4.967691877797367,
        4.967712382111958,
        4.96773288642655,
        4.967753867585667,
        4.967774371900259,
        4.967794876214851,
        4.967815857373968,
        4.96783636168856,
        4.967856866003152,
        4.967877370317744,
        4.967898351476862,
        4.967918855791453,
        4.967939360106045,
        4.967959864420637,
        4.9679808455797545,
        4.9680013498943465,
        4.9680218542089385,
        4.96804235852353,
        4.968063339682647,
        4.968083843997239,
        4.968104348311831,
        4.968124852626423,
        4.96814583378554,
        4.968166338100132,
        4.968186842414724,
        4.968207346729316,
        4.968227851043908,
        4.968248832203025,
        4.968269336517617,
        4.968289840832209,
        4.968310345146801,
        4.968330849461393,
        4.96835183062051,
        4.968372334935102,
        4.968392839249693,
        4.968413343564285,
        4.968433847878877,
        4.968454352193469,
        4.968475333352587,
        4.968495837667179,
        4.96851634198177,
        4.968536846296362,
        4.968557350610954,
        4.968577854925546,
        4.968598836084664,
        4.968619340399256,
        4.968639844713847,
        4.968660349028439,
        4.968680853343031,
        4.968701357657623,
        4.968721861972215,
        4.968742366286807,
        4.9687633474459245,
        4.968783851760516,
        4.968804356075108,
        4.9688248603897,
        4.968845364704292,
        4.968865869018884,
        4.968886373333476,
        4.968906877648068,
        4.96892738196266,
        4.968947886277252,
        4.968968867436368,
        4.96898937175096,
        4.969009876065552,
        4.969030380380144,
        4.969050884694736,
        4.969071389009328,
        4.969091893323919,
        4.969112397638511,
        4.969132901953103,
        4.969153406267695,
        4.969173910582287,
        4.969194414896879,
        4.969214919211471,
        4.969235423526063,
        4.969255927840655,
        4.9692764321552465,
        4.9692969364698385,
        4.9693174407844305,
        4.9693379450990225,
        4.9693584494136145,
        4.969379430572732,
        4.969399934887323,
        4.969420439201915,
        4.969440943516507,
        4.969461447831099,
        4.969481952145691,
        4.969502456460283,
        4.969522960774875,
        4.969543465089467,
        4.969563492559534,
        4.9695839968741256,
        4.9696045011887175,
        4.969625005503309,
        4.969645509817901,
        4.969666014132493,
        4.969686518447085,
        4.969707022761677,
        4.969727527076269,
        4.969748031390861,
        4.969768535705453,
        4.969789040020045,
        4.969809544334636,
        4.969830048649228,
        4.96985055296382,
        4.969871057278412,
        4.969891561593004,
        4.969912065907596,
        4.969932570222188,
        4.96995307453678,
        4.969973102006846,
        4.969993606321438,
        4.97001411063603,
        4.970034614950622,
        4.970055119265213,
        4.970075623579805,
        4.970096127894397,
        4.970116632208989,
        4.970137136523581,
        4.970157640838173,
        4.9701776683082395,
        4.9701981726228315,
        4.9702186769374235,
        4.9702391812520155,
        4.9702596855666075,
        4.970280189881199,
        4.970300694195791,
        4.970321198510383,
        4.970341225980449,
        4.970361730295041,
        4.970382234609633,
        4.970402738924225,
        4.970423243238817,
        4.970443747553409,
        4.970463775023475,
        4.970484279338067,
        4.970504783652659,
        4.970525287967251,
        4.970545792281843,
        4.970566296596434,
        4.970586324066502,
        4.970606828381093,
        4.970627332695685,
        4.970647837010277,
        4.970668341324869,
        4.970688368794935,
        4.970708873109527,
        4.970729377424119,
        4.970749881738711,
        4.970770386053303,
        4.970790413523369,
        4.970810917837961,
        4.970831422152553,
        4.970851926467145,
        4.970871953937212,
        4.970892458251804,
        4.970912962566396,
        4.970933466880987,
        4.970953494351054,
        4.970973998665646,
        4.970994502980237,
        4.971015007294829,
        4.9710350347648955,
        4.9710555390794875,
        4.9710760433940795,
        4.9710965477086715,
        4.971116575178738,
        4.97113707949333,
        4.971157583807922,
        4.971177611277988,
        4.97119811559258,
        4.971218619907172,
        4.971239124221764,
        4.9712591516918305,
        4.9712796560064225,
        4.9713001603210145,
        4.971320187791081,
        4.971340692105673,
        4.971361196420265,
        4.971381223890331,
        4.971401728204923,
        4.971422232519515,
        4.971442259989582,
        4.9714627643041736,
        4.9714832686187655,
        4.971503296088832,
        4.971523800403424,
        4.971544304718016,
        4.971564332188082,
        4.971584836502674,
        4.971605340817266,
        4.971625368287333,
        4.971645872601925,
        4.971666376916516,
        4.971686404386583,
        4.971706908701175,
        4.971726936171241,
        4.971747440485833,
        4.971767944800424,
        4.971787972270492,
        4.971808476585084,
        4.971828980899675,
        4.971849008369742,
        4.971869512684333,
        4.9718895401544,
        4.971910044468992,
        4.971930071939059,
        4.971950576253651,
        4.971971080568242,
        4.971991108038309,
        4.972011612352901,
        4.972031639822967,
        4.972052144137559,
        4.9720726484521505,
        4.972092675922218,
        4.97211318023681,
        4.972133207706876,
        4.972153712021468,
        4.972173739491534,
        4.972194243806126,
        4.972214271276193,
        4.972234775590785,
        4.972254803060851,
        4.972275307375443,
        4.9722953348455095,
        4.9723158391601014,
        4.972336343474693,
        4.97235637094476,
        4.972376875259352,
        4.972396902729418,
        4.97241740704401,
        4.9724374345140765,
        4.9724579388286685,
        4.972477966298735,
        4.972498470613327,
        4.972518498083393,
        4.972539002397985,
        4.9725590298680515,
        4.972579057338118,
        4.97259956165271,
        4.972619589122776,
        4.972640093437368,
        4.972660120907435,
        4.972680625222027,
        4.972700652692093,
        4.972721157006685,
        4.972741184476752,
        4.972761688791343,
        4.9727817162614105,
        4.972802220576002,
        4.972822248046069,
        4.972842275516135,
        4.972862779830727,
        4.972882807300794,
        4.972903311615386,
        4.972923339085452,
        4.972943843400044,
        4.97296387087011,
        4.972983898340177,
        4.973004402654769,
        4.973024430124835,
        4.973044934439427,
        4.973064961909493,
        4.97308498937956,
        4.973105493694152,
        4.973125521164218,
        4.973145548634285,
        4.973166052948877,
        4.973186080418944,
        4.973206584733536,
        4.973226612203602,
        4.973246639673668,
        4.97326714398826,
        4.973287171458327,
        4.973307198928393,
        4.973327703242985,
        4.973347730713051,
        4.973367758183118,
        4.97338826249771,
        4.973408289967776,
        4.973428317437843,
        4.973448821752434,
        4.973468849222502,
        4.973488876692568,
        4.97350938100716,
        4.973529408477226,
        4.973549435947293,
        4.973569940261885,
        4.973589967731951,
        4.973609995202017,
        4.973630499516609,
        4.973650526986676,
        4.973670554456742,
        4.973691058771334,
        4.973711086241401,
        4.973731113711468,
        4.973751141181534,
        4.973771645496126,
        4.973791672966192,
        4.973811700436259,
        4.973831727906325,
        4.973852232220917,
        4.9738722596909835,
        4.97389228716105,
        4.973912314631117,
        4.973932818945709,
        4.973952846415775,
        4.973972873885842,
        4.973992901355908,
        4.9740134056705,
        4.9740334331405665,
        4.974053460610633,
        4.974073488080699,
        4.974093992395291,
        4.9741140198653575,
        4.974134047335425,
        4.974154074805491,
        4.9741741022755575,
        4.9741946065901494,
        4.974214634060216,
        4.974234661530282,
        4.9742546890003485,
        4.974274716470416,
        4.974295220785007,
        4.974315248255074,
        4.9743352757251404,
        4.974355303195207,
        4.974375330665273,
        4.974395834979865,
        4.9744158624499315,
        4.974435889919998,
        4.974455917390065,
        4.9744759448601314,
        4.974495972330198,
        4.974515999800264,
        4.974536504114856,
        4.9745565315849225,
        4.974576559054989,
        4.974596586525055,
        4.9746166139951224,
        4.974636641465189,
        4.974656668935255,
        4.974677173249847,
        4.9746972007199135,
        4.97471722818998,
        4.974737255660046,
        4.974757283130113,
        4.97477731060018,
        4.974797338070246,
        4.9748173655403125,
        4.974837393010379,
        4.974857420480445,
        4.974877924795037,
        4.974897952265104,
        4.974917979735171,
        4.974938007205237,
        4.9749580346753035,
        4.97497806214537,
        4.974998089615436,
        4.975018117085503,
        4.97503814455557,
        4.975058172025636,
        4.9750781994957025,
        4.975098226965769,
        4.975118254435835,
        4.975138281905902,
        4.975158309375969,
        4.975178336846035,
        4.9751983643161015,
        4.9752188686306935,
        4.97523889610076,
        4.975258923570826,
        4.975278951040893,
        4.975298978510959,
        4.975319005981026,
        4.9753390334510925,
        4.975359060921159,
        4.975379088391225,
        4.975399115861292,
        4.975419143331358,
        4.975439170801425,
        4.9754591982714915,
        4.975479225741558,
        4.975499253211624,
        4.975519280681691,
        4.975539308151757,
        4.975559335621824,
        4.975578886247365,
        4.975598913717431,
        4.975618941187498,
        4.975638968657565,
        4.975658996127631,
        4.9756790235976975,
        4.975699051067764,
        4.97571907853783,
        4.975739106007897,
        4.975759133477964,
        4.97577916094803,
        4.9757991884180965,
        4.975819215888163,
        4.975839243358229,
        4.975859270828296,
        4.975879298298363,
        4.9758988489239036,
        4.97591887639397,
        4.975938903864036,
        4.9759589313341035,
        4.97597895880417,
        4.975998986274236,
        4.9760190137443026,
        4.976039041214369,
        4.976059068684435,
        4.9760790961545025,
        4.976098646780043,
        4.97611867425011,
        4.976138701720176,
        4.976158729190243,
        4.9761787566603095,
        4.976198784130376,
        4.976218811600442,
        4.976238362225983,
        4.97625838969605,
        4.9762784171661165,
        4.976298444636183,
        4.976318472106249,
        4.976338499576316,
        4.976358527046382,
        4.9763780776719235,
        4.97639810514199,
        4.976418132612056,
        4.976438160082123,
        4.97645818755219,
        4.9764777381777305,
        4.976497765647797,
        4.976517793117863,
        4.9765378205879305,
        4.976557848057997,
        4.9765773986835375,
        4.976597426153604,
        4.976617453623671,
        4.9766374810937375,
        4.976657508563804,
        4.97703564627244,
        4.977055673742507,
        4.977075224368048,
        4.977095251838114,
        4.9771152793081805,
        4.977134829933722,
        4.9771548574037885,
        4.977174884873855,
        4.977194435499396,
        4.977214462969463,
        4.977234490439529,
        4.9772545179095955,
        4.977274068535137,
        4.9772940960052034,
        4.97731412347527,
        4.9773336741008105,
        4.977353701570878,
        4.977373729040944,
        4.977393279666485,
        4.977413307136551,
        4.977432857762093,
        4.977452885232159,
        4.9774729127022255,
        4.977492463327767,
        4.977512490797833,
        4.9775325182679,
        4.9775520688934405,
        4.977572096363508,
        4.977592123833574,
        4.977611674459115,
        4.977631701929181,
        4.977651252554723,
        4.977671280024789,
        4.977691307494855,
        4.977710858120397,
        4.977730885590463,
        4.977750436216004,
        4.9777704636860705,
        4.977790491156138,
        4.977810041781678,
        4.977830069251745,
        4.977849619877286,
        4.977869647347353,
        4.977889197972893,
        4.97790922544296,
        4.977929252913027,
        4.977948803538568,
        4.977968831008634,
        4.977988381634176,
        4.978008409104242,
        4.978027959729783,
        4.978047987199849,
        4.978067537825391,
        4.978087565295457,
        4.978107592765523,
        4.978127143391065,
        4.978147170861131,
        4.978166721486672,
        4.978186748956738,
        4.97820629958228,
        4.978226327052346,
        4.978245877677887,
        4.978265905147954,
        4.978285455773495,
        4.978305483243561,
        4.978325033869103,
        4.978345061339169,
        4.97836461196471,
        4.978384639434777,
        4.978404190060318,
        4.978424217530384,
        4.978443768155926,
        4.978463795625992,
        4.978483346251533,
        4.978502896877075,
        4.978522924347141,
        4.978542474972682,
        4.978562502442748,
        4.97858205306829,
        4.978602080538356,
        4.978621631163897,
        4.978641658633964,
        4.978661209259505,
        4.978680759885046,
        4.978700787355113,
        4.978720337980653,
        4.97874036545072,
        4.978759916076261,
        4.978779943546328,
        4.978799494171868,
        4.97881904479741,
        4.978839072267476,
        4.978858622893017,
        4.978878650363084,
        4.978898200988625,
        4.9789177516141665,
        4.978937779084233,
        4.978957329709774,
        4.97897735717984,
        4.9789969078053815,
        4.979016458430922,
        4.979036485900989,
        4.97905603652653,
        4.979075587152071,
        4.979095614622137,
        4.979115165247679,
        4.9791347158732195,
        4.979154743343287,
        4.9791742939688275,
        4.979194321438894,
        4.979213872064435,
        4.979233422689976,
        4.9792534501600425,
        4.979273000785584,
        4.979292551411125,
        4.979312578881191,
        4.979332129506733,
        4.9793516801322735,
        4.979371230757815,
        4.979391258227881,
        4.979410808853422,
        4.979430359478964,
        4.97945038694903,
        4.979469937574571,
        4.979489488200112,
        4.979509515670179,
        4.9795290662957195,
        4.979548616921261,
        4.979568167546802,
        4.979588195016868,
        4.97960774564241,
        4.97962729626795,
        4.979646846893492,
        4.979666874363558,
        4.979686424989099,
        4.979705975614641,
        4.979726003084707,
        4.979745553710249,
        4.979765104335789,
        4.97978465496133,
        4.979804205586872,
        4.979824233056938,
        4.979843783682479,
        4.97986333430802,
        4.979882884933561,
        4.979902912403628,
        4.979922463029169,
        4.97994201365471,
        4.979961564280251,
        4.979981114905792,
        4.980001142375859,
        4.9800206930014,
        4.980040243626941,
        4.980059794252482,
        4.980079344878023,
        4.980099372348089,
        4.980118922973631,
        4.980138473599172,
        4.980158024224713,
        4.980177574850254,
        4.98019760232032,
        4.980217152945862,
        4.980236703571403,
        4.980256254196944,
        4.980275804822485,
        4.9802953554480265,
        4.980314906073567,
        4.9803349335436335,
        4.980354484169175,
        4.980374034794716,
        4.9803935854202575,
        4.980413136045798,
        4.98043268667134,
        4.9804522372968805,
        4.980472264766947,
        4.980491815392488,
        4.980511366018029,
        4.980530916643571,
        4.980550467269111,
        4.980570017894652,
        4.980589568520194,
        4.9806091191457345,
        4.980628669771276,
        4.980648220396817,
        4.981157490349936,
        4.981177040975478,
        4.981196591601019,
        4.98121614222656,
        4.981235692852101,
        4.9812552434776425,
        4.9812743172586575,
        4.981293867884199,
        4.98131341850974,
        4.9813329691352815,
        4.981352519760822,
        4.981372070386364,
        4.9813916210119045,
        4.981411171637446,
        4.981430722262987,
        4.9814502728885275,
        4.981469823514069,
        4.98148937413961,
        4.981508924765151,
        4.981528475390692,
        4.981548026016234,
        4.981567576641774,
        4.981587127267316,
        4.981606677892857,
        4.981626228518397,
        4.981645302299413,
        4.981664852924955,
        4.981684403550496,
        4.981703954176037,
        4.981723504801578,
        4.981743055427119,
        4.98176260605266,
        4.981782156678201,
        4.981801707303743,
        4.981821257929283,
        4.981840331710299,
        4.98185988233584,
        4.981879432961382,
        4.981898983586922,
        4.981918534212464,
        4.981938084838005,
        4.981957635463546,
        4.981976709244561,
        4.981996259870103,
        4.982015810495644,
        4.982035361121185,
        4.982054911746726,
        4.9820744623722675,
        4.982094012997808,
        4.982113086778824,
        4.982132637404365,
        4.9821521880299064,
        4.982171738655447,
        4.982191289280989,
        4.982210363062004,
        4.982229913687545,
        4.982249464313086,
        4.982269014938628,
        4.982288565564168,
        4.98230811618971,
        4.982327189970725,
        4.982346740596267,
        4.982366291221807,
        4.982385841847349,
        4.982404915628364,
        4.982424466253906,
        4.982444016879446,
        4.982463567504988,
        4.982483118130529,
        4.982502191911545,
        4.982521742537085,
        4.982541293162627,
        4.982560843788168,
        4.982579917569184,
        4.982599468194724,
        4.982619018820266,
        4.982638569445807,
        4.982657643226823,
        4.982677193852364,
        4.982696744477905,
        4.982715818258921,
        4.982735368884462,
        4.982754919510003,
        4.982774470135544,
        4.98279354391656,
        4.9828130945421005,
        4.982832645167642,
        4.982851718948657,
        4.982871269574199,
        4.9828908201997395,
        4.982910370825281,
        4.982929444606297,
        4.982948995231838,
        4.9829685458573785,
        4.982987619638394,
        4.983007170263936,
        4.983026720889477,
        4.983045794670493,
        4.983065345296033,
        4.983084895921575,
        4.98310396970259,
        4.983123520328132,
        4.983143070953672,
        4.983162144734688,
        4.98318169536023,
        4.983201245985771,
        4.983220319766787,
        4.983239870392327,
        4.983258944173343,
        4.983278494798884,
        4.983298045424426,
        4.9833171192054415,
        4.983336669830982,
        4.983355743611998,
        4.983375294237539,
        4.9833948448630805,
        4.9834139186440956,
        4.983433469269637,
        4.983453019895178,
        4.983472093676194,
        4.9834916443017345,
        4.9835107180827505,
        4.983530268708292,
        4.983549342489307,
        4.983568893114849,
        4.9835884437403895,
        4.983607517521405,
        4.983627068146946,
        4.983646141927962,
        4.983665692553504,
        4.983684766334519,
        4.98370431696006,
        4.983723390741075,
        4.983742941366617,
        4.983762491992158,
        4.983781565773174,
        4.983801116398715,
        4.98382019017973,
        4.983839740805272,
        4.983858814586287,
        4.983878365211829,
        4.9838974389928445,
        4.983916989618385,
        4.983936063399401,
        4.983955614024942,
        4.983974687805958,
        4.983994238431499,
        4.9840133122125145,
        4.984032862838056,
        4.984051936619071,
        4.984071487244613,
        4.984090561025629,
        4.9841101116511695,
        4.984129185432185,
        4.984148736057726,
        4.984167809838742,
        4.984187360464283,
        4.984206434245299,
        4.984225508026315,
        4.984245058651855,
        4.984264132432871,
        4.984283683058412,
        4.984302756839428,
        4.98432230746497,
        4.984341381245985,
        4.984360931871526,
        4.984380005652542,
        4.984399079433557,
        4.984418630059099,
        4.984437703840115,
        4.984457254465656,
        4.9844763282466715,
        4.984495878872212,
        4.984514952653228,
        4.984534026434244,
        4.984553577059785,
        4.984572650840801,
        4.9845922014663415,
        4.9846112752473575,
        4.984630349028373,
        4.984649899653914,
        4.98466897343493,
        4.984688047215946,
        4.984707597841487,
        4.984726671622503,
        4.984746222248043,
        4.984765296029059,
        4.984784369810075,
        4.984803920435616,
        4.984822994216632,
        4.984842067997648,
        4.984861618623189,
        4.984880692404205,
        4.984899766185221,
        4.984919316810761,
        4.984938390591777,
        4.984957464372792,
        4.984977014998334,
        4.98499608877935,
        4.985015162560365,
        4.9850347131859065,
        4.9850537869669225,
        4.9850728607479375,
        4.985092411373479,
        4.985111485154494,
        4.98513055893551,
        4.985149632716526,
        4.985169183342067,
        4.985188257123083,
        4.985207330904099,
        4.985226881529639,
        4.985245955310655,
        4.985265029091671,
        4.985284102872686,
        4.985303653498228,
        4.985322727279244,
        4.985341801060259,
        4.985360874841275,
        4.985380425466817,
        4.985399499247832,
        4.985418573028848,
        4.985437646809864,
        4.985457197435404,
        4.98547627121642,
        4.985495344997436,
        4.985514418778451,
        4.985533969403993,
        4.985553043185009,
        4.985572116966024,
        4.98559119074704,
        4.985610264528056,
        4.9856298151535965,
        4.985648888934612,
        4.985667962715628,
        4.9856870364966435,
        4.985706110277659,
        4.985725660903201,
        4.985744734684216,
        4.985763808465232,
        4.985782882246248,
        4.985801956027264,
        4.985821029808279,
        4.985840580433821,
        4.985859654214836,
        4.985878727995852,
        4.985897801776868,
        4.9859168755578835,
        4.985935949338899,
        4.98595549996444,
        4.985974573745456,
        4.985993647526471,
        4.986012721307487,
        4.986031795088503,
        4.986050868869518,
        4.986069942650534,
        4.986089493276076,
        4.986108567057091,
        4.986127640838107,
        4.986146714619123,
        4.986165788400139,
        4.986184862181154,
        4.98620393596217,
        4.986223009743186,
        4.986242083524202,
        4.986261157305217,
        4.986280707930758,
        4.986299781711773,
        4.986318855492789,
        4.986337929273805,
        4.986357003054821,
        4.986376076835836,
        4.986395150616852,
        4.986414224397868,
        4.986433298178884,
        4.986452371959899,
        4.986471445740915,
        4.986490519521931,
        4.986509593302946,
        4.986528667083962,
        4.986547740864978,
        4.986567291490519,
        4.986586365271535,
        4.986605439052551,
        4.986624512833567,
        4.986643586614582,
        4.986662660395598,
        4.986681734176614,
        4.98670080795763,
        4.986719881738645,
        4.986738955519661,
        4.986758029300677,
        4.986777103081692,
        4.986796176862708,
        4.9868152506437236,
        4.9868343244247395,
        4.986853398205755,
        4.9868724719867705,
        4.9868915457677865,
        4.986910619548802,
        4.9869296933298175,
        4.9869487671108335,
        4.986967840891849,
        4.98698643782834,
        4.987005511609356,
        4.987024585390371,
        4.987043659171387,
        4.987062732952403,
        4.987081806733418,
        4.987100880514434,
        4.98711995429545,
        4.987139028076466,
        4.987158101857481,
        4.987177175638497,
        4.987196249419513,
        4.9872153232005285,
        4.987234396981544,
        4.9872534707625595,
        4.98727206769905,
        4.987291141480066,
        4.987310215261081,
        4.987329289042097,
        4.987348362823113,
        4.987367436604129,
        4.987386510385144,
        4.98740558416616,
        4.987424657947176,
        4.987443731728192,
        4.987462328664682,
        4.987481402445697,
        4.987500476226713,
        4.987519550007729,
        4.987538623788745,
        4.98755769756976,
        4.987576771350776,
        4.987595368287266,
        4.987614442068282,
        4.987633515849297,
        4.987652589630313,
        4.987671663411329,
        4.987690737192345,
        4.987709334128835,
        4.9877284079098505,
        4.9877474816908665,
        4.987766555471882,
        4.987785629252898,
        4.987804703033913,
        4.987823299970404,
        4.98784237375142,
        4.987861447532436,
        4.987880521313452,
        4.987899595094467,
        4.987918192030957,
        4.987937265811973,
        4.987956339592989,
        4.987975413374005,
        4.98799448715502,
        4.98801308409151,
        4.988032157872526,
        4.988051231653542,
        4.988070305434557,
        4.9880889023710475,
        4.9881079761520635,
        4.988127049933079,
        4.988146123714095,
        4.988164720650586,
        4.988183794431601,
        4.988202868212617,
        4.988221941993633,
        4.988240538930123,
        4.988259612711139,
        4.988278686492154,
        4.98829776027317,
        4.98831635720966,
        4.988335430990676,
        4.988354504771692,
        4.9883731017081825,
        4.9883921754891976,
        4.9884112492702135,
        4.9884303230512295,
        4.98844891998772,
        4.988467993768736,
        4.988487067549751,
        4.988505664486241,
        4.988524738267257,
        4.988543812048273,
        4.988562408984763,
        4.988581482765778,
        4.988600556546794,
        4.988619153483285,
        4.988638227264301,
        4.988657301045317,
        4.988675897981807,
        4.988694971762822,
        4.988714045543838,
        4.988732642480328,
        4.988751716261344,
        4.98877079004236,
        4.98878938697885,
        4.9888084607598655,
        4.988827057696356,
        4.988846131477372,
        4.988865205258388,
        4.988883802194878,
        4.988902875975894,
        4.988921949756909,
        4.988940546693399,
        4.988959620474415,
        4.988978217410906,
        4.988997291191922,
        4.9890163649729375,
        4.989034961909428,
        4.989054035690443,
        4.989072632626933,
        4.989091706407949,
        4.9891103033444395,
        4.9891293771254555,
        4.989148450906471,
        4.989167047842962,
        4.989186121623977,
        4.989204718560467,
        4.989223792341483,
        4.989242389277973,
        4.989261463058989,
        4.98928005999548,
        4.989299133776495,
        4.989318207557511,
        4.989336804494001,
        4.989355878275017,
        4.989374475211507,
        4.989393548992523,
        4.9894121459290135,
        4.989431219710029,
        4.989449816646519,
        4.989468890427535,
        4.989487487364025,
        4.989506561145041,
        4.989525158081531,
        4.989544231862547,
        4.989562828799038,
        4.989581902580053,
        4.989600499516543,
        4.989619573297559,
        4.989638170234049,
        4.989657244015065,
        4.989675840951556,
        4.9896949147325715,
        4.989713511669062,
        4.989732585450077,
        4.989751182386567,
        4.9897697793230575,
        4.9897888531040735,
        4.989807450040564,
        4.98982652382158,
        4.98984512075807,
        4.989864194539086,
        4.989882791475576,
        4.989901865256591,
        4.989920462193082,
        4.989939059129572,
        4.989958132910588,
        4.989976729847078,
        4.989995803628094,
        4.990014400564585,
        4.990032997501075,
        4.990052071282091,
        4.990070668218581,
        4.990089741999596,
        4.9901083389360865,
        4.990126935872577,
        4.990146009653593,
        4.990164606590083,
        4.990183680371099,
        4.990202277307589,
        4.99022087424408,
        4.990239948025096,
        4.990258544961586,
        4.990277141898076,
        4.990296215679091,
        4.990314812615582,
        4.990333886396598,
        4.990352483333088,
        4.990371080269578,
        4.990390154050594,
        4.9904087509870845,
        4.990427347923575,
        4.990446421704591,
        4.990465018641081,
        4.990483615577571,
        4.990502689358586,
        4.990521286295077,
        4.990539883231567,
        4.990558480168057,
        4.990577553949073,
        4.990596150885564,
        4.990614747822054,
        4.99063382160307,
        4.99065241853956,
        4.9906710154760505,
        4.9906900892570665,
        4.990708686193557,
        4.990727283130047,
        4.990745880066537,
        4.990764953847553,
        4.990783550784044,
        4.990802147720534,
        4.990820744657024,
        4.990839818438039,
        4.99085841537453,
        4.99087701231102,
        4.99397793225965,
        4.9975280397512005,
        4.997550451443894,
        4.997572386292062,
        4.997594797984756,
        4.997616732832924,
        4.997639144525617,
        4.99766155621831,
        4.9976834910664785,
        4.997705902759172,
        4.99772783760734,
        4.997750249300034,
        4.997772184148202,
        4.997794595840896,
        4.997816530689064,
        4.997838942381756,
        4.9978608772299244,
        4.997883288922618,
        4.997905223770786,
        4.99792763546348,
        4.997949570311648,
        4.997971982004342,
        4.997994393697035,
        4.998016328545203,
        4.998038740237896,
        4.998060675086064,
        4.998082609934232,
        4.998105021626926,
        4.998126956475094,
        4.9981493681677875,
        4.998171303015956,
        4.998193714708649,
        4.998215649556817,
        4.998238061249511,
        4.998259996097679,
        4.998282407790372,
        4.99830434263854,
        4.9983267543312335,
        4.998348689179402,
        4.998371100872095,
        4.998393035720263,
        4.998415447412957,
        4.998437382261125,
        4.998459317109293,
        4.998481728801987,
        4.998503663650155,
        4.9985260753428475,
        4.998548010191016,
        4.998570421883709,
        4.998592356731877,
        4.998614291580045,
        4.998636703272739,
        4.998658638120907,
        4.998681049813601,
        4.998702984661769,
        4.998724919509937,
        4.9987473312026305,
        4.9987692660507985,
        4.998791677743492,
        4.99881361259166,
        4.998835547439828,
        4.998857959132521,
        4.998879893980689,
        4.998901828828857,
        4.998924240521551,
        4.998946175369719,
        4.9989685870624125,
        4.998990521910581,
        4.999012456758749,
        4.999034868451442,
        4.99905680329961,
        4.999078738147778,
        4.999101149840472,
        4.99912308468864,
        4.999145019536808,
        4.999167431229502,
        4.99918936607767,
        4.999211300925838,
        4.999233712618531,
        4.999255647466699,
        4.999277582314867,
        4.99929999400756,
        4.9993219288557285,
        4.9993438637038965,
        4.99936627539659,
        4.999388210244758,
        4.999410145092926,
        4.999432079941094,
        4.999454491633788,
        4.999476426481956,
        4.999498361330124,
        4.999520773022818,
        4.999542707870986,
        4.999564642719154,
        4.999586577567322,
        4.9996089892600155,
        4.9996309241081835,
        4.999652858956352,
        4.99967479380452,
        4.999697205497213,
        4.999719140345381,
        4.999741075193549,
        4.999763010041717,
        4.99978542173441,
        4.999807356582578,
        4.999829291430747,
        4.999851226278915,
        4.999873637971608,
        4.999895572819776,
        4.999917507667944,
        4.999939442516112,
        4.999961854208806,
        4.999983789056974,
        5.000005723905142,
        5.00002765875331,
        5.000049593601478,
        5.000072005294172,
        5.00009394014234,
        5.000115874990508,
        5.000137809838676,
        5.000159744686844,
        5.0001821563795374,
        5.0002040912277055,
        5.0002260260758735,
        5.000247960924042,
        5.00026989577221,
        5.000291830620378,
        5.000314242313071,
        5.000336177161239,
        5.000358112009407,
        5.000380046857575,
        5.0004019817057435,
        5.0004239165539115,
        5.0004458514020795,
        5.000468263094773,
        5.000490197942941,
        5.000512132791109,
        5.000534067639277,
        5.000556002487445,
        5.000577937335613,
        5.000599872183781,
        5.000622283876475,
        5.000644218724643,
        5.000666153572811,
        5.000688088420979,
        5.000710023269147,
        5.000731958117315,
        5.000753892965483,
        5.000775827813651,
        5.000797762661819,
        5.0008196975099874,
        5.000842109202681,
        5.000864044050849,
        5.000885978899017,
        5.000907913747185,
        5.000929848595353,
        5.000951783443521,
        5.000973718291689,
        5.000995653139857,
        5.001017587988026,
        5.001039522836194,
        5.001061457684362,
        5.00108339253253,
        5.0011053273806985,
        5.0011272622288665,
        5.0011491970770345,
        5.001171131925203,
        5.001193066773371,
        5.001215001621539,
        5.001237413314232,
        5.0012593481624,
        5.001281283010568,
        5.001303217858736,
        5.0013251527069045,
        5.0013470875550725,
        5.0013690224032405,
        5.001390957251409,
        5.001412892099577,
        5.001434826947745,
        5.001456761795913,
        5.001478696644081,
        5.001500631492249,
        5.001522566340417,
        5.001544501188585,
        5.001566436036753,
        5.001588370884921,
        5.001609828888564,
        5.001631763736732,
        5.0016536985849,
        5.001675633433068,
        5.001697568281236,
        5.001719503129404,
        5.001741437977572,
        5.0017633728257405,
        5.0017853076739085,
        5.0018072425220765,
        5.001829177370245,
        5.001851112218413,
        5.001873047066581,
        5.001894981914749,
        5.001916916762917,
        5.001938851611085,
        5.001960786459253,
        5.001982244462896,
        5.002004179311064,
        5.002026114159232,
        5.0020480490074,
        5.002069983855568,
        5.002091918703736,
        5.002113853551904,
        5.002135788400072,
        5.00215772324824,
        5.002179658096408,
        5.002201116100051,
        5.002223050948219,
        5.002244985796387,
        5.002266920644555,
        5.002288855492723,
        5.002310790340892,
        5.00233272518906,
        5.002354660037228,
        5.00237611804087,
        5.003162434663243,
        5.003184369511411,
        5.003206304359579,
        5.003227762363222,
        5.00324969721139,
        5.003271632059558,
        5.003293090063201,
        5.003315024911369,
        5.003336959759537,
        5.003358894607705,
        5.003380352611348,
        5.003402287459516,
        5.003424222307684,
        5.0034456803113265,
        5.003467615159495,
        5.003489550007663,
        5.003511008011305,
        5.003532942859473,
        5.003554877707642,
        5.003576335711284,
        5.003598270559452,
        5.00362020540762,
        5.003641663411263,
        5.003663598259431,
        5.003685533107599,
        5.003706991111242,
        5.00372892595941,
        5.003750860807578,
        5.003772318811221,
        5.003794253659389,
        5.003816188507557,
        5.003837646511199,
        5.003859581359368,
        5.003881516207536,
        5.0039029742111785,
        5.0039249090593465,
        5.003946367062989,
        5.003968301911157,
        5.003990236759325,
        5.004011694762968,
        5.004033629611136,
        5.004055564459304,
        5.004077022462947,
        5.004098957311115,
        5.004120415314757,
        5.004142350162925,
        5.0041638081665685,
        5.0041857430147365,
        5.0042076778629045,
        5.004229135866547,
        5.004251070714715,
        5.004272528718358,
        5.004294463566526,
        5.004315921570169,
        5.004337856418337,
        5.004359791266505,
        5.004381249270147,
        5.004403184118315,
        5.0044246421219585,
        5.0044465769701265,
        5.004468034973769,
        5.004489969821937,
        5.004511427825579,
        5.004533362673747,
        5.004554820677391,
        5.004576755525559,
        5.004598690373727,
        5.004620148377369,
        5.004642083225537,
        5.0046635412291804,
        5.0046854760773485,
        5.004706934080991,
        5.004728868929159,
        5.004750326932801,
        5.004772261780969,
        5.004793719784613,
        5.004815654632781,
        5.004837112636423,
        5.004859047484591,
        5.0048805054882335,
        5.004901963491877,
        5.004923898340045,
        5.004945356343687,
        5.004967291191855,
        5.004988749195498,
        5.005010684043666,
        5.005032142047309,
        5.005054076895477,
        5.005075534899119,
        5.005097469747287,
        5.005118927750931,
        5.005140385754573,
        5.005162320602741,
        5.0051837786063835,
        5.005205713454552,
        5.005227171458195,
        5.005249106306363,
        5.005270564310005,
        5.005292022313648,
        5.005313957161816,
        5.005335415165459,
        5.005357350013627,
        5.005378808017269,
        5.005400266020912,
        5.00542220086908,
        5.005443658872723,
        5.005465593720891,
        5.005487051724534,
        5.005508509728176,
        5.005530444576344,
        5.005551902579987,
        5.005573837428155,
        5.005595295431798,
        5.00561675343544,
        5.005638688283608,
        5.005660146287251,
        5.005681604290894,
        5.005703539139062,
        5.005724997142704,
        5.0057464551463475,
        5.005768389994516,
        5.005789847998158,
        5.0058113060018,
        5.005833240849969,
        5.005854698853612,
        5.005876156857254,
        5.005898091705422,
        5.005919549709065,
        5.005941007712708,
        5.005962942560876,
        5.005984400564518,
        5.0060058585681615,
        5.0060277934163295,
        5.006049251419972,
        5.006070709423614,
        5.006092167427258,
        5.006114102275426,
        5.006135560279068,
        5.00615701828271,
        5.0061789531308785,
        5.006200411134522,
        5.006221869138164,
        5.0062433271418065,
        5.006265261989975,
        5.006286719993618,
        5.00630817799726,
        5.006329636000903,
        5.006351570849071,
        5.006373028852714,
        5.006394486856356,
        5.006415944859999,
        5.006437879708167,
        5.00645933771181,
        5.0064807957154525,
        5.006502253719095,
        5.006524188567263,
        5.006545646570906,
        5.006567104574549,
        5.006588562578191,
        5.006610020581834,
        5.006631955430002,
        5.006653413433645,
        5.006674871437287,
        5.00669632944093,
        5.006717787444573,
        5.006739722292741,
        5.006761180296383,
        5.0067826383000265,
        5.006804096303669,
        5.006825554307311,
        5.006847489155479,
        5.006868947159123,
        5.006890405162765,
        5.006911863166407,
        5.006933321170051,
        5.006954779173693,
        5.006976714021861,
        5.0069981720255035,
        5.007019630029147,
        5.007041088032789,
        5.0070625460364315,
        5.007084004040075,
        5.007105462043717,
        5.007127396891885,
        5.007148854895528,
        5.007170312899171,
        5.007191770902813,
        5.007213228906456,
        5.007234686910099,
        5.007256144913741,
        5.007277602917384,
        5.007299537765552,
        5.007320995769195,
        5.0073424537728375,
        5.00736391177648,
        5.007385369780123,
        5.007406827783766,
        5.007428285787408,
        5.007449743791051,
        5.007471201794694,
        5.007492659798336,
        5.007514117801979,
        5.007535575805622,
        5.00755751065379,
        5.007578968657432,
        5.007600426661075,
        5.007621884664718,
        5.00764334266836,
        5.007664800672003,
        5.007686258675646,
        5.007707716679288,
        5.007729174682931,
        5.007750632686574,
        5.007772090690216,
        5.007793548693859,
        5.007815006697502,
        5.007836464701144,
        5.007857922704787,
        5.00787938070843,
        5.0079008387120725,
        5.007922296715715,
        5.007943754719358,
        5.0079652127230005,
        5.007986670726643,
        5.008008128730286,
        5.008029586733929,
        5.008051044737571,
        5.008072502741214,
        5.008093960744857,
        5.008115418748499,
        5.008136876752142,
        5.008158334755785,
        5.008179792759427,
        5.00820125076307,
        5.008222708766713,
        5.008244166770355,
        5.0082656247739985,
        5.008287082777641,
        5.008308540781283,
        5.008329998784927,
        5.008351456788569,
        5.008372914792211,
        5.008394372795854,
        5.008415353954971,
        5.008436811958614,
        5.008458269962257,
        5.0084797279658995,
        5.008501185969542,
        5.008522643973185,
        5.0085441019768275,
        5.00856555998047,
        5.008587017984113,
        5.008608475987756,
        5.008629933991398,
        5.008650915150516,
        5.008672373154158,
        5.008693831157801,
        5.008715289161444,
        5.008736747165086,
        5.008758205168729,
        5.008779663172372,
        5.008801121176014,
        5.008822579179657,
        5.008843560338774,
        5.008865018342417,
        5.00888647634606,
        5.008907934349702,
        5.008929392353345,
        5.008950850356988,
        5.00897230836063,
        5.008993289519748,
        5.00901474752339,
        5.009036205527033,
        5.009057663530676,
        5.0090791215343184,
        5.009100579537961,
        5.0091215606970785,
        5.009143018700721,
        5.009164476704364,
        5.0091859347080065,
        5.009207392711649,
        5.009228373870767,
        5.009249831874409,
        5.009271289878051,
        5.009292747881695,
        5.009314205885337,
        5.009335187044455,
        5.009356645048097,
        5.0093781030517395,
        5.009399561055383,
        5.009421019059025,
        5.009442000218143,
        5.009463458221785,
        5.009484916225428,
        5.009506374229071,
        5.009527355388188,
        5.00954881339183,
        5.009570271395473,
        5.009591729399116,
        5.009612710558233,
        5.009634168561876,
        5.009655626565518,
        5.009677084569161,
        5.009698065728278,
        5.009719523731921,
        5.009740981735564,
        5.0097619628946815,
        5.009783420898324,
        5.009804878901966,
        5.0098263369056095,
        5.009847318064726,
        5.009868776068369,
        5.009890234072012,
        5.009911215231129,
        5.009932673234772,
        5.009954131238414,
        5.009975589242057,
        5.009996570401174,
        5.010018028404817,
        5.01003948640846,
        5.010060467567577,
        5.01008192557122,
        5.0101033835748625,
        5.010124364733979,
        5.0101458227376225,
        5.010167280741265,
        5.010188261900383,
        5.010209719904025,
        5.010231177907667,
        5.010252159066785,
        5.010273617070427,
        5.010294598229545,
        5.010316056233187,
        5.010337514236831,
        5.0103584953959475,
        5.01037995339959,
        5.010401411403233,
        5.01042239256235,
        5.010443850565993,
        5.01046483172511,
        5.010486289728753,
        5.010507747732396,
        5.010528728891513,
        5.010550186895156,
        5.010571168054272,
        5.010592626057916,
        5.010614084061558,
        5.010635065220676,
        5.010656523224318,
        5.010677504383436,
        5.010698962387078,
        5.010719943546196,
        5.010741401549838,
        5.0107628595534806,
        5.010783840712598,
        5.010805298716241,
        5.010826279875358,
        5.010847737879001,
        5.010868719038118,
        5.010890177041761,
        5.010911158200878,
        5.010932616204521,
        5.010954074208163,
        5.010975055367281,
        5.010996513370923,
        5.011017494530041,
        5.011038952533683,
        5.011059933692801,
        5.011081391696443,
        5.011102372855561,
        5.011123830859203,
        5.011144812018321,
        5.011166270021963,
        5.011187251181081,
        5.011208709184723,
        5.01122969034384,
        5.011251148347483,
        5.0112721295066,
        5.011293587510243,
        5.01131456866936,
        5.011336026673003,
        5.01135700783212,
        5.011378465835763,
        5.01139944699488,
        5.011420428153998,
        5.01144188615764,
        5.011462867316758,
        5.0114843253204,
        5.011505306479518,
        5.01152676448316,
        5.011547745642278,
        5.01156920364592,
        5.011590184805037,
        5.011611165964155,
        5.011632623967797,
        5.011653605126915,
        5.011675063130557,
        5.011696044289675,
        5.011717502293317,
        5.011738483452435,
        5.0117594646115515,
        5.011780922615195,
        5.011801903774312,
        5.011823361777955,
        5.011844342937072,
        5.011865324096189,
        5.011886782099832,
        5.011907763258949,
        5.011928744418066,
        5.011950202421709,
        5.011971183580826,
        5.011992641584469,
        5.012013622743586,
        5.012034603902704,
        5.012056061906346,
        5.012077043065464,
        5.0120980242245805,
        5.012119482228224,
        5.0121404633873405,
        5.012161444546458,
        5.012182902550101,
        5.012203883709218,
        5.012224864868336,
        5.012246322871978,
        5.012267304031095,
        5.012288285190213,
        5.012309743193855,
        5.012330724352973,
        5.01235170551209,
        5.012373163515733,
        5.01239414467485,
        5.012415125833967,
        5.0124365838376095,
        5.012457564996727,
        5.012478546155845,
        5.0124995273149615,
        5.012520985318605,
        5.0125419664777215,
        5.012562947636839,
        5.012584405640482,
        5.012605386799599,
        5.012626367958716,
        5.012647349117834,
        5.012668807121476,
        5.012689788280594,
        5.01271076943971,
        5.012731750598828,
        5.01275320860247,
        5.012774189761588,
        5.012795170920706,
        5.0128161520798225,
        5.012837610083466,
        5.0128585912425825,
        5.0128795724017,
        5.012900553560817,
        5.0129215347199345,
        5.012942992723577,
        5.0129639738826945,
        5.012984955041811,
        5.013005936200929,
        5.013027394204571,
        5.013048375363689,
        5.013069356522807,
        5.013090337681923,
        5.013111318841041,
        5.013132300000158,
        5.013153758003801,
        5.013174739162918,
        5.013195720322035,
        5.013216701481153,
        5.01323768264027,
        5.013259140643912,
        5.01328012180303,
        5.0133011029621475,
        5.013322084121264,
        5.013343065280382,
        5.0133640464394995,
        5.013385027598616,
        5.013406485602259,
        5.013427466761376,
        5.013448447920494,
        5.013469429079611,
        5.013490410238728,
        5.013511391397845,
        5.013532372556963,
        5.013553830560605,
        5.013574811719723,
        5.01359579287884,
        5.013616774037957,
        5.013637755197075,
        5.0136587363561915,
        5.013679717515309,
        5.013700698674427,
        5.0137216798335436,
        5.013742660992661,
        5.013764118996304,
        5.013785100155421,
        5.013806081314538,
        5.013827062473656,
        5.013848043632773,
        5.01386902479189,
        5.013890005951008,
        5.013910987110124,
        5.013931968269242,
        5.01395294942836,
        5.013973930587476,
        5.013994911746594,
        5.014015892905711,
        5.0140368740648285,
        5.014057855223946,
        5.014078836383063,
        5.0140998175421805,
        5.014120798701297,
        5.014141779860415,
        5.0141627610195325,
        5.014184219023175,
        5.0142052001822925,
        5.014226181341409,
        5.014247162500527,
        5.014268143659644,
        5.014289124818761,
        5.014310105977879,
        5.014331087136996,
        5.014352068296113,
        5.01437304945523,
        5.014393553769822,
        5.01441453492894,
        5.014435516088057,
        5.014456497247174,
        5.014477478406292,
        5.0144984595654085,
        5.014519440724526,
        5.014540421883644,
        5.0145614030427605,
        5.014582384201878,
        5.014603365360995,
        5.014624346520113,
        5.01464532767923,
        5.014666308838347,
        5.014687289997465,
        5.014708271156581,
        5.014729252315699,
        5.014750233474817,
        5.014771214633933,
        5.014792195793051,
        5.014812700107643,
        5.01483368126676,
        5.014854662425877,
        5.014875643584994,
        5.014896624744112,
        5.014917605903229,
        5.014938587062346,
        5.014959568221464,
        5.0149805493805815,
        5.015001530539698,
        5.01502203485429,
        5.015043016013408,
        5.015063997172525,
        5.015084978331642,
        5.015105959490759,
        5.015126940649877,
        5.015147921808994,
        5.015168426123586,
        5.015189407282703,
        5.015210388441821,
        5.015231369600937,
        5.015252350760055,
        5.015273331919173,
        5.015294313078289,
        5.015314817392881,
        5.015335798551999,
        5.015356779711116,
        5.0153777608702335,
        5.01539874202935,
        5.015419246343942,
        5.01544022750306,
        5.0154612086621775,
        5.015482189821294,
        5.015503170980412,
        5.015524152139529,
        5.015544656454121,
        5.015565637613238,
        5.015586618772355,
        5.015607599931473,
        5.015628104246065,
        5.015649085405182,
        5.015670066564299,
        5.015691047723417,
        5.015712028882533,
        5.015732533197125,
        5.015753514356243,
        5.01577449551536,
        5.0157954766744774,
        5.0158159809890694,
        5.015836962148187,
        5.015857943307304,
        5.0158789244664215,
        5.0158994287810135,
        5.01592040994013,
        5.015941391099248,
        5.015962372258365,
        5.015982876572957,
        5.016003857732074,
        5.016024838891192,
        5.016045343205783,
        5.016066324364901,
        5.016087305524018,
        5.016108286683135,
        5.016128790997727,
        5.016149772156845,
        5.016170753315961,
        5.016191257630553,
        5.016212238789671,
        5.016233219948788,
        5.01625372426338,
        5.016274705422497,
        5.016295686581615,
        5.016316190896206,
        5.016337172055324,
        5.0163581532144415,
        5.0163786575290334,
        5.01639963868815,
        5.016420619847268,
        5.01644112416186,
        5.016462105320977,
        5.016483086480094,
        5.016503590794686,
        5.016524571953803,
        5.016545553112921,
        5.016566057427513,
        5.016587038586629,
        5.016607542901221,
        5.016628524060339,
        5.016649505219457,
        5.016670009534048,
        5.017314226487854,
        5.017334730802446,
        5.017355711961563,
        5.017376216276155,
        5.0173971974352725,
        5.0174177017498645,
        5.0174382060644565,
        5.017459187223573,
        5.017479691538165,
        5.017500672697283,
        5.017521177011875,
        5.017542158170992,
        5.017562662485584,
        5.017583643644701,
        5.017604147959293,
        5.01762512911841,
        5.017645633433002,
        5.01766661459212,
        5.017687118906712,
        5.017707623221303,
        5.01772860438042,
        5.017749108695012,
        5.01777008985413,
        5.017790594168721,
        5.017811575327839,
        5.017832079642431,
        5.017852583957023,
        5.0178735651161395,
        5.0194640800305885,
        5.02159342925873,
        5.021613933573322,
        5.021634437887914,
        5.02165446535798,
        5.021674969672572,
        5.021695473987164,
        5.0217159783017555,
        5.021736005771823,
        5.021756510086414,
        5.021777014401006,
        5.021797518715598,
        5.021817546185664,
        5.021838050500256,
        5.021858554814848,
        5.02187905912944,
        5.021899086599507,
        5.021919590914099,
        5.021940095228691,
        5.0219605995432826,
        5.021980627013349,
        5.022001131327941,
        5.022021635642533,
        5.022042139957125,
        5.022062167427191,
        5.022082671741783,
        5.022103176056375,
        5.022123203526442,
        5.022143707841034,
        5.022164212155626,
        5.022184239625692,
        5.022204743940284,
        5.022225248254876,
        5.022245275724942,
        5.022265780039534,
        5.022286284354125,
        5.022306311824193,
        5.022326816138785,
        5.022347320453376,
        5.022367347923443,
        5.022387852238034,
        5.022408356552626,
        5.022428384022693,
        5.022448888337284,
        5.022469392651876,
        5.022489420121943,
        5.022509924436535,
        5.022530428751127,
        5.022550456221193,
        5.022570960535785,
        5.0225909880058515,
        5.0226114923204435,
        5.0226319966350355,
        5.022652024105102,
        5.022672528419694,
        5.022693032734286,
        5.022713060204352,
        5.022733564518944,
        5.0227535919890105,
        5.0227740963036025,
        5.022794123773669,
        5.022814628088261,
        5.022835132402853,
        5.022855159872919,
        5.022875664187511,
        5.0228956916575775,
        5.0229161959721695,
        5.022936223442236,
        5.022956727756828,
        5.02297723207142,
        5.022997259541486,
        5.023017763856078,
        5.023037791326145,
        5.023058295640737,
        5.023078323110804,
        5.023098827425395,
        5.023118854895462,
        5.023139359210053,
        5.0231593866801205,
        5.0231798909947125,
        5.023199918464779,
        5.023220422779371,
        5.023240450249437,
        5.023260954564029,
        5.023280982034096,
        5.023301486348688,
        5.023321513818754,
        5.023342018133346,
        5.023362045603412,
        5.023382549918004,
        5.023402577388071,
        5.023423081702663,
        5.023443109172729,
        5.023463613487321,
        5.023483640957387,
        5.023504145271979,
        5.023524172742046,
        5.023544677056638,
        5.023564704526704,
        5.023585208841296,
        5.023605236311362,
        5.023625263781429,
        5.023645768096021,
        5.023665795566087,
        5.023686299880679,
        5.023706327350746,
        5.023726831665337,
        5.023746859135405,
        5.023766886605471,
        5.023787390920063,
        5.023807418390129,
        5.023827922704721,
        5.023847950174788,
        5.023867977644854,
        5.023888481959446,
        5.023908509429512,
        5.023929013744104,
        5.023949041214171,
        5.023969068684237,
        5.023989572998829,
        5.024009600468895,
        5.024030104783487,
        5.024050132253554,
        5.024070159723621,
        5.024090664038212,
        5.024110691508279,
        5.024130718978346,
        5.024151223292938,
        5.024171250763004,
        5.02419127823307,
        5.024211782547662,
        5.024231810017729,
        5.024251837487795,
        5.024272341802387,
        5.0242923692724535,
        5.02431239674252,
        5.024332901057112,
        5.024352928527179,
        5.024372955997245,
        5.024393460311837,
        5.024413487781904,
        5.02443351525197,
        5.024454019566562,
        5.0244740470366285,
        5.024494074506695,
        5.024514101976761,
        5.024534606291353,
        5.0245546337614195,
        5.024574661231487,
        5.024595165546078,
        5.024615193016145,
        5.0246352204862115,
        5.024655247956278,
        5.02467575227087,
        5.024695779740936,
        5.0247158072110025,
        5.024735834681069,
        5.024756338995661,
        5.024776366465727,
        5.0247963939357945,
        5.024816421405861,
        5.024836925720453,
        5.024856953190519,
        5.0248769806605855,
        5.024897008130652,
        5.024917035600718,
        5.02493753991531,
        5.024957567385377,
        5.024977594855444,
        5.02499762232551,
        5.025018126640102,
        5.0250381541101685,
        5.025058181580235,
        5.025078209050301,
        5.025098236520368,
        5.025118263990434,
        5.025138768305026,
        5.025158795775092,
        5.0251788232451595,
        5.025198850715226,
        5.025218878185292,
        5.025238905655359,
        5.025259409969951,
        5.025279437440017,
        5.025299464910083,
        5.0253194923801505,
        5.025339519850217,
        5.025359547320283,
        5.025380051634875,
        5.025400079104942,
        5.025420106575008,
        5.025440134045074,
        5.025460161515141,
        5.025480188985208,
        5.025500216455274,
        5.025520243925341,
        5.025540748239933,
        5.025560775709999,
        5.025580803180065,
        5.025600830650132,
        5.025620858120198,
        5.025640885590265,
        5.025660913060332,
        5.025680940530398,
        5.025700968000464,
        5.025720995470531,
        5.025741022940597,
        5.025761050410664,
        5.025781554725256,
        5.025801582195323,
        5.025821609665389,
        5.025841637135455,
        5.025861664605522,
        5.025881692075588,
        5.025901719545655,
        5.025921747015722,
        5.025941774485788,
        5.025961801955854,
        5.025981829425921,
        5.026001856895987,
        5.026021884366054,
        5.026041911836121,
        5.026061939306187,
        5.026081966776253,
        5.02610199424632,
        5.026122021716386,
        5.026142049186453,
        5.02616207665652,
        5.026182104126586,
        5.026202131596652,
        5.026222159066719,
        5.026242186536785,
        5.026262214006852,
        5.026282241476919,
        5.026302268946985,
        5.026322296417051,
        5.026342323887118,
        5.026362351357184,
        5.026382378827251,
        5.026402406297318,
        5.026422433767384,
        5.02644246123745,
        5.026462488707517,
        5.026482516177583,
        5.02650254364765,
        5.026522571117717,
        5.026542598587783,
        5.026562149213324,
        5.026582176683391,
        5.026602204153457,
        5.026622231623524,
        5.02664225909359,
        5.026662286563656,
        5.026682314033723,
        5.02670234150379,
        5.026722368973856,
        5.026742396443923,
        5.026762423913989,
        5.026781974539531,
        5.026802002009597,
        5.026822029479663,
        5.02684205694973,
        5.026862084419796,
        5.026882111889862,
        5.02690213935993,
        5.026922166829996,
        5.026942194300062,
        5.026961744925603,
        5.026981772395669,
        5.027001799865737,
        5.027021827335803,
        5.027041854805869,
        5.027061882275936,
        5.027081432901477,
        5.027101460371544,
        5.02712148784161,
        5.027141515311676,
        5.027161542781743,
        5.027181570251809,
        5.027201120877351,
        5.027221148347417,
        5.027241175817483,
        5.02726120328755,
        5.027281230757617,
        5.027300781383158,
        5.027320808853224,
        5.02734083632329,
        5.027360863793358,
        5.027380891263424,
        5.027400441888965,
        5.027420469359031,
        5.027440496829097,
        5.027460524299165,
        5.027480551769231,
        5.027500102394772,
        5.027520129864838,
        5.027540157334905,
        5.027560184804972,
        5.027579735430512,
        5.027599762900579,
        5.027619790370646,
        5.027639817840712,
        5.027659368466253,
        5.027679395936319,
        5.0276994234063865,
        5.027718974031927,
        5.027739001501994,
        5.02775902897206,
        5.027779056442126,
        5.027798607067668,
        5.027818634537734,
        5.027838662007801,
        5.027858212633342,
        5.027878240103409,
        5.027898267573475,
        5.027918295043541,
        5.027937845669083,
        5.027957873139149,
        5.027977900609216,
        5.027997451234756,
        5.0280174787048235,
        5.02803750617489,
        5.028057056800431,
        5.028077084270497,
        5.028097111740564,
        5.028116662366105,
        5.028136689836171,
        5.028156717306238,
        5.028176267931779,
        5.0281962954018455,
        5.028215846027386,
        5.0282358734974535,
        5.02825590096752,
        5.0282754515930606,
        5.028295479063127,
        5.028315506533194,
        5.028335057158735,
        5.028355084628801,
        5.028374635254343,
        5.028394662724409,
        5.0284146901944755,
        5.028434240820016,
        5.028957339264372,
        5.030035484736286,
        5.030055035361827,
        5.0300750628318935,
        5.030094613457434,
        5.030114164082976,
        5.030134191553042,
        5.030153742178584,
        5.0301732928041245,
        5.030193320274191,
        5.0302128708997325,
        5.030232421525273,
        5.030251972150815,
        5.030271999620881,
        5.030291550246422,
        5.030311100871963,
        5.030330651497504,
        5.0303506789675705,
        5.030370229593112,
        5.030389780218653,
        5.030409330844194,
        5.030429358314261,
        5.0304489089398015,
        5.030468459565343,
        5.030488010190884,
        5.03050803766095,
        5.030527588286492,
        5.030547138912032,
        5.030566689537574,
        5.030586240163115,
        5.030606267633181,
        5.030625818258723,
        5.030645368884263,
        5.030664919509805,
        5.030684470135346,
        5.030704497605412,
        5.030724048230954,
        5.030743598856494,
        5.030763149482036,
        5.030782700107577,
        5.030802727577643,
        5.030822278203185,
        5.030841828828725,
        5.030861379454267,
        5.030880930079808,
        5.030900480705348,
        5.030920508175416,
        5.030940058800956,
        5.030959609426497,
        5.030979160052039,
        5.030998710677579,
        5.031018261303121,
        5.031037811928662,
        5.031057839398728,
        5.03107739002427,
        5.03109694064981,
        5.031116491275352,
        5.031136041900893,
        5.031155592526434,
        5.031175143151975,
        5.0311946937775165,
        5.031214244403057,
        5.0312342718731236,
        5.031253822498665,
        5.031273373124206,
        5.0312929237497475,
        5.031312474375288,
        5.031332025000829,
        5.0313515756263705,
        5.031371126251911,
        5.031390676877453,
        5.0314102275029935,
        5.031429778128535,
        5.031449328754076,
        5.031468879379617,
        5.031488430005158,
        5.0315084574752245,
        5.031528008100766,
        5.031547558726307,
        5.031567109351848,
        5.031586659977389,
        5.03160621060293,
        5.031625761228471,
        5.031645311854012,
        5.031664862479554,
        5.031684413105094,
        5.031703963730636,
        5.031723514356177,
        5.031743064981718,
        5.031762615607259,
        5.031782166232801,
        5.031801716858341,
        5.031821267483882,
        5.031840818109424,
        5.031860368734964,
        5.031879919360506,
        5.031899469986047,
        5.031919020611588,
        5.031938571237129,
        5.0319581218626706,
        5.031977672488211,
        5.031997223113752,
        5.032016296894768,
        5.0320358475203095,
        5.03205539814585,
        5.032074948771392,
        5.0320944993969325,
        5.032114050022473,
        5.032133600648015,
        5.032153151273556,
        5.032172701899097,
        5.032192252524638,
        5.0322118031501795,
        5.03223135377572,
        5.032250904401262,
        5.0322704550268025,
        5.032289528807818,
        5.032309079433359,
        5.032328630058901,
        5.0323481806844415,
        5.032367731309983,
        5.032387281935524,
        5.0324068325610645,
        5.032426383186606,
        5.032445933812147,
        5.032465007593163,
        5.032484558218704,
        5.032504108844245,
        5.032523659469786,
        5.032543210095327,
        5.032562760720868,
        5.03258231134641,
        5.032601385127426,
        5.032620935752966,
        5.032640486378507,
        5.032660037004049,
        5.032679587629589,
        5.032699138255131,
        5.032718212036147,
        5.032737762661688,
        5.032757313287228,
        5.03277686391277,
        5.032796414538311,
        5.032815965163852,
        5.032835038944868,
        5.032854589570409,
        5.03287414019595,
        5.032893690821491,
        5.032912764602507,
        5.032932315228048,
        5.032951865853589,
        5.03297141647913,
        5.032990967104671,
        5.033010040885687,
        5.033029591511228,
        5.033049142136769,
        5.03306869276231,
        5.033087766543326,
        5.033107317168867,
        5.033126867794408,
        5.03314641841995,
        5.033165492200965,
        5.033185042826506,
        5.033204593452047,
        5.033224144077589,
        5.033243217858604,
        5.033262768484145,
        5.033282319109686,
        5.033301869735228,
        5.033320943516243,
        5.033340494141784,
        5.033360044767325,
        5.033379118548341,
        5.033398669173883,
        5.033418219799423,
        5.033437293580439,
        5.03345684420598,
        5.0334763948315215,
        5.033495945457062,
        5.033515019238078,
        5.033534569863619,
        5.0335541204891605,
        5.033573194270176,
        5.033592744895717,
        5.033612295521258,
        5.033631369302274,
        5.033650919927815,
        5.0336699937088305,
        5.033689544334372,
        5.033709094959913,
        5.033728168740929,
        5.0337477193664695,
        5.033767269992011,
        5.033786343773027,
        5.033805894398568,
        5.0338254450241084,
        5.033844518805124,
        5.033864069430666,
        5.033883143211681,
        5.033902693837223,
        5.033922244462763,
        5.033941318243779,
        5.03396086886932,
        5.033979942650336,
        5.033999493275878,
        5.034019043901418,
        5.034038117682434,
        5.034057668307975,
        5.034076742088991,
        5.034096292714532,
        5.034115366495548,
        5.034134917121089,
        5.03415446774663,
        5.034173541527646,
        5.0341930921531866,
        5.0342121659342025,
        5.034231716559743,
        5.034250790340759,
        5.034270340966301,
        5.034289414747316,
        5.034308965372857,
        5.0343280391538725,
        5.034347589779414,
        5.03436666356043,
        5.034386214185971,
        5.034405764811512,
        5.034424838592527,
        5.034444389218069,
        5.034463462999084,
        5.034483013624626,
        5.034502087405642,
        5.034521638031182,
        5.034540711812198,
        5.034559785593214,
        5.034579336218755,
        5.034598409999771,
        5.034617960625312,
        5.034637034406328,
        5.034656585031868,
        5.034675658812884,
        5.034695209438426,
        5.034714283219441,
        5.0347338338449825,
        5.034752907625998,
        5.034772458251539,
        5.034791532032555,
        5.03481060581357,
        5.034830156439112,
        5.034849230220128,
        5.0348687808456685,
        5.034887854626684,
        5.034907405252225,
        5.034926479033241,
        5.034945552814257,
        5.034965103439798,
        5.034984177220814,
        5.035003727846354,
        5.03502280162737,
        5.035041875408386,
        5.035061426033927,
        5.035080499814943,
        5.035100050440484,
        5.0351191242215,
        5.035138198002516,
        5.035157748628056,
        5.035176822409072,
        5.035195896190088,
        5.035215446815629,
        5.035234520596645,
        5.035254071222186,
        5.0352731450032016,
        5.0352922187842175,
        5.035311769409758,
        5.035330843190774,
        5.03534991697179,
        5.035369467597331,
        5.035388541378347,
        5.035407615159363,
        5.0354271657849035,
        5.035446239565919,
        5.035465313346935,
        5.035484863972476,
        5.035503937753492,
        5.035523011534508,
        5.035542085315523,
        5.035561635941065,
        5.03558070972208,
        5.035599783503096,
        5.035619334128637,
        5.035638407909652,
        5.035657481690668,
        5.035676555471684,
        5.035696106097225,
        5.035715179878241,
        5.035734253659257,
        5.035753804284798,
        5.0357728780658135,
        5.0357919518468295,
        5.0358110256278446,
        5.035830576253386,
        5.035849650034402,
        5.035868723815417,
        5.035887797596433,
        5.035906871377449,
        5.03592642200299,
        5.035945495784006,
        5.035964569565022,
        5.035983643346037,
        5.036003193971578,
        5.036022267752594,
        5.036041341533609,
        5.036060415314625,
        5.036079489095641,
        5.036099039721182,
        5.036118113502198,
        5.036137187283214,
        5.036156261064229,
        5.036175334845245,
        5.0361948854707865,
        5.036213959251802,
        5.0362330330328176,
        5.0362521068138335,
        5.0362711805948495,
        5.0362902543758645,
        5.036309805001406,
        5.036328878782421,
        5.036347952563437,
        5.036367026344453,
        5.036386100125469,
        5.036405173906484,
        5.0364242476875,
        5.036443798313042,
        5.036462872094057,
        5.036481945875073,
        5.036501019656089,
        5.036520093437104,
        5.03653916721812,
        5.036558240999136,
        5.036577314780152,
        5.036596388561167,
        5.036615939186708,
        5.036635012967724,
        5.036654086748739,
        5.036673160529755,
        5.036692234310771,
        5.036711308091787,
        5.036730381872802,
        5.036749455653818,
        5.036768529434834,
        5.036787603215849,
        5.036806676996865,
        5.036825750777881,
        5.036844824558897,
        5.036863898339912,
        5.036883448965454,
        5.03690252274647,
        5.036921596527485,
        5.036940670308501,
        5.036959744089517,
        5.036978817870532,
        5.036997891651548,
        5.037016965432564,
        5.03703603921358,
        5.037055112994595,
        5.037074186775611,
        5.0370932605566265,
        5.0371123343376425,
        5.037131408118658,
        5.0371504818996735,
        5.0371695556806895,
        5.037188629461705,
        5.0372077032427205,
        5.0372267770237364,
        5.037245850804752,
        5.0372649245857675,
        5.037283998366783,
        5.037303072147799,
        5.037322145928815,
        5.03734121970983,
        5.037360293490846,
        5.037379367271862,
        5.037397964208353,
        5.037417037989369,
        5.037436111770384,
        5.0374551855514,
        5.0374742593324155,
        5.0374933331134315,
        5.037512406894447,
        5.0375314806754625,
        5.0375505544564785,
        5.0375696282374935,
        5.0375887020185095,
        5.0376077757995255,
        5.037626849580541,
        5.0376459233615565,
        5.037664520298047,
        5.037683594079063,
        5.037702667860079,
        5.037721741641095,
        5.03774081542211,
        5.037759889203126,
        5.037778962984142,
        5.037798036765157,
        5.037816633701648,
        5.037835707482663,
        5.037854781263679,
        5.037873855044695,
        5.03789292882571,
        5.037912002606726,
        5.037931076387742,
        5.037949673324232,
        5.037968747105248,
        5.037987820886263,
        5.038006894667279,
        5.038025968448295,
        5.038045042229311,
        5.038063639165801,
        5.038082712946816,
        5.038101786727832,
        5.038120860508848,
        5.038139934289864,
        5.038159008070879,
        5.03817760500737,
        5.038196678788386,
        5.038215752569402,
        5.038234826350417,
        5.038253423286907,
        5.038272497067923,
        5.038291570848939,
        5.038310644629955,
        5.03832971841097,
        5.03834831534746,
        5.038367389128476,
        5.038386462909492,
        5.038405536690508,
        5.038424133626998,
        5.038443207408013,
        5.038462281189029,
        5.038481354970045,
        5.038499951906536,
        5.038519025687552,
        5.038538099468567,
        5.038557173249583,
        5.038575770186073,
        5.038594843967089,
        5.038613917748104,
        5.038632514684595,
        5.03865158846561,
        5.038670662246626,
        5.038689736027642,
        5.0387083329641325,
        5.0387274067451475,
        5.0387464805261635,
        5.038765077462654,
        5.03878415124367,
        5.038803225024686,
        5.038821821961176,
        5.038840895742191,
        5.038859969523207,
        5.038878566459697,
        5.038897640240713,
        5.038916714021729,
        5.03893531095822,
        5.038954384739235,
        5.038973458520251,
        5.038992055456741,
        5.039011129237757,
        5.039030203018773,
        5.039048799955263,
        5.039067873736278,
        5.039086947517294,
        5.0391055444537844,
        5.0391246182348,
        5.039143215171291,
        5.039162288952307,
        5.039181362733322,
        5.0424827958048795,
        5.046351673861655,
        5.046374085554349,
        5.046396497247042,
        5.046418908939735,
        5.046440843787904,
        5.046463255480597,
        5.0464856671732905,
        5.046508078865984,
        5.046530490558678,
        5.046552902251371,
        5.046575313944064,
        5.046597725636758,
        5.046620137329452,
        5.0466425490221445,
        5.046664960714838,
        5.046687372407532,
        5.0467097841002255,
        5.046732195792918,
        5.046754607485612,
        5.04677654233378,
        5.046798954026474,
        5.046821365719167,
        5.04684377741186,
        5.046866189104554,
        5.0468886007972475,
        5.046911012489941,
        5.046933424182635,
        5.046955835875328,
        5.046978247568021,
        5.047000182416189,
        5.047022594108883,
        5.047045005801577,
        5.04706741749427,
        5.047089829186963,
        5.047112240879657,
        5.047134652572351,
        5.047156587420519,
        5.047178999113211,
        5.047201410805905,
        5.047223822498599,
        5.0472462341912925,
        5.047268645883985,
        5.047291057576679,
        5.047312992424847,
        5.047335404117541,
        5.047357815810234,
        5.047380227502928,
        5.047402639195621,
        5.0474250508883145,
        5.0474469857364825,
        5.047469397429176,
        5.04749180912187,
        5.047514220814563,
        5.047536632507256,
        5.047558567355424,
        5.047580979048118,
        5.047603390740812,
        5.047625802433505,
        5.047648214126198,
        5.047670148974366,
        5.04769256066706,
        5.047714972359754,
        5.047737384052447,
        5.047759318900615,
        5.047781730593308,
        5.047804142286002,
        5.0478265539786955,
        5.047848965671389,
        5.047870900519557,
        5.04789331221225,
        5.047915723904944,
        5.047938135597637,
        5.047960070445805,
        5.047982482138499,
        5.048004893831193,
        5.048027305523886,
        5.048049240372054,
        5.048071652064747,
        5.048094063757441,
        5.048115998605609,
        5.048138410298303,
        5.0481608219909955,
        5.048183233683689,
        5.048205168531857,
        5.048227580224551,
        5.0482499919172446,
        5.048271926765413,
        5.048294338458106,
        5.048316750150799,
        5.048339161843493,
        5.048361096691661,
        5.0483835083843545,
        5.048405920077048,
        5.048427854925216,
        5.048450266617909,
        5.048472678310603,
        5.048494613158771,
        5.048517024851464,
        5.048539436544158,
        5.048561371392326,
        5.04858378308502,
        5.0486061947777126,
        5.048628129625881,
        5.048650541318574,
        5.048672953011268,
        5.048694887859436,
        5.04871729955213,
        5.0487397112448225,
        5.0487616460929905,
        5.048784057785684,
        5.048805992633852,
        5.048828404326546,
        5.04885081601924,
        5.048872750867408,
        5.048895162560101,
        5.048917574252794,
        5.048939509100962,
        5.048961920793656,
        5.048983855641824,
        5.0490062673345175,
        5.049028679027211,
        5.049050613875379,
        5.049073025568072,
        5.049094960416241,
        5.049117372108934,
        5.049139783801627,
        5.0491617186497955,
        5.049184130342489,
        5.049206065190657,
        5.049228476883351,
        5.049250411731519,
        5.049272823424212,
        5.049295235116905,
        5.049317169965073,
        5.049339581657767,
        5.049361516505935,
        5.049383928198629,
        5.049405863046797,
        5.0494282747394905,
        5.0494502095876586,
        5.049472621280351,
        5.049494556128519,
        5.049516967821213,
        5.049539379513907,
        5.049561314362075,
        5.0495837260547685,
        5.0496056609029365,
        5.04962807259563,
        5.049650007443798,
        5.049672419136491,
        5.049694353984659,
        5.049716765677353,
        5.049738700525521,
        5.049761112218214,
        5.0497830470663825,
        5.049805458759076,
        5.049827393607244,
        5.049849805299938,
        5.049871740148106,
        5.049894151840799,
        5.049916086688967,
        5.04993849838166,
        5.0499604332298285,
        5.0499823680779965,
        5.05000477977069,
        5.050026714618858,
        5.050049126311552,
        5.05007106115972,
        5.050093472852414,
        5.050115407700582,
        5.050137819393274,
        5.0501597542414425,
        5.050182165934136,
        5.050204100782304,
        5.050226035630472,
        5.050248447323166,
        5.050270382171334,
        5.050292793864028,
        5.050314728712196,
        5.050337140404889,
        5.050359075253057,
        5.050381010101225,
        5.050403421793919,
        5.050425356642087,
        5.05044776833478,
        5.050469703182948,
        5.050491638031116,
        5.05051404972381,
        5.050535984571978,
        5.050557919420146,
        5.050580331112839,
        5.0506022659610075,
        5.050624677653701,
        5.050646612501869,
        5.050668547350037,
        5.050690959042731,
        5.050712893890899,
        5.050734828739067,
        5.050757240431761,
        5.050779175279929,
        5.0508015869726215,
        5.0508235218207895,
        5.050845456668958,
        5.050867868361651,
        5.050889803209819,
        5.050911738057987,
        5.050934149750681,
        5.050956084598849,
        5.050978019447017,
        5.051000431139711,
        5.051022365987879,
        5.051044300836047,
        5.051066235684215,
        5.0510886473769085,
        5.051110582225077,
        5.051132517073245,
        5.051154928765938,
        5.051176863614106,
        5.051198798462274,
        5.051221210154967,
        5.051243145003135,
        5.051265079851303,
        5.051287014699472,
        5.051309426392165,
        5.051331361240333,
        5.051353296088501,
        5.051375707781195,
        5.051397642629363,
        5.051419577477531,
        5.051441512325699,
        5.0514639240183925,
        5.0514858588665605,
        5.051507793714729,
        5.051529728562897,
        5.05155214025559,
        5.051574075103758,
        5.051596009951926,
        5.051617944800094,
        5.051640356492788,
        5.051662291340956,
        5.051684226189124,
        5.051706161037292,
        5.05172809588546,
        5.051750507578154,
        5.051772442426322,
        5.05179437727449,
        5.051816312122658,
        5.051838246970826,
        5.05186065866352,
        5.051882593511688,
        5.051904528359856,
        5.051926463208024,
        5.051948398056192,
        5.051970809748886,
        5.051992744597054,
        5.052014679445222,
        5.05203661429339,
        5.052058549141558,
        5.052080483989726,
        5.052102895682419,
        5.0521248305305875,
        5.0521467653787555,
        5.0521687002269235,
        5.052190635075092,
        5.05221256992326,
        5.052234981615952,
        5.052256916464121,
        5.052278851312289,
        5.052300786160457,
        5.0523227210086255,
        5.0523446558567935,
        5.0523665907049615,
        5.052389002397654,
        5.052410937245823,
        5.052432872093991,
        5.052454806942159,
        5.052476741790327,
        5.052498676638495,
        5.052520611486663,
        5.0525425463348315,
        5.0525644811829995,
        5.0525864160311675,
        5.052608827723861,
        5.052630762572029,
        5.052652697420197,
        5.052674632268365,
        5.052696567116533,
        5.052718501964701,
        5.052740436812869,
        5.0527623716610375,
        5.0527843065092055,
        5.0528062413573736,
        5.052828176205542,
        5.05285011105371,
        5.052872045901878,
        5.052893980750046,
        5.052916392442739,
        5.052938327290907,
        5.0529602621390755,
        5.0529821969872435,
        5.0530041318354115,
        5.05302606668358,
        5.053048001531748,
        5.053069936379916,
        5.053091871228084,
        5.053113806076252,
        5.05313574092442,
        5.053157675772588,
        5.053179610620756,
        5.053201545468924,
        5.053223480317093,
        5.053245415165261,
        5.053267350013429,
        5.053289284861597,
        5.053311219709765,
        5.053333154557933,
        5.053355089406101,
        5.053377024254269,
        5.053398959102437,
        5.053420893950605,
        5.053442828798773,
        5.053464763646941,
        5.053486698495109,
        5.053508633343277,
        5.053530568191445,
        5.053552503039613,
        5.053573961043256,
        5.053595895891424,
        5.053617830739593,
        5.053639765587761,
        5.053661700435929,
        5.053683635284097,
        5.053705570132265,
        5.053727504980433,
        5.053749439828601,
        5.053771374676769,
        5.053793309524937,
        5.053815244373105,
        5.053837179221273,
        5.053859114069441,
        5.0538805720730835,
        5.0539025069212515,
        5.05392444176942,
        5.053946376617588,
        5.053968311465756,
        5.053990246313925,
        5.054012181162093,
        5.054034116010261,
        5.054056050858429,
        5.054077985706597,
        5.054099443710239,
        5.054121378558407,
        5.054143313406575,
        5.054165248254743,
        5.054187183102911,
        5.054209117951079,
        5.054231052799247,
        5.054252510802891,
        5.054274445651059,
        5.054296380499227,
        5.054318315347395,
        5.054340250195563,
        5.054362185043731,
        5.054383643047373,
        5.054405577895541,
        5.054427512743709,
        5.054449447591877,
        5.054471382440045,
        5.054493317288213,
        5.054514775291857,
        5.054536710140025,
        5.054558644988193,
        5.054580579836361,
        5.054602514684529,
        5.054623972688171,
        5.054645907536339,
        5.054667842384507,
        5.054689777232675,
        5.054711712080843,
        5.054733170084487,
        5.054755104932655,
        5.054777039780823,
        5.054798974628991,
        5.054820909477159,
        5.054842367480801,
        5.054864302328969,
        5.054886237177137,
        5.054908172025305,
        5.054929630028949,
        5.054951564877117,
        5.054973499725285,
        5.054995434573453,
        5.055016892577095,
        5.055038827425263,
        5.055060762273431,
        5.055082697121599,
        5.055104155125242,
        5.05512608997341,
        5.0551480248215785,
        5.055169482825221,
        5.055191417673389,
        5.055213352521557,
        5.055235287369725,
        5.055256745373367,
        5.0552786802215355,
        5.0553006150697035,
        5.055322073073347,
        5.055344007921515,
        5.055365942769683,
        5.055387400773325,
        5.055409335621493,
        5.055431270469661,
        5.055452728473305,
        5.055474663321473,
        5.055496598169641,
        5.055518056173283,
        5.055539991021451,
        5.055561925869619,
        5.055583383873262,
        5.05560531872143,
        5.055627253569598,
        5.055648711573241,
        5.055670646421409,
        5.055692581269577,
        5.055714039273219,
        5.055735974121387,
        5.0557579089695555,
        5.055779366973199,
        5.055801301821367,
        5.055822759825009,
        5.055844694673177,
        5.055866629521345,
        5.055888087524988,
        5.055910022373156,
        5.055931957221324,
        5.055953415224967,
        5.055975350073135,
        5.055996808076777,
        5.0560187429249455,
        5.0560406777731135,
        5.056062135776757,
        5.056084070624925,
        5.056105528628567,
        5.056127463476735,
        5.056148921480378,
        5.056170856328546,
        5.056192791176714,
        5.056214249180357,
        5.056236184028525,
        5.056257642032167,
        5.0562795768803355,
        5.056301034883978,
        5.056322969732146,
        5.056344427735789,
        5.056366362583957,
        5.056388297432125,
        5.056409755435768,
        5.056431690283936,
        5.056453148287578,
        5.056475083135747,
        5.056496541139389,
        5.056518475987557,
        5.0565399339912,
        5.056561868839368,
        5.056583326843011,
        5.056605261691179,
        5.056626719694822,
        5.05664865454299,
        5.056670112546632,
        5.0566920473948,
        5.056713505398443,
        5.056735440246611,
        5.056756898250254,
        5.056778833098422,
        5.056800291102064,
        5.056822225950232,
        5.0568436839538755,
        5.0568656188020435,
        5.056887076805686,
        5.056909011653854,
        5.056930469657497,
        5.05695192766114,
        5.056973862509308,
        5.05699532051295,
        5.057017255361118,
        5.057038713364761,
        5.057060648212929,
        5.057082106216572,
        5.05710404106474,
        5.057125499068382,
        5.0571469570720256,
        5.057168891920194,
        5.057190349923836,
        5.057212284772004,
        5.057233742775646,
        5.05725520077929,
        5.057277135627458,
        5.0572985936311,
        5.057320528479268,
        5.057341986482911,
        5.057363444486554,
        5.057385379334722,
        5.057406837338364,
        5.057428772186532,
        5.057450230190175,
        5.057471688193818,
        5.057493623041986,
        5.057515081045628,
        5.057536539049271,
        5.057558473897439,
        5.057579931901082,
        5.05760186674925,
        5.057623324752893,
        5.057644782756536,
        5.057666717604704,
        5.057688175608346,
        5.057709633611989,
        5.057731568460157,
        5.0577530264638,
        5.057774484467442,
        5.05779641931561,
        5.057817877319253,
        5.057839335322896,
        5.057861270171064,
        5.0578827281747065,
        5.057904186178349,
        5.057925644181992,
        5.05794757903016,
        5.057969037033803,
        5.057990495037445,
        5.058012429885613,
        5.058033887889256,
        5.058055345892899,
        5.058077280741067,
        5.058098738744709,
        5.0581201967483524,
        5.058141654751995,
        5.058163589600163,
        5.058185047603805,
        5.0582065056074486,
        5.058227963611091,
        5.058249898459259,
        5.058271356462901,
        5.058292814466545,
        5.058314272470187,
        5.058336207318355,
        5.0583576653219975,
        5.058379123325641,
        5.058400581329283,
        5.058422516177451,
        5.058443974181094,
        5.058465432184737,
        5.058486890188379,
        5.058508825036547,
        5.05853028304019,
        5.058551741043833,
        5.058573199047475,
        5.058594657051118,
        5.058616591899286,
        5.058638049902929,
        5.0586595079065715,
        5.058680965910214,
        5.058702423913857,
        5.058724358762025,
        5.058745816765668,
        5.05876727476931,
        5.058788732772953,
        5.058810190776596,
        5.058831648780238,
        5.058853583628406,
        5.058875041632049,
        5.058896499635692,
        5.058917957639334,
        5.058939415642977,
        5.05896087364662,
        5.058982808494788,
        5.05900426649843,
        5.0590257245020736,
        5.059047182505716,
        5.059068640509358,
        5.059090098513002,
        5.059111556516644,
        5.059133491364812,
        5.0591549493684544,
        5.059176407372098,
        5.05919786537574,
        5.0592193233793825,
        5.059240781383026,
        5.059262239386668,
        5.059283697390311,
        5.059305155393954,
        5.059326613397596,
        5.059348548245764,
        5.059370006249407,
        5.05939146425305,
        5.059412922256692,
        5.059434380260335,
        5.059455838263978,
        5.05947729626762,
        5.059498754271263,
        5.059520212274906,
        5.0595416702785485,
        5.059563128282191,
        5.059584586285834,
        5.059606044289477,
        5.059627502293119,
        5.059649437141287,
        5.05967089514493,
        5.059692353148573,
        5.059713811152215,
        5.059735269155858,
        5.059756727159501,
        5.059778185163143,
        5.0597996431667855,
        5.059821101170429,
        5.059842559174071,
        5.059864017177714,
        5.059885475181357,
        5.059906933184999,
        5.059928391188642,
        5.059949849192285,
        5.059971307195927,
        5.05999276519957,
        5.060014223203213,
        5.060035681206855,
        5.060057139210498,
        5.060078597214141,
        5.0601000552177835,
        5.060121513221426,
        5.060442906431541,
        5.060464364435184,
        5.060485822438826,
        5.060507280442469,
        5.060528738446112,
        5.060549719605229,
        5.060571177608872,
        5.060592635612514,
        5.060614093616157,
        5.0606355516198,
        5.0606570096234424,
        5.060678467627085,
        5.060699925630728,
        5.0607213836343705,
        5.060742364793488,
        5.0607638227971306,
        5.060785280800773,
        5.060806738804416,
        5.060828196808059,
        5.060849654811701,
        5.060871112815343,
        5.060892093974461,
        5.060913551978103,
        5.060935009981747,
        5.060956467985389,
        5.0609779259890315,
        5.060999383992675,
        5.061020841996317,
        5.061041823155435,
        5.061063281159077,
        5.06108473916272,
        5.061106197166363,
        5.061127655170005,
        5.061148636329123,
        5.061170094332765,
        5.061191552336408,
        5.06121301034005,
        5.061234468343693,
        5.061255926347336,
        5.061276907506453,
        5.061298365510096,
        5.061319823513738,
        5.0613412815173815,
        5.061362262676498,
        5.0613837206801415,
        5.061405178683784,
        5.061426636687426,
        5.06144809469107,
        5.061469075850186,
        5.06149053385383,
        5.061511991857472,
        5.061533449861114,
        5.061554431020232,
        5.0615758890238745,
        5.061597347027517,
        5.06161880503116,
        5.061639786190277,
        5.06166124419392,
        5.0616827021975626,
        5.06170368335668,
        5.061725141360323,
        5.061746599363965,
        5.061768057367608,
        5.061789038526725,
        5.061810496530368,
        5.061831954534011,
        5.061852935693127,
        5.061874393696771,
        5.061895851700413,
        5.0619173097040555,
        5.061938290863173,
        5.0619597488668155,
        5.061981206870459,
        5.062002188029576,
        5.062023646033219,
        5.062045104036861,
        5.062066085195979,
        5.062087543199621,
        5.062109001203264,
        5.062129982362381,
        5.062151440366024,
        5.062172898369666,
        5.062193879528784,
        5.062215337532426,
        5.062236795536069,
        5.062257776695186,
        5.0622792346988295,
        5.062300215857946,
        5.0623216738615895,
        5.062343131865232,
        5.062364113024349,
        5.062385571027992,
        5.062407029031634,
        5.062428010190752,
        5.062449468194394,
        5.062470449353512,
        5.062491907357154,
        5.062513365360797,
        5.062534346519914,
        5.062555804523557,
        5.062576785682674,
        5.062598243686317,
        5.062619701689959,
        5.062640682849077,
        5.062662140852719,
        5.062683122011837,
        5.062704580015479,
        5.062725561174597,
        5.062747019178239,
        5.062768477181883,
        5.062789458340999,
        5.062810916344642,
        5.062831897503759,
        5.062853355507402,
        5.062874336666519,
        5.062895794670162,
        5.0629167758292795,
        5.062938233832922,
        5.0629592149920395,
        5.062980672995682,
        5.063002130999325,
        5.063023112158442,
        5.063044570162084,
        5.063065551321202,
        5.063087009324844,
        5.063107990483962,
        5.063129448487604,
        5.063150429646722,
        5.063171887650364,
        5.063192868809482,
        5.063214326813124,
        5.063235307972242,
        5.0632567659758845,
        5.063277747135002,
        5.063298728294119,
        5.063320186297762,
        5.063341167456879,
        5.063362625460522,
        5.063383606619639,
        5.063405064623281,
        5.063426045782399,
        5.063447503786041,
        5.063468484945159,
        5.063489942948801,
        5.063510924107919,
        5.063531905267037,
        5.063553363270679,
        5.063574344429796,
        5.063595802433439,
        5.063616783592556,
        5.063638241596199,
        5.063659222755316,
        5.0636802039144335,
        5.063701661918076,
        5.0637226430771936,
        5.063744101080836,
        5.063765082239954,
        5.06378606339907,
        5.063807521402714,
        5.06382850256183,
        5.063849960565474,
        5.06387094172459,
        5.063891922883708,
        5.06391338088735,
        5.063934362046468,
        5.0639558200501105,
        5.063976801209228,
        5.063997782368345,
        5.064019240371988,
        5.064040221531105,
        5.0640612026902225,
        5.064082660693865,
        5.064103641852983,
        5.064124623012099,
        5.064146081015743,
        5.064167062174859,
        5.064188043333977,
        5.064209501337619,
        5.064230482496737,
        5.064251463655854,
        5.064272921659497,
        5.064293902818614,
        5.064314883977731,
        5.064336341981374,
        5.0643573231404915,
        5.064378304299609,
        5.0643997623032515,
        5.064420743462368,
        5.064441724621486,
        5.0644627057806035,
        5.064484163784246,
        5.064505144943364,
        5.06452612610248,
        5.064547584106124,
        5.06456856526524,
        5.064589546424358,
        5.064610527583475,
        5.064631985587118,
        5.064652966746235,
        5.064673947905352,
        5.064694929064469,
        5.0647163870681124,
        5.064737368227229,
        5.064758349386347,
        5.0647793305454645,
        5.064800788549107,
        5.0648217697082245,
        5.064842750867341,
        5.064863732026459,
        5.064885190030101,
        5.064906171189219,
        5.064927152348336,
        5.064948133507453,
        5.06496911466657,
        5.064990572670213,
        5.06501155382933,
        5.065032534988448,
        5.065053516147565,
        5.065074497306682,
        5.065095955310325,
        5.065116936469442,
        5.06513791762856,
        5.0651588987876766,
        5.065179879946794,
        5.065200861105912,
        5.065222319109554,
        5.065243300268671,
        5.065264281427789,
        5.065285262586906,
        5.065306243746023,
        5.065327224905141,
        5.065348682908783,
        5.065369664067901,
        5.065390645227017,
        5.065411626386135,
        5.065432607545253,
        5.0654535887043695,
        5.065474569863487,
        5.0654960278671295,
        5.065517009026247,
        5.065537990185364,
        5.0655589713444815,
        5.065579952503599,
        5.065600933662716,
        5.0656219148218335,
        5.06564289598095,
        5.065663877140068,
        5.065684858299186,
        5.065706316302828,
        5.065727297461946,
        5.065748278621062,
        5.06576925978018,
        5.065790240939297,
        5.065811222098414,
        5.065832203257532,
        5.065853184416649,
        5.065874165575766,
        5.065895146734883,
        5.065916127894001,
        5.0659371090531184,
        5.065958090212235,
        5.065979071371353,
        5.06600005253047,
        5.066021033689587,
        5.06604249169323,
        5.066063472852347,
        5.066084454011465,
        5.066105435170582,
        5.066126416329699,
        5.066147397488816,
        5.066168378647934,
        5.066189359807051,
        5.066210340966168,
        5.066231322125286,
        5.0662523032844025,
        5.06627328444352,
        5.066294265602638,
        5.0663152467617545,
        5.066336227920872,
        5.066357209079989,
        5.0663781902391065,
        5.066399171398224,
        5.066420152557341,
        5.0664411337164585,
        5.066462114875575,
        5.066482619190167,
        5.066503600349285,
        5.066524581508403,
        5.066545562667519,
        5.066566543826637,
        5.066587524985754,
        5.066608506144871,
        5.066629487303989,
        5.066650468463106,
        5.066671449622223,
        5.06669243078134,
        5.066713411940458,
        5.066734393099575,
        5.066755374258692,
        5.06677635541781,
        5.0667973365769265,
        5.0668178408915185,
        5.066838822050636,
        5.066859803209753,
        5.066880784368871,
        5.066901765527988,
        5.066922746687105,
        5.066943727846223,
        5.06696470900534,
        5.066985690164457,
        5.067006194479049,
        5.067027175638167,
        5.067048156797283,
        5.067069137956401,
        5.067090119115518,
        5.067111100274635,
        5.067132081433753,
        5.067152585748345,
        5.067173566907462,
        5.067194548066579,
        5.067215529225696,
        5.067236510384814,
        5.0672574915439315,
        5.067278472703048,
        5.06729897701764,
        5.067319958176758,
        5.067340939335875,
        5.067361920494992,
        5.067382901654109,
        5.067403405968701,
        5.067424387127819,
        5.067445368286936,
        5.067466349446053,
        5.067487330605171,
        5.067507834919763,
        5.067528816078879,
        5.067549797237997,
        5.067570778397114,
        5.067591759556231,
        5.067612263870823,
        5.067633245029941,
        5.067654226189058,
        5.0676752073481754,
        5.067695711662767,
        5.067716692821884,
        5.067737673981002,
        5.067758655140119,
        5.067779159454711,
        5.067800140613828,
        5.067821121772946,
        5.067842102932063,
        5.067862607246655,
        5.067883588405772,
        5.067904569564889,
        5.067925550724007,
        5.067946055038599,
        5.067967036197715,
        5.067988017356833,
        5.068008521671425,
        5.068029502830542,
        5.068050483989659,
        5.068071465148777,
        5.068091969463369,
        5.068112950622486,
        5.068133931781603,
        5.068154436096195,
        5.068175417255312,
        5.06819639841443,
        5.068216902729022,
        5.068237883888139,
        5.068258865047256,
        5.068279369361848,
        5.068300350520965,
        5.068321331680083,
        5.068341835994675,
        5.068362817153792,
        5.068383798312909,
        5.068404302627501,
        5.068425283786619,
        5.068446264945735,
        5.068466769260327,
        5.068487750419445,
        5.068508731578562,
        5.068529235893154,
        5.068550217052271,
        5.068570721366863,
        5.06859170252598,
        5.068612683685098,
        5.06863318799969,
        5.0686541691588065,
        5.0686746734733985,
        5.068695654632516,
        5.068716635791634,
        5.068737140106225,
        5.0687581212653425,
        5.0687786255799345,
        5.068799606739052,
        5.068820587898169,
        5.068841092212761,
        5.0688620733718786,
        5.06888257768647,
        5.068903558845587,
        5.068924063160179,
        5.068945044319297,
        5.068965548633888,
        5.068986529793006,
        5.069007510952123,
        5.069028015266715,
        5.069048996425832,
        5.069069500740424,
        5.069090481899542,
        5.069110986214134,
        5.0691319673732504,
        5.069152471687842,
        5.06917345284696,
        5.069193957161552,
        5.069214938320669,
        5.069235442635261,
        5.0692564237943785,
        5.0692769281089705,
        5.069297909268087,
        5.069318413582679,
        5.069339394741797,
        5.069359899056388,
        5.069380880215506,
        5.069401384530098,
        5.069422365689215,
        5.069442870003806,
        5.069463851162924,
        5.069484355477516,
        5.069505336636634,
        5.069525840951225,
        5.069546822110342,
        5.069567326424934,
        5.069587830739526,
        5.069608811898643,
        5.069629316213235,
        5.069650297372353,
        5.069670801686945,
        5.0696917828460615,
        5.0697122871606535,
        5.0697327914752455,
        5.069753772634363,
        5.069774276948955,
        5.069795258108072,
        5.069815762422664,
        5.0698367435817815,
        5.0698572478963735,
        5.0698777522109655,
        5.069898733370082,
        5.069919237684674,
        5.069940218843792,
        5.069960723158384,
        5.069981227472975,
        5.070002208632093,
        5.070022712946685,
        5.070043217261277,
        5.070064198420393,
        5.070084702734985,
        5.070105683894103,
        5.070126188208695,
        5.070146692523287,
        5.070167673682404,
        5.070188177996996,
        5.070208682311588,
        5.070229663470705,
        5.070250167785297,
        5.0702706720998885,
        5.070291653259006,
        5.070312157573598,
        5.07033266188819,
        5.070353643047307,
        5.070374147361899,
        5.070394651676491,
        5.0704156328356085,
        5.0704361371502005,
        5.0704566414647925,
        5.070477145779384,
        5.070498126938501,
        5.070518631253093,
        5.070539135567685,
        5.070560116726802,
        5.070580621041394,
        5.070601125355986,
        5.070621629670578,
        5.070642610829696,
        5.070663115144288,
        5.070683619458879,
        5.070704123773471,
        5.070725104932588,
        5.07074560924718,
        5.070766113561772,
        5.070786617876364,
        5.070807599035481,
        5.070828103350073,
        5.070848607664665,
        5.070869111979257,
        5.070890093138374,
        5.070910597452966,
        5.070931101767558,
        5.07095160608215,
        5.070972587241267,
        5.070993091555859,
        5.071013595870451,
        5.0710341001850425,
        5.0710546044996345,
        5.071075585658752,
        5.071096089973344,
        5.071116594287936,
        5.071137098602528,
        5.071157602917119,
        5.071178107231711,
        5.071199088390829,
        5.071219592705421,
        5.071240097020013,
        5.071260601334605,
        5.071281105649196,
        5.071301609963788,
        5.071322591122906,
        5.071343095437498,
        5.07136359975209,
        5.071384104066682,
        5.071404608381274,
        5.071425112695865,
        5.071445617010457,
        5.071466598169574,
        5.071487102484166,
        5.071507606798758,
        5.07152811111335,
        5.071548615427941,
        5.071569119742533,
        5.071589624057125,
        5.071610128371717,
        5.071630632686309,
        5.071651613845427,
        5.071672118160018,
        5.07169262247461,
        5.071713126789202,
        5.071733631103794,
        5.071754135418386,
        5.071774639732978,
        5.07179514404757,
        5.071815648362162,
        5.071836152676754,
        5.071856656991345,
        5.071877161305937,
        5.071897665620529,
        5.071918646779647,
        5.071939151094239,
        5.071959655408831,
        5.071980159723423,
        5.072000664038014,
        5.072021168352606,
        5.072041672667198,
        5.07206217698179,
        5.072082681296382,
        5.072103185610974,
        5.072123689925566,
        5.072144194240158,
        5.072164698554749,
        5.072185202869341,
        5.072205707183933,
        5.072226211498525,
        5.072246715813117,
        5.072267220127709,
        5.072287724442301,
        5.072308228756893,
        5.072328733071485,
        5.072349237386076,
        5.072369741700668,
        5.07239024601526,
        5.072410750329852,
        5.072431254644444,
        5.072451758959036,
        5.072472263273628,
        5.07249276758822,
        5.0725127950582865,
        5.0725332993728784,
        5.07255380368747,
        5.072574308002062,
        5.0725948123166535,
        5.0726153166312455,
        5.0726358209458375,
        5.0726563252604295,
        5.0726768295750215,
        5.0726973338896135,
        5.0727178382042055,
        5.0727383425187975,
        5.072758846833389,
        5.072778874303456,
        5.072799378618048,
        5.072819882932639,
        5.072840387247231,
        5.072860891561823,
        5.072881395876415,
        5.072901900191007,
        5.072922404505599,
        5.072942908820191,
        5.072962936290257,
        5.072983440604849,
        5.073003944919441,
        5.073024449234033,
        5.073044953548624,
        5.073065457863216,
        5.073085962177808,
        5.073105989647875,
        5.073126493962467,
        5.073146998277059,
        5.073167502591651,
        5.073188006906243,
        5.073208511220835,
        5.073228538690901,
        5.073249043005493,
        5.073269547320085,
        5.073290051634677,
        5.073310555949269,
        5.07333106026386,
        5.073351087733927,
        5.0733715920485185,
        5.0733920963631105,
        5.0734126006777025,
        5.073432628147769,
        5.073453132462361,
        5.073473636776953,
        5.073494141091545,
        5.073514645406137,
        5.073534672876203,
        5.073555177190795,
        5.073575681505387,
        5.073596185819979,
        5.0736162132900455,
        5.0736367176046375,
        5.0736572219192295,
        5.0736777262338215,
        5.073697753703888,
        5.07371825801848,
        5.073738762333072,
        5.073759266647663,
        5.07377929411773,
        5.073799798432322,
        5.073820302746913,
        5.073840807061505,
        5.073860834531572,
        5.073881338846164,
        5.073901843160756,
        5.073921870630822,
        5.073942374945414,
        5.073962879260006,
        5.073982906730072,
        5.074003411044664,
        5.074023915359256,
        5.074043942829323,
        5.074064447143915,
        5.074084951458507,
        5.074105455773099,
        5.074125483243165,
        5.074145987557757,
        5.074166491872349,
        5.074186519342415,
        5.074207023657007,
        5.074227051127074,
        5.074247555441666,
        5.074268059756258,
        5.074288087226324,
        5.074308591540916,
        5.074329095855508,
        5.074349123325574,
        5.074369627640166,
        5.074390131954758,
        5.074410159424825,
        5.074430663739417,
        5.074450691209483,
        5.074471195524075,
        5.074491699838667,
        5.0745117273087335,
        5.0745322316233255,
        5.074552259093392,
        5.074572763407984,
        5.074593267722576,
        5.074613295192642,
        5.074633799507234,
        5.0746538269773005,
        5.0746743312918925,
        5.074694358761959,
        5.074714863076551,
        5.074735367391143,
        5.074755394861209,
        5.074775899175801,
        5.0747959266458675,
        5.0748164309604595,
        5.074836458430526,
        5.074856962745118,
        5.074876990215184,
        5.074897494529776,
        5.074917521999843,
        5.074938026314435,
        5.074958053784501,
        5.074978558099093,
        5.074999062413685,
        5.075019089883751,
        5.075039594198343,
        5.07505962166841,
        5.075080125983002,
        5.075100153453068,
        5.07512065776766,
        5.075140685237726,
        5.075160712707794,
        5.075181217022385,
        5.075201244492452,
        5.075221748807043,
        5.07524177627711,
        5.075262280591702,
        5.075282308061769,
        5.075302812376361,
        5.075322839846427,
        5.075343344161019,
        5.075363371631085,
        5.075383875945677,
        5.075403903415744,
        5.07542393088581,
        5.075444435200402,
        5.075464462670468,
        5.07548496698506,
        5.075504994455127,
        5.075525498769719,
        5.075545526239785,
        5.075565553709851,
        5.075586058024443,
        5.07560608549451,
        5.075626589809102,
        5.075646617279168,
        5.075666644749235,
        5.075687149063827,
        5.075707176533894,
        5.075727680848486,
        5.075747708318552,
        5.075767735788618,
        5.07578824010321,
        5.075808267573277,
        5.075828295043343,
        5.075848799357935,
        5.0758688268280014,
        5.075889331142593,
        5.07590935861266,
        5.075929386082726,
        5.075949890397318,
        5.0759699178673845,
        5.075989945337452,
        5.076010449652044,
        5.07603047712211,
        5.076050504592176,
        5.076071008906768,
        5.076091036376835,
        5.076111063846901,
        5.076131568161493,
        5.0761515956315595,
        5.076171623101626,
        5.076191650571692,
        5.076212154886284,
        5.076232182356351,
        5.076252209826418,
        5.07627271414101,
        5.076292741611076,
        5.0763127690811425,
        5.076332796551209,
        5.076353300865801,
        5.076373328335867,
        5.0763933558059335,
        5.076413383276,
        5.076433887590592,
        5.076453915060659,
        5.0764739425307255,
        5.076493970000792,
        5.076514474315384,
        5.07653450178545,
        5.0765545292555165,
        5.076574556725583,
        5.076595061040175,
        5.076615088510241,
        5.076635115980308,
        5.076655143450375,
        5.076675647764967,
        5.076695675235033,
        5.0767157027050995,
        5.076735730175166,
        5.076755757645232,
        5.076776261959824,
        5.076796289429891,
        5.076816316899957,
        5.076836344370024,
        5.0768563718400905,
        5.076876399310157,
        5.076896903624749,
        5.076916931094815,
        5.076936958564882,
        5.076956986034948,
        5.076977013505014,
        5.0769970409750815,
        5.0770175452896735,
        5.07703757275974,
        5.077057600229806,
        5.077077627699873,
        5.077097655169939,
        5.077117682640005,
        5.0771377101100725,
        5.077158214424664,
        5.077178241894731,
        5.077198269364797,
        5.077218296834864,
        5.07723832430493,
        5.077258351774996,
        5.077278379245063,
        5.07729840671513,
        5.077318434185196,
        5.077338938499788,
        5.077358965969855,
        5.077378993439921,
        5.077399020909987,
        5.077419048380054,
        5.077439075850121,
        5.077459103320187,
        5.077479130790254,
        5.07749915826032,
        5.077519185730386,
        5.077539213200453,
        5.07755924067052,
        5.077579268140586,
        5.077599295610653,
        5.077619799925245,
        5.077639827395311,
        5.077659854865377,
        5.077679882335444,
        5.07769990980551,
        5.077719937275577,
        5.077739964745644,
        5.07775999221571,
        5.077780019685776,
        5.077800047155843,
        5.077820074625909,
        5.077840102095976,
        5.077860129566043,
        5.077880157036109,
        5.077900184506175,
        5.077920211976242,
        5.077940239446308,
        5.077960266916375,
        5.077980294386442,
        5.078000321856508,
        5.078020349326574,
        5.078040376796641,
        5.078060404266707,
        5.078079954892249,
        5.078099982362315,
        5.078120009832381,
        5.078140037302448,
        5.078160064772515,
        5.078180092242581,
        5.078200119712648,
        5.078220147182714,
        5.07824017465278,
        5.078260202122847,
        5.078280229592914,
        5.07830025706298,
        5.078320284533047,
        5.078340312003113,
        5.078360339473179,
        5.078379890098721,
        5.078399917568787,
        5.078419945038854,
        5.07843997250892,
        5.078459999978986,
        5.078480027449054,
        5.07850005491912,
        5.078520082389186,
        5.078540109859253,
        5.078559660484794,
        5.078579687954861,
        5.078599715424927,
        5.078619742894993,
        5.07863977036506,
        5.078659797835126,
        5.078679825305193,
        5.078699375930734,
        5.0787194034008,
        5.078739430870867,
        5.078759458340933,
        5.078779485811,
        5.078799513281067,
        5.078819063906607,
        5.078839091376674,
        5.078859118846741,
        5.078879146316807,
        5.078899173786874,
        5.078918724412414,
        5.078938751882482,
        5.078958779352548,
        5.078978806822614,
        5.078998834292681,
        5.079018384918221,
        5.079038412388289,
        5.079058439858355,
        5.079078467328421,
        5.079098494798488,
        5.079118045424029,
        5.079138072894096,
        5.079158100364162,
        5.079178127834228,
        5.07919767845977,
        5.079217705929836,
        5.079237733399903,
        5.079257760869969,
        5.0792773114955105,
        5.079297338965577,
        5.079317366435643,
        5.07933739390571,
        5.07935694453125,
        5.0793769720013175,
        5.079396999471384,
        5.079416550096925,
        5.079436577566991,
        5.079456605037058,
        5.079476155662599,
        5.079496183132665,
        5.079516210602732,
        5.079536238072799,
        5.07955578869834,
        5.079575816168406,
        5.079595843638472,
        5.079615394264014,
        5.07963542173408,
        5.079655449204147,
        5.079674999829688,
        5.0796950272997545,
        5.079715054769821,
        5.079734605395362,
        5.079754632865429,
        5.079774660335495,
        5.079794210961036,
        5.079814238431102,
        5.079833789056644,
        5.07985381652671,
        5.0798738439967766,
        5.079893394622318,
        5.0799134220923845,
        5.079933449562451,
        5.079953000187992,
        5.079973027658059,
        5.0799925782835995,
        5.080012605753666,
        5.080032633223732,
        5.080052183849274,
        5.08007221131934,
        5.080091761944881,
        5.080111789414948,
        5.0801318168850145,
        5.080151367510555,
        5.0801713949806215,
        5.080190945606163,
        5.0802109730762295,
        5.08023052370177,
        5.080250551171837,
        5.080270578641904,
        5.0802901292674445,
        5.080310156737511,
        5.0803297073630524,
        5.080349734833119,
        5.0803692854586595,
        5.080389312928727,
        5.0804088635542675,
        5.080428891024334,
        5.080448441649875,
        5.080468469119942,
        5.0804880197454825,
        5.080508047215549,
        5.08052759784109,
        5.080547625311157,
        5.080567175936698,
        5.080587203406765,
        5.080606754032305,
        5.080626781502372,
        5.080646332127913,
        5.08066635959798,
        5.0806859102235205,
        5.080705937693588,
        5.080725488319128,
        5.080745515789195,
        5.080765066414736,
        5.080785093884803,
        5.080804644510343,
        5.08082467198041,
        5.080844222605951,
        5.080863773231492,
        5.080883800701558,
        5.0809033513271,
        5.080923378797166,
        5.080942929422708,
        5.080962956892774,
        5.080982507518315,
        5.081002058143857,
        5.081022085613923,
        5.081041636239464,
        5.08106166370953,
        5.081081214335072,
        5.081100764960612,
        5.081120792430679,
        5.08114034305622,
        5.081160370526287,
        5.081179921151828,
        5.081199471777369,
        5.081219499247435,
        5.081239049872977,
        5.081259077343043,
        5.081278627968584,
        5.081298178594126,
        5.081318206064192,
        5.081337756689733,
        5.081357307315274,
        5.081377334785341,
        5.081396885410881,
        5.081416436036423,
        5.081436463506489,
        5.08145601413203,
        5.081475564757572,
        5.081495592227638,
        5.081515142853179,
        5.08153469347872,
        5.081554720948787,
        5.081574271574328,
        5.081613849669935,
        5.082580175100643,
        5.084216943934055,
        5.084275595810679,
        5.084294669591694,
        5.084314220217236,
        5.084372872093859,
        5.0843919458748745,
        5.084411496500415,
        5.084431047125957,
        5.0844505977514975,
        5.0844696715325135,
        5.084489222158054,
        5.084508772783596,
        5.0845283234091365,
        5.0845473971901525,
        5.084566947815694,
        5.084586498441235,
        5.0846060490667755,
        5.0846251228477914,
        5.084644673473333,
        5.084664224098874,
        5.08468329787989,
        5.08470284850543,
        5.084722399130972,
        5.084761023537529,
        5.084780574163069,
        5.084800124788611,
        5.084819198569627,
        5.084858299820708,
        5.084877373601724,
        5.084896924227266,
        5.084955099259363,
        5.084974649884905,
        5.085387358821633,
        5.086615471896781,
        5.086654096303339,
        5.086673170084354,
        5.0866927207098955,
        5.086711794490911,
        5.0867308682719266,
        5.086750418897468,
        5.086769492678483,
        5.086788566459499,
        5.086807640240515,
        5.086827190866056,
        5.086846264647072,
        5.086865338428088,
        5.0868848890536285,
        5.086903962834644,
        5.08692303661566,
        5.086942110396675,
        5.086961661022217,
        5.086980734803233,
        5.086999808584248,
        5.087018882365264,
        5.087038432990805,
        5.087057506771821,
        5.087076580552837,
        5.087095654333853,
        5.087115204959393,
        5.087134278740409,
        5.087153352521425,
        5.08717242630244,
        5.087191976927982,
        5.087211050708997,
        5.087230124490013,
        5.087249198271029,
        5.087268272052045,
        5.0872878226775855,
        5.0873068964586015,
        5.087325970239617,
        5.0873450440206325,
        5.087364117801648,
        5.087383191582664,
        5.087402742208205,
        5.087421815989221,
        5.087440889770237,
        5.087459963551252,
        5.087479037332268,
        5.087498111113284,
        5.087517661738825,
        5.087536735519841,
        5.087555809300857,
        5.087574883081873,
        5.087593956862888,
        5.087613030643904,
        5.0876321044249195,
        5.08765165505046,
        5.087670728831476,
        5.087689802612492,
        5.087708876393507,
        5.087727950174523,
        5.087747023955539,
        5.087766097736555,
        5.08778517151757,
        5.087804245298586,
        5.087823319079602,
        5.087842869705143,
        5.087861943486159,
        5.087881017267175,
        5.08790009104819,
        5.087919164829206,
        5.087938238610222,
        5.087957312391238,
        5.087976386172253,
        5.087995459953269,
        5.088014533734285,
        5.0880336075153005,
        5.088052681296316,
        5.088071755077332,
        5.0880908288583475,
        5.088109902639363,
        5.0881289764203785,
        5.0881480502013945,
        5.0881671239824104,
        5.0881861977634255,
        5.0882052715444415,
        5.088224345325457,
        5.088243419106473,
        5.088262492887488,
        5.088281566668504,
        5.08830064044952,
        5.088319714230535,
        5.088338788011551,
        5.088357861792567,
        5.088376935573583,
        5.088396009354598,
        5.088415083135614,
        5.08843415691663,
        5.091945163157098,
        5.096142825514132,
        5.096165237206826,
        5.096188125744044,
        5.096210537436738,
        5.096233425973956,
        5.09625583766665,
        5.096278249359344,
        5.096301137896562,
        5.096323549589256,
        5.0963459612819495,
        5.096368849819168,
        5.096391261511862,
        5.096413673204555,
        5.096436561741774,
        5.096458973434467,
        5.096481385127161,
        5.096503796819855,
        5.096526685357073,
        5.096549097049767,
        5.096571508742461,
        5.096594397279679,
        5.096616808972373,
        5.096639220665066,
        5.096662109202285,
        5.0966845208949785,
        5.096706932587672,
        5.096729344280365,
        5.096752232817584,
        5.096774644510278,
        5.096797056202971,
        5.09681994474019,
        5.096842356432884,
        5.0968647681255765,
        5.09688717981827,
        5.0969100683554895,
        5.096932480048182,
        5.096954891740876,
        5.09697730343357,
        5.097000191970788,
        5.097022603663482,
        5.0970450153561755,
        5.097067427048869,
        5.097090315586088,
        5.097112727278781,
        5.097135138971475,
        5.097157550664168,
        5.097180439201387,
        5.097202850894081,
        5.0972252625867736,
        5.097247674279467,
        5.097270562816687,
        5.097292974509379,
        5.097315386202073,
        5.097337797894767,
        5.09736020958746,
        5.097383098124679,
        5.0974055098173725,
        5.097427921510066,
        5.097450333202759,
        5.097472744895453,
        5.097495633432672,
        5.097518045125365,
        5.0975404568180585,
        5.097562868510752,
        5.097585280203446,
        5.097607691896139,
        5.097630580433358,
        5.097652992126052,
        5.097675403818744,
        5.097697815511438,
        5.097720227204132,
        5.097742638896825,
        5.097765527434044,
        5.0977879391267376,
        5.097810350819431,
        5.097832762512124,
        5.097855174204818,
        5.097877585897511,
        5.097899997590205,
        5.0979228861274235,
        5.097945297820117,
        5.097967709512811,
        5.097990121205504,
        5.098012532898197,
        5.098034944590891,
        5.098057356283585,
        5.0980797679762775,
        5.098102656513497,
        5.0981250682061905,
        5.098147479898883,
        5.098169891591577,
        5.098192303284271,
        5.098214714976964,
        5.098237126669658,
        5.098259538362351,
        5.0982819500550445,
        5.098304361747738,
        5.098327250284957,
        5.09834966197765,
        5.098372073670344,
        5.098394485363038,
        5.09841689705573,
        5.098439308748424,
        5.098461720441118,
        5.0984841321338115,
        5.098506543826504,
        5.098528955519198,
        5.098551367211892,
        5.098573778904585,
        5.098596190597278,
        5.098618602289972,
        5.099515069997711,
        5.099537481690404,
        5.0995598933830975,
        5.099582305075791,
        5.099604239923959,
        5.099626651616653,
        5.099649063309346,
        5.099671475002039,
        5.099693886694733,
        5.099716298387427,
        5.0997387100801195,
        5.099761121772813,
        5.099783533465507,
        5.0998059451582005,
        5.0998278800063686,
        5.099850291699062,
        5.099872703391755,
        5.099895115084449,
        5.099917526777142,
        5.099939938469836,
        5.099962350162529,
        5.0999847618552225,
        5.100006696703391,
        5.100029108396084,
        5.100051520088778,
        5.100073931781471,
        5.100096343474164,
        5.100118755166858,
        5.100141166859552,
        5.10016310170772,
        5.100185513400413,
        5.100207925093106,
        5.1002303367858,
        5.100252748478494,
        5.100275160171187,
        5.100297095019355,
        5.100319506712048,
        5.100341918404742,
        5.1003643300974355,
        5.100386741790129,
        5.100409153482822,
        5.10043108833099,
        5.100453500023684,
        5.100475911716377,
        5.100498323409071,
        5.100520735101764,
        5.100542669949932,
        5.100565081642626,
        5.100587493335319,
        5.100609905028013,
        5.100631839876181,
        5.100654251568875,
        5.100676663261567,
        5.100699074954261,
        5.100721486646955,
        5.100743421495123,
        5.1007658331878165,
        5.100788244880509,
        5.100810656573203,
        5.100832591421371,
        5.100855003114065,
        5.100877414806758,
        5.100899826499451,
        5.10092176134762,
        5.100944173040313,
        5.100966584733007,
        5.1009889964257,
        5.101010931273868,
        5.101033342966562,
        5.101055754659255,
        5.101078166351948,
        5.1011001012001165,
        5.10112251289281,
        5.101144924585504,
        5.101166859433672,
        5.101189271126365,
        5.101211682819058,
        5.101233617667226,
        5.10125602935992,
        5.101278441052614,
        5.101300852745307,
        5.1013227875934755,
        5.101345199286168,
        5.101367610978862,
        5.10138954582703,
        5.101411957519724,
        5.101434369212417,
        5.101456304060585,
        5.101478715753278,
        5.101501127445972,
        5.10152306229414,
        5.101545473986834,
        5.101567885679527,
        5.101589820527695,
        5.101612232220389,
        5.101634643913082,
        5.10165657876125,
        5.1016789904539435,
        5.101701402146637,
        5.101723336994805,
        5.101745748687499,
        5.101767683535667,
        5.101790095228361,
        5.101812506921053,
        5.101834441769221,
        5.101856853461915,
        5.101879265154609,
        5.101901200002777,
        5.1019236116954705,
        5.1019455465436385,
        5.101967958236331,
        5.101990369929025,
        5.102012304777193,
        5.102034716469887,
        5.102056651318055,
        5.102079063010748,
        5.102101474703442,
        5.10212340955161,
        5.102145821244303,
        5.102167756092471,
        5.102190167785165,
        5.102212102633333,
        5.102234514326026,
        5.10225692601872,
        5.102278860866888,
        5.102301272559582,
        5.10232320740775,
        5.102345619100443,
        5.102367553948611,
        5.102389965641304,
        5.102411900489472,
        5.102434312182166,
        5.102456247030334,
        5.102478658723028,
        5.1025010704157205,
        5.1025230052638895,
        5.102545416956582,
        5.10256735180475,
        5.102589763497444,
        5.102611698345612,
        5.102634110038306,
        5.102656044886474,
        5.102678456579167,
        5.1027003914273354,
        5.102722803120028,
        5.102744737968197,
        5.10276714966089,
        5.102789084509058,
        5.102811496201752,
        5.10283343104992,
        5.102855842742613,
        5.102877777590781,
        5.102900189283475,
        5.102922124131643,
        5.102944535824337,
        5.102966470672505,
        5.102988405520673,
        5.103010817213366,
        5.103032752061534,
        5.103055163754227,
        5.1030770986023954,
        5.103099510295089,
        5.103121445143257,
        5.103143856835951,
        5.103165791684119,
        5.103188203376813,
        5.103210138224981,
        5.103232073073149,
        5.103254484765841,
        5.1032764196140095,
        5.103298831306703,
        5.103320766154871,
        5.103343177847565,
        5.103365112695733,
        5.103387047543901,
        5.103409459236595,
        5.103431394084763,
        5.103453805777456,
        5.103475740625624,
        5.103497675473792,
        5.103520087166485,
        5.103542022014654,
        5.103564433707347,
        5.103586368555515,
        5.103608303403683,
        5.103630715096377,
        5.103652649944545,
        5.103674584792713,
        5.103696996485406,
        5.1037189313335745,
        5.1037408661817425,
        5.103763277874436,
        5.103785212722604,
        5.103807624415298,
        5.103829559263466,
        5.103851494111634,
        5.103873905804327,
        5.103895840652495,
        5.103917775500664,
        5.1039401871933565,
        5.1039621220415246,
        5.103984056889693,
        5.104006468582386,
        5.104028403430554,
        5.104050338278722,
        5.104072749971416,
        5.104094684819584,
        5.104116619667752,
        5.10413855451592,
        5.104160966208614,
        5.104182901056782,
        5.10420483590495,
        5.104227247597644,
        5.104249182445812,
        5.10427111729398,
        5.104293528986673,
        5.104315463834841,
        5.104337398683009,
        5.104359333531177,
        5.10438174522387,
        5.104403680072038,
        5.104425614920207,
        5.104447549768375,
        5.104469961461068,
        5.104491896309236,
        5.104513831157404,
        5.104535766005572,
        5.104558177698266,
        5.104580112546434,
        5.104602047394602,
        5.10462398224277,
        5.104646393935464,
        5.104668328783632,
        5.1046902636318,
        5.104712198479968,
        5.104734610172661,
        5.104756545020829,
        5.1047784798689975,
        5.1048004147171655,
        5.1048223495653335,
        5.104844761258027,
        5.104866696106195,
        5.104888630954363,
        5.104910565802531,
        5.104932500650699,
        5.104954912343393,
        5.104976847191561,
        5.104998782039729,
        5.105020716887897,
        5.105042651736065,
        5.105065063428759,
        5.105086998276927,
        5.105108933125095,
        5.105130867973263,
        5.105152802821431,
        5.105174737669599,
        5.105197149362293,
        5.105219084210461,
        5.105241019058629,
        5.105262953906797,
        5.105284888754965,
        5.105306823603133,
        5.105328758451301,
        5.105351170143995,
        5.105373104992163,
        5.105395039840331,
        5.105416974688499,
        5.105438909536667,
        5.105460844384835,
        5.105482779233003,
        5.1055051909256965,
        5.105527125773865,
        5.105549060622033,
        5.105570995470201,
        5.105592930318369,
        5.105614865166537,
        5.105636800014705,
        5.105658734862873,
        5.105680669711041,
        5.105702604559209,
        5.105724539407377,
        5.105746951100071,
        5.105768885948239,
        5.105790820796407,
        5.105812755644575,
        5.105834690492743,
        5.105856625340911,
        5.105878560189079,
        5.105900495037247,
        5.105922429885415,
        5.105944364733583,
        5.105966299581751,
        5.105988234429919,
        5.106010169278087,
        5.106032104126255,
        5.106054038974423,
        5.106075973822592,
        5.10609790867076,
        5.106119843518928,
        5.106142255211621,
        5.106164190059789,
        5.106186124907957,
        5.106208059756125,
        5.106229994604294,
        5.106251929452462,
        5.10627386430063,
        5.106295799148798,
        5.106317733996966,
        5.106339668845134,
        5.106361603693302,
        5.10638353854147,
        5.106405473389638,
        5.106427408237806,
        5.106449343085974,
        5.106471277934142,
        5.10649321278231,
        5.106514670785953,
        5.106536605634121,
        5.106558540482289,
        5.106580475330457,
        5.106602410178626,
        5.106624345026794,
        5.106646279874962,
        5.10666821472313,
        5.106690149571298,
        5.106712084419466,
        5.106734019267634,
        5.106755954115802,
        5.10677788896397,
        5.106799823812138,
        5.106821758660306,
        5.106843693508474,
        5.106865628356642,
        5.10688756320481,
        5.106909021208453,
        5.106930956056621,
        5.106952890904789,
        5.106974825752958,
        5.106996760601126,
        5.107018695449294,
        5.107040630297462,
        5.10706256514563,
        5.107084499993798,
        5.107106434841966,
        5.107127892845608,
        5.107149827693776,
        5.107171762541944,
        5.107193697390112,
        5.1072156322382805,
        5.1072375670864485,
        5.1072595019346165,
        5.107281436782785,
        5.107302894786428,
        5.107324829634596,
        5.107346764482764,
        5.107368699330932,
        5.1073906341791,
        5.107412569027268,
        5.107434503875436,
        5.1074559618790785,
        5.1074778967272465,
        5.1074998315754145,
        5.107521766423583,
        5.107543701271751,
        5.107565159275394,
        5.107587094123562,
        5.10760902897173,
        5.107630963819898,
        5.107652898668066,
        5.107674833516234,
        5.1076962915198765,
        5.1077182263680445,
        5.1077401612162125,
        5.107762096064381,
        5.107784030912549,
        5.107805488916192,
        5.10782742376436,
        5.107849358612528,
        5.107871293460696,
        5.107892751464338,
        5.1079146863125064,
        5.1079366211606745,
        5.1079585560088425,
        5.107980490857011,
        5.108001948860654,
        5.108023883708822,
        5.10804581855699,
        5.108067753405158,
        5.1080892114088,
        5.108111146256968,
        5.108133081105136,
        5.10815453910878,
        5.108176473956948,
        5.108241801656926,
        5.108263736505094,
        5.108285671353262,
        5.10830760620143,
        5.108329064205073,
        5.108350999053241,
        5.10837293390141,
        5.108394391905052,
        5.10841632675322,
        5.108438261601388,
        5.1084597196050305,
        5.108481654453199,
        5.108503589301367,
        5.108525524149535,
        5.108546982153178,
        5.108568917001346,
        5.108590851849514,
        5.108612309853156,
        5.108634244701324,
        5.1086561795494925,
        5.108677637553136,
        5.108699572401304,
        5.108721507249472,
        5.108742965253114,
        5.108764900101282,
        5.108786358104925,
        5.108808292953093,
        5.108830227801261,
        5.108851685804904,
        5.108873620653072,
        5.10889555550124,
        5.1089170135048825,
        5.1089389483530505,
        5.108960406356693,
        5.108982341204862,
        5.10900427605303,
        5.109025734056672,
        5.10904766890484,
        5.109069603753008,
        5.109091061756651,
        5.109112996604819,
        5.109134454608462,
        5.10915638945663,
        5.109178324304798,
        5.1091997823084405,
        5.1092217171566086,
        5.109243175160251,
        5.109265110008419,
        5.109286568012062,
        5.10930850286023,
        5.109330437708398,
        5.109351895712041,
        5.109373830560209,
        5.109395288563852,
        5.10941722341202,
        5.1094386814156625,
        5.1094606162638305,
        5.109482074267473,
        5.109504009115641,
        5.109525467119284,
        5.109547401967452,
        5.10956933681562,
        5.109590794819263,
        5.109612729667431,
        5.109634187671073,
        5.109656122519241,
        5.1096775805228845,
        5.1096995153710525,
        5.109720973374695,
        5.109742908222863,
        5.109764366226506,
        5.109786301074674,
        5.109807759078317,
        5.109829693926485,
        5.109851151930127,
        5.109873086778295,
        5.109894544781938,
        5.109916479630106,
        5.109937937633749,
        5.109959395637391,
        5.109981330485559,
        5.1100027884892025,
        5.110024723337371,
        5.110046181341013,
        5.110068116189181,
        5.110089574192823,
        5.110111509040991,
        5.110132967044635,
        5.110154901892803,
        5.110176359896445,
        5.1101978179000875,
        5.110219752748256,
        5.110241210751899,
        5.110263145600067,
        5.110284603603709,
        5.110306538451877,
        5.110327996455521,
        5.110349454459163,
        5.110371389307331,
        5.110392847310973,
        5.1104147821591415,
        5.110436240162785,
        5.110457698166427,
        5.110479633014595,
        5.110501091018238,
        5.110523025866406,
        5.110544483870049,
        5.110565941873691,
        5.110587876721859,
        5.110609334725502,
        5.110630792729145,
        5.110652727577313,
        5.110674185580955,
        5.1106961204291235,
        5.110717578432766,
        5.110739036436409,
        5.110760971284577,
        5.11078242928822,
        5.110803887291862,
        5.11082582214003,
        5.110847280143673,
        5.110868738147316,
        5.110890672995484,
        5.110912130999126,
        5.110933589002769,
        5.110955523850937,
        5.11097698185458,
        5.110998439858222,
        5.11102037470639,
        5.1110418327100335,
        5.111063290713676,
        5.111084748717318,
        5.111106683565486,
        5.11112814156913,
        5.111149599572772,
        5.11117153442094,
        5.111192992424583,
        5.111214450428226,
        5.111236385276394,
        5.111257843280036,
        5.1112793012836795,
        5.111300759287322,
        5.11132269413549,
        5.111344152139132,
        5.111365610142776,
        5.111387068146418,
        5.111409002994586,
        5.111430460998228,
        5.111451919001872,
        5.111473377005514,
        5.111495311853682,
        5.1115167698573245,
        5.111538227860968,
        5.11155968586461,
        5.111581620712778,
        5.111603078716421,
        5.111624536720064,
        5.111645994723706,
        5.111667452727349,
        5.111689387575517,
        5.11171084557916,
        5.111732303582802,
        5.111753761586445,
        5.111775219590088,
        5.112077062174661,
        5.1120985201783045,
        5.112119978181947,
        5.112141436185589,
        5.1121628941892325,
        5.112184829037401,
        5.112206287041043,
        5.112227745044685,
        5.112249203048329,
        5.112270661051971,
        5.112292119055613,
        5.112313577059256,
        5.112335035062899,
        5.1123564930665415,
        5.1123784279147095,
        5.112399885918353,
        5.112421343921995,
        5.112442801925638,
        5.11246425992928,
        5.112485717932923,
        5.112507175936566,
        5.112528633940208,
        5.112550091943851,
        5.112571549947494,
        5.112593007951136,
        5.112614942799304,
        5.1126364008029475,
        5.11265785880659,
        5.112679316810232,
        5.1127007748138755,
        5.112722232817518,
        5.11274369082116,
        5.112765148824804,
        5.112786606828446,
        5.112808064832088,
        5.112829522835732,
        5.112850980839374,
        5.1128724388430165,
        5.11289389684666,
        5.112915354850302,
        5.1129368128539445,
        5.112958270857588,
        5.11297972886123,
        5.113001186864873,
        5.113022644868516,
        5.113044102872158,
        5.113065560875801,
        5.113087018879444,
        5.113108476883086,
        5.113129934886729,
        5.113151392890372,
        5.113172850894014,
        5.113194308897657,
        5.1132157669013,
        5.1132372249049425,
        5.113258682908585,
        5.113280140912227,
        5.1133015989158705,
        5.113323056919513,
        5.113344514923155,
        5.113365972926799,
        5.113387430930441,
        5.113408888934083,
        5.113430346937727,
        5.113451804941369,
        5.1134732629450115,
        5.113494244104129,
        5.1135157021077715,
        5.113537160111415,
        5.113558618115057,
        5.1135800761187,
        5.113601534122343,
        5.113622992125985,
        5.113644450129628,
        5.113665908133271,
        5.113687366136913,
        5.113708824140556,
        5.113730282144199,
        5.113751263303316,
        5.113772721306958,
        5.113794179310601,
        5.113815637314244,
        5.113837095317886,
        5.1138585533215295,
        5.113880011325172,
        5.113901469328814,
        5.113922450487932,
        5.113943908491574,
        5.113965366495218,
        5.11398682449886,
        5.114008282502502,
        5.114029740506146,
        5.114051198509788,
        5.114072179668906,
        5.114093637672548,
        5.1141150956761905,
        5.114136553679834,
        5.114158011683476,
        5.114179469687119,
        5.114200450846236,
        5.114221908849879,
        5.114243366853521,
        5.114264824857164,
        5.114286282860807,
        5.114307264019924,
        5.114328722023567,
        5.114350180027209,
        5.114371638030852,
        5.114393096034495,
        5.114414077193612,
        5.114435535197255,
        5.114456993200897,
        5.1144784512045405,
        5.114499909208183,
        5.1145208903673,
        5.114542348370943,
        5.114563806374585,
        5.114585264378228,
        5.114606245537345,
        5.114627703540988,
        5.115692974210716,
        5.115735413373476,
        5.1157563945325935,
        5.115777852536236,
        5.115798833695353,
        5.115820291698996,
        5.115841749702638,
        5.115862730861756,
        5.115884188865398,
        5.115905170024516,
        5.115926628028158,
        5.115947609187276,
        5.115969067190918,
        5.115990048350036,
        5.116011506353678,
        5.116032487512795,
        5.116053945516438,
        5.116075403520081,
        5.1160963846791985,
        5.116117842682841,
        5.1161388238419585,
        5.116160281845601,
        5.1161812630047185,
        5.116202721008361,
        5.116223702167478,
        5.116245160171121,
        5.116266141330238,
        5.116287599333881,
        5.116308580492998,
        5.116330038496641,
        5.116351019655758,
        5.116372000814875,
        5.116393458818518,
        5.1164144399776355,
        5.116435897981278,
        5.1164568791403955,
        5.116478337144038,
        5.1164993183031555,
        5.116520776306798,
        5.1165417574659156,
        5.116563215469558,
        5.116584196628676,
        5.116605177787792,
        5.116626635791435,
        5.116647616950552,
        5.116669074954195,
        5.116690056113312,
        5.116711514116955,
        5.116732495276072,
        5.11675347643519,
        5.1167749344388325,
        5.116795915597949,
        5.1168173736015925,
        5.116838354760709,
        5.116859335919827,
        5.116880793923469,
        5.116901775082587,
        5.116923233086229,
        5.116944214245347,
        5.116965195404464,
        5.116986653408107,
        5.117007634567224,
        5.117029092570867,
        5.117050073729984,
        5.117071054889101,
        5.117092512892744,
        5.1171134940518614,
        5.117134475210978,
        5.1171559332146215,
        5.117176914373738,
        5.117197895532856,
        5.117219353536498,
        5.117240334695616,
        5.117261315854733,
        5.117282773858376,
        5.117303755017493,
        5.11732473617661,
        5.117346194180253,
        5.11736717533937,
        5.117388156498488,
        5.11740961450213,
        5.117430595661247,
        5.117451576820365,
        5.117473034824007,
        5.117494015983125,
        5.1175149971422424,
        5.117535978301359,
        5.1175574363050025,
        5.117578417464119,
        5.117599398623237,
        5.117620856626879,
        5.117641837785997,
        5.117662818945114,
        5.117683800104231,
        5.117705258107874,
        5.117726239266991,
        5.117747220426108,
        5.117768201585226,
        5.117789659588868,
        5.117810640747986,
        5.117831621907103,
        5.11785260306622,
        5.1178740610698625,
        5.11789504222898,
        5.117916023388098,
        5.117937004547215,
        5.117957985706332,
        5.117979443709975,
        5.118000424869092,
        5.118021406028209,
        5.118042387187327,
        5.118063368346444,
        5.118084826350087,
        5.118105807509204,
        5.118126788668321,
        5.118147769827439,
        5.118168750986555,
        5.118190208990199,
        5.1182111901493155,
        5.118232171308433,
        5.118253152467551,
        5.1182741336266675,
        5.118295114785785,
        5.1183165727894275,
        5.118337553948545,
        5.118358535107662,
        5.11837951626678,
        5.118400497425896,
        5.118421478585014,
        5.118442459744132,
        5.118463917747774,
        5.118484898906892,
        5.118505880066008,
        5.118526861225126,
        5.118547842384243,
        5.11856882354336,
        5.118589804702478,
        5.118610785861595,
        5.118632243865238,
        5.118653225024355,
        5.1186742061834725,
        5.118695187342589,
        5.118716168501707,
        5.1187371496608245,
        5.118758130819941,
        5.118779111979059,
        5.118800093138176,
        5.118821074297293,
        5.118842055456411,
        5.118863036615528,
        5.118884494619171,
        5.118905475778288,
        5.118926456937405,
        5.118947438096522,
        5.11896841925564,
        5.118989400414757,
        5.119010381573874,
        5.119031362732992,
        5.1190523438921085,
        5.119073325051226,
        5.119094306210344,
        5.1191152873694605,
        5.119136268528578,
        5.119157249687695,
        5.119178230846813,
        5.11919921200593,
        5.119220193165047,
        5.119241174324165,
        5.119262155483281,
        5.119283136642399,
        5.119304117801517,
        5.119325098960633,
        5.119346080119751,
        5.119367061278868,
        5.119388042437985,
        5.119409023597103,
        5.11943000475622,
        5.119450985915337,
        5.119471967074454,
        5.119492948233572,
        5.1195139293926895,
        5.119534910551806,
        5.119555891710924,
        5.1195768728700415,
        5.119597854029158,
        5.119618835188276,
        5.119639816347393,
        5.119660320661985,
        5.119681301821102,
        5.119702282980219,
        5.119723264139337,
        5.119744245298454,
        5.119765226457571,
        5.119786207616689,
        5.119807188775805,
        5.119828169934923,
        5.119849151094041,
        5.1198701322531575,
        5.119891113412275,
        5.119911617726867,
        5.119932598885984,
        5.1199535800451015,
        5.119974561204219,
        5.119995542363336,
        5.1200165235224535,
        5.12003750468157,
        5.120058485840688,
        5.12007899015528,
        5.120099971314397,
        5.120120952473514,
        5.120141933632632,
        5.120162914791749,
        5.120183895950866,
        5.120204877109984,
        5.120225381424575,
        5.120246362583693,
        5.12026734374281,
        5.120288324901927,
        5.120309306061045,
        5.1203302872201615,
        5.1203507915347535,
        5.120371772693871,
        5.120392753852989,
        5.1204137350121055,
        5.120434716171223,
        5.120455220485815,
        5.120476201644932,
        5.1204971828040495,
        5.120518163963166,
        5.120539145122284,
        5.120559649436876,
        5.1205806305959936,
        5.12060161175511,
        5.120622592914228,
        5.12064309722882,
        5.120664078387937,
        5.120685059547054,
        5.120706040706171,
        5.120726545020763,
        5.120747526179881,
        5.120768507338998,
        5.120789488498115,
        5.120809992812707,
        5.120830973971825,
        5.1208519551309415,
        5.120872936290059,
        5.120893440604651,
        5.120914421763768,
        5.1209354029228855,
        5.120956384082003,
        5.120976888396594,
        5.120997869555712,
        5.1210188507148295,
        5.1210393550294215,
        5.121060336188538,
        5.121081317347656,
        5.121101821662248,
        5.121122802821365,
        5.121143783980482,
        5.121164765139599,
        5.121185269454191,
        5.121206250613309,
        5.121227231772426,
        5.121247736087017,
        5.121268717246135,
        5.121289698405253,
        5.121310202719845,
        5.1213311838789615,
        5.1213516881935535,
        5.121372669352671,
        5.121393650511788,
        5.12141415482638,
        5.1214351359854975,
        5.121456117144614,
        5.121476621459206,
        5.121497602618324,
        5.121518583777441,
        5.121539088092033,
        5.12156006925115,
        5.121580573565742,
        5.121601554724859,
        5.121622535883977,
        5.121643040198569,
        5.121664021357685,
        5.121684525672277,
        5.121705506831395,
        5.121726487990513,
        5.121746992305104,
        5.121767973464221,
        5.121788477778813,
        5.121809458937931,
        5.121829963252522,
        5.12185094441164,
        5.121871448726232,
        5.121892429885349,
        5.121913411044466,
        5.121933915359058,
        5.121954896518176,
        5.121975400832768,
        5.121996381991885,
        5.122016886306477,
        5.122037867465594,
        5.122058371780186,
        5.122079352939303,
        5.122099857253895,
        5.122120838413013,
        5.122141342727604,
        5.122162323886721,
        5.122182828201313,
        5.122203809360431,
        5.122224313675022,
        5.12224529483414,
        5.122265799148732,
        5.122286780307849,
        5.1223072846224404,
        5.122328265781558,
        5.12234877009615,
        5.122369751255268,
        5.122390255569859,
        5.1224112367289765,
        5.1224317410435685,
        5.122452722202686,
        5.122473226517277,
        5.122494207676395,
        5.122514711990987,
        5.122535216305579,
        5.122556197464696,
        5.122576701779288,
        5.122597682938405,
        5.122618187252997,
        5.122639168412114,
        5.122659672726706,
        5.122680177041298,
        5.122701158200416,
        5.122721662515008,
        5.122742643674124,
        5.122763147988716,
        5.122783652303308,
        5.122804633462426,
        5.122825137777018,
        5.122846118936135,
        5.122866623250727,
        5.122887127565319,
        5.1229081087244355,
        5.1229286130390275,
        5.122949594198145,
        5.122970098512737,
        5.122990602827329,
        5.123011583986446,
        5.123032088301038,
        5.12305259261563,
        5.1230735737747475,
        5.1230940780893395,
        5.1231145824039315,
        5.123135563563048,
        5.12315606787764,
        5.123176572192232,
        5.12319755335135,
        5.123218057665941,
        5.123238561980533,
        5.123259543139651,
        5.123280047454243,
        5.123300551768835,
        5.123321532927951,
        5.123342037242543,
        5.123362541557135,
        5.123383045871727,
        5.123404027030845,
        5.123424531345436,
        5.123445035660028,
        5.123466016819146,
        5.123486521133738,
        5.12350702544833,
        5.123527529762922,
        5.1235485109220384,
        5.12356901523663,
        5.123589519551222,
        5.123610023865814,
        5.123631005024931,
        5.123651509339523,
        5.123672013654115,
        5.123692517968707,
        5.123713499127825,
        5.123734003442417,
        5.123754507757008,
        5.1237750120716,
        5.1237959932307175,
        5.1238164975453095,
        5.1238370018599015,
        5.1238575061744935,
        5.1238780104890855,
        5.123898991648202,
        5.123919495962794,
        5.123940000277386,
        5.123960504591978,
        5.12398100890657,
        5.124001990065687,
        5.124022494380279,
        5.124042998694871,
        5.124063503009463,
        5.124084007324055,
        5.124104511638647,
        5.124125492797764,
        5.124145997112356,
        5.124166501426948,
        5.12418700574154,
        5.124207510056132,
        5.124228014370724,
        5.1242489955298405,
        5.1242694998444325,
        5.1242900041590245,
        5.1243105084736165,
        5.1243310127882085,
        5.1243515171028005,
        5.1243720214173925,
        5.1243925257319844,
        5.124413506891101,
        5.124434011205693,
        5.124454515520285,
        5.124475019834877,
        5.124495524149469,
        5.124516028464061,
        5.124536532778652,
        5.124557037093244,
        5.124577541407836,
        5.124598045722428,
        5.12461855003702,
        5.124639531196138,
        5.12466003551073,
        5.124680539825321,
        5.124701044139913,
        5.124721548454505,
        5.124742052769097,
        5.124762557083689,
        5.124783061398281,
        5.124803565712873,
        5.124824070027465,
        5.124844574342056,
        5.124865078656648,
        5.12488558297124,
        5.124906087285832,
        5.124926591600424,
        5.124947095915016,
        5.124967600229608,
        5.1249881045442,
        5.125008608858792,
        5.125029113173383,
        5.125049617487975,
        5.125070121802567,
        5.125090626117159,
        5.125111130431751,
        5.125131634746343,
        5.125152139060935,
        5.125172643375527,
        5.125193147690119,
        5.12521365200471,
        5.125234156319302,
        5.125254660633894,
        5.125275164948486,
        5.125295669263078,
        5.12531617357767,
        5.125336677892262,
        5.125357182206854,
        5.125377686521446,
        5.125398190836037,
        5.125418218306105,
        5.125438722620696,
        5.125459226935288,
        5.12547973124988,
        5.125500235564472,
        5.125520739879064,
        5.125541244193656,
        5.125561748508248,
        5.12558225282284,
        5.125602757137432,
        5.125623261452023,
        5.12564328892209,
        5.125663793236682,
        5.125684297551273,
        5.125704801865865,
        5.125725306180457,
        5.125745810495049,
        5.125766314809641,
        5.125786819124233,
        5.125806846594299,
        5.125827350908891,
        5.125847855223483,
        5.125868359538075,
        5.125888863852667,
        5.1259093681672585,
        5.1259298724818505,
        5.125949899951917,
        5.125970404266509,
        5.125990908581101,
        5.126011412895693,
        5.126031917210285,
        5.126052421524877,
        5.126072448994943,
        5.126092953309535,
        5.126113457624127,
        5.126133961938719,
        5.126154466253311,
        5.1261744937233775,
        5.1261949980379695,
        5.1262155023525615,
        5.126236006667153,
        5.12625603413722,
        5.126276538451812,
        5.126297042766403,
        5.126317547080995,
        5.126338051395587,
        5.126358078865653,
        5.126378583180245,
        5.126399087494837,
        5.126419591809429,
        5.126439619279496,
        5.126460123594088,
        5.12648062790868,
        5.126501132223272,
        5.126521159693338,
        5.12654166400793,
        5.126562168322522,
        5.126582195792588,
        5.12660270010718,
        5.126623204421772,
        5.126643708736364,
        5.126663736206431,
        5.126684240521023,
        5.126704744835615,
        5.126724772305681,
        5.126745276620273,
        5.126765780934864,
        5.126785808404931,
        5.126806312719523,
        5.1268268170341145,
        5.126846844504182,
        5.126867348818773,
        5.126887853133365,
        5.126907880603432,
        5.126928384918023,
        5.126948889232615,
        5.1269689167026815,
        5.1269894210172735,
        5.1270099253318655,
        5.127029952801932,
        5.127050457116524,
        5.127070961431116,
        5.127090988901182,
        5.127111493215774,
        5.1271315206858405,
        5.1271520250004325,
        5.1271725293150245,
        5.127192556785091,
        5.127213061099683,
        5.127233088569749,
        5.127253592884341,
        5.127274097198933,
        5.127294124669,
        5.127314628983592,
        5.127334656453658,
        5.12735516076825,
        5.127375665082842,
        5.127395692552908,
        5.1274161968675,
        5.127436224337567,
        5.127456728652159,
        5.127476756122225,
        5.127497260436817,
        5.127517287906884,
        5.127537792221475,
        5.127558296536067,
        5.127578324006134,
        5.127598828320726,
        5.127618855790793,
        5.127639360105384,
        5.127659387575451,
        5.127679891890042,
        5.12769991936011,
        5.127720423674701,
        5.127740451144768,
        5.12776095545936,
        5.127780982929426,
        5.127801487244018,
        5.127821514714085,
        5.127842019028677,
        5.127862046498743,
        5.127882550813335,
        5.127902578283401,
        5.127923082597993,
        5.12794311006806,
        5.127963614382652,
        5.127983641852718,
        5.128003669322784,
        5.128024173637376,
        5.128044201107443,
        5.128064705422035,
        5.128084732892101,
        5.128105237206693,
        5.128125264676759,
        5.128145768991351,
        5.128165796461418,
        5.128185823931485,
        5.128206328246076,
        5.128226355716143,
        5.1282468600307345,
        5.128266887500802,
        5.128286914970868,
        5.12830741928546,
        5.128327446755526,
        5.128347951070118,
        5.128367978540185,
        5.128388006010251,
        5.128408510324843,
        5.1284285377949095,
        5.1284490421095015,
        5.128469069579568,
        5.128489097049634,
        5.128509601364226,
        5.1285296288342925,
        5.12854965630436,
        5.128570160618951,
        5.128590188089018,
        5.1286102155590845,
        5.1286307198736765,
        5.128650747343743,
        5.128670774813809,
        5.128691279128401,
        5.1287113065984675,
        5.128731334068534,
        5.128751838383126,
        5.128771865853192,
        5.1287918933232595,
        5.128812397637851,
        5.128832425107918,
        5.128852452577984,
        5.1288724800480505,
        5.1288929843626425,
        5.128913011832709,
        5.128933039302775,
        5.128953543617367,
        5.128973571087434,
        5.1289935985575,
        5.129013626027567,
        5.129034130342158,
        5.1290541578122255,
        5.129074185282292,
        5.129094212752358,
        5.12911471706695,
        5.129134744537017,
        5.129154772007083,
        5.129174799477149,
        5.129195303791741,
        5.129215331261808,
        5.129235358731875,
        5.129255386201941,
        5.129275890516533,
        5.1292959179866,
        5.129315945456666,
        5.129335972926732,
        5.129356000396799,
        5.129376504711391,
        5.129396532181457,
        5.129416559651523,
        5.129436587121591,
        5.129456614591657,
        5.129476642061723,
        5.129497146376315,
        5.129517173846382,
        5.129537201316448,
        5.129557228786514,
        5.129577256256582,
        5.129597283726648,
        5.12961778804124,
        5.129637815511306,
        5.129657842981373,
        5.129677870451439,
        5.129697897921505,
        5.129717925391572,
        5.129737952861639,
        5.12975845717623,
        5.129778484646297,
        5.129798512116364,
        5.12981853958643,
        5.129838567056496,
        5.129858594526563,
        5.129878621996629,
        5.129898649466696,
        5.129918676936763,
        5.129939181251355,
        5.129959208721421,
        5.129979236191487,
        5.129999263661554,
        5.13001929113162,
        5.130039318601687,
        5.130059346071754,
        5.13007937354182,
        5.130099401011886,
        5.130119428481953,
        5.130139455952019,
        5.130159483422086,
        5.130319703182618,
        5.130339730652684,
        5.130360234967276,
        5.130380262437343,
        5.130400289907409,
        5.130420317377475,
        5.130439868003017,
        5.130459895473083,
        5.13047992294315,
        5.130499950413216,
        5.130519977883283,
        5.13054000535335,
        5.130560032823416,
        5.130580060293482,
        5.130600087763549,
        5.130620115233615,
        5.130640142703682,
        5.130660170173749,
        5.130680197643815,
        5.130700225113881,
        5.130720252583948,
        5.130740280054014,
        5.130760307524081,
        5.130780334994148,
        5.130800362464214,
        5.13082038993428,
        5.130840417404347,
        5.130859968029888,
        5.130879995499955,
        5.130900022970021,
        5.130920050440087,
        5.130940077910154,
        5.130960105380221,
        5.130980132850287,
        5.131000160320354,
        5.13102018779042,
        5.131040215260486,
        5.131059765886028,
        5.131079793356094,
        5.131099820826161,
        5.131119848296227,
        5.131139875766293,
        5.131159903236361,
        5.131179930706427,
        5.131199481331968,
        5.131219508802034,
        5.1312395362721,
        5.131259563742168,
        5.131279591212234,
        5.1312996186823,
        5.131319169307841,
        5.131339196777908,
        5.131359224247975,
        5.131379251718041,
        5.131399279188107,
        5.131418829813649,
        5.131438857283715,
        5.131458884753782,
        5.131478912223848,
        5.131498939693914,
        5.131518490319456,
        5.131538517789522,
        5.131558545259589,
        5.131578572729655,
        5.131598600199721,
        5.131618150825263,
        5.131638178295329,
        5.131658205765396,
        5.131678233235462,
        5.131697783861004,
        5.13171781133107,
        5.131737838801136,
        5.131757866271203,
        5.131777416896744,
        5.131797444366811,
        5.131817471836877,
        5.131837022462419,
        5.131857049932485,
        5.131877077402551,
        5.131897104872618,
        5.131916655498158,
        5.131936682968226,
        5.131956710438292,
        5.131976261063833,
        5.131996288533899,
        5.132016316003966,
        5.132035866629507,
        5.132055894099573,
        5.13207592156964,
        5.132095472195181,
        5.132115499665248,
        5.132135527135314,
        5.1321550777608556,
        5.132175105230922,
        5.132195132700988,
        5.132214683326529,
        5.132234710796596,
        5.132254738266663,
        5.132274288892203,
        5.13229431636227,
        5.132314343832337,
        5.132333894457878,
        5.132353921927944,
        5.1323734725534855,
        5.132393500023552,
        5.132413527493618,
        5.132433078119159,
        5.132453105589226,
        5.132472656214767,
        5.132492683684833,
        5.1325127111549,
        5.132532261780441,
        5.1325522892505075,
        5.132571839876048,
        5.1325918673461155,
        5.132611894816182,
        5.132631445441723,
        5.132651472911789,
        5.1326710235373305,
        5.132691051007397,
        5.132710601632938,
        5.132730629103005,
        5.1327501797285455,
        5.132770207198612,
        5.1327897578241535,
        5.13280978529422,
        5.132829812764286,
        5.132849363389827,
        5.132869390859894,
        5.132888941485435,
        5.132908968955501,
        5.132928519581043,
        5.132948547051109,
        5.13296809767665,
        5.132988125146716,
        5.133007675772258,
        5.133027703242324,
        5.133047253867866,
        5.133067281337932,
        5.133086831963473,
        5.133106382589014,
        5.133126410059081,
        5.1331459606846215,
        5.133165988154688,
        5.133185538780229,
        5.133205566250296,
        5.1332251168758365,
        5.133245144345904,
        5.133264694971444,
        5.133284722441511,
        5.133304273067052,
        5.133323823692593,
        5.1333438511626595,
        5.133363401788201,
        5.133383429258267,
        5.133402979883808,
        5.13342253050935,
        5.133442557979416,
        5.133462108604957,
        5.133482136075024,
        5.133501686700565,
        5.133521237326106,
        5.133541264796173,
        5.133560815421713,
        5.13358084289178,
        5.133600393517321,
        5.133619944142862,
        5.133639971612928,
        5.13365952223847,
        5.133679072864011,
        5.133699100334077,
        5.133718650959619,
        5.133738201585159,
        5.133758229055227,
        5.133777779680767,
        5.133797330306308,
        5.133817357776375,
        5.133836908401916,
        5.133856459027457,
        5.133876486497524,
        5.133896037123065,
        5.133915587748606,
        5.133935615218673,
        5.133955165844213,
        5.133974716469755,
        5.133994743939821,
        5.134014294565362,
        5.1340338451909036,
        5.134053395816444,
        5.134073423286511,
        5.134092973912052,
        5.134112524537593,
        5.1341320751631345,
        5.134152102633201,
        5.134171653258742,
        5.134191203884283,
        5.1342112313543495,
        5.13423078197989,
        5.134250332605432,
        5.1342698832309726,
        5.134289433856514,
        5.1343094613265805,
        5.134329011952121,
        5.134348562577663,
        5.1343681132032035,
        5.13438814067327,
        5.1344076912988115,
        5.134427241924352,
        5.134446792549894,
        5.1344663431754345,
        5.134486370645501,
        5.134505921271042,
        5.134525471896583,
        5.134545022522125,
        5.1345645731476655,
        5.134584123773207,
        5.134604151243273,
        5.134623701868814,
        5.134643252494356,
        5.134662803119896,
        5.134682353745438,
        5.134701904370979,
        5.134721931841045,
        5.134741482466587,
        5.134761033092127,
        5.134780583717669,
        5.13480013434321,
        5.13481968496875,
        5.134839235594292,
        5.134858786219833,
        5.134878813689899,
        5.134898364315441,
        5.134917914940981,
        5.134937465566523,
        5.134957016192064,
        5.134976566817605,
        5.134996117443146,
        5.135015668068688,
        5.135035218694228,
        5.13505476931977,
        5.135074796789836,
        5.135094347415377,
        5.135113898040919,
        5.135133448666459,
        5.135152999292001,
        5.135172549917542,
        5.135192100543082,
        5.135211651168624,
        5.135231201794165,
        5.135250752419706,
        5.135270303045247,
        5.1352898536707885,
        5.135309404296329,
        5.135328954921871,
        5.1353485055474115,
        5.135368056172952,
        5.135387606798494,
        5.1354071574240345,
        5.135426708049576,
        5.135446258675117,
        5.135465809300658,
        5.135485359926199,
        5.135504910551741,
        5.1355244611772815,
        5.135544011802823,
        5.135563562428364,
        5.1355831130539045,
        5.135602663679446,
        5.135622214304987,
        5.135641764930528,
        5.135661315556069,
        5.135680866181611,
        5.135700416807151,
        5.135719967432693,
        5.135739518058234,
        5.135759068683774,
        5.13577814246479,
        5.135797693090332,
        5.135817243715873,
        5.135836794341414,
        5.135856344966955,
        5.135875895592496,
        5.135895446218037,
        5.135914996843578,
        5.13593454746912,
        5.13595409809466,
        5.135973648720202,
        5.135992722501217,
        5.136012273126759,
        5.136031823752299,
        5.136051374377841,
        5.136070925003382,
        5.136090475628923,
        5.136110026254464,
        5.13612910003548,
        5.1361486506610206,
        5.136168201286562,
        5.136187751912103,
        5.1362073025376445,
        5.136226853163185,
        5.136246403788727,
        5.136265477569742,
        5.136285028195283,
        5.136304578820824,
        5.136324129446366,
        5.1363436800719064,
        5.136362753852922,
        5.136382304478463,
        5.136401855104005,
        5.136421405729545,
        5.136440956355087,
        5.136460030136102,
        5.136479580761644,
        5.136499131387184,
        5.136518682012726,
        5.136538232638267,
        5.136557306419283,
        5.136576857044823,
        5.136596407670365,
        5.136615958295906,
        5.136635032076922,
        5.136654582702462,
        5.136674133328004,
        5.136693683953545,
        5.136712757734561,
        5.136732308360101,
        5.136751858985643,
        5.136770932766659,
        5.1367904833922,
        5.136810034017741,
        5.136829584643282,
        5.143595054769556,
        5.15109963391019,
        5.151122045602883,
        5.151144457295577,
        5.151166868988271,
        5.151189757525489,
        5.151212169218183,
        5.151234580910876,
        5.15125699260357,
        5.1512798811407885,
        5.151302292833482,
        5.151324704526176,
        5.151347116218869,
        5.151370004756088,
        5.151392416448782,
        5.1514148281414744,
        5.151437239834168,
        5.151459651526862,
        5.15148254006408,
        5.151504951756774,
        5.151527363449468,
        5.151549775142161,
        5.15157266367938,
        5.151595075372073,
        5.151617487064767,
        5.15163989875746,
        5.1516623104501535,
        5.151684722142847,
        5.151707610680066,
        5.151730022372759,
        5.151752434065453,
        5.151774845758147,
        5.1517972574508395,
        5.151820145988059,
        5.1518425576807525,
        5.151864969373445,
        5.151887381066139,
        5.151909792758833,
        5.151932204451526,
        5.151955092988745,
        5.1519775046814384,
        5.151999916374132,
        5.152022328066826,
        5.152044739759519,
        5.152067151452212,
        5.152089563144906,
        5.152112451682124,
        5.152134863374818,
        5.152157275067512,
        5.152179686760205,
        5.152202098452898,
        5.152224510145592,
        5.152246921838286,
        5.152269333530979,
        5.152292222068198,
        5.152314633760891,
        5.152337045453585,
        5.152359457146278,
        5.1523818688389715,
        5.152404280531665,
        5.152426692224359,
        5.152449103917052,
        5.152471515609745,
        5.152493927302439,
        5.1525168158396575,
        5.152539227532351,
        5.152561639225045,
        5.1525840509177385,
        5.152606462610431,
        5.152628874303125,
        5.152651285995819,
        5.152673697688512,
        5.152696109381205,
        5.152718521073899,
        5.1527409327665925,
        5.152763344459286,
        5.15278575615198,
        5.152808167844673,
        5.152830579537366,
        5.15285299123006,
        5.1528758797672785,
        5.152898291459972,
        5.152920703152666,
        5.1529431148453595,
        5.152965526538052,
        5.152987938230746,
        5.15301034992344,
        5.153032761616133,
        5.153055173308826,
        5.15307758500152,
        5.1530999966942135,
        5.153122408386907,
        5.1531448200796,
        5.153167231772294,
        5.153189643464987,
        5.153212055157681,
        5.153234466850374,
        5.1532568785430675,
        5.153279290235761,
        5.153301701928455,
        5.153324113621148,
        5.153346525313841,
        5.153368937006535,
        5.153391348699229,
        5.1534137603919214,
        5.153436172084615,
        5.153458583777309,
        5.1534809954700025,
        5.153503407162696,
        5.153525818855389,
        5.153547753703557,
        5.153570165396251,
        5.153592577088944,
        5.153614988781638,
        5.153637400474331,
        5.1536598121670245,
        5.153682223859718,
        5.153704635552412,
        5.153727047245105,
        5.153749458937798,
        5.153771870630492,
        5.153794282323186,
        5.1538166940158785,
        5.153839105708572,
        5.153861517401266,
        5.153883452249434,
        5.153905863942128,
        5.153928275634821,
        5.153950687327514,
        5.153973099020208,
        5.153995510712901,
        5.154017922405595,
        5.154040334098288,
        5.154062745790982,
        5.154085157483675,
        5.154107092331843,
        5.154129504024537,
        5.15415191571723,
        5.154174327409923,
        5.154196739102617,
        5.154219150795311,
        5.154241562488004,
        5.154263974180697,
        5.154285909028865,
        5.154308320721559,
        5.154330732414253,
        5.154353144106946,
        5.154375555799639,
        5.154397967492333,
        5.1544203791850265,
        5.1544423140331945,
        5.154464725725888,
        5.154487137418581,
        5.154509549111275,
        5.154531960803968,
        5.154554372496662,
        5.15457630734483,
        5.154598719037523,
        5.1546211307302165,
        5.15464354242291,
        5.154665954115604,
        5.154687888963772,
        5.154710300656466,
        5.154732712349158,
        5.154755124041852,
        5.154777535734546,
        5.1547999474272395,
        5.1548218822754075,
        5.1548442939681,
        5.154866705660794,
        5.154889117353488,
        5.154911052201656,
        5.154933463894349,
        5.154955875587042,
        5.154978287279736,
        5.1550006989724295,
        5.1550226338205976,
        5.155045045513291,
        5.155067457205985,
        5.155089868898678,
        5.155111803746846,
        5.155134215439539,
        5.155156627132233,
        5.155179038824927,
        5.155200973673095,
        5.155223385365788,
        5.155245797058481,
        5.155268208751175,
        5.155290143599343,
        5.155312555292037,
        5.1553349669847295,
        5.155356901832898,
        5.155379313525591,
        5.155401725218285,
        5.155424136910979,
        5.155446071759147,
        5.15546848345184,
        5.155490895144533,
        5.155512829992701,
        5.155535241685395,
        5.1555576533780885,
        5.155580065070782,
        5.15560199991895,
        5.155624411611643,
        5.155646823304337,
        5.155668758152505,
        5.155691169845198,
        5.155713581537892,
        5.15573551638606,
        5.155757928078754,
        5.155780339771447,
        5.155802274619615,
        5.155824686312308,
        5.155847098005002,
        5.15586903285317,
        5.155891444545864,
        5.1559138562385565,
        5.155935791086725,
        5.155958202779418,
        5.155980614472112,
        5.15600254932028,
        5.156024961012974,
        5.156046895861142,
        5.156069307553835,
        5.156091719246528,
        5.156113654094696,
        5.15613606578739,
        5.1561584774800835,
        5.1561804123282515,
        5.156202824020945,
        5.156224758869113,
        5.156247170561807,
        5.1562695822545,
        5.156291517102668,
        5.156313928795361,
        5.1563358636435295,
        5.156358275336223,
        5.156380687028917,
        5.156402621877085,
        5.1564250335697785,
        5.156446968417947,
        5.156469380110639,
        5.156491791803333,
        5.156513726651501,
        5.156536138344195,
        5.156558073192363,
        5.1565804848850565,
        5.1566024197332245,
        5.156624831425917,
        5.156646766274086,
        5.156669177966779,
        5.156691589659473,
        5.156713524507641,
        5.156735936200334,
        5.1567578710485025,
        5.156780282741196,
        5.156802217589364,
        5.156824629282057,
        5.156846564130225,
        5.156868975822919,
        5.156890910671087,
        5.15691332236378,
        5.1569352572119485,
        5.156957668904642,
        5.15697960375281,
        5.157002015445504,
        5.157023950293672,
        5.157046361986365,
        5.157068296834533,
        5.157090708527226,
        5.157112643375394,
        5.157135055068088,
        5.157156989916256,
        5.15717940160895,
        5.157201336457118,
        5.1572237481498115,
        5.15724568299798,
        5.157268094690672,
        5.15729002953884,
        5.157312441231534,
        5.157334376079702,
        5.157356787772396,
        5.157378722620564,
        5.1574011343132575,
        5.157423069161426,
        5.157445004009594,
        5.157467415702287,
        5.157489350550455,
        5.157511762243148,
        5.157533697091317,
        5.15755610878401,
        5.157578043632178,
        5.157599978480346,
        5.15762239017304,
        5.157644325021208,
        5.157666736713901,
        5.157688671562069,
        5.157711083254763,
        5.157733018102931,
        5.157754952951099,
        5.157777364643793,
        5.157799299491961,
        5.157821711184654,
        5.157843646032822,
        5.15786558088099,
        5.157887992573683,
        5.157909927421851,
        5.157931862270019,
        5.157954273962713,
        5.157976208810881,
        5.157998620503575,
        5.158020555351743,
        5.158042490199911,
        5.158064901892605,
        5.158086836740773,
        5.158108771588941,
        5.158131183281634,
        5.158153118129802,
        5.15817505297797,
        5.158197464670663,
        5.158219399518831,
        5.158241811211525,
        5.158263746059693,
        5.158285680907861,
        5.158307615756029,
        5.158330027448723,
        5.158351962296891,
        5.158373897145059,
        5.1583963088377525,
        5.1584182436859205,
        5.1584401785340885,
        5.158462590226782,
        5.15848452507495,
        5.158506459923118,
        5.158528871615812,
        5.15855080646398,
        5.158572741312148,
        5.158594676160316,
        5.158617087853009,
        5.158639022701178,
        5.158660957549346,
        5.158683369242039,
        5.158705304090207,
        5.158727238938375,
        5.158749173786543,
        5.158771585479236,
        5.1587935203274045,
        5.1588154551755725,
        5.1588373900237405,
        5.158859801716434,
        5.158881736564602,
        5.15890367141277,
        5.158925606260938,
        5.158948017953632,
        5.1589699528018,
        5.158991887649968,
        5.159013822498136,
        5.15903623419083,
        5.159058169038998,
        5.159080103887166,
        5.159102038735334,
        5.159124450428028,
        5.159146385276196,
        5.159168320124364,
        5.159190254972532,
        5.1592121898207,
        5.159234601513393,
        5.1592565363615615,
        5.1592784712097295,
        5.1593004060578975,
        5.159322340906066,
        5.159344752598759,
        5.159366687446927,
        5.159388622295095,
        5.159410557143263,
        5.159432491991431,
        5.159454426839599,
        5.159476838532293,
        5.159498773380461,
        5.159520708228629,
        5.159542643076797,
        5.159564577924965,
        5.159586512773133,
        5.159608924465827,
        5.159630859313995,
        5.159652794162163,
        5.159674729010331,
        5.159696663858499,
        5.159718598706667,
        5.159740533554835,
        5.159762468403003,
        5.159784880095697,
        5.159806814943865,
        5.159828749792033,
        5.159850684640201,
        5.159872619488369,
        5.159894554336537,
        5.159916489184705,
        5.159938424032873,
        5.159960358881041,
        5.159982770573735,
        5.160004705421903,
        5.160026640270071,
        5.160048575118239,
        5.160070509966407,
        5.160092444814575,
        5.160114379662743,
        5.160136314510911,
        5.160158249359079,
        5.160180184207247,
        5.160202119055415,
        5.160224053903583,
        5.160245988751751,
        5.160268400444445,
        5.160290335292613,
        5.160312270140781,
        5.160334204988949,
        5.160356139837117,
        5.160378074685285,
        5.160400009533453,
        5.160421944381621,
        5.160443879229789,
        5.160465814077957,
        5.160487748926125,
        5.160509683774293,
        5.1605316186224615,
        5.1605535534706295,
        5.160575488318798,
        5.1605974231669665,
        5.1606193580151345,
        5.1606412928633025,
        5.160663227711471,
        5.160685162559639,
        5.160707097407807,
        5.160729032255975,
        5.160750967104143,
        5.160772901952311,
        5.160794836800479,
        5.160816771648647,
        5.160838706496815,
        5.160860641344983,
        5.160882576193151,
        5.160904511041319,
        5.160926445889487,
        5.160948380737655,
        5.160970315585823,
        5.160992250433991,
        5.161014185282159,
        5.161035643285802,
        5.1610575781339705,
        5.1610795129821385,
        5.1611014478303066,
        5.161123382678475,
        5.161145317526643,
        5.161167252374811,
        5.161189187222979,
        5.161211122071147,
        5.161233056919315,
        5.161254991767483,
        5.161276926615651,
        5.161298861463819,
        5.161320319467461,
        5.16134225431563,
        5.161364189163798,
        5.161386124011966,
        5.161408058860134,
        5.161429993708302,
        5.16145192855647,
        5.161473863404638,
        5.1614957982528065,
        5.161517256256449,
        5.161539191104617,
        5.161561125952785,
        5.161583060800953,
        5.161604995649121,
        5.161626930497289,
        5.161648865345457,
        5.161670800193625,
        5.161692258197268,
        5.161714193045436,
        5.1617361278936045,
        5.1617580627417725,
        5.1617799975899405,
        5.161801932438109,
        5.161823390441751,
        5.161845325289919,
        5.161867260138087,
        5.161889194986255,
        5.161911129834423,
        5.161933064682591,
        5.1619545226862344,
        5.1619764575344025,
        5.1619983923825705,
        5.162020327230739,
        5.162042262078907,
        5.162063720082549,
        5.162085654930717,
        5.162107589778885,
        5.162129524627053,
        5.162151459475221,
        5.162172917478864,
        5.1621948523270325,
        5.1622167871752005,
        5.1622387220233685,
        5.162260180027011,
        5.162282114875179,
        5.162304049723347,
        5.162325984571515,
        5.162347442575158,
        5.162369377423326,
        5.162391312271494,
        5.162413247119662,
        5.162434705123305,
        5.162456639971473,
        5.162478574819641,
        5.162500509667809,
        5.162521967671452,
        5.16254390251962,
        5.162565837367788,
        5.162587772215956,
        5.162609230219599,
        5.162631165067767,
        5.162653099915935,
        5.162674557919577,
        5.162696492767745,
        5.162718427615914,
        5.1627398856195565,
        5.162761820467725,
        5.162783755315893,
        5.162805690164061,
        5.162827148167703,
        5.162849083015871,
        5.162871017864039,
        5.162892475867682,
        5.16291441071585,
        5.1629363455640185,
        5.162957803567661,
        5.162979738415829,
        5.163001673263997,
        5.16302313126764,
        5.163045066115808,
        5.163067000963976,
        5.163088458967619,
        5.163110393815787,
        5.163131851819429,
        5.163153786667597,
        5.163175721515765,
        5.1631971795194085,
        5.1632191143675765,
        5.163241049215745,
        5.163262507219387,
        5.163284442067555,
        5.163305900071197,
        5.163327834919365,
        5.163349769767534,
        5.163371227771177,
        5.163393162619345,
        5.163415097467513,
        5.163436555471155,
        5.163458490319323,
        5.1634799483229665,
        5.163501883171135,
        5.163523341174777,
        5.163545276022945,
        5.163567210871113,
        5.163588668874755,
        5.1636106037229235,
        5.163632061726567,
        5.163653996574735,
        5.163675454578377,
        5.163697389426545,
        5.163719324274713,
        5.1637407822783565,
        5.163762717126525,
        5.163784175130167,
        5.163806109978335,
        5.163827567981977,
        5.163849502830145,
        5.163870960833789,
        5.163892895681957,
        5.163914353685599,
        5.163936288533767,
        5.16395774653741,
        5.163979681385578,
        5.164001139389221,
        5.164023074237389,
        5.164044532241031,
        5.164066467089199,
        5.164087925092842,
        5.16410985994101,
        5.164131317944653,
        5.164153252792821,
        5.1641747107964635,
        5.1641966456446315,
        5.164218103648275,
        5.164240038496443,
        5.164261496500085,
        5.164283431348253,
        5.164304889351896,
        5.164326824200064,
        5.164348282203707,
        5.164370217051875,
        5.164391675055517,
        5.16441313305916,
        5.164435067907328,
        5.164456525910971,
        5.164478460759139,
        5.164499918762782,
        5.16452185361095,
        5.164543311614592,
        5.16456524646276,
        5.164586704466403,
        5.164608162470046,
        5.164630097318214,
        5.164651555321856,
        5.164673490170025,
        5.1646949481736675,
        5.16471640617731,
        5.164738341025478,
        5.164759799029121,
        5.164781733877289,
        5.164803191880932,
        5.164824649884574,
        5.164846584732742,
        5.164868042736385,
        5.164889500740028,
        5.164911435588196,
        5.164932893591838,
        5.164954828440006,
        5.1649762864436495,
        5.164997744447292,
        5.16501967929546,
        5.165041137299102,
        5.165062595302746,
        5.165084530150914,
        5.165105988154556,
        5.165127446158198,
        5.1651493810063664,
        5.16517083901001,
        5.165192297013652,
        5.16521423186182,
        5.1652356898654626,
        5.165257147869106,
        5.165279082717274,
        5.165300540720916,
        5.165321998724559,
        5.165343933572727,
        5.16536539157637,
        5.165386849580012,
        5.165408307583655,
        5.165430242431823,
        5.165451700435466,
        5.1654731584391085,
        5.1654950932872765,
        5.165516551290919,
        5.165538009294562,
        5.165559467298205,
        5.165581402146373,
        5.165602860150015,
        5.165624318153658,
        5.165645776157301,
        5.165667711005469,
        5.165689169009111,
        5.165710627012754,
        5.165732085016397,
        5.165754019864565,
        5.165775477868207,
        5.1657969358718505,
        5.165818393875493,
        5.165840328723661,
        5.165861786727303,
        5.165883244730947,
        5.165904702734589,
        5.165926637582757,
        5.1659480955864,
        5.165969553590043,
        5.165991011593685,
        5.1660124695973275,
        5.166034404445496,
        5.166055862449139,
        5.166077320452781,
        5.166098778456424,
        5.166120236460067,
        5.166142171308235,
        5.166163629311877,
        5.16618508731552,
        5.166206545319163,
        5.166228003322805,
        5.166249461326448,
        5.166271396174617,
        5.166292854178259,
        5.1663143121819015,
        5.166335770185544,
        5.166357228189187,
        5.16637868619283,
        5.166400144196472,
        5.16642207904464,
        5.166443537048283,
        5.166464995051926,
        5.166486453055568,
        5.166507911059211,
        5.166529369062854,
        5.166550827066496,
        5.166572285070139,
        5.1665942199183075,
        5.16661567792195,
        5.166637135925592,
        5.1666585939292355,
        5.166680051932878,
        5.16670150993652,
        5.166722967940164,
        5.166744425943806,
        5.166765883947448,
        5.166787341951092,
        5.166808799954734,
        5.166830734802902,
        5.1668521928065445,
        5.166873650810188,
        5.16689510881383,
        5.166916566817473,
        5.166938024821116,
        5.166959482824758,
        5.166980940828401,
        5.167002398832044,
        5.167023856835686,
        5.167045314839329,
        5.167066772842972,
        5.167088230846614,
        5.167109688850257,
        5.1671311468539,
        5.1671526048575425,
        5.167174062861185,
        5.167195520864828,
        5.1672169788684705,
        5.167238436872113,
        5.167259894875756,
        5.167281352879399,
        5.167302810883041,
        5.167324268886683,
        5.167345726890327,
        5.167367184893969,
        5.1673886428976115,
        5.167410100901255,
        5.167431558904897,
        5.1674530169085395,
        5.167474474912183,
        5.167495932915825,
        5.167517390919468,
        5.167538848923111,
        5.167560306926753,
        5.167581764930396,
        5.167603222934039,
        5.167624680937681,
        5.167646138941324,
        5.167667596944967,
        5.167689054948609,
        5.167710512952252,
        5.167731970955895,
        5.167752952115012,
        5.167774410118655,
        5.1677958681222975,
        5.16781732612594,
        5.167838784129583,
        5.167860242133226,
        5.167881700136868,
        5.167903158140511,
        5.167924616144154,
        5.167946074147796,
        5.1679675321514384,
        5.167988513310556,
        5.1680099713141985,
        5.168031429317842,
        5.168052887321484,
        5.1680743453251266,
        5.16809580332877,
        5.168117261332412,
        5.168138719336055,
        5.168159700495172,
        5.168181158498815,
        5.168202616502458,
        5.1682240745061,
        5.168245532509743,
        5.168266990513386,
        5.168287971672503,
        5.168309429676145,
        5.168330887679788,
        5.168352345683431,
        5.168373803687073,
        5.1683952616907165,
        5.168416242849833,
        5.1684377008534765,
        5.168459158857119,
        5.168480616860761,
        5.168502074864405,
        5.168523056023521,
        5.168544514027165,
        5.168565972030807,
        5.168587430034449,
        5.168608888038093,
        5.1686298691972095,
        5.168651327200853,
        5.168672785204495,
        5.1686942432081375,
        5.16871570121178,
        5.168736682370898,
        5.16875814037454,
        5.168779598378183,
        5.168801056381826,
        5.168822037540943,
        5.168843495544586,
        5.168864953548228,
        5.168886411551871,
        5.168907392710988,
        5.168928850714631,
        5.168950308718274,
        5.168971766721916,
        5.168992747881034,
        5.169014205884676,
        5.169035663888319,
        5.169056645047436,
        5.169078103051079,
        5.169099561054722,
        5.169121019058364,
        5.169142000217482,
        5.169163458221124,
        5.169184916224767,
        5.169205897383884,
        5.169227355387527,
        5.16924881339117,
        5.169269794550287,
        5.169291252553929,
        5.1693127105575725,
        5.169333691716689,
        5.1693551497203325,
        5.169376607723975,
        5.1693975888830925,
        5.169419046886735,
        5.169440504890377,
        5.169461486049495,
        5.169482944053137,
        5.169504402056781,
        5.169525383215897,
        5.16954684121954,
        5.169568299223183,
        5.1695892803823,
        5.169610738385943,
        5.16963171954506,
        5.169653177548703,
        5.1696746355523455,
        5.169695616711463,
        5.1697170747151056,
        5.169738055874222,
        5.169759513877866,
        5.169780971881508,
        5.169801953040626,
        5.169823411044268,
        5.169844392203386,
        5.169865850207028,
        5.16988730821067,
        5.169908289369788,
        5.1699297473734305,
        5.169950728532548,
        5.1699721865361905,
        5.169993167695308,
        5.1700146256989505,
        5.170036083702593,
        5.170057064861711,
        5.170078522865353,
        5.170099504024471,
        5.170120962028113,
        5.170141943187231,
        5.170163401190873,
        5.170184382349991,
        5.170205840353633,
        5.170226821512751,
        5.170248279516393,
        5.170269260675511,
        5.170290718679153,
        5.170311699838271,
        5.170333157841913,
        5.170354139001031,
        5.170375597004673,
        5.17039657816379,
        5.170418036167433,
        5.17043901732655,
        5.170460475330193,
        5.17048145648931,
        5.170502914492953,
        5.17052389565207,
        5.170545353655713,
        5.17056633481483,
        5.1705877928184725,
        5.17060877397759,
        5.1706302319812325,
        5.17065121314035,
        5.1706726711439925,
        5.17069365230311,
        5.170714633462228,
        5.17073609146587,
        5.170757072624987,
        5.17077853062863,
        5.170799511787747,
        5.17082096979139,
        5.170841950950507,
        5.170862932109625,
        5.170884390113267,
        5.170905371272385,
        5.170926829276027,
        5.170947810435145,
        5.1709687915942615,
        5.170990249597905,
        5.1710112307570215,
        5.171032688760665,
        5.1710536699197815,
        5.171074651078899,
        5.171096109082542,
        5.171117090241659,
        5.171138071400776,
        5.171159529404419,
        5.171180510563536,
        5.171201968567179,
        5.171222949726296,
        5.171243930885414,
        5.171265388889056,
        5.171286370048174,
        5.1713073512072905,
        5.171328809210934,
        5.1713497903700505,
        5.171370771529168,
        5.1713922295328105,
        5.171413210691928,
        5.171434191851045,
        5.171455649854688,
        5.171476631013805,
        5.171497612172923,
        5.171519070176565,
        5.171540051335683,
        5.1715610324948,
        5.171582013653917,
        5.171603471657559,
        5.171624452816677,
        5.171645433975795,
        5.171666891979437,
        5.171687873138555,
        5.1717088542976715,
        5.171729835456789,
        5.1717512934604315,
        5.171772274619549,
        5.171793255778666,
        5.1718142369377835,
        5.171835694941426,
        5.171856676100544,
        5.17187765725966,
        5.171898638418778,
        5.17192009642242,
        5.171941077581538,
        5.171962058740656,
        5.171983039899772,
        5.172004497903416,
        5.172025479062532,
        5.17204646022165,
        5.172067441380767,
        5.172088422539884,
        5.172109880543527,
        5.1721308617026445,
        5.172151842861761,
        5.172172824020879,
        5.1721938051799965,
        5.172215263183639,
        5.1722362443427565,
        5.172257225501873,
        5.172278206660991,
        5.172299187820108,
        5.172320168979225,
        5.172341626982868,
        5.172362608141985,
        5.172383589301103,
        5.17240457046022,
        5.173559964745247,
        5.173580945904364,
        5.173601927063482,
        5.173622908222598,
        5.173853224128363,
        5.173874205287481,
        5.174020596556776,
        5.174041577715894,
        5.174062558875011,
        5.174083540034128,
        5.17410404434872,
        5.174125025507838,
        5.1742294544588985,
        5.174250435618016,
        5.174271416777133,
        5.1742923979362505,
        5.174438789205546,
        5.17452223699749,
        5.174542741312082,
        5.1746266659485505,
        5.1747306180550865,
        5.174751599214204,
        5.174772580373321,
        5.1747935615324385,
        5.1748140658470305,
        5.174835047006147,
        5.174856028165265,
        5.174876532479857,
        5.174897513638974,
        5.174918494798091,
        5.174939475957209,
        5.1749599802718,
        5.174980961430918,
        5.175001942590035,
        5.175022446904627,
        5.175043428063744,
        5.175064409222862,
        5.175084913537454,
        5.1751058946965705,
        5.175126875855688,
        5.17514738017028,
        5.175168361329397,
        5.1751893424885145,
        5.1752098468031065,
        5.175230827962223,
        5.175251809121341,
        5.175272313435933,
        5.1752932945950505,
        5.175314275754167,
        5.175334780068759,
        5.175355761227877,
        5.175376742386994,
        5.175397246701586,
        5.175418227860703,
        5.175438732175295,
        5.175459713334412,
        5.17548069449353,
        5.175501198808122,
        5.175522179967238,
        5.17554268428183,
        5.175563665440948,
        5.175584646600065,
        5.175605150914657,
        5.175626132073774,
        5.175646636388366,
        5.175667617547483,
        5.175688598706601,
        5.175709103021193,
        5.17573008418031,
        5.1757505884949015,
        5.175771569654019,
        5.175792073968611,
        5.175813055127729,
        5.17583355944232,
        5.175854540601438,
        5.17587504491603,
        5.175896026075147,
        5.175917007234264,
        5.175937511548856,
        5.175958492707974,
        5.175978997022565,
        5.175999978181682,
        5.176020482496274,
        5.176041463655392,
        5.176061967969983,
        5.176082949129101,
        5.176103453443693,
        5.17612443460281,
        5.1761449389174015,
        5.176165920076519,
        5.176186424391111,
        5.176207405550229,
        5.17622790986482,
        5.1762488910239375,
        5.1762693953385295,
        5.1762898996531215,
        5.176310880812238,
        5.17633138512683,
        5.176352366285948,
        5.17637287060054,
        5.176393851759657,
        5.176414356074249,
        5.176435337233366,
        5.176455841547958,
        5.17647634586255,
        5.176497327021667,
        5.176517831336259,
        5.176538812495377,
        5.176559316809969,
        5.176580297969085,
        5.176600802283677,
        5.176621306598269,
        5.176642287757387,
        5.176662792071979,
        5.176683773231096,
        5.176704277545688,
        5.17672478186028,
        5.176745763019397,
        5.1767662673339885,
        5.1767867716485805,
        5.176807752807698,
        5.17682825712229,
        5.176848761436882,
        5.176869742595999,
        5.176890246910591,
        5.1769112280697085,
        5.1769317323843005,
        5.1769522366988925,
        5.176973217858009,
        5.176993722172601,
        5.177014226487193,
        5.177035207646311,
        5.177055711960902,
        5.177076216275494,
        5.177097197434612,
        5.177117701749204,
        5.177138206063796,
        5.177158710378388,
        5.177179691537504,
        5.177200195852096,
        5.177220700166688,
        5.177241681325806,
        5.177262185640397,
        5.177282689954989,
        5.177303194269581,
        5.177324175428699,
        5.177344679743291,
        5.177365184057883,
        5.177385688372474,
        5.1774066695315915,
        5.1774271738461835,
        5.1774476781607754,
        5.177468182475367,
        5.177489163634484,
        5.177509667949076,
        5.177530172263668,
        5.17755067657826,
        5.177571657737378,
        5.177592162051969,
        5.177612666366561,
        5.177633170681153,
        5.177654151840271,
        5.1776746561548626,
        5.1776951604694545,
        5.1777156647840465,
        5.177736169098638,
        5.177757150257755,
        5.177777654572347,
        5.177798158886939,
        5.177818663201531,
        5.177839167516123,
        5.177859671830714,
        5.177880652989832,
        5.177901157304424,
        5.177921661619016,
        5.177942165933608,
        5.1779626702482,
        5.177983174562791,
        5.178003678877383,
        5.178024660036501,
        5.178045164351093,
        5.178065668665685,
        5.178086172980277,
        5.178106677294869,
        5.17812718160946,
        5.178147685924052,
        5.178168190238644,
        5.1781891713977615,
        5.1782096757123535,
        5.1782301800269455,
        5.178250684341537,
        5.178271188656129,
        5.178291692970721,
        5.178312197285313,
        5.1783327015999046,
        5.1783532059144965,
        5.1783737102290885,
        5.1783942145436805,
        5.178415195702797,
        5.178435700017389,
        5.178456204331981,
        5.178476708646573,
        5.178497212961165,
        5.178517717275757,
        5.178538221590349,
        5.17855872590494,
        5.178579230219532,
        5.178599734534124,
        5.178620238848716,
        5.178640743163308,
        5.1786612474779,
        5.178681751792492,
        5.178702256107084,
        5.178722760421676,
        5.1787432647362674,
        5.1787637690508594,
        5.178784273365451,
        5.178804777680043,
        5.178825281994635,
        5.178845786309227,
        5.178866290623819,
        5.178886794938411,
        5.178907299253003,
        5.1789278035675945,
        5.1789483078821865,
        5.1789688121967785,
        5.1789893165113705,
        5.1790098208259625,
        5.1790303251405545,
        5.1790508294551465,
        5.1790713337697385,
        5.17909183808433,
        5.179111865554397,
        5.179132369868989,
        5.17915287418358,
        5.179173378498172,
        5.179193882812764,
        5.179214387127356,
        5.179234891441948,
        5.17925539575654,
        5.179275900071132,
        5.179296404385724,
        5.179316908700316,
        5.179336936170382,
        5.179357440484974,
        5.179377944799565,
        5.179398449114157,
        5.179418953428749,
        5.179439457743341,
        5.179459962057933,
        5.179480466372525,
        5.179500493842592,
        5.179520998157184,
        5.179541502471776,
        5.179562006786368,
        5.17958251110096,
        5.179603015415552,
        5.179623042885618,
        5.17964354720021,
        5.179664051514801,
        5.179684555829393,
        5.179705060143985,
        5.179725564458577,
        5.1797455919286435,
        5.1797660962432355,
        5.1797866005578275,
        5.1798071048724195,
        5.1798276091870115,
        5.179847636657078,
        5.17986814097167,
        5.179888645286262,
        5.179909149600854,
        5.179929653915446,
        5.179949681385512,
        5.179970185700104,
        5.179990690014695,
        5.180011194329287,
        5.1800312217993545,
        5.180051726113946,
        5.180072230428538,
        5.18009273474313,
        5.180112762213196,
        5.180133266527788,
        5.18015377084238,
        5.180174275156972,
        5.180194302627038,
        5.18021480694163,
        5.180235311256222,
        5.180255338726289,
        5.180275843040881,
        5.180296347355473,
        5.180316851670065,
        5.180336879140131,
        5.180357383454723,
        5.180377887769315,
        5.180397915239381,
        5.180418419553973,
        5.180438923868565,
        5.180458951338632,
        5.180479455653224,
        5.180499959967816,
        5.180519987437882,
        5.180540491752474,
        5.180560996067066,
        5.180581023537132,
        5.180601527851724,
        5.1806220321663154,
        5.180642059636383,
        5.180662563950975,
        5.180682591421041,
        5.180703095735633,
        5.180723600050224,
        5.180743627520291,
        5.180764131834883,
        5.18078415930495,
        5.180804663619542,
        5.180825167934133,
        5.1808451954042,
        5.180865699718792,
        5.180885727188858,
        5.18090623150345,
        5.1809267358180415,
        5.180946763288109,
        5.180967267602701,
        5.180987295072767,
        5.181007799387359,
        5.1810278268574255,
        5.1810483311720175,
        5.1810688354866095,
        5.181088862956676,
        5.181109367271268,
        5.181129394741334,
        5.181149899055926,
        5.1811699265259925,
        5.1811904308405845,
        5.181210458310651,
        5.181230962625243,
        5.181250990095309,
        5.181271494409901,
        5.1812915218799676,
        5.1813120261945596,
        5.181332053664626,
        5.181352557979218,
        5.181372585449284,
        5.181393089763876,
        5.181413117233943,
        5.181433621548535,
        5.181453649018601,
        5.181474153333193,
        5.181494180803259,
        5.181514685117851,
        5.181534712587918,
        5.18155521690251,
        5.181575244372576,
        5.181595748687168,
        5.181615776157234,
        5.181635803627302,
        5.181656307941893,
        5.18167633541196,
        5.181696839726552,
        5.181716867196618,
        5.18173737151121,
        5.181757398981277,
        5.181777426451343,
        5.181797930765935,
        5.181817958236001,
        5.181838462550593,
        5.18185849002066,
        5.181878517490726,
        5.181899021805318,
        5.181919049275384,
        5.181939076745451,
        5.181959581060043,
        5.181979608530109,
        5.182000112844701,
        5.182020140314768,
        5.182040167784835,
        5.182060672099427,
        5.182080699569493,
        5.182100727039559,
        5.182121231354151,
        5.182141258824218,
        5.182161286294284,
        5.182181790608876,
        5.182201818078942,
        5.182221845549009,
        5.182242349863601,
        5.182262377333667,
        5.182282404803734,
        5.1823029091183255,
        5.182322936588393,
        5.182342964058459,
        5.182363468373051,
        5.182383495843117,
        5.182403523313184,
        5.18242355078325,
        5.182444055097842,
        5.1824640825679085,
        5.182484110037975,
        5.182504137508042,
        5.182524641822633,
        5.1825446692927,
        5.182564696762767,
        5.182584724232833,
        5.182605228547425,
        5.1826252560174915,
        5.182645283487558,
        5.182665310957624,
        5.182685815272216,
        5.1827058427422825,
        5.18272587021235,
        5.182745897682416,
        5.182766401997008,
        5.1827864294670745,
        5.182806456937141,
        5.182826484407207,
        5.1828465118772735,
        5.18286653934734,
        5.182887043661932,
        5.182907071131999,
        5.1829270986020655,
        5.182947126072132,
        5.182967153542198,
        5.18298765785679,
        5.1830076853268565,
        5.183027712796923,
        5.183047740266989,
        5.1830677677370565,
        5.183087795207123,
        5.183107822677189,
        5.183128326991781,
        5.1831483544618475,
        5.183168381931914,
        5.18318840940198,
        5.1832084368720475,
        5.183228464342114,
        5.18324849181218,
        5.1832685192822465,
        5.1832890235968385,
        5.183309051066905,
        5.183329078536971,
        5.183349106007038,
        5.183369133477105,
        5.183389160947171,
        5.1834091884172375,
        5.183429215887304,
        5.18344924335737,
        5.183469270827437,
        5.183489298297504,
        5.18350932576757,
        5.1835293532376365,
        5.1835498575522285,
        5.183569885022295,
        5.183589912492361,
        5.183609939962428,
        5.183629967432494,
        5.183649994902561,
        5.1836700223726275,
        5.183690049842694,
        5.18371007731276,
        5.183730104782827,
        5.183750132252893,
        5.18377015972296,
        5.1837901871930265,
        5.183810214663093,
        5.183830242133159,
        5.183850269603226,
        5.183870297073292,
        5.183890324543359,
        5.1839103520134255,
        5.183930379483492,
        5.183950406953558,
        5.183970434423625,
        5.183990461893692,
        5.184010489363758,
        5.1840305168338245,
        5.184050067459365,
        5.184070094929432,
        5.184090122399499,
        5.184110149869565,
        5.1841301773396316,
        5.184150204809698,
        5.184170232279764,
        5.184190259749831,
        5.184210287219898,
        5.184230314689964,
        5.1842503421600306,
        5.184270369630097,
        5.184290397100163,
        5.184309947725705,
        5.184329975195771,
        5.184350002665838,
        5.184370030135904,
        5.18439005760597,
        5.1844100850760375,
        5.184430112546104,
        5.18445014001617,
        5.184469690641711,
        5.184489718111778,
        5.1845097455818445,
        5.184529773051911,
        5.184549800521977,
        5.184569827992044,
        5.184589378617585,
        5.1846094060876515,
        5.184629433557718,
        5.184649461027784,
        5.184669488497851,
        5.184689515967918,
        5.1847090665934585,
        5.184729094063525,
        5.184749121533591,
        5.184769149003658,
        5.184789176473725,
        5.1848087270992655,
        5.184828754569332,
        5.184848782039398,
        5.1848688095094655,
        5.184888836979532,
        5.1849083876050726,
        5.184928415075139,
        5.184948442545206,
        5.1849684700152725,
        5.184988020640813,
        5.18500804811088,
        5.185028075580947,
        5.185048103051013,
        5.185067653676554,
        5.18508768114662,
        5.185107708616687,
        5.185127259242228,
        5.1851472867122945,
        5.185167314182361,
        5.185187341652427,
        5.185206892277969,
        5.185226919748035,
        5.1852469472181015,
        5.185266497843643,
        5.1852865253137095,
        5.185306552783776,
        5.1853261034093165,
        5.185346130879384,
        5.18536615834945,
        5.185385708974991,
        5.185405736445057,
        5.185425763915124,
        5.185445314540665,
        5.1854653420107315,
        5.185485369480798,
        5.1855049201063395,
        5.185524947576406,
        5.185544975046472,
        5.185564525672014,
        5.18558455314208,
        5.1856045806121465,
        5.185624131237687,
        5.185644158707754,
        5.185663709333295,
        5.1856837368033615,
        5.185703764273428,
        5.185723314898969,
        5.185743342369036,
        5.1857628929945765,
        5.185782920464644,
        5.18580294793471,
        5.185822498560251,
        5.185842526030317,
        5.185862076655859,
        5.185882104125925,
        5.185901654751466,
        5.185921682221533,
        5.185941232847074,
        5.18596126031714,
        5.1859812877872065,
        5.186000838412748,
        5.186020865882814,
        5.186040416508355,
        5.186060443978422,
        5.186079994603963,
        5.186100022074029,
        5.186119572699571,
        5.186139600169637,
        5.186159150795178,
        5.186179178265244,
        5.186198728890786,
        5.186218756360852,
        5.186238306986394,
        5.18625833445646,
        5.186277885082001,
        5.186297912552067,
        5.186317463177609,
        5.186337490647675,
        5.186357041273216,
        5.186376591898758,
        5.186396619368824,
        5.186416169994365,
        5.186436197464432,
        5.186455748089973,
        5.186475775560039,
        5.186495326185581,
        5.186515353655647,
        5.186534904281188,
        5.186554454906729,
        5.186574482376796,
        5.186594033002336,
        5.186614060472404,
        5.186633611097944,
        5.186653161723485,
        5.186673189193552,
        5.186692739819093,
        5.186712767289159,
        5.186732317914701,
        5.186751868540242,
        5.186771896010308,
        5.18679144663585,
        5.18681099726139,
        5.186831024731457,
        5.186850575356998,
        5.186870125982539,
        5.186890153452605,
        5.186909704078147,
        5.186929254703688,
        5.186949282173755,
        5.1869688327992955,
        5.186988383424836,
        5.1870084108949035,
        5.187027961520444,
        5.187047512145985,
        5.187067539616052,
        5.187087090241593,
        5.1871066408671345,
        5.187126668337201,
        5.1871462189627415,
        5.187165769588283,
        5.187185320213824,
        5.18720534768389,
        5.187224898309432,
        5.1872444489349725,
        5.187264476405039,
        5.1872840270305804,
        5.187303577656121,
        5.187323128281663,
        5.187343155751729,
        5.18736270637727,
        5.187382257002811,
        5.187401807628352,
        5.187421358253894,
        5.18744138572396,
        5.187460936349501,
        5.187480486975042,
        5.187500037600583,
        5.1875200650706494,
        5.187539615696191,
        5.187559166321732,
        5.187578716947273,
        5.187598267572814,
        5.18761829504288,
        5.187637845668422,
        5.187657396293963,
        5.187676946919504,
        5.187696497545045,
        5.187716048170587,
        5.187736075640653,
        5.187755626266194,
        5.187775176891735,
        5.187794727517276,
        5.187814278142817,
        5.187833828768358,
        5.187853379393899,
        5.187873406863966,
        5.187892957489507,
        5.187912508115048,
        5.187932058740589,
        5.18795160936613,
        5.187971159991672,
        5.187990710617212,
        5.188010261242754,
        5.188029811868295,
        5.188049839338361,
        5.1880693899639025,
        5.188088940589443,
        5.188108491214985,
        5.188128041840526,
        5.188147592466067,
        5.188167143091608,
        5.188186693717149,
        5.18820624434269,
        5.188225794968231,
        5.1882453455937725,
        5.188264896219313,
        5.188284446844855,
        5.1883039974703955,
        5.188323548095937,
        5.188343098721478,
        5.188362649347019,
        5.18838219997256,
        5.188401750598101,
        5.188421301223642,
        5.188440851849183,
        5.188460402474725,
        5.188479953100265,
        5.188499503725807,
        5.188519054351348,
        5.188538604976889,
        5.18855815560243,
        5.188577706227971,
        5.188597256853512,
        5.188616807479053,
        5.188636358104595,
        5.188655908730135,
        5.188675459355677,
        5.188695009981218,
        5.188714560606759,
        5.1887341112323,
        5.188753661857842,
        5.188773212483382,
        5.188792763108923,
        5.188812313734465,
        5.188831864360005,
        5.188851414985547,
        5.188870488766563,
        5.188890039392104,
        5.188909590017644,
        5.188929140643186,
        5.188948691268727,
        5.188968241894268,
        5.188987792519809,
        5.1890073431453505,
        5.189026893770891,
        5.189045967551907,
        5.189065518177448,
        5.1890850688029895,
        5.18910461942853,
        5.189124170054072,
        5.1891437206796125,
        5.189163271305154,
        5.189182345086169,
        5.189201895711711,
        5.1892214463372515,
        5.189240996962793,
        5.189260547588334,
        5.18927962136935,
        5.18929917199489,
        5.189318722620432,
        5.189338273245973,
        5.189357823871514,
        5.189376897652529,
        5.189396448278071,
        5.189415998903612,
        5.189435549529153,
        5.189455100154694,
        5.18947417393571,
        5.189493724561251,
        5.189513275186792,
        5.189532825812333,
        5.189551899593349,
        5.18957145021889,
        5.189591000844431,
        5.189610551469972,
        5.189629625250988,
        5.189649175876529,
        5.18966872650207,
        5.189688277127611,
        5.189707350908627,
        5.1897269015341685,
        5.189746452159709,
        5.189765525940725,
        5.189785076566266,
        5.1898046271918075,
        5.189824177817348,
        5.189843251598364,
        5.189862802223905,
        5.189882352849446,
        5.1899014266304615,
        5.189920977256003,
        5.196377452129823,
        5.203610229890983,
        5.203633118428201,
        5.203655530120895,
        5.2036784186581135,
        5.203701307195333,
        5.2037237188880265,
        5.203746607425245,
        5.203791907655157,
        5.203814796192376,
        5.20383720788507,
        5.204132374646288,
        5.204154786338981,
        5.2041776748762,
        5.2042000865688935,
        5.204222975106113,
        5.204245386798806,
        5.204268275336025,
        5.204291163873243,
        5.204313575565937,
        5.204336464103156,
        5.204358875795849,
        5.2043817643330685,
        5.204404176025762,
        5.204427064562981,
        5.204449476255674,
        5.204472364792893,
        5.2044947764855864,
        5.204517665022806,
        5.204540076715499,
        5.204562965252718,
        5.204585376945412,
        5.20460826548263,
        5.204630677175324,
        5.204653565712542,
        5.204675977405236,
        5.204698865942454,
        5.204721277635148,
        5.204744166172367,
        5.20476657786506,
        5.204789466402279,
        5.204811878094973,
        5.2048347666321915,
        5.204857178324885,
        5.204880066862104,
        5.204902478554797,
        5.204925367092017,
        5.204947778784709,
        5.204970667321929,
        5.204993079014622,
        5.205015967551841,
        5.2050383792445345,
        5.205061267781753,
        5.205083679474447,
        5.205106568011666,
        5.205128979704359,
        5.205151391397052,
        5.205174279934272,
        5.2051966916269645,
        5.205219580164184,
        5.2052419918568775,
        5.205264880394096,
        5.20528729208679,
        5.205309703779483,
        5.205332592316702,
        5.205355004009395,
        5.205377892546614,
        5.2054003042393076,
        5.205423192776527,
        5.20544560446922,
        5.205468016161913,
        5.205490904699133,
        5.2055133163918255,
        5.205536204929045,
        5.2055586166217385,
        5.205581028314431,
        5.205603916851651,
        5.205626328544344,
        5.205649217081563,
        5.205671628774256,
        5.20569404046695,
        5.2057169290041685,
        5.205739340696862,
        5.205761752389556,
        5.205784640926774,
        5.205807052619468,
        5.205829941156686,
        5.20585235284938,
        5.205874764542074,
        5.205897653079292,
        5.205920064771986,
        5.20594247646468,
        5.205965365001898,
        5.205987776694592,
        5.206010188387285,
        5.206033076924504,
        5.2060554886171975,
        5.206077900309891,
        5.20610078884711,
        5.206123200539803,
        5.206145612232497,
        5.206168500769715,
        5.206190912462409,
        5.206213324155103,
        5.206236212692321,
        5.206258624385015,
        5.2062810360777085,
        5.206303924614927,
        5.206326336307621,
        5.206348748000314,
        5.206371636537533,
        5.2063940482302264,
        5.20641645992292,
        5.206439348460139,
        5.206461760152832,
        5.206484171845526,
        5.20650658353822,
        5.206529472075438,
        5.206551883768132,
        5.206574295460825,
        5.206597183998044,
        5.2066195956907375,
        5.206642007383431,
        5.206664419076124,
        5.206687307613343,
        5.206709719306037,
        5.20673213099873,
        5.2067545426914235,
        5.206777431228643,
        5.206799842921336,
        5.206822254614029,
        5.206844666306723,
        5.206867554843941,
        5.206889966536635,
        5.206912378229329,
        5.206934789922022,
        5.206957678459241,
        5.2069800901519345,
        5.207002501844628,
        5.207024913537321,
        5.20704780207454,
        5.207070213767234,
        5.207092625459927,
        5.2071150371526205,
        5.207137448845314,
        5.207160337382533,
        5.207182749075226,
        5.20720516076792,
        5.207227572460614,
        5.207249984153306,
        5.207272872690526,
        5.207295284383219,
        5.207317696075912,
        5.207340107768606,
        5.2073625194613,
        5.207385407998518,
        5.207407819691212,
        5.207430231383905,
        5.207452643076599,
        5.207475054769292,
        5.2074974664619855,
        5.207520354999205,
        5.207542766691898,
        5.207565178384591,
        5.207587590077285,
        5.207610001769979,
        5.2076324134626715,
        5.207655301999891,
        5.2076777136925845,
        5.207700125385277,
        5.207722537077971,
        5.207744948770665,
        5.207767360463358,
        5.207789772156051,
        5.207812183848745,
        5.207835072385964,
        5.207857484078657,
        5.207879895771351,
        5.207902307464044,
        5.207924719156738,
        5.207947130849431,
        5.207969542542124,
        5.207991954234818,
        5.2080148427720365,
        5.20803725446473,
        5.208216548006278,
        5.2082389596989715,
        5.208261371391665,
        5.208284259928884,
        5.208306671621577,
        5.208329083314271,
        5.208351495006965,
        5.2083739066996575,
        5.208396318392351,
        5.208418730085045,
        5.2084411417777385,
        5.208463553470431,
        5.208485965163125,
        5.208508376855819,
        5.208530788548512,
        5.208553200241205,
        5.208575611933899,
        5.2085980236265925,
        5.208620435319286,
        5.208642847011979,
        5.208665258704673,
        5.208687670397366,
        5.20871008209006,
        5.208732493782754,
        5.2087549054754465,
        5.20877731716814,
        5.208799728860834,
        5.2088221405535275,
        5.20884455224622,
        5.208866963938914,
        5.208889375631608,
        5.208911787324301,
        5.208934199016994,
        5.208956610709688,
        5.2089790224023815,
        5.209001434095075,
        5.209023845787768,
        5.209046257480462,
        5.209068669173155,
        5.209091080865849,
        5.209113492558542,
        5.2091359042512355,
        5.209158315943929,
        5.209180727636623,
        5.209203139329316,
        5.209225551022009,
        5.209337609485477,
        5.2093600211781705,
        5.209382432870864,
        5.209404844563557,
        5.209427256256251,
        5.209449191104419,
        5.209471602797112,
        5.209494014489806,
        5.209516426182499,
        5.209538837875193,
        5.209561249567886,
        5.20958366126058,
        5.209606072953273,
        5.209628484645966,
        5.209784889650296,
        5.209807301342989,
        5.209829713035682,
        5.209852124728376,
        5.209874059576544,
        5.2098964712692375,
        5.209918882961931,
        5.209941294654624,
        5.209963706347318,
        5.209986118040011,
        5.210008529732705,
        5.210030464580873,
        5.210052876273566,
        5.2100752879662595,
        5.210097699658953,
        5.210120111351647,
        5.21014252304434,
        5.210164934737033,
        5.210186869585201,
        5.210209281277895,
        5.210231692970589,
        5.210254104663282,
        5.210276516355975,
        5.210298451204143,
        5.210320862896837,
        5.210343274589531,
        5.210365686282224,
        5.210388097974917,
        5.210410509667611,
        5.210432444515779,
        5.2104548562084725,
        5.210477267901166,
        5.210499679593859,
        5.210521614442028,
        5.210544026134721,
        5.210566437827414,
        5.210588849520108,
        5.210611261212802,
        5.21063319606097,
        5.2106556077536625,
        5.210678019446356,
        5.21070043113905,
        5.210744777679912,
        5.210767189372604,
        5.210811535913466,
        5.21083394760616,
        5.2108563592988535,
        5.213391503218105,
        5.2169528165560015,
        5.2169747514041696,
        5.217018621100506,
        5.217040079104149,
        5.217062013952317,
        5.217105883648653,
        5.217127818496821,
        5.217149753344989,
        5.217171688193157,
        5.2171931461967995,
        5.217215081044968,
        5.217237015893136,
        5.217258950741304,
        5.217280885589472,
        5.21730282043764,
        5.217324278441283,
        5.217346213289451,
        5.217368148137619,
        5.217390082985787,
        5.217412017833955,
        5.217433952682123,
        5.217455410685766,
        5.217477345533934,
        5.217499280382102,
        5.21752121523027,
        5.217543150078438,
        5.217564608082081,
        5.217586542930249,
        5.217608477778417,
        5.217630412626585,
        5.217652347474753,
        5.2176738054783955,
        5.217695740326564,
        5.217717675174732,
        5.2177396100229,
        5.217761068026543,
        5.217783002874711,
        5.217804937722879,
        5.217826872571047,
        5.217848807419215,
        5.2178702654228575,
        5.2178922002710255,
        5.2179141351191936,
        5.217935593122837,
        5.217957527971005,
        5.217979462819173,
        5.218001397667341,
        5.218022855670983,
        5.218044790519151,
        5.218066725367319,
        5.2180886602154875,
        5.21811011821913,
        5.218132053067298,
        5.218153987915467,
        5.218175445919109,
        5.218197380767277,
        5.218219315615445,
        5.218241250463613,
        5.218262708467256,
        5.218284643315424,
        5.218306578163592,
        5.218328036167235,
        5.218349971015403,
        5.218371905863571,
        5.2183933638672135,
        5.218415298715382,
        5.21843723356355,
        5.218458691567193,
        5.218480626415361,
        5.218502561263529,
        5.218524019267171,
        5.218545954115339,
        5.218567888963507,
        5.21858934696715,
        5.218611281815318,
        5.218632739818961,
        5.218654674667129,
        5.218676609515297,
        5.21869806751894,
        5.218720002367108,
        5.218741937215276,
        5.218763395218918,
        5.218785330067087,
        5.218806788070729,
        5.218828722918897,
        5.2188506577670655,
        5.218872115770708,
        5.218894050618876,
        5.218915508622519,
        5.218937443470687,
        5.218959378318855,
        5.218980836322498,
        5.219002771170666,
        5.219024229174308,
        5.219046164022476,
        5.219067622026119,
        5.219089556874287,
        5.2191114917224555,
        5.219132949726098,
        5.219154884574266,
        5.219176342577909,
        5.219198277426077,
        5.21921973542972,
        5.219241670277888,
        5.21926312828153,
        5.219285063129698,
        5.219306521133341,
        5.219328455981509,
        5.219349913985152,
        5.21937184883332,
        5.219393306836962,
        5.21941524168513,
        5.219437176533298,
        5.219458634536942,
        5.21948056938511,
        5.219502027388752,
        5.21952396223692,
        5.2195454202405624,
        5.219566878244206,
        5.219588813092374,
        5.219610271096016,
        5.219632205944184,
        5.2196536639478275,
        5.2196755987959955,
        5.219697056799638,
        5.219718991647806,
        5.219740449651448,
        5.219762384499616,
        5.21978384250326,
        5.219805777351428,
        5.21982723535507,
        5.219849170203238,
        5.2198706282068805,
        5.219892086210524,
        5.219914021058692,
        5.219935479062334,
        5.219957413910502,
        5.219978871914145,
        5.220000806762313,
        5.220022264765956,
        5.220043722769598,
        5.220065657617766,
        5.220087115621409,
        5.220109050469578,
        5.22013050847322,
        5.2201519664768625,
        5.220173901325031,
        5.220195359328674,
        5.220217294176842,
        5.220238752180484,
        5.220260210184127,
        5.220282145032295,
        5.220303603035938,
        5.22032506103958,
        5.220346995887748,
        5.220368453891391,
        5.220390388739559,
        5.220411846743202,
        5.2204333047468445,
        5.220584941305919,
        5.220606399309562,
        5.220627857313205,
        5.220649792161373,
        5.220671250165015,
        5.2206927081686585,
        5.220714166172301,
        5.220736101020469,
        5.220757559024111,
        5.220779017027755,
        5.220800951875923,
        5.220822409879565,
        5.220843867883207,
        5.2208658027313755,
        5.220887260735019,
        5.220908718738661,
        5.2209301767423035,
        5.220952111590472,
        5.220973569594115,
        5.220995027597757,
        5.2210164856014,
        5.221038420449568,
        5.221059878453211,
        5.221081336456853,
        5.221102794460496,
        5.221124729308664,
        5.221146187312307,
        5.2211676453159495,
        5.221189103319592,
        5.22121103816776,
        5.221232496171403,
        5.221253954175046,
        5.221275412178688,
        5.221296870182331,
        5.221318805030499,
        5.221340263034142,
        5.221361721037784,
        5.221383179041427,
        5.22140463704507,
        5.221426571893238,
        5.22144802989688,
        5.2214694879005235,
        5.221490945904166,
        5.221512403907808,
        5.2215338619114515,
        5.22155579675962,
        5.221577254763262,
        5.221598712766904,
        5.221620170770548,
        5.22164162877419,
        5.221663086777832,
        5.2216850216260005,
        5.221706479629644,
        5.221727937633286,
        5.2217493956369285,
        5.221770853640572,
        5.221792311644214,
        5.221813769647857,
        5.221835704496025,
        5.221857162499668,
        5.22187862050331,
        5.221900078506953,
        5.221921536510596,
        5.221942994514238,
        5.221964452517881,
        5.221985910521524,
        5.2220073685251664,
        5.222028826528809,
        5.222050761376977,
        5.22207221938062,
        5.2220936773842626,
        5.222115135387905,
        5.222136593391548,
        5.222158051395191,
        5.222179509398833,
        5.222200967402476,
        5.222222425406119,
        5.222243883409761,
        5.222265341413404,
        5.222286799417047,
        5.222308257420689,
        5.222329715424332,
        5.222351173427975,
        5.222372631431617,
        5.222394566279785,
        5.2224160242834285,
        5.222437482287071,
        5.222458940290713,
        5.222480398294357,
        5.222501856297999,
        5.222523314301641,
        5.222544772305285,
        5.222566230308927,
        5.2225876883125695,
        5.222609146316213,
        5.222630604319855,
        5.2226520623234975,
        5.22267352032714,
        5.222694978330783,
        5.222716436334426,
        5.222737894338068,
        5.222758875497186,
        5.222780333500828,
        5.222801791504471,
        5.222823249508114,
        5.222844707511756,
        5.222866165515399,
        5.222887623519042,
        5.222909081522684,
        5.2229305395263275,
        5.22295199752997,
        5.222973455533612,
        5.2229949135372555,
        5.223016371540898,
        5.22303782954454,
        5.223059287548184,
        5.223251932736442,
        5.223273390740085,
        5.223294848743727,
        5.223315829902845,
        5.223337287906487,
        5.22335874591013,
        5.223380203913773,
        5.223401661917415,
        5.223423119921058,
        5.223444577924701,
        5.223465559083818,
        5.223487017087461,
        5.223508475091103,
        5.2235299330947464,
        5.223551391098389,
        5.223572849102031,
        5.2235943071056745,
        5.223615288264791,
        5.223636746268434,
        5.223658204272077,
        5.223679662275719,
        5.223701120279362,
        5.223722101438479,
        5.223743559442122,
        5.223765017445765,
        5.223786475449407,
        5.22380793345305,
        5.2238289146121675,
        5.22385037261581,
        5.223871830619453,
        5.2238932886230955,
        5.223914746626738,
        5.223935727785856,
        5.223957185789498,
        5.22397864379314,
        5.224000101796784,
        5.2240210829559,
        5.224042540959544,
        5.224063998963186,
        5.2240854569668285,
        5.224106438125946,
        5.2241278961295885,
        5.224149354133232,
        5.224170812136874,
        5.224191793295992,
        5.224213251299634,
        5.224234709303277,
        5.224255690462394,
        5.224277148466037,
        5.224298606469679,
        5.224320064473322,
        5.224341045632439,
        5.224362503636082,
        5.224383961639725,
        5.224404942798842,
        5.224426400802485,
        5.224447858806127,
        5.224468839965245,
        5.224490297968887,
        5.22451175597253,
        5.224532737131647,
        5.22455419513529,
        5.224575653138933,
        5.224724428630855,
        5.224745886634498,
        5.224766867793615,
        5.224788325797258,
        5.2248097838009,
        5.224830764960018,
        5.22485222296366,
        5.2248736809673035,
        5.22489466212642,
        5.224916120130064,
        5.22493710128918,
        5.224958559292824,
        5.224980017296466,
        5.225000998455583,
        5.225022456459226,
        5.225043437618343,
        5.225064895621986,
        5.225085876781103,
        5.225107334784746,
        5.2251287927883885,
        5.225149773947506,
        5.2251712319511485,
        5.225192213110265,
        5.2252136711139086,
        5.225234652273025,
        5.225256110276669,
        5.225277091435785,
        5.225298549439429,
        5.225319530598545,
        5.225340988602189,
        5.225362446605831,
        5.225383427764949,
        5.225404885768591,
        5.225425866927708,
        5.225447324931351,
        5.225468306090468,
        5.225489764094111,
        5.225510745253228,
        5.225532203256871,
        5.225553184415988,
        5.225574642419631,
        5.225595623578748,
        5.225616604737866,
        5.225638062741508,
        5.225659043900626,
        5.225680501904268,
        5.225701483063386,
        5.225722941067028,
        5.225743922226146,
        5.225765380229788,
        5.225786361388905,
        5.225807819392548,
        5.225828800551665,
        5.2258497817107825,
        5.225871239714425,
        5.2258922208735425,
        5.225913678877185,
        5.225934660036303,
        5.225956118039945,
        5.225977099199063,
        5.225998080358179,
        5.226019538361823,
        5.226040519520939,
        5.226061977524583,
        5.226082958683699,
        5.226103939842817,
        5.2261253978464595,
        5.226146379005577,
        5.2261678370092195,
        5.226188818168337,
        5.226209799327454,
        5.226231257331097,
        5.226252238490214,
        5.226273219649332,
        5.226294677652974,
        5.226315658812092,
        5.226336639971208,
        5.226358097974852,
        5.226379079133968,
        5.226400537137612,
        5.226421518296728,
        5.226442499455846,
        5.226463480614963,
        5.226484938618606,
        5.226505919777723,
        5.2265269009368405,
        5.226548358940483,
        5.2265693400996005,
        5.226590321258718,
        5.2266117792623605,
        5.226632760421477,
        5.226653741580595,
        5.226675199584237,
        5.226696180743355,
        5.226717161902473,
        5.226738143061589,
        5.226759601065233,
        5.226780582224349,
        5.226801563383467,
        5.226822544542584,
        5.226844002546227,
        5.226864983705344,
        5.226885964864461,
        5.226906946023578,
        5.2269284040272215,
        5.226949385186338,
        5.226970366345456,
        5.2269913475045735,
        5.227012805508216,
        5.2270337866673335,
        5.22705476782645,
        5.227075748985568,
        5.22709720698921,
        5.227118188148328,
        5.227139169307445,
        5.227160150466562,
        5.227181131625679,
        5.227202589629322,
        5.227223570788439,
        5.227244551947557,
        5.227265533106674,
        5.227286514265791,
        5.227307495424909,
        5.227328953428551,
        5.227349934587669,
        5.227370915746786,
        5.227391896905903,
        5.227412878065021,
        5.227433859224138,
        5.227455317227781,
        5.227476298386898,
        5.227497279546015,
        5.227518260705132,
        5.22753924186425,
        5.227560223023367,
        5.227581204182484,
        5.227602185341602,
        5.227623643345244,
        5.227644624504362,
        5.2276656056634785,
        5.227686586822596,
        5.227707567981713,
        5.2277285491408305,
        5.227749530299948,
        5.227770511459065,
        5.2277914926181825,
        5.2278124737773,
        5.227833454936417,
        5.227854912940059,
        5.227875894099177,
        5.227896875258295,
        5.227917856417411,
        5.227938837576529,
        5.227959818735646,
        5.227980799894763,
        5.228001781053881,
        5.228022762212998,
        5.228043743372115,
        5.228064724531232,
        5.22808570569035,
        5.228106686849467,
        5.228127668008584,
        5.228148649167702,
        5.2281696303268195,
        5.228190611485936,
        5.228211592645054,
        5.228232573804171,
        5.228253554963288,
        5.228274536122406,
        5.228295517281523,
        5.22831649844064,
        5.228337479599757,
        5.228358460758875,
        5.228379441917992,
        5.228400423077109,
        5.228421404236227,
        5.2284423853953435,
        5.228463366554461,
        5.228484347713579,
        5.2285053288726955,
        5.228526310031813,
        5.22854729119093,
        5.2285682723500475,
        5.228589253509165,
        5.228610234668282,
        5.2286312158273995,
        5.228840550574047,
        5.228861054888639,
        5.228882036047756,
        5.228903017206873,
        5.228923998365991,
        5.2289449795251075,
        5.228965960684225,
        5.228986941843343,
        5.2290079230024595,
        5.2290284273170515,
        5.229049408476169,
        5.229070389635286,
        5.229091370794404,
        5.229112351953521,
        5.229133333112638,
        5.22915383742723,
        5.229174818586348,
        5.229195799745464,
        5.229216780904582,
        5.229237762063699,
        5.229258743222816,
        5.229279247537408,
        5.229300228696526,
        5.229321209855643,
        5.22934219101476,
        5.229363172173877,
        5.229383676488469,
        5.229404657647587,
        5.2294256388067035,
        5.229446619965821,
        5.229467124280413,
        5.229488105439531,
        5.2295090865986475,
        5.229530067757765,
        5.229550572072357,
        5.229571553231474,
        5.229592534390592,
        5.229613515549708,
        5.2296340198643,
        5.229655001023418,
        5.229675982182536,
        5.229696963341652,
        5.229717467656244,
        5.229738448815362,
        5.229759429974479,
        5.229779934289071,
        5.229800915448188,
        5.229821896607305,
        5.229842877766423,
        5.229863382081015,
        5.2298843632401315,
        5.229905344399249,
        5.229925848713841,
        5.229946829872959,
        5.2299678110320755,
        5.2299883153466675,
        5.230009296505785,
        5.230030277664902,
        5.230050781979494,
        5.2300717631386116,
        5.230092744297728,
        5.23011324861232,
        5.230134229771438,
        5.230155210930555,
        5.230175715245147,
        5.230196696404264,
        5.230217200718856,
        5.230238181877973,
        5.230259163037091,
        5.230279667351683,
        5.2303006485108,
        5.230321629669917,
        5.230342133984509,
        5.230363115143627,
        5.230383619458219,
        5.2304046006173355,
        5.2304251049319275,
        5.230446086091045,
        5.230467067250162,
        5.230487571564754,
        5.2305085527238715,
        5.2305290570384635,
        5.23055003819758,
        5.230570542512172,
        5.23059152367129,
        5.230612504830407,
        5.230633009144999,
        5.230653990304116,
        5.230674494618708,
        5.230695475777825,
        5.230715980092417,
        5.230736961251535,
        5.230757465566127,
        5.230778446725243,
        5.230798951039835,
        5.230819932198953,
        5.230840436513545,
        5.230861417672662,
        5.230881921987254,
        5.230902903146371,
        5.230923407460963,
        5.23094438862008,
        5.230964892934672,
        5.23098587409379,
        5.231006378408382,
        5.2310273595674985,
        5.2310478638820905,
        5.231068845041208,
        5.2310893493558,
        5.231110330514917,
        5.231130834829509,
        5.231151339144101,
        5.2311723203032185,
        5.23119282461781,
        5.231213805776927,
        5.231234310091519,
        5.231255291250637,
        5.231275795565228,
        5.23129629987982,
        5.231317281038938,
        5.23133778535353,
        5.231358766512646,
        5.231379270827238,
        5.23139977514183,
        5.231420756300948,
        5.23144126061554,
        5.231462241774657,
        5.231482746089249,
        5.231503250403841,
        5.231524231562958,
        5.23154473587755,
        5.2315652401921415,
        5.231586221351259,
        5.231606725665851,
        5.231627229980443,
        5.23164821113956,
        5.231668715454152,
        5.2316896966132695,
        5.2317102009278615,
        5.2317307052424535,
        5.2317512095570455,
        5.231772190716162,
        5.231792695030754,
        5.231813199345346,
        5.231834180504464,
        5.231854684819055,
        5.231875189133647,
        5.231896170292765,
        5.231916674607357,
        5.231937178921949,
        5.231958160081065,
        5.231978664395657,
        5.231999168710249,
        5.232019673024841,
        5.232040654183959,
        5.23206115849855,
        5.232081662813142,
        5.232102167127734,
        5.232123148286852,
        5.232143652601444,
        5.232164156916036,
        5.232184661230628,
        5.2322056423897445,
        5.2322261467043365,
        5.2322466510189285,
        5.2322671553335205,
        5.2322876596481125,
        5.232308640807229,
        5.232329145121821,
        5.232349649436413,
        5.232370153751005,
        5.232391134910123,
        5.232411639224714,
        5.232432143539306,
        5.232452647853898,
        5.23247315216849,
        5.232493656483082,
        5.2325146376422,
        5.232535141956791,
        5.232555646271383,
        5.232576150585975,
        5.232596654900567,
        5.232617159215159,
        5.232638140374276,
        5.232658644688868,
        5.232679149003459,
        5.232699653318051,
        5.232720157632643,
        5.232740661947235,
        5.232761166261827,
        5.232802651735536,
        5.232987190566863,
        5.233007694881455,
        5.233028676040573,
        5.233049180355165,
        5.233069684669757,
        5.233090188984349,
        5.23311069329894,
        5.233131197613532,
        5.233151701928124,
        5.233172206242716,
        5.233192710557308,
        5.2332132148719,
        5.233233719186492,
        5.233254223501084,
        5.233274727815676,
        5.233295232130267,
        5.233315736444859,
        5.233336240759451,
        5.233356745074043,
        5.233377249388635,
        5.233397753703227,
        5.233418258017819,
        5.233438762332411,
        5.233459266647003,
        5.233479770961594,
        5.233500275276186,
        5.233520779590778,
        5.23354128390537,
        5.233561788219962,
        5.233582292534554,
        5.233602796849146,
        5.233623301163738,
        5.233643805478329,
        5.233664309792921,
        5.233684337262988,
        5.2337458502067635,
        5.2337663545213555,
        5.2337868588359475,
        5.2338073631505395,
        5.2338688760943155,
        5.234032433766525,
        5.235159217380028,
        5.237637378378495,
        5.237657405848561,
        5.237677433318629,
        5.237697460788695,
        5.237717488258761,
        5.237737515728828,
        5.237757543198894,
        5.237797598139028,
        5.237817625609094,
        5.23783765307916,
        5.237858157393752,
        5.237878184863819,
        5.237898212333885,
        5.237918239803951,
        5.237938267274018,
        5.237958294744085,
        5.237978322214151,
        5.237998349684218,
        5.238018377154284,
        5.23803840462435,
        5.238058432094417,
        5.238078459564484,
        5.23809848703455,
        5.238118514504617,
        5.238138541974683,
        5.2381585694447494,
        5.238178120070291,
        5.238198147540357,
        5.238218175010424,
        5.23823820248049,
        5.2382582299505565,
        5.238278257420624,
        5.23829828489069,
        5.238318312360756,
        5.238338339830823,
        5.238358367300889,
        5.2383783947709555,
        5.238398422241023,
        5.238418449711089,
        5.238438477181155,
        5.238458027806696,
        5.238478055276763,
        5.23849808274683,
        5.238518110216896,
        5.238538137686962,
        5.238558165157029,
        5.238578192627095,
        5.238598220097162,
        5.238618247567229,
        5.238637798192769,
        5.238657825662836,
        5.238677853132903,
        5.238697880602969,
        5.238717908073036,
        5.238737935543102,
        5.238757486168643,
        5.23877751363871,
        5.238797541108776,
        5.238817568578843,
        5.238837596048909,
        5.238857623518975,
        5.238877174144517,
        5.238897201614583,
        5.23891722908465,
        5.238937256554716,
        5.2389572840247824,
        5.238976834650324,
        5.23899686212039,
        5.239016889590457,
        5.239036917060523,
        5.239056467686065,
        5.239076495156131,
        5.239096522626197,
        5.239116550096264,
        5.239136100721805,
        5.239156128191872,
        5.239176155661938,
        5.239196183132004,
        5.239215733757546,
        5.239235761227612,
        5.239255788697679,
        5.23927533932322,
        5.239295366793287,
        5.239315394263353,
        5.239335421733419,
        5.23935497235896,
        5.239374999829027,
        5.239395027299094,
        5.239414577924634,
        5.239434605394701,
        5.239454632864768,
        5.239474183490309,
        5.239494210960375,
        5.239514238430441,
        5.239533789055983,
        5.239553816526049,
        5.239573843996116,
        5.239593394621657,
        5.239613422091724,
        5.23963344956179,
        5.239653000187331,
        5.239673027657398,
        5.239692578282939,
        5.239712605753005,
        5.239732633223071,
        5.239752183848613
    ],
    "flux": [
        1.74914,
        1.69391,
        1.55256,
        1.5648,
        1.62038,
        1.67149,
        1.62518,
        1.47755,
        1.49617,
        1.61888,
        1.57746,
        1.58226,
        1.63257,
        1.62676,
        1.49408,
        1.49056,
        1.52823,
        1.52973,
        1.57608,
        1.62334,
        1.62443,
        1.47596,
        1.51173,
        1.80175,
        1.49096,
        1.28225,
        1.26801,
        1.64657,
        1.71941,
        1.57023,
        1.41608,
        1.37767,
        1.30565,
        1.37859,
        1.71311,
        1.78848,
        1.73957,
        1.66953,
        1.68099,
        1.78644,
        1.67842,
        1.81251,
        1.83804,
        1.67523,
        1.83823,
        1.83917,
        1.52866,
        1.67643,
        1.88336,
        1.85236,
        1.73622,
        1.63875,
        1.65635,
        1.6798,
        1.62824,
        1.63404,
        1.68186,
        1.78226,
        1.98303,
        1.72736,
        1.63249,
        1.75911,
        1.77595,
        1.75711,
        1.79979,
        1.83578,
        1.8661,
        1.77543,
        1.7188,
        1.57992,
        1.70081,
        1.81762,
        1.79583,
        1.74381,
        1.7937,
        1.96254,
        1.9436,
        1.83072,
        1.89144,
        1.85251,
        1.78621,
        1.84107,
        1.85727,
        1.7596,
        1.81187,
        1.78158,
        1.82894,
        1.70307,
        1.77708,
        1.93548,
        1.87396,
        1.68253,
        1.59797,
        1.63543,
        1.61865,
        1.75669,
        1.83055,
        1.83418,
        2.11736,
        2.11905,
        1.80139,
        1.40991,
        1.61653,
        1.77107,
        1.73613,
        1.88138,
        1.97314,
        1.70934,
        1.70043,
        1.65302,
        1.71873,
        1.6836,
        1.6305,
        1.42311,
        1.42244,
        1.6243,
        1.65719,
        1.62662,
        1.51194,
        1.41493,
        1.38214,
        1.52153,
        1.58942,
        1.57263,
        1.58745,
        1.63763,
        1.55993,
        1.58757,
        1.64633,
        1.62154,
        1.54589,
        1.58611,
        1.68663,
        1.60067,
        1.61231,
        1.62194,
        1.49685,
        1.59868,
        1.70086,
        1.6696,
        1.61179,
        1.58742,
        1.67702,
        1.62315,
        1.6736,
        1.65891,
        1.58752,
        1.7256,
        1.78123,
        1.68595,
        1.57632,
        1.48649,
        1.44311,
        1.54824,
        1.46578,
        1.1743,
        1.21166,
        1.81656,
        1.8909,
        1.81601,
        1.49029,
        1.4393,
        1.42798,
        1.31272,
        1.45696,
        1.66767,
        1.57455,
        1.59896,
        1.57539,
        1.60097,
        1.64929,
        1.59595,
        1.60383,
        1.65691,
        1.70731,
        1.63229,
        1.58832,
        1.47667,
        1.48279,
        1.59158,
        1.66299,
        1.59514,
        1.56462,
        1.64501,
        1.56057,
        1.55805,
        1.52864,
        1.55121,
        1.53553,
        1.62077,
        1.59098,
        1.43576,
        1.4962,
        1.56117,
        1.52815,
        1.49731,
        1.50612,
        1.55235,
        1.65438,
        1.64058,
        1.60949,
        1.693,
        1.783,
        1.6899,
        1.57891,
        1.51185,
        1.5774,
        1.55244,
        1.48975,
        1.57671,
        1.61114,
        1.71818,
        1.68576,
        1.49964,
        1.47574,
        1.45705,
        1.52138,
        1.77167,
        2.12348,
        1.43605,
        1.48932,
        1.64692,
        1.68101,
        1.71933,
        1.58029,
        1.72481,
        1.58896,
        1.68821,
        1.66607,
        1.6276,
        1.66921,
        1.70293,
        1.57795,
        1.51819,
        1.63198,
        1.66287,
        1.6158,
        1.60397,
        1.638,
        1.47692,
        1.6115,
        1.63683,
        1.43573,
        1.51305,
        1.64193,
        1.65076,
        1.6088,
        1.54919,
        1.64252,
        1.68329,
        1.69959,
        1.75288,
        1.81764,
        1.72364,
        1.66779,
        1.67758,
        1.62217,
        1.60102,
        1.6535,
        1.69828,
        1.71305,
        1.68935,
        1.70282,
        1.6768,
        1.64471,
        1.59739,
        1.68098,
        1.67337,
        1.70775,
        1.77489,
        1.68648,
        1.78463,
        1.70961,
        1.85042,
        1.55392,
        1.60588,
        1.89891,
        1.78883,
        1.76431,
        2.0042,
        2.1066,
        1.95177,
        1.96698,
        1.87468,
        1.54221,
        2.01242,
        1.75464,
        1.72384,
        1.52096,
        1.65662,
        1.60296,
        1.66918,
        1.82857,
        1.64778,
        1.60929,
        1.55741,
        1.65225,
        1.65942,
        1.63165,
        1.69207,
        1.62601,
        1.5494,
        1.55897,
        1.51476,
        1.68408,
        1.71547,
        1.64612,
        1.57049,
        1.62362,
        1.61889,
        1.54182,
        1.60118,
        1.68732,
        1.6999,
        1.62682,
        1.68481,
        1.63513,
        1.58549,
        1.53368,
        1.61988,
        1.60268,
        1.60556,
        1.66052,
        1.73082,
        1.61018,
        1.53187,
        1.58708,
        1.51264,
        1.55825,
        1.49491,
        1.53388,
        1.61898,
        1.67595,
        1.51947,
        1.49676,
        1.75351,
        1.70751,
        1.62037,
        1.5075,
        1.61478,
        1.75209,
        1.52276,
        1.72392,
        1.67096,
        1.4432,
        1.56801,
        1.79009,
        1.91449,
        1.63431,
        1.62745,
        1.74102,
        1.6448,
        1.4548,
        1.61427,
        1.8076,
        1.672,
        1.54415,
        1.59578,
        1.63778,
        1.66012,
        1.59603,
        1.48843,
        1.55276,
        1.46221,
        1.49482,
        1.63274,
        1.47643,
        1.57847,
        1.57622,
        1.57933,
        1.50427,
        1.56532,
        1.58422,
        1.50937,
        1.48583,
        1.53197,
        1.58772,
        1.6186,
        1.61122,
        1.58371,
        1.63021,
        1.64249,
        1.64999,
        1.60728,
        1.53978,
        1.57743,
        1.62409,
        1.53486,
        1.59883,
        1.56803,
        1.51887,
        1.60168,
        1.53032,
        1.49699,
        1.5507,
        1.59983,
        1.5621,
        1.72576,
        1.59195,
        1.56564,
        1.7011,
        1.68193,
        1.48218,
        1.57433,
        1.56873,
        1.63189,
        1.5349,
        1.60297,
        1.54307,
        1.85194,
        1.64828,
        1.30399,
        1.52155,
        1.42566,
        1.60189,
        2.02417,
        1.65998,
        1.61123,
        1.66192,
        1.58233,
        1.65401,
        1.8106,
        1.6797,
        1.44965,
        1.69443,
        1.67367,
        1.59397,
        1.56692,
        1.56241,
        1.63845,
        1.59877,
        1.67711,
        1.69288,
        1.68888,
        1.66503,
        1.63507,
        1.5941,
        1.6427,
        1.63126,
        1.6673,
        1.73425,
        1.60532,
        1.67124,
        1.63729,
        1.64193,
        1.62311,
        1.64357,
        1.59842,
        1.55244,
        1.58998,
        1.57844,
        1.54993,
        1.60466,
        1.61514,
        1.59401,
        1.62384,
        1.67351,
        1.59846,
        1.57037,
        1.46545,
        1.53422,
        1.57422,
        1.53823,
        1.67168,
        1.49543,
        1.59071,
        1.53902,
        1.55379,
        1.56817,
        1.73603,
        1.62998,
        1.50691,
        1.46577,
        1.66897,
        1.59324,
        1.49148,
        1.62273,
        1.63372,
        1.62912,
        1.74872,
        1.59322,
        1.73014,
        1.56359,
        1.78009,
        1.88014,
        1.55446,
        1.77704,
        2.47867,
        2.10345,
        2.2384,
        2.14429,
        2.23113,
        1.77148,
        1.95994,
        1.9241,
        1.70208,
        1.81849,
        1.95359,
        1.7664,
        1.69319,
        1.82181,
        1.85107,
        1.91986,
        1.53851,
        2.01741,
        2.06902,
        1.73753,
        1.82835,
        1.86065,
        1.91721,
        1.79554,
        1.66341,
        1.72694,
        1.71158,
        1.61771,
        1.6097,
        1.74815,
        1.68777,
        1.77878,
        1.72835,
        1.6853,
        1.69631,
        1.77485,
        1.81233,
        1.59966,
        1.47261,
        1.60117,
        1.92517,
        1.72294,
        1.65283,
        1.90964,
        1.93385,
        1.54786,
        1.65095,
        1.711,
        1.68375,
        1.67545,
        1.54047,
        1.5853,
        1.61936,
        1.55452,
        1.50004,
        1.61606,
        1.68015,
        1.62987,
        1.62911,
        1.56297,
        1.6558,
        1.70766,
        1.57123,
        1.56012,
        1.45793,
        1.48389,
        1.58712,
        1.59365,
        1.62665,
        1.5456,
        1.48245,
        1.63674,
        1.77787,
        1.61392,
        1.74317,
        1.63622,
        1.66434,
        1.71581,
        1.68974,
        1.56586,
        1.3405,
        1.54722,
        1.54716,
        1.64203,
        1.65357,
        1.57738,
        1.49724,
        1.63096,
        1.59749,
        1.59139,
        1.57106,
        1.52037,
        1.61411,
        1.46894,
        1.51163,
        1.59888,
        1.66485,
        1.63921,
        1.48842,
        1.45622,
        1.51229,
        1.59614,
        1.47159,
        1.41728,
        1.51889,
        1.62696,
        1.47692,
        1.50134,
        1.74304,
        1.88642,
        1.68695,
        1.5809,
        1.46118,
        1.44595,
        1.49168,
        1.5075,
        1.47972,
        1.50891,
        1.57456,
        1.56008,
        1.52592,
        1.56904,
        1.56645,
        1.56606,
        1.58802,
        1.58077,
        1.5545,
        1.71924,
        1.71194,
        1.62187,
        1.59426,
        1.55881,
        1.57766,
        1.54406,
        1.54783,
        1.577,
        1.62484,
        1.67476,
        1.53239,
        1.56307,
        1.53564,
        1.5476,
        1.41634,
        1.65783,
        1.77405,
        1.42486,
        1.72244,
        1.45195,
        1.87415,
        1.62183,
        1.53948,
        1.5302,
        1.58144,
        1.47791,
        2.02664,
        1.81881,
        1.64061,
        1.53891,
        1.6712,
        1.47904,
        1.49209,
        1.5501,
        1.5569,
        1.54615,
        1.63258,
        1.52909,
        1.60659,
        1.5524,
        1.95857,
        1.42216,
        1.38076,
        1.31018,
        1.46374,
        1.57769,
        1.73415,
        1.51472,
        1.53703,
        1.55384,
        1.59234,
        1.56609,
        1.54396,
        1.53835,
        1.60212,
        1.62519,
        1.53186,
        1.67456,
        1.55662,
        1.6226,
        1.64173,
        1.55496,
        1.57253,
        1.60707,
        1.6233,
        1.58214,
        1.57998,
        1.62522,
        1.60755,
        1.54876,
        1.6108,
        1.5667,
        1.55804,
        1.67177,
        1.53258,
        1.51246,
        1.60873,
        1.59746,
        1.65012,
        1.55459,
        1.46704,
        1.54005,
        1.55926,
        1.56116,
        1.66214,
        1.52722,
        1.65377,
        1.67322,
        1.68338,
        1.68366,
        1.48529,
        1.53853,
        1.55944,
        1.57823,
        1.80242,
        1.93209,
        1.34959,
        1.53241,
        2.01729,
        1.92647,
        1.90028,
        1.78893,
        1.80452,
        1.72944,
        1.73012,
        1.75451,
        1.70582,
        1.6489,
        1.65486,
        1.73939,
        1.7766,
        1.75798,
        1.68777,
        1.69544,
        1.79903,
        1.79259,
        1.78967,
        1.81271,
        1.8538,
        1.82441,
        1.70555,
        1.75163,
        1.83223,
        1.71834,
        1.69804,
        1.7285,
        1.74219,
        1.85012,
        1.88379,
        1.84567,
        1.76539,
        1.77097,
        1.93119,
        1.7843,
        1.50807,
        1.71582,
        1.742,
        1.72787,
        1.73472,
        1.70235,
        1.79963,
        1.61931,
        1.6983,
        1.74613,
        1.65445,
        1.69508,
        1.63378,
        1.64902,
        1.67079,
        1.67316,
        1.70815,
        1.69633,
        1.68309,
        1.58606,
        1.65739,
        1.65095,
        1.73305,
        1.63909,
        1.73176,
        1.51131,
        1.73648,
        1.74911,
        1.68757,
        1.373,
        1.53306,
        1.45882,
        1.36668,
        1.46993,
        1.43512,
        1.53798,
        1.77374,
        1.84795,
        1.61129,
        1.50717,
        1.67372,
        1.54582,
        1.6615,
        1.59926,
        1.57044,
        1.60606,
        1.57531,
        1.54121,
        1.53926,
        1.517,
        1.53713,
        1.61747,
        1.59104,
        1.56407,
        1.56989,
        1.53052,
        1.51947,
        1.59891,
        1.5605,
        1.61598,
        1.57833,
        1.53435,
        1.55538,
        1.59113,
        1.53566,
        1.52558,
        1.58618,
        1.6394,
        1.5808,
        1.53634,
        1.58619,
        1.55498,
        1.57235,
        1.60722,
        1.56579,
        1.52199,
        1.65232,
        1.53795,
        1.58713,
        1.63811,
        1.56698,
        1.58057,
        1.59527,
        1.57395,
        1.56423,
        1.51279,
        1.52849,
        1.54329,
        1.60334,
        1.67187,
        1.60015,
        1.59294,
        1.60949,
        1.62553,
        1.67104,
        1.57493,
        1.54366,
        1.51422,
        1.50141,
        1.5442,
        1.60464,
        1.47965,
        1.51963,
        1.48203,
        1.6164,
        1.78802,
        1.74814,
        1.69851,
        1.48746,
        1.44707,
        1.78109,
        1.86744,
        1.90408,
        1.66211,
        1.41798,
        1.49119,
        1.56446,
        1.59575,
        1.66426,
        1.63504,
        1.52433,
        1.62279,
        1.67134,
        1.66574,
        1.75924,
        1.59064,
        1.58619,
        1.56912,
        1.60012,
        1.68405,
        1.54336,
        1.522,
        1.58938,
        1.58122,
        1.55509,
        1.63162,
        1.57498,
        1.5626,
        1.64046,
        1.62632,
        1.59413,
        1.59246,
        1.56659,
        1.61991,
        1.5653,
        1.64262,
        1.59997,
        1.51519,
        1.53981,
        1.50531,
        1.53056,
        1.62357,
        1.61454,
        1.58814,
        1.52833,
        1.55581,
        1.55633,
        1.57487,
        1.51986,
        1.59563,
        1.62911,
        1.57058,
        1.54193,
        1.56246,
        1.52075,
        1.61063,
        1.68073,
        1.65938,
        1.63011,
        1.61893,
        1.51681,
        1.56756,
        1.57911,
        1.51038,
        1.54746,
        1.57122,
        1.63086,
        1.60699,
        1.61074,
        1.54256,
        1.61968,
        1.7278,
        1.65873,
        1.50313,
        1.49526,
        1.62038,
        1.68236,
        1.71495,
        1.55058,
        1.667,
        1.56111,
        1.43288,
        1.61066,
        1.58059,
        1.44378,
        1.85895,
        1.53399,
        1.90144,
        1.53508,
        1.37316,
        1.6958,
        1.65322,
        1.67202,
        1.58417,
        1.49289,
        1.64897,
        1.58747,
        1.53382,
        1.52158,
        1.64582,
        1.57998,
        1.6641,
        1.59252,
        1.67889,
        1.6038,
        1.70729,
        1.6113,
        1.58423,
        1.63657,
        1.57476,
        1.64715,
        1.563,
        1.63842,
        1.64643,
        1.71532,
        1.62017,
        1.5436,
        1.64625,
        1.76321,
        1.69059,
        1.7894,
        1.7558,
        1.50657,
        1.62246,
        1.73511,
        1.68309,
        1.6997,
        1.63691,
        1.64115,
        1.75205,
        1.69723,
        1.72699,
        1.71619,
        1.7943,
        1.77136,
        1.72365,
        1.80185,
        1.74176,
        1.68435,
        1.71831,
        1.74416,
        1.85108,
        1.77089,
        1.70078,
        1.70955,
        1.79434,
        1.78096,
        1.72595,
        1.8303,
        1.75195,
        1.88647,
        1.84515,
        1.75781,
        1.89636,
        1.78129,
        1.8884,
        1.92121,
        1.84877,
        1.86972,
        1.87263,
        1.54219,
        2.05939,
        2.4921,
        1.81266,
        1.77545,
        1.33752,
        1.65766,
        1.60063,
        1.32554,
        1.51188,
        1.70612,
        1.62408,
        1.80738,
        1.58098,
        1.46195,
        1.49659,
        1.65488,
        1.60565,
        1.57692,
        1.58387,
        1.61783,
        1.59944,
        1.58404,
        1.65313,
        1.54998,
        1.61923,
        1.56376,
        1.57171,
        1.62738,
        1.53709,
        1.54224,
        1.59938,
        1.53413,
        1.55941,
        1.64481,
        1.51016,
        1.57632,
        1.57545,
        1.53479,
        1.6101,
        1.56855,
        1.52448,
        1.50553,
        1.50584,
        1.45417,
        1.52099,
        1.57766,
        1.62993,
        1.6151,
        1.65777,
        1.63994,
        1.52595,
        1.49166,
        1.60788,
        1.58627,
        1.56575,
        1.46317,
        1.53237,
        1.55211,
        1.52099,
        1.59288,
        1.50234,
        1.6065,
        1.73408,
        1.85603,
        1.65576,
        1.60941,
        1.55131,
        1.59408,
        1.80051,
        1.44047,
        1.85308,
        1.54853,
        1.87862,
        1.53985,
        1.60728,
        1.67596,
        1.46628,
        1.61248,
        1.65454,
        1.55577,
        1.31854,
        1.33441,
        1.49413,
        1.62634,
        1.598,
        1.77984,
        1.29651,
        1.50772,
        1.67838,
        1.45362,
        1.51368,
        1.43805,
        1.83756,
        1.81153,
        1.7247,
        1.55159,
        1.56477,
        1.58549,
        1.58866,
        1.5115,
        1.58706,
        1.54085,
        1.58649,
        1.57514,
        1.56496,
        1.57953,
        1.49473,
        1.58514,
        1.56922,
        1.58219,
        1.55206,
        1.69586,
        1.58693,
        1.52253,
        1.60968,
        1.58467,
        1.58458,
        1.47504,
        1.5277,
        1.62649,
        1.59229,
        1.50278,
        1.52079,
        1.56822,
        1.45339,
        1.51866,
        1.59384,
        1.57968,
        1.6083,
        1.61004,
        1.63313,
        1.65474,
        1.57115,
        1.54188,
        1.46122,
        1.69065,
        1.52387,
        1.6111,
        1.53015,
        1.53883,
        1.66129,
        1.55164,
        1.47725,
        1.9778,
        2.78396,
        1.42353,
        1.47241,
        1.65271,
        1.4097,
        1.64257,
        1.54923,
        1.49811,
        1.50096,
        1.51671,
        1.48152,
        1.59057,
        1.5325,
        1.59224,
        1.52711,
        1.51349,
        1.60965,
        1.5521,
        1.49553,
        1.52847,
        1.55059,
        1.58942,
        1.55678,
        1.62239,
        1.45474,
        1.30337,
        1.77144,
        1.4543,
        1.90911,
        1.67901,
        2.03247,
        1.80911,
        1.76308,
        1.49932,
        1.37839,
        1.66528,
        1.6319,
        1.67996,
        1.59688,
        1.53071,
        1.74588,
        1.67692,
        1.57445,
        1.54337,
        1.51091,
        1.44938,
        1.61722,
        1.70546,
        1.6759,
        1.54051,
        1.63879,
        1.6628,
        1.61895,
        1.57395,
        1.63846,
        1.56546,
        1.54774,
        1.61802,
        1.41913,
        1.51489,
        1.52558,
        1.7352,
        1.63258,
        1.59323,
        1.538,
        1.62952,
        1.73318,
        1.69684,
        1.66163,
        1.63962,
        1.53078,
        1.54134,
        1.6772,
        1.75686,
        1.78408,
        1.29391,
        1.14683,
        1.54507,
        1.46425,
        1.68835,
        1.66399,
        1.79815,
        1.90701,
        1.70487,
        1.48786,
        1.56127,
        1.66169,
        1.63762,
        1.63653,
        1.82779,
        1.9204,
        1.76266,
        1.67705,
        1.61938,
        1.68266,
        1.66916,
        1.79873,
        1.89259,
        1.7235,
        1.71619,
        1.72316,
        1.75284,
        1.72767,
        1.64114,
        1.55326,
        1.79649,
        1.69273,
        1.67152,
        1.8739,
        1.97656,
        1.66392,
        1.65229,
        1.73559,
        1.97257,
        1.86692,
        1.59567,
        1.97706,
        2.1533,
        1.85776,
        2.00966,
        2.2776,
        3.10973,
        1.83315,
        1.35926,
        1.90977,
        1.52026,
        1.60255,
        1.71604,
        1.71791,
        1.73719,
        1.62457,
        1.54611,
        1.66758,
        1.61835,
        1.46269,
        1.53329,
        1.54726,
        1.43037,
        1.6285,
        1.48453,
        1.68788,
        1.56758,
        1.54636,
        1.66035,
        1.49464,
        1.59804,
        1.69963,
        1.53411,
        1.67648,
        1.52401,
        1.60998,
        1.42704,
        1.66424,
        1.54776,
        1.60977,
        1.38598,
        1.37201,
        1.68349,
        1.61547,
        1.80922,
        1.95185,
        1.69582,
        1.55119,
        1.68646,
        1.39681,
        1.50554,
        1.49158,
        1.63405,
        1.46211,
        1.58192,
        1.53151,
        1.56544,
        1.57766,
        1.52287,
        1.6942,
        1.55317,
        1.65384,
        1.51412,
        1.62901,
        1.58742,
        1.52363,
        1.62392,
        1.57751,
        1.51149,
        1.46632,
        1.52678,
        1.54065,
        1.59907,
        1.527,
        1.48725,
        1.57583,
        1.69007,
        1.59932,
        1.62401,
        1.60939,
        1.64473,
        1.68195,
        1.57533,
        1.61557,
        1.61313,
        1.53402,
        1.61457,
        1.57532,
        1.52356,
        1.52782,
        1.99695,
        1.60658,
        1.37001,
        1.55817,
        1.58965,
        null,
        1.30286,
        1.50963,
        1.56506,
        1.47949,
        1.48325,
        1.65645,
        1.56746,
        1.53683,
        1.59742,
        1.53247,
        1.52165,
        1.34766,
        1.40469,
        1.41233,
        1.53197,
        1.53864,
        1.42188,
        1.44315,
        1.52472,
        1.54752,
        1.46896,
        1.45897,
        1.50764,
        1.4997,
        1.49969,
        1.5198,
        1.56561,
        1.57254,
        1.56026,
        1.54453,
        1.57549,
        1.55322,
        1.5052,
        1.52782,
        1.51095,
        1.43768,
        1.47903,
        1.53606,
        1.4641,
        1.46559,
        1.45582,
        1.4972,
        1.49573,
        1.46866,
        1.45265,
        1.50378,
        1.54194,
        1.49041,
        1.44416,
        1.48202,
        1.52623,
        1.52092,
        1.49543,
        1.51889,
        1.4995,
        1.52092,
        1.55919,
        1.58849,
        1.57502,
        1.53913,
        1.5115,
        1.50199,
        1.53309,
        1.52334,
        1.54861,
        1.55553,
        1.55083,
        1.53993,
        1.56764,
        1.56152,
        1.53449,
        1.58167,
        1.63565,
        1.68822,
        1.68328,
        1.5757,
        1.56819,
        1.66006,
        1.67244,
        1.75815,
        1.73518,
        1.88045,
        1.87389,
        1.91711,
        1.66907,
        1.71919,
        1.64932,
        1.44075,
        1.49261,
        1.58381,
        1.65392,
        1.66812,
        1.62063,
        1.56267,
        1.62119,
        1.60265,
        1.52621,
        1.57241,
        1.61071,
        1.60321,
        1.53127,
        1.43978,
        1.47789,
        1.51125,
        1.45844,
        1.46203,
        1.46956,
        1.51217,
        1.51119,
        1.48391,
        1.47097,
        1.4003,
        1.46219,
        1.52827,
        1.50852,
        1.48253,
        1.50108,
        1.48684,
        1.52518,
        1.55293,
        1.51115,
        1.4916,
        1.49361,
        1.50105,
        1.49178,
        1.51649,
        1.51388,
        1.49567,
        1.49052,
        1.50724,
        1.51179,
        1.51053,
        1.54547,
        1.56745,
        1.55177,
        1.54843,
        1.50661,
        1.50247,
        1.49072,
        1.40934,
        1.48273,
        1.46554,
        1.49938,
        1.57461,
        1.5857,
        1.53657,
        1.53235,
        1.52753,
        1.54266,
        1.57285,
        1.54191,
        1.51758,
        1.51502,
        1.49137,
        1.51466,
        1.5796,
        1.5515,
        1.44355,
        1.45862,
        1.35199,
        1.28551,
        1.57047,
        2.73774,
        1.83304,
        1.62222,
        1.54401,
        1.48254,
        1.47923,
        1.63467,
        1.56225,
        1.56192,
        1.49469,
        1.61231,
        1.58102,
        1.55901,
        1.54899,
        1.54468,
        1.50764,
        1.48586,
        1.43052,
        1.48128,
        1.56735,
        1.62653,
        1.56353,
        1.5249,
        1.50467,
        1.50142,
        1.4912,
        1.51184,
        1.55024,
        1.5207,
        1.47826,
        1.44055,
        1.48333,
        1.52117,
        1.52836,
        1.52917,
        1.50015,
        1.50276,
        1.46375,
        1.46581,
        1.51807,
        1.51341,
        1.5305,
        1.52567,
        1.55554,
        1.48652,
        1.45758,
        1.49099,
        1.50226,
        1.53998,
        1.49986,
        1.49638,
        1.50144,
        1.51382,
        1.53566,
        1.50923,
        1.47263,
        1.54074,
        1.52226,
        1.51639,
        1.52194,
        1.51752,
        1.5299,
        1.49283,
        1.50655,
        1.49014,
        1.48524,
        1.45863,
        1.48828,
        1.54117,
        1.54701,
        1.5913,
        1.52047,
        1.49608,
        1.48825,
        1.50862,
        1.50965,
        1.48511,
        1.45692,
        1.44672,
        1.54237,
        1.58982,
        1.59003,
        1.60084,
        1.55317,
        1.55946,
        1.64377,
        1.6272,
        1.46089,
        1.48785,
        1.77458,
        1.71125,
        1.21373,
        1.55281,
        1.56581,
        1.53013,
        1.6125,
        1.53245,
        1.50753,
        1.49378,
        1.59027,
        1.55745,
        1.52895,
        1.47279,
        1.46133,
        1.47237,
        1.50436,
        1.52936,
        1.48214,
        1.48987,
        1.51399,
        1.47701,
        1.42542,
        1.48731,
        1.53012,
        1.51484,
        1.55726,
        1.51799,
        1.49774,
        1.50301,
        1.48725,
        1.53955,
        1.54659,
        1.51368,
        1.50362,
        1.49864,
        1.50661,
        1.47026,
        1.48245,
        1.52499,
        1.51178,
        1.50807,
        1.50453,
        1.4775,
        1.53079,
        1.48846,
        1.50156,
        1.46878,
        1.46236,
        1.44005,
        1.45799,
        1.48547,
        1.50836,
        1.54085,
        1.50981,
        1.47923,
        1.45627,
        1.47049,
        1.52168,
        1.52496,
        1.48489,
        1.49294,
        1.53445,
        1.4713,
        1.48009,
        1.47678,
        1.48468,
        1.49424,
        1.55013,
        1.50915,
        1.51185,
        1.51305,
        1.51755,
        1.55892,
        1.54939,
        1.50902,
        1.50166,
        1.51452,
        1.47972,
        1.43187,
        1.45585,
        1.49065,
        1.52161,
        1.5029,
        1.43753,
        1.35643,
        1.47554,
        1.46882,
        1.45579,
        1.49854,
        1.70515,
        1.73214,
        1.66482,
        1.67628,
        1.6355,
        1.61281,
        1.65439,
        1.63754,
        1.70213,
        1.67781,
        1.67865,
        1.67143,
        1.71295,
        1.64546,
        1.66229,
        1.63929,
        1.72336,
        1.76523,
        1.74628,
        1.79025,
        1.70316,
        1.74758,
        1.76727,
        1.75128,
        1.73163,
        1.79723,
        1.79633,
        1.78626,
        1.59871,
        1.49227,
        1.53586,
        1.62433,
        1.61335,
        1.59911,
        1.68641,
        1.63184,
        1.58479,
        1.60186,
        1.62727,
        1.59039,
        1.59389,
        1.62049,
        1.54481,
        1.55669,
        1.58994,
        1.57718,
        1.56615,
        1.53409,
        1.54008,
        1.53454,
        1.49833,
        1.49979,
        1.53671,
        1.54088,
        1.50968,
        1.52677,
        1.54077,
        1.5037,
        1.51317,
        1.49238,
        1.52723,
        1.53041,
        1.5329,
        1.49391,
        1.46439,
        1.48695,
        1.53838,
        1.57067,
        1.52616,
        1.52522,
        1.57785,
        1.52978,
        1.54018,
        1.58866,
        1.49021,
        1.47141,
        1.47884,
        1.5214,
        1.45503,
        1.45115,
        1.21239,
        1.66946,
        2.0224,
        1.75258,
        1.66164,
        1.80017,
        1.75452,
        1.62626,
        1.44538,
        1.56875,
        1.5161,
        1.53084,
        1.56034,
        1.4247,
        1.47179,
        1.53782,
        1.43945,
        1.47293,
        1.44108,
        1.52196,
        1.23635,
        1.78952,
        1.48438,
        1.58737,
        1.66942,
        1.49735,
        1.53839,
        1.56551,
        1.54314,
        1.51891,
        1.44583,
        1.49778,
        1.51283,
        1.50549,
        1.53725,
        1.53836,
        1.55101,
        1.54504,
        1.52878,
        1.47809,
        1.48693,
        1.51394,
        1.54788,
        1.50533,
        1.53484,
        1.53259,
        1.48268,
        1.51597,
        1.4751,
        1.45825,
        1.49891,
        1.49696,
        1.52541,
        1.5351,
        1.49332,
        1.47443,
        1.52528,
        1.53675,
        1.53133,
        1.4932,
        1.479,
        1.4783,
        1.51252,
        1.49918,
        1.48752,
        1.53609,
        1.54342,
        1.50166,
        1.47924,
        1.46627,
        1.4988,
        1.5532,
        1.56655,
        1.50795,
        1.4914,
        1.52075,
        1.51956,
        1.4494,
        1.49648,
        1.57197,
        1.56587,
        1.5329,
        1.50662,
        1.5152,
        1.53022,
        1.52842,
        1.56638,
        1.47938,
        1.51837,
        1.53345,
        1.52341,
        1.55442,
        1.49963,
        1.56552,
        1.45894,
        1.55679,
        1.62358,
        1.33303,
        1.49186,
        1.73288,
        1.42368,
        1.06194,
        1.36791,
        1.53264,
        1.65312,
        1.54263,
        1.49455,
        1.52342,
        1.55432,
        1.54613,
        1.49774,
        1.48797,
        1.45453,
        1.51046,
        1.48213,
        1.49583,
        1.54103,
        1.57579,
        1.5535,
        1.50758,
        1.50455,
        1.48394,
        1.516,
        1.37316,
        1.33004,
        1.40992,
        1.51151,
        1.51223,
        1.48977,
        1.63028,
        1.51145,
        1.54032,
        1.59865,
        1.58896,
        1.39863,
        1.43789,
        1.41042,
        1.48009,
        1.51525,
        1.53745,
        1.4641,
        1.47605,
        1.49236,
        1.46124,
        1.4829,
        1.50209,
        1.48175,
        1.50164,
        1.5792,
        1.49235,
        1.56901,
        1.52502,
        1.48052,
        1.50814,
        1.48721,
        1.47168,
        1.45668,
        1.49707,
        1.52428,
        1.50002,
        1.49127,
        1.51751,
        1.44603,
        1.45888,
        1.45951,
        1.47867,
        1.50703,
        1.4401,
        1.44646,
        1.48246,
        1.51262,
        1.51251,
        1.47882,
        1.46147,
        1.50192,
        1.50939,
        1.46501,
        1.47654,
        1.50263,
        1.48722,
        1.46175,
        1.48548,
        1.49933,
        1.47768,
        1.5313,
        1.48454,
        1.49459,
        1.48944,
        1.48209,
        1.44787,
        1.45976,
        1.39765,
        1.44517,
        1.45609,
        1.49165,
        1.53967,
        1.43444,
        1.37019,
        1.67473,
        1.5358,
        1.28033,
        1.22987,
        1.51992,
        1.5634,
        1.49149,
        1.45633,
        1.48732,
        1.49009,
        1.528,
        1.50949,
        1.54403,
        1.58131,
        1.54025,
        1.48068,
        1.4717,
        1.50599,
        1.50166,
        1.48468,
        1.4852,
        1.51541,
        1.52074,
        1.56393,
        1.55092,
        1.47745,
        1.47983,
        1.48072,
        1.46721,
        1.50875,
        1.5495,
        1.54948,
        1.48617,
        1.50352,
        1.67893,
        1.65144,
        1.54094,
        1.55561,
        1.65853,
        1.57538,
        1.57073,
        2.1501,
        1.93366,
        1.7371,
        1.58153,
        1.60391,
        1.63013,
        1.69003,
        1.57349,
        1.5209,
        1.63215,
        1.51565,
        1.53646,
        1.54752,
        1.48857,
        1.42288,
        1.4881,
        1.61989,
        1.57076,
        1.62945,
        1.63036,
        1.65145,
        1.6355,
        1.66147,
        1.70468,
        1.71829,
        1.68622,
        1.70291,
        1.73287,
        1.70387,
        1.6904,
        1.7391,
        1.7418,
        1.76938,
        1.66899,
        1.72404,
        1.74896,
        1.69561,
        1.65671,
        1.75379,
        1.75826,
        1.69242,
        1.70447,
        1.67297,
        1.67574,
        1.71942,
        1.57868,
        1.71942,
        1.61927,
        1.60947,
        1.69308,
        1.7772,
        1.61694,
        1.48123,
        1.51699,
        1.63175,
        1.72512,
        1.44937,
        1.66369,
        1.63503,
        1.50884,
        1.55482,
        1.46292,
        1.56739,
        1.67295,
        1.67125,
        1.56758,
        1.52891,
        1.49841,
        1.48786,
        1.50956,
        1.50066,
        1.47809,
        1.51265,
        1.54579,
        1.59799,
        1.56516,
        1.52519,
        1.54354,
        1.52402,
        1.50436,
        1.49793,
        1.51434,
        1.543,
        1.55027,
        1.52553,
        1.54424,
        1.50924,
        1.49057,
        1.45053,
        1.53968,
        1.54267,
        1.55657,
        1.46946,
        1.52112,
        1.52532,
        1.49732,
        1.48522,
        1.45114,
        1.4494,
        1.50227,
        1.42965,
        1.45585,
        1.51107,
        1.5037,
        1.49855,
        1.4979,
        1.58047,
        1.62675,
        1.6758,
        1.65491,
        1.42818,
        1.44015,
        1.46231,
        1.42502,
        1.50326,
        1.61873,
        1.56484,
        1.53719,
        1.51965,
        1.51687,
        1.53504,
        1.45901,
        1.46109,
        1.50716,
        1.48454,
        1.46544,
        1.4608,
        1.43915,
        1.46897,
        1.49801,
        1.51442,
        1.49964,
        1.49725,
        1.47037,
        1.4999,
        1.55284,
        1.55156,
        1.51226,
        1.54482,
        1.51851,
        1.51517,
        1.53442,
        1.54331,
        1.50682,
        1.5126,
        1.51877,
        1.52991,
        1.52667,
        1.56044,
        1.56163,
        1.54992,
        1.5364,
        1.51976,
        1.52721,
        1.52703,
        1.47127,
        1.48807,
        1.59237,
        1.51069,
        1.53595,
        1.5401,
        1.52967,
        1.51808,
        1.51939,
        1.29521,
        1.46425,
        1.62343,
        1.53956,
        1.50675,
        1.51326,
        1.43013,
        1.46851,
        1.49113,
        1.53982,
        1.51529,
        1.46962,
        1.5273,
        1.53015,
        1.48994,
        1.51129,
        1.52164,
        1.54592,
        1.48809,
        1.54984,
        1.58837,
        1.50989,
        1.49905,
        1.51837,
        1.58838,
        1.51204,
        1.42602,
        1.45918,
        1.49376,
        1.52291,
        1.49746,
        1.51832,
        1.49007,
        1.48016,
        1.48139,
        1.50142,
        1.49486,
        1.48802,
        1.51,
        1.50633,
        1.46893,
        1.47896,
        1.55757,
        1.51525,
        1.43801,
        1.54303,
        1.45882,
        1.41632,
        1.44514,
        1.4949,
        1.48497,
        1.50239,
        1.50902,
        1.49488,
        1.48488,
        1.52726,
        1.47992,
        1.42974,
        1.49606,
        1.50923,
        1.31771,
        1.47527,
        1.94365,
        1.56386,
        1.6931,
        1.51711,
        1.63603,
        1.50142,
        1.49306,
        1.50993,
        1.49081,
        1.54326,
        1.51294,
        1.53515,
        1.53068,
        1.49723,
        1.4728,
        1.47999,
        1.53633,
        1.50615,
        1.54228,
        1.50821,
        1.53077,
        1.50739,
        1.53464,
        1.4983,
        1.47456,
        1.50385,
        1.51075,
        1.4832,
        1.49617,
        1.51937,
        1.55391,
        1.50224,
        1.47032,
        1.42025,
        1.44322,
        1.47088,
        1.50931,
        1.51089,
        1.48653,
        1.54935,
        1.47132,
        1.46823,
        1.43022,
        1.46011,
        1.52169,
        1.68252,
        1.55163,
        1.54056,
        1.52995,
        1.48711,
        1.51249,
        1.49992,
        1.55422,
        1.51199,
        1.48973,
        1.51398,
        1.47584,
        1.49687,
        1.49328,
        1.43772,
        1.45005,
        1.5242,
        1.55427,
        1.54813,
        1.51759,
        1.57524,
        1.50776,
        1.47226,
        1.47475,
        1.49369,
        1.45573,
        1.46752,
        1.51526,
        1.52412,
        1.47425,
        1.47688,
        1.44945,
        1.49056,
        1.48327,
        1.50223,
        1.45498,
        1.44253,
        1.45848,
        1.46725,
        1.46734,
        1.49561,
        1.50101,
        1.47974,
        1.49434,
        1.4695,
        1.50705,
        1.5002,
        1.48171,
        1.47956,
        1.50337,
        1.49539,
        1.49711,
        1.5476,
        1.52515,
        1.52871,
        1.48849,
        1.50626,
        1.49471,
        1.50895,
        1.49337,
        1.47134,
        1.48987,
        1.48396,
        1.538,
        1.5021,
        1.4923,
        1.60756,
        1.50386,
        1.49441,
        1.43672,
        1.58141,
        1.5136,
        1.46357,
        1.3865,
        1.2795,
        1.57137,
        1.44335,
        1.45541,
        1.48378,
        1.52994,
        1.61567,
        1.56838,
        1.54726,
        1.59043,
        1.49812,
        1.48016,
        1.4939,
        1.45898,
        1.54525,
        1.5576,
        1.52619,
        1.56439,
        1.5819,
        1.56893,
        1.56295,
        1.54181,
        1.56118,
        1.58945,
        1.64701,
        1.68635,
        1.55053,
        1.56072,
        1.51029,
        1.6765,
        1.64328,
        1.69849,
        1.54503,
        1.71129,
        1.63798,
        1.64197,
        1.60615,
        1.69949,
        1.62572,
        1.66683,
        1.74482,
        1.67427,
        1.69362,
        1.63581,
        1.70182,
        1.76288,
        1.68003,
        1.68832,
        1.70793,
        1.74112,
        1.75847,
        1.72217,
        1.70964,
        1.78416,
        1.7664,
        1.85507,
        1.65504,
        1.83341,
        1.64147,
        1.72291,
        1.51734,
        1.56283,
        1.52325,
        1.60695,
        1.61095,
        1.58945,
        1.52279,
        1.57916,
        1.57733,
        1.58926,
        1.53433,
        1.5564,
        1.58267,
        1.61223,
        1.55442,
        1.56318,
        1.59324,
        1.55768,
        1.57187,
        1.53241,
        1.54379,
        1.54919,
        1.5004,
        1.5286,
        1.4861,
        1.50139,
        1.55523,
        1.53959,
        1.54423,
        1.53605,
        1.47782,
        1.50501,
        1.47842,
        1.52178,
        1.48751,
        1.47796,
        1.49996,
        1.50207,
        1.49938,
        1.49072,
        1.46863,
        1.48623,
        1.49756,
        1.52028,
        1.48742,
        1.54728,
        1.52102,
        1.50372,
        1.50284,
        1.49585,
        1.44206,
        1.44862,
        1.41325,
        1.35372,
        1.47834,
        1.41914,
        1.4594,
        1.51042,
        1.57355,
        1.35392,
        1.49481,
        1.63733,
        1.58106,
        1.53173,
        1.56552,
        1.45511,
        1.47819,
        1.45595,
        1.47567,
        1.53353,
        1.55532,
        1.60456,
        1.52667,
        1.52765,
        1.51287,
        1.49518,
        1.5408,
        1.47293,
        1.48397,
        1.49945,
        1.47809,
        1.40341,
        1.43473,
        1.41765,
        1.41454,
        1.51512,
        1.54779,
        1.54469,
        1.48681,
        1.50611,
        1.50256,
        1.53033,
        1.4994,
        1.46651,
        1.49071,
        1.49799,
        1.4641,
        1.4555,
        1.51607,
        1.46704,
        1.49842,
        1.50719,
        1.48571,
        1.50216,
        1.48002,
        1.49721,
        1.48576,
        1.50947,
        1.49226,
        1.53998,
        1.49771,
        1.54026,
        1.51437,
        1.51193,
        1.4969,
        1.52881,
        1.48351,
        1.47903,
        1.49687,
        1.49037,
        1.49322,
        1.48762,
        1.44551,
        1.45522,
        1.52119,
        1.55047,
        1.50368,
        1.52082,
        1.50278,
        1.4915,
        1.45629,
        1.48925,
        1.48314,
        1.49352,
        1.47957,
        1.50251,
        1.48689,
        1.49593,
        1.487,
        1.51136,
        1.5096,
        1.48641,
        1.50061,
        1.48057,
        1.47655,
        1.48304,
        1.47975,
        1.511,
        1.51359,
        1.52789,
        1.52218,
        1.50119,
        1.43875,
        1.44709,
        1.51016,
        1.47707,
        1.47655,
        1.48263,
        1.47969,
        1.51847,
        1.48777,
        1.49028,
        1.52204,
        1.51814,
        1.47356,
        1.44375,
        1.49155,
        1.5584,
        1.46591,
        1.4253,
        1.46098,
        1.49996,
        1.53845,
        1.48636,
        1.53267,
        1.54903,
        1.49845,
        1.54053,
        1.53387,
        1.35223,
        1.40337,
        1.44032,
        1.54208,
        1.56842,
        1.47802,
        1.56196,
        1.40033,
        1.33998,
        1.4603,
        1.5292,
        1.52318,
        1.63364,
        1.37745,
        1.50691,
        1.45517,
        1.69441,
        1.38821,
        1.46581,
        1.56163,
        1.28484,
        1.20092,
        1.17361,
        1.44617,
        1.53219,
        1.6358,
        1.5381,
        1.38723,
        1.40522,
        1.41183,
        1.43149,
        1.54567,
        1.41331,
        1.40158,
        1.43075,
        1.44793,
        1.47986,
        1.47234,
        1.46152,
        1.45631,
        1.46268,
        1.5035,
        1.43459,
        1.49389,
        1.50404,
        1.4708,
        1.48759,
        1.49387,
        1.49366,
        1.48872,
        1.5048,
        1.49907,
        1.43196,
        1.46266,
        1.50998,
        1.51862,
        1.47345,
        1.45302,
        1.51287,
        1.54444,
        1.50965,
        1.4948,
        1.47603,
        1.47548,
        1.52825,
        1.46675,
        1.51093,
        1.49204,
        1.4984,
        1.46089,
        1.47154,
        1.4923,
        1.52936,
        1.45264,
        1.46675,
        1.43907,
        1.49396,
        1.51935,
        1.57247,
        1.53686,
        1.46188,
        1.5037,
        1.4742,
        1.52705,
        1.4499,
        1.53464,
        1.49091,
        1.45882,
        1.50735,
        1.51296,
        1.5228,
        1.48346,
        1.54226,
        1.44748,
        1.48859,
        1.51741,
        1.49505,
        1.54089,
        1.49854,
        1.55875,
        1.53608,
        1.51267,
        1.54054,
        1.51899,
        1.50661,
        1.4565,
        1.47297,
        1.49418,
        1.45246,
        1.47977,
        1.48806,
        1.52486,
        1.50608,
        1.46531,
        1.46334,
        1.45724,
        1.4862,
        1.46184,
        1.44698,
        1.48207,
        1.50962,
        1.53545,
        1.5255,
        1.49488,
        1.54337,
        1.49823,
        1.42739,
        1.34543,
        1.35616,
        1.38954,
        1.43298,
        1.24695,
        1.24416,
        1.50769,
        1.53812,
        1.40015,
        1.46586,
        1.54075,
        1.53694,
        1.44204,
        1.32202,
        1.42882,
        1.37998,
        1.45124,
        1.53409,
        1.54,
        1.50115,
        1.59262,
        1.47368,
        1.52351,
        1.56464,
        1.5533,
        1.53911,
        1.49256,
        1.59654,
        1.57095,
        1.49155,
        1.52961,
        1.51814,
        1.5281,
        1.53354,
        1.56531,
        1.55838,
        1.59366,
        1.62914,
        1.58531,
        1.61406,
        1.6249,
        1.60303,
        1.67812,
        1.64942,
        1.62815,
        1.69772,
        1.65046,
        1.67826,
        1.67639,
        1.69457,
        1.70245,
        1.63958,
        1.59961,
        1.71633,
        1.63326,
        1.65287,
        1.70566,
        1.67634,
        1.66147,
        1.70238,
        1.72909,
        1.81308,
        1.738,
        1.82379,
        1.71001,
        1.72194,
        1.73319,
        1.7745,
        1.73455,
        1.77672,
        1.82225,
        1.79624,
        1.83607,
        1.6986,
        1.68618,
        1.56622,
        1.6204,
        1.75565,
        1.66158,
        1.65329,
        1.67496,
        1.66874,
        1.56244,
        1.62388,
        1.50788,
        1.46144,
        1.54775,
        1.50572,
        1.54314,
        1.55044,
        1.55387,
        1.56846,
        1.53435,
        1.53943,
        1.54164,
        1.56375,
        1.56072,
        1.53376,
        1.60461,
        1.5817,
        1.53896,
        1.56254,
        1.5262,
        1.50744,
        1.52382,
        1.51928,
        1.5273,
        1.54423,
        1.55273,
        1.56045,
        1.50919,
        1.4574,
        1.52451,
        1.52127,
        1.47474,
        1.49126,
        1.53658,
        1.49219,
        1.63629,
        1.52371,
        1.60003,
        1.57775,
        1.36588,
        1.56734,
        1.66615,
        1.64664,
        1.58581,
        1.40595,
        1.35483,
        1.4956,
        1.72643,
        1.61808,
        1.55491,
        1.46885,
        1.54914,
        1.44733,
        1.47634,
        1.47468,
        1.45101,
        1.43992,
        1.48211,
        1.54437,
        1.50702,
        1.49222,
        1.56257,
        1.50287,
        1.52635,
        1.50133,
        1.5001,
        1.50205,
        1.48414,
        1.47063,
        1.48272,
        1.48657,
        1.50069,
        1.54017,
        1.50338,
        1.4991,
        1.48871,
        1.54395,
        1.52613,
        1.50148,
        1.48011,
        1.50668,
        1.47017,
        1.50838,
        1.5113,
        1.57244,
        1.48848,
        1.47726,
        1.54431,
        1.46556,
        1.47324,
        1.495,
        1.52576,
        1.50764,
        1.47112,
        1.51266,
        1.47008,
        1.50812,
        1.52217,
        1.49371,
        1.47442,
        1.48973,
        1.50511,
        1.45817,
        1.49934,
        1.48055,
        1.47163,
        1.44803,
        1.49197,
        1.49968,
        1.50202,
        1.48235,
        1.50193,
        1.51485,
        1.47973,
        1.46861,
        1.50878,
        1.48356,
        1.49783,
        1.52936,
        1.50697,
        1.47422,
        1.47127,
        1.51257,
        1.50256,
        1.53792,
        1.44639,
        1.47858,
        1.50701,
        1.46308,
        1.46424,
        1.49956,
        1.47943,
        1.49716,
        1.49758,
        1.48959,
        1.50393,
        1.48975,
        1.4875,
        1.48517,
        1.46286,
        1.46126,
        1.4719,
        1.53929,
        1.45598,
        1.51518,
        1.54294,
        1.549,
        1.41321,
        1.45373,
        1.48835,
        1.46983,
        1.5025,
        1.4357,
        1.44063,
        1.48795,
        1.53197,
        1.53386,
        1.44634,
        1.53796,
        1.56406,
        1.52425,
        1.61287,
        1.37955,
        1.42998,
        1.50873,
        1.59797,
        1.498,
        1.50472,
        1.47716,
        1.36498,
        1.51437,
        1.4804,
        1.4427,
        1.56172,
        1.54267,
        1.53772,
        1.65988,
        1.36193,
        1.33163,
        1.6784,
        1.43684,
        1.47101,
        1.61888,
        1.50553,
        1.5161,
        1.40167,
        1.4459,
        1.35741,
        1.45065,
        1.45353,
        1.44786,
        1.45814,
        1.50825,
        1.51296,
        1.46984,
        1.49753,
        1.43403,
        1.47641,
        1.48787,
        1.48367,
        1.49514,
        1.47032,
        1.45977,
        1.51474,
        1.47519,
        1.53901,
        1.53637,
        1.48931,
        1.50818,
        1.42503,
        1.45516,
        1.47042,
        1.48424,
        1.51019,
        1.49348,
        1.49761,
        1.48551,
        1.47334,
        1.48817,
        1.44403,
        1.47281,
        1.5476,
        1.53371,
        1.43156,
        1.46024,
        1.50483,
        1.52994,
        1.51451,
        1.53114,
        1.4692,
        1.53084,
        1.4799,
        1.46299,
        1.44648,
        1.49362,
        1.50088,
        1.53724,
        1.46425,
        1.4963,
        1.501,
        1.45346,
        1.43851,
        1.50194,
        1.52866,
        1.4451,
        1.43876,
        1.46658,
        1.4704,
        1.45814,
        1.49342,
        1.4304,
        1.42693,
        1.46723,
        1.45632,
        1.43983,
        1.44099,
        1.52698,
        1.46303,
        1.4429,
        1.47714,
        1.46803,
        1.47364,
        1.48819,
        1.46419,
        1.48894,
        1.4785,
        1.4105,
        1.46854,
        1.49993,
        1.52039,
        1.47778,
        1.55695,
        1.39497,
        1.38768,
        1.51227,
        1.52952,
        1.43305,
        1.48509,
        1.47832,
        1.43998,
        1.4569,
        1.50011,
        1.57533,
        1.61585,
        1.54727,
        1.47596,
        1.52023,
        1.34302,
        1.48806,
        1.54108,
        1.51799,
        1.52079,
        1.52351,
        1.52342,
        1.52797,
        1.52142,
        1.50354,
        1.47384,
        1.47508,
        1.5018,
        1.45207,
        1.52415,
        1.41991,
        1.49471,
        1.5041,
        1.44126,
        1.49352,
        1.48959,
        1.48634,
        1.46666,
        1.52124,
        1.57063,
        1.57405,
        1.51576,
        1.63092,
        1.42515,
        1.54042,
        1.61314,
        1.54154,
        1.50335,
        1.50942,
        1.4213,
        1.32703,
        1.48268,
        1.47419,
        1.43769,
        1.47802,
        1.43388,
        1.44688,
        1.44258,
        1.46516,
        1.51071,
        1.50353,
        1.49947,
        1.50599,
        1.41542,
        1.53868,
        1.53762,
        1.45476,
        1.5521,
        1.46455,
        1.52601,
        1.48123,
        1.53572,
        1.53349,
        1.59127,
        1.49322,
        1.5303,
        1.53606,
        1.47875,
        1.52153,
        1.54602,
        1.53991,
        1.50245,
        1.52365,
        1.55081,
        1.53068,
        1.5485,
        1.57416,
        1.60786,
        1.58733,
        1.60007,
        1.5647,
        1.62606,
        1.68762,
        1.67731,
        1.64226,
        1.57677,
        1.68755,
        1.6082,
        1.66345,
        1.60314,
        1.62908,
        1.68356,
        1.68589,
        1.68991,
        1.62308,
        1.69031,
        1.63975,
        1.65347,
        1.72074,
        1.74702,
        1.64593,
        1.72372,
        1.616,
        null,
        1.49221,
        1.48001,
        1.43945,
        1.47704,
        1.50794,
        1.48052,
        1.469,
        1.51344,
        1.50242,
        1.44513,
        1.47429,
        1.45596,
        1.4405,
        1.4623,
        1.43439,
        1.45074,
        1.44123,
        1.38669,
        1.45305,
        1.4932,
        1.49053,
        1.49606,
        1.46828,
        1.47005,
        1.44855,
        1.44692,
        1.46497,
        1.48577,
        1.51587,
        1.48413,
        1.45628,
        1.45957,
        1.45618,
        1.47746,
        1.45225,
        1.43502,
        1.44952,
        1.4712,
        1.44141,
        1.4371,
        1.45967,
        1.45447,
        1.44107,
        1.41847,
        1.43797,
        1.45423,
        1.46021,
        1.49851,
        1.47906,
        1.46339,
        1.4266,
        1.43792,
        1.38167,
        1.41159,
        1.49205,
        1.50949,
        1.52077,
        1.46862,
        1.41888,
        1.48345,
        1.5272,
        1.48426,
        1.471,
        1.47868,
        1.48304,
        1.45448,
        1.46073,
        1.50939,
        1.50044,
        1.47348,
        1.44682,
        1.49477,
        1.51935,
        1.51534,
        1.54283,
        1.51555,
        1.48467,
        1.48746,
        1.47003,
        1.48267,
        1.44344,
        1.4606,
        1.52385,
        1.51544,
        1.50963,
        1.50154,
        1.44787,
        1.46656,
        1.47629,
        1.48362,
        1.46057,
        1.45727,
        1.48022,
        1.52272,
        1.51475,
        1.49717,
        1.46232,
        1.4273,
        1.42727,
        1.46027,
        1.47853,
        1.48413,
        1.50388,
        1.4972,
        1.48032,
        1.4681,
        1.47569,
        1.47312,
        1.4666,
        1.46283,
        1.48496,
        1.45996,
        1.44704,
        1.43399,
        1.44199,
        1.49231,
        1.52374,
        1.51718,
        1.48898,
        1.44127,
        1.44708,
        1.4609,
        1.46602,
        1.4722,
        1.51122,
        1.51846,
        1.44596,
        1.45244,
        1.48828,
        1.54996,
        1.49859,
        1.4701,
        1.46645,
        1.47028,
        1.50818,
        1.48991,
        1.47974,
        1.55421,
        1.52108,
        1.45868,
        1.47211,
        1.48499,
        1.47633,
        1.45652,
        1.44694,
        1.46317,
        1.46665,
        1.47304,
        1.48428,
        1.47999,
        1.50648,
        1.47268,
        1.4598,
        1.45224,
        1.46217,
        1.4837,
        1.48447,
        1.44656,
        1.44374,
        1.47275,
        1.48375,
        1.4436,
        1.45698,
        1.48557,
        1.46689,
        1.47618,
        1.48588,
        1.48511,
        1.49501,
        1.48163,
        1.47138,
        1.44478,
        1.4899,
        1.52913,
        1.49739,
        1.48151,
        1.47076,
        1.46958,
        1.41509,
        1.47007,
        1.46574,
        1.50648,
        1.51443,
        1.47729,
        1.50157,
        1.5604,
        1.48331,
        1.45024,
        1.51888,
        1.47589,
        1.44108,
        1.46187,
        1.48517,
        1.5097,
        1.53045,
        1.51,
        1.52246,
        1.53091,
        1.49808,
        1.51972,
        1.53917,
        1.5532,
        1.5616,
        1.52753,
        1.51892,
        1.5091,
        1.49545,
        1.52327,
        1.54218,
        1.53104,
        1.52238,
        1.56347,
        1.55719,
        1.56001,
        1.55791,
        1.55346,
        1.5947,
        1.59197,
        1.61621,
        1.665,
        1.61321,
        1.61832,
        1.60576,
        1.66323,
        1.67603,
        1.63621,
        1.66541,
        1.65502,
        1.60607,
        1.59918,
        1.59062,
        1.62252,
        1.66231,
        1.65769,
        1.66548,
        1.64726,
        1.69401,
        1.63938,
        1.61222,
        1.67659,
        1.6862,
        1.7063,
        1.8958,
        1.72842,
        1.61621,
        1.66857,
        1.63166,
        1.75993,
        1.67715,
        1.68715,
        1.52056,
        1.71117,
        1.54654,
        1.53107,
        1.55194,
        1.57497,
        1.5526,
        1.57868,
        1.53317,
        1.54267,
        1.55608,
        1.53259,
        1.57302,
        1.58658,
        1.56764,
        1.55343,
        1.5339,
        1.55586,
        1.52958,
        1.48627,
        1.50578,
        1.50269,
        1.49809,
        1.46604,
        1.49818,
        1.48786,
        1.48474,
        1.50478,
        1.48242,
        1.49653,
        1.50502,
        1.49559,
        1.51088,
        1.46005,
        1.49934,
        1.47098,
        1.47565,
        1.47744,
        1.55394,
        1.56439,
        1.50065,
        1.44469,
        1.42594,
        1.47945,
        1.49204,
        1.38367,
        1.42575,
        1.4317,
        1.48606,
        1.53035,
        1.46882,
        1.44416,
        1.44178,
        1.47125,
        1.47984,
        1.46416,
        1.45927,
        1.42203,
        1.42039,
        1.45998,
        1.48111,
        1.48468,
        1.44255,
        1.46024,
        1.47532,
        1.45399,
        1.46179,
        1.45677,
        1.47029,
        1.48046,
        1.46409,
        1.48044,
        1.48406,
        1.50201,
        1.50681,
        1.47483,
        1.50957,
        1.50242,
        1.46884,
        1.44466,
        1.43557,
        1.43734,
        1.4548,
        1.4962,
        1.46496,
        1.45737,
        1.46567,
        1.49638,
        1.46156,
        1.46997,
        1.4959,
        1.49127,
        1.45607,
        1.46137,
        1.46032,
        1.47203,
        1.48238,
        1.45799,
        1.4633,
        1.46628,
        1.46878,
        1.46898,
        1.44609,
        1.41276,
        1.45178,
        1.43739,
        1.42329,
        1.44875,
        1.47608,
        1.46193,
        1.46941,
        1.48127,
        1.49028,
        1.45709,
        1.46673,
        1.44327,
        1.45868,
        1.47038,
        1.47736,
        1.46622,
        1.47806,
        1.49692,
        1.4871,
        1.46506,
        1.44423,
        1.44756,
        1.45002,
        1.42563,
        1.47399,
        1.49285,
        1.47476,
        1.47715,
        1.48096,
        1.46285,
        1.46825,
        1.48395,
        1.47807,
        1.49155,
        1.51408,
        1.4964,
        1.47094,
        1.49113,
        1.48838,
        1.50366,
        1.54452,
        1.47562,
        1.46225,
        1.50312,
        1.52114,
        1.50621,
        1.46685,
        1.48095,
        1.441,
        1.41209,
        1.50115,
        1.49378,
        1.49836,
        1.49406,
        1.39115,
        1.38697,
        1.44169,
        1.46498,
        1.44719,
        1.52149,
        1.51103,
        1.52098,
        1.46988,
        1.44931,
        1.40499,
        1.42991,
        1.46249,
        1.48105,
        1.52408,
        1.51374,
        1.4494,
        1.43372,
        1.44291,
        1.418,
        1.42975,
        1.46898,
        1.4345,
        1.46529,
        1.49068,
        1.45177,
        1.43481,
        1.47587,
        1.46662,
        1.41382,
        1.47409,
        1.47284,
        1.45637,
        1.44994,
        1.41875,
        1.45203,
        1.47062,
        1.44551,
        1.47139,
        1.49194,
        1.49845,
        1.44747,
        1.50876,
        1.51535,
        1.47689,
        1.45365,
        1.4746,
        1.49948,
        1.48189,
        1.49504,
        1.5233,
        1.51039,
        1.46475,
        1.51515,
        1.54078,
        1.51592,
        1.45124,
        1.45192,
        1.45458,
        1.46222,
        1.51872,
        1.46326,
        1.47521,
        1.478,
        1.47786,
        1.49317,
        1.48462,
        1.48851,
        1.50782,
        1.53055,
        1.5029,
        1.47022,
        1.47119,
        1.45964,
        1.46517,
        1.46944,
        1.45557,
        1.44458,
        1.46635,
        1.45631,
        1.45555,
        1.47297,
        1.47587,
        1.47941,
        1.46893,
        1.46842,
        1.45989,
        1.44453,
        1.44807,
        1.4578,
        1.44358,
        1.4474,
        1.44498,
        1.45522,
        1.48135,
        1.5042,
        1.47006,
        1.43943,
        1.45144,
        1.50794,
        1.48907,
        1.46459,
        1.43949,
        1.44718,
        1.46873,
        1.44926,
        1.47198,
        1.48724,
        1.51023,
        1.50665,
        1.50086,
        1.4952,
        1.48714,
        1.43803,
        1.46552,
        1.48966,
        1.50365,
        1.49094,
        1.51329,
        1.49508,
        1.48096,
        1.45183,
        1.49272,
        1.46785,
        1.48178,
        1.4813,
        1.48072,
        1.44952,
        1.47014,
        1.47219,
        1.4554,
        1.46677,
        1.50794,
        1.48375,
        1.48827,
        1.47249,
        1.42502,
        1.44577,
        1.46683,
        1.43472,
        1.50407,
        1.46843,
        1.45644,
        1.48706,
        1.50484,
        1.45045,
        1.46961,
        1.47279,
        1.47702,
        1.48218,
        1.52261,
        1.51443,
        1.46527,
        1.52137,
        1.54909,
        1.511,
        1.4883,
        1.4954,
        1.48986,
        1.4893,
        1.50098,
        1.48777,
        1.45284,
        1.49361,
        1.50929,
        1.5098,
        1.51805,
        1.51265,
        1.49631,
        1.52093,
        1.52131,
        1.49753,
        1.53877,
        1.51575,
        1.49866,
        1.50781,
        1.48483,
        1.51506,
        1.5336,
        1.56426,
        1.52968,
        1.56004,
        1.60274,
        1.61049,
        1.57954,
        1.61441,
        1.61305,
        1.60047,
        1.58142,
        1.61379,
        1.63254,
        1.6459,
        1.65922,
        1.65616,
        1.62985,
        1.64095,
        1.64562,
        1.62687,
        1.59924,
        1.60083,
        1.61502,
        1.61309,
        1.63032,
        1.62305,
        1.64988,
        1.70678,
        1.66765,
        1.69323,
        1.71618,
        1.65641,
        1.69322,
        1.70965,
        1.64181,
        1.62363,
        1.66718,
        1.73952,
        1.7193,
        1.85308,
        1.90005,
        1.65445,
        1.67338,
        1.74759,
        1.61274,
        1.61,
        1.55691,
        1.56591,
        1.55922,
        1.5915,
        1.58825,
        1.54072,
        1.54312,
        1.56196,
        1.54533,
        1.56261,
        1.50823,
        1.44253,
        1.48293,
        1.48979,
        1.52698,
        1.52509,
        1.51919,
        1.42816,
        1.4782,
        1.45724,
        1.49348,
        1.499,
        1.49706,
        1.51924,
        1.54408,
        1.49006,
        1.48269,
        1.51716,
        1.49825,
        1.4655,
        1.4322,
        1.46296,
        1.50857,
        1.48347,
        1.45882,
        1.42608,
        1.45707,
        1.45433,
        1.51544,
        1.50952,
        1.45124,
        1.426,
        1.49926,
        1.45356,
        1.47491,
        1.53386,
        1.52737,
        1.50631,
        1.48324,
        1.48472,
        1.50881,
        1.47567,
        1.46165,
        1.46951,
        1.48056,
        1.46782,
        1.46431,
        1.4744,
        1.50474,
        1.51275,
        1.46565,
        1.48537,
        1.47711,
        1.48612,
        1.49166,
        1.4735,
        1.49515,
        1.46518,
        1.52344,
        1.52391,
        1.48089,
        1.47437,
        1.5117,
        1.47906,
        1.49616,
        1.48176,
        1.50201,
        1.4845,
        1.49793,
        1.45454,
        1.47959,
        1.46253,
        1.43629,
        1.4267,
        1.44965,
        1.48488,
        1.47066,
        1.44032,
        1.45074,
        1.46667,
        1.4669,
        1.46662,
        1.49226,
        1.45329,
        1.47779,
        1.50414,
        1.44967,
        1.47299,
        1.49773,
        1.45841,
        1.48758,
        1.474,
        1.49942,
        1.51086,
        1.48515,
        1.47229,
        1.49808,
        1.45255,
        1.45281,
        1.45589,
        1.49881,
        1.48089,
        1.48108,
        1.45816,
        1.43346,
        1.49641,
        1.49141,
        1.46336,
        1.48809,
        1.48707,
        1.4648,
        1.44282,
        1.46074,
        1.47293,
        1.46517,
        1.47506,
        1.44179,
        1.45591,
        1.45652,
        1.46897,
        1.47706,
        1.46807,
        1.50845,
        1.48786,
        1.4841,
        1.45997,
        1.45882,
        1.46933,
        1.45771,
        1.45935,
        1.46096,
        1.47805,
        1.44477,
        1.47272,
        1.4453,
        1.45676,
        1.45172,
        1.4449,
        1.475,
        1.46898,
        1.48139,
        1.46381,
        1.47173,
        1.48587,
        1.48249,
        1.46598,
        1.46349,
        1.45481,
        1.44529,
        1.439,
        1.44915,
        1.48251,
        1.4884,
        1.46448,
        1.46962,
        1.45855,
        1.4401,
        1.44457,
        1.47968,
        1.47156,
        1.45402,
        1.46104,
        1.43454,
        1.46367,
        1.44248,
        1.46948,
        1.44467,
        1.46854,
        1.47482,
        1.49699,
        1.43326,
        1.48339,
        1.48577,
        1.43647,
        1.46673,
        1.45681,
        1.46837,
        1.48214,
        1.46886,
        1.44864,
        1.44909,
        1.48167,
        1.50015,
        1.47607,
        1.47005,
        1.45426,
        1.47997,
        1.46945,
        1.47367,
        1.5049,
        1.44281,
        1.4261,
        1.44159,
        1.44537,
        1.4166,
        1.44866,
        1.5024,
        1.4953,
        1.49528,
        1.49668,
        1.49566,
        1.47949,
        1.47669,
        1.51394,
        1.46425,
        1.47553,
        1.4899,
        1.52122,
        1.49532,
        1.514,
        1.48364,
        1.47128,
        1.46363,
        1.4613,
        1.46773,
        1.48969,
        1.48671,
        1.48003,
        1.47499,
        1.4761,
        1.47165,
        1.46858,
        1.47589,
        1.48239,
        1.48128,
        1.49567,
        1.49784,
        1.50766,
        1.49644,
        1.47143,
        1.49373,
        1.49855,
        1.499,
        1.47018,
        1.45923,
        1.50392,
        1.48107,
        1.47514,
        1.46217,
        1.50801,
        1.48959,
        1.48863,
        1.508,
        1.50317,
        1.50781,
        1.48318,
        1.46505,
        1.47924,
        1.43883,
        1.47224,
        1.45816,
        1.47391,
        1.49076,
        1.44391,
        1.47411,
        1.47616,
        1.47573,
        1.51583,
        1.50614,
        1.48131,
        1.50494,
        1.50442,
        1.46454,
        1.5012,
        1.49681,
        1.51442,
        1.52131,
        1.52356,
        1.50127,
        1.524,
        1.53197,
        1.51206,
        1.48368,
        1.48321,
        1.49192,
        1.48665,
        1.48958,
        1.50174,
        1.5128,
        1.50162,
        1.48498,
        1.46452,
        1.48668,
        1.48051,
        1.47963,
        1.49127,
        1.50132,
        1.48707,
        1.50104,
        1.51302,
        1.49368,
        1.49442,
        1.46857,
        1.51654,
        1.54992,
        1.51424,
        1.53864,
        1.49906,
        1.49385,
        1.49795,
        1.53129,
        1.53438,
        1.49765,
        1.49133,
        1.52955,
        1.50534,
        1.46539,
        1.46297,
        1.48123,
        1.4751,
        1.51416,
        1.4938,
        1.50002,
        1.4933,
        1.45074,
        1.44959,
        1.47016,
        1.50392,
        1.48424,
        1.53502,
        1.49597,
        1.51737,
        1.45389,
        1.45967,
        1.47778,
        1.51948,
        1.51348,
        1.44786,
        1.48966,
        1.53542,
        1.51459,
        1.50246,
        1.48415,
        1.50968,
        1.52053,
        1.49566,
        1.48427,
        1.51006,
        1.49646,
        1.53526,
        1.52141,
        1.55298,
        1.49519,
        1.50737,
        1.57777,
        1.60396,
        1.58938,
        1.55421,
        1.56859,
        1.57599,
        1.60083,
        1.62981,
        1.62696,
        1.61993,
        1.62827,
        1.59828,
        1.59352,
        1.60291,
        1.60964,
        1.6455,
        1.65406,
        1.59896,
        1.63255,
        1.63613,
        1.66904,
        1.69331,
        1.70539,
        1.67912,
        1.70397,
        1.68375,
        1.7497,
        1.70222,
        1.69321,
        1.57724,
        1.57414,
        1.68167,
        1.67445,
        1.77383,
        1.91373,
        1.80897,
        1.5704,
        1.73138,
        1.52234,
        1.55851,
        1.5944,
        1.58517,
        1.52299,
        1.60761,
        1.52324,
        1.47943,
        1.56827,
        1.53855,
        1.55455,
        1.52039,
        1.55709,
        1.53272,
        1.55924,
        1.50744,
        1.47884,
        1.5039,
        1.48668,
        1.4893,
        1.48922,
        1.54927,
        1.56242,
        1.50892,
        1.51566,
        1.46185,
        1.44787,
        1.43412,
        1.48314,
        1.46096,
        1.4891,
        1.4748,
        1.47304,
        1.45099,
        1.45275,
        1.46293,
        1.47884,
        1.49141,
        1.46024,
        1.43976,
        1.44817,
        1.47446,
        1.47626,
        1.46134,
        1.46257,
        1.4667,
        1.45597,
        1.47307,
        1.43748,
        1.46982,
        1.4998,
        1.45587,
        1.45513,
        1.47737,
        1.49989,
        1.43143,
        1.41216,
        1.42127,
        1.44194,
        1.43664,
        1.48804,
        1.47075,
        1.4466,
        1.4625,
        1.47444,
        1.48357,
        1.4318,
        1.46744,
        1.47493,
        1.42621,
        1.42094,
        1.50928,
        1.47764,
        1.45244,
        1.44464,
        1.47481,
        1.46684,
        1.44848,
        1.42839,
        1.47562,
        1.49185,
        1.48803,
        1.49497,
        1.44223,
        1.44444,
        1.42578,
        1.45192,
        1.46956,
        1.4347,
        1.443,
        1.49365,
        1.44694,
        1.48623,
        1.4487,
        1.46964,
        1.49213,
        1.44967,
        1.44771,
        1.47651,
        1.45683,
        1.47446,
        1.4624,
        1.41665,
        1.43865,
        1.45773,
        1.47445,
        1.46966,
        1.43831,
        1.43319,
        1.45615,
        1.46048,
        1.45977,
        1.45955,
        1.46764,
        1.45081,
        1.48989,
        1.48894,
        1.4804,
        1.46957,
        1.47964,
        1.43709,
        1.44027,
        1.45826,
        1.47231,
        1.47928,
        1.47501,
        1.4498,
        1.45834,
        1.45346,
        1.45875,
        1.50277,
        1.47552,
        1.44416,
        1.46887,
        1.47303,
        1.47022,
        1.46108,
        1.45895,
        1.45901,
        1.46077,
        1.46689,
        1.46204,
        1.4405,
        1.4277,
        1.45836,
        1.46704,
        1.46506,
        1.4723,
        1.45576,
        1.48518,
        1.48452,
        1.48963,
        1.47226,
        1.47321,
        1.44916,
        1.45786,
        1.45585,
        1.46548,
        1.46416,
        1.49784,
        1.47616,
        1.47021,
        1.44506,
        1.46191,
        1.4853,
        1.50616,
        1.47814,
        1.46832,
        1.44917,
        1.46687,
        1.48425,
        1.45403,
        1.43706,
        1.45447,
        1.43817,
        1.42912,
        1.4495,
        1.46264,
        1.4957,
        1.46413,
        1.47981,
        1.45459,
        1.48044,
        1.49148,
        1.48203,
        1.46864,
        1.45691,
        1.45305,
        1.48754,
        1.4636,
        1.4861,
        1.47637,
        1.49479,
        1.47331,
        1.45789,
        1.45722,
        1.48956,
        1.47714,
        1.46069,
        1.43374,
        1.44405,
        1.45091,
        1.47332,
        1.46931,
        1.46841,
        1.44441,
        1.46109,
        1.4859,
        1.4913,
        1.49105,
        1.48535,
        1.49013,
        1.49946,
        1.45517,
        1.45464,
        1.47116,
        1.47528,
        1.50168,
        1.44558,
        1.43691,
        1.46863,
        1.47148,
        1.44144,
        1.46768,
        1.47158,
        1.44929,
        1.47027,
        1.45629,
        1.42371,
        1.43342,
        1.45962,
        1.46841,
        1.46385,
        1.50133,
        1.51377,
        1.47186,
        1.44776,
        1.48295,
        1.49455,
        1.43159,
        1.43135,
        1.38131,
        1.51329,
        1.44619,
        1.39561,
        1.45318,
        1.49176,
        1.43204,
        1.47309,
        1.49337,
        1.43507,
        1.47896,
        1.48584,
        1.50295,
        1.49185,
        1.50611,
        1.52677,
        1.48205,
        1.48981,
        1.48884,
        1.46977,
        1.50233,
        1.49836,
        1.47601,
        1.47484,
        1.50808,
        1.53369,
        1.5029,
        1.47146,
        1.49024,
        1.48781,
        1.48429,
        1.51176,
        1.517,
        1.49583,
        1.51524,
        1.49246,
        1.46714,
        1.47749,
        1.49509,
        1.48561,
        1.48998,
        1.50842,
        1.49805,
        1.49756,
        1.4826,
        1.50038,
        1.47394,
        1.47637,
        1.46119,
        1.45449,
        1.45022,
        1.49269,
        1.46088,
        1.43789,
        1.46723,
        1.45326,
        1.48635,
        1.48012,
        1.46665,
        1.41089,
        1.45163,
        1.46837,
        1.46267,
        1.44051,
        1.48486,
        1.44361,
        1.42916,
        1.40445,
        1.45387,
        1.44667,
        1.447,
        1.46815,
        1.43929,
        1.44734,
        1.46371,
        1.48026,
        1.46976,
        1.41569,
        1.50097,
        1.49317,
        1.49842,
        1.50456,
        1.5238,
        1.47837,
        1.46832,
        1.43527,
        1.47498,
        1.4287,
        1.50477,
        1.51216,
        1.49001,
        1.49802,
        1.55922,
        1.4656,
        1.46961,
        1.49809,
        1.49134,
        1.48507,
        1.45714,
        1.46841,
        1.43156,
        1.48836,
        1.50042,
        1.47551,
        1.41802,
        1.46825,
        1.49859,
        1.52216,
        1.50277,
        1.50562,
        1.47371,
        1.45704,
        1.52574,
        1.50904,
        1.49493,
        1.49446,
        1.52144,
        1.49979,
        1.52516,
        1.46162,
        1.49122,
        1.52195,
        1.51048,
        1.46022,
        1.50088,
        1.49849,
        1.51479,
        1.50042,
        1.474,
        1.50976,
        1.50647,
        1.51004,
        1.53339,
        1.5417,
        1.60162,
        1.557,
        1.5598,
        1.57976,
        1.55482,
        1.61531,
        1.60728,
        1.62014,
        1.65925,
        1.59964,
        1.55874,
        1.56378,
        1.6456,
        1.59299,
        1.58905,
        1.63162,
        1.63423,
        1.59747,
        1.5933,
        1.58702,
        1.60283,
        1.63452,
        1.64325,
        1.65663,
        1.65104,
        1.69803,
        1.68892,
        1.71141,
        1.65146,
        1.64205,
        1.7358,
        1.63677,
        1.70496,
        1.5487,
        1.5098,
        1.81508,
        1.71721,
        1.57658,
        1.33598,
        1.50573,
        1.45443,
        1.52975,
        1.59469,
        1.57421,
        1.60275,
        1.53265,
        1.54662,
        1.61071,
        1.49096,
        1.53917,
        1.48122,
        1.4926,
        1.45332,
        1.42869,
        1.4668,
        1.36268,
        1.17985,
        1.52718,
        1.5789,
        1.33007,
        1.14879,
        1.42658,
        1.24747,
        1.36766,
        1.32543,
        1.359,
        1.45829,
        1.52402,
        1.47542,
        1.44856,
        1.46729,
        1.45079,
        1.50119,
        1.45741,
        1.53577,
        1.46888,
        1.43981,
        1.39854,
        1.44097,
        1.48653,
        1.48036,
        1.47911,
        1.49442,
        1.50283,
        1.4689,
        1.51775,
        1.40959,
        1.43942,
        1.42951,
        1.40708,
        1.40791,
        1.43342,
        1.43424,
        1.49156,
        1.52114,
        1.48902,
        1.44301,
        1.43613,
        1.46143,
        1.43523,
        1.47835,
        1.46165,
        1.48259,
        1.45691,
        1.41716,
        1.46717,
        1.45527,
        1.49898,
        1.45547,
        1.41411,
        1.45678,
        1.47809,
        1.44003,
        1.51207,
        1.46222,
        1.4658,
        1.45298,
        1.48765,
        1.4764,
        1.45145,
        1.42394,
        1.47072,
        1.45365,
        1.45565,
        1.45693,
        1.45858,
        1.43756,
        1.47534,
        1.45067,
        1.4453,
        1.43288,
        1.44295,
        1.44894,
        1.47478,
        1.46903,
        1.45176,
        1.47193,
        1.48675,
        1.4662,
        1.44424,
        1.44437,
        1.43504,
        1.47809,
        1.47231,
        1.46048,
        1.43398,
        1.43925,
        1.43254,
        1.40887,
        1.45371,
        1.43402,
        1.42576,
        1.4394,
        1.42585,
        1.4724,
        1.47821,
        1.4585,
        1.45795,
        1.45854,
        1.49374,
        1.45856,
        1.47122,
        1.47493,
        1.44476,
        1.51687,
        1.45685,
        1.42983,
        1.48257,
        1.46718,
        1.46605,
        1.47881,
        1.41333,
        1.45397,
        1.44264,
        1.42364,
        1.42661,
        1.42884,
        1.44129,
        1.44976,
        1.47189,
        1.49789,
        1.43533,
        1.4481,
        1.43653,
        1.48827,
        1.46338,
        1.45622,
        1.4376,
        1.43455,
        1.4585,
        1.48977,
        1.41859,
        1.42268,
        1.43211,
        1.43301,
        1.41759,
        1.43798,
        1.47137,
        1.46206,
        1.47105,
        1.48828,
        1.51823,
        1.45743,
        1.46165,
        1.47422,
        1.46402,
        1.4839,
        1.47155,
        1.50204,
        1.52197,
        1.50346,
        1.46684,
        1.48505,
        1.50024,
        1.45954,
        1.44593,
        1.48922,
        1.41505,
        1.40773,
        1.47601,
        1.43067,
        1.46082,
        1.50601,
        1.44302,
        1.47712,
        1.47744,
        1.48212,
        1.47237,
        1.4686,
        1.47926,
        1.47633,
        1.49026,
        1.46426,
        1.4734,
        1.50217,
        1.47077,
        1.47545,
        1.51748,
        1.49821,
        1.50347,
        1.49141,
        1.48681,
        1.45505,
        1.49329,
        1.47507,
        1.4881,
        1.49615,
        1.47823,
        1.47224,
        1.48213,
        1.46811,
        1.47678,
        1.47469,
        1.48358,
        1.46051,
        1.52522,
        1.49814,
        1.45777,
        1.50271,
        1.53169,
        1.51218,
        1.5139,
        1.48132,
        1.51322,
        1.47366,
        1.52258,
        1.51212,
        1.5234,
        1.49217,
        1.48275,
        1.43842,
        1.49601,
        1.52178,
        1.46733,
        1.45958,
        1.49718,
        1.50949,
        1.48783,
        1.48897,
        1.48711,
        1.48544,
        1.45503,
        1.47396,
        1.48547,
        1.53806,
        1.56561,
        1.49518,
        1.5132,
        1.47604,
        1.51761,
        1.53688,
        1.522,
        1.47787,
        1.48745,
        1.51255,
        1.5877,
        1.56819,
        1.49908,
        1.46025,
        1.549,
        1.50731,
        1.44247,
        1.46001,
        1.47875,
        1.45745,
        1.47063,
        1.51316,
        1.51183,
        1.46733,
        1.49083,
        1.50342,
        1.41664,
        1.48197,
        1.51779,
        1.51722,
        1.51234,
        1.51038,
        1.47662,
        1.50053,
        1.488,
        1.47373,
        1.45856,
        1.44917,
        1.50222,
        1.50936,
        1.47058,
        1.45106,
        1.47157,
        1.44907,
        1.45741,
        1.4918,
        1.47732,
        1.48906,
        1.47309,
        1.48277,
        1.4427,
        1.43064,
        1.4746,
        1.50975,
        1.46298,
        1.50305,
        1.46032,
        1.44263,
        1.4485,
        1.47497,
        1.44,
        1.44214,
        1.4534,
        1.47232,
        1.44746,
        1.48629,
        1.52335,
        1.51431,
        1.47398,
        1.45422,
        1.43284,
        1.47572,
        1.4782,
        1.49211,
        1.53948,
        1.45379,
        1.47799,
        1.41304,
        1.4032,
        1.46892,
        1.4506,
        1.49387,
        1.4674,
        1.42897,
        1.46096,
        1.47822,
        1.47204,
        1.41545,
        1.4225,
        1.50561,
        1.47645,
        1.41326,
        1.44724,
        1.49137,
        1.44254,
        1.43884,
        1.48544,
        1.45045,
        1.47284,
        1.46552,
        1.43164,
        1.39759,
        1.43622,
        1.4119,
        1.4969,
        1.45362,
        1.4743,
        1.50441,
        1.49702,
        1.41343,
        1.4857,
        1.47821,
        1.45575,
        1.49768,
        1.49765,
        1.47878,
        1.46898,
        1.46087,
        1.5061,
        1.50564,
        1.45935,
        1.44893,
        1.47868,
        1.5231,
        1.47191,
        1.4713,
        1.48711,
        1.48403,
        1.4809,
        1.52137,
        1.46012,
        1.52639,
        1.47301,
        1.51666,
        1.46772,
        1.48662,
        1.49793,
        1.52762,
        1.55162,
        1.56385,
        1.49867,
        1.52535,
        1.55842,
        1.52803,
        1.54785,
        1.5617,
        1.60568,
        1.62444,
        1.61189,
        1.57762,
        1.63849,
        1.6495,
        1.5931,
        1.57177,
        1.61222,
        1.62308,
        1.63681,
        1.57931,
        1.60528,
        1.6148,
        1.60208,
        1.67056,
        1.64398,
        1.63733,
        1.65429,
        1.61152,
        1.69215,
        1.70765,
        1.61465,
        1.63115,
        1.65463,
        1.38997,
        1.30771,
        1.39279,
        1.47094,
        1.48231,
        1.46852,
        1.47455,
        1.66789,
        2.03923,
        2.14617,
        2.34424,
        1.43453,
        1.6121,
        1.7106,
        1.62308,
        1.62512,
        1.65519,
        1.60084,
        1.63273,
        1.49591,
        1.49002,
        1.59897,
        1.49559,
        1.50558,
        1.5319,
        1.50111,
        1.55519,
        1.50426,
        1.4799,
        1.42696,
        1.46953,
        1.50815,
        1.56642,
        1.5232,
        1.45853,
        1.47603,
        1.51977,
        1.48656,
        1.52711,
        1.52081,
        1.48814,
        1.48237,
        1.48265,
        1.47674,
        1.45875,
        1.47818,
        1.42238,
        1.46965,
        1.53399,
        1.4705,
        1.51366,
        1.48409,
        1.46701,
        1.51163,
        1.54154,
        1.44631,
        1.43869,
        1.47842,
        1.50202,
        1.47205,
        1.45601,
        1.43595,
        1.47997,
        1.45534,
        1.49403,
        1.4607,
        1.47094,
        1.43906,
        1.4585,
        1.51526,
        1.49102,
        1.45242,
        1.44336,
        1.44285,
        1.47081,
        1.45677,
        1.50561,
        1.445,
        1.45886,
        1.44029,
        1.4273,
        1.47578,
        1.45609,
        1.45512,
        1.4948,
        1.47977,
        1.49681,
        1.46877,
        1.38542,
        1.4747,
        1.4295,
        1.48867,
        1.5005,
        1.4664,
        1.49143,
        1.46944,
        1.48028,
        1.45629,
        1.52186,
        1.44502,
        1.49723,
        1.48332,
        1.4211,
        1.45348,
        1.56496,
        1.5045,
        1.49719,
        1.48829,
        1.44768,
        1.50063,
        1.41998,
        1.41698,
        1.49707,
        1.48344,
        1.47425,
        1.47857,
        1.49876,
        1.49348,
        1.43581,
        1.48194,
        1.46931,
        1.50392,
        1.42842,
        1.46985,
        1.46725,
        1.47124,
        1.40066,
        1.46588,
        1.48668,
        1.48189,
        1.42723,
        1.40441,
        1.46038,
        1.48604,
        1.45432,
        1.45485,
        null,
        1.48514,
        1.48718,
        1.47939,
        1.49643,
        1.5324,
        1.50925,
        1.47929,
        1.45035,
        1.45699,
        1.48582,
        1.45837,
        1.46627,
        1.49783,
        1.50748,
        1.52174,
        1.49304,
        1.51199,
        1.5001,
        1.49128,
        1.47752,
        1.44723,
        1.44017,
        1.48524,
        1.49519,
        1.42901,
        1.4317,
        1.44309,
        1.45842,
        1.46596,
        1.46224,
        1.45251,
        1.43885,
        1.4463,
        1.46037,
        1.5015,
        1.49939,
        1.48629,
        1.4763,
        1.46488,
        1.4882,
        1.48219,
        1.49483,
        1.49881,
        1.49907,
        1.47499,
        1.48236,
        1.47804,
        1.49946,
        1.4961,
        1.5197,
        1.49029,
        1.47296,
        1.47618,
        1.47395,
        1.48438,
        1.49458,
        1.50187,
        1.46774,
        1.47793,
        1.51401,
        1.49319,
        1.46063,
        1.4584,
        1.44121,
        1.45429,
        1.48446,
        1.51444,
        1.48919,
        1.482,
        1.48483,
        1.51038,
        1.5345,
        1.51207,
        1.50286,
        1.51222,
        1.49562,
        1.47,
        1.48529,
        1.50204,
        1.49601,
        1.4906,
        1.49472,
        1.52369,
        1.49649,
        1.48796,
        1.4822,
        1.50663,
        1.53057,
        1.52689,
        1.55544,
        1.52302,
        1.48374,
        1.50161,
        1.50722,
        1.57676,
        1.6052,
        1.5798,
        1.59598,
        1.62089,
        1.61258,
        1.58699,
        1.63228,
        1.64997,
        1.66045,
        1.65298,
        1.63929,
        1.64182,
        1.59812,
        1.62401,
        1.68338,
        1.63478,
        1.64262,
        1.61304,
        1.61247,
        1.59991,
        1.60879,
        1.58892,
        1.54417,
        1.37641,
        1.02865,
        0.782052,
        0.778563,
        0.966862,
        1.14514,
        1.42123,
        1.63701,
        1.53539,
        1.42848,
        1.62283,
        1.59005,
        1.57508,
        1.66626,
        1.68905,
        1.50666,
        1.58673,
        1.61303,
        1.61568,
        1.58311,
        1.57019,
        1.57854,
        1.55186,
        1.52789,
        1.52365,
        1.52171,
        1.52344,
        1.51717,
        1.52478,
        1.53809,
        1.51155,
        1.51654,
        1.46792,
        1.47365,
        1.47846,
        1.51534,
        1.49518,
        1.47876,
        1.49033,
        1.51868,
        1.50297,
        1.4966,
        1.53133,
        1.53668,
        1.52745,
        1.53138,
        1.54605,
        1.50722,
        1.49239,
        1.48157,
        1.46335,
        1.46626,
        1.49036,
        1.49649,
        1.49361,
        1.50587,
        1.52412,
        1.52364,
        1.47364,
        1.46837,
        1.50013,
        1.48525,
        1.49438,
        1.50312,
        1.48054,
        1.48971,
        1.52296,
        1.4955,
        1.46291,
        1.49601,
        1.50718,
        1.49531,
        1.49015,
        1.49218,
        1.48014,
        1.49491,
        1.51476,
        1.51772,
        1.50594,
        1.48869,
        1.48758,
        1.45016,
        1.4875,
        1.52535,
        1.53098,
        1.49486,
        1.4844,
        1.5028,
        1.49322,
        1.51558,
        1.52135,
        1.51042,
        1.50834,
        1.51197,
        1.48313,
        1.47917,
        1.52051,
        1.5532,
        1.53249,
        1.57741,
        1.56291,
        1.56999,
        1.52559,
        1.51619,
        1.56594,
        1.56856,
        1.49345,
        1.52902,
        1.51881,
        1.48422,
        1.4773,
        1.50432,
        1.53738,
        1.51554,
        1.50396,
        1.51592,
        1.51982,
        1.50006,
        1.50488,
        1.51311,
        1.52123,
        1.53257,
        1.49918,
        1.47999,
        1.52423,
        1.53967,
        1.52695,
        1.50987,
        1.51799,
        1.50184,
        1.52229,
        1.52313,
        1.52622,
        1.52064,
        1.51366,
        1.5069,
        1.52337,
        1.50253,
        1.5496,
        1.53617,
        1.5142,
        1.52173,
        1.52809,
        1.49755,
        1.51004,
        1.51818,
        1.51432,
        1.54392,
        1.50803,
        1.5234,
        1.51023,
        1.51715,
        1.52266,
        1.51607,
        1.55353,
        1.55412,
        1.52903,
        1.54684,
        1.54809,
        1.53191,
        1.54369,
        1.49893,
        1.5261,
        1.53496,
        1.54744,
        1.5497,
        1.53571,
        1.52167,
        1.51064,
        1.52381,
        1.51541,
        1.5288,
        1.52668,
        1.5122,
        1.5237,
        1.50554,
        1.52065,
        1.50029,
        1.49697,
        1.55266,
        1.5377,
        1.53839,
        1.50818,
        1.51898,
        1.54044,
        1.55289,
        1.56697,
        1.55551,
        1.53863,
        1.52179,
        1.52408,
        1.52331,
        1.503,
        1.49966,
        1.52195,
        1.53125,
        1.51751,
        1.51749,
        1.52538,
        1.52074,
        1.50805,
        1.48249,
        1.49388,
        1.5518,
        1.53814,
        1.50092,
        1.48427,
        1.48266,
        1.52022,
        1.49493,
        1.51627,
        1.5275,
        1.53066,
        1.44436,
        1.45077,
        1.45567,
        1.52291,
        1.53265,
        1.44145,
        1.51539,
        1.45135,
        1.32842,
        1.34818,
        1.33437,
        1.0288,
        1.40861,
        1.46085,
        1.27402,
        1.44774,
        1.48349,
        1.45703,
        1.4602,
        1.42932,
        1.50696,
        1.49,
        1.50531,
        1.52774,
        1.51725,
        1.50367,
        1.51608,
        1.52504,
        1.51423,
        1.47057,
        1.51298,
        1.52159,
        1.5038,
        1.50196,
        1.5014,
        1.49561,
        1.50609,
        1.52399,
        1.53445,
        1.49027,
        1.47795,
        1.46978,
        1.47655,
        1.49224,
        1.51885,
        1.51935,
        1.50629,
        1.5061,
        1.50321,
        1.50738,
        1.52904,
        1.51384,
        1.52024,
        1.51091,
        1.53294,
        1.50644,
        1.48814,
        1.49045,
        1.49404,
        1.5303,
        1.53707,
        1.49155,
        1.49139,
        1.49319,
        1.49083,
        1.52366,
        1.50723,
        1.51735,
        1.53631,
        1.54753,
        1.50849,
        1.50313,
        1.50799,
        1.52619,
        1.50013,
        1.50252,
        1.5197,
        1.5297,
        1.51592,
        1.52221,
        1.52146,
        1.49388,
        1.51114,
        1.54454,
        1.53084,
        1.5101,
        1.52731,
        1.51592,
        1.52178,
        1.54628,
        1.52135,
        1.54968,
        1.54352,
        1.50459,
        1.50067,
        1.52658,
        1.50155,
        1.51866,
        1.51021,
        1.51614,
        1.50913,
        1.53131,
        1.50788,
        1.46575,
        1.52921,
        1.51841,
        1.53657,
        1.52586,
        1.52797,
        1.54166,
        1.51504,
        1.50588,
        1.51047,
        1.50847,
        1.56883,
        1.55337,
        1.54355,
        1.51526,
        1.526,
        1.56263,
        1.51775,
        1.53812,
        1.5402,
        1.5538,
        1.59183,
        1.53759,
        1.54616,
        1.54862,
        1.55848,
        1.56571,
        1.56,
        1.53967,
        1.53945,
        1.52662,
        1.55521,
        1.57493,
        1.58393,
        1.50337,
        1.56151,
        1.56754,
        1.56127,
        1.56381,
        1.54197,
        1.55323,
        1.58761,
        1.58922,
        1.56634,
        1.55651,
        1.5015,
        1.49753,
        1.5046,
        1.5498,
        1.5929,
        1.58888,
        1.58299,
        1.60083,
        1.5938,
        1.57809,
        1.58071,
        1.56719,
        1.63813,
        1.63355,
        1.63733,
        1.62388,
        1.65677,
        1.66069,
        1.69468,
        1.69065,
        1.68854,
        1.68551,
        1.65165,
        1.66416,
        1.63024,
        1.64856,
        1.6575,
        1.66523,
        1.62549,
        1.63196,
        1.63417,
        1.69757,
        1.66987,
        1.52312,
        1.30827,
        1.03311,
        0.68153,
        0.444521,
        0.422415,
        0.670728,
        1.01033,
        1.36798,
        1.59082,
        1.67202,
        1.72407,
        1.83429,
        1.37275,
        2.19877,
        1.70993,
        1.63412,
        1.69828,
        1.68897,
        1.71859,
        1.77782,
        1.7115,
        1.63579,
        1.63728,
        1.59462,
        1.62537,
        1.58941,
        1.65282,
        1.66787,
        1.64046,
        1.60555,
        1.61482,
        1.62311,
        1.59615,
        1.62246,
        1.65801,
        1.62541,
        1.59383,
        1.57801,
        1.58394,
        1.56814,
        1.59286,
        1.59256,
        1.5897,
        1.61696,
        1.6121,
        1.59263,
        1.60728,
        1.60408,
        1.5873,
        1.59548,
        1.61812,
        1.59256,
        1.58358,
        1.57637,
        1.58623,
        1.60244,
        1.59377,
        1.57511,
        1.6103,
        1.6196,
        1.583,
        1.57251,
        1.59039,
        1.60004,
        1.58329,
        1.60901,
        1.652,
        1.62127,
        1.64874,
        1.64313,
        1.60173,
        1.59605,
        1.59304,
        1.6139,
        1.63571,
        1.62552,
        1.60211,
        1.57737,
        1.60935,
        1.61148,
        1.60791,
        1.62475,
        1.60929,
        1.58541,
        1.5983,
        1.60456,
        1.58742,
        1.61421,
        1.60034,
        1.58273,
        1.59424,
        1.58828,
        1.6006,
        1.60707,
        1.61927,
        1.62518,
        1.5864,
        1.59685,
        1.60354,
        1.57969,
        1.58577,
        1.60056,
        1.60559,
        1.58274,
        1.60473,
        1.6032,
        1.61377,
        1.62678,
        1.63279,
        1.66546,
        1.62775,
        1.63854,
        1.62776,
        1.63255,
        1.65277,
        1.65865,
        1.62852,
        1.62842,
        1.61007,
        1.62812,
        1.62786,
        1.64412,
        1.63521,
        1.61592,
        1.60247,
        1.65117,
        1.66323,
        1.70393,
        1.6894,
        1.66877,
        1.65542,
        1.68111,
        1.68413,
        1.69207,
        1.67544,
        1.67607,
        1.66465,
        1.68632,
        1.69156,
        1.65985,
        1.69207,
        1.65517,
        1.69875,
        1.71879,
        1.70912,
        1.73243,
        1.71978,
        1.69858,
        1.70411,
        1.7065,
        1.70081,
        1.69503,
        1.68812,
        1.67935,
        1.70429,
        1.70499,
        1.69981,
        1.70285,
        1.72042,
        1.68676,
        1.69836,
        1.68089,
        1.74104,
        1.73166,
        1.76345,
        1.70982,
        1.71922,
        1.69486,
        1.72822,
        1.7433,
        1.74175,
        1.74345,
        1.765,
        1.7484,
        1.72561,
        1.7344,
        1.77248,
        1.73978,
        1.73978,
        1.74422,
        1.74877,
        1.73234,
        1.72363,
        1.7512,
        1.73239,
        1.75186,
        1.72417,
        1.74409,
        1.74884,
        1.75525,
        1.68823,
        1.71745,
        1.75749,
        1.74883,
        1.69949,
        1.7397,
        1.70672,
        1.74121,
        1.70894,
        1.67567,
        1.7157,
        1.72493,
        1.72223,
        1.74246,
        1.73789,
        1.73623,
        1.74968,
        1.71493,
        1.71968,
        1.71908,
        1.74113,
        1.69849,
        1.73121,
        1.76436,
        1.71507,
        1.73855,
        1.71977,
        1.71411,
        1.73082,
        1.74249,
        1.58408,
        1.70252,
        1.68768,
        1.71281,
        1.74526,
        1.73011,
        1.72221,
        1.74616,
        1.71237,
        1.72876,
        1.74271,
        1.70739,
        1.65743,
        1.71637,
        1.70156,
        1.73084,
        1.74506,
        1.72036,
        1.74021,
        1.73973,
        1.73226,
        1.72938,
        1.72221,
        1.74199,
        1.77857,
        1.75877,
        1.71893,
        1.69796,
        1.71345,
        1.73464,
        1.72623,
        1.71407,
        1.71958,
        1.71552,
        1.72425,
        1.74064,
        1.72438,
        1.67894,
        1.63468,
        1.6818,
        1.67855,
        1.70563,
        1.71967,
        1.70561,
        1.71395,
        1.69079,
        1.6615,
        1.65941,
        1.66603,
        1.67658,
        1.6802,
        1.66108,
        1.6436,
        1.65411,
        1.62642,
        1.62361,
        1.67935,
        1.68916,
        1.69237,
        1.66907,
        1.64602,
        1.645,
        1.60859,
        1.67082,
        1.6643,
        1.65896,
        1.65941,
        1.66882,
        1.66389,
        1.66274,
        1.67649,
        1.66978,
        1.64723,
        1.62578,
        1.66651,
        1.66941,
        1.67253,
        1.70731,
        1.62615,
        1.62305,
        1.65737,
        1.62833,
        1.62452,
        1.64997,
        1.6422,
        1.63154,
        1.60893,
        1.64289,
        1.68285,
        1.70653,
        1.6682,
        1.62257,
        1.63784,
        1.67446,
        1.6507,
        1.64152,
        1.64881,
        1.65532,
        1.6633,
        1.66107,
        1.64795,
        1.65347,
        1.62151,
        1.63567,
        1.63147,
        1.62856,
        1.59482,
        1.60459,
        1.63972,
        1.59648,
        1.61847,
        1.62377,
        1.59219,
        1.61224,
        1.62427,
        1.62878,
        1.61769,
        1.60427,
        1.63154,
        1.61414,
        1.59771,
        1.59565,
        1.62034,
        1.57939,
        1.603,
        1.62321,
        1.60683,
        1.63219,
        1.60185,
        1.61769,
        1.59001,
        1.58963,
        1.61849,
        1.62345,
        1.59029,
        1.60334,
        1.57169,
        1.60501,
        1.61183,
        1.58291,
        1.61945,
        1.61721,
        1.63498,
        1.62774,
        1.59283,
        1.59575,
        1.59905,
        1.59906,
        1.62232,
        1.60452,
        1.63026,
        1.62514,
        1.58619,
        1.61361,
        1.61307,
        1.56925,
        1.62599,
        1.59888,
        1.58548,
        1.58056,
        1.62234,
        1.64768,
        1.61558,
        1.60512,
        1.60993,
        1.61585,
        1.63173,
        1.65751,
        1.61577,
        1.5675,
        1.59418,
        1.64651,
        1.56594,
        1.54073,
        1.53924,
        1.42574,
        1.59503,
        1.67036,
        1.63386,
        1.63726,
        1.62651,
        1.71038,
        1.67441,
        1.66586,
        1.67295,
        1.67856,
        1.6686,
        1.67195,
        1.66104,
        1.68311,
        1.67798,
        1.66351,
        1.69505,
        1.67443,
        1.67087,
        1.71272,
        1.6685,
        1.57438,
        1.3698,
        1.10598,
        0.804991,
        0.475299,
        0.340139,
        0.419799,
        0.7086,
        1.11111,
        1.36446,
        1.52506,
        1.61566,
        1.73624,
        1.64159,
        1.63302,
        1.61062,
        1.74864,
        1.67875,
        1.68846,
        1.69002,
        1.68154,
        1.73525,
        1.66991,
        1.65184,
        1.6788,
        1.63584,
        1.60476,
        1.54716,
        1.59028,
        1.60764,
        1.57652,
        1.58758,
        1.60298,
        1.62842,
        1.568,
        1.56726,
        1.55762,
        1.567,
        1.59935,
        1.56589,
        1.56198,
        1.54221,
        1.5455,
        1.54692,
        1.52584,
        1.53867,
        1.51117,
        1.53962,
        1.54238,
        1.53286,
        1.51826,
        1.58709,
        1.58582,
        1.5267,
        1.52635,
        1.53668,
        1.52806,
        1.54695,
        1.52883,
        1.50345,
        1.53191,
        1.51726,
        1.56454,
        1.55575,
        1.53822,
        1.54442,
        1.53375,
        1.49733,
        1.54995,
        1.5587,
        1.57251,
        1.54497,
        1.53794,
        1.53283,
        1.54402,
        1.50007,
        1.52205,
        1.52903,
        1.50651,
        1.5396,
        1.56282,
        1.53025,
        1.49487,
        1.5463,
        1.55683,
        1.52659,
        1.53456,
        1.5308,
        1.5355,
        1.53578,
        1.53486,
        1.52786,
        1.50815,
        1.52401,
        1.52176,
        1.50831,
        1.47079,
        1.49254,
        1.5217,
        1.54658,
        1.53666,
        1.56119,
        1.54923,
        1.54239,
        1.53545,
        1.55095,
        1.53494,
        1.56321,
        1.52914,
        1.55932,
        1.5478,
        1.55657,
        1.55588,
        1.54958,
        1.53212,
        1.52245,
        1.554,
        1.53421,
        1.52447,
        1.54851,
        1.51971,
        1.54393,
        1.55971,
        1.55804,
        1.53846,
        1.56867,
        1.56753,
        1.54948,
        1.50216,
        1.51858,
        1.55035,
        1.53121,
        1.56873,
        1.56913,
        1.58308,
        1.57563,
        1.54366,
        1.5078,
        1.54495,
        1.57563,
        1.52842,
        1.50576,
        1.54218,
        1.5668,
        1.51302,
        1.52149,
        1.54049,
        1.54683,
        1.55622,
        1.57208,
        1.55595,
        1.53335,
        1.52282,
        1.53838,
        1.49714,
        1.50296,
        1.52418,
        1.50803,
        1.5032,
        1.53822,
        1.51971,
        1.49697,
        1.50857,
        1.51311,
        1.50492,
        1.55532,
        1.50775,
        1.50417,
        1.51012,
        1.52364,
        1.5316,
        1.49563,
        1.50146,
        1.5064,
        1.49672,
        1.54468,
        1.50248,
        1.46877,
        1.48309,
        1.49848,
        1.57656,
        1.51878,
        1.48785,
        1.45274,
        1.48993,
        1.49014,
        1.52354,
        1.49824,
        1.49455,
        1.42898,
        1.45782,
        1.39332,
        1.5026,
        1.50546,
        1.50759,
        1.46656,
        1.34752,
        1.44503,
        1.35549,
        1.06387,
        1.48797,
        1.47551,
        1.4422,
        1.50026,
        1.5246,
        1.4661,
        1.47378,
        1.47827,
        1.38585,
        1.47754,
        1.51044,
        1.53653,
        1.51333,
        1.46132,
        1.4644,
        1.49027,
        1.47568,
        1.52667,
        1.50587,
        1.4596,
        1.4747,
        1.51277,
        1.51622,
        1.52825,
        1.5093,
        1.48416,
        1.50122,
        1.52355,
        1.50448,
        1.51777,
        1.53423,
        1.52993,
        1.5163,
        1.53189,
        1.47806,
        1.47606,
        1.46211,
        1.4705,
        1.51654,
        1.51289,
        1.53103,
        1.54464,
        1.51762,
        1.49448,
        1.50176,
        1.5199,
        1.52069,
        1.51306,
        1.51772,
        1.5002,
        1.52214,
        1.53159,
        1.53813,
        1.56186,
        1.55994,
        1.51356,
        1.49007,
        1.50828,
        1.50483,
        1.52249,
        1.49813,
        1.52233,
        1.51573,
        1.4974,
        1.52501,
        1.52087,
        1.48867,
        1.48075,
        1.52862,
        1.49333,
        1.48302,
        1.48955,
        1.48837,
        1.46424,
        1.50388,
        1.50539,
        1.4806,
        1.5007,
        1.51302,
        1.51107,
        1.49562,
        1.48064,
        1.48924,
        1.47965,
        1.51828,
        1.52862,
        1.5257,
        1.5083,
        1.49053,
        1.50059,
        1.50724,
        1.4922,
        1.49545,
        1.47287,
        1.50663,
        1.53041,
        1.49823,
        1.51529,
        1.49476,
        1.51764,
        1.52866,
        1.50944,
        1.45837,
        1.47827,
        1.51274,
        1.49164,
        1.52095,
        1.51587,
        1.51515,
        1.49791,
        1.52652,
        1.48137,
        1.49383,
        1.51606,
        1.49448,
        1.48686,
        1.51919,
        1.49188,
        1.50656,
        1.52668,
        1.49344,
        1.53239,
        1.50271,
        1.49059,
        1.50794,
        1.53777,
        1.54709,
        1.52789,
        1.53412,
        1.52726,
        1.50467,
        1.5112,
        1.5417,
        1.56762,
        1.52541,
        1.49978,
        1.52219,
        1.54243,
        1.52804,
        1.51504,
        1.53243,
        1.54274,
        1.51775,
        1.51929,
        1.55012,
        1.49878,
        1.50455,
        1.51695,
        1.49365,
        1.52427,
        1.53438,
        1.50613,
        1.53619,
        1.54497,
        1.53295,
        1.52884,
        1.54018,
        1.55811,
        1.52935,
        1.51943,
        1.50852,
        1.51139,
        1.52295,
        1.59031,
        1.55278,
        1.5376,
        1.52554,
        1.52312,
        1.53261,
        1.53538,
        1.5516,
        1.54035,
        1.53592,
        1.50091,
        1.50228,
        1.52461,
        1.50399,
        1.51822,
        1.52004,
        1.50968,
        1.51317,
        1.49935,
        1.52415,
        1.51159,
        1.51789,
        1.5249,
        1.49522,
        1.50684,
        1.51453,
        1.51869,
        1.52006,
        1.51442,
        1.5366,
        1.52195,
        1.53954,
        1.51127,
        1.45868,
        1.49611,
        1.50998,
        1.52089,
        1.51146,
        1.52238,
        1.50702,
        1.51798,
        1.52553,
        1.50705,
        1.52694,
        1.53626,
        1.51086,
        1.52499,
        1.54305,
        1.51299,
        1.46161,
        1.48193,
        1.54162,
        1.50182,
        1.49524,
        1.51349,
        1.48232,
        1.48419,
        1.48557,
        1.50197,
        1.50039,
        1.51859,
        1.51145,
        1.51938,
        1.5041,
        1.52138,
        1.49461,
        1.48842,
        1.50703,
        1.52695,
        1.52545,
        1.53652,
        1.54552,
        1.51557,
        1.47593,
        1.50488,
        1.4735,
        1.49866,
        1.49646,
        1.51582,
        1.52633,
        1.53001,
        1.51316,
        1.51164,
        1.50924,
        1.53674,
        1.50174,
        1.50924,
        1.49858,
        1.52555,
        1.52892,
        1.53944,
        1.53996,
        1.54224,
        1.51545,
        1.51752,
        1.53533,
        1.51367,
        1.49309,
        1.51741,
        1.51094,
        1.53502,
        1.53435,
        1.52742,
        1.52489,
        1.55294,
        1.50021,
        1.51863,
        1.49893,
        1.50039,
        1.54784,
        1.50839,
        1.50652,
        1.53172,
        1.52865,
        1.51421,
        1.51347,
        1.50669,
        1.5274,
        1.54059,
        1.52517,
        1.51307,
        1.50725,
        1.5302,
        1.54979,
        1.51873,
        1.52276,
        1.52869,
        1.57022,
        1.54069,
        1.53823,
        1.51282,
        1.53998,
        1.5444,
        1.56418,
        1.56693,
        1.56033,
        1.54691,
        1.53833,
        1.51145,
        1.49939,
        1.49981,
        1.52195,
        1.51184,
        1.51882,
        1.52472,
        1.55318,
        1.55147,
        1.51013,
        1.5041,
        1.56693,
        1.5763,
        1.56043,
        1.51,
        1.53922,
        1.54032,
        1.55661,
        1.57579,
        1.54036,
        1.57464,
        1.58542,
        1.51634,
        1.51881,
        1.5404,
        1.49268,
        1.52791,
        1.55508,
        1.54764,
        1.55351,
        1.51327,
        1.52977,
        1.57412,
        1.54199,
        1.49631,
        1.53743,
        1.54149,
        1.5431,
        1.56317,
        1.50528,
        1.53373,
        1.5423,
        1.55117,
        1.53709,
        1.53007,
        1.59768,
        1.55513,
        1.55046,
        1.51104,
        1.52596,
        1.51754,
        1.56954,
        1.53065,
        1.53299,
        1.57454,
        1.52222,
        1.52078,
        1.57097,
        1.57051,
        1.58248,
        1.54359,
        1.49086,
        1.53211,
        1.4951,
        1.51068,
        1.54492,
        1.5156,
        1.52305,
        1.531,
        1.63721,
        1.60564,
        1.54466,
        1.51023,
        1.48415,
        1.56249,
        1.51535,
        1.56949,
        1.55835,
        1.49816,
        1.50965,
        1.50869,
        1.53785,
        1.53336,
        1.52018,
        1.51503,
        1.55882,
        1.54015,
        1.48031,
        1.51694,
        1.5052,
        1.55637,
        1.53543,
        1.49598,
        1.52534,
        1.52501,
        1.51997,
        1.5103,
        1.48123,
        1.49352,
        1.51116,
        1.51751,
        1.55411,
        1.55526,
        1.47871,
        1.53721,
        1.52133,
        1.50512,
        1.48451,
        1.51972,
        1.48067,
        1.5216,
        1.54336,
        1.51486,
        1.54699,
        1.51084,
        1.52404,
        1.54824,
        1.52701,
        1.51309,
        1.48345,
        1.55009,
        1.50997,
        1.57228,
        1.55262,
        1.55295,
        1.52259,
        1.53336,
        1.52195,
        1.50937,
        1.55278,
        1.54929,
        1.56081,
        1.51283,
        1.54523,
        1.52382,
        1.50038,
        1.52533,
        1.50227,
        1.49573,
        1.46237,
        1.53707,
        1.54616,
        1.49016,
        1.49576,
        1.50064,
        1.51933,
        1.50724,
        1.52541,
        1.53856,
        1.53317,
        1.53551,
        1.55974,
        1.52624,
        1.53356,
        1.5379,
        1.54283,
        1.51513,
        1.53294,
        1.54534,
        1.53669,
        1.53102,
        1.50665,
        1.51319,
        1.54668,
        1.53816,
        1.53349,
        1.49698,
        1.52956,
        1.54216,
        1.52896,
        1.54546,
        1.52803,
        1.5111,
        1.51968,
        1.56735,
        1.52144,
        1.55307,
        1.55352,
        1.55269,
        1.53101,
        1.56592,
        1.55306,
        1.58198,
        1.54782,
        1.54323,
        1.53976,
        1.57132,
        1.56955,
        1.55194,
        1.54807,
        1.53841,
        1.5487,
        1.54837,
        1.53686,
        1.57774,
        1.57241,
        1.53723,
        1.5354,
        1.52194,
        1.60051,
        1.55498,
        1.53237,
        1.51036,
        1.55704,
        1.56934,
        1.5728,
        1.59895,
        1.60065,
        1.59837,
        1.58692,
        1.56798,
        1.53222,
        1.58564,
        1.59283,
        1.57743,
        1.63178,
        1.59017,
        1.63837,
        1.53915,
        1.548,
        1.56356,
        1.548,
        1.5532,
        1.59111,
        1.58977,
        1.59181,
        1.65753,
        1.61835,
        1.56122,
        1.5544,
        1.58115,
        1.6076,
        1.60561,
        1.55407,
        1.5882,
        1.56233,
        1.54168,
        1.52823,
        1.55557,
        1.5663,
        1.60317,
        1.53042,
        1.58049,
        1.62671,
        1.63819,
        1.59982,
        1.5964,
        1.61688,
        1.57777,
        1.60213,
        1.61048,
        1.60589,
        1.65231,
        1.59138,
        1.59797,
        1.58511,
        1.58707,
        1.5989,
        1.55973,
        1.54699,
        1.58554,
        1.59509,
        1.61139,
        1.55811,
        1.56273,
        1.5399,
        1.53751,
        1.58919,
        1.54618,
        1.5489,
        1.5693,
        1.58179,
        1.59739,
        1.5565,
        1.53944,
        1.56907,
        1.55947,
        1.59379,
        1.57468,
        1.58134,
        1.52685,
        1.5706,
        1.51889,
        1.55388,
        1.5798,
        1.60119,
        1.55492,
        1.62863,
        1.59066,
        1.59281,
        1.57609,
        1.63575,
        1.57416,
        1.55639,
        1.53154,
        1.54719,
        1.60764,
        1.60283,
        1.54899,
        1.58518,
        1.5511,
        1.54,
        1.58203,
        1.56268,
        1.55357,
        1.57843,
        1.60914,
        1.58468,
        1.56475,
        1.61425,
        1.58667,
        1.53535,
        1.5493,
        1.58656,
        1.60559,
        1.56897,
        1.52211,
        1.56117,
        1.58863,
        1.59253,
        1.58241,
        1.58163,
        1.60147,
        1.61342,
        1.60211,
        1.59209,
        1.62888,
        1.61202,
        1.55861,
        1.59564,
        1.58128,
        1.57017,
        1.53088,
        1.59714,
        1.53979,
        1.59463,
        1.5698,
        1.60027,
        1.5865,
        1.6126,
        1.59845,
        1.60477,
        1.52598,
        1.52113,
        1.58302,
        1.55038,
        1.57771,
        1.56316,
        1.62245,
        1.59311,
        1.54173,
        1.56492,
        1.60541,
        1.56667,
        1.59974,
        1.54032,
        1.569,
        1.58348,
        1.53838,
        1.5837,
        1.53523,
        1.60819,
        1.61637,
        1.55218,
        1.58072,
        1.54356,
        1.55768,
        1.56639,
        1.57482,
        1.57575,
        1.5731,
        1.58624,
        1.55949,
        1.56008,
        1.57752,
        1.55848,
        1.48403,
        1.62561,
        1.66887,
        1.64247,
        1.5658,
        1.60111,
        1.61144,
        1.63636,
        1.68353,
        1.70759,
        1.66957,
        1.66271,
        1.64809,
        1.6576,
        1.68924,
        1.70734,
        1.62994,
        1.64754,
        1.65616,
        1.66093,
        1.61134,
        1.65177,
        1.64297,
        1.67834,
        1.68604,
        1.56668,
        1.65638,
        1.66334,
        1.46329,
        1.30179,
        0.949941,
        0.639804,
        0.430982,
        0.397919,
        0.681365,
        0.950199,
        1.21121,
        1.25228,
        1.67612,
        1.74176,
        1.91767,
        1.63753,
        1.64113,
        1.47359,
        1.59879,
        1.35559,
        1.66445,
        1.76004,
        1.54607,
        1.63582,
        1.5414,
        1.58321,
        1.64922,
        1.69619,
        1.10222,
        1.64842,
        1.63644,
        1.57979,
        1.60448,
        1.60856,
        1.48972,
        1.50828,
        1.61458,
        1.48964,
        1.50325,
        1.58307,
        1.57909,
        1.56086,
        1.56901,
        1.5492,
        1.56615,
        1.58119,
        1.55231,
        1.50083,
        1.53617,
        1.53247,
        1.54264,
        1.51678,
        1.54267,
        1.50691,
        1.5654,
        1.53571,
        1.58592,
        1.49008,
        1.59288,
        1.54789,
        1.60733,
        1.52758,
        1.49896,
        1.54997,
        1.54207,
        1.55538,
        1.57356,
        1.58506,
        1.55372,
        1.55402,
        1.56248,
        1.56827,
        1.59793,
        1.56857,
        1.53926,
        1.47028,
        1.49468,
        1.54507,
        1.54539,
        1.58483,
        1.50978,
        1.51649,
        1.57362,
        1.53292,
        1.58141,
        1.56311,
        1.54539,
        1.55727,
        1.47168,
        1.54419,
        1.58397,
        1.53268,
        1.5733,
        1.53256,
        1.51609,
        1.50821,
        1.54068,
        1.55632,
        1.52803,
        1.55656,
        1.54008,
        1.52749,
        1.51646,
        1.52183,
        1.55305,
        1.51083,
        1.48995,
        1.50615,
        1.51233,
        1.49361,
        1.46602,
        1.51692,
        1.4823,
        1.47973,
        1.51126,
        1.56137,
        1.48789,
        1.48424,
        1.48094,
        1.47841,
        1.58426,
        1.53899,
        1.5636,
        1.56043,
        1.57767,
        1.51863,
        1.49773,
        1.51511,
        1.54838,
        1.55647,
        1.525,
        1.57245,
        1.57848,
        1.46092,
        1.48694,
        1.45041,
        1.53285,
        1.49916,
        1.54085,
        1.5248,
        1.50186,
        1.53667,
        1.50485,
        1.5313,
        1.52079,
        1.51554,
        1.48912,
        1.51919,
        1.52335,
        1.49987,
        1.52029,
        1.5447,
        1.45828,
        1.53625,
        1.46323,
        1.37633,
        1.56443,
        1.54956,
        1.5382,
        1.52507,
        1.44767,
        1.46195,
        1.43084,
        1.5676,
        1.42361,
        1.5196,
        1.46114,
        1.53426,
        1.59944,
        1.35501,
        1.4408,
        1.5554,
        1.50796,
        1.46426,
        1.55828,
        1.51821,
        1.54796,
        1.47221,
        1.45266,
        1.54883,
        1.52509,
        1.54841,
        1.46284,
        null,
        1.50677,
        1.51691,
        1.45727,
        1.50533,
        1.56739,
        1.54286,
        1.55337,
        1.49734,
        1.43874,
        1.49237,
        1.48125,
        1.47368,
        1.51093,
        1.50345,
        1.46316,
        1.43869,
        1.43473,
        1.45005,
        1.41429,
        1.43603,
        1.43808,
        1.46729,
        1.4507,
        1.3643,
        1.41449,
        1.4578,
        1.40193,
        1.39735,
        1.42509,
        1.46046,
        1.46618,
        1.40017,
        1.39834,
        1.55091,
        1.57467,
        1.37646,
        1.33175,
        1.40375,
        1.46499,
        1.44438,
        1.42081,
        1.49848,
        1.46374,
        1.44725,
        1.48589,
        1.52363,
        1.57128,
        1.54141,
        1.47059,
        1.50892,
        1.49371,
        1.516,
        1.52377,
        1.50766,
        1.50153,
        1.55728,
        1.58488,
        1.56191,
        1.55068,
        1.57351,
        1.61176,
        1.62599,
        1.59205,
        1.60441,
        1.61223,
        1.58573,
        1.59525,
        1.63251,
        1.62169,
        1.57802,
        1.61973,
        1.60058,
        1.58362,
        1.60389,
        1.62313,
        1.64843,
        1.60254,
        1.64122,
        1.5754,
        1.42386,
        1.23201,
        0.937183,
        0.766547,
        0.89772,
        1.1661,
        1.39848,
        1.59634,
        1.62651,
        1.78306,
        1.8964,
        1.67683,
        1.49817,
        1.48041,
        1.66734,
        1.66956,
        1.57714,
        1.5813,
        1.54108,
        1.51505,
        1.56583,
        1.61854,
        1.61329,
        1.5682,
        1.59887,
        1.61001,
        1.58284,
        1.55267,
        1.56554,
        1.62586,
        1.58253,
        1.55725,
        1.57179,
        1.57318,
        1.53375,
        1.51165,
        1.52079,
        1.55317,
        1.55352,
        1.50589,
        1.51619,
        1.50598,
        1.52901,
        1.51641,
        1.52704,
        1.51979,
        1.51155,
        1.51868,
        1.51754,
        1.49635,
        1.4795,
        1.47675,
        1.48816,
        1.50381,
        1.48965,
        1.47761,
        1.45855,
        1.50709,
        1.53002,
        1.53865,
        1.52994,
        1.51969,
        1.49656,
        1.47393,
        1.50705,
        1.49986,
        1.49104,
        1.48305,
        1.48788,
        1.46591,
        1.45581,
        1.47569,
        1.48497,
        1.48827,
        1.50542,
        1.46626,
        1.44731,
        1.45908,
        1.46212,
        1.46947,
        1.51368,
        1.50081,
        1.4793,
        1.48312,
        1.49133,
        1.50602,
        1.49259,
        1.4875,
        1.49589,
        1.48445,
        1.49477,
        1.51348,
        1.47173,
        1.46999,
        1.49842,
        1.47796,
        1.50104,
        1.50445,
        1.51971,
        1.5102,
        1.49293,
        1.4868,
        1.46466,
        1.45951,
        1.45402,
        1.46524,
        1.48114,
        1.50768,
        1.49246,
        1.4806,
        1.49876,
        1.51026,
        1.51699,
        1.52039,
        1.5297,
        1.49005,
        1.4935,
        1.5273,
        1.49322,
        1.49914,
        1.51597,
        1.49077,
        1.52031,
        1.52884,
        1.52296,
        1.46419,
        1.50393,
        1.5338,
        1.51069,
        1.49518,
        1.51795,
        1.49025,
        1.48176,
        1.49617,
        1.49868,
        1.50493,
        1.49456,
        1.53117,
        1.48815,
        1.52195,
        1.52783,
        1.53088,
        1.54797,
        1.5577,
        1.51327,
        1.49993,
        1.52472,
        1.51591,
        1.52475,
        1.52105,
        1.478,
        1.49734,
        1.49419,
        1.47483,
        1.49981,
        1.51387,
        1.48356,
        1.48541,
        1.48798,
        1.51837,
        1.52649,
        1.53354,
        1.51482,
        1.48646,
        1.46724,
        1.48808,
        1.4688,
        1.46232,
        1.48708,
        1.47667,
        1.44911,
        1.44665,
        1.46806,
        1.45875,
        1.48347,
        1.49912,
        1.4978,
        1.48079,
        1.46022,
        1.44941,
        1.47748,
        1.49911,
        1.49414,
        1.49978,
        1.4875,
        1.46225,
        1.47438,
        1.4809,
        1.49596,
        1.49457,
        1.49471,
        1.4824,
        1.4858,
        1.4585,
        1.46865,
        1.49123,
        1.47392,
        1.47573,
        1.49644,
        1.49301,
        1.48026,
        1.49551,
        1.49952,
        1.48494,
        1.46937,
        1.44873,
        1.46319,
        1.48027,
        1.48831,
        1.4757,
        1.50692,
        1.50595,
        1.50422,
        1.49776,
        1.47211,
        1.48185,
        1.4985,
        1.4587,
        1.47374,
        1.48571,
        1.48343,
        1.49473,
        1.47678,
        1.5058,
        1.48045,
        1.49064,
        1.5111,
        1.50666,
        1.51817,
        1.50671,
        1.48331,
        1.47282,
        1.50453,
        1.48846,
        1.4703,
        1.48707,
        1.51238,
        1.50965,
        1.47983,
        1.48774,
        1.47997,
        1.46114,
        1.47449,
        1.46275,
        1.47037,
        1.4641,
        1.49124,
        1.48079,
        1.48229,
        1.46443,
        1.47499,
        1.48592,
        1.5182,
        1.50786,
        1.46882,
        1.50215,
        1.5265,
        1.48825,
        1.50057,
        1.48649,
        1.5013,
        1.50192,
        1.49015,
        1.46124,
        1.50729,
        1.49651,
        1.51443,
        1.5231,
        1.51511,
        1.48784,
        1.50194,
        1.51193,
        1.47241,
        1.4679,
        1.50677,
        1.49152,
        1.47346,
        1.47527,
        1.48074,
        1.48858,
        1.49223,
        1.48736,
        1.47962,
        1.48992,
        1.50568,
        1.49747,
        1.51841,
        1.48782,
        1.48742,
        1.48681,
        1.47739,
        1.47977,
        1.47735,
        1.48987,
        1.47381,
        1.4565,
        1.46858,
        1.48304,
        1.49839,
        1.48162,
        1.45644,
        1.50775,
        1.50124,
        1.47421,
        1.49075,
        1.50008,
        1.48576,
        1.47138,
        1.46301,
        1.44413,
        1.4668,
        1.49387,
        1.46156,
        1.47967,
        1.50526,
        1.50199,
        1.49554,
        1.49733,
        1.49049,
        1.49087,
        1.491,
        1.49703,
        1.47663,
        1.48141,
        1.50531,
        1.4953,
        1.49534,
        1.48281,
        1.49809,
        1.49259,
        1.47005,
        1.46155,
        1.48556,
        1.50585,
        1.49406,
        1.4623,
        1.48722,
        1.47233,
        1.46884,
        1.48649,
        1.47914,
        1.49774,
        1.47929,
        1.49129,
        1.4956,
        1.47369,
        1.45362,
        1.48926,
        1.48845,
        1.48357,
        1.5035,
        1.48292,
        1.4685,
        1.45945,
        1.46396,
        1.48546,
        1.50685,
        1.51565,
        1.47245,
        1.46935,
        1.46975,
        1.51086,
        1.48389,
        1.48402,
        1.51154,
        1.51258,
        1.48918,
        1.52302,
        1.51542,
        1.49467,
        1.49824,
        1.48175,
        1.48377,
        1.5268,
        1.54777,
        1.45772,
        1.46421,
        1.51049,
        1.50351,
        1.4826,
        1.51175,
        1.50537,
        1.46857,
        1.48996,
        1.54432,
        1.48172,
        1.5034,
        1.54244,
        1.52408,
        1.52499,
        1.53498,
        1.48544,
        1.53278,
        1.58042,
        1.53853,
        1.54961,
        1.53061,
        1.55189,
        1.5735,
        1.58102,
        1.62096,
        1.5852,
        1.62349,
        1.68122,
        1.62422,
        1.61319,
        1.63137,
        1.64803,
        1.58134,
        1.61801,
        1.62698,
        1.62325,
        1.56835,
        1.57092,
        1.64438,
        1.57979,
        1.5994,
        1.63022,
        1.63584,
        1.64495,
        1.6607,
        1.63695,
        1.56672,
        1.56685,
        1.3976,
        1.37916,
        1.43511,
        1.48093,
        1.67643,
        1.72438,
        1.60459,
        1.79148,
        1.77055,
        1.93117,
        2.09617,
        2.1498,
        1.68179,
        1.59275,
        1.50776,
        1.58381,
        1.65426,
        1.62431,
        1.59291,
        1.59801,
        1.59303,
        1.58305,
        1.53754,
        1.53413,
        1.53663,
        1.53803,
        1.48904,
        1.55506,
        1.53651,
        1.50854,
        1.52363,
        1.5431,
        1.51634,
        1.46261,
        1.45308,
        1.48403,
        1.48728,
        1.49194,
        1.48146,
        1.50326,
        1.52408,
        1.51995,
        1.51098,
        1.51877,
        1.49984,
        1.45604,
        1.48506,
        1.46568,
        1.46172,
        1.47601,
        1.48974,
        1.49949,
        1.50799,
        1.48471,
        1.46953,
        1.46872,
        1.47352,
        1.49312,
        1.49309,
        1.50399,
        1.47194,
        1.4737,
        1.48374,
        1.49061,
        1.49869,
        1.47972,
        1.49382,
        1.48757,
        1.47911,
        1.50414,
        1.47806,
        1.48728,
        1.49457,
        1.48177,
        1.50117,
        1.51427,
        1.49458,
        1.45451,
        1.45623,
        1.4885,
        1.52019,
        1.51597,
        1.524,
        1.48592,
        1.48196,
        1.49377,
        1.4824,
        1.47856,
        1.50131,
        1.47308,
        1.50812,
        1.51302,
        1.51619,
        1.48097,
        1.49472,
        1.50591,
        1.47358,
        1.50533,
        1.48513,
        1.46835,
        1.4724,
        1.49011,
        1.4593,
        1.48945,
        1.50765,
        1.478,
        1.47375,
        1.46575,
        1.48216,
        1.50908,
        1.46492,
        1.46879,
        1.48213,
        1.50233,
        1.50238,
        1.48908,
        1.50335,
        1.50587,
        1.46566,
        1.44511,
        1.40259,
        1.4476,
        1.46516,
        1.48888,
        1.5042,
        1.48543,
        1.46574,
        1.4686,
        1.43353,
        1.4165,
        1.45239,
        1.48243,
        1.44851,
        1.45053,
        1.45309,
        1.42804,
        1.47115,
        1.52155,
        1.50478,
        1.45384,
        1.47874,
        1.47985,
        1.47339,
        1.4883,
        1.47524,
        1.46582,
        1.482,
        1.51133,
        1.50564,
        1.48729,
        1.47157,
        1.48716,
        1.50032,
        1.48508,
        1.45778,
        1.44874,
        1.46428,
        1.49598,
        1.50814,
        1.4471,
        1.45888,
        1.49332,
        1.47893,
        1.46773,
        1.46402,
        1.4828,
        1.46676,
        1.42525,
        1.47195,
        1.47795,
        1.46615,
        1.47599,
        1.4748,
        1.48984,
        1.48835,
        1.45939,
        1.53095,
        1.47841,
        1.52105,
        1.47425,
        1.47865,
        1.50403,
        1.5092,
        1.47214,
        1.4588,
        1.47208,
        1.47633,
        1.48636,
        1.49682,
        1.46383,
        1.49005,
        1.43734,
        1.47041,
        1.45206,
        1.49285,
        1.49145,
        1.47193,
        1.46027,
        1.49081,
        1.48327,
        1.5024,
        1.45642,
        1.45545,
        1.42563,
        1.44366,
        1.44231,
        1.45931,
        1.47908,
        1.46204,
        1.46733,
        1.5003,
        1.47805,
        1.46093,
        1.48072,
        1.50088,
        1.46908,
        1.51241,
        1.51657,
        1.5801,
        1.53176,
        1.41844,
        1.31256,
        1.46656,
        1.50351,
        1.43839,
        1.40054,
        1.45506,
        1.35028,
        1.57612,
        1.58602,
        1.42362,
        1.54573,
        1.39108,
        1.4457,
        1.44956,
        1.40184,
        1.4534,
        1.48216,
        1.49075,
        1.48244,
        1.52769,
        1.45911,
        1.45738,
        1.47242,
        1.52051,
        1.50697,
        1.49446,
        1.51442,
        1.44094,
        1.52595,
        1.49041,
        1.48357,
        1.54095,
        1.5436,
        1.49172,
        1.45019,
        1.46648,
        1.44871,
        1.50537,
        1.43466,
        1.49212,
        1.55689,
        1.53821,
        1.43744,
        1.43162,
        1.52932,
        1.51647,
        1.40659,
        1.39885,
        1.44661,
        1.4314,
        1.51697,
        1.53207,
        1.50426,
        1.43352,
        1.43057,
        1.42915,
        1.45429,
        1.45479,
        1.4759,
        1.53405,
        1.54486,
        1.49121,
        1.47082,
        1.4893,
        1.49284,
        1.42893,
        1.43057,
        1.47356,
        1.48159,
        1.49897,
        1.45994,
        1.46955,
        1.45038,
        1.42797,
        1.4555,
        1.47529,
        1.45913,
        1.47063,
        1.4946,
        1.54271,
        1.464,
        1.4568,
        1.48696,
        1.4883,
        1.42786,
        1.47563,
        1.50108,
        1.47735,
        1.5076,
        1.49695,
        1.4949,
        1.49176,
        1.45149,
        1.47313,
        1.48962,
        1.46151,
        1.45237,
        1.47612,
        1.50114,
        1.48204,
        1.47972,
        1.43598,
        1.48391,
        1.46429,
        1.45732,
        1.47793,
        1.47761,
        1.42345,
        1.43171,
        1.44783,
        1.47218,
        1.42074,
        1.4012,
        1.41498,
        1.44824,
        1.51447,
        1.45002,
        1.44858,
        1.49829,
        1.45484,
        1.46045,
        1.47444,
        1.47877,
        1.4853,
        1.49462,
        1.45532,
        1.44731,
        1.46591,
        1.49942,
        1.4802,
        1.49009,
        1.52554,
        1.50884,
        1.4768,
        1.47084,
        1.51564,
        1.48135,
        1.50374,
        1.52902,
        1.53514,
        1.51521,
        1.52809,
        1.53197,
        1.43611,
        1.48378,
        1.48696,
        1.48092,
        1.45566,
        1.46926,
        1.4767,
        1.47508,
        1.49128,
        1.48001,
        1.4717,
        1.48952,
        1.48236,
        1.51433,
        1.46703,
        1.47845,
        1.51149,
        1.51784,
        1.54785,
        1.50394,
        1.49774,
        1.49631,
        1.51375,
        1.51963,
        1.47078,
        1.5035,
        1.4933,
        1.48842,
        1.5179,
        1.51364,
        1.51168,
        1.43261,
        1.47428,
        1.50155,
        1.53585,
        1.50733,
        1.50823,
        1.49789,
        1.52098,
        1.50273,
        1.49344,
        1.4887,
        1.49906,
        1.49724,
        1.56495,
        1.51879,
        1.52953,
        1.5183,
        1.54018,
        1.51917,
        1.60462,
        1.55741,
        1.56509,
        1.58731,
        1.60823,
        1.62244,
        1.62911,
        1.62541,
        1.60996,
        1.6566,
        1.64769,
        1.62323,
        1.61909,
        1.60846,
        1.61366,
        1.61997,
        1.63523,
        1.58416,
        1.59987,
        1.6023,
        1.64304,
        1.7196,
        1.68746,
        1.60679,
        1.59797,
        1.75045,
        1.78401,
        1.87066,
        1.7505,
        1.64529,
        1.65129,
        1.74661,
        1.77453,
        1.54306,
        1.49236,
        1.45379,
        1.72201,
        1.78434,
        1.66031,
        1.69498,
        1.66362,
        1.56184,
        1.50561,
        1.55065,
        1.59581,
        1.51619,
        1.55647,
        1.5183,
        1.5127,
        1.5053,
        1.5216,
        1.50757,
        1.53568,
        1.48524,
        1.51839,
        1.52683,
        1.52328,
        1.46978,
        1.49512,
        1.46985,
        1.48816,
        1.38668,
        1.47938,
        1.48035,
        1.49405,
        1.49684,
        1.48472,
        1.47194,
        1.51937,
        1.50864,
        1.49523,
        1.48003,
        1.53131,
        1.49407,
        1.47183,
        1.49704,
        1.45458,
        1.4638,
        1.43482,
        1.46682,
        1.48027,
        1.46839,
        1.47641,
        1.46435,
        1.45244,
        1.45795,
        1.44838,
        1.44188,
        1.45207,
        1.5039,
        1.47334,
        1.47638,
        1.48572,
        1.51945,
        1.52384,
        1.45927,
        1.45607,
        1.47681,
        1.47632,
        1.44557,
        1.43826,
        1.47416,
        1.49601,
        1.48615,
        1.46988,
        1.46895,
        1.47853,
        1.49665,
        1.46074,
        1.42123,
        1.55316,
        1.51096,
        1.52731,
        1.47508,
        1.43661,
        1.49062,
        1.44027,
        1.44041,
        1.45744,
        1.46889,
        1.49011,
        1.45878,
        1.47336,
        1.47669,
        1.48837,
        1.47256,
        1.49071,
        1.46973,
        1.46483,
        1.51326,
        1.50331,
        1.48102,
        1.50261,
        1.45872,
        1.45023,
        1.42665,
        1.4639,
        1.48845,
        1.46743,
        1.44572,
        1.47029,
        1.48608,
        1.49231,
        1.47475,
        1.504,
        1.49498,
        1.4805,
        1.44688,
        1.47427,
        1.48684,
        1.47974,
        1.46226,
        1.46137,
        1.50555,
        1.4512,
        1.42376,
        1.42887,
        1.47174,
        1.49102,
        1.51289,
        1.51437,
        1.48604,
        1.44473,
        1.51318,
        1.48912,
        1.48927,
        1.48545,
        1.44058,
        1.45645,
        1.47153,
        1.48667,
        1.48712,
        1.49448,
        1.47159,
        1.49434,
        1.4838,
        1.44862,
        1.44599,
        1.5149,
        1.46124,
        1.43855,
        1.46785,
        1.4421,
        1.43031,
        1.43153,
        1.46055,
        1.45573,
        1.45555,
        1.45573,
        1.44525,
        1.47238,
        1.45219,
        1.45623,
        1.43951,
        1.42625,
        1.47852,
        1.49061,
        1.48802,
        1.45744,
        1.50621,
        1.52209,
        1.51101,
        1.45983,
        1.46617,
        1.41679,
        1.48348,
        1.48148,
        1.4755,
        1.52234,
        1.53786,
        1.49911,
        1.46275,
        1.46268,
        1.43472,
        1.45547,
        1.43308,
        1.44866,
        1.48751,
        1.56131,
        1.49366,
        1.47999,
        1.46496,
        1.47023,
        1.47951,
        1.44294,
        1.46261,
        1.4875,
        1.45432,
        1.42019,
        1.42196,
        1.42206,
        1.46179,
        1.45461,
        1.44073,
        1.42601,
        1.42277,
        1.46869,
        1.46263,
        1.49137,
        1.4348,
        1.47673,
        1.47699,
        1.43727,
        1.48737,
        1.47596,
        1.49424,
        1.46134,
        1.44077,
        1.47238,
        1.47697,
        1.46361,
        1.47063,
        1.49568,
        1.44563,
        1.41152,
        1.44601,
        1.46385,
        1.45855,
        1.42874,
        1.42589,
        1.42052,
        1.44558,
        1.45827,
        1.45976,
        1.48072,
        1.44689,
        1.48282,
        1.49855,
        1.47057,
        1.41303,
        1.46087,
        1.45257,
        1.47243,
        1.5217,
        1.47978,
        1.45245,
        1.46623,
        1.46163,
        1.44481,
        1.44837,
        1.47172,
        1.47084,
        1.47268,
        1.4531,
        1.44226,
        1.4333,
        1.45585,
        1.45375,
        1.51371,
        1.43493,
        1.40812,
        1.42094,
        1.50563,
        1.45743,
        1.43419,
        1.48313,
        1.4785,
        1.45896,
        1.44226,
        1.43312,
        1.47343,
        1.45158,
        1.4533,
        1.44858,
        1.44377,
        1.46137,
        1.47922,
        1.46238,
        1.47781,
        1.44599,
        1.45035,
        1.47013,
        1.4802,
        1.49558,
        1.48041,
        1.41999,
        1.4182,
        1.45033,
        1.46197,
        1.43781,
        1.4643,
        1.47878,
        1.46839,
        1.4436,
        1.45288,
        1.4363,
        1.50386,
        1.48869,
        1.45867,
        1.40125,
        1.55487,
        1.50329,
        1.42306,
        1.53637,
        1.42328,
        1.44822,
        1.4613,
        1.46681,
        1.43971,
        1.46513,
        1.48477,
        1.48135,
        1.45902,
        1.47638,
        1.48335,
        1.47152,
        1.46634,
        1.51962,
        1.50623,
        1.54817,
        1.4113,
        1.32773,
        1.35031,
        1.25823,
        1.22436,
        1.28292,
        1.14719,
        1.22385,
        1.44809,
        1.37526,
        1.4291,
        1.38585,
        1.37492,
        1.47813,
        1.43635,
        1.47465,
        1.45303,
        1.48524,
        1.4762,
        1.43571,
        1.4193,
        1.49808,
        1.46141,
        1.48763,
        1.45848,
        1.47706,
        1.48576,
        1.47007,
        1.45576,
        1.41716,
        1.47013,
        1.45933,
        1.43738,
        1.49002,
        1.46573,
        1.49306,
        1.51688,
        1.4556,
        1.44378,
        1.5084,
        1.52353,
        1.46184,
        1.44442,
        1.47608,
        1.46102,
        1.51719,
        1.48126,
        1.44628,
        1.48896,
        1.48513,
        1.49702,
        1.51144,
        1.4405,
        1.52705,
        1.52767,
        1.47221,
        1.4579,
        1.44792,
        1.47833,
        1.52584,
        1.52251,
        1.48046,
        1.49733,
        1.52356,
        1.46744,
        1.4495,
        1.4562,
        1.5047,
        1.44693,
        1.48951,
        1.48479,
        1.47273,
        1.46068,
        1.50488,
        1.47393,
        1.49501,
        1.53265,
        1.39198,
        1.50203,
        1.51164,
        1.44234,
        1.54739,
        1.45783,
        1.6137,
        1.56245,
        1.45287,
        1.47552,
        1.38371,
        1.49997,
        1.53788,
        1.49906,
        1.52793,
        1.45455,
        1.47923,
        1.56046,
        1.48276,
        1.44103,
        1.46394,
        1.50004,
        1.49788,
        1.48318,
        1.47489,
        1.49594,
        1.53997,
        1.49106,
        1.44278,
        1.55497,
        1.56511,
        1.58975,
        1.53312,
        1.5379,
        1.54554,
        1.57219,
        1.5998,
        1.66839,
        1.61811,
        1.65489,
        1.63827,
        1.63653,
        1.61205,
        1.60793,
        1.58972,
        1.59342,
        1.63356,
        1.63052,
        1.61645,
        1.59422,
        1.54318,
        1.56887,
        1.63706,
        1.77225,
        1.76434,
        1.69529,
        1.69561,
        1.65348,
        1.63617,
        1.61059,
        1.68109,
        1.78354,
        1.74387,
        1.56812,
        1.68778,
        1.49447,
        2.02301,
        1.99229,
        2.19523,
        1.79269,
        1.62593,
        1.58721,
        1.50561,
        1.56128,
        1.5607,
        1.59015,
        1.55774,
        1.52328,
        1.57468,
        1.51678,
        1.56685,
        1.57814,
        1.56142,
        1.59134,
        1.47527,
        1.50812,
        1.47281,
        1.46408,
        1.48575,
        1.40105,
        1.39924,
        1.45839,
        1.50953,
        1.49487,
        1.48989,
        1.49495,
        1.47433,
        1.4695,
        1.42458,
        1.46338,
        1.44959,
        1.47069,
        1.47492,
        1.50431,
        1.47171,
        1.50279,
        1.46767,
        1.52967,
        1.56333,
        1.43223,
        1.45226,
        1.50178,
        1.48708,
        1.41607,
        1.48702,
        1.48745,
        1.47478,
        1.44132,
        1.4697,
        1.45366,
        1.43162,
        1.49603,
        1.48293,
        1.51179,
        1.48114,
        1.46023,
        1.45308,
        1.49007,
        1.4289,
        1.47832,
        1.41703,
        1.45629,
        1.54181,
        1.46882,
        1.44086,
        1.5533,
        1.42706,
        1.32223,
        1.31009,
        1.55238,
        1.56767,
        1.52184,
        1.42209,
        1.55726,
        1.48729,
        1.37921,
        1.48056,
        1.53051,
        1.50276,
        1.48363,
        1.51304,
        1.47645,
        1.54257,
        1.50154,
        1.55472,
        1.51137,
        1.46041,
        1.4491,
        1.49425,
        1.47498,
        1.44074,
        1.4727,
        1.49123,
        1.48767,
        1.48261,
        1.47422,
        1.48951,
        1.47178,
        1.44907,
        1.45479,
        1.41227,
        1.42532,
        1.47326,
        1.47087,
        1.46536,
        1.46431,
        1.47179,
        1.51712,
        1.53097,
        1.48111,
        1.43327,
        1.42081,
        1.4818,
        1.50699,
        1.48602,
        1.50713,
        1.45004,
        1.4598,
        1.50837,
        1.49939,
        1.40239,
        1.35219,
        1.4804,
        1.5607,
        1.50693,
        1.45237,
        1.48664,
        1.43802,
        1.47515,
        1.46894,
        1.47399,
        1.47827,
        1.52735,
        1.5239,
        1.50556,
        1.45415,
        1.46373,
        1.42845,
        1.46045,
        1.46969,
        1.44943,
        1.451,
        1.49758,
        1.45529,
        1.40382,
        1.37272,
        1.51057,
        1.48385,
        1.45031,
        1.47358,
        1.48604,
        1.48663,
        1.44436,
        1.43296,
        1.43424,
        1.48983,
        1.50216,
        1.50469,
        1.50559,
        1.47872,
        1.4768,
        1.4386,
        1.46423,
        1.41435,
        1.42432,
        1.48796,
        1.52082,
        1.4753,
        1.45627,
        1.47123,
        1.477,
        1.49961,
        1.51068,
        1.47844,
        1.45819,
        1.46236,
        1.47278,
        1.52441,
        1.28729,
        1.46308,
        1.43655,
        1.41595,
        1.47262,
        1.45556,
        1.44346,
        1.43991,
        1.46968,
        1.45017,
        1.46323,
        1.45916,
        1.47426,
        1.54545,
        1.4783,
        1.44134,
        1.4624,
        1.46511,
        1.44086,
        1.48616,
        1.4328,
        1.43073,
        1.47116,
        1.50824,
        1.4708,
        1.53142,
        1.46767,
        1.46952,
        1.53371,
        1.45606,
        1.45025,
        1.52232,
        1.51733,
        1.58119,
        1.41608,
        1.42056,
        1.4999,
        1.50294,
        1.48837,
        1.45356,
        1.47098,
        1.51161,
        1.50584,
        1.48571,
        1.49392,
        1.48369,
        1.5052,
        1.47266,
        1.47787,
        1.47322,
        1.4044,
        1.46384,
        1.46005,
        1.55879,
        1.49765,
        1.4762,
        1.51804,
        1.47784,
        1.45485,
        1.54193,
        1.51346,
        1.53182,
        1.5101,
        1.46347,
        1.49469,
        1.49646,
        1.48282,
        1.45377,
        1.50328,
        1.52246,
        1.41931,
        1.39604,
        1.49575,
        1.46428,
        1.53819,
        1.50481,
        1.51378,
        1.48785,
        1.50162,
        1.47063,
        1.43274,
        1.45682,
        1.5174,
        1.48744,
        1.46397,
        1.45896,
        1.44413,
        1.4498,
        1.46425,
        1.4935,
        1.55321,
        1.46296,
        1.41257,
        1.46453,
        1.44569,
        1.44688,
        1.4842,
        1.48419,
        1.47622,
        1.41293,
        1.42599,
        1.4094,
        1.39543,
        1.46105,
        1.43367,
        1.55084,
        1.28134,
        1.51571,
        1.43432,
        1.52045,
        1.43829,
        1.55783,
        1.41043,
        1.49045,
        1.36843,
        1.48068,
        1.495,
        1.39075,
        1.43587,
        1.50968,
        1.4799,
        1.48367,
        1.40893,
        1.47714,
        1.50324,
        1.40278,
        1.44728,
        1.51261,
        1.47897,
        1.46852,
        1.52667,
        1.44515,
        1.50615,
        1.49002,
        1.44559,
        1.51459,
        1.55389,
        1.45838,
        1.53184,
        1.4488,
        1.46142,
        1.46738,
        1.5052,
        1.53648,
        1.44286,
        1.51531,
        1.53174,
        1.51592,
        1.43562,
        1.4209,
        1.48959,
        1.5206,
        1.51156,
        1.52122,
        1.52825,
        1.53142,
        1.47536,
        1.55915,
        1.56289,
        1.61613,
        1.48055,
        1.46091,
        1.45639,
        1.45371,
        1.44994,
        1.47654,
        1.48137,
        1.49195,
        1.49027,
        1.52452,
        1.54162,
        1.4136,
        1.51763,
        1.44155,
        1.43983,
        1.46922,
        1.41893,
        1.45538,
        1.48803,
        1.49977,
        1.3635,
        1.46975,
        1.49779,
        1.5127,
        1.52297,
        1.4099,
        1.42939,
        1.35934,
        1.1786,
        1.29342,
        1.43943,
        1.46716,
        1.45789,
        1.52259,
        1.43209,
        1.4291,
        1.43786,
        1.41435,
        1.43283,
        1.48288,
        1.48223,
        1.45208,
        1.50672,
        1.5011,
        1.4355,
        1.43036,
        1.47058,
        1.52116,
        1.4863,
        1.38219,
        1.44892,
        1.48316,
        1.44088,
        1.45032,
        1.47234,
        1.53705,
        1.52997,
        1.53978,
        1.41504,
        1.44028,
        1.37185,
        1.51312,
        1.52347,
        1.44365,
        1.495,
        1.5515,
        1.45892,
        1.40487,
        1.47399,
        1.51992,
        1.50555,
        1.50304,
        1.43693,
        1.4516,
        1.41816,
        1.43769,
        1.4577,
        1.46074,
        1.4821,
        1.51785,
        1.45596,
        1.44734,
        1.47489,
        1.52302,
        1.48035,
        1.56044,
        1.50622,
        1.50434,
        1.52833,
        1.44405,
        1.50553,
        1.46282,
        1.54606,
        1.50826,
        1.43603,
        1.54235,
        1.57055,
        1.46659,
        1.50843,
        1.48101,
        1.543,
        1.57277,
        1.51284,
        1.48701,
        1.56874,
        1.50861,
        1.59057,
        1.60382,
        1.6171,
        1.63379,
        1.6433,
        1.68975,
        1.65819,
        1.7194,
        1.72625,
        1.56031,
        1.59956,
        1.67051,
        1.59299,
        1.57246,
        1.67547,
        1.61992,
        1.66904,
        1.7032,
        1.64714,
        1.56042,
        1.63528,
        1.74859,
        1.62643,
        1.66633,
        1.61944,
        1.71318,
        1.72257,
        1.77566,
        1.73398,
        1.71289,
        1.64035,
        1.73466,
        1.89525,
        1.61768,
        1.79397,
        1.86672,
        2.31008,
        2.02475,
        1.8478,
        1.90493,
        1.59649,
        1.4377,
        1.37615,
        1.59213,
        1.50573,
        1.48275,
        1.64452,
        1.44879,
        1.67475,
        1.53075,
        1.52513,
        1.4891,
        1.63354,
        1.36807,
        1.42571,
        1.49425,
        1.45542,
        1.5438,
        1.49161,
        1.43017,
        1.42831,
        1.46263,
        1.42743,
        1.4875,
        1.54574,
        1.47835,
        1.42333,
        1.42406,
        1.48906,
        1.39629,
        1.42358,
        1.44099,
        1.57206,
        1.62374,
        1.41392,
        1.45971,
        1.46133,
        1.40552,
        1.46785,
        1.69626,
        1.4888,
        1.5413,
        1.52263,
        1.51497,
        1.47524,
        1.46438,
        1.46219,
        1.42821,
        1.42505,
        1.45833,
        1.45037,
        1.48264,
        1.48031,
        1.43407,
        1.44389,
        1.54105,
        1.46679,
        1.48088,
        1.4698,
        1.45139,
        1.36438,
        1.48557,
        1.42252,
        1.46962,
        1.47149,
        1.43851,
        1.42175,
        1.40534,
        1.38644,
        1.42641,
        1.46681,
        1.48929,
        1.44897,
        1.34595,
        1.38151,
        1.32658,
        1.37614,
        1.30793,
        1.40527,
        1.47244,
        1.51983,
        1.45247,
        1.48023,
        1.46464,
        1.43114,
        1.47811,
        1.40896,
        1.4752,
        1.52474,
        1.55849,
        1.44945,
        1.49816,
        1.36151,
        null,
        1.43221,
        1.42161,
        1.46668,
        1.47197,
        1.45947,
        1.46676,
        1.50336,
        1.52877,
        1.5005,
        1.49087,
        1.49887,
        1.50044,
        1.48276,
        1.49723,
        1.46656,
        1.44888,
        1.42294,
        1.43147,
        1.4587,
        1.46541,
        1.47987,
        1.41289,
        1.37776,
        1.42558,
        1.44901,
        1.49838,
        1.50676,
        1.47495,
        1.47516,
        1.48773,
        1.47849,
        1.45999,
        1.45348,
        1.4596,
        1.47529,
        1.52958,
        1.52728,
        1.42176,
        1.40825,
        1.45461,
        1.48202,
        1.4355,
        1.49291,
        1.51195,
        1.45455,
        1.43184,
        1.48685,
        1.54498,
        1.47304,
        1.46469,
        1.51149,
        1.50598,
        1.45421,
        1.49165,
        1.4705,
        1.44585,
        1.4989,
        1.50412,
        1.45825,
        1.49578,
        1.48298,
        1.49452,
        1.49132,
        1.47293,
        1.45567,
        1.47742,
        1.51803,
        1.48214,
        1.45779,
        1.46438,
        1.40879,
        1.39429,
        1.39109,
        1.40205,
        1.3892,
        1.42931,
        1.46858,
        1.47295,
        1.5299,
        1.50522,
        1.41795,
        1.44875,
        1.46884,
        1.46698,
        1.42871,
        1.50968,
        1.51861,
        1.4975,
        1.48191,
        1.42778,
        1.43074,
        1.41805,
        1.41149,
        1.44854,
        1.43145,
        1.40218,
        1.44811,
        1.52617,
        1.52171,
        1.41969,
        1.44997,
        1.43385,
        1.45201,
        1.49111,
        1.49462,
        1.43173,
        1.46689,
        1.52988,
        1.46894,
        1.48151,
        1.55317,
        1.58696,
        1.52099,
        1.47407,
        1.48522,
        1.52671,
        1.50349,
        1.44668,
        1.46838,
        1.50876,
        1.52672,
        1.46591,
        1.48976,
        1.47921,
        1.53692,
        1.56157,
        1.59508,
        1.63805,
        1.59963,
        1.59678,
        1.53304,
        1.55696,
        1.63411,
        1.63863,
        1.63226,
        1.65326,
        1.62414,
        1.66302,
        1.74492,
        1.64585,
        1.6213,
        1.65451,
        1.63749,
        1.61868,
        1.67815,
        1.65147,
        1.64645,
        1.72231,
        1.74648,
        1.75054,
        1.6928,
        1.73156,
        1.69799,
        1.67683,
        1.76129,
        1.70169,
        1.66827,
        1.53426,
        1.50499,
        1.50378,
        1.61,
        1.65038,
        1.62021,
        1.59818,
        1.46278,
        1.46269,
        1.55045,
        1.56756,
        1.51883,
        1.4951,
        1.52159,
        1.56347,
        1.53566,
        1.50935,
        1.50532,
        1.51465,
        1.51133,
        1.44921,
        1.44155,
        1.47042,
        1.44984,
        1.48189,
        1.47166,
        1.44082,
        1.47019,
        1.4869,
        1.51581,
        1.49716,
        1.39399,
        1.33163,
        1.43468,
        1.41706,
        1.45949,
        1.47631,
        1.49332,
        1.52907,
        1.44238,
        1.46529,
        1.48151,
        1.46519,
        1.42207,
        1.47045,
        1.41452,
        1.41096,
        1.41535,
        1.33235,
        1.37183,
        1.48985,
        1.50004,
        1.48302,
        1.42195,
        1.3954,
        1.32399,
        1.34789,
        1.34603,
        1.22111,
        1.20088,
        1.24104,
        1.2496,
        1.53782,
        1.55847,
        1.36475,
        1.43548,
        1.54344,
        1.50498,
        1.48123,
        1.47243,
        1.46209,
        1.52622,
        1.45187,
        1.43721,
        1.41386,
        1.4916,
        1.51835,
        1.55667,
        1.49917,
        1.45237,
        1.41185,
        1.43934,
        1.52095,
        1.53859,
        1.47778,
        1.4677,
        1.51181,
        1.51827,
        1.46829,
        1.40497,
        1.39806,
        1.4777,
        1.46614,
        1.49008,
        1.50434,
        1.51396,
        1.48886,
        1.48379,
        1.50348,
        1.49658,
        1.42857,
        1.3973,
        1.43516,
        1.47937,
        1.45601,
        1.44183,
        1.44651,
        1.49486,
        1.446,
        1.46088,
        1.42126,
        1.50133,
        1.40639,
        1.49928,
        1.39888,
        1.20878,
        1.23163,
        1.48667,
        1.22488,
        1.26429,
        1.4066,
        1.51328,
        1.45351,
        1.39991,
        1.41986,
        1.41391,
        1.44131,
        1.4732,
        1.40387,
        1.42976,
        1.45461,
        1.47289,
        1.48624,
        1.46028,
        1.48743,
        1.4827,
        1.43747,
        1.46436,
        1.47015,
        1.49565,
        1.44988,
        1.47172,
        1.47966,
        1.47195,
        1.45544,
        1.45625,
        1.4797,
        1.46289,
        1.48345,
        1.4481,
        1.46321,
        1.48871,
        1.46435,
        1.45569,
        1.44212,
        1.44804,
        1.45556,
        1.48836,
        1.53458,
        1.53115,
        1.47388,
        1.46839,
        1.4978,
        1.53862,
        1.49525,
        1.46043,
        1.4515,
        1.50093,
        1.5701,
        1.51825,
        1.45718,
        1.45834,
        1.43483,
        1.48028,
        1.46385,
        1.47592,
        1.44592,
        1.44274,
        1.43098,
        1.44825,
        1.39611,
        1.49895,
        1.45479,
        1.45833,
        1.43628,
        1.43219,
        1.47445,
        1.43328,
        1.44379,
        1.46794,
        1.50232,
        1.46818,
        1.43227,
        1.41904,
        1.44102,
        1.47141,
        1.47799,
        1.4601,
        1.45134,
        1.48251,
        1.48484,
        1.47265,
        1.48166,
        1.48403,
        1.46965,
        1.45079,
        1.41562,
        1.44787,
        1.42964,
        1.46755,
        1.50457,
        1.48073,
        1.43695,
        1.4654,
        1.5121,
        1.46255,
        1.48585,
        1.47359,
        1.43573,
        1.4408,
        1.45922,
        1.48106,
        1.47473,
        1.46877,
        1.45791,
        1.48202,
        1.49421,
        1.45171,
        1.42582,
        1.48475,
        1.49058,
        1.47703,
        1.47987,
        1.40965,
        1.45589,
        1.45652,
        1.49234,
        1.48096,
        1.44125,
        1.46048,
        1.43011,
        1.4727,
        1.46018,
        1.49535,
        1.48389,
        1.48492,
        1.50412,
        1.53507,
        1.47602,
        1.47808,
        1.45498,
        1.4395,
        1.4872,
        1.49236,
        1.47257,
        1.47998,
        1.45068,
        1.49727,
        1.46422,
        1.42772,
        1.45036,
        1.45755,
        1.44672,
        1.48162,
        1.46896,
        1.44794,
        1.43003,
        1.46002,
        1.47584,
        1.45392,
        1.44902,
        1.44818,
        1.44458,
        1.46243,
        1.46216,
        1.46639,
        1.45585,
        1.48332,
        1.45254,
        1.44343,
        1.50166,
        1.45268,
        1.44561,
        1.43261,
        1.45128,
        1.48985,
        1.44319,
        1.47271,
        1.49778,
        1.46108,
        1.43895,
        1.46039,
        1.47361,
        1.47802,
        1.48589,
        1.52824,
        1.51776,
        1.50657,
        1.48126,
        1.47174,
        1.46473,
        1.4181,
        1.43347,
        1.44159,
        1.43601,
        1.46221,
        1.43184,
        1.44122,
        1.47555,
        1.45445,
        1.42452,
        1.47603,
        1.49169,
        1.48227,
        1.4722,
        1.47555,
        1.48238,
        1.46172,
        1.48165,
        1.47236,
        1.46465,
        1.48634,
        1.49271,
        1.46513,
        1.45805,
        1.48001,
        1.4872,
        1.45171,
        1.45853,
        1.45947,
        1.44363,
        1.45948,
        1.46839,
        1.48527,
        1.46239,
        1.45536,
        1.45154,
        1.46857,
        1.50653,
        1.47883,
        1.46502,
        1.45753,
        1.52115,
        1.4928,
        1.4421,
        1.434,
        1.4547,
        1.46015,
        1.49795,
        1.48538,
        1.48722,
        1.49469,
        1.50081,
        1.46105,
        1.44271,
        1.4777,
        1.46106,
        1.44145,
        1.46217,
        1.48404,
        1.49128,
        1.48755,
        1.45851,
        1.46796,
        1.48017,
        1.46863,
        1.45835,
        1.45287,
        1.46677,
        1.48269,
        1.46127,
        1.49864,
        1.48288,
        1.48413,
        1.4654,
        1.44481,
        1.50695,
        1.44679,
        1.48718,
        1.47056,
        1.46236,
        1.47014,
        1.48159,
        1.51195,
        1.50889,
        1.48997,
        1.50461,
        1.47778,
        1.45578,
        1.50646,
        1.49441,
        1.48737,
        1.49571,
        1.50901,
        1.5496,
        1.54481,
        1.59393,
        1.58014,
        1.55058,
        1.57724,
        1.57254,
        1.60661,
        1.60868,
        1.64045,
        1.67459,
        1.67551,
        1.65975,
        1.67554,
        1.63155,
        1.57793,
        1.63836,
        1.59906,
        1.58441,
        1.62557,
        1.64715,
        1.69542,
        1.70961,
        1.68193,
        1.74642,
        1.72927,
        1.7155,
        1.72526,
        1.72887,
        1.71758,
        1.6706,
        1.70611,
        1.78086,
        1.80933,
        1.68582,
        1.71591,
        1.91252,
        1.75535,
        1.70043,
        1.56498,
        1.62881,
        1.63103,
        1.55308,
        1.52006,
        1.50423,
        1.60544,
        1.58187,
        1.53801,
        1.5369,
        1.5679,
        1.56456,
        1.56035,
        1.54274,
        1.48546,
        1.46965,
        1.50861,
        1.539,
        1.48599,
        1.50672,
        1.53808,
        1.49078,
        1.49666,
        1.54214,
        1.50798,
        1.50466,
        1.49431,
        1.48764,
        1.48477,
        1.50105,
        1.48072,
        1.45447,
        1.4758,
        1.45275,
        1.48852,
        1.50454,
        1.5003,
        1.5006,
        1.46615,
        1.42826,
        1.4589,
        1.45227,
        1.43154,
        1.43195,
        1.45536,
        1.45385,
        1.45244,
        1.45094,
        1.44784,
        1.47526,
        1.47571,
        1.44978,
        1.42198,
        1.43749,
        1.43486,
        1.43854,
        1.43853,
        1.45422,
        1.4507,
        1.46929,
        1.47076,
        1.47162,
        1.47554,
        1.46693,
        1.47176,
        1.46294,
        1.47033,
        1.4554,
        1.50687,
        1.47697,
        1.4524,
        1.47256,
        1.51121,
        1.46232,
        1.439,
        1.47746,
        1.45477,
        1.43767,
        1.4201,
        1.45177,
        1.48266,
        1.46876,
        1.45646,
        1.47759,
        1.45495,
        1.48812,
        1.50118,
        1.48907,
        1.46077,
        1.44544,
        1.47829,
        1.49007,
        1.45881,
        1.5306,
        1.50775,
        1.49095,
        1.4906,
        1.49142,
        1.49658,
        1.44453,
        1.47987,
        1.48054,
        1.4774,
        1.5145,
        1.49541,
        1.40776,
        1.47119,
        1.51714,
        1.51138,
        1.47522,
        1.47216,
        1.46227,
        1.50531,
        1.51645,
        1.52428,
        1.49081,
        1.47,
        1.47258,
        1.42866,
        1.46465,
        1.48912,
        1.47209,
        1.44677,
        1.46237,
        1.4784,
        1.50411,
        1.49407,
        1.46767,
        1.48279,
        1.47744,
        1.51265,
        1.4754,
        1.49139,
        1.49266,
        1.45163,
        1.51881,
        1.44799,
        1.46077,
        1.45053,
        1.42532,
        1.45616,
        1.38498,
        1.40805,
        1.43238,
        1.45259,
        1.40043,
        1.51429,
        1.48356,
        1.43169,
        1.45366,
        1.51831,
        1.4929,
        1.45192,
        1.47782,
        1.47951,
        1.42756,
        1.49172,
        1.45577,
        1.40836,
        1.45519,
        1.45241,
        1.43586,
        1.40659,
        1.45011,
        1.46003,
        1.44716,
        1.42,
        1.45888,
        1.4867,
        1.47703,
        1.45665,
        1.47265,
        1.48486,
        1.46599,
        1.50026,
        1.44635,
        1.45161,
        1.48991,
        1.43493,
        1.47417,
        1.4846,
        1.44777,
        1.42074,
        1.42658,
        1.4554,
        1.41661,
        1.36509,
        1.42456,
        1.44805,
        1.45536,
        1.4679,
        1.46373,
        1.44416,
        1.48031,
        1.45151,
        1.48611,
        1.51745,
        1.45946,
        1.44041,
        1.45151,
        1.4659,
        1.45559,
        1.4424,
        1.42439,
        1.43866,
        1.48447,
        1.4336,
        1.53101,
        1.46857,
        1.42414,
        1.44687,
        1.45154,
        1.4636,
        1.45622,
        1.45973,
        1.48527,
        1.44908,
        1.47145,
        1.48492,
        1.45508,
        1.46434,
        1.45574,
        1.46509,
        1.51659,
        1.48636,
        1.46973,
        1.47243,
        1.44871,
        1.44745,
        1.49256,
        1.46675,
        1.48065,
        1.47956,
        1.42284,
        1.43971,
        1.51019,
        1.49539,
        1.50546,
        1.46282,
        1.45297,
        1.4855,
        1.46097,
        1.47436,
        1.47191,
        1.4498,
        1.47529,
        1.47618,
        1.50533,
        1.48443,
        1.46902,
        1.46974,
        1.44995,
        1.47505,
        1.52716,
        1.47474,
        1.54756,
        1.50127,
        1.45622,
        1.43543,
        1.45269,
        1.46839,
        1.42273,
        1.46506,
        1.51245,
        1.52483,
        1.49897,
        1.44466,
        1.50297,
        1.4524,
        1.49681,
        1.51424,
        1.43383,
        1.48266,
        1.4713,
        1.47349,
        1.48101,
        1.55131,
        1.54608,
        1.46149,
        1.43179,
        1.47501,
        1.51159,
        1.49923,
        1.42697,
        1.43176,
        1.46999,
        1.48827,
        1.45501,
        1.45547,
        1.47262,
        1.43604,
        1.46868,
        1.45077,
        1.44756,
        1.4504,
        1.47349,
        1.44111,
        1.47332,
        1.42094,
        1.47961,
        1.47761,
        1.48452,
        1.45696,
        1.44304,
        1.46293,
        1.46662,
        1.45362,
        1.4434,
        1.43424,
        1.51908,
        1.50786,
        1.47732,
        1.43185,
        1.4572,
        1.44994,
        1.50805,
        1.465,
        1.50223,
        1.55007,
        1.51967,
        1.44979,
        1.43193,
        1.49268,
        1.51227,
        1.42907,
        1.44068,
        1.51115,
        1.53752,
        1.4807,
        1.43643,
        1.46071,
        1.42855,
        1.44083,
        1.4512,
        1.47432,
        1.4706,
        1.49372,
        1.46085,
        1.4372,
        1.49866,
        1.51496,
        1.46606,
        1.47418,
        1.48656,
        1.43791,
        1.41211,
        1.46157,
        1.45307,
        1.44963,
        1.44081,
        1.45216,
        1.46298,
        1.47898,
        1.44701,
        1.47036,
        1.41721,
        1.35684,
        1.42538,
        1.48949,
        1.48807,
        1.49431,
        1.47185,
        1.49048,
        1.42873,
        1.45375,
        1.48073,
        1.43833,
        1.44293,
        1.5023,
        1.45347,
        1.45974,
        1.48345,
        1.4393,
        1.44703,
        1.44169,
        1.45661,
        1.49704,
        1.49357,
        1.47728,
        1.46089,
        1.47341,
        1.46568,
        1.4463,
        1.42566,
        1.4665,
        1.47784,
        1.43749,
        1.44725,
        1.47844,
        1.48444,
        1.54496,
        1.41536,
        1.50782,
        1.46364,
        1.42882,
        1.44222,
        1.4855,
        1.52091,
        1.49033,
        1.47286,
        1.46091,
        1.48589,
        1.53321,
        1.44625,
        1.44555,
        1.4782,
        1.54013,
        1.47089,
        1.48627,
        1.49261,
        1.45992,
        1.42224,
        1.49305,
        1.48769,
        1.5094,
        1.52226,
        1.49524,
        1.49596,
        1.48676,
        1.52436,
        1.48091,
        1.46852,
        1.49989,
        1.51153,
        1.52784,
        1.5209,
        1.54137,
        1.55601,
        1.54288,
        1.60479,
        1.6221,
        1.62261,
        1.60973,
        1.61097,
        1.57197,
        1.60552,
        1.55877,
        1.62593,
        1.68225,
        1.64551,
        1.57644,
        1.62797,
        1.63294,
        1.60417,
        1.62374,
        1.59526,
        1.64237,
        1.66042,
        1.5877,
        1.65547,
        1.69821,
        1.65146,
        1.66846,
        1.71627,
        1.69607,
        1.71524,
        1.6857,
        1.61228,
        1.59132,
        1.66319,
        1.81734,
        1.82883,
        1.98514,
        1.87601,
        1.69483,
        1.5531,
        1.62147,
        1.51152,
        1.50556,
        1.73563,
        1.69917,
        1.64675,
        1.56316,
        1.57061,
        1.57468,
        1.50074,
        1.49179,
        1.53008,
        1.50393,
        1.54996,
        1.59217,
        1.53624,
        1.55317,
        1.51163,
        1.43279,
        1.43009,
        1.49954,
        1.58891,
        1.47734,
        1.44927,
        1.48958,
        1.48937,
        1.49622,
        1.5423,
        1.47444,
        1.46715,
        1.48534,
        1.44304,
        1.45048,
        1.50675,
        1.52803,
        1.49698,
        1.46365,
        1.42054,
        1.49577,
        1.43067,
        1.46894,
        1.46662,
        1.45369,
        1.4151,
        1.42755,
        1.46901,
        1.41271,
        1.43949,
        1.44353,
        1.45439,
        1.51255,
        1.49897,
        1.49868,
        1.46837,
        1.53424,
        1.55648,
        1.50065,
        1.47095,
        1.48066,
        1.47144,
        1.47109,
        1.47654,
        1.45496,
        1.48539,
        1.4888,
        1.46598,
        1.45806,
        1.45982,
        1.43857,
        1.4576,
        1.45711,
        1.49418,
        1.49566,
        1.49855,
        1.45431,
        1.52817,
        1.52562,
        1.51968,
        1.47413,
        1.42636,
        1.46853,
        1.44458,
        1.47381,
        1.4435,
        1.48564,
        1.48254,
        1.45299,
        1.48259,
        1.4434,
        1.45484,
        1.46843,
        1.45381,
        1.4412,
        1.46343,
        1.45349,
        1.44255,
        1.4057,
        1.41266,
        1.45636,
        1.52936,
        1.54195,
        1.46187,
        1.46752,
        1.49308,
        1.47529,
        1.45547,
        1.4595,
        1.39253,
        1.37618,
        1.49427,
        1.56117,
        1.45364,
        1.41371,
        1.48245,
        1.51115,
        1.4586,
        1.45734,
        1.42,
        1.45406,
        1.33405,
        1.41376,
        1.31344,
        1.36961,
        1.26715,
        1.37485,
        1.43622,
        1.41603,
        1.39198,
        1.40728,
        1.45392,
        1.50295,
        1.46726,
        1.40967,
        1.40303,
        1.44473,
        1.4321,
        1.45999,
        1.45154,
        1.49038,
        1.4554,
        1.46751,
        1.4617,
        1.43671,
        1.40312,
        1.48207,
        1.4658,
        1.44259,
        1.46152,
        1.44026,
        1.42732,
        1.45903,
        1.42024,
        1.39063,
        1.40629,
        1.45635,
        1.43946,
        1.44878,
        1.41973,
        1.43201,
        1.46063,
        1.45543,
        1.45618,
        1.4507,
        1.42191,
        1.49169,
        1.41518,
        1.38628,
        1.45687,
        1.48337,
        1.45662,
        1.43139,
        1.45224,
        1.45509,
        1.41841,
        1.41538,
        1.44582,
        1.4511,
        1.39742,
        1.46574,
        1.44603,
        1.46031,
        1.40554,
        1.39315,
        1.43813,
        1.44579,
        1.43038,
        1.43009,
        1.37597,
        1.37709,
        1.39645,
        1.36818,
        1.45642,
        1.4431,
        1.44152,
        1.43995,
        1.44362,
        1.42588,
        1.43231,
        1.44781,
        1.45041,
        1.43398,
        1.41552,
        1.46463,
        1.45688,
        1.48966,
        1.48639,
        1.45243,
        1.43748,
        1.45259,
        1.48646,
        1.47396,
        1.48219,
        1.43771,
        1.5093,
        1.48538,
        1.51279,
        1.44944,
        1.46966,
        1.43555,
        1.44224,
        1.46761,
        1.49293,
        1.44096,
        1.48956,
        1.43498,
        1.46968,
        1.4632,
        1.48695,
        1.44912,
        1.42917,
        1.44036,
        1.5013,
        1.44553,
        1.46745,
        1.4703,
        1.4854,
        1.53023,
        1.4961,
        1.47566,
        1.53148,
        1.50842,
        1.37221,
        1.45679,
        1.46948,
        1.47682,
        1.51418,
        1.50799,
        1.47288,
        1.47454,
        1.47718,
        1.48175,
        1.48562,
        1.48465,
        1.49657,
        1.47474,
        1.44281,
        1.44353,
        1.44857,
        1.43716,
        1.47185,
        1.47681,
        1.47919,
        1.44316,
        1.47918,
        1.53092,
        1.55181,
        1.44949,
        1.50626,
        1.48696,
        1.41924,
        1.42282,
        1.4733,
        1.53406,
        1.49391,
        1.49204,
        1.50325,
        1.49047,
        1.45471,
        1.43313,
        1.4809,
        1.4321,
        1.46418,
        1.44872,
        1.45091,
        1.49363,
        1.46506,
        1.48676,
        1.47292,
        1.42043,
        1.48538,
        1.49248,
        1.45396,
        1.45557,
        1.50012,
        1.49495,
        1.50616,
        1.4242,
        1.43697,
        1.473,
        1.4873,
        1.48572,
        1.46467,
        1.4384,
        1.44215,
        1.48719,
        1.52685,
        1.50857,
        1.4608,
        1.46183,
        1.43204,
        1.48594,
        1.4484,
        1.45368,
        1.50283,
        1.4469,
        1.43425,
        1.54059,
        1.4964,
        1.53132,
        1.50143,
        1.41945,
        1.4502,
        1.47811,
        1.46045,
        1.53104,
        1.44648,
        1.4691,
        1.49156,
        1.47131,
        1.492,
        1.50336,
        1.46803,
        1.41532,
        1.43172,
        1.47233,
        1.43774,
        1.46871,
        1.42593,
        1.44043,
        1.4381,
        1.47797,
        1.44605,
        1.46248,
        1.42041,
        1.43983,
        1.45921,
        1.44686,
        1.42003,
        1.46354,
        1.4374,
        1.56193,
        1.58443,
        1.59564,
        1.50384,
        1.50204,
        1.50992,
        1.47087,
        1.48367,
        1.46411,
        1.45884,
        1.47178,
        1.43743,
        1.43243,
        1.40515,
        1.4564,
        1.48836,
        1.46145,
        1.44499,
        1.44401,
        1.43298,
        1.45277,
        1.45587,
        1.44713,
        1.46152,
        1.40427,
        1.47457,
        1.42042,
        1.39243,
        1.39721,
        1.41266,
        1.43886,
        1.46089,
        1.49642,
        1.48808,
        1.46512,
        1.4657,
        1.48343,
        1.43636,
        1.45261,
        1.50012,
        1.52664,
        1.43394,
        1.42293,
        1.46964,
        1.53135,
        1.47456,
        1.45306,
        1.441,
        1.42654,
        1.40638,
        1.47985,
        1.49438,
        1.48322,
        1.42876,
        1.47764,
        1.47223,
        1.42524,
        1.4925,
        1.4682,
        1.45197,
        1.44232,
        1.45429,
        1.43923,
        1.49983,
        1.44305,
        1.47953,
        1.5252,
        1.48073,
        1.49266,
        1.49098,
        1.53587,
        1.48362,
        1.40752,
        1.40628,
        1.4839,
        1.50233,
        1.48315,
        1.49527,
        1.4828,
        1.51397,
        1.51282,
        1.47129,
        1.45436,
        1.55836,
        1.60771,
        1.49914,
        1.48959,
        1.46807,
        1.43776,
        1.46275,
        1.52204,
        1.51229,
        1.52353,
        1.50629,
        1.50069,
        1.49073,
        1.48053,
        1.5675,
        1.58926,
        1.56307,
        1.54324,
        1.60161,
        1.56435,
        1.58132,
        1.60829,
        1.61544,
        1.62672,
        1.66906,
        1.65586,
        1.67001,
        1.62689,
        1.61923,
        1.61599,
        1.66471,
        1.65036,
        1.64694,
        1.62971,
        1.64863,
        1.7434,
        1.75366,
        1.53501,
        1.29821,
        1.20894,
        1.24491,
        1.38212,
        1.57713,
        1.64158,
        1.60039,
        1.69436,
        1.73274,
        1.67084,
        1.75077,
        1.74127,
        1.78159,
        1.67414,
        1.65807,
        1.60546,
        1.80036,
        1.44275,
        1.46159,
        1.55671,
        1.48852,
        1.63295,
        1.55611,
        1.54966,
        1.56434,
        1.52834,
        1.55378,
        1.55045,
        1.50839,
        1.49617,
        1.58118,
        1.53723,
        1.49546,
        1.53842,
        1.56661,
        1.49146,
        1.52448,
        1.52675,
        1.61328,
        1.53849,
        1.51775,
        1.50908,
        1.50285,
        1.47569,
        1.49521,
        1.41267,
        1.45922,
        1.5436,
        1.48771,
        1.45422,
        1.50012,
        1.36162,
        1.46912,
        1.46473,
        1.45431,
        1.44388,
        1.4831,
        1.4999,
        1.43431,
        1.43276,
        1.42613,
        1.40232,
        1.46517,
        1.52177,
        1.54693,
        1.4634,
        1.37322,
        1.45233,
        1.49575,
        1.48512,
        1.4915,
        1.46796,
        1.47024,
        1.47779,
        1.54595,
        1.46356,
        1.45657,
        1.45406,
        1.52096,
        1.41497,
        1.45039,
        1.43322,
        1.43568,
        1.45898,
        1.46415,
        1.42903,
        1.47868,
        1.4931,
        1.45271,
        1.44336,
        1.45916,
        1.46801,
        1.50284,
        1.50624,
        1.46752,
        1.44772,
        1.5377,
        1.46663,
        1.45332,
        1.47301,
        1.45457,
        1.53948,
        1.52787,
        1.3571,
        1.41168,
        1.41161,
        1.42167,
        1.52314,
        1.48805,
        1.47295,
        1.51277,
        1.5091,
        1.49081,
        1.47326,
        1.45524,
        1.45189,
        1.48029,
        1.45189,
        1.44849,
        1.45931,
        1.48702,
        1.46807,
        1.44324,
        1.48759,
        1.45127,
        1.48002,
        1.45995,
        1.45742,
        1.40867,
        1.46739,
        1.4982,
        1.47596,
        1.47909,
        1.42013,
        1.49889,
        1.49548,
        1.44742,
        1.4982,
        1.45774,
        1.4162,
        1.48678,
        1.39885,
        1.42881,
        1.49977,
        1.40498,
        1.40618,
        1.4289,
        1.42651,
        1.44854,
        1.49875,
        1.48018,
        1.4941,
        1.48814,
        1.4728,
        1.47097,
        1.42006,
        1.45603,
        1.43209,
        1.47073,
        1.47637,
        1.50462,
        1.44297,
        1.47012,
        1.49095,
        1.42339,
        1.48291,
        1.45084,
        1.46756,
        1.41374,
        1.4715,
        1.49966,
        1.42856,
        1.39832,
        1.43626,
        1.43269,
        1.4797,
        1.4422,
        1.46562,
        1.48022,
        1.46177,
        1.4666,
        1.43031,
        1.45412,
        1.52569,
        1.47577,
        1.45885,
        1.48138,
        1.42216,
        1.49554,
        1.45527,
        1.52344,
        1.45768,
        1.39835,
        1.43156,
        1.47416,
        1.51779,
        1.49002,
        1.49682,
        1.48521,
        1.48356,
        1.45808,
        1.44335,
        1.49896,
        1.49162,
        1.50849,
        1.41497,
        1.43839,
        1.46339,
        1.46627,
        1.47263,
        1.49653,
        1.51859,
        1.50026,
        1.51689,
        1.50861,
        1.50563,
        1.46191,
        1.51542,
        1.44182,
        1.4671,
        1.5479,
        1.49137,
        1.4743,
        1.47118,
        1.46025,
        1.47102,
        1.46406,
        1.50713,
        1.44676,
        1.38316,
        1.42231,
        1.47913,
        1.45683,
        1.47433,
        1.53351,
        1.53471,
        1.5174,
        1.55772,
        1.46543,
        1.43042,
        1.47371,
        1.52207,
        1.49303,
        1.52782,
        1.49396,
        1.47788,
        1.49155,
        1.47141,
        1.48539,
        1.43428,
        1.48432,
        1.49882,
        1.54829,
        1.4223,
        1.39927,
        1.37772,
        1.49046,
        1.47367,
        1.39391,
        1.4822,
        1.47301,
        1.47339,
        1.50415,
        1.48714,
        1.50952,
        1.47854,
        1.47608,
        1.42572,
        1.44661,
        1.43621,
        1.45062,
        1.44513,
        1.4334,
        1.47333,
        1.42275,
        1.46963,
        1.45124,
        1.47653,
        1.4601,
        1.45402,
        1.51046,
        1.45776,
        1.52366,
        1.43368,
        1.49025,
        1.43546,
        1.43888,
        1.47936,
        1.53986,
        1.52782,
        1.42636,
        1.58494,
        1.49121,
        1.48658,
        1.41957,
        1.43632,
        1.40407,
        1.53588,
        1.45861,
        1.49382,
        1.39108,
        1.36097,
        1.41936,
        1.44919,
        1.49538,
        1.42083,
        1.42908,
        1.44046,
        1.43146,
        1.4482,
        1.40758,
        1.41021,
        1.47921,
        1.48472,
        1.49349,
        1.47461,
        1.43316,
        1.42524,
        1.36243,
        1.447,
        1.42771,
        1.48962,
        1.44274,
        1.39668,
        1.41814,
        1.42837,
        1.47044,
        1.38075,
        1.46099,
        1.42919,
        1.47373,
        1.46168,
        1.41519,
        1.46117,
        1.43693,
        1.4716,
        1.41513,
        1.47797,
        1.39396,
        1.37992,
        1.43134,
        1.36795,
        1.44299,
        1.5347,
        1.49611,
        1.5151,
        1.50079,
        1.48012,
        1.39649,
        1.41755,
        1.41587,
        1.4464,
        1.41556,
        1.4668,
        1.47802,
        1.41776,
        1.26538,
        1.42153,
        1.08675,
        1.27269,
        1.613,
        1.34527,
        1.65808,
        1.40111,
        1.47843,
        1.58763,
        1.31606,
        1.29627,
        1.54532,
        1.38286,
        1.38786,
        1.45461,
        1.42924,
        1.42638,
        1.51962,
        1.56897,
        1.47606,
        1.56239,
        1.4314,
        1.45897,
        1.36616,
        1.47472,
        1.44964,
        1.41045,
        1.44203,
        1.45981,
        1.49276,
        1.38771,
        1.45559,
        1.44635,
        1.3764,
        1.45556,
        1.45638,
        1.4688,
        1.41448,
        1.47588,
        1.40032,
        1.41682,
        1.45098,
        1.45057,
        1.49842,
        1.4299,
        1.48739,
        1.46793,
        1.43415,
        1.45255,
        1.38085,
        1.49989,
        1.47582,
        1.37205,
        1.41979,
        1.42081,
        1.44861,
        1.30483,
        1.35628,
        1.5197,
        1.48856,
        1.42051,
        1.45162,
        1.44922,
        1.44592,
        1.47798,
        1.47437,
        1.51086,
        1.46996,
        1.49358,
        1.49281,
        1.43788,
        1.45798,
        1.54809,
        1.43267,
        1.52986,
        1.61757,
        1.46555,
        1.45358,
        1.43931,
        1.44247,
        1.33412,
        1.19529,
        1.01019,
        0.933558,
        0.948792,
        1.09652,
        1.25928,
        1.34935,
        1.47136,
        1.45977,
        1.5207,
        1.38481,
        1.41852,
        1.46013,
        1.49954,
        1.48147,
        1.4794,
        1.47656,
        1.46907,
        1.47963,
        null,
        1.48902,
        1.47807,
        1.47925,
        1.49182,
        1.47639,
        1.46625,
        1.44147,
        1.42357,
        1.45262,
        1.50013,
        1.5284,
        1.50938,
        1.52692,
        1.49988,
        1.49049,
        1.45428,
        1.44819,
        1.48751,
        1.50998,
        1.49885,
        1.50487,
        1.53231,
        1.4617,
        1.46527,
        1.47514,
        1.46373,
        1.44088,
        1.42939,
        1.47765,
        1.47029,
        1.43522,
        1.4457,
        1.46915,
        1.46729,
        1.44113,
        1.42957,
        1.35836,
        1.38492,
        1.44657,
        1.45913,
        1.45043,
        1.31795,
        1.16598,
        1.26277,
        1.32255,
        1.09508,
        1.32652,
        1.48611,
        1.56856,
        1.5284,
        1.43887,
        1.42412,
        1.51692,
        1.52246,
        1.48424,
        1.49185,
        1.45508,
        1.42883,
        1.48013,
        1.52858,
        1.48491,
        1.54563,
        1.50801,
        1.51907,
        1.51169,
        1.48704,
        1.44811,
        1.45977,
        1.39622,
        1.39756,
        1.42504,
        1.47674,
        1.44993,
        1.43994,
        1.42472,
        1.45396,
        1.46917,
        1.45839,
        1.42599,
        1.45547,
        1.49023,
        1.45516,
        1.449,
        1.43879,
        1.37701,
        1.36286,
        1.40199,
        1.44957,
        1.46913,
        1.47302,
        1.43552,
        1.43568,
        1.48522,
        1.49171,
        1.43014,
        1.43407,
        1.4495,
        1.44515,
        1.47994,
        1.49763,
        1.44741,
        1.43176,
        1.42937,
        1.46769,
        1.48816,
        1.47615,
        1.44582,
        1.43541,
        1.4294,
        1.45434,
        1.47208,
        1.45103,
        1.42578,
        1.45313,
        1.48544,
        1.44219,
        1.43569,
        1.47241,
        1.49282,
        1.50055,
        1.48927,
        1.43928,
        1.43202,
        1.47945,
        1.45406,
        1.42779,
        1.4346,
        1.47494,
        1.45358,
        1.45012,
        1.46983,
        1.47782,
        1.47903,
        1.47357,
        1.46606,
        1.44241,
        1.45673,
        1.47287,
        1.45665,
        1.48848,
        1.47725,
        1.47444,
        1.45138,
        1.41724,
        1.42278,
        1.46246,
        1.48256,
        1.46825,
        1.47772,
        1.46505,
        1.48165,
        1.5038,
        1.46345,
        1.48088,
        1.45854,
        1.48316,
        1.49391,
        1.51296,
        1.48409,
        1.45699,
        1.45895,
        1.50672,
        1.45411,
        1.44965,
        1.48874,
        1.46612,
        1.44912,
        1.42847,
        1.4727,
        1.48904,
        1.48453,
        1.4772,
        1.46908,
        1.4501,
        1.45365,
        1.48334,
        1.46069,
        1.43498,
        1.46715,
        1.47232,
        1.43816,
        1.423,
        1.44702,
        1.45559,
        1.46554,
        1.43231,
        1.43504,
        1.4247,
        1.4406,
        1.49856,
        1.44083,
        1.4353,
        1.45788,
        1.47567,
        1.4667,
        1.46005,
        1.43669,
        1.48566,
        1.46896,
        1.42561,
        1.45928,
        1.44916,
        1.44912,
        1.47864,
        1.41767,
        1.40242,
        1.45492,
        1.46867,
        1.49517,
        1.45978,
        1.45446,
        1.47674,
        1.50364,
        1.49571,
        1.461,
        1.48664,
        1.47171,
        1.46125,
        1.45562,
        1.48777,
        1.45994,
        1.5032,
        1.46222,
        1.48505,
        1.50155,
        1.42692,
        1.44644,
        1.51676,
        1.47566,
        1.43711,
        1.47409,
        1.47816,
        1.47933,
        1.45579,
        1.44373,
        1.52095,
        1.51798,
        1.50315,
        1.49309,
        1.50965,
        1.46219,
        1.46207,
        1.46741,
        1.48595,
        1.47631,
        1.42733,
        1.41599,
        1.44013,
        1.43492,
        1.47161,
        1.48813,
        1.50633,
        1.48719,
        1.46946,
        1.50024,
        1.5268,
        1.45584,
        1.46771,
        1.46832,
        1.43162,
        1.45082,
        1.4727,
        1.50254,
        1.4886,
        1.47252,
        1.43342,
        1.51273,
        1.48974,
        1.55087,
        1.54192,
        1.46956,
        1.47747,
        1.53667,
        1.52825,
        1.51265,
        1.50453,
        1.55068,
        1.59382,
        1.56633,
        1.56442,
        1.63118,
        1.65102,
        1.58947,
        1.66266,
        1.65151,
        1.66886,
        1.64375,
        1.66967,
        1.69326,
        1.72563,
        1.68671,
        1.64003,
        1.68932,
        1.69268,
        1.70191,
        1.62468,
        1.6468,
        1.70743,
        1.69801,
        1.75366,
        1.79143,
        1.78999,
        1.7304,
        1.74718,
        1.77832,
        1.69301,
        1.69158,
        1.82107,
        1.73873,
        1.65436,
        1.73983,
        1.56672,
        1.86168,
        1.7598,
        1.69011,
        1.48108,
        1.55518,
        1.57988,
        1.61629,
        1.59417,
        1.61081,
        1.59638,
        1.5968,
        1.53348,
        1.52311,
        1.52037,
        1.52595,
        1.52275,
        1.53031,
        1.51358,
        1.50206,
        1.52871,
        1.5154,
        1.48269,
        1.48662,
        1.49236,
        1.44154,
        1.47567,
        1.47269,
        1.43758,
        1.46979,
        1.50839,
        1.48937,
        1.50305,
        1.46021,
        1.46318,
        1.48417,
        1.43059,
        1.42951,
        1.47818,
        1.46067,
        1.44807,
        1.46377,
        1.48027,
        1.50457,
        1.44715,
        1.4538,
        1.41185,
        1.42558,
        1.43186,
        1.49049,
        1.48544,
        1.44944,
        1.45609,
        1.48858,
        1.47163,
        1.43593,
        1.44958,
        1.438,
        1.44143,
        1.44073,
        1.47317,
        1.47859,
        1.48549,
        1.4688,
        1.41206,
        1.43076,
        1.45148,
        1.43916,
        1.47168,
        1.45523,
        1.42243,
        1.41573,
        1.45897,
        1.49409,
        1.43241,
        1.45531,
        1.43867,
        1.44107,
        1.39908,
        1.47371,
        1.52354,
        1.46959,
        1.47491,
        1.46463,
        1.36101,
        1.40572,
        1.46473,
        1.46394,
        1.43447,
        1.41806,
        1.42289,
        1.48984,
        1.50226,
        1.48918,
        1.49568,
        1.47763,
        1.45246,
        1.43007,
        1.43683,
        1.419,
        1.44472,
        1.47866,
        1.45803,
        1.46046,
        1.45513,
        1.40133,
        1.43047,
        1.4696,
        1.46865,
        1.47748,
        1.43087,
        1.36565,
        1.39435,
        1.44707,
        1.53306,
        1.55466,
        1.48337,
        1.43593,
        1.46077,
        1.52535,
        1.58851,
        1.56123,
        1.51618,
        1.40688,
        1.39314,
        1.44712,
        1.52408,
        1.52759,
        1.56663,
        1.57586,
        1.54787,
        1.57507,
        1.47785,
        1.41336,
        1.50272,
        1.52741,
        1.46761,
        1.43947,
        1.5347,
        1.43196,
        1.65199,
        1.43353,
        1.52929,
        1.36623,
        1.39021,
        1.58672,
        1.54543,
        1.57135,
        1.63404,
        1.7143,
        1.22969,
        1.35883,
        1.40623,
        1.77403,
        1.82806,
        1.92599,
        1.61943,
        1.49328,
        1.66064,
        1.53163,
        1.42175,
        1.44156,
        1.45437,
        1.46437,
        1.52502,
        1.43671,
        1.46992,
        1.46474,
        1.47477,
        1.41387,
        1.49388,
        1.50012,
        1.46049,
        1.45412,
        1.44856,
        1.44395,
        1.48048,
        1.36707,
        1.42276,
        1.47856,
        1.51169,
        1.51039,
        1.47824,
        1.44385,
        1.44787,
        1.43758,
        1.43463,
        1.4157,
        1.46496,
        1.43628,
        1.43007,
        1.48751,
        1.42187,
        1.4231,
        1.45141,
        1.40414,
        1.42476,
        1.48247,
        1.44666,
        1.40207,
        1.40626,
        1.43599,
        1.43692,
        1.40977,
        1.45715,
        1.46221,
        1.43968,
        1.44664,
        1.47358,
        1.46255,
        1.46018,
        1.48928,
        1.46242,
        1.46335,
        1.41932,
        1.43268,
        1.43378,
        1.45218,
        1.47296,
        1.45924,
        1.44917,
        1.46448,
        1.43615,
        1.42417,
        1.43429,
        1.46838,
        1.43429,
        1.40559,
        1.44907,
        1.50999,
        1.4865,
        1.47454,
        1.46904,
        1.50847,
        1.49328,
        1.49826,
        1.45689,
        1.46047,
        1.46608,
        1.45483,
        1.42832,
        1.46585,
        1.44336,
        1.48452,
        1.49748,
        1.44573,
        1.44722,
        1.49075,
        1.45088,
        1.46352,
        1.43252,
        1.36423,
        1.29082,
        1.26173,
        1.32199,
        1.4178,
        1.45611,
        1.42674,
        1.39618,
        1.43983,
        1.51164,
        1.49981,
        1.47633,
        1.44607,
        1.45111,
        1.45128,
        1.4851,
        1.47173,
        1.43861,
        1.42447,
        1.4272,
        1.49867,
        1.45993,
        1.41446,
        1.46713,
        1.50169,
        1.46752,
        1.41127,
        1.46408,
        1.43831,
        1.43987,
        1.46261,
        1.5189,
        1.47101,
        1.43444,
        1.45535,
        1.48976,
        1.4821,
        1.43793,
        1.44784,
        1.41957,
        1.43496,
        1.44149,
        1.44256,
        1.42513,
        1.43967,
        1.43484,
        1.46101,
        1.44797,
        1.46468,
        1.43802,
        1.46174,
        1.4689,
        1.47485,
        1.45912,
        1.43822,
        1.43861,
        1.45196,
        1.44378,
        1.46058,
        1.44625,
        1.46567,
        1.46753,
        1.4835,
        1.46213,
        1.49206,
        1.54432,
        1.51966,
        1.44678,
        1.52083,
        1.52382,
        1.45825,
        1.47463,
        1.45158,
        1.50043,
        1.51854,
        1.4688,
        1.43154,
        1.37424,
        1.4799,
        1.48203,
        1.43764,
        1.48805,
        1.43557,
        1.4553,
        1.47528,
        1.43875,
        1.4298,
        1.4441,
        1.49713,
        1.48216,
        1.48493,
        1.44117,
        1.46033,
        1.47588,
        1.44016,
        1.49593,
        1.52829,
        1.47836,
        1.51633,
        1.50307,
        1.53433,
        1.50467,
        1.50003,
        1.4731,
        1.49461,
        1.44169,
        1.43048,
        1.44966,
        1.49137,
        1.45934,
        1.45819,
        1.46068,
        1.44666,
        1.43683,
        1.46669,
        1.46059,
        1.44321,
        1.4265,
        1.48152,
        1.48668,
        1.44263,
        1.44573,
        1.43728,
        1.44113,
        1.44834,
        1.46653,
        1.48469,
        1.45161,
        1.44625,
        1.45586,
        1.47167,
        1.45948,
        1.46223,
        1.48302,
        1.4244,
        1.47046,
        1.48746,
        1.47611,
        1.4831,
        1.46772,
        1.47147,
        1.45543,
        1.4561,
        1.4746,
        1.44716,
        1.41624,
        1.46937,
        1.44519,
        1.45605,
        1.47359,
        1.47449,
        1.42163,
        1.45738,
        1.45488,
        1.49137,
        1.50147,
        1.47558,
        1.48316,
        1.46433,
        1.50012,
        1.47144,
        1.47908,
        1.48876,
        1.50957,
        1.48143,
        1.49349,
        1.4756,
        1.52826,
        1.53122,
        1.48553,
        1.50322,
        1.5113,
        1.51179,
        1.49201,
        1.53665,
        1.62118,
        1.56387,
        1.45154,
        1.51493,
        1.56208,
        1.58651,
        1.6092,
        1.63478,
        1.60122,
        1.5971,
        1.61648,
        1.6275,
        1.63641,
        1.61157,
        1.64182,
        1.64997,
        1.61132,
        1.61933,
        1.6646,
        1.67899,
        1.66894,
        1.68605,
        1.64307,
        1.67252,
        1.67291,
        1.76172,
        1.73911,
        1.84878,
        1.77629,
        1.80731,
        1.69102,
        1.74983,
        1.72338,
        1.66276,
        1.72087,
        1.74545,
        1.70955,
        1.62772,
        1.5805,
        1.90279,
        1.50998,
        1.7349,
        1.75661,
        1.63041,
        1.60961,
        1.50819,
        1.59051,
        1.55253,
        1.60516,
        1.61874,
        1.51973,
        1.48414,
        1.48022,
        1.48975,
        1.49893,
        1.52769,
        1.47848,
        1.51195,
        1.53047,
        1.54847,
        1.46106,
        1.39708,
        1.42181,
        1.39806,
        1.39629,
        1.4897,
        1.53488,
        1.42754,
        1.5154,
        1.4717,
        1.44508,
        1.47419,
        1.54411,
        1.52946,
        1.54778,
        1.57326,
        1.5458,
        1.64456,
        1.52481,
        1.4982,
        1.48487,
        1.38586,
        1.32301,
        1.28108,
        1.08697,
        1.55146,
        1.61711,
        1.22401,
        1.25775,
        1.33781,
        1.35762,
        1.40281,
        1.39107,
        1.32491,
        1.47325,
        1.45944,
        1.41447,
        1.37423,
        1.39921,
        1.40094,
        1.34979,
        1.3267,
        1.3162,
        1.40728,
        1.5034,
        1.34011,
        1.43917,
        1.34532,
        1.46965,
        1.26623,
        1.54942,
        1.45637,
        1.48707,
        1.5321,
        1.46082,
        1.49258,
        1.40419,
        1.39859,
        1.46345,
        1.3667,
        1.41148,
        1.50939,
        1.42028,
        1.39958,
        1.42649,
        1.45942,
        1.45213,
        1.46907,
        1.51558,
        1.48875,
        1.46485,
        1.40832,
        1.47483,
        1.48822,
        1.4493,
        1.44106,
        1.49241,
        1.38444,
        1.48869,
        1.51513,
        1.48685,
        1.49314,
        1.48363,
        1.46608,
        1.46814,
        1.46702,
        1.4823,
        1.51798,
        1.50544,
        1.4688,
        1.52575,
        1.51073,
        1.43884,
        1.42794,
        1.41922,
        1.51131,
        1.52477,
        1.48979,
        1.49552,
        1.47699,
        1.45619,
        1.50892,
        1.50412,
        1.51392,
        1.47499,
        1.45713,
        1.46652,
        1.47544,
        1.47733,
        1.51779,
        1.46118,
        1.44993,
        1.45833,
        1.42106,
        1.46419,
        1.48089,
        1.47876,
        1.52924,
        1.46526,
        1.49859,
        1.52006,
        1.51489,
        1.5002,
        1.47336,
        1.47902,
        1.46163,
        1.45091,
        1.45525,
        1.4155,
        1.44261,
        1.48979,
        1.46845,
        1.48844,
        1.46612,
        1.46801,
        1.50965,
        1.48312,
        1.5039,
        1.49682,
        1.49985,
        1.48778,
        1.47965,
        1.46336,
        1.49033,
        1.46485,
        1.46875,
        1.43054,
        1.48547,
        1.5069,
        1.518,
        1.50493,
        1.46628,
        1.46947,
        1.49257,
        1.48833,
        1.49317,
        1.49322,
        1.50521,
        1.48061,
        1.49313,
        1.48665,
        1.50699,
        1.43344,
        1.46104,
        1.46956,
        1.46418,
        1.48658,
        1.51981,
        1.45794,
        1.57972,
        1.53013,
        1.50777,
        1.4901,
        1.48304,
        1.47078,
        1.57152,
        1.56079,
        1.54546,
        1.47732,
        1.50943,
        1.5469,
        1.75074,
        1.71121,
        1.69281,
        1.44024,
        1.45145,
        1.55485,
        1.45633,
        1.46488,
        1.49831,
        1.52075,
        1.42665,
        1.47356,
        1.53115,
        1.46465,
        1.46705,
        1.44284,
        1.45284,
        1.44212,
        1.48277,
        1.47335,
        1.47088,
        1.40405,
        1.45865,
        1.52766,
        1.46745,
        1.39042,
        1.50614,
        1.49691,
        1.50263,
        1.47302,
        1.47636,
        1.49303,
        1.43827,
        1.46048,
        1.44124,
        1.47925,
        1.45687,
        1.47933,
        1.49229,
        1.44605,
        1.4572,
        1.47604,
        1.47228,
        1.45275,
        1.45906,
        1.47142,
        1.43959,
        1.44308,
        1.48156,
        1.47208,
        1.49518,
        1.4508,
        1.47979,
        1.47992,
        1.48266,
        1.44625,
        1.46485,
        1.45301,
        1.458,
        1.47208,
        1.4418,
        1.42092,
        1.45752,
        1.42062,
        1.42919,
        1.45965,
        1.44085,
        1.43407,
        1.47642,
        1.48468,
        1.43501,
        1.44236,
        1.43387,
        1.44328,
        1.44917,
        1.43554,
        1.45745,
        1.43092,
        1.47696,
        1.427,
        1.41596,
        1.46156,
        1.44756,
        1.46771,
        1.44219,
        1.47239,
        1.46414,
        1.47033,
        1.41421,
        1.41326,
        1.43418,
        1.42041,
        1.48124,
        1.48409,
        1.39527,
        1.42703,
        1.44884,
        1.43822,
        1.48022,
        1.49559,
        1.43276,
        1.45054,
        1.43253,
        1.43709,
        1.47911,
        1.41918,
        1.40603,
        1.4055,
        1.43539,
        1.46621,
        1.44219,
        1.46869,
        1.50933,
        1.48898,
        1.5102,
        1.46632,
        1.48119,
        1.46331,
        1.44059,
        1.47251,
        1.49594,
        1.523,
        1.49367,
        1.40794,
        1.42091,
        1.43231,
        1.55818,
        1.49275,
        1.46134,
        1.4003,
        1.45745,
        1.44326,
        1.40039,
        1.33679,
        1.37178,
        1.35964,
        1.20076,
        1.15935,
        1.27319,
        1.3132,
        1.30387,
        1.24504,
        1.43322,
        1.47936,
        1.32589,
        1.4891,
        1.42986,
        1.43586,
        1.47297,
        1.35927,
        1.39344,
        1.4241,
        1.41897,
        1.43522,
        1.39022,
        1.40165,
        1.41844,
        1.42659,
        1.45953,
        1.47389,
        1.48739,
        1.51024,
        1.44461,
        1.47439,
        1.44072,
        1.48166,
        1.43721,
        1.44545,
        1.44321,
        1.442,
        1.5385,
        1.55632,
        1.51108,
        1.62113,
        1.723,
        1.48835,
        1.60103,
        1.46219,
        1.38145,
        1.50237,
        1.49029,
        1.39848,
        1.43708,
        1.48563,
        1.55637,
        1.49924,
        1.46996,
        1.45811,
        1.5053,
        1.41692,
        1.44728,
        1.42844,
        1.41191,
        1.45179,
        1.45305,
        1.47853,
        1.45108,
        1.47317,
        1.51867,
        1.49366,
        1.49111,
        1.49503,
        1.51417,
        1.50747,
        1.46935,
        1.47393,
        1.43597,
        1.44428,
        1.46815,
        1.45122,
        1.50434,
        1.49373,
        1.48721,
        1.47401,
        1.48747,
        1.49662,
        1.4799,
        1.52006,
        1.55163,
        1.5206,
        1.52633,
        1.56769,
        1.57922,
        1.56928,
        1.62496,
        1.5975,
        1.60793,
        1.65051,
        1.65009,
        1.65283,
        1.63543,
        1.63893,
        1.6299,
        1.65444,
        1.65443,
        1.64157,
        1.66703,
        1.62187,
        1.65308,
        1.68126,
        1.64285,
        1.66849,
        1.66488,
        1.66993,
        1.66683,
        1.69957,
        1.71287,
        1.77201,
        1.72869,
        1.70094,
        1.70092,
        1.64593,
        1.72995,
        1.75952,
        1.79373,
        1.78516,
        1.69078,
        1.74835,
        1.8062,
        1.63412,
        1.59201,
        1.74842,
        1.63881,
        1.51787,
        1.66193,
        1.53832,
        1.67608,
        1.7263,
        1.58643,
        1.52687,
        1.54805,
        1.48808,
        1.53908,
        1.61113,
        1.50789,
        1.49402,
        1.51249,
        1.50162,
        1.53415,
        1.53471,
        1.54667,
        1.55725,
        1.57319,
        1.51805,
        1.47736,
        1.49954,
        1.49735,
        1.52607,
        1.47862,
        1.48485,
        1.47017,
        1.50494,
        1.55212,
        1.52852,
        1.40003,
        1.54715,
        1.48743,
        1.45255,
        1.44996,
        1.44849,
        1.46459,
        1.48956,
        1.5138,
        1.49229,
        1.43111,
        1.47314,
        1.46149,
        1.43921,
        1.49371,
        1.45883,
        1.42854,
        1.40332,
        1.44539,
        1.45796,
        1.4936,
        1.48604,
        1.49263,
        1.50507,
        1.44759,
        1.44468,
        1.4798,
        1.44193,
        1.45447,
        1.45216,
        1.46764,
        1.42771,
        1.42642,
        1.42919,
        1.47137,
        1.5113,
        1.46498,
        1.4384,
        1.41093,
        1.44057,
        1.44848,
        1.48761,
        1.48914,
        1.47551,
        1.4657,
        1.45696,
        1.46162,
        1.51941,
        1.46507,
        1.45241,
        1.53804,
        1.47407,
        1.45679,
        1.45396,
        1.51296,
        1.50811,
        1.53033,
        1.48267,
        1.40204,
        1.47879,
        1.47876,
        1.44824,
        1.51539,
        1.47157,
        1.53761,
        1.47059,
        1.55714,
        1.54361,
        1.85281,
        2.04202,
        1.99705,
        2.06395,
        1.82373,
        1.44176,
        1.59298,
        1.46549,
        1.3948,
        1.4868,
        1.55911,
        1.47704,
        1.47243,
        1.5518,
        1.52493,
        1.52606,
        1.45865,
        1.43712,
        1.43257,
        1.49968,
        1.46683,
        1.52586,
        1.53598,
        1.48758,
        1.47313,
        1.4918,
        1.50772,
        1.52561,
        1.51197,
        1.52232,
        1.51495,
        1.49734,
        1.46026,
        1.45762,
        1.4785,
        1.505,
        1.47673,
        1.48545,
        1.45099,
        1.47738,
        1.50636,
        1.50293,
        1.53637,
        1.47709,
        1.44334,
        1.53041,
        1.49959,
        1.51346,
        1.43788,
        1.4622,
        1.4594,
        1.49884,
        1.50315,
        1.4658,
        1.4979,
        1.51085,
        1.50914,
        1.47599,
        1.48609,
        1.39482,
        1.47588,
        1.43003,
        1.40704,
        1.44155,
        1.49793,
        1.43605,
        1.42869,
        1.44336,
        1.47298,
        1.46403,
        1.45506,
        1.42388,
        1.46502,
        1.45723,
        1.44659,
        1.44726,
        1.4344,
        1.4873,
        1.53499,
        1.53833,
        1.46986,
        1.46842,
        1.48726,
        1.4823,
        1.44979,
        1.45389,
        1.52202,
        1.53584,
        1.45241,
        1.47757,
        1.51248,
        1.43748,
        1.46412,
        1.43593,
        1.45339,
        1.44912,
        1.46307,
        1.47967,
        1.45237,
        1.43399,
        1.44913,
        1.38406,
        1.46883,
        1.46762,
        1.46555,
        1.4665,
        1.41737,
        1.42733,
        1.42727,
        1.42729,
        1.41393,
        1.48802,
        1.38596,
        1.41425,
        1.43851,
        1.39787,
        1.45345,
        1.49611,
        1.41521,
        1.43309,
        1.46482,
        1.42603,
        1.42859,
        1.42385,
        1.42547,
        1.43297,
        1.45135,
        1.50397,
        1.43334,
        1.44857,
        1.44024,
        1.4032,
        1.42363,
        1.43325,
        1.45316,
        1.4642,
        1.37832,
        1.40685,
        1.4111,
        1.47408,
        1.46208,
        1.46489,
        1.38765,
        1.39749,
        1.39908,
        1.46065,
        1.4728,
        1.44573,
        1.43653,
        1.45499,
        1.43166,
        1.45358,
        1.47638,
        1.43211,
        1.43576,
        1.46757,
        1.45595,
        1.44182,
        1.43836,
        1.42812,
        1.42632,
        1.39731,
        1.41427,
        1.41512,
        1.46456,
        1.44165,
        1.48123,
        1.46869,
        1.42858,
        1.4531,
        1.47569,
        1.39383,
        1.44211,
        1.43089,
        1.42801,
        1.39645,
        1.42459,
        1.42027,
        1.46753,
        1.46308,
        1.44046,
        1.53267,
        1.39153,
        1.3375,
        1.40878,
        1.51811,
        1.49907,
        1.34538,
        1.42875,
        1.30575,
        1.48119,
        1.45541,
        1.60577,
        1.49857,
        2.06837,
        1.8544,
        1.38869,
        1.31816,
        1.47165,
        1.39432,
        1.47874,
        1.44151,
        1.48004,
        1.42601,
        1.41593,
        1.47211,
        1.46501,
        1.4229,
        1.45542,
        1.53801,
        1.44144,
        1.44009,
        1.51836,
        1.53967,
        1.49295,
        1.43192,
        1.38157,
        1.45568,
        1.48164,
        1.46922,
        1.37237,
        1.42206,
        1.44326,
        1.41933,
        1.36232,
        1.39384,
        1.4666,
        1.41907,
        1.4281,
        1.46989,
        1.43518,
        1.37557,
        1.43417,
        1.41863,
        1.42263,
        1.41847,
        1.45645,
        1.43836,
        1.48406,
        1.45028,
        1.4824,
        1.4723,
        1.50116,
        1.43984,
        1.42611,
        1.40765,
        1.4373,
        1.50964,
        1.52616,
        1.45922,
        1.50066,
        1.45315,
        1.47938,
        1.50339,
        1.47844,
        1.45177,
        1.49031,
        1.46194,
        1.37119,
        1.45423,
        1.48499,
        1.37475,
        1.46665,
        1.42382,
        1.46465,
        1.51069,
        1.453,
        1.44402,
        1.42138,
        1.45802,
        1.46876,
        1.44557,
        1.44992,
        1.46138,
        1.42808,
        1.43097,
        1.42865,
        1.44756,
        1.4413,
        1.48327,
        1.44591,
        1.44593,
        1.47751,
        1.50264,
        1.47756,
        1.45253,
        1.4893,
        1.50427,
        1.46456,
        1.47555,
        1.44638,
        1.46855,
        1.51479,
        1.53335,
        1.47473,
        1.48356,
        1.48244,
        1.43887,
        1.48744,
        1.44882,
        1.40327,
        1.47099,
        1.47707,
        1.50048,
        1.50304,
        1.45256,
        1.49122,
        1.48993,
        1.48168,
        1.42285,
        1.47839,
        1.45805,
        1.45164,
        1.50902,
        1.45607,
        1.48429,
        1.46138,
        1.46949,
        1.45408,
        1.44809,
        1.47749,
        1.43162,
        1.44617,
        1.47343,
        1.48578,
        1.4539,
        1.41776,
        1.46129,
        1.44716,
        1.48445,
        1.50637,
        1.49788,
        1.44817,
        1.42874,
        1.48575,
        1.4794,
        1.45122,
        1.48446,
        1.44561,
        1.43101,
        1.43769,
        1.46843,
        1.45195,
        1.48886,
        1.48617,
        1.49816,
        1.4847,
        1.51219,
        1.45576,
        1.44283,
        1.42725,
        1.45893,
        1.46644,
        1.44848,
        1.47443,
        1.44811,
        1.43393,
        1.44376,
        1.44096,
        1.47778,
        1.44757,
        1.43059,
        1.45636,
        1.47919,
        1.48159,
        1.50482,
        1.49058,
        1.47351,
        1.45825,
        1.46626,
        1.59314,
        1.39585,
        1.47287,
        1.46806,
        1.62042,
        1.62729,
        1.49362,
        1.58793,
        1.58442,
        1.62532,
        1.53468,
        1.55073,
        1.61727,
        1.55855,
        1.6768,
        1.53561,
        1.59624,
        1.3344,
        1.55131,
        1.41935,
        1.80585,
        1.61738,
        1.54621,
        1.5672,
        1.51013,
        1.5928,
        1.61039,
        1.66396,
        1.68791,
        1.57995,
        1.61604,
        1.65244,
        1.70635,
        1.74393,
        1.71306,
        1.68638,
        1.6866,
        1.68977,
        1.73183,
        1.74509,
        1.69165,
        1.72492,
        1.7891,
        1.70844,
        1.78505,
        1.67619,
        1.67065,
        1.62028,
        1.77216,
        1.76249,
        1.81134,
        1.62705,
        1.58469,
        1.9852,
        1.92539,
        1.6689,
        1.71774,
        1.72254,
        1.7229,
        1.61199,
        1.67613,
        1.62277,
        1.5221,
        1.57352,
        1.42069,
        1.59668,
        1.4415,
        1.4108,
        1.16819,
        1.16536,
        1.68944,
        1.49998,
        1.43616,
        1.3051,
        1.74145,
        1.54689,
        1.60744,
        1.57243,
        1.41033,
        1.48967,
        1.60129,
        1.54623,
        1.62267,
        1.50529,
        1.46949,
        1.49268,
        1.40292,
        1.47018,
        1.52122,
        1.52726,
        1.47281,
        1.52468,
        1.52855,
        1.45919,
        1.50076,
        1.58531,
        1.51487,
        1.5047,
        1.47632,
        1.48739,
        1.47301,
        1.5254,
        1.45932,
        1.45138,
        1.45799,
        1.41474,
        1.45903,
        1.45929,
        1.488,
        1.46239,
        1.48015,
        1.47835,
        1.4888,
        1.46559,
        1.52316,
        1.47614,
        1.49959,
        1.50034,
        1.46006,
        1.45865,
        1.51858,
        1.52126,
        1.43122,
        1.45132,
        1.48899,
        1.51676,
        1.49549,
        1.43541,
        1.4956,
        1.51725,
        1.49877,
        1.502,
        1.45445,
        1.52317,
        1.49493,
        1.53666,
        1.52355,
        1.45689,
        1.45345,
        1.56106,
        1.54308,
        1.5326,
        1.5437,
        1.48672,
        1.44823,
        1.49056,
        1.5396,
        1.51655,
        1.55148,
        1.49395,
        1.48963,
        1.50022,
        1.48784,
        1.47068,
        1.50401,
        1.53241,
        1.43802,
        1.52971,
        1.47639,
        1.52662,
        1.58915,
        1.5003,
        1.50309,
        1.4461,
        1.52676,
        1.51189,
        1.52413,
        1.51253,
        1.45493,
        1.47246,
        1.47011,
        1.52976,
        1.47609,
        1.48734,
        1.51282,
        1.45141,
        1.52552,
        1.48797,
        1.52093,
        1.52027,
        1.48013,
        1.49713,
        1.56054,
        1.50787,
        1.4012,
        1.46602,
        1.37958,
        1.47084,
        1.41778,
        1.49633,
        1.51623,
        1.39746,
        1.44594,
        1.48528,
        1.46092,
        1.56776,
        1.41954,
        1.4592,
        1.45572,
        1.37103,
        1.38685,
        1.42154,
        1.47697,
        1.53472,
        1.33723,
        1.34922,
        1.50959,
        1.25171,
        1.99781,
        1.48748,
        1.38576,
        1.37221,
        1.41801,
        1.40638,
        1.4912,
        1.57135,
        1.46068,
        1.47345,
        1.45409,
        1.51957,
        1.47658,
        1.60093,
        1.50845,
        1.4043,
        1.35394,
        1.53556,
        1.4875,
        1.41252,
        1.44705,
        1.42761,
        1.4173,
        1.47609,
        1.44713,
        1.50882,
        1.48979,
        1.49006,
        1.4078,
        1.44542,
        1.45061,
        1.55862,
        1.47717,
        1.45156,
        null,
        1.34478,
        1.45197,
        1.51549,
        1.42673,
        1.32321,
        1.47492,
        1.60412,
        1.55148,
        1.61665,
        1.78772,
        1.49742,
        1.33914,
        1.36551,
        1.49423,
        1.55604,
        1.45926,
        1.47012,
        1.62793,
        1.43376,
        1.32219,
        1.67053,
        1.92914,
        1.64427,
        1.53505,
        1.4083,
        1.54966,
        1.67621,
        1.56989,
        1.39634,
        1.58093,
        1.7931,
        1.72826,
        null,
        1.39402,
        1.4121,
        1.31344,
        1.37281,
        1.36179,
        1.54304,
        1.61714,
        1.50084,
        1.45335,
        1.45399,
        1.46714,
        1.53068,
        1.54274,
        1.50298,
        1.49089,
        1.53004,
        1.55157,
        1.50676,
        1.48273,
        1.43331,
        1.4625,
        1.4365,
        1.374,
        1.43137,
        1.45947,
        1.49568,
        1.40169,
        1.45973,
        1.42969,
        1.45828,
        1.46498,
        1.4644,
        1.49179,
        1.52362,
        1.47459,
        1.47941,
        1.49533,
        1.40309,
        1.41217,
        1.48339,
        1.50397,
        1.53694,
        1.48407,
        1.47819,
        1.48709,
        1.44399,
        1.44483,
        1.47351,
        1.45178,
        1.46975,
        1.45182,
        1.47622,
        1.45416,
        1.46661,
        1.46837,
        1.51648,
        1.4593,
        1.42093,
        1.4183,
        1.44443,
        1.46206,
        1.43644,
        1.45662,
        1.47946,
        1.47455,
        1.46587,
        1.46192,
        1.42091,
        1.47559,
        1.46157,
        1.47534,
        1.53708,
        1.50254,
        1.4765,
        1.41256,
        1.4385,
        1.45468,
        1.49745,
        1.50069,
        1.46854,
        1.4513,
        1.42204,
        1.45811,
        1.45205,
        1.45427,
        1.49314,
        1.5079,
        1.51364,
        1.39571,
        1.44348,
        1.4549,
        1.436,
        1.47921,
        1.41307,
        1.46485,
        1.47252,
        1.44975,
        1.49567,
        1.4833,
        1.50629,
        1.40417,
        1.40929,
        1.41996,
        1.45848,
        1.47793,
        1.48953,
        1.45043,
        1.50467,
        1.52241,
        1.51199,
        1.43818,
        1.50342,
        1.43649,
        1.46431,
        1.43626,
        1.40616,
        1.43214,
        1.46108,
        1.46506,
        1.48518,
        1.48625,
        1.46712,
        1.46085,
        1.44237,
        1.47156,
        1.45459,
        1.43618,
        1.44735,
        1.46604,
        1.47758,
        1.47757,
        1.46568,
        1.45149,
        1.43184,
        1.50863,
        1.51004,
        1.50358,
        1.52197,
        1.4956,
        1.50246,
        1.50255,
        1.42471,
        1.44799,
        1.48107,
        1.4085,
        1.449,
        1.42493,
        1.47192,
        1.48032,
        1.49142,
        1.53052,
        1.5089,
        1.44438,
        1.51076,
        1.51542,
        1.524,
        1.48775,
        1.44333,
        1.486,
        1.55008,
        1.59224,
        1.57723,
        1.55633,
        1.58858,
        1.5083,
        1.47162,
        1.51203,
        1.54487,
        1.48923,
        1.49031,
        1.48082,
        1.48293,
        1.50267,
        1.49315,
        1.46017,
        1.43022,
        1.46579,
        1.46119,
        1.48127,
        1.46419,
        1.43112,
        1.46275,
        1.4498,
        1.441,
        1.46608,
        1.42681,
        1.44131,
        1.46103,
        1.49524,
        1.53229,
        1.50309,
        1.46092,
        1.45532,
        1.41911,
        1.5059,
        1.52418,
        1.46145,
        1.43393,
        1.45754,
        1.48245,
        1.45429,
        1.48853,
        1.4557,
        1.4902,
        1.45291,
        1.43318,
        1.47263,
        1.488,
        1.45387,
        1.43394,
        1.47623,
        1.4981,
        1.47571,
        1.47063,
        1.48207,
        1.54935,
        1.4724,
        1.45874,
        1.51581,
        1.48958,
        1.49324,
        1.44683,
        1.42153,
        1.49714,
        1.52284,
        1.52921,
        1.57132,
        1.44895,
        1.40969,
        1.39724,
        1.42602,
        1.42925,
        1.42309,
        1.48109,
        1.46088,
        1.46812,
        1.48394,
        1.42344,
        1.42373,
        1.45497,
        1.45618,
        1.4617,
        1.42604,
        1.43413,
        1.41261,
        1.40112,
        1.42644,
        1.47219,
        1.43443,
        1.39345,
        1.41996,
        1.44389,
        1.48704,
        1.49862,
        1.49158,
        1.47916,
        1.4268,
        1.47781,
        1.4643,
        1.45987,
        1.37974,
        1.43248,
        1.42883,
        1.51482,
        1.52568,
        1.49506,
        1.43926,
        1.32287,
        1.38377,
        1.5067,
        1.48824,
        1.34075,
        1.40723,
        1.23388,
        1.11329,
        1.46656,
        1.26799,
        1.43993,
        1.48252,
        1.63846,
        1.40262,
        1.33498,
        1.46515,
        1.47166,
        1.48066,
        1.4718,
        1.41378,
        1.50306,
        1.4446,
        1.41135,
        1.47054,
        1.44333,
        1.42103,
        1.4267,
        1.41222,
        1.44788,
        1.47884,
        1.46851,
        1.47119,
        1.47624,
        1.49365,
        1.48902,
        1.46691,
        1.5942,
        1.51897,
        1.48312,
        1.51028,
        1.39076,
        1.46153,
        1.42073,
        1.3943,
        1.46689,
        1.48018,
        1.46071,
        1.47538,
        1.51968,
        1.39142,
        1.45614,
        1.44209,
        1.46631,
        1.46373,
        1.54416,
        1.42921,
        1.45636,
        1.25753,
        1.45121,
        1.72174,
        1.62281,
        1.56402,
        1.69438,
        1.57413,
        1.55821,
        1.57431,
        1.58206,
        1.59977,
        1.58309,
        1.45347,
        1.5803,
        1.60387,
        1.62346,
        1.62593,
        1.70092,
        1.68952,
        1.63707,
        1.67553,
        1.70801,
        1.68608,
        1.65849,
        1.66022,
        1.65763,
        1.71421,
        1.70407,
        1.68313,
        1.67477,
        1.64907,
        1.60827,
        1.66835,
        1.71865,
        1.72157,
        1.76651,
        1.76586,
        1.76029,
        1.74422,
        1.74946,
        1.70868,
        1.7231,
        1.7335,
        1.72643,
        1.7044,
        1.75709,
        1.73589,
        1.71695,
        1.68926,
        1.78383,
        1.78886,
        1.90441,
        1.81896,
        1.74981,
        1.7342,
        1.77871,
        1.70841,
        1.71053,
        1.72287,
        1.62366,
        1.71055,
        1.63778,
        1.56122,
        1.55943,
        1.55481,
        1.52472,
        1.53147,
        1.52519,
        1.54119,
        1.61031,
        1.63009,
        1.59285,
        1.55414,
        1.54448,
        1.54332,
        1.51912,
        1.52662,
        1.48718,
        1.50016,
        1.51298,
        1.50792,
        1.5402,
        1.53723,
        1.53479,
        1.49742,
        1.50494,
        1.49975,
        1.49135,
        1.47513,
        1.48622,
        1.50333,
        1.5624,
        1.46821,
        1.44586,
        1.41786,
        1.45934,
        1.46158,
        1.56618,
        1.50293,
        1.43641,
        1.48282,
        1.46911,
        1.45008,
        1.49334,
        1.46236,
        1.46767,
        1.48266,
        1.4772,
        1.49507,
        1.4965,
        1.4767,
        1.47624,
        1.45887,
        1.53066,
        1.48293,
        1.49122,
        1.45981,
        1.46889,
        1.46358,
        1.45114,
        1.4367,
        1.48071,
        1.48848,
        1.47156,
        1.43515,
        1.44379,
        1.39345,
        1.39634,
        1.54692,
        1.48754,
        1.43082,
        1.4045,
        1.38934,
        1.52928,
        1.48532,
        1.3708,
        1.39929,
        1.33892,
        1.34757,
        1.46148,
        1.47483,
        1.50339,
        1.47131,
        1.4116,
        1.42932,
        1.42841,
        1.4783,
        1.5166,
        1.47249,
        1.44498,
        1.49309,
        1.45963,
        1.45543,
        1.4858,
        1.47237,
        1.47954,
        1.38987,
        1.42701,
        1.46586,
        1.45749,
        1.44537,
        1.50406,
        1.51028,
        1.44954,
        1.45807,
        1.51032,
        1.44661,
        1.46547,
        1.45064,
        1.47291,
        1.32081,
        1.18141,
        1.46567,
        1.50703,
        1.56052,
        1.46446,
        1.49729,
        1.50262,
        1.43645,
        1.46027,
        1.46948,
        1.41168,
        1.47019,
        1.49852,
        1.48204,
        1.47498,
        1.47165,
        1.4699,
        1.48593,
        1.46911,
        1.41405,
        1.43643,
        1.50406,
        1.47987,
        1.48731,
        1.4751,
        1.46893,
        1.49951,
        1.43862,
        1.47753,
        1.46334,
        1.49789,
        1.43089,
        1.51502,
        1.51869,
        1.45873,
        1.47986,
        1.48136,
        1.47116,
        1.44393,
        1.46684,
        1.45632,
        1.44752,
        1.45574,
        1.48646,
        1.47961,
        1.44851,
        1.44016,
        1.43529,
        1.44144,
        1.4623,
        1.43487,
        1.47003,
        1.48747,
        1.43716,
        1.51438,
        1.50612,
        1.47907,
        1.48955,
        1.50371,
        1.44594,
        1.4606,
        1.49211,
        1.47385,
        1.45407,
        1.44296,
        1.45342,
        1.46254,
        1.4645,
        1.42417,
        1.45427,
        1.45916,
        1.42737,
        1.46121,
        1.466,
        1.4875,
        1.4458,
        1.45187,
        1.43085,
        1.49298,
        1.5177,
        1.40218,
        1.40572,
        1.44672,
        1.40961,
        1.47409,
        1.4817,
        1.40936,
        1.45506,
        1.52431,
        1.52515,
        1.45717,
        1.42666,
        1.47594,
        1.49826,
        1.50391,
        1.43795,
        1.42851,
        1.47173,
        1.46131,
        1.52627,
        1.51018,
        1.51589,
        1.50023,
        1.51603,
        1.48235,
        1.45244,
        1.45839,
        1.41692,
        1.44286,
        1.42115,
        1.46612,
        1.47764,
        1.47668,
        1.43182,
        1.47769,
        1.41348,
        1.44684,
        1.44522,
        1.46239,
        1.46847,
        1.49763,
        1.51237,
        1.43654,
        1.46683,
        1.45218,
        1.44074,
        1.43478,
        1.40492,
        1.45068,
        1.40793,
        1.45326,
        1.44022,
        1.4839,
        1.48648,
        1.46635,
        1.4315,
        1.4042,
        1.42543,
        1.43801,
        1.42235,
        1.43153,
        1.43459,
        1.49914,
        1.46066,
        1.42972,
        1.49183,
        1.46676,
        1.42495,
        1.46555,
        1.46902,
        1.45168,
        1.50336,
        1.38912,
        1.42591,
        1.47825,
        1.50686,
        1.44824,
        1.47778,
        1.45092,
        1.44569,
        1.52244,
        1.54428,
        1.44629,
        1.49774,
        1.45837,
        1.35612,
        1.442,
        1.39033,
        1.34434,
        1.54324,
        1.56249,
        1.32752,
        1.24176,
        1.32915,
        1.55451,
        1.54886,
        1.50144,
        1.51495,
        1.51245,
        1.49942,
        1.46048,
        1.46676,
        1.40022,
        1.47442,
        1.4612,
        1.45793,
        1.46028,
        1.4716,
        1.43563,
        1.37489,
        1.38364,
        1.42403,
        1.46495,
        1.44773,
        1.43779,
        1.49017,
        1.46512,
        1.47115,
        1.4801,
        1.4811,
        1.46143,
        1.45296,
        1.43833,
        1.44312,
        1.51189,
        1.47801,
        1.47235,
        1.47158,
        1.4513,
        1.44495,
        1.47533,
        1.5083,
        1.52005,
        1.48415,
        1.50441,
        1.50911,
        1.47159,
        1.48412,
        1.44001,
        1.41964,
        1.56235,
        1.51065,
        1.46879,
        1.44038,
        1.39252,
        1.52165,
        1.54553,
        1.39784,
        1.4203,
        1.42164,
        1.48338,
        1.48605,
        1.43765,
        1.46829,
        1.44303,
        1.46954,
        1.48197,
        1.46924,
        1.48519,
        1.42201,
        1.51416,
        1.52829,
        1.46967,
        1.51995,
        1.44998,
        1.42377,
        1.49106,
        1.49289,
        1.50431,
        1.49118,
        1.45434,
        1.5194,
        1.41934,
        1.51151,
        1.49469,
        1.50138,
        1.53353,
        1.49423,
        1.46205,
        1.49207,
        1.51849,
        1.44252,
        1.45465,
        1.50342,
        1.48757,
        1.51362,
        1.50668,
        1.51062,
        1.51385,
        1.51215,
        1.4639,
        1.4549,
        1.52941,
        1.53142,
        1.50459,
        1.4954,
        1.52905,
        1.52559,
        1.49473,
        1.5262,
        1.49916,
        1.5352,
        1.50901,
        1.49035,
        1.51119,
        1.52078,
        1.45362,
        1.49008,
        1.52239,
        1.50434,
        1.50093,
        1.43725,
        1.4441,
        1.4778,
        1.47655,
        1.47193,
        1.44888,
        1.50293,
        1.45829,
        1.4478,
        1.43851,
        1.43138,
        1.46436,
        1.50588,
        1.49236,
        1.52735,
        1.50342,
        1.4345,
        1.46301,
        1.48633,
        1.46222,
        1.47964,
        1.49976,
        1.54933,
        1.50295,
        1.51004,
        1.49183,
        1.47359,
        1.54037,
        1.5216,
        1.46195,
        1.50612,
        1.4889,
        1.48842,
        1.4772,
        1.601,
        1.52707,
        1.50788,
        1.48123,
        1.48565,
        1.48781,
        1.56305,
        1.47313,
        1.53442,
        1.53003,
        1.64652,
        1.61911,
        1.60985,
        1.64574,
        1.58361,
        1.43239,
        1.53738,
        1.43794,
        1.73426,
        1.6573,
        1.70843,
        1.70639,
        1.77587,
        1.74427,
        1.74332,
        1.66938,
        1.81493,
        1.71556,
        1.7592,
        1.7058,
        1.68773,
        1.68194,
        1.71544,
        1.78597,
        1.83687,
        1.7349,
        1.7808,
        1.69299,
        1.64263,
        1.63604,
        1.72172,
        1.68812,
        1.6224,
        1.67693,
        1.65196,
        1.62715,
        1.53849,
        1.56992,
        1.55096,
        1.56042,
        1.56363,
        1.56007,
        1.48512,
        1.50667,
        1.51189,
        1.48212,
        1.52326,
        1.567,
        1.50776,
        1.54018,
        1.53518,
        1.48734,
        1.48796,
        1.5298,
        1.51752,
        1.40367,
        1.50784,
        1.44408,
        1.46101,
        1.52784,
        1.50248,
        1.48525,
        1.46226,
        1.47036,
        1.45047,
        1.46277,
        1.48585,
        1.46037,
        1.50512,
        1.52863,
        1.44574,
        1.47934,
        1.46925,
        1.48772,
        1.40359,
        1.4654,
        1.43176,
        1.51005,
        1.49566,
        1.43771,
        1.45667,
        1.46765,
        1.4066,
        1.43486,
        1.49592,
        1.44111,
        1.43795,
        1.48766,
        1.47544,
        1.42582,
        1.41742,
        1.4369,
        1.46977,
        1.45265,
        1.43571,
        1.43267,
        1.47277,
        1.46338,
        1.47036,
        1.46155,
        1.47721,
        1.4542,
        1.47285,
        1.47226,
        1.45567,
        1.46067,
        1.43018,
        1.42343,
        1.44289,
        1.45586,
        1.43131,
        1.43794,
        1.44592,
        1.45681,
        1.435,
        1.44972,
        1.43765,
        1.42761,
        1.46488,
        1.47018,
        1.44186,
        1.44008,
        1.49401,
        1.46159,
        1.47908,
        1.45025,
        1.43101,
        1.45163,
        1.45361,
        1.46298,
        1.4586,
        1.49837,
        1.4742,
        1.4735,
        1.47257,
        1.4694,
        1.4654,
        1.48111,
        1.50498,
        1.45037,
        1.48974,
        1.4471,
        1.47148,
        1.44746,
        1.44785,
        1.48752,
        1.48833,
        1.45124,
        1.46038,
        1.50014,
        1.4632,
        1.48628,
        1.48156,
        1.50109,
        1.48763,
        1.43114,
        1.5314,
        1.44227,
        1.47343,
        1.47636,
        1.43364,
        1.51311,
        1.50362,
        1.45934,
        1.50602,
        1.42564,
        1.46205,
        1.50719,
        1.46827,
        1.43937,
        1.46292,
        1.561,
        1.50445,
        1.55906,
        1.65514,
        1.44685,
        1.36251,
        1.54294,
        1.84931,
        1.73858,
        1.66896,
        1.76598,
        1.50945,
        1.33356,
        1.5061,
        1.56882,
        1.55629,
        1.4155,
        1.45939,
        1.43176,
        1.47762,
        1.47116,
        1.4029,
        1.52399,
        1.48529,
        1.36183,
        1.48863,
        1.51497,
        1.45169,
        1.38118,
        1.38734,
        1.45309,
        1.44376,
        1.4314,
        1.48211,
        1.46137,
        1.47434,
        1.42477,
        1.40953,
        1.45226,
        1.48539,
        1.46072,
        1.44439,
        1.5151,
        1.4935,
        1.48964,
        1.47318,
        1.48384,
        1.43271,
        1.58032,
        1.4817,
        1.36935,
        1.37043,
        1.42515,
        1.44535,
        1.52821,
        1.46005,
        1.44751,
        1.43121,
        1.44113,
        1.4441,
        1.46414,
        1.38623,
        1.40876,
        1.46033,
        1.42945,
        1.42114,
        1.46967,
        1.5075,
        1.49446,
        1.44239,
        1.47668,
        1.43752,
        1.48296,
        1.46509,
        1.43869,
        1.45189,
        1.45013,
        1.45581,
        1.47032,
        1.40548,
        1.42254,
        1.43566,
        1.4336,
        1.43645,
        1.50479,
        1.46863,
        1.41596,
        1.45316,
        1.42409,
        1.45415,
        1.4201,
        1.47459,
        1.53533,
        1.47941,
        1.46813,
        1.48017,
        1.4297,
        1.45557,
        1.42862,
        1.47631,
        1.43489,
        1.47768,
        1.46635,
        1.4882,
        1.46257,
        1.48681,
        1.39168,
        1.44572,
        1.4979,
        1.48071,
        1.46373,
        1.43327,
        1.41666,
        1.42595,
        1.41476,
        1.42905,
        1.46635,
        1.43453,
        1.45026,
        1.41668,
        1.44152,
        1.48227,
        1.46511,
        1.41705,
        1.41554,
        1.46859,
        1.44664,
        1.46217,
        1.47149,
        1.47722,
        1.46611,
        1.50503,
        1.4605,
        1.45897,
        1.47443,
        1.44401,
        1.42269,
        1.46118,
        1.50754,
        1.53746,
        1.52057,
        1.40873,
        1.40987,
        1.483,
        1.42322,
        1.43532,
        1.44908,
        1.45288,
        1.43434,
        1.45509,
        1.47825,
        1.49321,
        1.44366,
        1.44332,
        1.39835,
        1.42078,
        1.48203,
        1.4918,
        1.45722,
        1.38968,
        1.44163,
        1.43881,
        1.47415,
        1.49112,
        1.44201,
        1.41803,
        1.4046,
        1.43548,
        1.3854,
        1.37335,
        1.27988,
        1.39561,
        1.52419,
        1.40202,
        1.39213,
        1.38545,
        1.50909,
        1.48068,
        1.6924,
        1.89752,
        1.58348,
        1.20077,
        1.38011,
        1.31065,
        1.66174,
        1.41608,
        1.30006,
        1.40795,
        1.53137,
        1.46055,
        1.41244,
        1.42068,
        1.48692,
        1.33453,
        1.35899,
        1.27897,
        1.5185,
        1.42454,
        1.36892,
        1.39799,
        1.34631,
        1.41949,
        1.47434,
        1.49015,
        1.51009,
        1.42137,
        1.51516,
        1.36639,
        1.38542,
        1.439,
        1.4207,
        1.43272,
        1.38672,
        1.36469,
        1.4073,
        1.44787,
        1.42408,
        1.35024,
        1.43632,
        1.3921,
        1.46676,
        1.43427,
        1.48138,
        1.36561,
        1.41222,
        1.42987,
        1.39183,
        1.33175,
        1.44231,
        1.38943,
        1.41253,
        1.47066,
        1.39563,
        1.38956,
        1.44217,
        1.52393,
        1.46635,
        1.31954,
        1.41513,
        1.49941,
        1.40559,
        1.44229,
        1.38003,
        1.22813,
        1.37781,
        1.31243,
        1.31604,
        1.40658,
        1.45381,
        1.22702,
        1.41157,
        1.46353,
        1.4585,
        1.65253,
        1.45179,
        1.28082,
        1.32871,
        1.179,
        1.38693,
        1.31217,
        1.40776,
        1.42287,
        1.51811,
        1.35451,
        1.51521,
        1.50259,
        1.55996,
        1.5878,
        1.44679,
        1.34962,
        1.54205,
        1.71114,
        1.84773,
        1.6395,
        1.408,
        1.47081,
        1.74376,
        1.80016,
        1.76952,
        1.95725,
        1.84296,
        1.95804,
        1.51596,
        1.64485,
        1.72211,
        1.58337,
        1.58009,
        1.60196,
        1.59493,
        1.49145,
        1.36577,
        1.5444,
        1.45365,
        1.41947,
        1.47609,
        1.40659,
        1.43079,
        1.59197,
        1.5442,
        1.48471,
        1.4767,
        1.54444,
        1.53859,
        1.44588,
        1.34676,
        1.53177,
        1.55179,
        1.53075,
        1.43246,
        1.53444,
        1.50994,
        1.4988,
        1.48597,
        1.53072,
        1.45543,
        1.4329,
        1.42572,
        1.47444,
        1.5416,
        1.51708,
        1.49959,
        1.48597,
        1.4529,
        1.41099,
        1.43236,
        1.44301,
        1.4084,
        1.45977,
        1.43468,
        1.49804,
        1.47017,
        1.43888,
        1.48179,
        1.44551,
        1.39448,
        1.43494,
        1.43122,
        1.42385,
        1.42048,
        1.44568,
        1.41722,
        1.4266,
        1.46494,
        1.38953,
        1.38793,
        1.41739,
        1.42663,
        1.49424,
        1.50526,
        1.51613,
        1.4281,
        1.45667,
        1.44682,
        1.43291,
        1.46668,
        1.4811,
        1.47302,
        1.46285,
        1.42621,
        1.43903,
        1.42973,
        1.57186,
        1.51647,
        1.43658,
        1.49407,
        1.43275,
        1.44913,
        1.47171,
        1.45257,
        1.44377,
        1.45659,
        1.42711,
        1.50545,
        1.52239,
        1.47085,
        1.54212,
        1.51775,
        1.4849,
        1.45916,
        1.41297,
        1.38791,
        1.41508,
        1.47886,
        1.4416,
        1.46931,
        1.46197,
        1.45071,
        1.42995,
        1.4308,
        1.5169,
        1.57496,
        1.49781,
        1.44556,
        1.51025,
        1.45447,
        1.457,
        1.5021,
        1.42389,
        1.44284,
        1.44202,
        1.39005,
        1.43502,
        1.47671,
        1.41966,
        1.39549,
        1.37836,
        1.43322,
        1.44913,
        1.46421,
        1.50316,
        1.47641,
        1.48584,
        1.53087,
        1.5309,
        1.43376,
        1.4537,
        1.43723,
        1.45999,
        1.42667,
        1.42392,
        1.43642,
        1.51278,
        1.50797,
        1.44915,
        1.46751,
        1.45019,
        1.47275,
        1.5009,
        1.44617,
        1.40376,
        1.42804,
        1.36629,
        1.47519,
        1.44891,
        1.47477,
        1.4833,
        1.42877,
        1.42433,
        1.40941,
        1.51425,
        1.38461,
        1.53414,
        1.50285,
        1.57086,
        1.55009,
        1.53693,
        1.5432,
        1.52011,
        1.65882,
        1.64635,
        1.50002,
        1.40935,
        1.34591,
        1.37932,
        1.87508,
        1.61653,
        1.58165,
        1.32865,
        1.60585,
        1.40015,
        1.43741,
        1.43007,
        1.4859,
        1.43166,
        1.50301,
        1.57229,
        1.44701,
        1.53356,
        1.50099,
        1.42994,
        1.5338,
        1.39793,
        1.31786,
        1.51236,
        1.44844,
        1.50459,
        1.4386,
        1.40187,
        1.44726,
        1.43567,
        1.55204,
        1.41692,
        1.49095,
        1.47922,
        1.44552,
        1.46291,
        1.41294,
        1.46747,
        1.44826,
        1.45337,
        1.46339,
        1.49031,
        1.4643,
        1.45301,
        1.5069,
        1.48117,
        1.43809,
        1.49692,
        1.4762,
        1.42226,
        1.45515,
        1.43692,
        1.41639,
        1.48216,
        1.52499,
        1.4427,
        1.44965,
        1.48887,
        1.4852,
        1.41197,
        1.42443,
        1.42032,
        1.42505,
        1.44727,
        1.41577,
        1.48765,
        1.45372,
        1.38452,
        1.39715,
        1.45147,
        1.42923,
        1.4512,
        1.46445,
        1.44584,
        1.37741,
        1.46354,
        1.45789,
        1.51208,
        1.48369,
        1.43444,
        1.43051,
        1.4685,
        1.46135,
        1.50573,
        1.55186,
        1.49023,
        1.45012,
        1.41393,
        1.46277,
        1.43387,
        1.51821,
        1.50699,
        1.5028,
        1.45356,
        1.47408,
        1.51952,
        1.52359,
        1.55546,
        1.48411,
        1.51264,
        1.50903,
        1.49305,
        1.48988,
        1.40368,
        1.5762,
        1.49601,
        1.52027,
        1.47463,
        1.42312,
        1.43823,
        1.47198,
        1.51137,
        1.55352,
        1.50996,
        1.52901,
        1.45729,
        1.52543,
        1.49441,
        1.52411,
        1.49814,
        1.50783,
        1.50484,
        1.51486,
        1.51523,
        1.4424,
        1.46273,
        1.48367,
        1.50112,
        1.45196,
        1.45773,
        1.46087,
        1.52357,
        1.47521,
        1.45014,
        1.43884,
        1.45065,
        1.4424,
        1.5274,
        1.46735,
        1.39816,
        1.56308,
        1.46268,
        1.4903,
        1.44867,
        1.47898,
        1.334,
        1.45186,
        1.53802,
        1.50482,
        1.3914,
        1.41912,
        1.49798,
        1.4058,
        1.40972,
        1.45968,
        1.50249,
        1.46019,
        1.37833,
        1.44582,
        1.46246,
        1.52019,
        1.54644,
        1.40519,
        1.52291,
        1.30029,
        1.36507,
        1.35644,
        1.42758,
        1.46959,
        1.52854,
        1.40486,
        1.28353,
        1.38066,
        1.52035,
        1.45082,
        1.33025,
        1.30388,
        1.69411,
        null,
        1.48544,
        1.47651,
        1.43373,
        1.41207,
        1.43768,
        1.43265,
        1.40279,
        1.432,
        1.45632,
        1.43595,
        1.42191,
        1.40082,
        1.43518,
        1.421,
        1.39255,
        1.44938,
        1.48291,
        1.44874,
        1.47912,
        1.45281,
        1.45479,
        1.4602,
        1.45919,
        1.45037,
        1.45833,
        1.46516,
        1.47308,
        1.43327,
        1.48746,
        1.49752,
        1.47775,
        1.4517,
        1.4977,
        1.52946,
        1.47696,
        1.48121,
        1.49796,
        1.48454,
        1.47005,
        1.47045,
        1.46542,
        1.46716,
        1.48818,
        1.46965,
        1.43235,
        1.44279,
        1.47706,
        1.46508,
        1.41628,
        1.45157,
        1.45189,
        1.44083,
        1.4186,
        1.39674,
        1.40013,
        1.40729,
        1.42216,
        1.46162,
        1.5008,
        1.4752,
        1.47594,
        1.42429,
        1.40801,
        1.45418,
        1.47364,
        1.40967,
        1.38823,
        1.49249,
        1.37765,
        1.39894,
        1.43634,
        1.48017,
        1.46329,
        1.45276,
        1.40189,
        1.47391,
        1.44779,
        1.43533,
        1.31549,
        1.46654,
        1.5646,
        1.50181,
        1.53698,
        1.56378,
        1.41892,
        1.31497,
        1.43027,
        1.33204,
        1.29585,
        1.32626,
        1.48088,
        1.48256,
        1.56359,
        1.47949,
        1.41237,
        1.47692,
        1.47394,
        1.39639,
        1.41402,
        1.49856,
        1.47781,
        1.41951,
        1.44728,
        1.50647,
        1.50264,
        1.47231,
        1.48467,
        1.48384,
        1.4939,
        1.48844,
        1.44854,
        1.49264,
        1.44399,
        1.43567,
        1.48475,
        1.46621,
        1.47455,
        1.49279,
        1.45601,
        1.47915,
        1.46663,
        1.43474,
        1.49992,
        1.49465,
        1.42173,
        1.46565,
        1.52568,
        1.51194,
        1.50948,
        1.44128,
        1.45305,
        1.43166,
        1.43186,
        1.45082,
        1.49704,
        1.47171,
        1.47029,
        1.45412,
        1.4504,
        1.44482,
        1.39557,
        1.45169,
        1.43343,
        1.4335,
        1.46422,
        1.44878,
        1.42772,
        1.43215,
        1.41104,
        1.40224,
        1.43657,
        1.43406,
        1.41597,
        1.40411,
        1.41113,
        1.39156,
        1.4276,
        1.4093,
        1.44554,
        1.41995,
        1.44272,
        1.43389,
        1.44868,
        1.45703,
        1.39065,
        1.41365,
        1.46949,
        1.49173,
        1.48189,
        1.47444,
        1.47263,
        1.4917,
        1.46124,
        1.42116,
        1.4604,
        1.48799,
        1.44117,
        1.44872,
        1.48347,
        1.48201,
        1.46904,
        1.51557,
        1.47381,
        1.45665,
        1.45949,
        1.46629,
        1.44073,
        1.45871,
        1.46306,
        1.42917,
        1.44008,
        1.49433,
        1.39283,
        1.4447,
        1.47636,
        1.4414,
        1.46101,
        1.436,
        1.47501,
        1.47387,
        1.44162,
        1.42976,
        1.4519,
        1.44895,
        1.47498,
        1.42877,
        1.39182,
        1.42675,
        1.44008,
        1.44303,
        1.49497,
        1.48901,
        1.42935,
        1.46442,
        1.43589,
        1.40465,
        1.45022,
        1.44492,
        1.39165,
        1.44076,
        1.48182,
        1.43899,
        1.41914,
        1.37477,
        1.455,
        1.4507,
        1.41116,
        1.35117,
        1.44473,
        1.47517,
        1.48435,
        1.43331,
        1.49915,
        1.46722,
        1.43964,
        1.46749,
        1.37472,
        1.44079,
        1.67444,
        1.84854,
        1.36533,
        1.35459,
        1.41072,
        1.55998,
        1.61352,
        1.62669,
        1.56254,
        1.4549,
        1.44147,
        1.39026,
        1.4366,
        1.40311,
        1.41567,
        1.50524,
        1.51075,
        1.47825,
        1.4583,
        1.5226,
        1.49849,
        1.50915,
        1.50126,
        1.46529,
        1.46559,
        1.40219,
        1.45753,
        1.48876,
        1.45274,
        1.43038,
        1.48013,
        1.47097,
        1.48357,
        1.46973,
        1.46182,
        1.45478,
        1.47598,
        1.51972,
        1.44156,
        1.45062,
        1.47505,
        1.47813,
        1.44447,
        1.49749,
        1.50458,
        1.46885,
        1.49916,
        1.4658,
        1.49958,
        1.50661,
        1.44715,
        1.44577,
        1.50975,
        1.48446,
        1.47245,
        1.43802,
        1.45875,
        1.48235,
        1.4402,
        1.46847,
        1.48932,
        1.50179,
        1.50677,
        1.5205,
        1.52039,
        1.48603,
        1.46969,
        1.44993,
        1.52851,
        1.52592,
        1.44208,
        1.49627,
        1.52857,
        1.46342,
        1.50209,
        1.4819,
        1.48179,
        1.48273,
        1.45897,
        1.5312,
        1.49174,
        1.46706,
        1.46802,
        1.47778,
        1.49382,
        1.49873,
        1.55439,
        1.53357,
        1.46637,
        1.46496,
        1.4756,
        1.502,
        1.49703,
        1.49553,
        1.48435,
        1.49231,
        1.53987,
        1.54743,
        1.5278,
        1.51072,
        1.48866,
        1.50453,
        1.53215,
        1.57367,
        1.56306,
        1.5886,
        1.58308,
        1.6325,
        1.63377,
        1.66808,
        1.67226,
        1.63705,
        1.62882,
        1.66763,
        1.68897,
        1.65661,
        1.62919,
        1.62781,
        1.63016,
        1.61786,
        1.64253,
        1.69807,
        1.6334,
        1.65889,
        1.67372,
        1.68575,
        1.67932,
        1.67512,
        1.64339,
        1.69858,
        1.64388,
        1.66533,
        1.63485,
        1.66269,
        1.72296,
        1.71961,
        1.70396,
        1.64102,
        1.67368,
        1.70711,
        1.68936,
        1.73871,
        1.67435,
        1.68407,
        1.60418,
        1.54019,
        1.52322,
        1.51282,
        1.57833,
        1.60462,
        1.58812,
        1.56501,
        1.4535,
        1.50177,
        1.69068,
        1.70997,
        1.60153,
        1.61275,
        1.323,
        1.61935,
        1.37013,
        1.45721,
        1.47897,
        1.37967,
        1.40163,
        1.44572,
        1.42861,
        1.42822,
        1.48112,
        1.45574,
        1.39971,
        1.51296,
        1.47803,
        1.46908,
        1.41162,
        1.49665,
        1.44633,
        1.51675,
        1.48664,
        1.43005,
        1.40166,
        1.43188,
        1.4577,
        1.51211,
        1.50775,
        1.45391,
        1.47128,
        1.43537,
        1.44931,
        1.45642,
        1.45399,
        1.40985,
        1.44074,
        1.48744,
        1.44566,
        1.47123,
        1.45345,
        1.42542,
        1.44192,
        1.49788,
        1.47921,
        1.47027,
        1.45433,
        1.44344,
        1.46471,
        1.48044,
        1.5027,
        1.50208,
        1.48114,
        1.44372,
        1.46087,
        1.4813,
        1.48474,
        1.46485,
        1.44533,
        1.42607,
        1.46183,
        1.44519,
        1.42748,
        1.46357,
        1.45469,
        1.45549,
        1.47775,
        1.49898,
        1.46302,
        1.37581,
        1.4255,
        1.45042,
        1.46218,
        1.46402,
        1.46364,
        1.4148,
        1.44363,
        1.44291,
        1.43796,
        1.46278,
        1.42501,
        1.43852,
        1.45762,
        1.4874,
        1.44546,
        1.47708,
        1.49912,
        1.45139,
        1.45234,
        1.45722,
        1.47033,
        1.46776,
        1.47306,
        1.43147,
        1.42996,
        1.47374,
        1.4574,
        1.4312,
        1.43866,
        1.40434,
        1.43283,
        1.40185,
        1.46314,
        1.45096,
        1.45003,
        1.47187,
        1.47765,
        1.46135,
        1.4508,
        1.50723,
        1.49947,
        1.49124,
        1.49151,
        1.4381,
        1.48983,
        1.4765,
        1.49211,
        1.49116,
        1.48704,
        1.49177,
        1.51507,
        1.51695,
        1.44353,
        1.47403,
        1.52949,
        1.52023,
        1.50021,
        1.50047,
        1.46993,
        1.47182,
        1.50191,
        1.47183,
        1.49368,
        1.50794,
        1.46618,
        1.46773,
        1.50295,
        1.51802,
        1.49834,
        1.47535,
        1.43782,
        1.396,
        1.49732,
        1.50401,
        1.5213,
        1.49355,
        1.48394,
        1.53243,
        1.53101,
        1.49274,
        1.49363,
        1.49303,
        1.46816,
        1.46278,
        1.44784,
        1.4606,
        1.42678,
        1.29643,
        1.36921,
        1.54382,
        1.42236,
        1.39101,
        1.32305,
        1.14118,
        1.51118,
        1.49106,
        1.62441,
        1.52743,
        1.44966,
        1.49815,
        1.43044,
        1.52181,
        1.4976,
        1.44198,
        1.48503,
        1.53189,
        1.45444,
        1.42696,
        1.45096,
        1.49563,
        1.47311,
        1.4424,
        1.40642,
        1.43196,
        1.45489,
        1.44536,
        1.49981,
        1.48499,
        1.4447,
        1.50529,
        1.44576,
        1.46104,
        1.45591,
        1.48087,
        1.46823,
        1.44932,
        1.42332,
        1.46975,
        1.4329,
        1.44002,
        1.44703,
        1.43542,
        1.42463,
        1.44206,
        1.44194,
        1.44318,
        1.42043,
        1.42447,
        1.43727,
        1.42132,
        1.43088,
        1.45811,
        1.43119,
        1.4444,
        1.4869,
        1.43793,
        1.45611,
        1.43995,
        1.46095,
        1.49811,
        1.43834,
        1.43478,
        1.47556,
        1.42276,
        1.46403,
        1.45884,
        1.46143,
        1.42293,
        1.40947,
        1.44661,
        1.45527,
        1.43682,
        1.44636,
        1.39062,
        1.45106,
        1.48564,
        1.45139,
        1.45587,
        1.48468,
        1.48223,
        1.47768,
        1.46891,
        1.45198,
        1.46403,
        1.44925,
        1.45437,
        1.41375,
        1.43831,
        1.44165,
        1.45395,
        1.47133,
        1.45339,
        1.4606,
        1.44906,
        1.45064,
        1.4494,
        1.45898,
        1.45113,
        1.42608,
        1.47614,
        1.47278,
        1.45057,
        1.4387,
        1.40714,
        1.42677,
        1.47016,
        1.48773,
        1.48901,
        1.47299,
        1.41456,
        1.39292,
        1.43505,
        1.4607,
        1.43596,
        1.4359,
        1.45934,
        1.48424,
        1.4529,
        1.44128,
        1.43758,
        1.43964,
        1.46303,
        1.46941,
        1.41903,
        1.38505,
        1.43354,
        1.44552,
        1.42569,
        1.4686,
        1.47837,
        1.41691,
        1.45732,
        1.49854,
        1.46265,
        1.51208,
        1.47848,
        1.42684,
        1.44099,
        1.51373,
        1.45699,
        1.43501,
        1.474,
        1.45814,
        1.50564,
        1.44752,
        1.46734,
        1.47882,
        1.48972,
        1.50778,
        1.52267,
        1.51459,
        1.41776,
        1.47337,
        1.48836,
        1.47366,
        1.53486,
        1.42525,
        1.42255,
        1.43398,
        1.37603,
        1.42005,
        1.41333,
        1.46666,
        1.41995,
        1.33685,
        1.41981,
        1.49264,
        1.42909,
        1.41507,
        1.43523,
        1.45391,
        1.32852,
        1.42318,
        1.50122,
        1.53424,
        1.48801,
        1.46717,
        1.5332,
        1.45755,
        1.51148,
        1.47469,
        1.46046,
        1.53341,
        1.48598,
        1.45218,
        1.47729,
        1.5157,
        1.47664,
        1.48038,
        1.46975,
        1.51274,
        1.47961,
        1.48902,
        1.48798,
        1.49747,
        1.55539,
        1.48707,
        1.51823,
        1.48432,
        1.46804,
        1.49581,
        1.48147,
        1.50619,
        1.5126,
        1.45647,
        1.47285,
        1.47402,
        1.45747,
        1.47825,
        1.44644,
        1.44551,
        1.52713,
        1.53951,
        1.47101,
        1.51867,
        1.48749,
        1.4449,
        1.50711,
        1.46572,
        1.47325,
        1.48092,
        1.48502,
        1.55035,
        1.51271,
        1.46351,
        1.46578,
        1.46239,
        1.45662,
        1.42759,
        1.45573,
        1.46672,
        1.44296,
        1.46554,
        1.44105,
        1.46737,
        1.47241,
        1.487,
        1.48022,
        1.48868,
        1.43216,
        1.45427,
        1.45736,
        1.48943,
        1.49692,
        1.47606,
        1.47547,
        1.48047,
        1.44484,
        1.49077,
        1.48605,
        1.45461,
        1.48863,
        1.4816,
        1.47241,
        1.51745,
        1.55138,
        1.49939,
        1.50027,
        1.54746,
        1.53164,
        1.47872,
        1.47408,
        1.46603,
        1.44877,
        1.50691,
        1.53667,
        1.52349,
        1.50781,
        1.51249,
        1.50867,
        1.54921,
        1.55043,
        1.60369,
        1.62372,
        1.62765,
        1.63835,
        1.61366,
        1.64242,
        1.60578,
        1.62443,
        1.63721,
        1.65184,
        1.67188,
        1.63761,
        1.62112,
        1.62314,
        1.61072,
        1.60732,
        1.58506,
        1.63657,
        1.65127,
        1.67419,
        1.6707,
        1.69767,
        1.67875,
        1.69595,
        1.73002,
        1.66726,
        1.63859,
        1.65375,
        1.66745,
        1.68297,
        1.70791,
        1.68895,
        1.69132,
        1.71308,
        1.7222,
        1.68205,
        1.7009,
        1.77065,
        1.7274,
        1.71223,
        1.62639,
        1.65292,
        1.60464,
        1.59825,
        1.58185,
        1.52482,
        1.52568,
        1.51949,
        1.57936,
        1.55082,
        1.57273,
        1.57113,
        1.51814,
        1.5434,
        1.49086,
        1.44249,
        1.35135,
        1.40905,
        1.56707,
        1.68508,
        1.69695,
        1.64681,
        1.50835,
        1.591,
        1.622,
        1.59137,
        1.40208,
        1.30811,
        1.5495,
        1.5626,
        1.48899,
        1.37573,
        1.3916,
        1.42836,
        1.41817,
        1.46783,
        1.43683,
        1.35819,
        1.38104,
        1.5007,
        1.45816,
        1.42855,
        1.47181,
        1.51316,
        1.52179,
        1.4834,
        1.43836,
        1.41296,
        1.4242,
        1.45532,
        1.48386,
        1.47682,
        1.44624,
        1.44448,
        1.44385,
        1.41472,
        1.45777,
        1.43447,
        1.40655,
        1.439,
        1.4462,
        1.44851,
        1.46615,
        1.51284,
        1.53371,
        1.48325,
        1.47948,
        1.49877,
        1.51427,
        1.48449,
        1.50262,
        1.47269,
        1.48527,
        1.45524,
        1.434,
        1.42351,
        1.4638,
        1.49372,
        1.50948,
        1.49003,
        1.51497,
        1.50027,
        1.47808,
        1.43927,
        1.45589,
        1.46448,
        1.47871,
        1.49743,
        1.52383,
        1.49394,
        1.44613,
        1.45443,
        1.5348,
        1.51372,
        1.45968,
        1.50763,
        1.49351,
        1.48255,
        1.49401,
        1.51514,
        1.52628,
        1.48752,
        1.49108,
        1.46696,
        1.46699,
        1.46563,
        1.48125,
        1.4218,
        1.46808,
        1.52231,
        1.49332,
        1.49599,
        1.52567,
        1.42511,
        1.49041,
        1.47177,
        1.44464,
        1.49811,
        1.47385,
        1.45584,
        1.4864,
        1.47281,
        1.42417,
        1.42759,
        1.47124,
        1.50971,
        1.43177,
        1.41657,
        1.49728,
        1.47721,
        1.49252,
        1.49127,
        1.48705,
        1.49734,
        1.47355,
        1.41716,
        1.45185,
        1.43495,
        1.46122,
        1.41607,
        1.48383,
        1.49122,
        1.43012,
        1.44691,
        1.44655,
        1.4969,
        1.50788,
        1.4491,
        1.46002,
        1.48508,
        1.4525,
        1.46697,
        1.47722,
        1.41994,
        1.44837,
        1.42222,
        1.46385,
        1.40319,
        1.42858,
        1.43987,
        1.43699,
        1.43065,
        1.50477,
        1.43858,
        1.4505,
        1.46062,
        1.44504,
        1.4487,
        1.42429,
        1.42769,
        1.50499,
        1.46775,
        1.46869,
        1.43535,
        1.44179,
        1.45855,
        1.42616,
        1.42163,
        1.42597,
        1.54036,
        1.50747,
        1.43197,
        1.42823,
        1.48899,
        1.46214,
        1.4893,
        1.50391,
        1.57043,
        1.53181,
        1.45611,
        1.48931,
        1.28089,
        1.29781,
        1.44903,
        1.58929,
        1.4777,
        1.32422,
        1.41054,
        1.32995,
        1.55913,
        1.52094,
        1.48042,
        1.43415,
        1.55811,
        1.392,
        1.44172,
        1.48407,
        1.46246,
        1.39472,
        1.45656,
        1.41614,
        1.4723,
        1.45197,
        1.40525,
        1.43701,
        1.44248,
        1.42428,
        1.47306,
        1.44861,
        1.44746,
        1.46186,
        1.47719,
        1.44942,
        1.43789,
        1.45708,
        1.42184,
        1.43021,
        1.44029,
        1.42794,
        1.41232,
        1.45911,
        1.44289,
        1.46269,
        1.42712,
        1.47273,
        1.47596,
        1.46884,
        1.45413,
        1.48214,
        1.46672,
        1.47521,
        1.48468,
        1.44106,
        1.44741,
        1.45397,
        1.43653,
        1.4702,
        1.48273,
        1.46975,
        1.43834,
        1.48016,
        1.45679,
        1.48825,
        1.45076,
        1.49874,
        1.49516,
        1.45399,
        1.48977,
        1.47574,
        1.42748,
        1.43274,
        1.49696,
        1.44973,
        1.44624,
        1.44471,
        1.47657,
        1.46822,
        1.46439,
        1.45177,
        1.46692,
        1.47245,
        1.44713,
        1.44603,
        1.45217,
        1.43541,
        1.44919,
        1.48791,
        1.4347,
        1.43421,
        1.47991,
        1.46686,
        1.42918,
        1.4683,
        1.48458,
        1.44392,
        1.45338,
        1.45374,
        1.43606,
        1.45895,
        1.43407,
        1.39495,
        1.44163,
        1.43942,
        1.42839,
        1.46553,
        1.46191,
        1.44887,
        1.48719,
        1.48796,
        1.47587,
        1.45608,
        1.45077,
        1.45606,
        1.45135,
        1.45762,
        1.44802,
        1.46826,
        1.46177,
        1.43129,
        1.39363,
        1.41554,
        1.40347,
        1.42308,
        1.41692,
        1.4508,
        1.4644,
        1.42445,
        1.4458,
        1.47542,
        1.45205,
        1.45021,
        1.43981,
        1.39146,
        1.43644,
        1.46381,
        1.4496,
        1.44017,
        1.43378,
        1.41067,
        1.42807,
        1.40297,
        1.49533,
        1.45084,
        1.43762,
        1.43615,
        1.48024,
        1.41864,
        1.4401,
        1.43934,
        1.44388,
        1.48259,
        1.46709,
        1.46124,
        1.46344,
        1.45137,
        1.45616,
        1.4682,
        1.46647,
        1.42273,
        1.45586,
        1.46302,
        1.46004,
        1.48971,
        1.47315,
        1.42855,
        1.47261,
        1.48299,
        1.47158,
        1.45378,
        1.38817,
        1.4493,
        1.47166,
        1.44778,
        1.43638,
        1.46874,
        1.52055,
        1.52533,
        1.46507,
        1.54278,
        1.37875,
        1.35886,
        1.38835,
        1.3102,
        1.47433,
        1.69419,
        1.73886,
        1.56952,
        1.51895,
        1.56488,
        1.4951,
        1.44533,
        1.42436,
        1.47808,
        1.44555,
        1.46562,
        1.4202,
        1.46821,
        1.49666,
        1.46091,
        1.4516,
        1.50689,
        1.43332,
        1.4256,
        1.49433,
        1.45345,
        1.40692,
        1.48943,
        1.51323,
        1.43456,
        1.44109,
        1.48509,
        1.50531,
        1.48959,
        1.45354,
        1.44878,
        1.41339,
        1.44398,
        1.43826,
        1.42844,
        1.41484,
        1.45753,
        1.46047,
        1.51417,
        1.51202,
        1.43577,
        1.43954,
        1.43724,
        1.45352,
        1.45443,
        1.47798,
        1.48529,
        1.50896,
        1.50885,
        1.42268,
        1.43039,
        1.48111,
        1.49151,
        1.49884,
        1.47474,
        1.45777,
        1.44127,
        1.47631,
        1.4646,
        1.47565,
        1.44035,
        1.48147,
        1.46469,
        1.42123,
        1.4594,
        1.481,
        1.47234,
        1.46436,
        1.47898,
        1.47718,
        1.45681,
        1.43288,
        1.42253,
        1.4017,
        1.44644,
        1.47782,
        1.431,
        1.41742,
        1.45266,
        1.48767,
        1.45964,
        1.44778,
        1.44505,
        1.46275,
        1.41235,
        1.43976,
        1.4966,
        1.47208,
        1.39885,
        1.44865,
        1.46393,
        1.56052,
        1.4246,
        1.45775,
        1.50941,
        1.46116,
        1.48725,
        1.46206,
        1.46328,
        1.48827,
        1.45863,
        1.44642,
        1.46892,
        1.48044,
        1.55964,
        1.57225,
        1.54776,
        1.51524,
        1.48229,
        1.48773,
        1.57627,
        1.41232,
        1.31828,
        1.16096,
        1.32765,
        1.48273,
        1.0848,
        1.38377,
        1.39495,
        1.47431,
        1.63512,
        1.49063,
        1.52441,
        1.59952,
        1.64717,
        1.55941,
        1.6946,
        1.6939,
        1.62073,
        1.63134,
        1.62672,
        1.60323,
        1.73231,
        1.6198,
        1.61029,
        1.62174,
        1.72187,
        1.68148,
        1.6685,
        1.62983,
        1.6874,
        1.64117,
        1.65819,
        1.63224,
        1.60576,
        1.61011,
        1.61302,
        1.57662,
        1.55803,
        1.52482,
        1.62644,
        1.55917,
        1.49035,
        1.50963,
        1.53002,
        1.53095,
        1.50773,
        1.50373,
        1.51924,
        1.54502,
        1.49889,
        1.4861,
        1.51738,
        1.61159,
        1.60704,
        1.49334,
        1.61566,
        1.51127,
        1.44917,
        1.46397,
        1.43708,
        1.50997,
        1.47874,
        1.41442,
        1.56344,
        1.64228,
        1.47554,
        1.54371,
        1.46129,
        1.41041,
        1.58285,
        1.44658,
        1.48008,
        1.42875,
        1.46556,
        1.46783,
        1.49021,
        1.55735,
        1.5148,
        1.47918,
        1.44928,
        1.42866,
        1.51241,
        1.46493,
        1.40476,
        1.39816,
        1.43702,
        1.48898,
        1.52985,
        1.50821,
        1.47432,
        1.46728,
        1.46332,
        1.42455,
        1.46521,
        1.43722,
        1.36154,
        1.42155,
        1.44333,
        1.46664,
        1.45281,
        1.42371,
        1.44259,
        1.44097,
        1.41939,
        1.45845,
        1.51154,
        1.48938,
        1.46739,
        1.4523,
        1.44239,
        1.46495,
        1.45302,
        1.42796,
        1.43246,
        1.44138,
        1.47879,
        1.43589,
        1.49606,
        1.4418,
        1.42217,
        1.39077,
        1.45187,
        1.42778,
        1.42091,
        1.38704,
        1.42467,
        1.42802,
        1.44746,
        1.4314,
        1.4289,
        1.457,
        1.47236,
        1.39763,
        1.38216,
        1.39773,
        1.47174,
        1.48416,
        1.48371,
        1.49522,
        1.42043,
        1.42694,
        1.46332,
        1.44138,
        1.47442,
        1.49824,
        1.42118,
        1.48957,
        1.45987,
        1.45615,
        1.45688,
        1.47039,
        1.44695,
        1.44162,
        1.491,
        1.49183,
        1.41011,
        1.46065,
        1.44156,
        1.42485,
        1.37754,
        1.39043,
        1.47488,
        1.48942,
        1.46263,
        1.51649,
        1.44092,
        1.45321,
        1.44398,
        1.47516,
        1.53701,
        1.44969,
        1.43449,
        1.40056,
        1.50251,
        1.48374,
        1.46721,
        1.4158,
        1.43591,
        1.48495,
        1.4617,
        1.40746,
        1.46112,
        1.43478,
        1.465,
        1.4848,
        1.44153,
        1.4576,
        1.42979,
        1.41968,
        1.45129,
        1.48777,
        1.51769,
        1.44936,
        1.44185,
        1.43371,
        1.43148,
        1.47637,
        1.48384,
        1.40622,
        1.4683,
        1.49332,
        1.49804,
        1.46741,
        1.44513,
        1.45113,
        1.50917,
        1.43086,
        1.42986,
        1.43757,
        1.41887,
        1.44638,
        1.42315,
        1.41067,
        1.41945,
        1.37413,
        1.43503,
        1.37489,
        1.39258,
        1.44321,
        1.413,
        1.38085,
        1.47474,
        1.48627,
        1.43461,
        1.4452,
        1.44142,
        1.48964,
        1.41013,
        1.42764,
        1.35866,
        1.36065,
        1.39011,
        1.4195,
        1.4288,
        1.35221,
        1.47839,
        1.44989,
        1.42482,
        1.48109,
        1.46289,
        1.40503,
        1.48406,
        1.47401,
        1.41832,
        1.50947,
        1.4893,
        1.26561,
        1.22569,
        1.24756,
        1.5257,
        1.46955,
        1.50259,
        1.57188,
        1.40136,
        1.53361,
        1.3875,
        1.50489,
        1.47247,
        1.39934,
        1.41086,
        1.40802,
        1.52816,
        1.52997,
        1.44647,
        1.39208,
        1.42317,
        1.39571,
        1.42286,
        1.43411,
        1.36497,
        1.55605,
        1.44061,
        1.43291,
        1.41381,
        1.42457,
        1.53872,
        1.46722,
        1.45813,
        1.24597,
        1.36604,
        1.44178,
        1.40724,
        1.43857,
        1.25169,
        1.38306,
        1.38388,
        1.35677,
        1.45626,
        1.42106,
        1.20676,
        1.32223,
        1.38472,
        1.18095,
        1.3298,
        1.2833,
        1.28365,
        1.43516,
        1.50131,
        1.48051,
        1.28338,
        1.24066,
        1.22326,
        1.43035,
        1.51537,
        1.39513,
        1.43964,
        1.452,
        1.52435,
        1.45057,
        1.3681,
        1.42886,
        1.44781,
        1.46879,
        1.43395,
        1.38384,
        1.37843,
        1.40287,
        1.3906,
        1.52675,
        1.46688,
        1.44405,
        1.40707,
        1.32146,
        1.51116,
        1.42802,
        1.43599,
        1.48826,
        1.38707,
        1.37839,
        1.4241,
        1.42755,
        1.47472,
        1.49574,
        1.51907,
        1.4926,
        1.49367,
        1.46604,
        1.47629,
        1.52106,
        1.45435,
        1.41724,
        1.3771,
        1.38131,
        1.40037,
        1.40649,
        1.47993,
        1.47222,
        1.46707,
        1.5308,
        1.37062,
        1.36588,
        1.49,
        1.50964,
        1.47275,
        1.41031,
        1.46664,
        1.41785,
        1.42262,
        1.47175,
        1.43564,
        1.41038,
        1.44136,
        1.47827,
        1.4829,
        1.46768,
        1.45097,
        1.47341,
        1.44358,
        1.45559,
        1.46184,
        1.37601,
        1.44306,
        1.55838,
        1.39442,
        1.43795,
        1.4299,
        1.51554,
        1.33376,
        1.42747,
        1.47146,
        1.38431,
        1.41808,
        1.46615,
        1.47997,
        1.42347,
        1.53593,
        1.42999,
        1.43751,
        1.40504,
        1.49217,
        1.39294,
        1.48269,
        1.4467,
        1.40275,
        1.44075,
        1.45083,
        1.41597,
        1.50075,
        1.5191,
        1.48238,
        1.55862,
        1.4301,
        1.39032,
        1.61396,
        1.88051,
        1.1762,
        2.17712,
        1.42024,
        1.62293,
        1.50328,
        1.47143,
        1.37909,
        1.46957,
        1.37659,
        1.46397,
        1.42847,
        1.43041,
        1.40847,
        1.55799,
        1.60125,
        1.4677,
        1.43719,
        1.44013,
        1.45413,
        1.40048,
        1.44361,
        1.41446,
        1.47202,
        1.43673,
        1.48857,
        1.43061,
        1.3666,
        1.43814,
        1.42236,
        1.41105,
        1.46228,
        1.3922,
        1.48322,
        1.42573,
        1.51814,
        1.3678,
        1.47283,
        1.46038,
        1.46004,
        1.50896,
        1.38905,
        1.36693,
        1.38768,
        1.40139,
        1.48249,
        1.46888,
        1.4908,
        1.43197,
        1.39495,
        1.352,
        1.46209,
        1.45158,
        1.49502,
        1.44013,
        1.40368,
        1.46039,
        1.42323,
        1.50411,
        1.38629,
        1.44602,
        1.46092,
        1.4411,
        1.37974,
        1.37815,
        1.38383,
        1.47463,
        1.42003,
        1.39385,
        1.43703,
        1.48255,
        1.40091,
        1.46078,
        1.44095,
        1.39637,
        1.43169,
        1.45853,
        1.46565,
        1.41148,
        1.4381,
        1.43678,
        1.47357,
        1.52212,
        1.48533,
        1.44905,
        1.42742,
        1.37059,
        1.436,
        1.49794,
        1.49842,
        1.41377,
        1.43859,
        1.52472,
        1.49789,
        1.39592,
        1.40016,
        1.45233,
        1.43771,
        1.49282,
        1.4541,
        1.4544,
        1.54394,
        1.53583,
        1.47982,
        1.44606,
        1.53106,
        1.52082,
        1.50334,
        1.48034,
        1.43137,
        1.46708,
        1.43822,
        1.46395,
        null,
        1.43833,
        1.48029,
        1.46015,
        1.44785,
        1.46661,
        1.40478,
        1.43335,
        1.44968,
        1.46258,
        1.46333,
        1.49077,
        1.48073,
        1.47862,
        1.4685,
        1.48542,
        1.46003,
        1.39963,
        1.42967,
        1.40898,
        1.42278,
        1.413,
        1.45778,
        1.47554,
        1.48425,
        1.43625,
        1.3924,
        1.44083,
        1.4808,
        1.4606,
        1.45673,
        1.47313,
        1.43251,
        1.41972,
        1.44788,
        1.45996,
        1.45372,
        1.44382,
        1.42733,
        1.47123,
        1.51212,
        1.46335,
        1.40954,
        1.46075,
        1.43445,
        1.43058,
        1.48786,
        1.45461,
        1.41199,
        1.4658,
        1.41473,
        1.40235,
        1.46966,
        1.46925,
        1.47198,
        1.40785,
        1.411,
        1.41464,
        1.37631,
        1.38359,
        1.42588,
        1.43017,
        1.46415,
        1.50012,
        1.45758,
        1.47317,
        1.46734,
        1.45681,
        1.43499,
        1.42608,
        1.43679,
        1.42951,
        1.42102,
        1.43105,
        1.44856,
        1.44202,
        1.42003,
        1.44948,
        1.4898,
        1.48997,
        1.42955,
        1.43903,
        1.44873,
        1.49043,
        1.521,
        1.46223,
        1.43711,
        1.48002,
        1.48413,
        1.49217,
        1.50079,
        1.48279,
        1.46233,
        1.44429,
        1.47783,
        1.49052,
        1.46191,
        1.44691,
        1.45624,
        1.46145,
        1.44973,
        1.4618,
        1.50381,
        1.56558,
        1.54446,
        1.47614,
        1.46374,
        1.47779,
        1.44297,
        1.42483,
        1.43988,
        1.43939,
        1.47412,
        1.4774,
        1.46713,
        1.45804,
        1.42477,
        1.42889,
        1.49722,
        1.49348,
        1.46389,
        1.46312,
        1.46189,
        1.42676,
        1.44038,
        1.43662,
        1.43631,
        1.49298,
        1.49751,
        1.5014,
        1.52193,
        1.47492,
        1.4525,
        1.50962,
        1.48958,
        1.48907,
        1.46496,
        1.46757,
        1.47828,
        1.4939,
        1.40776,
        1.41231,
        1.43944,
        1.49446,
        1.47224,
        1.42718,
        1.40568,
        1.52822,
        1.54845,
        1.43729,
        1.36023,
        1.5025,
        1.49986,
        1.45889,
        1.38863,
        1.51677,
        1.478,
        1.47649,
        1.50108,
        1.49236,
        1.50259,
        1.45437,
        1.47233,
        1.51374,
        1.48117,
        1.49519,
        1.47244,
        1.46652,
        1.48202,
        1.46601,
        1.48425,
        1.46919,
        1.46555,
        1.48334,
        1.45322,
        1.43637,
        1.43735,
        1.44928,
        1.4556,
        1.4177,
        1.49501,
        1.49196,
        1.42135,
        1.41331,
        1.4411,
        1.43773,
        1.41182,
        1.46533,
        1.43978,
        1.45583,
        1.45917,
        1.43191,
        1.4319,
        1.44535,
        1.43349,
        1.46292,
        1.4523,
        1.46496,
        1.44587,
        1.48746,
        1.43411,
        1.42287,
        1.47026,
        1.44933,
        1.42861,
        1.441,
        1.47202,
        1.49971,
        1.46377,
        1.48627,
        1.5018,
        1.45329,
        1.4583,
        1.46964,
        1.46283,
        1.47006,
        1.49918,
        1.48265,
        1.46241,
        1.44793,
        1.46589,
        1.51626,
        1.47707,
        1.49189,
        1.51255,
        1.4389,
        1.41091,
        1.40109,
        1.3951,
        1.46824,
        1.45865,
        1.45364,
        1.49836,
        1.49812,
        1.47502,
        1.31302,
        1.39241,
        1.32655,
        1.30683,
        1.34365,
        1.26793,
        1.44911,
        1.39047,
        1.34865,
        1.31058,
        1.7342,
        1.88317,
        1.52053,
        1.36398,
        1.43353,
        1.38407,
        1.43312,
        1.54418,
        1.31243,
        1.29257,
        1.44289,
        1.37217,
        1.43837,
        1.53707,
        1.5324,
        1.50256,
        1.49769,
        1.53029,
        1.55538,
        1.60064,
        1.56215,
        1.55038,
        1.53347,
        1.6919,
        1.57676,
        1.49374,
        1.64801,
        1.62859,
        1.54187,
        1.55887,
        1.64412,
        1.54535,
        1.58372,
        1.5635,
        1.63958,
        1.67565,
        1.57108,
        1.59686,
        1.65215,
        1.66006,
        1.68215,
        1.56393,
        1.66933,
        1.67241,
        1.64349,
        1.62114,
        1.64282,
        1.62415,
        1.65269,
        1.64913,
        1.60219,
        1.59188,
        1.64354,
        1.59483,
        1.63663,
        1.61817,
        1.61033,
        1.6085,
        1.6227,
        1.5768,
        1.56725,
        1.54703,
        1.53727,
        1.50676,
        1.50184,
        1.45127,
        1.41337,
        1.50191,
        1.53561,
        1.48929,
        1.45387,
        1.53915,
        1.56711,
        1.45708,
        1.46101,
        1.46929,
        1.50123,
        1.48771,
        1.50625,
        1.55797,
        1.46705,
        1.46387,
        1.45952,
        1.45462,
        1.4885,
        1.49456,
        1.49985,
        1.46571,
        1.43161,
        1.42829,
        1.46262,
        1.42768,
        1.44213,
        1.45936,
        1.40875,
        1.41605,
        1.42192,
        1.44451,
        1.4099,
        1.39144,
        1.42778,
        1.41265,
        1.42023,
        1.46438,
        1.43506,
        1.45235,
        1.48396,
        1.46603,
        1.46792,
        1.47445,
        1.44719,
        1.41269,
        1.46825,
        1.4241,
        1.43568,
        1.42746,
        1.43073,
        1.46262,
        1.43372,
        1.41408,
        1.4432,
        1.44668,
        1.45554,
        1.45917,
        1.47802,
        1.48574,
        1.43818,
        1.47899,
        1.46519,
        1.43674,
        1.49218,
        1.49167,
        1.43361,
        1.42352,
        1.43102,
        1.43075,
        1.46753,
        1.42773,
        1.43429,
        1.45737,
        1.45642,
        1.43604,
        1.48706,
        1.50216,
        1.47051,
        1.45594,
        1.45411,
        1.4098,
        1.41754,
        1.41361,
        1.40125,
        1.48338,
        1.47606,
        1.43425,
        1.43233,
        1.41438,
        1.44792,
        1.45157,
        1.47174,
        1.46776,
        1.42544,
        1.418,
        1.41569,
        1.44791,
        1.41943,
        1.44799,
        1.44629,
        1.4276,
        1.4296,
        1.45994,
        1.4388,
        1.41252,
        1.43677,
        1.45874,
        1.42306,
        1.40527,
        1.44631,
        1.47599,
        1.4331,
        1.42022,
        1.41541,
        1.44763,
        1.42705,
        1.41196,
        1.44494,
        1.44421,
        1.46319,
        1.45965,
        1.48726,
        1.43266,
        1.44244,
        1.4549,
        1.4461,
        1.46156,
        1.46371,
        1.44703,
        1.39491,
        1.39566,
        1.39418,
        1.4004,
        1.43478,
        1.41994,
        1.4575,
        1.46084,
        1.41946,
        1.3994,
        1.41958,
        1.45308,
        1.42292,
        1.39909,
        1.43679,
        1.41198,
        1.41558,
        1.43214,
        1.42221,
        1.49854,
        1.45297,
        1.44908,
        1.38915,
        1.39784,
        1.417,
        1.4203,
        1.45412,
        1.4294,
        1.43726,
        1.43225,
        1.39501,
        1.45138,
        1.45871,
        1.43083,
        1.39598,
        1.42077,
        1.46037,
        1.45911,
        1.46241,
        1.50087,
        1.56508,
        1.45186,
        1.41973,
        1.40356,
        1.46597,
        1.45957,
        1.41328,
        1.4332,
        1.43673,
        1.42816,
        1.47124,
        1.42254,
        1.41984,
        1.44359,
        1.46595,
        1.48914,
        1.4758,
        1.43965,
        1.4171,
        1.46667,
        1.45151,
        1.50092,
        1.43041,
        1.3843,
        1.4289,
        1.46575,
        1.43411,
        1.47397,
        1.47801,
        1.45295,
        1.44745,
        1.40746,
        1.46978,
        1.45524,
        1.43235,
        1.48191,
        1.47314,
        1.44796,
        1.49925,
        1.50212,
        1.46345,
        1.44835,
        1.46004,
        1.42514,
        1.43598,
        1.44722,
        1.43145,
        1.45962,
        1.4585,
        1.45788,
        1.4712,
        1.44895,
        1.43561,
        1.43295,
        1.43614,
        1.45939,
        1.45454,
        1.46793,
        1.43756,
        1.45308,
        1.41719,
        1.41959,
        1.40772,
        1.43092,
        1.43421,
        1.46112,
        1.43198,
        1.45363,
        1.44693,
        1.4149,
        1.4037,
        1.46314,
        1.44591,
        1.40375,
        1.41119,
        1.43363,
        1.44611,
        1.47217,
        1.47148,
        1.43886,
        1.46974,
        1.44957,
        1.47785,
        1.4748,
        1.49213,
        1.52851,
        1.45447,
        1.46524,
        1.46078,
        1.47004,
        1.47035,
        1.45244,
        1.4591,
        1.46448,
        1.47489,
        1.43289,
        1.43363,
        1.49469,
        1.45924,
        1.45616,
        1.43101,
        1.43146,
        1.44811,
        1.4384,
        1.44653,
        1.43496,
        1.39098,
        1.41213,
        1.46788,
        1.40399,
        1.44361,
        1.46851,
        1.47951,
        1.4674,
        1.4451,
        1.48884,
        1.48688,
        1.47506,
        1.44414,
        1.48611,
        1.44578,
        1.44066,
        1.48951,
        1.487,
        1.47047,
        1.47675,
        1.48431,
        1.51479,
        1.44874,
        1.45579,
        1.47311,
        1.43194,
        1.43933,
        1.45369,
        1.45954,
        1.46,
        1.42911,
        1.48523,
        1.47282,
        1.45149,
        1.49427,
        1.50036,
        1.49939,
        1.46164,
        1.45218,
        1.44775,
        1.39772,
        1.44386,
        1.41698,
        1.4357,
        1.47087,
        1.49695,
        1.4896,
        1.53683,
        1.54715,
        1.40485,
        1.42375,
        1.37612,
        1.51418,
        1.5172,
        1.55447,
        1.45538,
        1.27989,
        1.46153,
        1.39644,
        1.44098,
        1.43246,
        1.39048,
        1.40776,
        1.42095,
        1.50136,
        1.41784,
        1.47092,
        1.47751,
        1.4277,
        1.48171,
        1.51139,
        1.48921,
        1.46819,
        1.42728,
        1.45328,
        1.3906,
        1.4361,
        1.42719,
        1.45928,
        1.4391,
        1.43163,
        1.41404,
        1.41343,
        1.43375,
        1.42508,
        1.46022,
        1.45137,
        1.4418,
        1.4346,
        1.45613,
        1.45812,
        1.44046,
        1.44964,
        1.47833,
        1.45402,
        1.45052,
        1.42535,
        1.43507,
        1.42904,
        1.4852,
        1.47197,
        1.44663,
        1.4147,
        1.47464,
        1.44583,
        1.47618,
        1.44736,
        1.48712,
        1.48002,
        1.46707,
        1.49214,
        1.48385,
        1.45469,
        1.46663,
        1.45452,
        1.4703,
        1.44739,
        1.4293,
        1.4807,
        1.4832,
        1.51404,
        1.46175,
        1.45691,
        1.46141,
        1.46411,
        1.45658,
        1.49247,
        1.51392,
        1.48343,
        1.48901,
        1.44576,
        1.45357,
        1.47162,
        1.48538,
        1.46761,
        1.4311,
        1.41842,
        1.42611,
        1.43885,
        1.46922,
        1.4611,
        1.48548,
        1.44649,
        1.46303,
        1.48782,
        1.40366,
        1.4145,
        1.44023,
        1.39996,
        1.42528,
        1.48405,
        1.44278,
        1.43961,
        1.43674,
        1.43161,
        1.42938,
        1.4084,
        1.46749,
        1.40626,
        1.36943,
        1.41983,
        1.43093,
        1.44319,
        1.48208,
        1.46044,
        1.44795,
        1.4295,
        1.43741,
        1.42023,
        1.43999,
        1.43325,
        1.46348,
        1.40546,
        1.39114,
        1.40983,
        1.44349,
        1.45953,
        1.43805,
        1.43498,
        1.44859,
        1.46076,
        1.41979,
        1.4251,
        1.46079,
        1.44207,
        1.44552,
        1.43441,
        1.46739,
        1.45195,
        1.45874,
        1.45367,
        1.43506,
        1.45768,
        1.45673,
        1.45319,
        1.41922,
        1.42365,
        1.44512,
        1.46312,
        1.4914,
        1.46611,
        1.4596,
        1.46002,
        1.44063,
        1.40649,
        1.46782,
        1.4945,
        1.5025,
        1.49555,
        1.48733,
        1.53437,
        1.53071,
        1.51558,
        1.49861,
        1.51765,
        1.58642,
        1.58231,
        1.56732,
        1.58238,
        1.55993,
        1.53558,
        1.56568,
        1.58852,
        1.5518,
        1.57313,
        1.55746,
        1.56487,
        1.59475,
        1.5761,
        1.60721,
        1.60236,
        1.57061,
        1.58818,
        1.57483,
        1.58796,
        1.63043,
        1.6131,
        1.60487,
        1.62451,
        1.64586,
        1.63752,
        1.62002,
        1.62588,
        1.62947,
        1.55102,
        1.58193,
        1.65364,
        1.67466,
        1.6539,
        1.61522,
        1.65707,
        1.63348,
        1.60089,
        1.60902,
        1.62395,
        1.55965,
        1.57526,
        1.55926,
        1.58511,
        1.52357,
        1.54413,
        1.55263,
        1.52093,
        1.50471,
        1.53162,
        1.53381,
        1.53511,
        1.51446,
        1.49687,
        1.54745,
        1.54427,
        1.48651,
        1.44616,
        1.44682,
        1.44637,
        1.46282,
        1.47095,
        1.49388,
        1.47535,
        1.50766,
        1.46763,
        1.46985,
        1.46311,
        1.46413,
        1.48314,
        1.50512,
        1.4811,
        1.44832,
        1.45611,
        1.46509,
        1.44172,
        1.43835,
        1.4378,
        1.45133,
        1.43915,
        1.43853,
        1.45631,
        1.46334,
        1.4342,
        1.46268,
        1.46585,
        1.47345,
        1.4736,
        1.45402,
        1.47763,
        1.46122,
        1.46774,
        1.47281,
        1.45105,
        1.47587,
        1.4461,
        1.45379,
        1.45707,
        1.41054,
        1.43788,
        1.43708,
        1.43176,
        1.46335,
        1.4367,
        1.44471,
        1.45688,
        1.447,
        1.45881,
        1.46582,
        1.47368,
        1.47642,
        1.46033,
        1.46002,
        1.46269,
        1.45078,
        1.45419,
        1.44178,
        1.42844,
        1.42697,
        1.43604,
        1.40706,
        1.40787,
        1.43851,
        1.45782,
        1.45763,
        1.43392,
        1.39142,
        1.43265,
        1.43771,
        1.44902,
        1.41826,
        1.41968,
        1.45066,
        1.44008,
        1.46252,
        1.45321,
        1.45347,
        1.41002,
        1.4159,
        1.44669,
        1.44051,
        1.40512,
        1.42348,
        1.44196,
        1.43846,
        1.4477,
        1.38575,
        1.42763,
        1.47423,
        1.47329,
        1.44414,
        1.46571,
        1.47144,
        1.48157,
        1.45995,
        1.4635,
        1.4544,
        1.42394,
        1.43841,
        1.39802,
        1.39959,
        1.42298,
        1.4579,
        1.46245,
        1.45724,
        1.42696,
        1.40131,
        1.4229,
        1.41451,
        1.4153,
        1.41081,
        1.46785,
        1.44235,
        1.41612,
        1.43789,
        1.44021,
        1.41335,
        1.44466,
        1.44301,
        1.42493,
        1.42137,
        1.419,
        1.42942,
        1.41368,
        1.41797,
        1.46197,
        1.41786,
        1.40113,
        1.4163,
        1.4146,
        1.46703,
        1.46439,
        1.48162,
        1.47681,
        1.44608,
        1.43322,
        1.45048,
        1.40695,
        1.45513,
        1.41978,
        1.40284,
        1.3865,
        1.4614,
        1.4212,
        1.46043,
        1.45956,
        1.49089,
        1.44617,
        1.40746,
        1.44343,
        1.45596,
        1.44471,
        1.44433,
        1.45247,
        1.4647,
        1.44843,
        1.41938,
        1.43853,
        1.4,
        1.42106,
        1.47172,
        1.45472,
        1.43331,
        1.44994,
        1.51488,
        1.5047,
        1.45059,
        1.49065,
        1.50335,
        1.478,
        1.44531,
        1.45,
        1.42976,
        1.43279,
        1.45293,
        1.48492,
        1.44634,
        1.43103,
        1.4032,
        1.46951,
        1.47441,
        1.4349,
        1.46403,
        1.46585,
        1.40584,
        1.41553,
        1.44324,
        1.41767,
        1.42112,
        1.42792,
        1.4148,
        1.42733,
        1.44779,
        1.40643,
        1.43897,
        1.45541,
        1.4733,
        1.47795,
        1.44933,
        1.47335,
        1.44864,
        1.39704,
        1.4087,
        1.42586,
        1.4356,
        1.4385,
        1.44455,
        1.40593,
        1.46464,
        1.47852,
        1.42799,
        1.42115,
        1.45724,
        1.46651,
        1.43324,
        1.44939,
        1.43749,
        1.45499,
        1.41325,
        1.44306,
        1.40802,
        1.41237,
        1.47655,
        1.50756,
        1.46761,
        1.44954,
        1.41519,
        1.42463,
        1.43313,
        1.42058,
        1.43093,
        1.41508,
        1.4347,
        1.47465,
        1.48579,
        1.47675,
        1.45715,
        1.4505,
        1.46785,
        1.43836,
        1.39802,
        1.4033,
        1.42877,
        1.4798,
        1.44902,
        1.42782,
        1.47422,
        1.44165,
        1.45971,
        1.44713,
        1.42307,
        1.39017,
        1.41789,
        1.45306,
        1.4446,
        1.46424,
        1.4234,
        1.44992,
        1.4501,
        1.46907,
        1.46959,
        1.44045,
        1.47906,
        1.50498,
        1.45494,
        1.46817,
        1.49435,
        1.46463,
        1.42484,
        1.41671,
        1.42221,
        1.4365,
        1.451,
        1.44189,
        1.43705,
        1.4478,
        1.46209,
        1.50441,
        1.47457,
        1.41649,
        1.43982,
        1.46552,
        1.46219,
        1.43622,
        1.45025,
        1.44451,
        1.47402,
        1.46209,
        1.45831,
        1.46604,
        1.46952,
        1.45583,
        1.45596,
        1.43117,
        1.46428,
        1.49884,
        1.47063,
        1.43433,
        1.44214,
        1.47158,
        1.46226,
        1.45282,
        1.40016,
        1.43077,
        1.44015,
        1.47605,
        1.48346,
        1.46813,
        1.49991,
        1.42315,
        1.43647,
        1.41028,
        1.43659,
        1.4576,
        1.45774,
        1.4633,
        1.46546,
        1.44363,
        1.4972,
        1.46734,
        1.47446,
        1.50867,
        1.49427,
        1.48282,
        1.45975,
        1.4494,
        1.42549,
        1.43874,
        1.44,
        1.4712,
        1.46626,
        1.50076,
        1.51498,
        1.48582,
        1.50156,
        1.45496,
        1.44976,
        1.47767,
        1.47799,
        1.46843,
        1.44568,
        1.4741,
        1.45212,
        1.42088,
        1.38042,
        1.43836,
        1.4915,
        1.44529,
        1.45324,
        1.45235,
        1.40479,
        1.42612,
        1.47329,
        1.45544,
        1.47569,
        1.44947,
        1.41532,
        1.43314,
        1.47917,
        1.47148,
        1.43025,
        1.44295,
        1.45494,
        1.48787,
        1.4465,
        1.47391,
        1.46132,
        1.41715,
        1.39177,
        1.4098,
        1.41555,
        1.43586,
        1.43808,
        1.43309,
        1.45644,
        1.48108,
        1.44619,
        1.42489,
        1.42376,
        1.39084,
        1.4158,
        1.45202,
        1.41567,
        1.46376,
        1.44373,
        1.45853,
        1.45576,
        1.45354,
        1.4492,
        1.45886,
        1.4385,
        1.45587,
        1.46088,
        1.43748,
        1.41949,
        1.4333,
        1.43897,
        1.43142,
        1.46219,
        1.46764,
        1.47954,
        1.44779,
        1.44153,
        1.46167,
        1.44418,
        1.46567,
        1.45727,
        1.4555,
        1.45578,
        1.45498,
        1.47158,
        1.48376,
        1.44661,
        1.45579,
        1.40622,
        1.44413,
        1.42889,
        1.42807,
        1.46574,
        1.42104,
        1.42198,
        1.42282,
        1.4418,
        1.426,
        1.42653,
        1.44935,
        1.46422,
        1.44368,
        1.43521,
        1.46248,
        1.42706,
        1.41177,
        1.44365,
        1.47507,
        1.43491,
        1.46461,
        1.44855,
        1.40146,
        1.42082,
        1.40738,
        1.45357,
        1.45341,
        1.44567,
        1.43112,
        1.43617,
        1.42846,
        1.41851,
        1.43581,
        1.48841,
        1.42872,
        1.46113,
        1.44253,
        1.48497,
        1.46878,
        1.48502,
        1.43375,
        1.48453,
        1.45302,
        1.42135,
        1.47652,
        1.41974,
        1.42945,
        1.43096,
        1.43526,
        1.43983,
        1.46107,
        1.44788,
        1.44805,
        1.45246,
        1.48233,
        1.47978,
        1.44494,
        1.43355,
        1.47121,
        1.46148,
        1.43846,
        1.46863,
        1.44493,
        1.43896,
        1.45941,
        1.48083,
        1.44361,
        1.44054,
        1.45345,
        1.40289,
        1.39836,
        1.48145,
        1.49643,
        1.48836,
        1.4413,
        1.46227,
        1.47899,
        1.48527,
        1.50344,
        1.49572,
        1.45716,
        1.4744,
        1.45989,
        1.45317,
        1.47554,
        1.46943,
        1.42602,
        1.48086,
        1.48901,
        1.48891,
        1.49585,
        1.51561,
        1.54845,
        1.55025,
        1.53766,
        1.57374,
        1.55701,
        1.58516,
        1.62983,
        1.573,
        1.54558,
        1.5984,
        1.62454,
        1.64947,
        1.64239,
        1.60174,
        1.6019,
        1.58905,
        1.56727,
        1.57639,
        1.625,
        1.54079,
        1.54302,
        1.58737,
        1.58493,
        1.57309,
        1.62354,
        1.62582,
        1.59866,
        1.61867,
        1.63548,
        1.60103,
        1.61373,
        1.57229,
        1.61783,
        1.59144,
        1.50623,
        1.63165,
        1.61404,
        1.63485,
        1.57454,
        1.58671,
        1.62281,
        1.61485,
        1.62231,
        1.57566,
        1.63403,
        1.58194,
        1.57937,
        1.58513,
        1.54485,
        1.56202,
        1.54423,
        1.48504,
        1.51121,
        1.51208,
        1.57972,
        1.56999,
        1.4647,
        1.50095,
        1.50944,
        1.50146,
        1.49563,
        1.47457,
        1.43307,
        1.40625,
        1.41906,
        1.44645,
        1.46994,
        1.4776,
        1.44822,
        1.46548,
        1.43298,
        1.40804,
        1.46509,
        1.47417,
        1.383,
        1.42575,
        1.44673,
        1.47259,
        1.45802,
        1.42493,
        1.45301,
        1.41133,
        1.44965,
        1.45929,
        1.43136,
        1.41019,
        1.39192,
        1.40913,
        1.43746,
        1.43739,
        1.44365,
        1.4173,
        1.41795,
        1.39974,
        1.40842,
        1.44816,
        1.45503,
        1.38258,
        1.46587,
        1.40809,
        1.44536,
        1.43979,
        1.36452,
        1.36738,
        1.31958,
        1.21823,
        1.32286,
        1.24426,
        1.2136,
        1.38359,
        1.46478,
        1.35853,
        1.38584,
        1.43096,
        1.18837,
        1.68759,
        1.1986,
        1.08566,
        1.22507,
        1.50252,
        1.48391,
        1.39577,
        1.33807,
        1.43154,
        1.44638,
        1.4673,
        1.42119,
        1.40486,
        1.34322,
        1.45167,
        1.46658,
        1.45946,
        1.41414,
        1.42697,
        1.44422,
        1.43122,
        1.40231,
        1.34532,
        1.42149,
        1.51396,
        1.44729,
        1.27946,
        1.44298,
        1.46265,
        1.41824,
        1.34766,
        1.37138,
        1.44948,
        1.44522,
        1.17354,
        1.32581,
        1.49755,
        1.29554,
        1.34196,
        1.58994,
        1.47167,
        1.23803,
        1.42009,
        1.47652,
        1.29836,
        1.41938,
        1.34363,
        1.38818,
        1.47378,
        1.4456,
        1.44626,
        1.48351,
        1.45124,
        1.42574,
        1.40765,
        1.34989,
        1.40635,
        1.34105,
        1.46041,
        1.4487,
        1.44349,
        1.38515,
        1.47317,
        1.45966,
        1.41191,
        1.4509,
        1.42713,
        1.37658,
        1.35797,
        1.38574,
        1.45081,
        1.47411,
        1.42985,
        1.44969,
        1.44494,
        1.52581,
        1.50761,
        1.43424,
        1.47677,
        1.37331,
        1.44254,
        1.48909,
        1.47535,
        1.45157,
        1.516,
        1.4441,
        1.46904,
        1.49921,
        1.51256,
        1.50501,
        1.47052,
        1.52607,
        1.45882,
        1.50301,
        1.49309,
        1.44837,
        1.42708,
        1.49458,
        1.48461,
        1.46348,
        1.43802,
        1.47265,
        1.39183,
        1.43827,
        1.43609,
        1.41406,
        1.47875,
        1.47394,
        1.49674,
        1.46673,
        1.41957,
        1.45247,
        1.49374,
        1.44247,
        1.47809,
        1.48598,
        1.46221,
        1.47092,
        1.42762,
        1.40118,
        1.47538,
        1.44196,
        1.47812,
        1.51417,
        1.40211,
        1.46442,
        1.4694,
        1.46305,
        1.4673,
        1.45838,
        1.42964,
        1.42343,
        1.4912,
        1.48464,
        1.45629,
        1.40583,
        1.46359,
        1.44388,
        1.4578,
        1.49868,
        1.47772,
        1.47756,
        1.40557,
        1.40368,
        1.38184,
        1.42797,
        1.4041,
        1.45926,
        1.39601,
        1.44608,
        1.46816,
        1.46465,
        1.45514,
        1.48952,
        1.42982,
        1.43285,
        1.46687,
        1.43818,
        1.44527,
        1.43317,
        1.39831,
        1.41414,
        1.44244,
        1.48162,
        1.4704,
        1.45623,
        1.44429,
        1.46302,
        1.4675,
        1.46993,
        1.48868,
        1.49687,
        1.45341,
        1.44286,
        1.45141,
        1.51332,
        1.52526,
        1.48152,
        1.4299,
        1.45707,
        1.42966,
        1.49942,
        1.47139,
        1.46624,
        1.55128,
        1.53883,
        1.49274,
        1.4551,
        1.43429,
        1.44885,
        1.46465,
        1.50869,
        1.48119,
        1.42753,
        1.48967,
        1.46191,
        1.42133,
        1.51381,
        1.45454,
        1.49502,
        1.4622,
        1.46972,
        1.45427,
        1.47345,
        1.45357,
        1.4489,
        1.46456,
        1.46365,
        1.49221,
        1.44911,
        1.44969,
        1.50307,
        1.54795,
        1.49373,
        1.46456,
        1.49154,
        1.53067,
        1.47892,
        1.48001,
        1.50244,
        1.50975,
        1.51328,
        1.45282,
        1.51497,
        1.51449,
        1.55009,
        1.46155,
        1.46376,
        1.48339,
        1.48327,
        1.44796,
        1.42774,
        1.44128,
        1.44142,
        1.52221,
        1.46971,
        1.42256,
        1.42519,
        1.44479,
        1.40011,
        1.45108,
        1.41009,
        1.48403,
        1.46363,
        1.36882,
        1.40796,
        1.4428,
        1.44764,
        1.43144,
        1.45069,
        1.43974,
        1.46802,
        1.45937,
        1.44581,
        1.44119,
        1.45406,
        1.43895,
        1.44512,
        1.47504,
        1.46122,
        1.38076,
        1.41919,
        1.43593,
        1.4743,
        1.4443,
        1.40297,
        1.4038,
        1.42413,
        1.4057,
        1.43902,
        1.42277,
        1.48858,
        1.52185,
        1.50172,
        1.47468,
        1.49209,
        1.44134,
        1.41933,
        1.44131,
        1.47151,
        1.50077,
        1.43062,
        1.45212,
        1.54162,
        1.46242,
        1.40991,
        1.42146,
        1.3582,
        1.43197,
        1.45884,
        1.46464,
        1.53114,
        1.41688,
        1.40306,
        1.45706,
        1.42126,
        1.4698,
        1.4989,
        1.51028,
        1.43469,
        1.46943,
        1.4547,
        1.44759,
        1.44773,
        1.41606,
        1.43892,
        1.46034,
        1.46804,
        1.53268,
        1.44961,
        1.42915,
        1.42478,
        1.45274,
        1.48383,
        1.44796,
        1.43121,
        1.41317,
        1.41862,
        1.39947,
        1.40421,
        1.39961,
        1.42236,
        1.42745,
        1.44087,
        1.38732,
        1.39401,
        1.43651,
        1.42782,
        1.41124,
        1.42776,
        1.44495,
        1.42008,
        1.38117,
        1.42877,
        1.43277,
        1.46938,
        1.43301,
        1.46309,
        1.42518,
        1.38981,
        1.40959,
        1.40288,
        1.444,
        1.45028,
        1.41924,
        1.41613,
        1.41739,
        1.41056,
        1.47522,
        1.45056,
        1.42267,
        1.40626,
        1.43606,
        1.43619,
        1.44539,
        1.434,
        1.46399,
        1.46239,
        1.49251,
        1.50709,
        1.49841,
        1.45309,
        1.49988,
        1.44795,
        1.45013,
        1.43085,
        1.48925,
        1.43552,
        1.44479,
        1.46066,
        1.41035,
        1.45774,
        1.52928,
        1.4908,
        1.46686,
        1.41743,
        1.41849,
        1.42034,
        1.46104,
        1.50778,
        1.41197,
        1.36732,
        1.42468,
        1.41277,
        1.41134,
        1.43719,
        1.41206,
        1.44578,
        1.40942,
        1.35033,
        1.39102,
        1.37605,
        1.44752,
        1.42243,
        1.44552,
        1.48626,
        1.45745,
        1.41847,
        1.42119,
        1.38115,
        1.36149,
        1.44002,
        1.43968,
        1.46049,
        1.44226,
        1.43774,
        1.40517,
        1.49888,
        1.43857,
        1.45878,
        1.49726,
        1.47331,
        1.47137,
        1.36623,
        1.43631,
        1.48856,
        1.37148,
        1.46406,
        1.48863,
        1.39379,
        1.52256,
        1.42814,
        1.46152,
        1.51747,
        1.38921,
        1.48484,
        1.52278,
        1.46917,
        1.45749,
        1.42827,
        1.48267,
        1.4728,
        1.48655,
        1.41777,
        1.48604,
        1.45817,
        1.3224,
        1.37661,
        1.46353,
        1.43319,
        1.42119,
        1.39329,
        1.49832,
        1.44225,
        1.43135,
        1.4666,
        1.39407,
        1.45703,
        1.4163,
        1.37784,
        1.51778,
        1.49751,
        1.36851,
        1.45171,
        1.5238,
        1.37145,
        1.35655,
        1.62685,
        1.49531,
        1.54893,
        1.52368,
        1.45634,
        1.52522,
        1.62685,
        1.62043,
        1.42567,
        1.36268,
        1.52059,
        1.74006,
        1.66946,
        1.40579,
        1.4538,
        1.47162,
        1.35099,
        1.59821,
        1.54051,
        1.49781,
        1.84518,
        1.70542,
        1.38823,
        1.71029,
        1.5408,
        1.40866,
        1.32801,
        1.53802,
        1.54884,
        null,
        1.48748,
        1.4542,
        1.45087,
        1.42128,
        1.48057,
        1.46313,
        1.45623,
        1.4741,
        1.41768,
        1.40215,
        1.42917,
        1.39751,
        1.3549,
        1.42329,
        1.46842,
        1.5117,
        1.47634,
        1.49138,
        1.50073,
        1.46388,
        1.41437,
        1.39761,
        1.44765,
        1.43842,
        1.43232,
        1.44443,
        1.43933,
        1.43943,
        1.44421,
        1.39225,
        1.41476,
        1.41674,
        1.41259,
        1.40523,
        1.46845,
        1.48412,
        1.46464,
        1.43249,
        1.44495,
        1.45952,
        1.41595,
        1.46724,
        1.46517,
        1.48845,
        1.46828,
        1.49277,
        1.5079,
        1.45438,
        1.44503,
        1.43926,
        1.41117,
        1.46906,
        1.41005,
        1.45763,
        1.41036,
        1.43168,
        1.37832,
        1.40074,
        1.41754,
        1.50069,
        1.48216,
        1.4202,
        1.37485,
        1.50063,
        1.51185,
        1.49416,
        1.42904,
        1.43834,
        1.46606,
        1.45524,
        1.46526,
        1.45366,
        1.44005,
        1.46801,
        1.40804,
        1.32677,
        1.40402,
        1.47188,
        1.46632,
        1.45403,
        1.47914,
        1.46585,
        1.47722,
        1.42624,
        1.4443,
        1.45618,
        1.47793,
        1.40915,
        1.37191,
        1.40642,
        1.34691,
        1.4224,
        1.40829,
        1.38903,
        1.4211,
        1.41313,
        1.48732,
        1.45581,
        1.41856,
        1.4614,
        1.45605,
        1.47556,
        1.54513,
        1.48791,
        1.41884,
        1.37203,
        1.3848,
        1.39233,
        1.34993,
        1.34594,
        1.30349,
        1.38808,
        1.42167,
        1.4326,
        1.37998,
        1.4256,
        1.43195,
        1.35723,
        1.24138,
        1.38296,
        1.4721,
        1.3333,
        1.27379,
        1.32675,
        1.33042,
        1.33243,
        1.22457,
        1.30775,
        1.32941,
        1.29751,
        1.36915,
        1.13644,
        1.18292,
        1.40423,
        1.55116,
        1.33263,
        1.30971,
        1.23956,
        1.30906,
        1.22905,
        1.16602,
        1.31516,
        1.2971,
        1.31854,
        1.36126,
        1.33013,
        1.45017,
        1.39916,
        1.3297,
        1.3374,
        1.48721,
        1.43164,
        1.41796,
        1.48475,
        1.48044,
        1.47661,
        1.53485,
        1.45506,
        1.50327,
        1.45705,
        1.35589,
        1.37398,
        1.39657,
        1.23608,
        1.45084,
        1.46183,
        1.32875,
        1.26178,
        1.38085,
        1.44141,
        1.73296,
        1.42164,
        1.55246,
        1.56324,
        1.41909,
        1.32137,
        1.33736,
        1.16167,
        1.35454,
        1.32842,
        1.58676,
        1.87772,
        1.54227,
        1.36166,
        1.38248,
        1.47559,
        1.71359,
        1.6379,
        1.47115,
        1.36609,
        1.32771,
        1.42318,
        1.41176,
        1.3463,
        1.62101,
        1.54492,
        1.3522,
        1.36994,
        1.38454,
        1.49349,
        1.43781,
        1.44422,
        1.37944,
        1.33835,
        1.39788,
        1.50537,
        1.44744,
        1.40849,
        1.32169,
        1.48361,
        1.47209,
        1.46878,
        1.39546,
        1.43817,
        1.49133,
        1.52263,
        1.38215,
        1.39879,
        1.47572,
        1.42114,
        1.48005,
        1.40158,
        1.3887,
        1.36506,
        1.37455,
        1.44421,
        1.47986,
        1.43478,
        1.45399,
        1.57159,
        1.5135,
        1.4564,
        1.45259,
        1.34974,
        1.40505,
        1.43792,
        1.50467,
        1.409,
        1.38026,
        1.39042,
        1.43802,
        1.37751,
        1.40886,
        1.41633,
        1.42975,
        1.3507,
        1.41253,
        1.53297,
        1.42177,
        1.4737,
        1.45591,
        1.41682,
        1.39038,
        1.42432,
        1.34237,
        1.35384,
        1.44574,
        1.41593,
        1.41787,
        1.48648,
        1.45257,
        1.48511,
        1.53111,
        1.43445,
        1.47326,
        1.42465,
        1.4153,
        1.46979,
        1.46621,
        1.43952,
        1.41639,
        1.38199,
        1.4083,
        1.44234,
        1.25779,
        1.39003,
        1.38099,
        1.43579,
        1.40067,
        1.4079,
        1.33973,
        1.45665,
        1.50225,
        1.418,
        1.37573,
        1.56225,
        1.47396,
        1.33859,
        1.33369,
        1.2828,
        1.23334,
        1.33315,
        1.47464,
        1.36453,
        1.32639,
        1.55847,
        1.26771,
        1.09924,
        1.28032,
        1.03166,
        1.34418,
        1.34764,
        null,
        1.25979,
        1.23237,
        1.06601,
        1.44524,
        1.2563,
        1.19692,
        1.46314,
        1.35309,
        1.50244,
        1.31444,
        1.26706,
        1.40385,
        1.40489,
        1.51218,
        1.46377,
        1.39586,
        1.44414,
        1.41188,
        1.53345,
        1.37084,
        1.38487,
        1.29659,
        1.46873,
        1.27631,
        1.49808,
        1.40685,
        1.46136,
        1.37832,
        1.52397,
        1.56278,
        1.46126,
        1.42022,
        1.33458,
        1.36141,
        1.46196,
        1.53662,
        1.44017,
        1.38277,
        1.46707,
        1.52946,
        1.37918,
        1.38657,
        1.43123,
        1.41493,
        1.41113,
        1.44955,
        1.40884,
        1.43622,
        1.45859,
        1.58819,
        1.47583,
        1.39174,
        1.44602,
        1.46509,
        1.436,
        1.42671,
        1.46484,
        1.42322,
        1.41487,
        1.42198,
        1.43729,
        1.49927,
        1.45778,
        1.38688,
        1.37881,
        1.43004,
        1.40987,
        1.41635,
        1.47656,
        1.40744,
        1.35395,
        1.43909,
        1.48806,
        1.47782,
        1.42778,
        1.47179,
        1.42442,
        1.41235,
        1.38612,
        1.3769,
        1.3408,
        1.3557,
        1.47965,
        1.48724,
        1.45024,
        1.41013,
        1.44089,
        1.46663,
        1.46322,
        1.38673,
        1.42609,
        1.44088,
        1.41002,
        1.41482,
        1.42556,
        1.46068,
        1.4632,
        1.47899,
        1.39072,
        1.46616,
        1.45753,
        1.48666,
        1.44738,
        1.39875,
        1.45045,
        1.42254,
        1.40963,
        1.41497,
        1.41603,
        1.42973,
        1.38689,
        1.42434,
        1.4088,
        1.47303,
        1.43551,
        1.42727,
        1.4658,
        1.50114,
        1.47791,
        1.45671,
        1.42521,
        1.35788,
        1.38209,
        1.45237,
        1.39039,
        1.40544,
        1.43714,
        1.40428,
        1.41356,
        1.40565,
        1.45587,
        1.43429,
        1.40082,
        1.34291,
        1.40754,
        1.4239,
        1.42048,
        1.46625,
        1.46935,
        1.46921,
        1.42367,
        1.44092,
        1.44668,
        1.42295,
        1.43696,
        1.41671,
        1.42062,
        1.44957,
        1.41421,
        1.48292,
        1.46852,
        1.44067,
        1.40085,
        1.34126,
        1.40378,
        1.44061,
        1.43211,
        1.41449,
        1.4373,
        1.42505,
        1.42684,
        1.42834,
        1.50269,
        1.41039,
        1.41623,
        1.47498,
        1.45801,
        1.40981,
        1.42156,
        1.42395,
        1.45838,
        1.4374,
        1.41746,
        1.41388,
        1.40138,
        1.40043,
        1.43905,
        1.43538,
        1.41667,
        1.43145,
        1.47821,
        1.47851,
        1.45376,
        1.47264,
        1.48421,
        1.45285,
        1.40961,
        1.39197,
        1.48414,
        1.49171,
        1.45777,
        1.44988,
        1.45205,
        1.43726,
        1.43792,
        1.47624,
        1.43414,
        1.4452,
        1.42907,
        1.44859,
        1.45131,
        1.46497,
        1.43644,
        1.4668,
        1.45457,
        1.50542,
        1.42674,
        1.40038,
        1.42125,
        1.41316,
        1.37728,
        1.41413,
        1.41228,
        1.40497,
        1.40854,
        1.41308,
        1.46555,
        1.46399,
        1.43958,
        1.43265,
        1.42992,
        1.45639,
        1.43671,
        1.41825,
        1.43295,
        1.45298,
        1.41967,
        1.4434,
        1.48682,
        1.44364,
        1.40959,
        1.45279,
        1.4641,
        1.47607,
        1.44344,
        1.45767,
        1.50253,
        1.44857,
        1.45336,
        1.46372,
        1.45389,
        1.46675,
        1.44766,
        1.45946,
        1.4528,
        1.42928,
        1.41663,
        1.44209,
        1.45683,
        1.43705,
        1.46015,
        1.43619,
        1.4096,
        1.40631,
        1.41586,
        1.40724,
        1.44682,
        1.41929,
        1.41901,
        1.43939,
        1.42926,
        1.42322,
        1.41825,
        1.4515,
        1.43578,
        1.45827,
        1.46476,
        1.45232,
        1.47673,
        1.44577,
        1.45603,
        1.43866,
        1.46561,
        1.44288,
        1.46084,
        1.46778,
        1.46186,
        1.45411,
        1.47012,
        1.4795,
        1.45998,
        1.43203,
        1.42793,
        1.42151,
        1.43778,
        1.44177,
        1.41281,
        1.42588,
        1.47207,
        1.43815,
        1.46861,
        1.44937,
        1.417,
        1.42551,
        1.49215,
        1.47975,
        1.41982,
        1.45668,
        1.45781,
        1.50264,
        1.46481,
        1.48427,
        1.44995,
        1.43263,
        1.41772,
        1.41376,
        1.44341,
        1.42812,
        1.4445,
        1.45894,
        1.43363,
        1.44547,
        1.46004,
        1.46036,
        1.46139,
        1.45533,
        1.46743,
        1.55937,
        1.52233,
        1.5131,
        1.47797,
        1.49164,
        1.48554,
        1.49494,
        1.48914,
        1.54491,
        1.46783,
        1.49585,
        1.50286,
        1.52314,
        1.52715,
        1.55434,
        1.54627,
        1.50229,
        1.51899,
        1.55998,
        1.54712,
        1.51706,
        1.54866,
        1.56073,
        1.52236,
        1.52775,
        1.54797,
        1.53869,
        1.53633,
        1.53363,
        1.53073,
        1.60278,
        1.54783,
        1.55973,
        1.58288,
        1.57594,
        1.57472,
        1.58024,
        1.54671,
        1.56119,
        1.55445,
        1.52159,
        1.5771,
        1.55307,
        1.55053,
        1.53557,
        1.5921,
        1.57905,
        1.54597,
        1.51705,
        1.53458,
        1.59299,
        1.56059,
        1.62235,
        1.62412,
        1.56982,
        1.6034,
        1.53892,
        1.56069,
        1.55208,
        1.53188,
        1.50132,
        1.54991,
        1.54344,
        1.53462,
        1.51214,
        1.50661,
        1.5086,
        1.47202,
        1.51838,
        1.52212,
        1.47878,
        1.48587,
        1.43641,
        1.45267,
        1.42476,
        1.46544,
        1.49757,
        1.46779,
        1.44181,
        1.45098,
        1.46549,
        1.41774,
        1.44188,
        1.46158,
        1.49109,
        1.47958,
        1.45836,
        1.4407,
        1.48011,
        1.49493,
        1.46085,
        1.47701,
        1.45504,
        1.41398,
        1.43904,
        1.39667,
        1.41736,
        1.46056,
        1.44195,
        1.44017,
        1.45229,
        1.45999,
        1.43731,
        1.42571,
        1.47227,
        1.46113,
        1.45222,
        1.44818,
        1.47286,
        1.46656,
        1.43933,
        1.4221,
        1.43672,
        1.44144,
        1.45335,
        1.51457,
        1.45795,
        1.43974,
        1.42888,
        1.42704,
        1.42471,
        1.43879,
        1.45808,
        1.41273,
        1.42985,
        1.43267,
        1.42985,
        1.42919,
        1.46042,
        1.46051,
        1.5007,
        1.47468,
        1.51166,
        1.46553,
        1.4525,
        1.46008,
        1.49021,
        1.49952,
        1.45479,
        1.47171,
        1.48378,
        1.46042,
        1.44285,
        1.42608,
        1.40427,
        1.43809,
        1.48614,
        1.48258,
        1.48156,
        1.48351,
        1.44839,
        1.43674,
        1.44672,
        1.4578,
        1.43324,
        1.44118,
        1.44146,
        1.4493,
        1.44213,
        1.46489,
        1.43557,
        1.41138,
        1.41477,
        1.42989,
        1.42553,
        1.45934,
        1.42786,
        1.46119,
        1.44825,
        1.46257,
        1.45101,
        1.4647,
        1.44674,
        1.44361,
        1.44184,
        1.4635,
        1.45901,
        1.43705,
        1.4681,
        1.43798,
        1.50177,
        1.47388,
        1.47788,
        1.47269,
        1.48567,
        1.46593,
        1.44978,
        1.46085,
        1.48996,
        1.48786,
        1.47098,
        1.4972,
        1.50603,
        1.49183,
        1.48931,
        1.45762,
        1.44562,
        1.51592,
        1.47189,
        1.45171,
        1.39067,
        1.42631,
        1.41562,
        1.50145,
        1.50235,
        1.45184,
        1.45077,
        1.46323,
        1.45045,
        1.43659,
        1.42984,
        1.43072,
        1.41699,
        1.43707,
        1.42529,
        1.46669,
        1.46387,
        1.47661,
        1.45672,
        1.47147,
        1.51858,
        1.47093,
        1.45855,
        1.44375,
        1.48833,
        1.45769,
        1.47658,
        1.43846,
        1.4473,
        1.42758,
        1.43781,
        1.48185,
        1.45418,
        1.41255,
        1.42298,
        1.43733,
        1.4446,
        1.43121,
        1.43222,
        1.43396,
        1.44216,
        1.49898,
        1.45075,
        1.45818,
        1.4781,
        1.44729,
        1.45716,
        1.43862,
        1.48153,
        1.48341,
        1.49601,
        1.48381,
        1.45659,
        1.47677,
        1.4706,
        1.45357,
        1.4906,
        1.49478,
        1.46777,
        1.48573,
        1.4722,
        1.51491,
        1.49342,
        1.45447,
        1.47893,
        1.53051,
        1.48221,
        1.47446,
        1.45343,
        1.44518,
        1.43916,
        1.51872,
        1.46951,
        1.47943,
        1.46415,
        1.4963,
        1.44286,
        1.45587,
        1.44752,
        1.44601,
        1.49105,
        1.48834,
        1.50001,
        1.46094,
        1.48186,
        1.48231,
        1.44848,
        1.46663,
        1.46143,
        1.42832,
        1.45473,
        1.43358,
        1.46084,
        1.4544,
        1.45859,
        1.49481,
        1.49312,
        1.52043,
        1.45617,
        1.49228,
        1.39029,
        1.39858,
        1.4578,
        1.45229,
        1.48719,
        1.46889,
        1.43635,
        1.43236,
        1.42646,
        1.44415,
        1.42119,
        1.42797,
        1.40063,
        1.46683,
        1.43857,
        1.45578,
        1.45409,
        1.46932,
        1.45766,
        1.45241,
        1.43938,
        1.41408,
        1.44482,
        1.41486,
        1.43282,
        1.50302,
        1.49936,
        1.45877,
        1.44275,
        1.44804,
        1.43463,
        1.42311,
        1.42155,
        1.43774,
        1.42138,
        1.41743,
        1.39214,
        1.42807,
        1.50617,
        1.47763,
        1.41669,
        1.38906,
        1.40863,
        1.48678,
        1.46815,
        1.43267,
        1.44925,
        1.44381,
        1.40796,
        1.45721,
        1.47425,
        1.46007,
        1.44093,
        1.3846,
        1.37923,
        1.46595,
        1.44876,
        1.46501,
        1.51426,
        1.4232,
        1.43874,
        1.47796,
        1.47363,
        1.46755,
        1.43519,
        1.42795,
        1.44404,
        1.39613,
        1.3834,
        1.43615,
        1.48129,
        1.44399,
        1.44393,
        1.4407,
        1.44668,
        1.44628,
        1.45446,
        1.45402,
        1.45349,
        1.40691,
        1.44878,
        1.44171,
        1.42699,
        1.40002,
        1.46085,
        1.48322,
        1.44737,
        1.43214,
        1.4179,
        1.42826,
        1.42637,
        1.41124,
        1.44314,
        1.43952,
        1.43829,
        1.40748,
        1.43481,
        1.44938,
        1.4252,
        1.44196,
        1.41937,
        1.44589,
        1.4758,
        1.44024,
        1.43567,
        1.43543,
        1.42954,
        1.42054,
        1.3783,
        1.41484,
        1.38624,
        1.40838,
        1.44574,
        1.43123,
        1.42108,
        1.42052,
        1.48576,
        1.45605,
        1.46935,
        1.444,
        1.40431,
        1.44069,
        1.44874,
        1.47701,
        1.46654,
        1.43574,
        1.45381,
        1.45635,
        1.42766,
        1.41089,
        1.43739,
        1.39848,
        1.38908,
        1.45804,
        1.44131,
        1.39029,
        1.44089,
        1.3886,
        1.40388,
        1.41559,
        1.44374,
        1.47592,
        1.449,
        1.47213,
        1.39428,
        1.41478,
        1.43903,
        1.47453,
        1.44974,
        1.46091,
        1.44361,
        1.48404,
        1.47096,
        1.38943,
        1.44456,
        1.45509,
        1.45495,
        1.42778,
        1.5072,
        1.43364,
        1.41042,
        1.46643,
        1.46211,
        1.41063,
        1.43998,
        1.43082,
        1.45286,
        1.40182,
        1.39488,
        1.41955,
        1.41619,
        1.42053,
        1.39868,
        1.4171,
        1.45883,
        1.47471,
        1.51723,
        1.4929,
        1.42621,
        1.42809,
        1.35826,
        1.38536,
        1.42757,
        1.38952,
        1.40427,
        1.45091,
        1.43419,
        1.40198,
        1.39686,
        1.43467,
        1.43427,
        1.44283,
        1.4557,
        1.44905,
        1.44823,
        1.4183,
        1.43347,
        1.39179,
        1.46312,
        1.40661,
        1.39666,
        1.43426,
        1.41867,
        1.38721,
        1.37496,
        1.43258,
        1.4613,
        1.37932,
        1.40411,
        1.39588,
        1.42902,
        1.40584,
        1.47383,
        1.44553,
        1.37852,
        1.37225,
        1.42698,
        1.48343,
        1.4469,
        1.44368,
        1.37835,
        1.45575,
        1.45917,
        1.39572,
        1.39958,
        1.37428,
        1.5102,
        1.50633,
        1.36289,
        1.3041,
        1.15605,
        1.2452,
        1.21848,
        1.58379,
        1.45363,
        1.41596,
        1.1558,
        1.2913,
        1.31647,
        1.38817,
        1.32261,
        1.33118,
        1.40417,
        1.42315,
        1.48466,
        1.39232,
        1.43514,
        1.39961,
        1.3889,
        1.44267,
        1.4198,
        1.42294,
        1.42684,
        1.46969,
        1.44113,
        1.36703,
        1.41996,
        1.4191,
        1.44755,
        1.44097,
        1.49784,
        1.44923,
        1.39573,
        1.45208,
        1.45475,
        1.46992,
        1.45503,
        1.45484,
        1.48929,
        1.44483,
        1.45122,
        1.45658,
        1.43123,
        1.4862,
        1.47637,
        1.5001,
        1.52367,
        1.4411,
        1.46257,
        1.46757,
        1.51409,
        1.47689,
        1.48103,
        1.49569,
        1.54102,
        1.46631,
        1.49982,
        1.44419,
        1.49113,
        1.54649,
        1.59136,
        1.53393,
        1.49867,
        1.54715,
        1.548,
        1.53181,
        1.53943,
        1.49989,
        1.57775,
        1.57332,
        1.57718,
        1.6067,
        1.55185,
        1.51729,
        1.52185,
        1.52535,
        1.5155,
        1.45319,
        1.51436,
        1.53065,
        1.53508,
        1.55266,
        1.55069,
        1.52987,
        1.5728,
        1.51912,
        1.49172,
        1.54637,
        1.50299,
        1.4765,
        1.52165,
        1.53327,
        1.54852,
        1.52913,
        1.52226,
        1.57264,
        1.56687,
        1.56539,
        1.52075,
        1.53573,
        1.54943,
        1.49355,
        1.52196,
        1.47474,
        1.497,
        1.52514,
        1.50877,
        1.53072,
        1.48575,
        1.48537,
        1.48073,
        1.45733,
        1.5046,
        1.44751,
        1.55631,
        1.52739,
        1.4427,
        1.46006,
        1.4593,
        1.44177,
        1.44601,
        1.45915,
        1.47585,
        1.39406,
        1.44008,
        1.48135,
        1.40942,
        1.44611,
        1.44213,
        1.47696,
        1.43594,
        1.41566,
        1.37054,
        1.46753,
        1.46066,
        1.46319,
        1.43941,
        1.41719,
        1.44007,
        1.40664,
        1.44209,
        1.43026,
        1.38192,
        1.41531,
        1.4175,
        1.42422,
        1.47345,
        1.4166,
        1.45707,
        1.54791,
        1.58435,
        1.4715,
        1.4537,
        1.44514,
        1.44695,
        1.41549,
        1.45152,
        1.42892,
        1.36554,
        1.36502,
        1.41038,
        1.38765,
        1.41927,
        1.4349,
        1.36427,
        1.42718,
        1.39471,
        1.3946,
        1.36772,
        1.39483,
        1.36274,
        1.37128,
        1.32858,
        1.3499,
        1.24271,
        1.36769,
        1.31648,
        1.30247,
        1.36684,
        1.40021,
        1.4282,
        1.52898,
        1.48304,
        1.42865,
        1.37099,
        1.28111,
        1.05634,
        1.27543,
        1.14794,
        1.23587,
        1.36452,
        1.39176,
        1.45976,
        1.30964,
        1.2994,
        1.44471,
        1.32942,
        1.39766,
        1.4429,
        1.39942,
        1.44165,
        1.39129,
        1.40014,
        1.49818,
        1.38992,
        1.39047,
        1.42668,
        1.37589,
        1.41612,
        1.40563,
        1.36432,
        1.38632,
        1.3977,
        1.41482,
        1.44732,
        1.45205,
        1.48715,
        1.45706,
        1.41503,
        1.48476,
        1.38337,
        1.3874,
        1.43955,
        1.41051,
        1.49777,
        1.53199,
        1.44811,
        1.42401,
        1.38478,
        1.4414,
        1.46093,
        1.45389,
        1.44605,
        1.48538,
        1.45275,
        1.42273,
        1.43541,
        1.47396,
        1.50986,
        1.43256,
        1.47197,
        1.43035,
        1.43849,
        1.46998,
        1.508,
        1.47355,
        1.47147,
        1.4941,
        1.48386,
        1.45853,
        1.4283,
        1.41893,
        1.49731,
        1.45494,
        1.47244,
        1.45651,
        1.42355,
        1.3967,
        1.38085,
        1.41798,
        1.44574,
        1.50629,
        1.48524,
        1.4853,
        1.44986,
        1.4867,
        1.43022,
        1.45609,
        1.4376,
        1.40984,
        1.43695,
        1.47083,
        1.48713,
        1.47922,
        1.48932,
        1.48014,
        1.42667,
        1.41125,
        1.41819,
        1.47821,
        1.49325,
        1.45274,
        1.44373,
        1.47063,
        1.42927,
        1.43824,
        1.40468,
        1.45856,
        1.50769,
        1.50513,
        1.4864,
        1.49212,
        1.47732,
        1.4683,
        1.45182,
        1.43792,
        1.43933,
        1.5078,
        1.40625,
        1.44255,
        1.426,
        1.45493,
        1.45956,
        1.45255,
        1.41937,
        1.4126,
        1.44353,
        1.4336,
        1.46223,
        1.43364,
        1.47504,
        1.4987,
        1.44603,
        1.46191,
        1.47989,
        1.45057,
        1.43204,
        1.43687,
        1.47659,
        1.42656,
        1.47078,
        1.39375,
        1.42103,
        1.46524,
        1.38571,
        1.40087,
        1.428,
        1.46462,
        1.41313,
        1.42068,
        1.39691,
        1.40662,
        1.42661,
        1.43795,
        1.41319,
        1.43417,
        1.44526,
        1.42875,
        1.45394,
        1.44256,
        1.41777,
        1.41095,
        1.4151,
        1.45095,
        1.50724,
        1.49872,
        1.47982,
        1.44143,
        1.44559,
        1.43537,
        1.47581,
        1.47864,
        1.43522,
        1.45029,
        1.48327,
        1.448,
        1.41882,
        1.41033,
        1.46216,
        1.41184,
        1.46821,
        1.46983,
        1.46226,
        1.51567,
        1.47515,
        1.46164,
        1.4405,
        1.4855,
        1.41352,
        1.44867,
        1.44656,
        1.4747,
        1.43842,
        1.4028,
        1.42199,
        1.42326,
        1.42748,
        1.45796,
        1.43326,
        1.39237,
        1.41556,
        1.40135,
        1.41807,
        1.43129,
        1.42176,
        1.40205,
        1.43519,
        1.40982,
        1.43028,
        1.45298,
        1.43218,
        1.44089,
        1.46111,
        1.41569,
        1.39874,
        1.47442,
        1.48112,
        1.39718,
        1.4604,
        1.42463,
        1.47846,
        1.43369,
        1.41903,
        1.47585,
        1.42297,
        1.43163,
        1.48606,
        1.48328,
        1.43504,
        1.40147,
        1.3893,
        1.39384,
        1.5005,
        1.48045,
        1.43625,
        1.44318,
        1.4664,
        1.43243,
        1.38373,
        1.40977,
        1.49544,
        1.4614,
        1.4525,
        1.38081,
        1.42864,
        1.39869,
        1.45722,
        1.43371,
        1.4297,
        1.40618,
        1.42468,
        1.42673,
        1.38063,
        1.34072,
        1.37307,
        1.44732,
        1.3444,
        1.44839,
        1.41829,
        1.40437,
        1.46669,
        1.42355,
        1.4795,
        1.43,
        1.32512,
        1.42237,
        1.4689,
        1.42514,
        1.37997,
        1.40168,
        1.43405,
        1.44003,
        1.40188,
        1.4584,
        1.50693,
        1.49803,
        1.42526,
        1.47891,
        1.48741,
        1.39974,
        1.48638,
        1.38948,
        1.42514,
        1.39763,
        1.38815,
        1.44948,
        1.38774,
        1.44536,
        1.40295,
        1.42626,
        1.48653,
        1.48076,
        1.41493,
        1.38997,
        1.4675,
        1.47041,
        1.45649,
        1.41481,
        1.42759,
        1.40055,
        1.38484,
        1.37255,
        1.46452,
        1.52794,
        1.45468,
        1.41129,
        1.42055,
        1.45846,
        1.40013,
        1.47577,
        1.4314,
        1.39695,
        1.43139,
        1.45514,
        1.49273,
        1.42107,
        1.4765,
        1.44364,
        1.41954,
        1.36749,
        1.41008,
        1.51051,
        1.46112,
        1.40169,
        1.41398,
        1.3712,
        1.37825,
        1.43899,
        1.46369,
        1.3795,
        1.36754,
        1.4072,
        1.39736,
        1.42854,
        1.43006,
        1.40298,
        1.44255,
        1.4387,
        1.44042,
        1.43661,
        1.43768,
        1.42929,
        1.48729,
        1.41291,
        1.42197,
        1.47038,
        1.44159,
        1.4335,
        1.43378,
        1.3835,
        1.39813,
        1.45598,
        1.43373,
        1.47876,
        1.38699,
        1.42701,
        1.45014,
        1.45626,
        1.45011,
        1.45622,
        1.41389,
        1.45308,
        1.46029,
        1.40173,
        1.42721,
        1.42624,
        1.43193,
        1.44583,
        1.38827,
        1.38811,
        1.40503,
        1.42941,
        1.44634,
        1.4397,
        1.43883,
        1.38945,
        1.43702,
        1.47394,
        1.43443,
        1.44348,
        1.42279,
        1.46915,
        1.39947,
        1.40832,
        1.394,
        1.42245,
        1.48203,
        1.4432,
        1.48379,
        1.44091,
        1.38317,
        1.41728,
        1.43601,
        1.46388,
        1.45841,
        1.44553,
        1.42979,
        1.42302,
        1.44188,
        1.42454,
        1.44965,
        1.36914,
        1.46126,
        1.4982,
        1.3813,
        1.41262,
        1.36965,
        1.37194,
        1.44444,
        1.43654,
        1.46841,
        1.44538,
        1.39558,
        1.36263,
        1.38142,
        1.38096,
        1.49125,
        1.46916,
        1.47424,
        1.44052,
        1.40761,
        1.42216,
        1.45126,
        1.39132,
        1.40937,
        1.43178,
        1.44077,
        1.44952,
        1.43942,
        1.39858,
        1.49615,
        1.4665,
        1.4269,
        1.42416,
        1.4371,
        1.42376,
        1.48239,
        1.51394,
        1.4952,
        1.4693,
        1.47236,
        1.35336,
        1.44084,
        1.43925,
        1.47987,
        1.52992,
        1.44094,
        1.47897,
        1.43259,
        1.40575,
        1.42205,
        1.51197,
        1.50132,
        1.4552,
        1.42205,
        1.512,
        1.51254,
        1.4961,
        1.44811,
        1.47439,
        1.53418,
        1.52165,
        1.38733,
        1.42159,
        1.44349,
        1.40075,
        1.40532,
        1.52269,
        1.47434,
        1.47328,
        1.48891,
        1.48467,
        1.54278,
        1.51358,
        1.47075,
        1.53556,
        1.6057,
        1.54098,
        1.5278,
        1.53771,
        1.53249,
        1.47006,
        1.58244,
        1.6035,
        1.50272,
        1.49355,
        1.5281,
        1.5675,
        1.57906,
        1.49066,
        1.46225,
        1.48049,
        1.55327,
        1.57811,
        1.47616,
        1.57524,
        1.5096,
        1.51169,
        1.54248,
        1.55321,
        1.53755,
        1.52461,
        1.55246,
        1.52912,
        1.5085,
        1.5155,
        1.58632,
        1.5521,
        1.52811,
        1.53285,
        1.55882,
        1.55873,
        1.56655,
        1.54912,
        1.54821,
        1.55943,
        null,
        1.43749,
        1.42817,
        1.41891,
        1.43931,
        1.41561,
        1.44233,
        1.42788,
        1.4346,
        1.40871,
        1.40987,
        1.40711,
        1.45154,
        1.48095,
        1.441,
        1.46046,
        1.47307,
        1.4308,
        1.45498,
        1.46935,
        1.44778,
        1.41822,
        1.39857,
        1.41345,
        1.44555,
        1.4739,
        1.51623,
        1.5035,
        1.47654,
        1.46939,
        1.50814,
        1.48935,
        1.46082,
        1.45714,
        1.47927,
        1.48454,
        1.48437,
        1.49529,
        1.47652,
        1.43454,
        1.45461,
        1.4684,
        1.47902,
        1.46413,
        1.45911,
        1.44768,
        1.44488,
        1.43476,
        1.45807,
        1.45671,
        1.43885,
        1.46541,
        1.46013,
        1.45055,
        1.43081,
        1.45559,
        1.46757,
        1.46508,
        1.46326,
        1.44891,
        1.44124,
        1.42135,
        1.4434,
        1.45811,
        1.44293,
        1.42972,
        1.4414,
        1.45932,
        1.47469,
        1.41955,
        1.41476,
        1.42889,
        1.47309,
        1.46345,
        1.47737,
        1.45899,
        1.45578,
        1.45193,
        1.45011,
        1.46245,
        1.48445,
        1.40835,
        1.43058,
        1.49102,
        1.51226,
        1.45687,
        1.44779,
        1.4594,
        1.44801,
        1.40956,
        1.4359,
        1.42445,
        1.45863,
        1.44954,
        1.45635,
        1.41876,
        1.42764,
        1.44914,
        1.49141,
        1.4486,
        1.43617,
        1.48008,
        1.45443,
        1.43922,
        1.4777,
        1.46333,
        1.48424,
        1.43998,
        1.44525,
        1.48814,
        1.45735,
        1.4489,
        1.46138,
        1.45215,
        1.42168,
        1.4011,
        1.45236,
        1.49418,
        1.42853,
        1.40913,
        1.44857,
        1.47623,
        1.46199,
        1.46033,
        1.46745,
        1.41233,
        1.46519,
        1.44865,
        1.43451,
        1.4523,
        1.49374,
        1.45323,
        1.46554,
        1.45553,
        1.4466,
        1.40026,
        1.39764,
        1.46452,
        1.42647,
        1.42263,
        1.41106,
        1.50496,
        1.44303,
        1.42043,
        1.49282,
        1.47799,
        1.42769,
        1.42711,
        1.38563,
        1.39491,
        1.46614,
        1.42254,
        1.45563,
        1.50514,
        1.46426,
        1.37811,
        1.44672,
        1.42815,
        1.44726,
        1.50043,
        1.45877,
        1.42891,
        1.50556,
        1.48981,
        1.4749,
        1.45587,
        1.49727,
        1.43937,
        1.40869,
        1.49067,
        1.418,
        1.43117,
        1.44931,
        1.44115,
        1.39196,
        1.38087,
        1.48744,
        1.48602,
        1.46131,
        1.38068,
        1.46045,
        1.51879,
        1.46515,
        1.42322,
        1.46383,
        1.41443,
        1.4379,
        1.45186,
        1.44682,
        1.46037,
        1.45742,
        1.43275,
        1.40607,
        1.42944,
        1.39839,
        1.418,
        1.44737,
        1.46627,
        1.47313,
        1.56963,
        1.49684,
        1.3864,
        1.44635,
        1.36482,
        1.44222,
        1.44335,
        1.30319,
        1.31943,
        1.40423,
        1.44085,
        1.35802,
        1.39674,
        1.36769,
        1.34024,
        1.42038,
        1.41778,
        1.5388,
        1.38883,
        1.4445,
        1.04336,
        1.25879,
        1.35431,
        1.52775,
        1.61246,
        1.45703,
        1.56947,
        1.42881,
        1.32335,
        1.48525,
        1.3634,
        1.47452,
        1.44026,
        1.34772,
        1.48309,
        1.40681,
        1.49797,
        1.36035,
        1.30502,
        1.37883,
        1.45881,
        1.49005,
        1.46728,
        1.42225,
        1.40936,
        1.47475,
        1.43854,
        1.43503,
        1.44379,
        1.34781,
        1.46571,
        1.43284,
        1.4911,
        1.43197,
        1.38655,
        1.47026,
        1.47076,
        1.45615,
        1.46413,
        1.40842,
        1.4097,
        1.43812,
        1.4432,
        1.41067,
        1.43602,
        1.44677,
        1.44472,
        1.46936,
        1.36814,
        1.43591,
        1.44257,
        1.43588,
        1.45008,
        1.43732,
        1.49595,
        1.45709,
        1.3962,
        1.43238,
        1.4101,
        1.44211,
        1.49117,
        1.42292,
        1.42193,
        1.53159,
        1.44333,
        1.39106,
        1.41297,
        1.39772,
        1.3738,
        1.41734,
        1.44371,
        1.47796,
        1.53087,
        1.55365,
        1.44388,
        1.45328,
        1.40879,
        1.47277,
        1.4741,
        1.43883,
        1.47957,
        1.45553,
        1.44747,
        1.4253,
        1.43389,
        1.46046,
        1.45145,
        1.51049,
        1.52112,
        1.50379,
        1.42195,
        1.45752,
        1.45037,
        1.40358,
        1.45244,
        1.44009,
        1.45162,
        1.43883,
        1.44652,
        1.4639,
        1.49594,
        1.47046,
        1.47494,
        1.44335,
        1.47951,
        1.51695,
        1.47343,
        1.48776,
        1.50868,
        1.48926,
        1.48896,
        1.50373,
        1.44508,
        1.46635,
        1.48087,
        1.44999,
        1.45752,
        1.43919,
        1.44186,
        1.42373,
        1.42921,
        1.47421,
        1.47262,
        1.48894,
        1.43844,
        1.48571,
        1.44677,
        1.48072,
        1.48913,
        1.48145,
        1.46845,
        1.49142,
        1.52406,
        1.48454,
        1.4729,
        1.47477,
        1.4268,
        1.44721,
        1.49694,
        1.49443,
        1.50359,
        1.44239,
        1.43574,
        1.46788,
        1.47846,
        1.48469,
        1.46647,
        1.46047,
        1.4489,
        1.46217,
        1.45665,
        1.46254,
        1.40557,
        1.43722,
        1.46485,
        1.48472,
        1.46766,
        1.48186,
        1.48465,
        1.41743,
        1.4961,
        1.45538,
        1.45269,
        1.48419,
        1.51586,
        1.44916,
        1.41732,
        1.43493,
        1.44863,
        1.47015,
        1.45129,
        1.44656,
        1.43405,
        1.43248,
        1.45657,
        1.46159,
        1.4716,
        1.47766,
        1.45224,
        1.45645,
        1.47052,
        1.46944,
        1.44991,
        1.46628,
        1.41088,
        1.40893,
        1.42443,
        1.40372,
        1.44739,
        1.46496,
        1.47555,
        1.40842,
        1.38972,
        1.41833,
        1.47405,
        1.43383,
        1.45492,
        1.4057,
        1.44456,
        1.42448,
        1.43554,
        1.41965,
        1.44243,
        1.4878,
        1.46176,
        1.43295,
        1.46807,
        1.40844,
        1.39971,
        1.4149,
        1.49708,
        1.46241,
        1.42601,
        1.42882,
        1.42125,
        1.43234,
        1.45765,
        1.39574,
        1.46632,
        1.47946,
        1.48768,
        1.47407,
        1.48176,
        1.50523,
        1.43814,
        1.46516,
        1.4904,
        1.47081,
        1.51262,
        1.45249,
        1.44888,
        1.47642,
        1.44607,
        1.46958,
        1.4969,
        1.45572,
        1.4665,
        1.41854,
        1.44014,
        1.42936,
        1.45368,
        1.48939,
        1.48759,
        1.4973,
        1.5249,
        1.48012,
        1.48132,
        1.45368,
        1.43323,
        1.49457,
        1.46546,
        1.49555,
        1.45362,
        1.44704,
        1.44896,
        1.39605,
        1.42863,
        1.40077,
        1.43421,
        1.43258,
        1.46165,
        1.44709,
        1.46722,
        1.46649,
        1.48489,
        1.39444,
        1.43051,
        1.3748,
        1.41703,
        1.4013,
        1.41776,
        1.45037,
        1.43101,
        1.43419,
        1.41716,
        1.44374,
        1.47956,
        1.43787,
        1.43478,
        1.39909,
        1.42252,
        1.44243,
        1.43387,
        1.42558,
        1.42144,
        1.42855,
        1.4432,
        1.4672,
        1.4428,
        1.4286,
        1.46689,
        1.46962,
        1.46916,
        1.49976,
        1.46107,
        1.4959,
        1.49286,
        1.44517,
        1.43477,
        1.46241,
        1.44359,
        1.40041,
        1.44014,
        1.4122,
        1.42542,
        1.48107,
        1.45844,
        1.46057,
        1.41153,
        1.44856,
        1.4492,
        1.43534,
        1.45012,
        1.45843,
        1.46997,
        1.41848,
        1.42765,
        1.43546,
        1.47173,
        1.43221,
        1.41125,
        1.44819,
        1.45083,
        1.44422,
        1.45864,
        1.42273,
        1.49864,
        1.50299,
        1.50613,
        1.46861,
        1.44821,
        1.46589,
        1.5029,
        1.45243,
        1.45633,
        1.48369,
        1.47292,
        1.49639,
        1.46127,
        1.4739,
        1.44782,
        1.50248,
        1.4665,
        1.48663,
        1.50642,
        1.46097,
        1.43067,
        1.44875,
        1.52968,
        1.45554,
        1.44061,
        1.44473,
        1.44848,
        1.51398,
        1.49387,
        1.39933,
        1.42993,
        1.40932,
        1.44322,
        1.43852,
        1.41873,
        1.39373,
        1.42707,
        1.45468,
        1.47617,
        1.43578,
        1.4368,
        1.46691,
        1.4736,
        1.47653,
        1.4845,
        1.42992,
        1.52021,
        1.47515,
        1.43004,
        1.43814,
        1.42251,
        1.47112,
        1.47315,
        1.44942,
        1.49578,
        1.46802,
        1.47915,
        1.50424,
        1.49532,
        1.4721,
        1.4764,
        1.44134,
        1.40142,
        1.44369,
        1.49349,
        1.45589,
        1.4451,
        1.44883,
        1.44409,
        1.42398,
        1.42931,
        1.43035,
        1.47296,
        1.43088,
        1.45788,
        1.44705,
        1.50203,
        1.43091,
        1.48937,
        1.51843,
        1.43643,
        1.43996,
        1.43514,
        1.45841,
        1.47768,
        1.47611,
        1.4995,
        1.51767,
        1.5006,
        1.46982,
        1.45843,
        1.49199,
        1.4556,
        1.44604,
        1.48162,
        1.4942,
        1.50376,
        1.44463,
        1.47279,
        1.42399,
        1.42622,
        1.43567,
        1.4361,
        1.44063,
        1.43887,
        1.46095,
        1.41687,
        1.40798,
        1.47254,
        1.4735,
        1.44537,
        1.46967,
        1.41815,
        1.43228,
        1.42489,
        1.44117,
        1.3929,
        1.37866,
        1.42622,
        1.49647,
        1.4798,
        1.46929,
        1.45465,
        1.41846,
        1.4403,
        1.51854,
        1.47808,
        1.45662,
        1.44266,
        1.46118,
        1.46993,
        1.47237,
        1.4226,
        1.38757,
        1.3514,
        1.44731,
        1.46219,
        1.43866,
        1.43015,
        1.44698,
        1.4618,
        1.48746,
        1.42781,
        1.44839,
        1.42896,
        1.44823,
        1.44769,
        1.48526,
        1.48841,
        1.46406,
        1.48375,
        1.44992,
        1.44175,
        1.42837,
        1.41939,
        1.45878,
        1.42378,
        1.46237,
        1.46065,
        1.44513,
        1.41235,
        1.43192,
        1.43058,
        1.45358,
        1.47222,
        1.46388,
        1.41773,
        1.41319,
        1.44894,
        1.45098,
        1.42943,
        1.46631,
        1.47663,
        1.4696,
        1.44402,
        1.47149,
        1.44178,
        1.44647,
        1.44623,
        1.48923,
        1.46665,
        1.44354,
        1.40541,
        1.44204,
        1.49974,
        1.48002,
        1.4407,
        1.3796,
        1.41921,
        1.42247,
        1.43922,
        1.45191,
        1.43165,
        1.50143,
        1.46102,
        1.42007,
        1.44044,
        1.42944,
        1.44847,
        1.46837,
        1.47785,
        1.4835,
        1.48159,
        1.52168,
        1.53422,
        1.51558,
        1.46866,
        1.49437,
        1.52205,
        1.44478,
        1.46286,
        1.41211,
        1.43215,
        1.42364,
        1.39871,
        1.4337,
        1.47032,
        1.46266,
        1.51782,
        1.51241,
        1.4881,
        1.49701,
        1.49373,
        1.50266,
        1.54825,
        1.50489,
        1.53647,
        1.55838,
        1.58929,
        1.59773,
        1.52333,
        1.52856,
        1.4913,
        1.52247,
        1.56718,
        1.56795,
        1.53507,
        1.56392,
        1.51191,
        1.45106,
        1.51984,
        1.48213,
        1.53646,
        1.49087,
        1.50054,
        1.54293,
        1.49002,
        1.53729,
        1.51174,
        1.46524,
        1.46314,
        1.48187,
        1.47202,
        1.49677,
        1.52081,
        1.47329,
        1.51886,
        1.48318,
        1.55208,
        1.52606,
        1.48715,
        1.49936,
        1.4836,
        1.48932,
        1.49101,
        1.42604,
        1.43242,
        1.43391,
        1.49179,
        1.46214,
        1.47656,
        1.40691,
        1.37511,
        1.49354,
        1.47177,
        1.46351,
        1.41429,
        1.41232,
        1.37778,
        1.39795,
        1.38441,
        1.42285,
        1.47341,
        1.45565,
        1.48188,
        1.40646,
        1.41331,
        1.38732,
        1.37364,
        1.36731,
        1.40162,
        1.44626,
        1.40633,
        1.29042,
        1.3577,
        1.35392,
        1.43795,
        1.46273,
        1.39302,
        1.51594,
        1.48221,
        1.41378,
        1.3255,
        1.20391,
        1.34684,
        1.25924,
        1.25448,
        1.29185,
        1.32258,
        1.16235,
        1.36594,
        1.44807,
        1.35587,
        1.28644,
        1.02074,
        1.48696,
        1.49014,
        1.18822,
        1.51994,
        1.43121,
        1.45692,
        1.353,
        1.41092,
        1.48588,
        1.47074,
        1.30133,
        1.23073,
        1.24975,
        1.06376,
        1.17676,
        1.3613,
        1.24901,
        1.38064,
        1.30582,
        1.36519,
        1.27807,
        1.20189,
        1.06108,
        1.1681,
        1.3281,
        null,
        1.46739,
        1.46029,
        1.16624,
        1.0786,
        1.32356,
        1.13548,
        1.44142,
        1.70626,
        1.51357,
        1.38082,
        1.36238,
        1.37452,
        1.26416,
        1.56095,
        1.28655,
        1.12936,
        1.23782,
        1.42817,
        1.29003,
        1.31667,
        1.35926,
        1.47754,
        1.47468,
        1.30689,
        1.27949,
        1.25425,
        1.27145,
        1.28875,
        1.38105,
        1.27735,
        1.22244,
        1.35091,
        1.44705,
        1.43408,
        1.39505,
        1.50137,
        1.34523,
        1.44057,
        1.49978,
        1.49305,
        1.36013,
        1.31024,
        1.3771,
        1.33675,
        1.40323,
        1.36243,
        1.19119,
        1.33319,
        1.51763,
        1.46485,
        1.41842,
        1.49699,
        1.47016,
        1.35598,
        1.45714,
        1.44853,
        1.42965,
        1.48417,
        1.40234,
        1.35309,
        1.45292,
        1.41765,
        1.33402,
        1.37843,
        1.34649,
        1.34763,
        1.40309,
        1.38871,
        1.40054,
        1.42539,
        1.4998,
        1.35126,
        1.4161,
        1.32286,
        1.43064,
        1.4468,
        1.43807,
        1.41489,
        1.3614,
        1.37775,
        1.46509,
        1.46913,
        1.35448,
        1.2632,
        1.35652,
        1.3911,
        1.43903,
        1.42464,
        1.47108,
        1.43886,
        1.47126,
        1.39307,
        1.40968,
        1.48729,
        1.43416,
        1.39355,
        1.43921,
        1.42997,
        1.45831,
        1.41766,
        1.51846,
        1.44211,
        1.37667,
        1.42295,
        1.45396,
        1.41396,
        1.4044,
        1.36919,
        1.43362,
        1.48929,
        1.41227,
        1.50157,
        1.39149,
        1.44918,
        1.4983,
        1.40844,
        1.43454,
        1.44633,
        1.47798,
        1.4523,
        1.43272,
        1.44858,
        1.42123,
        1.36546,
        1.36578,
        1.40732,
        1.4623,
        1.4374,
        1.36728,
        1.42575,
        1.36756,
        1.41258,
        1.45242,
        1.49635,
        1.55515,
        1.43039,
        1.4431,
        1.38314,
        1.40502,
        1.46287,
        1.47241,
        1.43428,
        1.4689,
        1.41918,
        1.42546,
        1.49997,
        1.43863,
        1.43786,
        1.46535,
        1.47415,
        1.46125,
        1.42845,
        1.46726,
        1.45753,
        1.40015,
        1.46776,
        1.51867,
        1.50755,
        1.39942,
        1.40664,
        1.45746,
        1.45655,
        1.41311,
        1.41927,
        1.39931,
        1.42114,
        1.40676,
        1.32228,
        1.4048,
        1.38091,
        1.42129,
        1.4486,
        1.44102,
        1.42853,
        1.39932,
        1.42124,
        1.47184,
        1.42841,
        1.43355,
        1.42554,
        1.4549,
        1.46271,
        1.49598,
        1.41767,
        1.45073,
        1.48337,
        1.42179,
        1.37762,
        1.4065,
        1.42305,
        1.4641,
        1.42658,
        1.45652,
        1.44248,
        1.44541,
        1.46102,
        1.45123,
        1.48328,
        1.44404,
        1.43026,
        1.40281,
        1.44749,
        1.43772,
        1.3784,
        1.48986,
        1.44294,
        1.41998,
        1.37578,
        1.43881,
        1.48568,
        1.41493,
        1.40298,
        1.36723,
        1.44464,
        1.52724,
        1.41964,
        1.4588,
        1.48321,
        1.48694,
        1.45183,
        1.41241,
        1.46941,
        1.44431,
        1.39261,
        1.48164,
        1.4559,
        1.42293,
        1.45164,
        1.39689,
        1.46064,
        1.53841,
        1.40258,
        1.38336,
        1.41193,
        1.38544,
        1.44501,
        1.40995,
        1.46978,
        1.46937,
        1.48652,
        1.47768,
        1.45994,
        1.44647,
        1.484,
        1.41129,
        1.41923,
        1.41269,
        1.47811,
        1.50173,
        1.41168,
        1.39072,
        1.34435,
        1.38881,
        1.41099,
        1.52062,
        1.4281,
        1.4238,
        1.45823,
        1.40585,
        1.37951,
        1.40069,
        1.50423,
        1.50322,
        1.48175,
        1.43737,
        1.41553,
        1.53543,
        1.48322,
        1.40136,
        1.42662,
        1.43259,
        1.44782,
        1.50763,
        1.45311,
        1.48111,
        1.46432,
        1.43377,
        1.41178,
        1.47502,
        1.50795,
        1.48244,
        1.49129,
        1.55522,
        1.53248,
        1.43452,
        1.4759,
        1.42087,
        1.54249,
        1.59944,
        1.44231,
        1.46157,
        1.54498,
        1.46703,
        1.35844,
        1.3618,
        1.46038,
        1.45138,
        1.48441,
        1.5171,
        1.57321,
        1.55192,
        1.4419,
        1.43493,
        1.38561,
        1.51545,
        1.45839,
        1.36466,
        1.48066,
        1.55807,
        1.50846,
        1.28534,
        1.31013,
        1.46533,
        1.51517,
        1.55872,
        1.54893,
        1.528,
        1.36152,
        1.40584,
        1.42037,
        1.47168,
        1.57057,
        1.42313,
        1.33156,
        1.32998,
        1.55081,
        1.42441,
        1.4755,
        1.26345,
        1.3774,
        1.32087,
        1.01994,
        1.11628,
        1.10218,
        1.2694,
        1.39706,
        1.39683,
        1.29796,
        1.42182,
        1.33351,
        1.09159,
        null,
        1.32135,
        1.22699,
        1.309,
        1.38356,
        1.51154,
        1.20663,
        1.00494,
        1.59482,
        1.33612,
        1.17563,
        1.5078,
        1.47009,
        1.4481,
        1.29088,
        1.2501,
        1.13834,
        1.32264,
        1.32311,
        1.37483,
        1.30013,
        1.44417,
        1.22102,
        1.27039,
        1.6236,
        1.54764,
        1.45642,
        1.3868,
        1.53128,
        1.47068,
        1.40977,
        1.31612,
        1.42548,
        1.43438,
        1.46642,
        1.40205,
        1.31018,
        1.38424,
        1.43225,
        1.42777,
        1.38135,
        1.54825,
        1.46315,
        1.41681,
        1.4684,
        1.39173,
        1.41128,
        1.39934,
        1.49185,
        1.47694,
        1.42655,
        1.48531,
        1.38488,
        1.43009,
        1.42541,
        1.30682,
        1.36977,
        1.47096,
        1.45882,
        1.37747,
        1.36221,
        1.40784,
        1.41798,
        1.42581,
        1.43989,
        1.47422,
        1.42685,
        1.49676,
        1.44034,
        1.38062,
        1.37935,
        1.36475,
        1.44122,
        1.49975,
        1.47821,
        1.37231,
        1.48899,
        1.41466,
        1.45083,
        1.43886,
        1.34897,
        1.36396,
        1.4259,
        1.39437,
        1.31301,
        1.4173,
        1.36762,
        1.40893,
        1.44288,
        1.36217,
        1.504,
        1.49361,
        1.47351,
        1.3251,
        1.31608,
        1.39701,
        1.37667,
        1.41666,
        1.51515,
        1.49951,
        1.4353,
        1.44669,
        1.47914,
        1.42004,
        1.34842,
        1.39111,
        1.45294,
        1.34977,
        1.42255,
        1.4825,
        1.42971,
        1.46425,
        1.34585,
        1.38771,
        1.40322,
        1.45976,
        1.42005,
        1.42716,
        1.41011,
        1.47386,
        1.54028,
        1.46139,
        1.38071,
        1.44004,
        1.37351,
        1.39153,
        1.43139,
        1.40968,
        1.44615,
        1.41161,
        1.51489,
        1.48605,
        1.43461,
        1.48105,
        1.46284,
        1.52204,
        1.44467,
        1.41686,
        1.49368,
        1.50346,
        1.36519,
        1.33965,
        1.46712,
        1.45117,
        1.46378,
        1.43571,
        1.46584,
        1.4525,
        1.38484,
        1.40378,
        1.46434,
        1.42509,
        1.42103,
        1.40838,
        1.42491,
        1.40494,
        1.39215,
        1.36242,
        1.39228,
        1.45905,
        1.42181,
        1.38627,
        1.37699,
        1.42532,
        1.47895,
        1.50198,
        1.42599,
        1.39287,
        1.41151,
        1.43688,
        1.46081,
        1.43939,
        1.45955,
        1.42616,
        1.40822,
        1.47818,
        1.48952,
        1.44333,
        1.55669,
        1.51039,
        1.50231,
        1.43032,
        1.3786,
        1.40306,
        1.51561,
        1.4484,
        1.42192,
        1.45745,
        1.38687,
        1.42433,
        1.43158,
        1.45223,
        1.43506,
        1.37156,
        1.47998,
        1.44565,
        1.46,
        1.45686,
        1.49208,
        1.45968,
        1.40869,
        1.44112,
        1.37046,
        1.40317,
        1.47575,
        1.51518,
        1.42344,
        1.45201,
        1.42058,
        1.48402,
        1.47402,
        1.47136,
        1.44989,
        1.39573,
        1.43313,
        1.41716,
        1.42978,
        1.46128,
        1.46681,
        1.44468,
        1.4501,
        1.43301,
        1.40682,
        1.39349,
        1.45321,
        1.47296,
        1.41223,
        1.46739,
        1.42241,
        1.48412,
        1.44563,
        1.45751,
        1.46694,
        1.48651,
        1.4119,
        1.39635,
        1.40045,
        1.40358,
        1.43736,
        1.44029,
        1.45725,
        1.44583,
        1.46746,
        1.45321,
        1.45956,
        1.4645,
        1.41494,
        1.4915,
        1.54904,
        1.48396,
        1.45002,
        1.48486,
        1.38299,
        1.4042,
        1.45883,
        1.43474,
        1.43153,
        1.47511,
        1.51111,
        1.48511,
        1.51083,
        1.50064,
        1.48043,
        1.48181,
        1.42544,
        1.37761,
        1.42717,
        1.38779,
        1.43214,
        1.49505,
        1.40975,
        1.39604,
        1.48991,
        1.40017,
        1.4768,
        1.53336,
        1.5233,
        1.39528,
        1.41694,
        1.4518,
        1.46892,
        1.4958,
        1.4018,
        1.42794,
        1.43417,
        1.41349,
        1.47055,
        1.5073,
        1.46384,
        1.41548,
        1.45935,
        1.36674,
        1.43223,
        1.49601,
        1.49808,
        1.4059,
        1.42742,
        1.50698,
        1.45399,
        1.41998,
        1.40659,
        1.43149,
        1.49178,
        1.47252,
        1.41441,
        1.45606,
        1.43279,
        1.42336,
        1.42924,
        1.41277,
        1.43792,
        1.43293,
        1.4596,
        1.44787,
        1.46802,
        1.43815,
        1.37643,
        1.41689,
        1.4358,
        1.45925,
        1.44201,
        1.43478,
        1.4897,
        1.47567,
        1.45812,
        1.46355,
        1.46407,
        1.46659,
        1.44128,
        1.4367,
        1.4042,
        1.48071,
        1.44444,
        1.39214,
        1.44536,
        1.44935,
        1.46722,
        1.45503,
        1.47918,
        1.41767,
        1.38068,
        1.43838,
        1.37259,
        1.41431,
        1.46585,
        1.4631,
        1.44794,
        1.42326,
        1.44042,
        1.45421,
        1.43531,
        1.42371,
        1.41386,
        1.43221,
        1.44093,
        1.42606,
        1.48302,
        1.4341,
        1.53044,
        1.44769,
        1.43627,
        1.43841,
        1.50307,
        1.47601,
        1.36556,
        1.4507,
        1.43714,
        1.44668,
        1.47052,
        1.49677,
        1.48555,
        1.46024,
        1.39327,
        1.41406,
        1.36784,
        1.40553,
        1.48256,
        1.48104,
        1.43468,
        1.4918,
        1.45165,
        1.38063,
        1.35636,
        1.36632,
        1.38813,
        1.34692,
        1.41441,
        1.4887,
        1.42575,
        1.39212,
        1.43186,
        1.41484,
        1.46129,
        1.44649,
        1.46634,
        1.46474,
        1.50298,
        1.4845,
        1.42551,
        1.51605,
        1.40096,
        1.42479,
        1.49269,
        1.47656,
        1.52741,
        1.50034,
        1.49555,
        1.43863,
        1.40635,
        1.45638,
        1.47672,
        1.45928,
        1.43399,
        1.49904,
        1.51219,
        1.49634,
        1.47978,
        1.43363,
        1.46296,
        1.36043,
        1.46142,
        1.39882,
        1.43083,
        1.46793,
        1.46052,
        1.44573,
        1.41954,
        1.46386,
        1.41975,
        1.39117,
        1.40922,
        1.41143,
        1.51006,
        1.5091,
        1.49828,
        1.45052,
        1.43527,
        1.42604,
        1.50342,
        1.47737,
        1.44417,
        1.47792,
        1.46567,
        1.41104,
        1.42091,
        1.39438,
        1.46238,
        1.42355,
        1.4151,
        1.46652,
        1.42695,
        1.37097,
        1.40239,
        1.41322,
        1.47371,
        1.47833,
        1.43851,
        1.45058,
        1.45178,
        1.50365,
        1.38269,
        1.49305,
        1.40156,
        1.43317,
        1.38962,
        1.40238,
        1.41963,
        1.38334,
        1.47065,
        1.46852,
        1.57215,
        1.47694,
        1.46684,
        1.52388,
        1.52048,
        1.39614,
        null,
        1.43097,
        1.4205,
        1.43019,
        1.4435,
        1.45022,
        1.42399,
        1.45757,
        1.49398,
        1.45088,
        1.41207,
        1.41366,
        1.39548,
        1.42761,
        1.41731,
        1.44466,
        1.47792,
        1.47039,
        1.3965,
        1.46548,
        1.46875,
        1.40353,
        1.41625,
        1.38373,
        1.42705,
        1.47176,
        1.4499,
        1.42405,
        1.3841,
        1.42588,
        1.4592,
        1.47903,
        1.44268,
        1.38218,
        1.41137,
        1.41588,
        1.40008,
        1.40725,
        1.45705,
        1.50035,
        1.40694,
        1.4508,
        1.51016,
        1.47122,
        1.47998,
        1.43977,
        1.41546,
        1.42524,
        1.41326,
        1.47043,
        1.4779,
        1.46475,
        1.47302,
        1.45592,
        1.43444,
        1.47204,
        1.47269,
        1.45162,
        1.48041,
        1.51081,
        1.48278,
        1.48629,
        1.48672,
        1.46939,
        1.44415,
        1.43022,
        1.43485,
        1.41294,
        1.45848,
        1.46482,
        1.43698,
        1.4162,
        1.41761,
        1.42764,
        1.47887,
        1.51688,
        1.45072,
        1.43381,
        1.42817,
        1.4077,
        1.43577,
        1.43668,
        1.4079,
        1.44983,
        1.42985,
        1.42045,
        1.457,
        1.45233,
        1.4429,
        1.4249,
        1.39576,
        1.40508,
        1.49681,
        1.47607,
        1.40246,
        1.46241,
        1.47629,
        1.36029,
        1.41494,
        1.5253,
        1.42007,
        1.45321,
        1.44833,
        1.43847,
        1.33522,
        1.41247,
        1.25334,
        1.27319,
        1.36912,
        1.4043,
        1.36801,
        1.47684,
        1.41861,
        1.4463,
        1.4797,
        1.39519,
        1.42828,
        1.38027,
        1.38902,
        1.37754,
        1.38908,
        1.43055,
        1.4026,
        1.42055,
        1.43367,
        1.4298,
        1.4602,
        1.44394,
        1.42533,
        1.43519,
        1.44489,
        1.45357,
        1.44974,
        1.45446,
        1.46134,
        1.44673,
        1.47559,
        1.48513,
        1.44881,
        1.48541,
        1.46725,
        1.44452,
        1.43938,
        1.46107,
        1.45262,
        1.44123,
        1.45085,
        1.46081,
        1.44017,
        1.44925,
        1.50363,
        1.47541,
        1.46973,
        1.46499,
        1.45178,
        1.43201,
        1.39481,
        1.42074,
        1.44169,
        1.43161,
        1.43687,
        1.46109,
        1.46308,
        1.42148,
        1.43854,
        1.40404,
        1.42647,
        1.43226,
        1.43135,
        1.43094,
        1.41796,
        1.42422,
        1.46212,
        1.44595,
        1.49069,
        1.45457,
        1.41507,
        1.43604,
        1.50121,
        1.53182,
        1.45622,
        1.40586,
        1.43392,
        1.42437,
        1.41837,
        1.45525,
        1.44982,
        1.43273,
        1.43734,
        1.42656,
        1.44651,
        1.46811,
        1.47331,
        1.40233,
        1.44939,
        1.41721,
        1.40775,
        1.38793,
        1.43312,
        1.47438,
        1.47443,
        1.44065,
        1.43265,
        1.42897,
        1.40785,
        1.46621,
        1.46583,
        1.45501,
        1.4585,
        1.42659,
        1.46369,
        1.45521,
        1.45033,
        1.43417,
        1.47593,
        1.41846,
        1.45672,
        1.48057,
        1.49981,
        1.48616,
        1.41378,
        1.41784,
        1.394,
        1.46276,
        1.50446,
        1.45277,
        1.49321,
        1.48197,
        1.40403,
        1.42792,
        1.46955,
        1.45402,
        1.47694,
        1.44743,
        1.46917,
        1.45698,
        1.45799,
        1.42887,
        1.39317,
        1.38199,
        1.43556,
        1.44245,
        1.43802,
        1.44505,
        1.48033,
        1.47818,
        1.4809,
        1.46761,
        1.44746,
        1.45395,
        1.45213,
        1.42252,
        1.41645,
        1.43979,
        1.42236,
        1.44287,
        1.50011,
        1.50704,
        1.4836,
        1.42586,
        1.4133,
        1.42792,
        1.43561,
        1.43552,
        1.41177,
        1.45258,
        1.46027,
        1.52268,
        1.49655,
        1.48116,
        1.44392,
        1.43038,
        1.40005,
        1.45774,
        1.43402,
        1.46563,
        1.44199,
        1.40235,
        1.46862,
        1.44601,
        1.4261,
        1.43785,
        1.48697,
        1.48932,
        1.52577,
        1.47462,
        1.53617,
        1.52752,
        1.51921,
        1.49223,
        1.49418,
        1.49775,
        1.54073,
        1.49879,
        1.52267,
        1.50329,
        1.53198,
        1.50137,
        1.48571,
        1.45515,
        1.49391,
        1.49953,
        1.5181,
        1.45736,
        1.50703,
        1.5263,
        1.54423,
        1.52649,
        1.49785,
        1.5365,
        1.51914,
        1.53432,
        1.51995,
        1.47694,
        1.50849,
        1.49017,
        1.47979,
        1.47772,
        1.48873,
        1.46404,
        1.46685,
        1.51958,
        1.49429,
        1.49573,
        1.46065,
        1.46332,
        1.4691,
        1.46419,
        1.46037,
        1.42394,
        1.403,
        1.41938,
        1.41028,
        1.44293,
        1.43892,
        1.47752,
        1.43301,
        1.41693,
        1.41907,
        1.46181,
        1.44332,
        1.40139,
        1.41922,
        1.45591,
        1.44449,
        1.43447,
        1.43301,
        1.45744,
        1.48982,
        1.50637,
        1.43926,
        1.43827,
        1.42468,
        1.45106,
        1.42309,
        1.40745,
        1.43489,
        1.3719,
        1.41727,
        1.44962,
        1.44008,
        1.44391,
        1.44657,
        1.47991,
        1.40899,
        1.38071,
        1.46264,
        1.38238,
        1.3956,
        1.39508,
        1.40308,
        1.45235,
        1.47614,
        1.41096,
        1.47583,
        1.43037,
        1.42314,
        1.44384,
        1.43194,
        1.49057,
        1.44366,
        1.42004,
        1.46613,
        1.43163,
        1.40562,
        1.44287,
        1.42234,
        1.37965,
        1.37208,
        1.40293,
        1.36324,
        1.42752,
        1.46663,
        1.44797,
        1.41491,
        1.38423,
        1.43805,
        1.44797,
        1.43441,
        1.4568,
        1.4198,
        1.39792,
        1.41233,
        1.43698,
        1.43734,
        1.43042,
        1.49381,
        1.4366,
        1.41811,
        1.45339,
        1.42719,
        1.45035,
        1.48395,
        1.45173,
        1.44336,
        1.44385,
        1.45604,
        1.41571,
        1.41886,
        1.41394,
        1.43463,
        1.45274,
        1.43687,
        1.39433,
        1.41615,
        1.45403,
        1.42083,
        1.50376,
        1.43952,
        1.42293,
        1.47318,
        1.44818,
        1.43134,
        1.40479,
        1.40133,
        1.41686,
        1.34892,
        1.43553,
        1.45512,
        1.4356,
        1.4692,
        1.42714,
        1.41173,
        1.42953,
        1.42675,
        1.47485,
        1.40736,
        1.4383,
        1.48338,
        1.42551,
        1.38646,
        1.41395,
        1.38273,
        1.40314,
        1.38295,
        1.4051,
        1.41979,
        1.43997,
        1.41589,
        1.40163,
        1.37917,
        1.37195,
        1.38212,
        1.4039,
        1.43281,
        1.38579,
        1.41902,
        1.45096,
        1.34189,
        1.33472,
        1.30955,
        1.40039,
        1.43556,
        1.43834,
        1.42531,
        1.41771,
        1.42993,
        1.42491,
        1.38597,
        1.40394,
        1.40078,
        1.42845,
        1.41525,
        1.40876,
        1.42744,
        1.4317,
        1.4519,
        1.4359,
        1.42076,
        1.43888,
        1.44236,
        1.46831,
        1.45075,
        1.43722,
        1.44552,
        1.44444,
        1.44716,
        1.44759,
        1.42786,
        1.46947,
        1.4163,
        1.40654,
        1.41504,
        1.44314,
        1.47572,
        1.4315,
        1.47275,
        1.43452,
        1.43556,
        1.46408,
        1.39085,
        1.38914,
        1.43155,
        1.47053,
        1.38216,
        1.37401,
        1.37622,
        1.45076,
        1.39392,
        1.43062,
        1.43214,
        1.42201,
        1.37402,
        1.38141,
        1.3744,
        1.358,
        1.42285,
        1.42181,
        1.43586,
        1.39729,
        1.36462,
        1.4486,
        1.42261,
        1.45663,
        1.41067,
        1.41513,
        1.43962,
        1.47986,
        1.44695,
        1.4332,
        1.43244,
        1.4409,
        1.49493,
        1.42536,
        1.4746,
        1.48715,
        1.45203,
        1.43528,
        1.43351,
        1.43006,
        1.44007,
        1.47402,
        1.42547,
        1.43793,
        1.45103,
        1.44034,
        1.40766,
        1.46464,
        1.45675,
        1.46857,
        1.41046,
        1.43622,
        1.45655,
        1.47518,
        1.41953,
        1.41604,
        1.44523,
        1.40804,
        1.45293,
        1.53973,
        1.41765,
        1.4119,
        1.4604,
        1.42176,
        1.45816,
        1.42362,
        1.4256,
        1.42602,
        1.36854,
        1.36911,
        1.40187,
        1.39589,
        1.45292,
        1.44922,
        1.42204,
        1.53671,
        1.49361,
        1.41876,
        1.44152,
        1.43272,
        1.47801,
        1.4492,
        1.42485,
        1.43998,
        1.40732,
        1.39876,
        1.48589,
        1.4241,
        1.42939,
        1.455,
        1.45634,
        1.41617,
        1.40749,
        1.43509,
        1.43194,
        1.43224,
        1.37325,
        1.40574,
        1.36766,
        1.48828,
        1.45996,
        1.40932,
        1.39164,
        1.42351,
        1.43209,
        1.27836,
        1.41024,
        1.46197,
        1.37979,
        1.36944,
        1.35265,
        1.36387,
        1.27974,
        1.30822,
        1.36763,
        1.44413,
        1.41157,
        1.37899,
        1.31091,
        1.37539,
        1.10564,
        1.2962,
        1.33745,
        1.33968,
        1.20846,
        1.32412,
        1.32613,
        1.31715,
        1.41397,
        1.40515,
        1.48184,
        1.38306,
        1.45702,
        1.45464,
        1.41669,
        1.47015,
        1.44097,
        1.44373,
        1.49972,
        1.40522,
        1.43989,
        1.42564,
        1.46068,
        1.36468,
        1.39628,
        1.42682,
        1.50899,
        1.47269,
        1.4264,
        1.39127,
        1.42024,
        1.39857,
        1.46857,
        1.42176,
        1.47719,
        1.4971,
        1.41706,
        1.45346,
        1.35992,
        1.42926,
        1.41067,
        1.42756,
        1.46258,
        1.44476,
        1.44375,
        1.40527,
        1.41021,
        1.45322,
        1.4434,
        1.45728,
        1.42854,
        1.44562,
        1.44233,
        1.36107,
        1.44449,
        1.40858,
        1.45329,
        1.40496,
        1.44769,
        1.43572,
        1.44592,
        1.47807,
        1.44342,
        1.47413,
        1.49258,
        1.43632,
        1.39888,
        1.48959,
        1.37318,
        1.37732,
        1.40954,
        1.39047,
        1.42329,
        1.43384,
        1.41397,
        1.39074,
        1.40527,
        1.41055,
        1.44171,
        1.39799,
        1.42917,
        1.46364,
        1.44367,
        1.37918,
        1.43341,
        1.43575,
        1.42618,
        1.42541,
        1.46875,
        1.4624,
        1.46937,
        1.47377,
        1.40993,
        1.40916,
        1.40576,
        1.42575,
        1.42583,
        1.44523,
        1.39663,
        1.43442,
        1.42174,
        1.41617,
        1.39821,
        1.39485,
        1.4255,
        1.43572,
        1.41746,
        1.41493,
        1.41104,
        1.40415,
        1.36913,
        1.40795,
        1.44231,
        1.44741,
        1.4557,
        1.43081,
        1.41241,
        1.43606,
        1.41163,
        1.40513,
        1.41603,
        1.39866,
        1.41044,
        1.44631,
        1.46252,
        1.44571,
        1.40383,
        1.38146,
        1.39202,
        1.42624,
        1.41905,
        1.44533,
        1.40089,
        1.41326,
        1.4073,
        1.40003,
        1.43786,
        1.43963,
        1.41688,
        1.42127,
        1.38843,
        1.41326,
        1.38831,
        1.41425,
        1.3976,
        1.42454,
        1.4173,
        1.43327,
        1.41279,
        1.38278,
        1.40085,
        1.39262,
        1.42805,
        1.42935,
        1.45251,
        1.41574,
        1.47571,
        1.44669,
        1.44556,
        1.45766,
        1.40866,
        1.39521,
        1.42484,
        1.4298,
        1.44109,
        1.48923,
        1.48354,
        1.40227,
        1.42891,
        1.44065,
        1.44758,
        1.43283,
        1.41906,
        1.42006,
        1.43629,
        1.46244,
        1.41325,
        1.44378,
        1.45478,
        1.41751,
        1.40493,
        1.43003,
        1.46729,
        1.4612,
        1.4273,
        1.43598,
        1.4482,
        1.44233,
        1.43473,
        1.35368,
        1.3751,
        1.39427,
        1.40029,
        1.46838,
        1.45645,
        1.41624,
        1.44397,
        1.4399,
        1.42356,
        1.44657,
        1.41157,
        1.38377,
        1.42694,
        1.43549,
        1.44152,
        1.44072,
        1.44744,
        1.47774,
        1.41891,
        1.42798,
        1.4654,
        1.47654,
        1.47254,
        1.47665,
        1.43221,
        1.4253,
        1.48475,
        1.50327,
        1.45911,
        1.41951,
        1.4386,
        1.43566,
        1.45376,
        1.41672,
        1.44325,
        1.43646,
        1.43574,
        1.45611,
        1.46016,
        1.46807,
        1.44032,
        1.446,
        1.49691,
        1.53261,
        1.46113,
        1.49419,
        1.501,
        1.53881,
        1.49908,
        1.47951,
        1.42865,
        1.46001,
        1.49555,
        1.49385,
        1.48629,
        1.51817,
        1.44448,
        1.47062,
        1.50041,
        1.49222,
        1.50078,
        1.51399,
        1.49954,
        1.50336,
        1.49619,
        1.49105,
        1.48762,
        1.46822,
        1.45484,
        1.44586,
        1.45686,
        1.453,
        1.46206,
        1.48061,
        1.49502,
        1.46716,
        1.44475,
        1.46773,
        1.49264,
        1.50887,
        1.50283,
        1.50659,
        1.49145,
        1.47182,
        1.50484,
        1.4937,
        1.46757,
        1.47844,
        1.45254,
        1.47359,
        1.52701,
        1.47591,
        1.4675,
        1.4807,
        1.4967,
        1.45136,
        1.44193,
        1.48274,
        1.50847,
        1.46592,
        1.46605,
        1.47295,
        1.44527,
        1.45002,
        1.4549,
        1.46727,
        1.45728,
        1.46196,
        1.42792,
        1.41199,
        1.45132,
        1.45424,
        1.42776,
        1.44027,
        1.45722,
        1.46246,
        1.49944,
        1.47831,
        1.4537,
        1.47551,
        1.41239,
        1.43972,
        1.48476,
        1.48309,
        1.47722,
        1.41745,
        1.42576,
        1.44555,
        1.43065,
        1.42786,
        1.50898,
        1.43171,
        1.39607,
        1.44021,
        1.45585,
        1.45496,
        1.49363,
        1.41635,
        1.43314,
        1.45546,
        1.48502,
        1.4167,
        1.48936,
        1.4665,
        1.44708,
        1.42621,
        1.45015,
        1.45757,
        1.42969,
        1.47607,
        1.47993,
        1.47365,
        1.49128,
        1.49119,
        1.48621,
        1.4696,
        1.45675,
        1.44301,
        1.45127,
        1.4569,
        1.44072,
        1.41078,
        1.38475,
        1.43059,
        1.46293,
        1.44627,
        1.45187,
        1.44859,
        1.47219,
        1.41583,
        1.42725,
        1.42782,
        1.43921,
        1.42273,
        1.46034,
        1.43438,
        1.47531,
        1.46657,
        1.40978,
        1.40566,
        1.49635,
        1.51408,
        1.49922,
        1.45749,
        1.45793,
        1.45994,
        1.44524,
        1.45786,
        1.39698,
        1.44125,
        1.39839,
        1.43357,
        1.44744,
        1.41351,
        1.43662,
        1.39583,
        1.4267,
        1.43699,
        1.44034,
        1.40546,
        1.45086,
        1.41121,
        1.43982,
        1.43667,
        1.42054,
        1.46455,
        1.38128,
        1.38573,
        1.42621,
        1.42377,
        1.46739,
        1.4339,
        1.45753,
        1.42365,
        1.39772,
        1.46074,
        1.45322,
        1.44547,
        1.48149,
        1.44716,
        1.48737,
        1.45982,
        1.38542,
        1.43611,
        1.4657,
        1.42821,
        1.42408,
        1.43402,
        1.43343,
        1.45211,
        1.45949,
        1.41671,
        1.37561,
        1.42518,
        1.44157,
        1.41842,
        1.42285,
        1.40841,
        1.41354,
        1.40802,
        1.451,
        1.40366,
        1.46614,
        1.4392,
        1.42354,
        1.37967,
        1.37358,
        1.41338,
        1.41226,
        1.42688,
        1.44513,
        1.43405,
        1.44819,
        1.47054,
        1.47499,
        1.41158,
        1.45756,
        1.46721,
        1.41611,
        1.43619,
        1.45358,
        1.40124,
        1.36071,
        1.41896,
        1.48401,
        1.45543,
        1.45724,
        1.41021,
        1.39207,
        1.43245,
        1.4111,
        1.42565,
        1.41578,
        1.42228,
        1.44316,
        1.43116,
        1.39502,
        1.46044,
        1.47891,
        1.43906,
        1.45594,
        1.4667,
        1.47286,
        1.45922,
        1.43405,
        1.47997,
        1.42971,
        1.44299,
        1.42555,
        1.41381,
        1.47923,
        1.42409,
        1.42093,
        1.46847,
        1.4298,
        1.4192,
        1.40446,
        1.41993,
        1.38256,
        1.41931,
        1.40195,
        1.421,
        1.40948,
        1.42846,
        1.43374,
        1.4151,
        1.42679,
        1.38437,
        1.40377,
        1.41149,
        1.43435,
        1.46602,
        1.46264,
        1.43805,
        1.44216,
        1.43126,
        1.42326,
        1.45629,
        1.49794,
        1.41884,
        1.41217,
        1.36828,
        1.44677,
        1.43213,
        1.42308,
        1.45949,
        1.45643,
        1.40801,
        1.46538,
        1.43806,
        1.42295,
        1.45737,
        1.42336,
        1.40338,
        1.37473,
        1.3951,
        1.42331,
        1.38951,
        1.37908,
        1.44126,
        1.44608,
        1.41136,
        1.41672,
        1.4248,
        1.46009,
        1.43623,
        1.41869,
        1.46118,
        1.43401,
        1.41195,
        1.42075,
        1.42768,
        1.44789,
        1.45363,
        1.41856,
        1.42606,
        1.41746,
        1.43503,
        1.44674,
        1.4336,
        1.41498,
        1.42285,
        1.41046,
        1.40044,
        1.43744,
        1.47928,
        1.44676,
        1.42284,
        1.41112,
        1.4173,
        1.4345,
        1.42537,
        1.44018,
        1.43555,
        1.40459,
        1.43896,
        1.44033,
        1.41546,
        1.39093,
        1.33049,
        1.39123,
        1.4558,
        1.4008,
        1.43795,
        1.43516,
        1.40856,
        1.40085,
        1.38926,
        1.38422,
        1.39616,
        1.40204,
        1.42784,
        1.41856,
        1.40555,
        1.42597,
        1.43619,
        1.40796,
        1.40141,
        1.42141,
        1.43712,
        1.39995,
        1.39225,
        1.40414,
        1.42807,
        1.4787,
        1.38101,
        1.41378,
        1.42398,
        1.3909,
        1.40696,
        1.45428,
        1.39294,
        1.37775,
        1.35922,
        1.37449,
        1.40871,
        1.41398,
        1.38007,
        1.40968,
        1.42322,
        1.41917,
        1.44723,
        1.45447,
        1.40786,
        1.43115,
        1.45811,
        1.45025,
        1.39994,
        1.40505,
        1.42871,
        1.38656,
        1.44186,
        1.42254,
        1.41919,
        1.3779,
        1.46221,
        1.48437,
        1.44319,
        1.4283,
        1.41785,
        1.42023,
        1.41081,
        1.41945,
        1.40612,
        1.36581,
        1.41987,
        1.41052,
        1.42576,
        1.42309,
        1.42319,
        1.38246,
        1.42365,
        1.44165,
        1.47598,
        1.46827,
        1.46236,
        1.42409,
        1.4698,
        1.4251,
        1.38659,
        1.38582,
        1.43654,
        1.4234,
        1.4145,
        1.43025,
        1.41731,
        1.45862,
        1.41664,
        1.44234,
        1.42147,
        1.42241,
        1.41388,
        1.42878,
        1.41632,
        1.45947,
        1.44259,
        1.38365,
        1.41582,
        1.40193,
        1.41477,
        1.40132,
        1.43032,
        1.43094,
        1.45138,
        1.40085,
        1.38075,
        1.42517,
        1.48256,
        1.45145,
        1.41825,
        1.45341,
        1.4314,
        1.41619,
        1.44918,
        1.40081,
        1.41434,
        1.4587,
        1.41871,
        1.41007,
        1.43463,
        1.41543,
        1.4168,
        1.44984,
        1.44038,
        1.42075,
        1.34807,
        1.36602,
        1.40958,
        1.38083,
        1.45515,
        1.45207,
        1.4031,
        1.40638,
        1.3787,
        1.38782,
        1.42533,
        1.47741,
        1.47298,
        1.39436,
        1.47765,
        1.46592,
        1.42551,
        1.40266,
        1.4547,
        1.433,
        1.42515,
        1.42441,
        1.37096,
        1.41786,
        1.43588,
        1.432,
        1.44997,
        1.41966,
        1.40259,
        1.45631,
        1.3277,
        1.37905,
        1.42331,
        1.4689,
        1.4682,
        1.45431,
        1.38201,
        1.40337,
        1.40602,
        1.40788,
        1.46057,
        1.46258,
        1.42767,
        1.37876,
        1.3834,
        1.41242,
        1.43251,
        1.42161,
        1.44969,
        1.41922,
        1.41824,
        1.40614,
        1.40259,
        1.46446,
        1.46192,
        1.42492,
        1.44662,
        1.39453,
        1.48814,
        1.43434,
        1.40887,
        1.38455,
        1.41732,
        1.41871,
        1.45584,
        1.41329,
        1.44795,
        1.50571,
        1.51614,
        1.46863,
        1.45306,
        1.48028,
        1.43264,
        1.41021,
        1.43457,
        1.38572,
        1.43888,
        1.45689,
        1.47039,
        1.44335,
        1.45403,
        1.40946,
        1.40694,
        1.434,
        1.45418,
        1.45174,
        1.43931,
        1.45524,
        1.44497,
        1.4931,
        1.44133,
        1.44855,
        1.48577,
        1.44165,
        1.43165,
        1.4097,
        1.4425,
        1.39424,
        1.42355,
        1.42299,
        1.45935,
        1.37895,
        1.4107,
        1.40241,
        1.45236,
        1.39441,
        1.40893,
        1.41499,
        1.36582,
        1.41382,
        1.45918,
        1.44132,
        1.41457,
        1.41302,
        1.39844,
        1.42358,
        1.41062,
        1.38275,
        1.40032,
        1.38614,
        1.41063,
        1.3964,
        1.45354,
        1.43031,
        1.39167,
        1.45106,
        1.43917,
        1.38492,
        1.39889,
        1.43184,
        1.43798,
        1.44169,
        1.39516,
        1.45645,
        1.48188,
        1.42937,
        1.40968,
        1.39232,
        1.41733,
        1.40511,
        1.46515,
        1.50763,
        1.42879,
        1.40203,
        1.41937,
        1.46808,
        1.45315,
        1.45396,
        1.44929,
        1.48039,
        1.44584,
        1.39276,
        1.41383,
        1.42779,
        1.40987,
        1.53466,
        1.40012,
        1.4302,
        1.38159,
        1.49531,
        1.53306,
        1.47366,
        1.52088,
        1.38145,
        1.34857,
        1.38435,
        1.51658,
        1.373,
        1.40655,
        1.41028,
        1.43357,
        1.47772,
        1.44737,
        1.42313,
        1.48054,
        1.42767,
        1.40658,
        1.40767,
        1.42801,
        1.38899,
        1.48574,
        1.44449,
        1.39617,
        1.42101,
        1.51321,
        1.48963,
        1.46567,
        1.50869,
        1.51444,
        1.39884,
        1.43896,
        1.55885,
        1.42679,
        1.44403,
        1.53999,
        1.52794,
        1.47405,
        1.46232,
        1.46811,
        1.45725,
        1.44102,
        1.49985,
        1.48102,
        1.4208,
        1.4426,
        1.47442,
        1.49972,
        1.39519,
        1.44013,
        1.39979,
        1.38569,
        1.4799,
        1.50322,
        1.47828,
        1.52683,
        1.52993,
        1.4948,
        1.40693,
        1.46503,
        1.46978,
        1.47784,
        1.57045,
        1.48296,
        1.47201,
        1.48417,
        1.38723,
        1.42367,
        1.4584,
        1.4586,
        1.43632,
        1.35227,
        1.4053,
        1.46824,
        1.52815,
        1.39868,
        1.40272,
        1.47284,
        1.42433,
        1.42111,
        1.4165,
        1.48289,
        1.41928,
        1.41882,
        1.40737,
        1.41169,
        1.41626,
        1.51947,
        1.42689,
        1.41269,
        1.40131,
        1.42753,
        1.4907,
        1.3958,
        1.38898,
        1.36336,
        1.36876,
        1.38131,
        1.47508,
        1.43368,
        1.46517,
        1.46172,
        1.43352,
        1.5696,
        1.38738,
        1.55734,
        1.41892,
        1.49812,
        1.52882,
        1.39698,
        1.39996,
        1.37147,
        1.40378,
        1.35228,
        1.41917,
        1.40361,
        1.45543,
        1.42446,
        1.35488,
        1.35622,
        1.50597,
        1.46464,
        1.44909,
        1.29153,
        1.39414,
        1.47198,
        1.48711,
        1.40193,
        1.52607,
        1.42326,
        1.38375,
        1.33644,
        1.3163,
        1.28989,
        1.14895,
        1.18354,
        1.23258,
        1.37362,
        1.41075,
        1.62196,
        1.59018,
        1.59675,
        1.40994,
        1.42471,
        1.40103,
        1.47388,
        1.36623,
        1.50012,
        1.51514,
        1.34111,
        1.27558,
        1.14629,
        1.27336,
        1.3836,
        1.32741,
        1.3304,
        1.38483,
        1.20568,
        1.05754,
        1.08378,
        1.4112,
        1.53644,
        1.31405,
        1.55911,
        1.49912,
        1.47804,
        1.27742,
        1.36282,
        1.26252,
        1.44096,
        1.36716,
        1.62133,
        1.59459,
        1.41743,
        1.23199,
        null,
        1.4479,
        1.19908,
        1.35661,
        1.25955,
        1.53594,
        1.17731,
        1.28615,
        1.19626,
        1.42679,
        1.48182,
        1.46854,
        1.39959,
        1.17232,
        1.3653,
        1.4462,
        1.12767,
        1.29474,
        1.14846,
        1.43252,
        1.23774,
        1.39824,
        1.21454,
        1.01304,
        1.16572,
        1.11219,
        1.28358,
        1.54182,
        1.31081,
        1.38381,
        1.58535,
        1.9791,
        1.64095,
        null,
        1.94154,
        1.35977,
        1.48949,
        1.20215,
        1.48461,
        1.28439,
        1.3018,
        1.18828,
        1.32643,
        1.56791,
        1.55546,
        1.3309,
        1.39617,
        1.21899,
        1.40156,
        1.49328,
        1.50576,
        1.55695,
        1.33817,
        1.46634,
        1.39361,
        1.42647,
        1.62584,
        1.4371,
        1.41183,
        1.39736,
        1.41698,
        1.3971,
        1.45665,
        1.45438,
        1.25925,
        1.28778,
        1.25507,
        1.33134,
        1.23551,
        1.16486,
        1.22236,
        1.30963,
        1.49082,
        1.34989,
        1.39919,
        1.48,
        1.46294,
        1.46977,
        1.43939,
        1.42131,
        1.36467,
        1.38245,
        1.28784,
        1.27616,
        1.37745,
        1.41824,
        1.42619,
        1.32678,
        1.49597,
        1.33274,
        1.4787,
        1.40941,
        1.41879,
        1.4096,
        1.38965,
        1.30993,
        1.39173,
        1.42655,
        1.50359,
        1.47764,
        1.46166,
        1.35487,
        1.3288,
        1.29916,
        1.48475,
        1.48813,
        1.41725,
        1.40497,
        1.28751,
        1.30356,
        1.30725,
        1.394,
        1.46688,
        1.41584,
        1.36797,
        1.45094,
        1.45426,
        1.37399,
        1.36959,
        1.38759,
        1.30262,
        1.4387,
        1.49311,
        1.45042,
        1.54583,
        1.40663,
        1.39799,
        1.40754,
        1.48365,
        null,
        1.4151,
        1.43964,
        1.44172,
        1.44492,
        1.43926,
        1.43337,
        1.48001,
        1.41775,
        1.46405,
        1.40832,
        1.3908,
        1.43564,
        1.47073,
        1.46873,
        1.5005,
        1.47902,
        1.50858,
        1.46035,
        1.43551,
        1.45776,
        1.43762,
        1.43425,
        1.4873,
        1.46863,
        1.44637,
        1.46437,
        1.4458,
        1.42119,
        1.37685,
        1.48439,
        1.48868,
        1.44315,
        1.41691,
        1.38499,
        1.40449,
        1.45573,
        1.46731,
        1.42289,
        1.3442,
        1.41879,
        1.43374,
        1.47824,
        1.53398,
        1.58911,
        1.5612,
        1.47669,
        1.44519,
        1.49104,
        1.4473,
        1.41742,
        1.48693,
        1.45966,
        1.38388,
        1.42491,
        1.52667,
        1.52827,
        1.43965,
        1.48967,
        1.44325,
        1.40196,
        1.37831,
        1.47341,
        1.44828,
        1.40668,
        1.4413,
        1.40698,
        1.39239,
        1.36295,
        1.44913,
        1.37159,
        1.44661,
        1.43406,
        1.40005,
        1.404,
        1.54413,
        1.45267,
        1.48875,
        1.45858,
        1.39895,
        1.34168,
        1.45952,
        1.39678,
        1.33546,
        1.44355,
        1.27872,
        1.3218,
        1.41465,
        1.46029,
        1.44896,
        1.41341,
        1.42454,
        1.46619,
        1.44009,
        1.30634,
        1.4207,
        1.38009,
        1.38678,
        1.29848,
        1.33079,
        1.4168,
        1.43023,
        1.31039,
        1.27052,
        1.3261,
        1.35881,
        1.36604,
        1.30649,
        1.26321,
        1.29524,
        1.37817,
        1.11179,
        1.49704,
        1.3178,
        1.1772,
        1.24895,
        1.47323,
        1.25141,
        1.28905,
        1.44851,
        1.22641,
        1.37438,
        1.38213,
        1.4107,
        1.25525,
        1.38532,
        1.46508,
        1.41233,
        1.39922,
        1.45803,
        1.47971,
        1.45785,
        1.47952,
        1.34065,
        1.359,
        1.40172,
        1.43323,
        1.35227,
        1.42435,
        1.38661,
        1.50124,
        1.49212,
        1.31825,
        1.32141,
        1.38214,
        1.54674,
        1.48335,
        1.44108,
        1.31903,
        1.42645,
        1.49257,
        1.53928,
        1.48638,
        1.46709,
        1.30377,
        1.42304,
        1.5067,
        1.36544,
        1.35902,
        1.40873,
        1.40647,
        1.46668,
        1.4721,
        1.4749,
        1.45419,
        1.42856,
        1.45036,
        1.38364,
        1.36455,
        1.4075,
        1.40167,
        1.44759,
        1.4182,
        1.36691,
        1.42623,
        1.40816,
        1.42919,
        1.44337,
        1.43955,
        1.44574,
        1.45745,
        1.44964,
        1.40753,
        1.44153,
        1.44538,
        1.39746,
        1.43101,
        1.46427,
        1.53312,
        1.49596,
        1.41956,
        1.39174,
        1.37932,
        1.44779,
        1.39913,
        1.3723,
        1.35458,
        1.46719,
        1.46641,
        1.40896,
        1.45306,
        1.50282,
        1.42935,
        1.39983,
        1.42003,
        1.37825,
        1.42501,
        1.45273,
        1.45048,
        1.45026,
        1.39047,
        1.45307,
        1.47351,
        1.47066,
        1.42698,
        1.44696,
        1.46049,
        1.45049,
        1.42684,
        1.42643,
        1.3701,
        1.40034,
        1.40879,
        1.4278,
        1.42823,
        1.44928,
        1.46764,
        1.46811,
        1.43279,
        1.4379,
        1.43415,
        1.43582,
        1.46846,
        1.48625,
        1.45177,
        1.45847,
        1.44084,
        1.43121,
        1.43322,
        1.3756,
        1.43574,
        1.35784,
        1.44337,
        1.43431,
        1.42791,
        1.4341,
        1.47711,
        1.44903,
        1.45557,
        1.49557,
        1.48629,
        1.4795,
        1.44216,
        1.47287,
        1.42432,
        1.49064,
        1.43894,
        1.46126,
        1.46164,
        1.45205,
        1.40144,
        1.42214,
        1.4036,
        1.39881,
        1.43365,
        1.44947,
        1.49734,
        1.44432,
        1.41487,
        1.49594,
        1.43791,
        1.45747,
        1.46755,
        1.37737,
        1.43268,
        1.4386,
        1.44339,
        1.40413,
        1.43333,
        1.46265,
        1.46569,
        1.46845,
        1.48198,
        1.44643,
        1.49138,
        1.45122,
        1.44611,
        1.50046,
        1.46574,
        1.52145,
        1.53258,
        1.52239,
        1.50653,
        1.43199,
        1.44772,
        1.39402,
        1.44404,
        1.52988,
        1.4304,
        1.4703,
        1.46681,
        1.44521,
        1.42586,
        1.44852,
        1.44658,
        1.47616,
        1.49195,
        1.49533,
        1.45115,
        1.45474,
        1.43349,
        1.43884,
        1.42723,
        1.48756,
        1.46243,
        1.43836,
        1.46865,
        1.48628,
        1.45817,
        1.43056,
        1.46478,
        1.4822,
        1.45648,
        1.44337,
        1.46434,
        1.46307,
        1.42076,
        1.39858,
        1.48242,
        1.45821,
        1.44072,
        1.46115,
        1.46602,
        1.48409,
        1.47671,
        1.48355,
        1.51899,
        1.52804,
        1.49422,
        1.47371,
        1.45157,
        1.50971,
        1.48536,
        1.46111,
        1.50517,
        1.44033,
        1.48877,
        1.52785,
        1.50278,
        1.4926,
        1.47152,
        1.46093,
        1.45189,
        1.38188,
        1.48127,
        1.5107,
        1.46238,
        1.45449,
        1.46248,
        1.52041,
        1.46858,
        1.48269,
        1.48069,
        1.40803,
        1.46935,
        1.43491,
        1.52362,
        1.53194,
        1.46699,
        1.48351,
        1.47409,
        1.51815,
        1.51058,
        1.43826,
        1.43918,
        1.44262,
        1.44534,
        1.504,
        1.51983,
        1.48144,
        1.50848,
        1.49227,
        1.45828,
        1.47974,
        1.45826,
        1.44583,
        1.4973,
        1.4494,
        1.47678,
        1.47937,
        1.44869,
        1.48252,
        1.45767,
        1.49286,
        1.45482,
        1.49552,
        1.50969,
        1.54537,
        1.49416,
        1.53549,
        1.53676,
        1.50898,
        1.47296,
        1.47172,
        1.42278,
        1.51337,
        1.49132,
        1.4864,
        1.47988,
        1.46493,
        1.47819,
        1.47833,
        1.43609,
        1.48408,
        1.48449,
        1.46917,
        1.47014,
        1.47479,
        1.48403,
        1.50216,
        1.52775,
        1.54512,
        1.50863,
        1.47652,
        1.42165,
        1.46581,
        1.52752,
        1.46295,
        1.45176,
        1.4731,
        1.48089,
        1.40592,
        1.40607,
        1.43752,
        1.5067,
        1.45618,
        1.38552,
        1.47214,
        1.51943,
        1.45337,
        1.46408,
        1.48301,
        1.46832,
        1.45407,
        1.44085,
        1.45076,
        1.42185,
        1.52142,
        1.47779,
        1.50136,
        1.45786,
        1.49169,
        1.42899,
        1.4472,
        1.43476,
        1.52263,
        1.50562,
        1.50137,
        1.47601,
        1.46496,
        1.44974,
        1.48317,
        1.45036,
        1.47352,
        1.42704,
        1.43888,
        1.48548,
        1.46179,
        1.44196,
        1.44655,
        1.42288,
        1.49754,
        1.4441,
        1.39651,
        1.36252,
        1.46317,
        1.49074,
        1.47121,
        1.436,
        1.45634,
        1.45323,
        1.38256,
        1.40382,
        1.47553,
        1.49221,
        1.43886,
        1.41184,
        1.41986,
        1.44152,
        1.46788,
        1.50101,
        1.37162,
        1.47218,
        1.42959,
        1.37488,
        1.46052,
        1.43923,
        1.42877,
        1.32634,
        1.25787,
        1.09193,
        1.47406,
        1.53177,
        1.03797,
        1.36636,
        1.31051,
        1.26871,
        1.19626,
        1.30378,
        1.4672,
        1.29911,
        1.34157,
        1.44923,
        1.43613,
        1.44494,
        1.3669,
        1.43797,
        1.45837,
        1.41358,
        1.48981,
        1.4559,
        1.4226,
        1.47114,
        1.4957,
        1.35857,
        1.41288,
        1.51165,
        1.46538,
        1.44551,
        1.43972,
        1.42699,
        1.41583,
        1.45841,
        1.4378,
        1.36282,
        1.39557,
        1.44223,
        1.47124,
        1.51553,
        1.43393,
        1.4168,
        1.41079,
        1.42794,
        1.42061,
        1.4093,
        1.45497,
        1.47557,
        1.48444,
        1.4094,
        1.43587,
        1.45855,
        1.49547,
        1.48438,
        1.4397,
        1.43905,
        1.50399,
        1.48045,
        1.5038,
        1.44913,
        1.44849,
        1.42879,
        1.48432,
        1.44048,
        1.49205,
        1.42469,
        1.42945,
        1.52693,
        1.39641,
        1.40233,
        1.5158,
        1.44856,
        1.46997,
        1.49766,
        1.52333,
        1.48631,
        1.47257,
        1.33387,
        1.38457,
        1.33924,
        1.44263,
        1.43015,
        1.3777,
        1.41378,
        1.33638,
        1.36603,
        1.4264,
        1.43514,
        1.43558,
        1.49054,
        1.47464,
        1.40352,
        1.44184,
        1.54624,
        1.41745,
        1.46563,
        1.46561,
        1.49043,
        1.49863,
        1.43992,
        1.44071,
        1.42565,
        1.40477,
        1.45912,
        1.43542,
        1.46185,
        1.41348,
        1.35162,
        1.38341,
        1.39596,
        1.43469,
        1.47786,
        1.38407,
        1.43253,
        1.41583,
        1.47716,
        1.43858,
        1.4556,
        1.45585,
        1.4284,
        1.44105,
        1.3915,
        1.37097,
        1.38596,
        1.41281,
        1.5129,
        1.49633,
        1.33274,
        1.43482,
        1.4842,
        1.42724,
        1.53298,
        1.42597,
        1.40833,
        1.52159,
        1.54626,
        1.37788,
        1.4376,
        1.47698,
        1.39523,
        1.36883,
        1.47226,
        1.44444,
        1.35881,
        1.42133,
        1.4079,
        1.42624,
        1.45417,
        1.36164,
        1.38564,
        1.35283,
        1.41959,
        1.34539,
        1.4037,
        1.38635,
        1.48315,
        1.41457,
        1.408,
        1.35031,
        1.36529,
        1.38066,
        1.2021,
        1.4692,
        1.37959,
        1.38179,
        1.42583,
        1.28311,
        1.26586,
        1.35093,
        1.57789,
        1.62125,
        1.6612,
        1.55332,
        1.45502,
        1.10501,
        1.44472,
        1.49953,
        1.47466,
        1.64685,
        1.49989,
        1.38166,
        1.50565,
        1.515,
        1.43515,
        1.39077,
        1.38758,
        1.4539,
        1.36,
        1.46902,
        1.40249,
        1.40513,
        1.52085,
        1.64936,
        1.48548,
        1.38131,
        1.41121,
        1.41048,
        1.40092,
        1.46158,
        1.4464,
        1.36315,
        1.43438,
        1.40869,
        1.3824,
        1.4492,
        1.42694,
        1.5354,
        1.49138,
        1.47397,
        1.44598,
        1.38953,
        1.43915,
        1.45521,
        1.38632,
        1.44526,
        1.43036,
        1.43827,
        1.47985,
        1.45216,
        1.42432,
        1.43174,
        1.36518,
        1.32107,
        1.34938,
        1.37986,
        1.4001,
        1.34118,
        1.36622,
        1.42249,
        1.43739,
        1.46845,
        1.41757,
        1.45971,
        1.47406,
        1.521,
        1.45609,
        1.4668,
        1.38711,
        1.44614,
        1.4017,
        1.54903,
        1.45721,
        1.45801,
        1.37859,
        1.3914,
        1.43375,
        1.41683,
        1.46444,
        1.45301,
        1.45079,
        1.35922,
        1.51051,
        1.54318,
        1.45666,
        1.49665,
        1.3784,
        1.46446,
        1.42827,
        1.43488,
        1.33563,
        1.46834,
        1.48083,
        1.43254,
        1.45911,
        1.48537,
        1.31751,
        1.44821,
        1.48654,
        1.24815,
        1.40287,
        1.46623,
        1.30895,
        1.28434,
        1.28675,
        1.398,
        1.27493,
        1.24612,
        1.27034,
        1.24736,
        1.24455,
        1.24171,
        1.41482,
        1.23978,
        1.20639,
        1.57796,
        1.15659,
        1.40283,
        1.42079,
        1.30212,
        1.3297,
        1.47124,
        1.369,
        1.51716,
        1.40789,
        1.45134,
        1.2974,
        1.41181,
        1.35306,
        1.17084,
        1.31103,
        1.19423,
        1.25444,
        1.31913,
        1.35702,
        1.37499,
        1.49796,
        1.42846,
        1.31134,
        1.35535,
        1.41449,
        1.42712,
        1.44113,
        1.3995,
        1.46731,
        1.4037,
        1.39512,
        1.43583,
        1.58074,
        1.37544,
        1.42724,
        1.3808,
        1.45631,
        1.33483,
        1.37847,
        1.39814,
        1.45917,
        1.5111,
        1.43034,
        1.44068,
        1.47263,
        1.44379,
        1.44546,
        1.48896,
        1.51627,
        1.40019,
        1.42809,
        1.48147,
        1.43313,
        1.48202,
        1.51153,
        1.4497,
        1.46895,
        1.47117,
        1.49271,
        1.4628,
        1.46436,
        1.43158,
        1.46819,
        1.41802,
        1.48141,
        1.46362,
        1.43957,
        1.48702,
        1.47632,
        1.47424,
        1.45213,
        1.39904,
        1.44076,
        1.424,
        1.46086,
        1.51046,
        1.42885,
        1.40073,
        1.47525,
        1.50324,
        1.4781,
        1.4757,
        1.45376,
        1.47201,
        1.44973,
        1.46034,
        1.48828,
        1.41076,
        1.39456,
        1.40976,
        1.47577,
        1.5238,
        1.47184,
        1.4339,
        1.54183,
        1.50768,
        1.42872,
        1.42649,
        1.38497,
        1.39647,
        1.44905,
        1.47462,
        1.4685,
        1.51133,
        1.48054,
        1.49171,
        1.49754,
        1.46659,
        1.47172,
        1.42622,
        1.415,
        1.43258,
        1.49804,
        1.49951,
        1.49917,
        1.42591,
        1.48013,
        1.49949,
        1.4375,
        1.45215,
        1.47943,
        1.51508,
        1.5187,
        1.55082,
        1.48153,
        1.45518,
        1.5019,
        1.48046,
        1.46796,
        1.48762,
        1.4663,
        1.43246,
        1.49649,
        1.46771,
        1.46233,
        1.44768,
        1.45861,
        1.53513,
        1.48352,
        1.50946,
        1.50906,
        1.48998,
        1.50395,
        1.43826,
        1.54608,
        1.48625,
        1.54197,
        1.52079,
        1.50682,
        1.4802,
        1.47833,
        1.52097,
        1.48466,
        1.48419,
        1.51931,
        1.54223,
        1.46907,
        1.43959,
        1.47503,
        1.58229,
        1.55646,
        1.58293,
        1.52542,
        1.45716,
        1.45366,
        1.42493,
        1.50141,
        1.49402,
        1.48664,
        1.54092,
        1.56935,
        1.56124,
        1.51472,
        1.5491,
        1.55997,
        1.52892,
        1.49738,
        1.51594,
        1.53827,
        1.52393,
        1.52965,
        1.48198,
        1.4577,
        1.46532,
        1.4855,
        1.49046,
        1.55331,
        1.51436,
        1.46993,
        1.47768,
        1.48798,
        1.54557,
        1.52638,
        1.54043,
        1.52535,
        1.50099,
        1.52841,
        1.49733,
        1.462,
        1.47382,
        1.4321,
        1.49955,
        1.47427,
        1.46748,
        1.42294,
        1.48667,
        1.45664,
        1.47918,
        1.50309,
        1.50764,
        1.45095,
        1.52746,
        1.48879,
        1.5049,
        1.44651,
        1.50044,
        1.51103,
        1.47174,
        1.5263,
        1.49403,
        1.43752,
        1.45824,
        1.50507,
        1.50344,
        1.49258,
        1.51181,
        1.55584,
        1.51816,
        1.47096,
        1.49806,
        1.47396,
        1.48797,
        1.49705,
        1.51898,
        1.493,
        1.47041,
        1.45328,
        1.4564,
        1.52716,
        1.51128,
        1.46109,
        1.44275,
        1.48372,
        1.48939,
        1.42454,
        1.46429,
        1.45983,
        1.47849,
        1.4307,
        1.49789,
        1.54537,
        1.47041,
        1.49843,
        1.50309,
        1.46332,
        1.49175,
        1.5261,
        1.47516,
        1.43777,
        1.48831,
        1.46663,
        1.43499,
        1.4794,
        1.46628,
        1.51612,
        1.4454,
        1.44966,
        1.46973,
        1.45981,
        1.43143,
        1.41585,
        1.45265,
        1.45519,
        1.46373,
        1.47864,
        1.45903,
        1.46582,
        1.49558,
        1.49216,
        1.51029,
        1.48407,
        1.49275,
        1.50403,
        1.44933,
        1.45194,
        1.47639,
        1.47127,
        1.45583,
        1.45918,
        1.53231,
        1.49901,
        1.47048,
        1.48226,
        1.47691,
        1.44804,
        1.50211,
        1.49292,
        1.45376,
        1.49119,
        1.45009,
        1.43002,
        1.48767,
        1.48206,
        1.49593,
        1.4635,
        1.47215,
        1.50222,
        1.47877,
        1.46909,
        1.44161,
        1.45277,
        1.54281,
        1.54788,
        1.49342,
        1.51427,
        1.54869,
        1.50846,
        1.48364,
        1.55131,
        1.48534,
        1.46224,
        1.50692,
        1.5053,
        1.4573,
        1.53924,
        1.56924,
        1.51378,
        1.43191,
        1.47327,
        1.50873,
        1.5123,
        1.46776,
        1.42011,
        1.45297,
        1.44951,
        1.44635,
        1.44532,
        1.47405,
        1.47906,
        1.51803,
        1.51945,
        1.53385,
        1.49313,
        1.5055,
        1.49483,
        1.4525,
        1.43422,
        1.50711,
        1.48404,
        1.49675,
        1.46272,
        1.46878,
        1.47771,
        1.45676,
        1.47644,
        1.45254,
        1.48164,
        1.4804,
        1.46323,
        1.46313,
        1.50739,
        1.47336,
        1.46014,
        1.47692,
        1.52824,
        1.52625,
        1.52386,
        1.5385,
        1.48823,
        1.46495,
        1.49415,
        1.47941,
        1.43224,
        1.44728,
        1.53426,
        1.49163,
        1.4765,
        1.4925,
        1.49097,
        1.47746,
        1.52499,
        1.49972,
        1.45218,
        1.42302,
        1.43923,
        1.49413,
        1.49893,
        1.47255,
        1.47672,
        1.49292,
        1.5079,
        1.50009,
        1.55286,
        1.50302,
        1.47312,
        1.43813,
        1.47799,
        1.50275,
        1.48154,
        1.48797,
        1.45108,
        1.42092,
        1.49331,
        1.548,
        1.51375,
        1.48469,
        1.50214,
        1.51595,
        1.49924,
        1.49489,
        1.46675,
        1.51511,
        1.52055,
        1.52482,
        1.49361,
        1.46344,
        1.46168,
        1.48607,
        1.48294,
        1.46662,
        1.48064,
        1.52472,
        1.51156,
        1.4969,
        1.48358,
        1.48091,
        1.43999,
        1.49965,
        1.50477,
        1.50937,
        1.50721,
        1.51606,
        1.52784,
        1.5168,
        1.49842,
        1.45503,
        1.49632,
        1.55704,
        1.53369,
        1.55455,
        1.57879,
        1.48493,
        1.45935,
        1.52238,
        1.50953,
        1.53251,
        1.4807,
        1.47324,
        1.47473,
        1.4845,
        1.50635,
        1.51625,
        1.53223,
        1.48653,
        1.5192,
        1.3678,
        1.53219,
        1.58255,
        1.38989,
        1.38078,
        1.45622,
        1.45975,
        1.47092,
        1.41694,
        1.37272,
        1.40803,
        1.35201,
        1.37727,
        1.39437,
        1.43592,
        1.39493,
        1.43896,
        1.41376,
        1.45913,
        1.46291,
        1.48607,
        1.4999,
        1.48406,
        1.5524,
        1.48951,
        1.42441,
        1.45745,
        1.47578,
        1.52441,
        1.55232,
        1.52777,
        1.55397,
        1.50901,
        1.46135,
        1.46326,
        1.50016,
        1.49359,
        1.54189,
        1.52929,
        1.56672,
        1.50023,
        1.49149,
        1.56325,
        1.58179,
        1.52361,
        1.50953,
        1.54895,
        1.53316,
        1.56375,
        1.54542,
        1.4676,
        1.48443,
        1.49038,
        1.51415,
        1.51828,
        1.52535,
        1.55988,
        1.51196,
        1.54986,
        1.54426,
        1.53328,
        1.57169,
        1.49939,
        1.57977,
        1.55738,
        1.51737,
        1.55306,
        1.54153,
        1.55442,
        1.55002,
        1.56987,
        1.53469,
        1.5521,
        1.56098,
        1.55226,
        1.56836,
        1.54522,
        1.55604,
        1.4986,
        1.56583,
        1.52621,
        1.51535,
        1.55296,
        1.52147,
        1.46293,
        1.5556,
        1.57895,
        1.51791,
        1.50447,
        1.55069,
        1.56846,
        1.57666,
        1.53536,
        1.49844,
        1.49294,
        1.49205,
        1.54532,
        1.4994,
        1.51585,
        1.50579,
        1.5438,
        1.52834,
        1.45666,
        1.52031,
        1.54427,
        1.54989,
        1.5919,
        1.61772,
        1.5837,
        1.52113,
        1.55243,
        1.49103,
        1.51676,
        1.51884,
        1.55099,
        1.55892,
        1.52009,
        1.47045,
        1.54564,
        1.58042,
        1.55638,
        1.56192,
        1.60463,
        1.61363,
        1.55313,
        1.53733,
        1.55196,
        1.5258,
        1.53071,
        1.51877,
        1.45868,
        1.51695,
        1.5233,
        1.55742,
        1.52613,
        1.61712,
        1.51305,
        1.4931,
        1.55144,
        1.48979,
        1.53697,
        1.50301,
        1.49615,
        1.5659,
        1.57588,
        1.47535,
        1.49989,
        1.51975,
        1.5355,
        1.48648,
        1.49439,
        1.59096,
        1.46717,
        1.50019,
        1.58744,
        1.61917,
        1.57505,
        1.60276,
        1.57876,
        1.51614,
        1.49165,
        1.57955,
        1.5031,
        1.5515,
        1.57862,
        1.55805,
        1.52353,
        1.52804,
        1.52977,
        1.51333,
        1.51128,
        1.59866,
        1.59745,
        1.58333,
        1.55066,
        1.5615,
        1.55171,
        1.54705,
        1.58314,
        1.50056,
        1.47795,
        1.46878,
        1.57502,
        1.59209,
        1.60995,
        1.6034,
        1.57352,
        1.55594,
        1.55066,
        1.57184,
        1.55448,
        1.48694,
        1.56132,
        1.54503,
        1.53242,
        1.50026,
        1.49411,
        1.50421,
        1.53341,
        1.55018,
        1.49671,
        1.49474,
        1.49823,
        1.53585,
        1.57476,
        1.53907,
        1.54272,
        1.54157,
        1.53751,
        1.56095,
        1.58784,
        1.58441,
        1.53851,
        1.54405,
        1.5502,
        1.54036,
        1.50019,
        1.50403,
        1.49986,
        1.57268,
        1.52055,
        1.51178,
        1.5006,
        1.52083,
        1.55948,
        1.55908,
        1.50741,
        1.44329,
        1.42356,
        1.56019,
        1.59786,
        1.51975,
        1.5471,
        1.58663,
        1.48092,
        1.45367,
        1.52007,
        1.5624,
        1.4877,
        1.50619,
        1.41432,
        1.40909,
        1.31304,
        1.41087,
        1.43907,
        1.37975,
        1.45565,
        1.43605,
        1.55036,
        1.28809,
        1.74632,
        1.27996,
        1.17822,
        1.41873,
        1.47857,
        1.52028,
        1.69568,
        1.64702,
        1.69347,
        1.61558,
        1.52637,
        1.47489,
        1.52256,
        1.53093,
        1.54279,
        1.5424,
        1.54961,
        1.53283,
        1.54018,
        1.51531,
        1.47398,
        1.54539,
        1.45305,
        1.45181,
        1.49743,
        1.46681,
        1.48652,
        1.61867,
        1.58566,
        1.58288,
        1.53314,
        1.60232,
        1.56009,
        1.57381,
        1.55517,
        1.50929,
        1.59527,
        1.46587,
        1.5104,
        1.51972,
        1.52673,
        1.5637,
        1.56484,
        1.54729,
        1.56036,
        1.51878,
        1.52127,
        1.53337,
        1.45062,
        1.52488,
        1.55365,
        1.53051,
        1.49338,
        1.55197,
        1.4808,
        1.45482,
        1.45316,
        1.50327,
        1.52152,
        1.54747,
        1.49214,
        1.49442,
        1.50395,
        1.51495,
        1.49564,
        1.49717,
        1.58098,
        1.62885,
        1.55353,
        1.47749,
        1.49903,
        1.46887,
        1.45368,
        1.49345,
        1.50089,
        1.55266,
        1.56995,
        1.55227,
        1.51787,
        1.46749,
        1.43604,
        1.4926,
        1.51915,
        1.56014,
        1.54291,
        1.50971,
        1.55365,
        1.49688,
        1.43993,
        1.47108,
        1.55347,
        1.57083,
        1.58543,
        1.51157,
        1.45779,
        1.48764,
        1.48361,
        1.44065,
        1.47755,
        1.54064,
        1.5231,
        1.55509,
        1.61275,
        1.50291,
        1.51436,
        1.5624,
        1.51971,
        1.52363,
        1.49041,
        1.50894,
        1.52276,
        1.53937,
        1.54483,
        1.5349,
        1.47977,
        1.47687,
        1.51158,
        1.47132,
        1.49987,
        1.42837,
        1.45954,
        1.54156,
        1.58498,
        1.58642,
        1.6167,
        1.57586,
        1.52848,
        1.47859,
        1.49789,
        1.52671,
        1.52999,
        1.5516,
        1.5094,
        1.48837,
        1.48785,
        1.49498,
        1.48709,
        1.54207,
        1.59352,
        1.46433,
        1.46406,
        1.57184,
        1.56184,
        1.47108,
        1.53901,
        1.52262,
        1.59791,
        1.54343,
        1.51207,
        1.49482,
        1.47373,
        1.49962,
        1.47566,
        1.53844,
        1.54014,
        1.47616,
        1.53446,
        1.55971,
        1.58034,
        1.53276,
        1.55294,
        1.43595,
        1.50027,
        1.6041,
        1.48028,
        1.50357,
        1.46261,
        1.52358,
        1.55008,
        1.47955,
        1.53483,
        1.53526,
        1.53917,
        1.60292,
        1.58243,
        1.53911,
        1.5816,
        1.51591,
        1.35127,
        1.4773,
        1.54749,
        1.4854,
        1.42452,
        1.46013,
        1.42131,
        1.4218,
        1.4396,
        1.41752,
        1.38876,
        1.49012,
        1.45535,
        1.49838,
        1.40643,
        1.4359,
        1.39949,
        1.45527,
        1.39695,
        1.45857,
        1.45794,
        1.44593,
        1.41875,
        1.36024,
        1.48767,
        1.44647,
        1.41052,
        1.43368,
        1.40289,
        1.48199,
        1.45904,
        1.36636,
        1.39893,
        1.53568,
        1.43254,
        1.40489,
        1.42522,
        1.44078,
        1.48302,
        1.52883,
        1.482,
        1.42621,
        1.53164,
        1.43412,
        1.39075,
        1.40285,
        1.43903,
        1.38249,
        1.53236,
        1.52967,
        1.48615,
        1.4491,
        1.46332,
        1.39146,
        1.41034,
        1.48281,
        1.49244,
        1.49214,
        1.55098,
        1.48205,
        1.34467,
        1.42597,
        1.55558,
        1.42507,
        1.39898,
        1.42518,
        1.47364,
        1.44125,
        1.37836,
        1.48988,
        1.45078,
        1.35894,
        1.33968,
        1.36687,
        1.37581,
        1.43617,
        1.44726,
        1.49314,
        1.4824,
        1.37973,
        1.43646,
        1.48787,
        1.4581,
        1.53042,
        1.6194,
        1.48312,
        1.43724,
        1.3685,
        1.28904,
        1.39608,
        1.462,
        1.445,
        1.50472,
        1.3765,
        1.40177,
        1.59142,
        1.51247,
        1.43,
        1.38109,
        1.51163,
        1.45512,
        1.26214,
        1.31447,
        1.46426,
        1.56167,
        1.49662,
        1.45508,
        1.51865,
        1.44082,
        1.4307,
        1.51509,
        1.37178,
        1.52365,
        1.53401,
        1.51735,
        1.30901,
        1.41338,
        1.4677,
        1.32125,
        1.37088,
        1.37082,
        1.30689,
        1.48411,
        1.32343,
        1.3584,
        1.53431,
        1.38587,
        1.22187,
        1.59075,
        1.62539,
        1.34889,
        1.34149,
        1.32851,
        1.26335,
        1.4175,
        1.44806,
        1.3226,
        1.24478,
        1.43343,
        1.36934,
        1.22383,
        1.47044,
        1.17297,
        1.17641,
        1.16458,
        1.15479,
        1.43634,
        1.33633,
        1.69176,
        1.41107,
        1.34179,
        1.3963,
        1.35928,
        null,
        1.14541,
        1.19518,
        1.30173,
        1.39206,
        1.1866,
        1.19709,
        1.38645,
        1.45546,
        1.23427,
        1.62405,
        1.42697,
        1.31837,
        1.33691,
        1.37103,
        1.33309,
        1.35991,
        1.25055,
        1.31034,
        1.54684,
        1.37316,
        1.41311,
        1.41027,
        1.23303,
        1.29769,
        1.34468,
        1.47412,
        1.45626,
        1.31124,
        1.3231,
        1.45832,
        1.61289,
        1.5679,
        1.57612,
        1.30592,
        1.43359,
        1.41694,
        1.44035,
        1.45097,
        1.44732,
        1.37656,
        1.45525,
        1.48501,
        1.32735,
        1.40611,
        1.36063,
        1.46287,
        1.50903,
        1.50295,
        1.45317,
        1.30792,
        1.32719,
        1.36468,
        1.33854,
        1.49636,
        1.48062,
        1.40224,
        1.49695,
        1.27219,
        1.36769,
        1.50077,
        1.38889,
        1.50261,
        1.36245,
        1.33817,
        1.39551,
        1.3616,
        1.38471,
        1.36196,
        1.24264,
        1.29856,
        1.47253,
        1.46363,
        1.49309,
        1.33099,
        1.39386,
        1.40982,
        1.4047,
        1.39768,
        1.37452,
        1.26513,
        1.38553,
        1.47197,
        1.35439,
        1.33378,
        1.3943,
        1.36061,
        1.40714,
        1.49643,
        1.46591,
        1.54655,
        1.49219,
        1.43524,
        1.53206,
        1.52032,
        1.50651,
        1.42248,
        1.43674,
        1.44003,
        1.5547,
        1.56061,
        1.40164,
        1.37335,
        1.5011,
        1.48666,
        1.48242,
        1.44166,
        1.41996,
        1.43572,
        1.42494,
        1.51689,
        1.4976,
        1.46749,
        1.53063,
        1.47404,
        1.42507,
        1.3588,
        1.42961,
        1.48005,
        1.54674,
        1.41192,
        1.38444,
        1.51359,
        1.45984,
        1.46634,
        1.34229,
        1.34018,
        1.52719,
        1.49256,
        1.41103,
        1.37944,
        1.21642,
        1.29472,
        1.40309,
        1.37356,
        1.44727,
        1.42577,
        1.26727,
        1.44762,
        1.47073,
        1.43429,
        1.38946,
        1.34629,
        1.37907,
        1.47778,
        1.49734,
        1.48401,
        1.44198,
        1.49769,
        1.46879,
        1.42721,
        1.48331,
        1.48413,
        1.44679,
        1.45661,
        1.35771,
        1.44214,
        1.3514,
        1.4734,
        1.44474,
        1.49813,
        1.51009,
        1.49968,
        1.48577,
        1.37875,
        1.48927,
        1.4446,
        1.45781,
        1.47429,
        1.42884,
        1.41034,
        1.4156,
        1.43756,
        1.42515,
        1.4464,
        1.40267,
        1.51539,
        1.50887,
        1.40058,
        1.40365,
        1.40387,
        1.42513,
        1.36315,
        1.3654,
        1.41435,
        1.50062,
        1.45435,
        1.36189,
        1.43586,
        1.50534,
        1.45189,
        1.46446,
        1.37447,
        1.44154,
        1.46959,
        1.45796,
        1.51303,
        1.4532,
        1.49743,
        1.48372,
        1.4643,
        1.42617,
        1.48959,
        1.44474,
        1.45717,
        1.4932,
        1.44863,
        1.47178,
        1.50573,
        1.41207,
        1.48431,
        1.44798,
        1.42723,
        1.42056,
        1.50861,
        1.45065,
        1.383,
        1.46744,
        1.52591,
        1.54185,
        1.47038,
        1.3868,
        1.48367,
        1.59076,
        1.49128,
        1.50894,
        1.48654,
        1.43325,
        1.40612,
        1.50222,
        1.49248,
        1.50218,
        1.44081,
        1.40872,
        1.41368,
        1.46533,
        1.42055,
        1.48568,
        1.48888,
        1.42451,
        1.40446,
        1.44621,
        1.46073,
        1.57688,
        1.53284,
        1.41865,
        1.4888,
        1.38224,
        1.39059,
        1.42258,
        1.35264,
        1.29143,
        1.43615,
        1.48515,
        1.47476,
        1.44223,
        1.44563,
        1.45788,
        1.38234,
        1.45798,
        1.40356,
        1.37231,
        1.3439,
        1.4456,
        1.42988,
        1.58013,
        1.49615,
        1.52514,
        1.65813,
        1.38667,
        1.41535,
        1.50404,
        1.6187,
        1.39076,
        1.44891,
        1.38353,
        1.40551,
        1.39518,
        1.48084,
        1.42472,
        1.42968,
        1.43733,
        1.54819,
        1.59251,
        1.47906,
        1.45794,
        1.48154,
        1.44837,
        1.51612,
        1.46036,
        1.43239,
        1.52611,
        1.51383,
        1.44372,
        1.43017,
        1.37689,
        1.44616,
        1.45205,
        1.5349,
        1.54758,
        1.44478,
        1.48357,
        1.50833,
        1.47796,
        1.51689,
        1.464,
        1.46484,
        1.4382,
        1.41329,
        1.47554,
        1.57686,
        1.40864,
        1.37538,
        1.49459,
        1.53441,
        1.47958,
        1.47538,
        1.45849,
        1.40833,
        1.48468,
        1.40685,
        1.41108,
        1.46743,
        1.44248,
        1.38382,
        1.45907,
        1.46,
        1.41919,
        1.44324,
        1.46706,
        1.42631,
        1.50267,
        1.43949,
        1.4373,
        1.48017,
        1.42968,
        1.40617,
        1.45445,
        1.4891,
        1.36758,
        1.46792,
        1.49734,
        1.40031,
        1.46214,
        1.45979,
        1.42544,
        1.40523,
        1.42022,
        1.42554,
        1.43448,
        1.42785,
        1.43981,
        1.49072,
        1.48465,
        1.49103,
        1.47341,
        1.48395,
        1.51428,
        1.50561,
        1.40636,
        1.43219,
        1.47168,
        1.44905,
        1.44038,
        1.44964,
        1.47957,
        1.4773,
        1.41098,
        1.4664,
        1.49169,
        1.49495,
        1.46374,
        1.46819,
        1.5088,
        1.49991,
        1.51783,
        1.52627,
        1.44682,
        1.43468,
        1.39318,
        1.46349,
        1.43742,
        1.44435,
        1.47614,
        1.46635,
        1.45886,
        1.49083,
        1.51701,
        1.45775,
        1.47993,
        1.41525,
        1.43915,
        1.49242,
        1.50474,
        1.50059,
        1.45886,
        1.47353,
        1.48907,
        1.45397,
        1.49313,
        1.54823,
        1.4817,
        1.45263,
        1.37659,
        1.48308,
        1.37385,
        1.44569,
        1.29746,
        1.47981,
        1.68358,
        1.51976,
        1.53821,
        1.53541,
        1.48196,
        1.44963,
        1.51799,
        1.5497,
        1.51991,
        1.51947,
        1.47445,
        1.46914,
        1.48209,
        1.4879,
        1.43238,
        1.40812,
        1.46049,
        1.50924,
        1.39022,
        1.39262,
        1.44348,
        1.52198,
        1.48459,
        1.48573,
        1.47808,
        1.52044,
        1.41457,
        1.51157,
        1.50494,
        1.47891,
        1.48845,
        1.45448,
        1.4485,
        1.44901,
        1.45801,
        1.48511,
        1.39223,
        1.39231,
        1.4568,
        1.45368,
        1.49176,
        1.44274,
        1.48036,
        1.49839,
        1.47041,
        1.4686,
        1.45363,
        1.45791,
        1.42618,
        1.46199,
        1.46362,
        1.41961,
        1.44655,
        1.46875,
        1.42743,
        1.4846,
        1.48113,
        1.43769,
        1.44887,
        1.41435,
        1.47189,
        1.48219,
        1.45857,
        1.42336,
        1.5138,
        1.47465,
        1.44857,
        1.49232,
        1.42201,
        1.39596,
        1.44139,
        1.38079,
        1.53285,
        1.46475,
        1.38123,
        1.46087,
        1.43595,
        1.44694,
        1.49583,
        1.53002,
        1.47288,
        1.37653,
        1.40367,
        1.42956,
        1.48626,
        1.335,
        1.27416,
        1.32221,
        1.26626,
        1.45453,
        1.37484,
        1.4162,
        1.38567,
        1.39296,
        1.40397,
        1.5688,
        1.46424,
        1.56147,
        1.42905,
        1.31184,
        1.48132,
        1.48371,
        1.44831,
        1.50273,
        1.46022,
        1.52851,
        1.48681,
        1.39224,
        1.39773,
        1.39047,
        1.4369,
        1.40196,
        1.40643,
        1.42858,
        1.33407,
        1.36721,
        1.39529,
        1.44811,
        1.52069,
        1.47982,
        1.45081,
        1.44786,
        1.42506,
        1.41893,
        1.46018,
        1.44336,
        1.41291,
        1.42585,
        1.45658,
        1.48215,
        1.5136,
        1.45487,
        1.43668,
        1.40525,
        1.51808,
        1.51334,
        1.43223,
        1.46634,
        1.46238,
        1.48781,
        1.42115,
        1.44026,
        1.4403,
        1.4364,
        1.39212,
        1.4939,
        1.45903,
        1.47851,
        1.49788,
        1.47337,
        1.46063,
        1.41638,
        1.41614,
        1.44522,
        1.40883,
        1.46358,
        1.42422,
        1.42791,
        1.51528,
        1.51744,
        1.47285,
        1.47322,
        1.46552,
        1.41097,
        1.39778,
        1.42406,
        1.48798,
        1.49875,
        1.48457,
        1.45362,
        1.44227,
        1.42207,
        1.43105,
        1.45944,
        1.48497,
        1.45426,
        1.46522,
        1.40777,
        1.50547,
        1.40569,
        1.44026,
        1.44892,
        1.445,
        1.56202,
        1.52434,
        1.41562,
        1.4403,
        1.50412,
        1.52797,
        1.4382,
        1.41878,
        1.42508,
        1.52051,
        1.38541,
        1.36922,
        1.35548,
        1.464,
        1.42502,
        1.45904,
        1.46497,
        1.38149,
        1.36933,
        1.45124,
        1.46856,
        1.44964,
        1.47583,
        1.46923,
        1.4146,
        1.42976,
        1.48478,
        1.45293,
        1.47554,
        1.47606,
        1.44432,
        1.46951,
        1.48731,
        1.43053,
        1.4679,
        1.42137,
        1.46003,
        1.44755,
        1.39432,
        1.44902,
        1.47812,
        1.53288,
        1.49871,
        1.46879,
        1.41509,
        1.46769,
        1.44737,
        1.45795,
        1.46401,
        1.47492,
        1.47889,
        1.5099,
        1.51001,
        1.4506,
        1.4926,
        1.43165,
        1.50366,
        1.47344,
        1.45861,
        1.48034,
        1.48401,
        1.47971,
        1.43184,
        1.42081,
        1.44846,
        1.43279,
        1.41609,
        1.44425,
        1.47818,
        1.43449,
        1.47178,
        1.46397,
        1.38303,
        1.38012,
        1.40445,
        1.47013,
        1.53495,
        1.46722,
        1.49801,
        1.51645,
        1.51639,
        1.39762,
        1.47733,
        1.44691,
        1.45177,
        1.41565,
        1.47607,
        1.48854,
        1.4484,
        1.48287,
        1.4458,
        1.40607,
        1.52853,
        1.51878,
        1.40846,
        1.45381,
        1.47239,
        1.45539,
        1.45401,
        1.4766,
        1.42271,
        1.42533,
        1.42927,
        1.40909,
        1.49762,
        1.42661,
        1.48953,
        1.45834,
        1.47725,
        1.49251,
        1.46113,
        1.44404,
        1.47138,
        1.47938,
        1.48247,
        1.41769,
        1.38543,
        1.39994,
        1.46288,
        1.49735,
        1.44803,
        1.43291,
        1.45206,
        1.47477,
        1.41087,
        1.42961,
        1.46834,
        1.52474,
        1.46674,
        1.46093,
        1.40724,
        1.45305,
        1.43369,
        1.41994,
        1.43982,
        1.52043,
        1.42384,
        1.43706,
        1.41838,
        1.50501,
        1.45007,
        1.46079,
        1.50363,
        1.41665,
        1.4154,
        1.42792,
        1.38411,
        1.45771,
        1.49154,
        1.51154,
        1.46263,
        1.44288,
        1.41866,
        1.49837,
        1.50317,
        1.4715,
        1.46374,
        1.45429,
        1.39239,
        1.44804,
        1.46081,
        1.45524,
        1.49139,
        1.36947,
        1.43887,
        1.44989,
        1.46988,
        1.44918,
        1.41478,
        1.39482,
        1.39977,
        1.37857,
        1.41742,
        1.40704,
        1.42633,
        1.4459,
        1.49061,
        1.47842,
        1.41109,
        1.49123,
        1.45155,
        1.45564,
        1.48028,
        1.48275,
        1.45863,
        1.43393,
        1.42697,
        1.40603,
        1.413,
        1.40634,
        1.42454,
        1.43839,
        1.41027,
        1.42179,
        1.42455,
        1.42788,
        1.45772,
        1.4531,
        1.44716,
        1.51865,
        1.43017,
        1.59411,
        1.47785,
        1.48736,
        1.42038,
        1.50778,
        1.51615,
        1.50347,
        1.45574,
        1.36551,
        1.37853,
        1.4278,
        1.48969,
        1.45732,
        1.45951,
        1.49607,
        1.48499,
        1.44514,
        1.44529,
        1.45658,
        1.49373,
        1.44922,
        1.47742,
        1.44077,
        1.50886,
        1.46179,
        1.43809,
        1.50431,
        1.55684,
        1.46671,
        1.4696,
        1.469,
        1.54592,
        1.44585,
        1.42,
        1.43865,
        1.41325,
        1.37646,
        1.49201,
        1.46195,
        1.33957,
        1.47083,
        1.46956,
        1.52705,
        1.46881,
        1.48357,
        1.46072,
        1.44193,
        1.45123,
        1.51666,
        1.49113,
        1.41629,
        1.50954,
        1.44338,
        1.41541,
        1.36009,
        1.52238,
        1.5705,
        1.4063,
        1.4951,
        1.44902,
        1.44405,
        1.44794,
        1.48377,
        1.5927,
        1.54793,
        1.48485,
        1.50589,
        1.50225,
        1.40818,
        1.4088,
        1.44202,
        1.37185,
        1.45134,
        1.49188,
        1.47927,
        1.45668,
        1.46851,
        1.496,
        1.46173,
        1.54564,
        1.54462,
        1.37559,
        1.29552,
        1.41917,
        1.44901,
        1.46849,
        1.45892,
        1.42671,
        1.42503,
        1.4705,
        1.54149,
        1.50278,
        1.53657,
        1.54128,
        1.55071,
        1.51768,
        1.42918,
        1.44534,
        1.42943,
        1.40165,
        1.46772,
        1.46628,
        1.53985,
        1.52173,
        1.55605,
        1.46308,
        1.45826,
        1.56332,
        1.49906,
        1.46565,
        1.43792,
        1.45198,
        1.45832,
        1.53204,
        1.41835,
        1.3789,
        1.43256,
        1.47105,
        1.39157,
        1.48111,
        1.54142,
        1.44208,
        1.51978,
        1.49301,
        1.55698,
        1.57156,
        1.34436,
        1.52569,
        1.4105,
        1.4143,
        1.31692,
        1.45787,
        1.46327,
        1.38387,
        1.40719,
        1.43568,
        1.39056,
        1.46358,
        1.47217,
        1.46158,
        1.40868,
        1.51514,
        1.56896,
        1.45108,
        1.41652,
        1.48706,
        1.51564,
        1.38629,
        1.59276,
        1.50177,
        1.43838,
        1.351,
        1.47784,
        1.51655,
        1.53096,
        1.5263,
        1.5084,
        1.49842,
        1.48009,
        1.53198,
        1.45125,
        1.45676,
        1.48135,
        1.38488,
        1.40221,
        1.40014,
        1.17821,
        1.59127,
        1.61084,
        1.65659,
        1.49781,
        1.36267,
        1.33397,
        1.53199,
        1.522,
        1.50291,
        1.47726,
        1.56467,
        1.38101,
        1.48196,
        1.31689,
        1.38877,
        1.51873,
        1.52565,
        1.41657,
        1.28376,
        1.47391,
        1.54334,
        1.30447,
        1.29872,
        1.101,
        1.39983,
        1.64238,
        1.52097,
        1.6668,
        1.59513,
        1.753,
        1.94568,
        1.3665,
        1.3967,
        1.29903,
        1.79373,
        1.98051,
        1.97499,
        2.03975,
        1.39859,
        1.66737,
        1.4004,
        1.5601,
        1.43257,
        1.39283,
        1.57473,
        1.53662,
        1.36927,
        1.35574,
        1.52732,
        1.49431,
        1.32039,
        1.20727,
        1.47807,
        1.51994,
        1.44943,
        1.56338,
        1.4285,
        1.40618,
        1.41913,
        1.44534,
        1.48016,
        1.46111,
        1.503,
        1.4525,
        1.5221,
        1.48964,
        1.4979,
        1.51846,
        1.53661,
        1.43557,
        1.46272,
        1.45916,
        1.49371,
        1.4649,
        1.54031,
        1.45251,
        1.41032,
        1.44274,
        1.44716,
        1.4558,
        1.46175,
        1.39966,
        1.35558,
        1.34571,
        1.20279,
        1.5113,
        1.72083,
        1.54068,
        1.19238,
        1.19547,
        1.30913,
        1.41008,
        1.43932,
        1.47887,
        1.43906,
        1.45849,
        1.34561,
        1.33988,
        1.44346,
        1.45077,
        1.43228,
        1.4113,
        1.50172,
        1.47555,
        1.51075,
        1.35578,
        1.40586,
        1.47929,
        1.4082,
        1.47547,
        1.54283,
        1.49149,
        1.46849,
        1.38811,
        1.4377,
        1.46118,
        1.41692,
        1.42516,
        1.47443,
        1.45055,
        1.49348,
        1.45149,
        1.46651,
        1.38444,
        1.41736,
        1.44198,
        1.39594,
        1.51418,
        1.47398,
        1.516,
        1.49356,
        1.43117,
        1.4839,
        1.44879,
        1.42355,
        1.48025,
        1.43441,
        1.42366,
        1.54648,
        1.48377,
        1.44406,
        1.47172,
        1.50099,
        1.45378,
        1.45225,
        1.48687,
        1.45152,
        1.49167,
        1.43669,
        1.45677,
        1.46019,
        1.38378,
        1.455,
        1.43125,
        1.45797,
        1.49539,
        1.48174,
        1.47582,
        1.46197,
        1.42788,
        1.44434,
        1.41481,
        1.39811,
        1.39182,
        1.40462,
        1.49881,
        1.48743,
        1.44269,
        1.4968,
        1.47217,
        1.52621,
        1.45514,
        1.45295,
        1.44108,
        1.4796,
        1.40975,
        1.45122,
        1.44478,
        1.4382,
        1.41117,
        1.51561,
        1.47168,
        1.43654,
        1.439,
        1.46812,
        1.40113,
        1.48678,
        1.52962,
        1.51104,
        1.45898,
        1.45464,
        1.49546,
        1.493,
        1.4925,
        1.36586,
        1.40169,
        1.43786,
        1.50254,
        1.47724,
        1.43115,
        1.4552,
        1.42125,
        1.42861,
        1.4143,
        1.51455,
        1.44147,
        1.48693,
        1.46581,
        1.48406,
        1.47193,
        1.42683,
        1.44399,
        1.48944,
        1.43114,
        1.44354,
        1.47073,
        1.42956,
        1.48796,
        1.56293,
        1.46605,
        1.40987,
        1.44104,
        1.43496,
        1.406,
        1.43275,
        1.5095,
        1.4084,
        1.42668,
        1.4905,
        1.47923,
        1.47574,
        1.46363,
        1.51308,
        1.47146,
        1.46798,
        1.39834,
        1.43392,
        1.47182,
        1.45442,
        1.40321,
        1.40091,
        1.41868,
        1.44989,
        1.42391,
        1.42433,
        1.4205,
        1.41833,
        1.42194,
        1.50581,
        1.50965,
        1.42337,
        1.42108,
        1.49113,
        1.53818,
        1.54506,
        1.40491,
        1.40626,
        1.42786,
        1.43086,
        1.49354,
        1.38855,
        1.33437,
        1.40907,
        1.40354,
        1.39719,
        1.36619,
        1.40853,
        1.40243,
        1.39319,
        1.3941,
        1.41257,
        1.41075,
        1.43323,
        1.46023,
        1.47971,
        1.40884,
        1.37579,
        1.37341,
        1.43179,
        1.5469,
        1.41347,
        1.37089,
        1.43254,
        1.51148,
        1.473,
        1.48353,
        1.41693,
        1.42483,
        1.47799,
        1.45211,
        1.46775,
        1.47763,
        1.483,
        1.40493,
        1.40621,
        1.40022,
        1.4913,
        1.53176,
        1.51354,
        1.51569,
        1.50071,
        1.47509,
        1.46227,
        1.51806,
        1.53031,
        1.44727,
        1.40715,
        1.46337,
        1.5016,
        1.43016,
        1.52109,
        1.50302,
        1.49989,
        1.50145,
        1.46574,
        1.43006,
        1.37661,
        1.35917,
        1.45403,
        1.453,
        1.42196,
        1.43496,
        1.34896,
        1.4448,
        1.48172,
        1.42771,
        1.40874,
        1.48643,
        1.49523,
        1.55552,
        1.4347,
        1.41376,
        1.41307,
        1.43532,
        1.42333,
        1.39759,
        1.38134,
        1.42036,
        1.46402,
        1.46259,
        1.4978,
        1.44157,
        1.46643,
        1.4771,
        1.45632,
        1.4054,
        1.45334,
        1.43054,
        1.42151,
        1.42435,
        1.40197,
        1.41461,
        1.47166,
        1.42474,
        1.45405,
        1.34943,
        1.39008,
        1.46692,
        1.44554,
        1.47566,
        1.41459,
        1.46752,
        1.48494,
        1.47517,
        1.45134,
        1.45365,
        1.42666,
        1.46982,
        1.47763,
        1.48305,
        1.48719,
        1.45026,
        1.46549,
        1.4503,
        1.48989,
        1.44261,
        1.45639,
        1.48138,
        1.44596,
        1.44204,
        1.47173,
        1.52357,
        1.49316,
        1.50606,
        1.46154,
        1.50597,
        1.48718,
        1.43736,
        1.52174,
        1.49827,
        1.51758,
        1.45772,
        1.46672,
        1.4588,
        1.43285,
        1.44776,
        1.45441,
        1.40334,
        1.449,
        1.45267,
        1.43964,
        1.40913,
        1.48434,
        1.49453,
        1.45961,
        1.47062,
        1.49094,
        1.44984,
        1.47152,
        1.45356,
        1.4302,
        1.50006,
        1.4471,
        1.46232,
        1.33573,
        1.42515,
        1.52027,
        1.4123,
        1.46022,
        1.50815,
        1.53691,
        1.4972,
        1.48837,
        1.44767,
        1.42763,
        1.4782,
        1.4393,
        1.4045,
        1.40755,
        1.4135,
        1.43333,
        1.45893,
        1.48095,
        1.46247,
        1.47186,
        1.48882,
        1.44239,
        1.52057,
        1.44154,
        1.41911,
        1.42159,
        1.51865,
        1.47892,
        1.51978,
        1.50819,
        1.53675,
        1.5243,
        1.45737,
        1.43485,
        1.46967,
        1.45061,
        1.42191,
        1.39889,
        1.45426,
        1.50055,
        1.52929,
        1.39721,
        1.41753,
        1.38415,
        1.37059,
        1.4559,
        1.51538,
        1.40401,
        1.42712,
        1.43237,
        1.49531,
        1.49407,
        1.50839,
        1.46711,
        1.40996,
        1.39789,
        1.45044,
        1.43399,
        1.44521,
        1.45534,
        1.51657,
        1.50632,
        1.51133,
        1.53524,
        1.46869,
        1.43404,
        1.46837,
        1.46777,
        1.40893,
        1.49272,
        1.4595,
        1.495,
        1.37791,
        1.37405,
        1.40666,
        1.41872,
        1.38113,
        1.42236,
        1.45991,
        1.40959,
        1.42235,
        1.43193,
        1.43984,
        1.41464,
        1.45764,
        1.45259,
        1.45246,
        1.50235,
        1.52706,
        1.53845,
        1.38988,
        1.46901,
        1.58209,
        1.51637,
        1.53043,
        1.47233,
        1.36825,
        1.43838,
        1.37754,
        1.37669,
        1.40829,
        1.46023,
        1.46566,
        1.45644,
        1.363,
        1.45858,
        1.49416,
        1.46857,
        1.49374,
        1.45054,
        1.44641,
        1.52872,
        1.44546,
        1.40334,
        1.42526,
        1.42766,
        1.34183,
        1.45942,
        1.51547,
        1.45251,
        1.4566,
        1.43711,
        1.44858,
        1.52394,
        1.48293,
        1.41776,
        1.48722,
        1.44556,
        1.42194,
        1.49965,
        1.40041,
        1.40684,
        1.39993,
        1.38356,
        1.36638,
        1.42186,
        1.47654,
        1.4468,
        1.37485,
        1.53797,
        1.4726,
        1.45052,
        1.42005,
        1.46434,
        1.47765,
        1.37229,
        1.46027,
        1.4433,
        1.48615,
        1.43417,
        1.4978,
        1.46807,
        1.44063,
        1.47231,
        1.54198,
        1.47942,
        1.46546,
        1.45152,
        1.45151,
        1.49628,
        1.46157,
        1.45761,
        1.46845,
        1.45749,
        1.44168,
        1.48529,
        1.43845,
        1.4163,
        1.45096,
        1.42983,
        1.45024,
        1.4501,
        1.42932,
        1.4475,
        1.49654,
        1.53641,
        1.41849,
        1.37703,
        1.42512,
        1.41439,
        1.42314,
        1.47133,
        1.48688,
        1.47314,
        1.48009,
        1.52508,
        1.43659,
        1.42124,
        1.43272,
        1.56706,
        1.55773,
        1.48188,
        1.44414,
        1.42225,
        1.42725,
        1.4226,
        1.3712,
        1.47434,
        1.45123,
        1.43953,
        1.42595,
        1.48462,
        1.52218,
        1.45528,
        1.50426,
        1.51585,
        1.44516,
        1.45928,
        1.44077,
        1.43501,
        1.36125,
        1.32821,
        1.48788,
        1.50895,
        1.46532,
        1.39871,
        1.45877,
        1.42325,
        1.3976,
        1.41564,
        1.38332,
        1.37126,
        1.37421,
        1.44887,
        1.50097,
        1.49526,
        1.42069,
        1.45129,
        1.52799,
        1.50441,
        1.37461,
        1.38381,
        1.39688,
        1.40566,
        1.25861,
        1.45734,
        1.28518,
        1.32101,
        1.1734,
        1.30213,
        1.21971,
        1.22631,
        1.279,
        1.49615,
        1.51712,
        1.48595,
        1.48191,
        1.44384,
        1.3752,
        1.38104,
        1.40823,
        1.45152,
        1.38622,
        1.46767,
        1.38804,
        1.39218,
        1.46208,
        1.42529,
        1.43962,
        1.4973,
        1.42926,
        1.46157,
        1.43191,
        1.33225,
        1.49051,
        1.39617,
        1.47118,
        1.46709,
        1.46346,
        1.46044,
        1.45929,
        1.52401,
        1.4089,
        1.45688,
        1.48256,
        1.49734,
        1.51801,
        1.45857,
        1.52277,
        1.5138,
        1.44262,
        1.43562,
        1.40799,
        1.51678,
        1.4484,
        1.49413,
        1.49806,
        1.4899,
        1.44106,
        1.45286,
        1.45007,
        1.45496,
        1.51186,
        1.57046,
        1.68902,
        1.52076,
        1.41902,
        1.507,
        1.44281,
        1.50567,
        1.46703,
        1.49375,
        1.44866,
        1.45046,
        1.42718,
        1.46596,
        1.53251,
        1.42928,
        1.44988,
        1.50184,
        1.4236,
        1.46075,
        1.48985,
        1.53614,
        1.41117,
        1.42292,
        1.48444,
        1.44822,
        1.32019,
        1.4645,
        1.44799,
        1.49184,
        1.48507,
        1.46097,
        1.44858,
        1.36858,
        1.44225,
        1.44685,
        1.48442,
        1.45786,
        1.46544,
        1.32023,
        1.38287,
        1.48984,
        1.48166,
        1.3591,
        1.53836,
        1.37543,
        1.45827,
        1.43439,
        1.53449,
        1.55063,
        1.43344,
        1.33405,
        1.51871,
        1.56123,
        1.42602,
        1.41684,
        1.36781,
        1.44441,
        1.40789,
        1.41733,
        1.42149,
        1.41444,
        1.42844,
        1.4102,
        1.40415,
        1.38354,
        1.44573,
        1.45375,
        1.35631,
        1.40543,
        1.39351,
        1.44282,
        1.46233,
        1.43904,
        1.35957,
        1.33709,
        1.39107,
        1.41101,
        1.33171,
        1.36246,
        1.37979,
        1.49008,
        1.57742,
        1.33216,
        1.4691,
        1.40791,
        null,
        2.08141,
        1.54823,
        1.32603,
        1.48185,
        1.47326,
        1.84141,
        2.15457,
        1.57372,
        1.54187,
        1.72764,
        1.61994,
        1.59204,
        1.63302,
        1.72502,
        1.46367,
        1.92308,
        1.45353,
        1.53579,
        1.68172,
        1.53091,
        1.41186,
        1.26173,
        1.5062,
        1.76662,
        1.66591,
        1.58956,
        1.5108,
        1.42813,
        1.50687,
        1.52251,
        1.58909,
        1.68242,
        1.54996,
        1.43894,
        1.5184,
        1.60768,
        1.33461,
        1.47728,
        1.51178,
        1.55399,
        1.70083,
        1.60571,
        1.54897,
        1.49416,
        1.55648,
        1.55007,
        1.40412,
        1.6723,
        1.55001,
        1.42068,
        1.45999,
        1.4991,
        1.52142,
        1.69044,
        1.37353,
        1.53519,
        1.4228,
        1.37249,
        1.63105,
        1.7099,
        1.60687,
        1.63384,
        1.70862,
        1.42997,
        1.54158,
        1.50076,
        1.38646,
        1.61261,
        1.59086,
        1.59912,
        1.80536,
        1.62072,
        1.638,
        1.51091,
        1.60521,
        1.61487,
        1.60654,
        1.64462,
        1.65161,
        1.47496,
        1.5243,
        1.55559,
        1.52894,
        1.61355,
        1.59366,
        1.50398,
        1.69166,
        1.51831,
        1.48161,
        1.59518,
        1.37176,
        1.72694,
        1.55078,
        1.5218,
        1.34027,
        1.63607,
        1.67208,
        1.63266,
        1.55161,
        1.42565,
        1.54034,
        1.48713,
        1.61048,
        1.44458,
        1.4697,
        1.55479,
        1.51872,
        1.58884,
        1.56387,
        1.5432,
        1.42617,
        1.56483,
        1.58623,
        1.65763,
        1.66593,
        1.57753,
        1.77375,
        1.40562,
        1.37374,
        1.5602,
        1.48463,
        1.65939,
        1.64774,
        1.40711,
        1.48195,
        1.46934,
        1.5453,
        1.70906,
        1.67503,
        1.77007,
        1.61393,
        1.55385,
        1.62506,
        1.61467,
        1.64258,
        1.7824,
        1.74221,
        1.60696,
        1.65522,
        1.53573,
        1.53516,
        1.64398,
        1.53539,
        1.45512,
        1.52812,
        1.56342,
        1.48184,
        1.65479,
        1.56785,
        1.57947,
        1.67335,
        1.53526,
        1.62877,
        1.59166,
        1.54207,
        1.60913,
        1.58209,
        1.53877,
        1.67461,
        1.66822,
        1.65301,
        1.49305,
        1.49281,
        1.67908,
        1.55396,
        1.48812,
        1.56926,
        1.50103,
        1.39252,
        1.55862,
        1.50454,
        1.4364,
        1.28397,
        1.43673,
        1.52559,
        1.51291,
        1.55614,
        1.45855,
        1.38094,
        1.4587,
        1.65958,
        1.40422,
        1.76715,
        1.71632,
        1.57531,
        1.54568,
        1.5081,
        1.48544,
        1.60223,
        1.45975,
        1.28324,
        1.29991,
        1.65698,
        1.59167,
        1.43341,
        1.4705,
        1.39594,
        1.40004,
        1.47256,
        1.54453,
        1.59487,
        1.60618,
        1.63887,
        1.54321,
        1.45351,
        1.62749,
        1.72713,
        1.61328,
        1.53227,
        1.46644,
        1.40191,
        1.60652,
        1.41912,
        1.46467,
        1.52174,
        1.57786,
        1.39368,
        1.4714,
        1.6714,
        1.37839,
        1.40393,
        1.5783,
        1.73381,
        1.56559,
        1.45235,
        1.39516,
        1.32635,
        1.63799,
        1.57479,
        1.65428,
        1.27709,
        1.60747,
        1.36658,
        1.40139,
        1.32806,
        1.48731,
        1.32771,
        1.573,
        1.51285,
        1.67444,
        1.57616,
        1.57243,
        1.59466,
        1.5491,
        1.40526,
        1.8595,
        1.60804,
        1.42933,
        1.23892,
        1.60734,
        1.00052,
        1.26781,
        1.32222,
        1.57847,
        1.37245,
        1.61234,
        1.70328,
        1.39919,
        1.44596,
        1.41679,
        1.82834,
        1.60729,
        1.44202,
        1.45569,
        1.47694,
        1.29514,
        1.48077,
        1.30392,
        1.37586,
        1.5421,
        1.55856,
        1.69043,
        1.63803,
        1.44795,
        1.37895,
        1.34982,
        1.32477,
        1.31941,
        1.50682,
        1.67799,
        1.71304,
        1.51468,
        1.54977,
        2.0481,
        1.51082,
        1.48821,
        1.73022,
        1.85002,
        1.82562,
        1.72778,
        1.65239,
        null,
        1.73385,
        1.60928,
        1.5496,
        1.74519,
        1.61162,
        1.59123,
        1.39167,
        1.72574,
        1.98715,
        1.58406,
        1.57487,
        1.46445,
        1.47984,
        1.48989,
        1.65984,
        1.57354,
        1.19466,
        1.25365,
        1.54026,
        1.53773,
        1.50743,
        1.61606,
        1.53006,
        1.56026,
        1.59562,
        1.71068,
        1.29284,
        1.41887,
        1.54109,
        1.66246,
        1.6176,
        1.511,
        1.55872,
        1.422,
        1.65933,
        1.47703,
        1.58294,
        1.63042,
        1.56422,
        1.48609,
        1.67413,
        1.87053,
        1.31021,
        1.31688,
        1.44435,
        1.57533,
        1.63206,
        1.30368,
        1.58018,
        1.47214,
        1.38849,
        1.52717,
        1.56152,
        1.60297,
        1.57572,
        1.49843,
        1.3675,
        1.41625,
        1.50077,
        1.61191,
        1.70952,
        1.51461,
        1.45988,
        1.67032,
        1.43982,
        1.50979,
        1.47356,
        1.54665,
        1.60809,
        1.44138,
        1.47903,
        1.65666,
        1.49537,
        1.62409,
        1.52153,
        1.49992,
        1.53592,
        1.59271,
        1.69122,
        1.62302,
        1.54591,
        1.3473,
        1.5974,
        1.54326,
        1.63733,
        1.57222,
        1.4831,
        1.67145,
        1.56423,
        1.67986,
        1.62827,
        1.63397,
        1.55193,
        1.47956,
        1.50514,
        1.58709,
        1.61926,
        1.66208,
        1.49829,
        1.60723,
        1.50694,
        1.55971,
        1.61535,
        1.68977,
        1.69627,
        1.4938,
        1.54574,
        1.64406,
        1.58764,
        1.51022,
        1.54853,
        1.53032,
        1.48081,
        1.53009,
        1.52639,
        1.66413,
        1.54366,
        1.49721,
        1.57439,
        1.76966,
        1.57984,
        1.56588,
        1.51947,
        1.522,
        1.49157,
        1.59679,
        1.62694,
        1.56562,
        1.46423,
        1.52429,
        1.6241,
        1.5329,
        1.64663,
        1.59589,
        1.5402,
        1.54969,
        1.54973,
        1.55639,
        1.47061,
        1.63958,
        1.61556,
        1.57702,
        1.55733,
        1.44092,
        1.46525,
        1.5074,
        1.64486,
        1.57055,
        1.49378,
        1.55613,
        1.79686,
        1.69111,
        1.7337,
        1.6814,
        1.80918,
        1.55482,
        1.86665,
        1.71683,
        1.9116,
        1.66869,
        1.49601,
        1.70441,
        1.45803,
        1.47061,
        1.53083,
        1.47235,
        1.4945,
        1.6027,
        1.72446,
        1.57206,
        1.54221,
        1.6981,
        1.71125,
        1.54729,
        1.53986,
        1.63272,
        1.748,
        1.65054,
        1.53046,
        1.60873,
        1.5911,
        1.57351,
        1.63919,
        1.65663,
        1.65351,
        1.51451,
        1.50598,
        1.62324,
        1.58233,
        1.3847,
        1.62486,
        1.83155,
        1.5395,
        1.75545,
        1.64225,
        1.64894,
        1.59963,
        1.48096,
        1.56844,
        1.46789,
        1.19316,
        1.44255,
        1.60043,
        1.54106,
        1.45038,
        1.55661,
        1.42701,
        1.54381,
        1.52216,
        1.43875,
        1.52685,
        1.52661,
        1.5174,
        1.63171,
        1.60796,
        1.57696,
        1.59391,
        1.5498,
        1.46442,
        1.50603,
        1.58946,
        1.59079,
        1.57333,
        1.51171,
        1.45386,
        1.58223,
        1.63921,
        1.68586,
        1.69497,
        1.59727,
        1.67002,
        1.69153,
        1.49432,
        1.51885,
        1.59358,
        1.6608,
        1.55628,
        1.59412,
        1.70691,
        1.65537,
        1.58695,
        1.72502,
        1.64665,
        1.59946,
        1.66592,
        1.59418,
        1.62963,
        1.55018,
        1.66784,
        1.56819,
        1.65294,
        1.6399,
        1.50955,
        1.52043,
        1.55419,
        1.56999,
        1.58236,
        1.7091,
        1.72624,
        1.5541,
        1.55888,
        1.56558,
        1.62159,
        1.75895,
        1.74475,
        1.60796,
        1.65075,
        1.55009,
        1.56402,
        1.66275,
        1.56097,
        1.52164,
        1.49431,
        1.60024,
        1.37732,
        1.39804,
        1.60449,
        1.46018,
        1.58897,
        1.50208,
        1.35481,
        1.62074,
        1.56043,
        1.56505,
        1.54285,
        1.61976,
        1.62789,
        1.64515,
        1.61707,
        1.69889,
        1.71165,
        1.54173,
        1.66789,
        1.63938,
        1.74936,
        1.61089,
        1.64477,
        1.53101,
        1.56624,
        1.67798,
        1.58843,
        1.65666,
        1.62717,
        1.60549,
        1.46915,
        1.60179,
        1.70865,
        1.6802,
        1.6358,
        1.55909,
        1.59129,
        1.58749,
        1.57509,
        1.47445,
        1.46421,
        1.61465,
        1.68537,
        1.70687,
        1.72662,
        1.73655,
        1.52213,
        1.40835,
        1.67639,
        1.66009,
        1.55291,
        1.63775,
        1.62838,
        1.53906,
        1.46973,
        1.59288,
        1.55257,
        1.65673,
        1.63872,
        1.7086,
        1.42543,
        1.38098,
        1.39452,
        1.85611,
        1.47424,
        1.72403,
        1.70127,
        1.71585,
        1.47224,
        1.70237,
        1.83194,
        1.75051,
        1.61552,
        1.47721,
        1.57865,
        1.48867,
        1.37006,
        1.67853,
        1.64396,
        1.59139,
        1.45749,
        1.54988,
        1.63231,
        1.56349,
        1.53439,
        1.55629,
        1.56288,
        1.5312,
        1.53865,
        1.61067,
        1.53097,
        1.54043,
        1.60587,
        1.64795,
        1.73506,
        1.60238,
        1.52357,
        1.60963,
        1.71924,
        1.49042,
        1.52082,
        1.46978,
        1.66123,
        1.55596,
        1.54999,
        1.61406,
        1.54473,
        1.52166,
        1.53797,
        1.54288,
        1.59081,
        1.59843,
        1.5719,
        1.57335,
        1.568,
        1.56178,
        1.6374,
        1.66043,
        1.62074,
        1.66833,
        1.59963,
        1.57089,
        1.6282,
        1.58423,
        1.56712,
        1.59705,
        1.56072,
        1.55182,
        1.58852,
        1.66805,
        1.58334,
        1.55319,
        1.563,
        1.5594,
        1.59212,
        1.56767,
        1.62585,
        1.64494,
        1.55744,
        1.56437,
        1.70058,
        1.58174,
        1.6219,
        1.65424,
        1.61126,
        1.5879,
        1.56616,
        1.59196,
        1.61509,
        1.60612,
        1.65802,
        1.6175,
        1.48169,
        1.53283,
        1.60485,
        1.58379,
        1.60868,
        1.59214,
        1.598,
        1.60682,
        1.52246,
        1.63482,
        1.57956,
        1.63576,
        1.57471,
        1.597,
        1.62866,
        1.623,
        1.53575,
        1.5792,
        1.58765,
        1.58968,
        1.60959,
        1.63559,
        1.55052,
        1.56096,
        1.54967,
        1.58597,
        1.57339,
        1.56907,
        1.5129,
        1.58488,
        1.48736,
        1.64314,
        1.50012,
        1.67344,
        1.60994,
        1.5856,
        1.48878,
        1.5999,
        1.64306,
        1.75768,
        1.64763,
        1.62883,
        1.60302,
        1.57393,
        1.61944,
        1.60159,
        1.58774,
        1.58623,
        1.58585,
        1.5765,
        1.51114,
        1.58678,
        1.60208,
        1.5754,
        1.52398,
        1.56272,
        1.59465,
        1.63626,
        1.56255,
        1.58437,
        1.5698,
        1.54599,
        1.4006,
        1.63999,
        1.58723,
        1.53908,
        1.5656,
        1.60877,
        1.61979,
        1.67894,
        1.79279,
        1.60926,
        1.59762,
        1.63668,
        1.54598,
        1.6226,
        1.69231,
        1.58723,
        1.6732,
        1.68894,
        1.61467,
        1.53167,
        1.61002,
        1.5998,
        1.73638,
        1.60421,
        1.5652,
        1.48741,
        1.68844,
        1.69996,
        1.71533,
        1.61024,
        1.67606,
        1.72575,
        1.58297,
        1.42186,
        1.70049,
        1.32422,
        1.94265,
        1.96114,
        1.77524,
        1.59715,
        1.77238,
        1.62376,
        1.56517,
        1.65,
        1.56164,
        1.59497,
        1.63799,
        1.47529,
        1.58537,
        1.59921,
        1.49153,
        1.56458,
        1.59765,
        1.6347,
        1.50193,
        1.62118,
        1.58041,
        1.56953,
        1.62145,
        1.53826,
        1.633,
        1.59894,
        1.57541,
        1.5938,
        1.60505,
        1.6922,
        1.54485,
        1.54836,
        1.53679,
        1.66026,
        1.64401,
        1.54671,
        1.53701,
        1.61914,
        1.50749,
        1.54484,
        1.67996,
        1.64531,
        1.53461,
        1.69605,
        1.62254,
        1.5067,
        1.50832,
        1.57528,
        1.48913,
        1.42772,
        1.58001,
        1.64731,
        1.60746,
        1.59007,
        1.68408,
        1.63399,
        1.63493,
        1.5352,
        1.49053,
        1.6081,
        1.73328,
        1.70155,
        1.58793,
        1.59587,
        1.53179,
        1.58224,
        1.53607,
        1.53292,
        1.51724,
        1.51534,
        1.48486,
        1.47249,
        1.41774,
        1.43057,
        1.56172,
        1.55988,
        1.4822,
        1.51068,
        1.68642,
        1.67272,
        1.44531,
        1.59706,
        1.44803,
        1.53512,
        1.4775,
        1.55538,
        1.69417,
        1.61384,
        1.47427,
        1.47738,
        1.38268,
        1.55772,
        1.60938,
        1.65506,
        1.51933,
        1.55819,
        1.51013,
        1.50863,
        1.51,
        1.60128,
        1.48576,
        1.5729,
        1.6456,
        1.48716,
        1.44532,
        1.57828,
        1.66245,
        1.50127,
        1.57311,
        1.521,
        1.49792,
        1.57967,
        1.59077,
        1.68396,
        1.54269,
        1.45975,
        1.59913,
        1.58531,
        1.59432,
        1.48434,
        1.50509,
        1.58371,
        1.68441,
        1.56597,
        1.7035,
        1.56226,
        1.55508,
        1.55038,
        1.58978,
        1.61647,
        1.67872,
        1.53603,
        1.47948,
        1.48045,
        1.43385,
        1.39791,
        1.5353,
        1.40375,
        1.53797,
        1.71422,
        1.73076,
        1.69657,
        1.58535,
        1.72437,
        1.6424,
        1.52254,
        1.58789,
        1.58642,
        1.63988,
        1.73278,
        1.79727,
        1.48097,
        1.41347,
        1.6812,
        1.67095,
        1.52372,
        1.56838,
        1.58876,
        1.34235,
        1.57766,
        1.52709,
        1.40011,
        1.4037,
        1.49992,
        1.56193,
        1.57649,
        1.56045,
        1.47161,
        1.52725,
        1.56637,
        1.54593,
        1.55776,
        1.56326,
        1.54493,
        1.39454,
        1.39442,
        1.51606,
        1.32875,
        1.51208,
        1.68209,
        1.72367,
        1.71268,
        1.7525,
        1.58778,
        1.60757,
        1.7436,
        1.90371,
        1.49796,
        1.73359,
        1.27999,
        1.7337,
        1.89204,
        1.77162,
        1.66709,
        1.36725,
        1.3215,
        1.63217,
        1.63928,
        1.43773,
        1.60801,
        1.77433,
        1.6273,
        1.37519,
        1.35135,
        1.57083,
        1.38666,
        1.62086,
        1.69395,
        1.55512,
        1.3984,
        1.2698,
        1.47701,
        1.79328,
        1.53058,
        1.45211,
        1.71867,
        1.89599,
        1.60671,
        1.28534,
        0.990787,
        1.47674,
        1.33454,
        1.4562,
        1.34964,
        1.53865,
        1.57917,
        1.17421,
        1.24256,
        1.86484,
        1.86744,
        1.64486,
        1.88245,
        null,
        1.62994,
        1.55342,
        1.84934,
        1.61059,
        1.666,
        2.11835,
        1.60124,
        1.7186,
        2.09195,
        1.90868,
        1.62335,
        1.38259,
        1.5034,
        1.70939,
        1.29042,
        1.21897,
        1.45059,
        1.52643,
        1.54395,
        1.51219,
        1.78608,
        1.44612,
        1.39443,
        1.36867,
        1.63288,
        1.49238,
        1.45641,
        1.56209,
        1.851,
        1.43328,
        1.56611,
        1.71252,
        1.70316,
        1.67751,
        1.5691,
        1.39442,
        1.49341,
        1.63152,
        1.41073,
        1.49904,
        1.60435,
        1.57571,
        1.59335,
        1.67619,
        1.47291,
        1.33802,
        1.59151,
        1.32349,
        1.53472,
        1.49394,
        1.292,
        1.40202,
        1.39775,
        1.51034,
        1.43601,
        1.66455,
        1.33959,
        1.51304,
        1.37378,
        1.30427,
        1.57513,
        1.67946,
        1.71599,
        1.53937,
        1.41728,
        1.67449,
        1.61887,
        1.56819,
        1.61631,
        1.33841,
        1.32394,
        1.4431,
        1.31934,
        1.42848,
        1.62063,
        1.45112,
        1.55313,
        1.53946,
        2.02536,
        1.57493,
        1.33595,
        1.3533,
        1.71862,
        1.66628,
        2.14989,
        1.86435,
        1.64164,
        1.45538,
        1.35224,
        1.16414,
        1.26467,
        1.61766,
        1.12529,
        1.21219,
        1.83305,
        1.58721,
        1.4509,
        1.5592,
        1.52212,
        1.65156,
        1.56808,
        1.57646,
        1.58682,
        1.58354,
        1.59415,
        1.45875
    ],
    "flux_error": [
        0.136134,
        0.129248,
        0.119541,
        0.116,
        0.11563,
        0.11346,
        0.112586,
        0.106882,
        0.104538,
        0.104008,
        0.102416,
        0.104123,
        0.10836,
        0.109303,
        0.103307,
        0.10552,
        0.108035,
        0.109484,
        0.116239,
        0.125458,
        0.14151,
        0.158974,
        0.176457,
        0.210677,
        0.255127,
        0.239341,
        0.211241,
        0.205641,
        0.192568,
        0.184349,
        0.172616,
        0.170648,
        0.177619,
        0.192033,
        0.202758,
        0.193647,
        0.200628,
        0.211973,
        0.220805,
        0.285724,
        0.311236,
        0.32225,
        0.294656,
        0.242184,
        0.214094,
        0.188033,
        0.159919,
        0.155925,
        0.153663,
        0.148365,
        0.143654,
        0.14451,
        0.150476,
        0.140753,
        0.132825,
        0.128077,
        0.125084,
        0.123069,
        0.139055,
        0.156345,
        0.145994,
        0.145784,
        0.157918,
        0.178591,
        0.217112,
        0.281031,
        0.327035,
        0.283148,
        0.238111,
        0.188716,
        0.168783,
        0.154628,
        0.136072,
        0.123578,
        0.122684,
        0.125359,
        0.115342,
        0.109889,
        0.111517,
        0.112135,
        0.11049,
        0.115923,
        0.126629,
        0.134535,
        0.148043,
        0.166937,
        0.180733,
        0.197802,
        0.191589,
        0.16687,
        0.169695,
        0.170184,
        0.172896,
        0.178311,
        0.196169,
        0.22009,
        0.238493,
        0.26399,
        0.323706,
        0.344681,
        0.275836,
        0.227115,
        0.217012,
        0.208938,
        0.187984,
        0.182944,
        0.178017,
        0.164164,
        0.161522,
        0.162102,
        0.177101,
        0.18951,
        0.215029,
        0.233854,
        0.232146,
        0.213133,
        0.184319,
        0.153244,
        0.128592,
        0.118883,
        0.131492,
        0.121858,
        0.0990881,
        0.0968137,
        0.0943325,
        0.090661,
        0.0872726,
        0.0878068,
        0.0883655,
        0.086284,
        0.0833963,
        0.0821668,
        0.0827259,
        0.0803609,
        0.0797523,
        0.0805391,
        0.0778357,
        0.079245,
        0.0815835,
        0.0797599,
        0.0813221,
        0.0841723,
        0.0890245,
        0.0914939,
        0.0911236,
        0.100198,
        0.10442,
        0.107323,
        0.115093,
        0.125891,
        0.138862,
        0.149264,
        0.164988,
        0.187718,
        0.207246,
        0.208826,
        0.237501,
        0.293178,
        0.337993,
        0.349132,
        0.269352,
        0.22841,
        0.1913,
        0.15874,
        0.148175,
        0.13196,
        0.116105,
        0.109874,
        0.103987,
        0.100127,
        0.0972564,
        0.0921005,
        0.0894287,
        0.0889934,
        0.0887943,
        0.0854633,
        0.083188,
        0.0814629,
        0.0781746,
        0.0740061,
        0.0749073,
        0.073542,
        0.0721972,
        0.0714931,
        0.0771566,
        0.0778727,
        0.0689877,
        0.0703451,
        0.0697561,
        0.0709585,
        0.0721551,
        0.0692326,
        0.0716384,
        0.0721935,
        0.072244,
        0.0754097,
        0.0784885,
        0.0844861,
        0.0920578,
        0.0995173,
        0.103888,
        0.110541,
        0.114671,
        0.1095,
        0.106449,
        0.102783,
        0.102866,
        0.103844,
        0.10544,
        0.113204,
        0.119884,
        0.130599,
        0.140726,
        0.157795,
        0.179387,
        0.206581,
        0.226133,
        0.26791,
        0.351943,
        0.23898,
        0.199212,
        0.187561,
        0.171298,
        0.145678,
        0.137333,
        0.130296,
        0.120083,
        0.117833,
        0.108572,
        0.099538,
        0.0932513,
        0.0915934,
        0.0855722,
        0.0818366,
        0.0806969,
        0.0793464,
        0.0785149,
        0.0797656,
        0.0824574,
        0.084311,
        0.0921235,
        0.095343,
        0.0933499,
        0.103109,
        0.0968338,
        0.0787438,
        0.0743253,
        0.0716783,
        0.0716409,
        0.0706036,
        0.0716953,
        0.074627,
        0.0782082,
        0.0769969,
        0.078422,
        0.0805046,
        0.0783273,
        0.0780464,
        0.0782801,
        0.0787172,
        0.0785374,
        0.07842,
        0.0776526,
        0.0784212,
        0.0972848,
        0.102494,
        0.0883384,
        0.0904195,
        0.0972029,
        0.104278,
        0.110111,
        0.11763,
        0.118456,
        0.127286,
        0.126863,
        0.130034,
        0.149102,
        0.164473,
        0.190425,
        0.214562,
        0.240528,
        0.266077,
        0.29667,
        0.360791,
        0.280068,
        0.26828,
        0.209716,
        0.17973,
        0.160244,
        0.143859,
        0.126687,
        0.116898,
        0.116239,
        0.106551,
        0.100336,
        0.0936689,
        0.0893189,
        0.0855712,
        0.0835861,
        0.0838574,
        0.0792508,
        0.0744671,
        0.0735532,
        0.0720609,
        0.0718651,
        0.071032,
        0.0705593,
        0.0677986,
        0.0680464,
        0.0686342,
        0.0672144,
        0.0662096,
        0.0683627,
        0.0684977,
        0.0651543,
        0.0651154,
        0.0634751,
        0.0638419,
        0.0637415,
        0.0650646,
        0.0669462,
        0.0699345,
        0.0707596,
        0.0722266,
        0.0722678,
        0.0720826,
        0.0726778,
        0.0771447,
        0.0778987,
        0.0782617,
        0.0825181,
        0.0888624,
        0.0928634,
        0.08888,
        0.0914073,
        0.0991741,
        0.102452,
        0.104744,
        0.111174,
        0.124916,
        0.134151,
        0.138025,
        0.164518,
        0.185849,
        0.203668,
        0.244177,
        0.304869,
        0.340591,
        0.265922,
        0.213242,
        0.212797,
        0.179801,
        0.14988,
        0.153296,
        0.134941,
        0.113607,
        0.108717,
        0.105667,
        0.0971238,
        0.0902835,
        0.0852317,
        0.0811071,
        0.0791863,
        0.0737096,
        0.0715726,
        0.070688,
        0.0673128,
        0.0665955,
        0.0644506,
        0.062412,
        0.060505,
        0.0599837,
        0.0593479,
        0.0576613,
        0.0566044,
        0.0562323,
        0.0690864,
        0.0703111,
        0.0556556,
        0.0556775,
        0.0564621,
        0.0560632,
        0.0570726,
        0.0578705,
        0.0581027,
        0.0599133,
        0.0600379,
        0.0610573,
        0.0636298,
        0.0638286,
        0.0633353,
        0.0629902,
        0.063236,
        0.063431,
        0.0654415,
        0.0694776,
        0.0805593,
        0.0886818,
        0.083117,
        0.085095,
        0.090785,
        0.0981085,
        0.101022,
        0.109091,
        0.117235,
        0.133143,
        0.156186,
        0.210234,
        0.243867,
        0.236556,
        0.248941,
        0.240595,
        0.235436,
        0.235632,
        0.261216,
        0.31598,
        0.248983,
        0.218275,
        0.191365,
        0.159937,
        0.149352,
        0.131847,
        0.119311,
        0.111991,
        0.103723,
        0.106003,
        0.0982025,
        0.0858026,
        0.0823539,
        0.0801079,
        0.0759692,
        0.0747183,
        0.0717576,
        0.069644,
        0.0671805,
        0.06519,
        0.0636518,
        0.0639341,
        0.0626123,
        0.061646,
        0.0627531,
        0.0618118,
        0.0642083,
        0.0634927,
        0.0654825,
        0.0658398,
        0.0671428,
        0.0652654,
        0.0640868,
        0.0629193,
        0.0623582,
        0.0612679,
        0.0626559,
        0.0649923,
        0.067091,
        0.0698963,
        0.077131,
        0.0781587,
        0.074739,
        0.0739294,
        0.0768214,
        0.0821424,
        0.0922703,
        0.101331,
        0.108707,
        0.126687,
        0.148858,
        0.161218,
        0.161538,
        0.138884,
        0.122347,
        0.111281,
        0.104165,
        0.10526,
        0.104212,
        0.105614,
        0.112492,
        0.112854,
        0.121837,
        0.138828,
        0.140921,
        0.14939,
        0.168195,
        0.191227,
        0.225917,
        0.247222,
        0.336812,
        0.492325,
        0.337591,
        0.287242,
        0.252935,
        0.224354,
        0.179424,
        0.171659,
        0.154644,
        0.142129,
        0.136331,
        0.12389,
        0.110726,
        0.11184,
        0.117064,
        0.125202,
        0.134535,
        0.142708,
        0.17984,
        0.188287,
        0.162188,
        0.143518,
        0.124618,
        0.110814,
        0.0958563,
        0.0896268,
        0.0828314,
        0.0749704,
        0.0727985,
        0.0727078,
        0.0748281,
        0.0748926,
        0.0759112,
        0.0758372,
        0.0766507,
        0.0805664,
        0.0832077,
        0.0864878,
        0.0915548,
        0.104668,
        0.123282,
        0.155422,
        0.171136,
        0.203146,
        0.218603,
        0.188457,
        0.147962,
        0.127177,
        0.108498,
        0.0957344,
        0.0878904,
        0.0807654,
        0.0781623,
        0.0757977,
        0.0728457,
        0.0706407,
        0.0732446,
        0.0754147,
        0.0735461,
        0.0745639,
        0.0763178,
        0.0815989,
        0.0841988,
        0.085225,
        0.0925576,
        0.106567,
        0.115401,
        0.112698,
        0.121332,
        0.128137,
        0.131424,
        0.144192,
        0.174067,
        0.202592,
        0.237615,
        0.315088,
        0.242704,
        0.211814,
        0.202096,
        0.172108,
        0.143984,
        0.116838,
        0.11481,
        0.110018,
        0.103872,
        0.0961986,
        0.0893161,
        0.0831446,
        0.0841249,
        0.0876135,
        0.0852926,
        0.0807379,
        0.0798206,
        0.0866221,
        0.0854199,
        0.0757649,
        0.0785008,
        0.081724,
        0.0838863,
        0.0895441,
        0.0958236,
        0.111851,
        0.129246,
        0.164864,
        0.216515,
        0.269573,
        0.270245,
        0.261916,
        0.275434,
        0.298906,
        0.333121,
        0.276348,
        0.197012,
        0.145891,
        0.115228,
        0.0933436,
        0.0810862,
        0.0734065,
        0.0688914,
        0.0761221,
        0.0754694,
        0.0651469,
        0.0665441,
        0.0668816,
        0.0717456,
        0.0708406,
        0.0683002,
        0.0701733,
        0.0750788,
        0.0753003,
        0.0739341,
        0.0758975,
        0.073989,
        0.0839976,
        0.0843365,
        0.0771,
        0.0795675,
        0.0844412,
        0.092045,
        0.0949518,
        0.0987556,
        0.1012,
        0.107767,
        0.113511,
        0.122624,
        0.138333,
        0.148214,
        0.174413,
        0.18725,
        0.246058,
        0.279351,
        0.253,
        0.223134,
        0.19395,
        0.163265,
        0.169082,
        0.15014,
        0.140405,
        0.138889,
        0.124516,
        0.115671,
        0.117968,
        0.123485,
        0.126555,
        0.161886,
        0.178441,
        0.168546,
        0.213447,
        0.250888,
        0.357945,
        0.249846,
        0.223797,
        0.174333,
        0.125521,
        0.107722,
        0.094591,
        0.0845459,
        0.0806894,
        0.0727575,
        0.0667221,
        0.0637819,
        0.0607201,
        0.0593094,
        0.0584996,
        0.0577873,
        0.0568568,
        0.0588345,
        0.0584532,
        0.059418,
        0.0602756,
        0.0664172,
        0.066381,
        0.064179,
        0.0616966,
        0.0607527,
        0.0591477,
        0.0578628,
        0.0568393,
        0.0562398,
        0.0566496,
        0.0548831,
        0.0556142,
        0.0566967,
        0.055913,
        0.0583251,
        0.0607534,
        0.06151,
        0.0638315,
        0.0738616,
        0.0787837,
        0.0711354,
        0.0754747,
        0.0799642,
        0.0866916,
        0.0875393,
        0.0906249,
        0.0954193,
        0.10069,
        0.112934,
        0.117544,
        0.125585,
        0.142198,
        0.16825,
        0.199844,
        0.245065,
        0.244211,
        0.293684,
        0.365096,
        0.273215,
        0.205073,
        0.160431,
        0.131957,
        0.115677,
        0.106456,
        0.0978798,
        0.087384,
        0.0836413,
        0.0794284,
        0.0755332,
        0.0715255,
        0.0677201,
        0.0640445,
        0.0657175,
        0.063535,
        0.0596327,
        0.0586732,
        0.0578453,
        0.0588973,
        0.0594775,
        0.0580738,
        0.0610919,
        0.0601927,
        0.0579334,
        0.0566855,
        0.0660811,
        0.0664839,
        0.0625367,
        0.0669515,
        0.0703872,
        0.078976,
        0.0941968,
        0.123893,
        0.15517,
        0.165014,
        0.157775,
        0.139513,
        0.115943,
        0.0920164,
        0.0899772,
        0.0834076,
        0.0770181,
        0.0755217,
        0.0662536,
        0.063007,
        0.064056,
        0.061871,
        0.0623928,
        0.0623867,
        0.0641031,
        0.06628,
        0.0682293,
        0.0710574,
        0.0810036,
        0.0859734,
        0.0867989,
        0.0944651,
        0.093916,
        0.0989975,
        0.103883,
        0.116297,
        0.132592,
        0.143907,
        0.167994,
        0.193334,
        0.217446,
        0.26801,
        0.285525,
        0.21755,
        0.180498,
        0.162232,
        0.142358,
        0.122177,
        0.104611,
        0.0947875,
        0.0864981,
        0.082684,
        0.0766643,
        0.074034,
        0.0729987,
        0.0681123,
        0.0659324,
        0.0639753,
        0.0625369,
        0.0640759,
        0.0640764,
        0.0648827,
        0.0637073,
        0.0635279,
        0.058756,
        0.0553388,
        0.0554973,
        0.0549403,
        0.0548461,
        0.0539775,
        0.0514751,
        0.0510932,
        0.0503423,
        0.0490215,
        0.0483268,
        0.0475702,
        0.0479876,
        0.0468716,
        0.0446571,
        0.0452517,
        0.0448327,
        0.0448837,
        0.0461492,
        0.0457336,
        0.0456834,
        0.0469895,
        0.0465087,
        0.0471286,
        0.0482111,
        0.0477174,
        0.0475599,
        0.0483957,
        0.0485073,
        0.0478257,
        0.0483579,
        0.048383,
        0.0490597,
        0.0503086,
        0.0515523,
        0.0523801,
        0.0538235,
        0.0556149,
        0.0572499,
        0.059267,
        0.0609593,
        0.0625665,
        0.0654241,
        0.0682271,
        0.073887,
        0.0774439,
        0.0795545,
        0.0903849,
        0.0968263,
        0.102899,
        0.119221,
        0.133063,
        0.149295,
        0.1641,
        0.237127,
        0.301636,
        0.32755,
        0.293362,
        0.243775,
        0.191483,
        0.168653,
        0.157491,
        0.140215,
        0.127956,
        0.118313,
        0.107468,
        0.103033,
        0.0920941,
        0.0899976,
        0.0874895,
        0.0821616,
        0.0781304,
        0.0757236,
        0.072017,
        0.0676847,
        0.0634955,
        0.0615406,
        0.059381,
        0.0565791,
        0.0545738,
        0.0548616,
        0.0531142,
        0.051949,
        0.0518643,
        0.0504882,
        0.0503868,
        0.0502393,
        0.0486883,
        0.0482085,
        0.0470006,
        0.0482116,
        0.0471763,
        0.0462006,
        0.0460701,
        0.0457283,
        0.0498442,
        0.0491677,
        0.0466087,
        0.0463188,
        0.0457131,
        0.045702,
        0.0480691,
        0.0497538,
        0.0459435,
        0.0467674,
        0.0469982,
        0.0478115,
        0.048149,
        0.0471939,
        0.0474358,
        0.0495108,
        0.0508607,
        0.0512822,
        0.0532042,
        0.0544588,
        0.0525417,
        0.0541819,
        0.0548094,
        0.0569282,
        0.0573877,
        0.0582857,
        0.0601916,
        0.0621531,
        0.0630867,
        0.0663087,
        0.0666857,
        0.0696208,
        0.0737149,
        0.0749951,
        0.0811008,
        0.0877525,
        0.0958937,
        0.106546,
        0.113199,
        0.12799,
        0.157819,
        0.176575,
        0.199787,
        0.217134,
        0.264445,
        0.359915,
        0.305153,
        0.235869,
        0.183219,
        0.163257,
        0.159016,
        0.129054,
        0.116876,
        0.10448,
        0.0961881,
        0.0883861,
        0.0824399,
        0.0775892,
        0.0732774,
        0.0713322,
        0.0685497,
        0.0665535,
        0.0631268,
        0.0621278,
        0.0615504,
        0.0597166,
        0.0575064,
        0.0547014,
        0.0575272,
        0.0577265,
        0.0549456,
        0.0538624,
        0.0642244,
        0.0640266,
        0.0585553,
        0.0596383,
        0.0607609,
        0.0652751,
        0.0724044,
        0.0782117,
        0.0886068,
        0.095608,
        0.0961062,
        0.0937592,
        0.0871867,
        0.0777085,
        0.0719787,
        0.066413,
        0.0607034,
        0.0602517,
        0.0572857,
        0.058521,
        0.0580425,
        0.0555012,
        0.0555701,
        0.0542666,
        0.0559868,
        0.0560461,
        0.0547987,
        0.0559861,
        0.055884,
        0.0581301,
        0.0583024,
        0.0582148,
        0.0597822,
        0.060682,
        0.0625883,
        0.0637117,
        0.068238,
        0.0694788,
        0.0744281,
        0.0891617,
        0.0962578,
        0.0887484,
        0.0968846,
        0.107291,
        0.120485,
        0.141353,
        0.159105,
        0.192857,
        0.267439,
        0.385521,
        0.468472,
        0.325543,
        0.247686,
        0.20746,
        0.186698,
        0.161888,
        0.134635,
        0.124701,
        0.118394,
        0.10584,
        0.101613,
        0.0886438,
        0.0861552,
        0.0798298,
        0.0781995,
        0.0736325,
        0.0694742,
        0.0684278,
        0.0659628,
        0.0653569,
        0.0628499,
        0.0597574,
        0.0569686,
        0.0573006,
        0.056248,
        0.0527699,
        0.0526033,
        0.0519276,
        0.050789,
        0.050753,
        0.0501112,
        0.0497598,
        0.0582497,
        0.0575029,
        0.0489605,
        0.0482533,
        0.0474038,
        0.0482444,
        0.0477828,
        0.048208,
        0.0481423,
        0.048893,
        0.0492238,
        0.0537415,
        0.0576624,
        0.0515802,
        0.0543266,
        0.0578443,
        0.05336,
        0.0561986,
        0.0560642,
        0.0574949,
        0.0596796,
        0.0604185,
        0.0622024,
        0.0664709,
        0.0677025,
        0.0694032,
        0.0717678,
        0.07381,
        0.0794923,
        0.0836025,
        0.0953165,
        0.0992808,
        0.111871,
        0.129018,
        0.160775,
        0.207259,
        0.255211,
        0.360448,
        0.236774,
        0.205635,
        0.175416,
        0.157965,
        0.157346,
        0.141123,
        0.149406,
        0.154036,
        0.151858,
        0.152253,
        0.165978,
        0.193771,
        0.209564,
        0.240798,
        0.281551,
        0.243252,
        0.218257,
        0.205847,
        0.172649,
        0.143465,
        0.128878,
        0.127332,
        0.119352,
        0.105901,
        0.0985425,
        0.0929478,
        0.0873615,
        0.0804628,
        0.0769725,
        0.0736211,
        0.0721402,
        0.0708346,
        0.0680626,
        0.0664548,
        0.0651126,
        0.0641268,
        0.0640671,
        0.0668572,
        0.0697813,
        0.0642693,
        0.0647521,
        0.0633548,
        0.0602243,
        0.0590243,
        0.0586746,
        0.0589424,
        0.0586302,
        0.060951,
        0.061543,
        0.0597437,
        0.0571783,
        0.0557621,
        0.0558753,
        0.0549668,
        0.0552548,
        0.0570645,
        0.0569582,
        0.0584995,
        0.0582899,
        0.0600649,
        0.0617627,
        0.0628697,
        0.0666628,
        0.0758005,
        0.0796619,
        0.0750369,
        0.0829406,
        0.090385,
        0.106201,
        0.124164,
        0.146101,
        0.188435,
        0.262184,
        0.49153,
        0.256752,
        0.185838,
        0.158469,
        0.126922,
        0.117007,
        0.10247,
        0.0954912,
        0.0929322,
        0.0906742,
        0.0870231,
        0.0861816,
        0.0825275,
        0.082594,
        0.0826904,
        0.0867266,
        0.0886789,
        0.0913663,
        0.0938034,
        0.0962585,
        0.103898,
        0.106478,
        0.115071,
        0.122495,
        0.136366,
        0.152891,
        0.197763,
        0.209365,
        0.266978,
        0.328575,
        0.304209,
        0.232637,
        0.19248,
        0.163825,
        0.141006,
        0.138449,
        0.129453,
        0.119798,
        0.109948,
        0.102399,
        0.105146,
        0.0991919,
        0.0953348,
        0.084715,
        0.0796669,
        0.0741128,
        0.076684,
        0.0715889,
        0.068854,
        0.0657944,
        0.0672323,
        0.0650115,
        0.0614854,
        0.0606242,
        0.0599396,
        0.0599454,
        0.0588423,
        0.0594658,
        0.0575376,
        0.058987,
        0.0703846,
        0.0731527,
        0.0600598,
        0.0592487,
        0.0609927,
        0.0637835,
        0.0675373,
        0.0728914,
        0.074384,
        0.0762665,
        0.0782255,
        0.0889033,
        0.10116,
        0.123417,
        0.143843,
        0.163161,
        0.213032,
        0.27317,
        0.210078,
        0.171992,
        0.149858,
        0.130664,
        0.118847,
        0.102988,
        0.0887358,
        0.086109,
        0.0822626,
        0.0791267,
        0.0747799,
        0.077255,
        0.0772113,
        0.0739053,
        0.0719011,
        0.0721916,
        0.0706342,
        0.0710202,
        0.0739326,
        0.0731016,
        0.0743115,
        0.0749621,
        0.0727528,
        0.0766521,
        0.0803144,
        0.0826002,
        0.0862684,
        0.0946734,
        0.0954009,
        0.0947501,
        0.100081,
        0.108201,
        0.108096,
        0.114946,
        0.125315,
        0.145378,
        0.157943,
        0.168424,
        0.203037,
        0.256446,
        0.298784,
        0.383717,
        0.428179,
        0.539846,
        0.308655,
        0.218567,
        0.194433,
        0.163563,
        0.149638,
        0.140717,
        0.12736,
        0.115165,
        0.111334,
        0.102385,
        0.0975358,
        0.101129,
        0.0969345,
        0.0987955,
        0.0954917,
        0.0899852,
        0.0920539,
        0.0834076,
        0.0854486,
        0.0807291,
        0.0762437,
        0.0763786,
        0.0746498,
        0.0757596,
        0.0817397,
        0.089875,
        0.0938006,
        0.0870838,
        0.0983348,
        0.102233,
        0.0999492,
        0.11153,
        0.129034,
        0.141084,
        0.168043,
        0.221122,
        0.216926,
        0.168344,
        0.153374,
        0.125665,
        0.104874,
        0.0935525,
        0.082364,
        0.0767661,
        0.0747005,
        0.0735853,
        0.0685874,
        0.0663411,
        0.0667541,
        0.0652085,
        0.0635749,
        0.0618304,
        0.0616036,
        0.060451,
        0.0606178,
        0.0606099,
        0.0607368,
        0.0609109,
        0.0595497,
        0.0625109,
        0.0623185,
        0.0640458,
        0.0663505,
        0.0683417,
        0.0684505,
        0.0663653,
        0.0668266,
        0.0676034,
        0.0688756,
        0.0714737,
        0.0722105,
        0.073797,
        0.0736702,
        0.07748,
        0.0806391,
        0.0823015,
        0.0869826,
        0.0900351,
        0.0908456,
        0.0970964,
        0.108966,
        0.120835,
        0.141287,
        0.161551,
        0.159514,
        0.176952,
        0.199082,
        0.213732,
        null,
        0.187917,
        0.169716,
        0.15298,
        0.142997,
        0.144861,
        0.152896,
        0.15872,
        0.172641,
        0.19566,
        0.22726,
        0.272569,
        0.261871,
        0.19567,
        0.150924,
        0.122545,
        0.101775,
        0.0862033,
        0.0755065,
        0.0699875,
        0.0649306,
        0.0592438,
        0.0556128,
        0.0539235,
        0.0524576,
        0.0504737,
        0.0491942,
        0.0483675,
        0.0470545,
        0.0469638,
        0.0470664,
        0.0470831,
        0.0475925,
        0.0486739,
        0.0504443,
        0.0517297,
        0.0506294,
        0.0487812,
        0.0473689,
        0.0453237,
        0.0432875,
        0.0419256,
        0.0413577,
        0.0405755,
        0.0397069,
        0.039137,
        0.039424,
        0.040093,
        0.0394807,
        0.0385662,
        0.0390278,
        0.0394753,
        0.0399517,
        0.0403682,
        0.0412161,
        0.0412479,
        0.0422423,
        0.0429289,
        0.0431408,
        0.0437796,
        0.0444415,
        0.0451481,
        0.0463688,
        0.0479098,
        0.0489737,
        0.0510101,
        0.0524999,
        0.0549242,
        0.05722,
        0.061372,
        0.066439,
        0.0729836,
        0.0816962,
        0.0867464,
        0.0926148,
        0.0967607,
        0.0999044,
        0.107666,
        0.126496,
        0.145991,
        0.172295,
        0.222654,
        0.293337,
        0.288867,
        0.207877,
        0.153876,
        0.124653,
        0.103279,
        0.0998153,
        0.0879609,
        0.07257,
        0.0707228,
        0.0695781,
        0.0669222,
        0.0655499,
        0.063684,
        0.059846,
        0.0559614,
        0.0529244,
        0.0506952,
        0.0485944,
        0.0476888,
        0.0463232,
        0.0457819,
        0.0458282,
        0.0453899,
        0.0443589,
        0.0433006,
        0.0426668,
        0.0422301,
        0.0419652,
        0.0424965,
        0.0421968,
        0.0441069,
        0.0456046,
        0.0456029,
        0.0444528,
        0.042172,
        0.0396137,
        0.0384851,
        0.0373768,
        0.0361735,
        0.035421,
        0.0353624,
        0.0351653,
        0.0349424,
        0.0351845,
        0.0352406,
        0.0357723,
        0.0359559,
        0.0362321,
        0.037226,
        0.0373179,
        0.0373311,
        0.0377145,
        0.0379341,
        0.0391669,
        0.0391484,
        0.0387257,
        0.0392528,
        0.0400153,
        0.0411423,
        0.0417254,
        0.0426971,
        0.0436071,
        0.0446454,
        0.0460159,
        0.0472313,
        0.048732,
        0.0499018,
        0.0520901,
        0.0555874,
        0.0589573,
        0.0637502,
        0.0681664,
        0.0722793,
        0.0815232,
        0.0916154,
        0.102936,
        0.123802,
        0.146432,
        0.188549,
        0.278003,
        0.421404,
        0.260294,
        0.188361,
        0.160871,
        0.142759,
        0.12974,
        0.11815,
        0.10138,
        0.0849852,
        0.0733623,
        0.0674379,
        0.0613552,
        0.0553146,
        0.0515605,
        0.0492475,
        0.0472383,
        0.045143,
        0.0431406,
        0.0429557,
        0.0424026,
        0.0412483,
        0.0402848,
        0.0398919,
        0.0398784,
        0.0393342,
        0.0390863,
        0.0388204,
        0.0375614,
        0.0367403,
        0.0356962,
        0.0342701,
        0.0336415,
        0.0337178,
        0.0335915,
        0.0330795,
        0.032746,
        0.0328291,
        0.0321685,
        0.0321456,
        0.0326997,
        0.0323632,
        0.0321603,
        0.0319905,
        0.0319235,
        0.0307296,
        0.0301325,
        0.0301656,
        0.0302317,
        0.0305685,
        0.030823,
        0.0304889,
        0.0302397,
        0.0306709,
        0.0311854,
        0.031073,
        0.0310745,
        0.0317322,
        0.0320515,
        0.0324124,
        0.0322972,
        0.0328317,
        0.033682,
        0.0339772,
        0.0346993,
        0.0349985,
        0.0351674,
        0.0360509,
        0.0370506,
        0.0378926,
        0.0385073,
        0.0401131,
        0.0402847,
        0.043357,
        0.0447455,
        0.0448851,
        0.0463989,
        0.0480526,
        0.0510376,
        0.0590073,
        0.0649183,
        0.0691247,
        0.0762414,
        0.0820406,
        0.0827983,
        0.0884144,
        0.0970631,
        0.107067,
        0.120973,
        0.155081,
        0.207213,
        0.258344,
        0.213229,
        0.169299,
        0.136723,
        0.109417,
        0.0946717,
        0.081063,
        0.0703393,
        0.0648559,
        0.0627423,
        0.0583928,
        0.053915,
        0.0502746,
        0.0477359,
        0.0460639,
        0.044925,
        0.0443529,
        0.0445384,
        0.043433,
        0.0428059,
        0.0413854,
        0.0406232,
        0.0399386,
        0.0394612,
        0.0380296,
        0.0372598,
        0.0357677,
        0.0350024,
        0.0345453,
        0.034524,
        0.0340948,
        0.0370063,
        0.0371497,
        0.031621,
        0.0322886,
        0.032263,
        0.0308609,
        0.0306847,
        0.031061,
        0.0308616,
        0.0305626,
        0.0304725,
        0.0304731,
        0.0309836,
        0.030939,
        0.0312613,
        0.0320036,
        0.0335152,
        0.0352306,
        0.0365796,
        0.0393496,
        0.0405915,
        0.035192,
        0.0335966,
        0.0323113,
        0.0312428,
        0.0308275,
        0.0310789,
        0.0312231,
        0.0310195,
        0.0344017,
        0.0335785,
        0.0310756,
        0.0312758,
        0.0316355,
        0.0318164,
        0.0327261,
        0.0335573,
        0.0334269,
        0.0340424,
        0.0349132,
        0.0356313,
        0.036457,
        0.0370316,
        0.0377945,
        0.0394185,
        0.0409373,
        0.0418492,
        0.0443346,
        0.0481274,
        0.0518101,
        0.0568064,
        0.0638452,
        0.0723448,
        0.0789517,
        0.0916444,
        0.107415,
        0.129717,
        0.154217,
        0.208268,
        0.284896,
        0.280327,
        0.202675,
        0.147268,
        0.121276,
        0.102903,
        0.0889016,
        0.0821075,
        0.0744549,
        0.0675507,
        0.0651803,
        0.064067,
        0.0636703,
        0.0651051,
        0.0666014,
        0.0673065,
        0.0620761,
        0.057148,
        0.0543365,
        0.0539015,
        0.056197,
        0.057282,
        0.0612194,
        0.0692391,
        0.0821397,
        0.104163,
        0.144306,
        0.206499,
        0.227182,
        0.14327,
        0.103454,
        0.0811097,
        0.0667751,
        0.0563625,
        0.0502391,
        0.0451989,
        0.042512,
        0.0406247,
        0.0379119,
        0.0362639,
        0.0351162,
        0.0341622,
        0.0330571,
        0.0327268,
        0.0324364,
        0.0319981,
        0.0315493,
        0.0319817,
        0.0318961,
        0.0309026,
        0.0319439,
        0.030851,
        0.0329344,
        0.0327132,
        0.030198,
        0.0306264,
        0.0302382,
        0.0306879,
        0.031151,
        0.0321614,
        0.0336174,
        0.0356124,
        0.037821,
        0.0400703,
        0.0416446,
        0.0422926,
        0.0422653,
        0.0411033,
        0.0408617,
        0.0478666,
        0.0486091,
        0.0453103,
        0.0504234,
        0.0544948,
        0.0604734,
        0.0704672,
        0.0879634,
        0.114322,
        0.148429,
        0.191355,
        0.238665,
        0.283935,
        0.290498,
        0.276991,
        0.254566,
        0.234461,
        0.180969,
        0.151949,
        0.13899,
        0.120201,
        0.109886,
        0.102453,
        0.0968826,
        0.0976376,
        0.103632,
        0.1071,
        0.117431,
        0.137885,
        0.170302,
        0.215191,
        0.343749,
        0.214416,
        0.158205,
        0.12314,
        0.0971121,
        0.0859406,
        0.0700691,
        0.0615915,
        0.0562268,
        0.0501674,
        0.0470256,
        0.0442255,
        0.0419241,
        0.0405134,
        0.0384174,
        0.0369813,
        0.0431126,
        0.04095,
        0.0343109,
        0.0334762,
        0.0331079,
        0.0324799,
        0.0321264,
        0.0320141,
        0.0315071,
        0.0310364,
        0.0310767,
        0.0306776,
        0.030277,
        0.0307438,
        0.0302932,
        0.0300875,
        0.0304136,
        0.0299766,
        0.0295031,
        0.0296484,
        0.029481,
        0.0284948,
        0.0280648,
        0.0278614,
        0.0278586,
        0.027792,
        0.0280994,
        0.0284007,
        0.0290817,
        0.0298544,
        0.0303435,
        0.0315032,
        0.0330187,
        0.0352899,
        0.0373779,
        0.0378506,
        0.0371551,
        0.0361241,
        0.0362452,
        0.0366223,
        0.0379112,
        0.0400537,
        0.0409987,
        0.0395461,
        0.0378349,
        0.0367218,
        0.0361777,
        0.0364632,
        0.0369677,
        0.0382312,
        0.038716,
        0.0409289,
        0.0449537,
        0.0496088,
        0.0564999,
        0.0640424,
        0.0869443,
        0.108754,
        0.135358,
        0.169474,
        0.181064,
        0.192403,
        0.2102,
        0.218056,
        0.178765,
        0.145366,
        0.118861,
        0.0983965,
        0.0793265,
        0.0868312,
        0.0766263,
        0.0541714,
        0.0509196,
        0.0476379,
        0.0454652,
        0.0437806,
        0.0435668,
        0.0439566,
        0.0439629,
        0.0446091,
        0.0473273,
        0.0507026,
        0.0541622,
        0.0538247,
        0.0583616,
        0.0657841,
        0.0782674,
        0.0864216,
        0.107351,
        0.14182,
        0.194943,
        0.284418,
        0.318299,
        0.205062,
        0.14642,
        0.116407,
        0.0925977,
        0.0786899,
        0.0675178,
        0.0628597,
        0.0581432,
        0.0496294,
        0.0469211,
        0.0439482,
        0.0414983,
        0.0396892,
        0.0381966,
        0.037617,
        0.0365525,
        0.0364929,
        0.0369728,
        0.0379413,
        0.0387389,
        0.0409035,
        0.0403536,
        0.0386172,
        0.0375353,
        0.0355446,
        0.034322,
        0.0335188,
        0.0332414,
        0.0338724,
        0.0345049,
        0.0357611,
        0.0371328,
        0.0363056,
        0.0347481,
        0.032758,
        0.0315279,
        0.0306021,
        0.0295058,
        0.0286936,
        0.0285232,
        0.0285357,
        0.0280786,
        0.0279131,
        0.0284957,
        0.028935,
        0.0283136,
        0.0280095,
        0.0283496,
        0.0289183,
        0.0293972,
        0.0301196,
        0.0308084,
        0.0310373,
        0.0320878,
        0.0329896,
        0.0340403,
        0.0355959,
        0.0382171,
        0.0412144,
        0.0447474,
        0.0489856,
        0.0551185,
        0.0660752,
        0.0815042,
        0.103757,
        0.131248,
        0.148876,
        0.154333,
        0.164547,
        0.165857,
        0.156028,
        0.137089,
        0.117694,
        0.0996925,
        0.0766587,
        0.0624137,
        0.0565682,
        0.0500981,
        0.046122,
        0.0426113,
        0.0395968,
        0.0376588,
        0.0363896,
        0.0348361,
        0.0341718,
        0.0340999,
        0.0356367,
        0.0352316,
        0.0335386,
        0.0343772,
        0.0355584,
        0.036292,
        0.0357899,
        0.0362713,
        0.0404401,
        0.0437727,
        0.0412251,
        0.0432023,
        0.0461089,
        0.0500469,
        0.0549805,
        0.0630253,
        0.0737531,
        0.0817861,
        0.0914133,
        0.105655,
        0.128069,
        0.158829,
        0.217277,
        0.410213,
        0.281355,
        0.196298,
        0.143393,
        0.108181,
        0.0913086,
        0.080349,
        0.0697086,
        0.0637058,
        0.0614865,
        0.059529,
        0.0630522,
        0.067631,
        0.0755019,
        0.0904776,
        0.117042,
        0.128968,
        0.119012,
        0.103901,
        0.0880046,
        0.0701135,
        0.0584768,
        0.0505158,
        0.0465091,
        0.0425142,
        0.0401742,
        0.0389539,
        0.0383956,
        0.0367617,
        0.0372437,
        0.0379839,
        0.0379496,
        0.0383637,
        0.0379897,
        0.0393502,
        0.0417555,
        0.0436352,
        0.0463354,
        0.0519994,
        0.0580467,
        0.0661144,
        0.0811963,
        0.103053,
        0.141134,
        0.21803,
        0.270213,
        0.189884,
        0.136287,
        0.11694,
        0.107626,
        0.111628,
        0.115639,
        0.126713,
        0.148498,
        0.160595,
        0.156199,
        0.147242,
        0.144579,
        0.147762,
        0.147216,
        0.127994,
        0.113566,
        0.0966641,
        0.0823686,
        0.0735097,
        0.0645253,
        0.0559601,
        0.0507447,
        0.0452793,
        0.0412667,
        0.0387226,
        0.0411603,
        0.0406312,
        0.0354767,
        0.0348666,
        0.0335141,
        0.0328262,
        0.0320909,
        0.031774,
        0.0315975,
        0.0312071,
        0.0320034,
        0.0322101,
        0.0337263,
        0.0340435,
        0.0329882,
        0.0355019,
        0.0339359,
        0.03341,
        0.0337074,
        0.0338749,
        0.0340347,
        0.0336316,
        0.0340822,
        0.0346303,
        0.0354398,
        0.0366279,
        0.0447752,
        0.0466617,
        0.0418544,
        0.0446357,
        0.0482387,
        0.0533152,
        0.0619207,
        0.0732137,
        0.0912438,
        0.11124,
        0.168693,
        0.251813,
        0.318811,
        0.233615,
        0.163441,
        0.125575,
        0.0938664,
        0.0777086,
        0.0682362,
        0.0582599,
        0.0516505,
        0.0476996,
        0.0444407,
        0.0416642,
        0.0387566,
        0.0369787,
        0.0363768,
        0.0351905,
        0.0348489,
        0.0357638,
        0.0355137,
        0.0360865,
        0.0360799,
        0.03542,
        0.0346997,
        0.036303,
        0.0359534,
        0.0342801,
        0.0335607,
        0.0325846,
        0.0325874,
        0.0332631,
        0.0339241,
        0.0348316,
        0.0367467,
        0.0388077,
        0.0383012,
        0.0374536,
        0.0362279,
        0.0350882,
        0.0348966,
        0.0354952,
        0.0369022,
        0.0387896,
        0.040476,
        0.0410763,
        0.0447829,
        0.0500662,
        0.0565793,
        0.0672273,
        0.0836196,
        0.106177,
        0.120806,
        0.115044,
        0.11251,
        0.114883,
        0.121323,
        0.116311,
        0.105337,
        0.0914417,
        0.081001,
        0.0643786,
        0.0528641,
        0.0471216,
        0.0425658,
        0.0387334,
        0.0365895,
        0.0348398,
        0.0329982,
        0.0324974,
        0.0322492,
        0.0318869,
        0.0321703,
        0.0322965,
        0.0324884,
        0.0327139,
        0.0337123,
        0.0363569,
        0.037088,
        0.0364152,
        0.0370374,
        0.0378973,
        0.036654,
        0.0358481,
        0.0353665,
        0.0353744,
        0.0354924,
        0.0349663,
        0.0345704,
        0.0337611,
        0.0336074,
        0.0324522,
        0.0323963,
        0.0327016,
        0.0325141,
        0.0327095,
        0.0328723,
        0.0343311,
        0.0342668,
        0.0352262,
        0.0368367,
        0.0383566,
        0.0404644,
        0.0398328,
        0.0391222,
        0.0390373,
        0.0388682,
        0.0397884,
        0.0418063,
        0.0429762,
        0.0458258,
        0.0506348,
        0.0567934,
        0.0624236,
        0.0717218,
        0.0893366,
        0.119417,
        0.156659,
        0.222613,
        0.376168,
        0.240277,
        0.183963,
        0.125199,
        0.100397,
        0.0792561,
        0.0676332,
        0.0596836,
        0.0513331,
        0.048554,
        0.045114,
        0.0424723,
        0.0396885,
        0.0376897,
        0.0365299,
        0.036349,
        0.0350981,
        0.0337722,
        0.0333067,
        0.0321587,
        0.0316312,
        0.0315035,
        0.0312981,
        0.0310922,
        0.0306216,
        0.031089,
        0.0316427,
        0.0314857,
        0.0316822,
        0.0369036,
        0.0379728,
        0.0373543,
        0.03896,
        0.0370767,
        0.0449745,
        0.0498883,
        0.0490587,
        0.0568963,
        0.0669994,
        0.0826506,
        0.100559,
        0.106608,
        0.0988572,
        0.0968558,
        0.101085,
        0.110315,
        0.10255,
        0.0935929,
        0.080038,
        0.0671332,
        0.0568173,
        0.0510314,
        0.045603,
        0.0411835,
        0.0376592,
        0.0350487,
        0.0325376,
        0.03136,
        0.0299735,
        0.0299468,
        0.0294227,
        0.0278628,
        0.0275042,
        0.0270884,
        0.0265099,
        0.0267779,
        0.0267615,
        0.0259411,
        0.0258781,
        0.025994,
        0.0259316,
        0.027047,
        0.028084,
        0.02731,
        0.0273079,
        0.027493,
        0.0279624,
        0.0288973,
        0.0300052,
        0.0313755,
        0.0334141,
        0.0359129,
        0.0385691,
        0.0411037,
        0.0409976,
        0.0384552,
        0.0393433,
        0.0354028,
        0.0317297,
        0.0302516,
        0.02932,
        0.0288075,
        0.0281854,
        0.0280603,
        0.027922,
        0.0279104,
        0.0300104,
        0.030031,
        0.0290291,
        0.032928,
        0.0357587,
        0.0319525,
        0.0323883,
        0.0331362,
        0.0346536,
        0.0374856,
        0.0387953,
        0.0364317,
        0.0374114,
        0.0451066,
        0.0472096,
        0.0481298,
        0.047501,
        0.0501115,
        0.0576187,
        0.0701397,
        0.0837362,
        0.103661,
        0.142868,
        0.192709,
        0.199365,
        0.141747,
        0.106216,
        0.0861145,
        0.072877,
        0.0629277,
        0.0548089,
        0.0488691,
        0.0457398,
        0.0417444,
        0.0393519,
        0.0380309,
        0.036864,
        0.0365431,
        0.0358537,
        0.0358106,
        0.0359135,
        0.0362708,
        0.0358979,
        0.0365813,
        0.0369368,
        0.0373292,
        0.0395671,
        0.0415798,
        0.0443585,
        0.0474095,
        0.0527782,
        0.0603249,
        0.0750088,
        0.0880858,
        0.0983443,
        0.0957695,
        0.0983913,
        0.0997858,
        0.109981,
        0.10542,
        0.0976103,
        0.0910634,
        0.0794346,
        0.0715453,
        0.0622318,
        0.054847,
        0.0506058,
        0.0484398,
        0.0472647,
        0.0462894,
        0.048417,
        0.049543,
        0.0501372,
        0.051335,
        0.0534335,
        0.0562709,
        0.0618991,
        0.0823318,
        0.0938263,
        0.102189,
        0.150329,
        0.213079,
        0.259784,
        0.162579,
        0.117891,
        0.0894456,
        0.0720796,
        0.0609925,
        0.0529812,
        0.0460533,
        0.0453505,
        0.0435772,
        0.0392667,
        0.036741,
        0.0360946,
        0.0350013,
        0.0343117,
        0.0336804,
        0.0334026,
        0.0335525,
        0.0334716,
        0.0338548,
        0.0334932,
        0.0333203,
        0.0325714,
        0.0312567,
        0.031072,
        0.0300525,
        0.0298403,
        0.0294546,
        0.0287881,
        0.028373,
        0.0335185,
        0.033034,
        0.0276154,
        0.0273552,
        0.0274049,
        0.0275158,
        0.0274979,
        0.0275918,
        0.0279068,
        0.0283661,
        0.0287212,
        0.0288909,
        0.0298235,
        0.0305945,
        0.0315656,
        0.0325062,
        0.0343842,
        0.0360741,
        0.0385377,
        0.0408708,
        0.0449429,
        0.0493153,
        0.0550948,
        0.0662783,
        0.0797444,
        0.101346,
        0.135074,
        0.197384,
        0.201956,
        0.152902,
        0.113219,
        0.104193,
        0.089676,
        0.0693484,
        0.0624171,
        0.0585558,
        0.0552825,
        0.0559857,
        0.0558258,
        0.055912,
        0.05556,
        0.0565639,
        0.0580707,
        0.0588367,
        0.0599803,
        0.0685999,
        0.0762355,
        0.0787663,
        0.0836053,
        0.0882311,
        0.0900781,
        0.0885076,
        0.0850186,
        0.0871076,
        0.0873612,
        0.0878004,
        0.0859287,
        0.0719126,
        0.0628356,
        0.0558495,
        0.049163,
        0.0434944,
        0.0402159,
        0.036902,
        0.0351095,
        0.0337608,
        0.0328884,
        0.0318584,
        0.0310712,
        0.0313809,
        0.0308009,
        0.0317973,
        0.0319856,
        0.032736,
        0.032851,
        0.0321739,
        0.0313616,
        0.029888,
        0.0291736,
        0.0282321,
        0.0279945,
        0.0274281,
        0.0273821,
        0.0314506,
        0.0297158,
        0.0275658,
        0.0277043,
        0.0276181,
        0.0279,
        0.0319821,
        0.0328818,
        0.0293234,
        0.0294193,
        0.0297492,
        0.0295361,
        0.0290083,
        0.0287805,
        0.0280679,
        0.0283447,
        0.0275266,
        0.0264897,
        0.0260397,
        0.0263962,
        0.0266702,
        0.0294299,
        0.0287504,
        0.0260567,
        0.026563,
        0.0263973,
        0.0260511,
        0.0265811,
        0.0266543,
        0.0258303,
        0.0261383,
        0.025949,
        0.0259552,
        0.0258837,
        0.0260951,
        0.0263725,
        0.0265994,
        0.0266451,
        0.0267044,
        0.0268979,
        0.0265373,
        0.02694,
        0.0300275,
        0.0289428,
        0.0287143,
        0.0300615,
        0.0307649,
        0.0320796,
        0.0330315,
        0.033934,
        0.0338858,
        0.0337198,
        0.0329365,
        0.0364902,
        0.0337113,
        0.0332661,
        0.0338041,
        0.0341932,
        0.0363055,
        0.0386253,
        0.0412889,
        0.0436079,
        0.0475472,
        0.0518337,
        0.0576502,
        0.0674852,
        0.0834728,
        0.105702,
        0.125518,
        0.174169,
        0.256573,
        0.23623,
        0.165402,
        0.131228,
        0.103788,
        0.0888245,
        0.0834689,
        0.0831981,
        0.0834214,
        0.088761,
        0.0972452,
        0.104969,
        0.109636,
        0.113541,
        0.108746,
        0.108455,
        0.110308,
        0.111506,
        0.123508,
        0.130475,
        0.128968,
        0.119522,
        0.1085,
        0.0935801,
        0.0802324,
        0.0737924,
        0.0675583,
        0.0615728,
        0.058521,
        0.0511309,
        0.0471582,
        0.0436626,
        0.040594,
        0.0389571,
        0.0364283,
        0.0355106,
        0.0338383,
        0.0327831,
        0.0328428,
        0.0319339,
        0.0319042,
        0.0316254,
        0.0325456,
        0.0335607,
        0.034219,
        0.0347369,
        0.0345623,
        0.0337592,
        0.0319059,
        0.030761,
        0.0302887,
        0.0295993,
        0.0295296,
        0.0298542,
        0.0284706,
        0.0284275,
        0.0284801,
        0.0280406,
        0.0296418,
        0.0296167,
        0.0275786,
        0.0279419,
        0.0280829,
        0.0288359,
        0.0291737,
        0.0296699,
        0.0305716,
        0.032047,
        0.0328526,
        0.033052,
        0.0314965,
        0.0307894,
        0.0295153,
        0.0291425,
        0.0292247,
        0.0290777,
        0.0289703,
        0.0278406,
        0.0280585,
        0.0280838,
        0.0284121,
        0.0282319,
        0.0284668,
        0.0281649,
        0.0286855,
        0.0288482,
        0.0286026,
        0.0282964,
        0.028345,
        0.0289138,
        0.0288403,
        0.0285795,
        0.0283697,
        0.0281207,
        0.028927,
        0.0284477,
        0.0285634,
        0.0306361,
        0.0311451,
        0.0297356,
        0.0298299,
        0.0304257,
        0.0305412,
        0.03046,
        0.0307251,
        0.0302514,
        0.030487,
        0.0304337,
        0.0305154,
        0.0308654,
        0.0312583,
        0.0310723,
        0.0318545,
        0.0328163,
        0.0330721,
        0.0340022,
        0.0358454,
        0.0372789,
        0.0390476,
        0.0416458,
        0.0439258,
        0.0478913,
        0.0518703,
        0.057622,
        0.0653056,
        0.0794774,
        0.0950071,
        0.132406,
        0.168307,
        0.202449,
        0.168283,
        0.146524,
        0.130951,
        0.127009,
        0.121768,
        0.121442,
        0.109878,
        0.092302,
        0.0808272,
        0.0669414,
        0.0591253,
        0.0540846,
        0.0499865,
        0.046367,
        0.0446835,
        0.041938,
        0.0408907,
        0.0410231,
        0.0399447,
        0.0396594,
        0.0383213,
        0.039991,
        0.0397858,
        0.0372423,
        0.0372495,
        0.0360072,
        0.0357747,
        0.035508,
        0.0356482,
        0.0416731,
        0.0399677,
        0.0334371,
        0.0323411,
        0.0320001,
        0.031734,
        0.0310277,
        0.0314307,
        0.0315825,
        0.0310192,
        0.0313796,
        0.0310866,
        0.0317261,
        0.0319212,
        0.0328768,
        0.0328011,
        0.0326219,
        0.0331092,
        0.0331248,
        0.0329808,
        0.0342242,
        0.0353817,
        0.0351441,
        0.0361025,
        0.0375295,
        0.0388044,
        0.0415747,
        0.0416196,
        0.0452191,
        0.0469151,
        0.0512733,
        0.0563035,
        0.0622312,
        0.0715968,
        0.0845824,
        0.104927,
        0.136969,
        0.184506,
        0.277488,
        0.279955,
        0.196022,
        0.139412,
        0.110845,
        0.0900491,
        0.0743285,
        0.0682255,
        0.0572204,
        0.0520212,
        0.0489111,
        0.0451126,
        0.0425664,
        0.0412266,
        0.0395137,
        0.0384357,
        0.0377706,
        0.0363719,
        0.0354885,
        0.0353018,
        0.0347522,
        0.0340477,
        0.0342326,
        0.0340706,
        0.0331876,
        0.0337461,
        0.0336917,
        0.0336724,
        0.0341937,
        0.0355274,
        0.0356603,
        0.0350643,
        0.0356045,
        0.036829,
        0.0374931,
        0.0376976,
        0.039282,
        0.0403318,
        0.0431502,
        0.0488482,
        0.0483381,
        0.0525648,
        0.0562648,
        0.0620706,
        0.0698391,
        0.0833454,
        0.0954556,
        0.111735,
        0.130635,
        0.13966,
        0.154889,
        0.174718,
        0.22404,
        0.307648,
        0.21134,
        0.173433,
        0.133637,
        0.110317,
        0.0929825,
        0.0784805,
        0.0672008,
        0.0616477,
        0.0538224,
        0.0496571,
        0.0457168,
        0.04305,
        0.0418137,
        0.03982,
        0.0386681,
        0.0377575,
        0.0366301,
        0.0356257,
        0.0339669,
        0.0335884,
        0.0336275,
        0.0330985,
        0.0325618,
        0.0320538,
        0.0323209,
        0.0322654,
        0.0307706,
        0.0310933,
        0.0312122,
        0.0308945,
        0.0310321,
        0.0306544,
        0.0303831,
        0.0302691,
        0.0300686,
        0.0300466,
        0.0306201,
        0.030974,
        0.0314323,
        0.0315192,
        0.0314588,
        0.0318111,
        0.0318221,
        0.0321891,
        0.03224,
        0.0325549,
        0.0324014,
        0.032235,
        0.0323826,
        0.0340089,
        0.0327546,
        0.0326649,
        0.0355887,
        0.0318931,
        0.0318714,
        0.0318512,
        0.0314026,
        0.0316778,
        0.0316201,
        0.0319979,
        0.0318149,
        0.0327951,
        0.0327799,
        0.0321098,
        0.0322288,
        0.0320526,
        0.0311421,
        0.0309914,
        0.030922,
        0.0306992,
        0.0304685,
        0.0303337,
        0.029747,
        0.0298457,
        0.0302657,
        0.0294223,
        0.0290997,
        0.0291323,
        0.0294859,
        0.0297371,
        0.0296844,
        0.0294056,
        0.0292042,
        0.0295687,
        0.0292998,
        0.0294586,
        0.0295609,
        0.0298066,
        0.0304082,
        0.0301405,
        0.0308066,
        0.0386506,
        0.039897,
        0.0315014,
        0.0319384,
        0.0313801,
        0.0312655,
        0.0326355,
        0.0333329,
        0.0328801,
        0.0342609,
        0.0351873,
        0.0373407,
        0.0379519,
        0.0403475,
        0.042442,
        0.0427177,
        0.044028,
        0.044109,
        0.045189,
        0.0476277,
        0.0508994,
        0.0535603,
        0.0590928,
        0.0672149,
        0.0730064,
        0.0788526,
        0.0800531,
        0.0775791,
        0.0768155,
        0.0772291,
        0.0748357,
        0.0787475,
        0.0878019,
        0.0892628,
        0.085258,
        0.08557,
        0.0885337,
        0.0857542,
        0.0898479,
        0.100168,
        0.114654,
        0.143508,
        0.172138,
        0.202154,
        0.199773,
        0.171177,
        0.140302,
        0.112223,
        0.0850929,
        0.0752934,
        0.0629482,
        0.0557101,
        0.051139,
        0.0471643,
        0.0438372,
        0.0411285,
        0.0396042,
        0.0390102,
        0.0373118,
        0.0361511,
        0.035578,
        0.0345259,
        0.0341327,
        0.0342433,
        0.0334744,
        0.0330427,
        0.0328044,
        0.032745,
        0.0337161,
        0.0332873,
        0.0340118,
        0.0347668,
        0.0341126,
        0.033481,
        0.0336132,
        0.0357217,
        0.0318006,
        0.0319589,
        0.0316088,
        0.0313834,
        0.0315552,
        0.0315937,
        0.0347083,
        0.035553,
        0.0322848,
        0.0327013,
        0.033553,
        0.0333585,
        0.032817,
        0.0325537,
        0.0329991,
        0.0327144,
        0.0327737,
        0.032831,
        0.0320756,
        0.0320296,
        0.0320125,
        0.0315976,
        0.0309624,
        0.0314465,
        0.0317098,
        0.0322634,
        0.0310106,
        0.0318519,
        0.0313773,
        0.0306137,
        0.0309306,
        0.0309674,
        0.0310692,
        0.0309636,
        0.0311038,
        0.0314283,
        0.0310992,
        0.0311681,
        0.031228,
        0.0304714,
        0.0301862,
        0.0308264,
        0.0311014,
        0.0307817,
        0.0308044,
        0.0316839,
        0.0313044,
        0.0313784,
        0.0313347,
        0.032064,
        0.0328197,
        0.0326167,
        0.0339347,
        0.0354524,
        0.0365471,
        0.0366557,
        0.0382044,
        0.0385082,
        0.038685,
        0.0382701,
        0.0388283,
        0.0378011,
        0.0372604,
        0.0391654,
        0.0393129,
        0.0397808,
        0.0419682,
        0.0428544,
        0.042641,
        0.0433706,
        0.0448542,
        0.0473654,
        0.0501228,
        0.05151,
        0.0544373,
        0.0576432,
        0.0606991,
        0.0683151,
        0.0681413,
        0.0655745,
        0.0663821,
        0.0646351,
        0.0632552,
        0.064582,
        0.0659455,
        0.0714115,
        0.0686368,
        0.0655493,
        0.0621275,
        0.0579925,
        0.0556979,
        0.0518065,
        0.0506576,
        0.0496814,
        0.0478183,
        0.0480576,
        0.0496242,
        0.0491957,
        0.0520215,
        0.0549268,
        0.0589381,
        0.0660995,
        0.0741504,
        0.0858853,
        0.108996,
        0.12826,
        0.146152,
        0.153373,
        0.141032,
        0.118309,
        0.10156,
        0.0849723,
        0.0736393,
        0.0651095,
        0.0568748,
        0.0527534,
        0.0538343,
        0.0540526,
        0.0456917,
        0.0432918,
        0.0412178,
        0.0406164,
        0.0401405,
        0.0398026,
        0.0386699,
        0.0391366,
        0.0420209,
        0.0411439,
        0.0404998,
        0.0392615,
        0.0394622,
        0.0387204,
        0.0388512,
        0.0384133,
        0.0391292,
        0.0371133,
        0.0373928,
        0.0371224,
        0.0371527,
        0.0373741,
        0.0375892,
        0.0378164,
        0.0382151,
        0.0367108,
        0.037295,
        0.0365797,
        0.0377375,
        0.0386825,
        0.0385782,
        0.0380915,
        0.0381075,
        0.0374344,
        0.0378433,
        0.0381629,
        0.0393382,
        0.0384612,
        0.0387136,
        0.0407387,
        0.0397882,
        0.039399,
        0.0394572,
        0.0399325,
        0.0410691,
        0.0412032,
        0.0411959,
        0.0417256,
        0.0420746,
        0.0429196,
        0.0441995,
        0.0455638,
        0.0460098,
        0.0467888,
        0.0485045,
        0.049631,
        null,
        0.0309422,
        0.0318234,
        0.0325252,
        0.0340375,
        0.0362255,
        0.0378753,
        0.0400265,
        0.0433161,
        0.0459522,
        0.047967,
        0.0498251,
        0.0501797,
        0.0494933,
        0.0491122,
        0.0488612,
        0.0495255,
        0.0511654,
        0.0510728,
        0.0507919,
        0.0503243,
        0.0489302,
        0.0448855,
        0.0398021,
        0.0374533,
        0.0354893,
        0.0343944,
        0.0340369,
        0.0336391,
        0.0332352,
        0.0324056,
        0.0312331,
        0.0306184,
        0.0306764,
        0.0305985,
        0.0308335,
        0.0313367,
        0.031456,
        0.0316804,
        0.0317325,
        0.0311981,
        0.0320001,
        0.0314265,
        0.0319746,
        0.0313546,
        0.0317798,
        0.0325097,
        0.0339697,
        0.0365051,
        0.0402085,
        0.0431918,
        0.0462474,
        0.0524898,
        0.0614836,
        0.0716606,
        0.0791683,
        0.0753824,
        0.0645276,
        0.055416,
        0.0478855,
        0.0428988,
        0.0402213,
        0.0371633,
        0.0346546,
        0.033467,
        0.0327433,
        0.0315019,
        0.0311382,
        0.0311572,
        0.0305081,
        0.0302749,
        0.0328894,
        0.0331188,
        0.0299701,
        0.0305235,
        0.0308983,
        0.0305293,
        0.0304606,
        0.0306891,
        0.0314555,
        0.032888,
        0.0334712,
        0.0337235,
        0.0338932,
        0.0336704,
        0.0329667,
        0.0325443,
        0.0316243,
        0.0320682,
        0.0326906,
        0.0321058,
        0.0286677,
        0.028548,
        0.0288113,
        0.0295199,
        0.0298909,
        0.0295533,
        0.0290663,
        0.0282881,
        0.0287237,
        0.0279505,
        0.0269868,
        0.0264249,
        0.0263522,
        0.0262681,
        0.0260937,
        0.0261068,
        0.0260356,
        0.0259462,
        0.0258846,
        0.0259273,
        0.0262224,
        0.0264603,
        0.0270008,
        0.027285,
        0.0277097,
        0.0285301,
        0.0295759,
        0.0305647,
        0.0316742,
        0.0333278,
        0.0359366,
        0.0385799,
        0.0402719,
        0.0406366,
        0.0406848,
        0.0402669,
        0.0394706,
        0.0393307,
        0.0401673,
        0.0419721,
        0.042006,
        0.0417521,
        0.0405162,
        0.0377087,
        0.0357588,
        0.0335538,
        0.0327195,
        0.0322395,
        0.0313821,
        0.0306804,
        0.0296334,
        0.0287061,
        0.0282865,
        0.0276698,
        0.0269185,
        0.0265867,
        0.0264008,
        0.0259242,
        0.0258548,
        0.0259082,
        0.0260198,
        0.0258124,
        0.0256989,
        0.0257121,
        0.0255327,
        0.0257209,
        0.0256575,
        0.0253312,
        0.0255201,
        0.0257879,
        0.0258418,
        0.0256251,
        0.0257952,
        0.0264703,
        0.0268719,
        0.0274469,
        0.0285009,
        0.0292362,
        0.030163,
        0.032379,
        0.0343596,
        0.0405754,
        0.0461541,
        0.0461722,
        0.0516202,
        0.0579906,
        0.0621852,
        0.0614514,
        0.0557377,
        0.0509432,
        0.0466751,
        0.0433453,
        0.0417394,
        0.0410706,
        0.0409216,
        0.0415471,
        0.0406815,
        0.0390719,
        0.0410416,
        0.0393742,
        0.0335034,
        0.0322144,
        0.0313986,
        0.0302981,
        0.0295938,
        0.0289768,
        0.0282195,
        0.0278093,
        0.0268747,
        0.0266035,
        0.0264636,
        0.026171,
        0.0257993,
        0.0254837,
        0.0253935,
        0.0253504,
        0.0250458,
        0.0249525,
        0.0249634,
        0.0248179,
        0.0248583,
        0.0249565,
        0.0249976,
        0.02511,
        0.0249474,
        0.0249557,
        0.0254805,
        0.0256449,
        0.0261726,
        0.0305038,
        0.0302035,
        0.0265026,
        0.0268835,
        0.0275439,
        0.0279632,
        0.0281797,
        0.028862,
        0.0300287,
        0.0310369,
        0.0321556,
        0.0326558,
        0.0341961,
        0.0360929,
        0.0379252,
        0.0408281,
        0.0430399,
        0.0463742,
        0.0480308,
        0.0489031,
        0.0507499,
        0.0517055,
        0.0555707,
        0.0636118,
        0.0677197,
        0.0746988,
        0.0855973,
        0.099456,
        0.125058,
        0.160638,
        0.232404,
        0.274632,
        0.191068,
        0.12368,
        0.0897528,
        0.0734194,
        0.0625851,
        0.0541421,
        0.0488368,
        0.043938,
        0.0408885,
        0.0385447,
        0.036054,
        0.034982,
        0.0337991,
        0.0329933,
        0.0326794,
        0.0324184,
        0.0325116,
        0.032671,
        0.0326578,
        0.032963,
        0.0334136,
        0.032465,
        0.031452,
        0.0316025,
        0.0310847,
        0.0300368,
        0.029882,
        0.0295501,
        0.0293461,
        0.0295534,
        0.0301933,
        0.0309098,
        0.0321092,
        0.0336697,
        0.0353676,
        0.0373586,
        0.0387256,
        0.041384,
        0.0434635,
        0.0458173,
        0.049313,
        0.0542482,
        0.0569284,
        0.0552502,
        0.0497573,
        0.0453395,
        0.0417547,
        0.0379667,
        0.0349406,
        0.0325419,
        0.0307008,
        0.0294037,
        0.0283001,
        0.0272713,
        0.0267424,
        0.0263612,
        0.0255874,
        0.0251641,
        0.0249285,
        0.0245655,
        0.0240988,
        0.0237118,
        0.0237304,
        0.0237006,
        0.0233255,
        0.0246705,
        0.024462,
        0.023078,
        0.0229963,
        0.022904,
        0.0228749,
        0.0229192,
        0.0228332,
        0.0228056,
        0.022745,
        0.0234961,
        0.0234444,
        0.0234217,
        0.0234156,
        0.0235007,
        0.0236062,
        0.0237936,
        0.0238479,
        0.0237819,
        0.0239506,
        0.0242426,
        0.0246429,
        0.024947,
        0.0256544,
        0.026847,
        0.0277879,
        0.0292277,
        0.0309383,
        0.0327023,
        0.0341637,
        0.0347979,
        0.0341197,
        0.0332622,
        0.0332168,
        0.0331093,
        0.0323084,
        0.0326163,
        0.0331219,
        0.0340604,
        0.0340869,
        0.0326303,
        0.0313891,
        0.0302549,
        0.029481,
        0.0291603,
        0.0317961,
        0.032901,
        0.0301364,
        0.0298936,
        0.0288449,
        0.0289073,
        0.0277076,
        0.0260415,
        0.0250546,
        0.0244477,
        0.0241406,
        0.0236173,
        0.0231462,
        0.0229121,
        0.0227778,
        0.0226037,
        0.0254561,
        0.0249225,
        0.0227273,
        0.022678,
        0.0229267,
        0.0231873,
        0.0231669,
        0.0233361,
        0.0235642,
        0.0237853,
        0.0242561,
        0.0246946,
        0.0294273,
        0.0291166,
        0.0269554,
        0.0282394,
        0.0290641,
        0.0304326,
        0.0309592,
        0.0313536,
        0.0321726,
        0.0323161,
        0.0334104,
        0.0343733,
        0.0359601,
        0.0381971,
        0.0413678,
        0.0453618,
        0.048964,
        0.0514363,
        0.050014,
        0.0475972,
        0.0442331,
        0.0493991,
        0.0458448,
        0.0368889,
        0.0366586,
        0.0362274,
        0.0367215,
        0.037123,
        0.0391947,
        0.0413928,
        0.0433205,
        0.0433797,
        0.0422092,
        0.0396387,
        0.0357647,
        0.0324732,
        0.0299019,
        0.0308871,
        0.0314059,
        0.0302333,
        0.0249976,
        0.0243075,
        0.0241331,
        0.0239884,
        0.0231851,
        0.0228305,
        0.0228661,
        0.0227459,
        0.0226722,
        0.0226826,
        0.0225003,
        0.0224911,
        0.0225474,
        0.0222743,
        0.0223478,
        0.0225524,
        0.0227688,
        0.0228682,
        0.0234038,
        0.0238139,
        0.0236528,
        0.024722,
        0.0252569,
        0.0254717,
        0.0257444,
        0.0267343,
        0.0274575,
        0.028524,
        0.030348,
        0.0356521,
        0.0353699,
        0.0331758,
        0.0337711,
        0.0334249,
        0.032974,
        0.0327763,
        0.031766,
        0.030484,
        0.0298523,
        0.0298358,
        0.0296577,
        0.0297169,
        0.0296449,
        0.030547,
        0.0303839,
        0.0293733,
        0.0292701,
        0.0284443,
        0.0269407,
        0.0252775,
        0.0240472,
        0.0236008,
        0.0232976,
        0.0227891,
        0.0222127,
        0.0225363,
        0.0244144,
        0.0228851,
        0.0214298,
        0.0214419,
        0.0215565,
        0.021538,
        0.0212331,
        0.0212042,
        0.0213292,
        0.0210563,
        0.0210278,
        0.0208554,
        0.0212098,
        0.0213282,
        0.0218041,
        0.0224178,
        0.0232315,
        0.0231759,
        0.0237389,
        0.0288257,
        0.0286373,
        0.0236596,
        0.0236669,
        0.0237403,
        0.0227666,
        0.0222169,
        0.0219093,
        0.0218369,
        0.0217147,
        0.0214584,
        0.0213714,
        0.0214316,
        0.0214014,
        0.0214509,
        0.0211646,
        0.0209639,
        0.0209324,
        0.0211537,
        0.0213138,
        0.0214191,
        0.0214996,
        0.0214473,
        0.0213972,
        0.0211311,
        0.0210201,
        0.0213528,
        0.0214363,
        0.0215165,
        0.0215771,
        0.021603,
        0.0214356,
        0.0220649,
        0.0226321,
        0.0223718,
        0.0226652,
        0.0231058,
        0.0237456,
        0.0247438,
        0.0261297,
        0.0279438,
        0.0293974,
        0.0320316,
        0.0346183,
        0.0368841,
        0.0375847,
        0.036717,
        0.0354391,
        0.0337026,
        0.0328678,
        0.032862,
        0.0322763,
        0.0308462,
        0.0290353,
        0.0279045,
        0.0274444,
        0.0269204,
        0.025748,
        0.0254083,
        0.0249518,
        0.0240577,
        0.0237896,
        0.0237201,
        0.0234507,
        0.0230429,
        0.0228751,
        0.022741,
        0.0229557,
        0.0233972,
        0.0234229,
        0.0245406,
        0.0241688,
        0.0246011,
        0.0279148,
        0.0284617,
        0.0252967,
        0.0259452,
        0.0263856,
        0.0276669,
        0.0284465,
        0.0288147,
        0.0289666,
        0.0284009,
        0.0281295,
        0.0275397,
        0.0277318,
        0.0280106,
        0.0286973,
        0.0292895,
        0.0346813,
        0.0340088,
        0.0290734,
        0.0282462,
        0.0268795,
        0.0266474,
        0.0260591,
        0.0257178,
        0.0258183,
        0.0254225,
        0.025405,
        0.0257301,
        0.0258743,
        0.0257606,
        0.0267124,
        0.0281399,
        0.0286272,
        0.028135,
        0.029253,
        0.0303623,
        0.0321412,
        0.0334759,
        0.0358956,
        0.0379579,
        0.0403061,
        0.04346,
        0.0477262,
        0.0564844,
        0.063541,
        0.0737724,
        0.0959974,
        0.129238,
        0.188513,
        0.292488,
        0.30748,
        0.204152,
        0.137221,
        0.0992264,
        0.0755122,
        0.0683552,
        0.0573741,
        0.0506628,
        0.0432688,
        0.0398793,
        0.0373243,
        0.0348021,
        0.0333505,
        0.0322469,
        0.0319231,
        0.0312892,
        0.0312334,
        0.0314423,
        0.0323466,
        0.0331445,
        0.0336661,
        0.0330196,
        0.0312336,
        0.0295834,
        0.0284822,
        0.0273021,
        0.0263426,
        0.0260576,
        0.0255615,
        0.024772,
        0.0240861,
        0.0237827,
        0.0236236,
        0.023491,
        0.0230967,
        0.0228399,
        0.023105,
        0.0235506,
        0.0235925,
        0.0238295,
        0.0243807,
        0.0265645,
        0.0270559,
        0.0281579,
        0.0296056,
        0.0310206,
        0.032228,
        0.0325714,
        0.0309964,
        0.0296359,
        0.0301769,
        0.0272989,
        0.025076,
        0.024119,
        0.0237501,
        0.0235073,
        0.0228348,
        0.0224939,
        0.0224084,
        0.0223535,
        0.0222023,
        0.0220568,
        0.0221925,
        0.0225719,
        0.0225453,
        0.0223363,
        0.0225063,
        0.0230947,
        0.023454,
        0.0238467,
        0.0244583,
        0.0254347,
        0.0285256,
        0.0296877,
        0.0264995,
        0.0258671,
        0.0253607,
        0.0251452,
        0.0247684,
        0.0249474,
        0.0252237,
        0.0252306,
        0.0285758,
        0.0287535,
        0.0252607,
        0.0248119,
        0.0240867,
        0.0233107,
        0.0226923,
        0.0222775,
        0.0222728,
        0.0221677,
        0.0219528,
        0.0243197,
        0.0237707,
        0.0225962,
        0.0241687,
        0.0242082,
        0.0223476,
        0.0225444,
        0.0227472,
        0.0221815,
        0.0219988,
        0.0218755,
        0.024313,
        0.0238488,
        0.0211704,
        0.0210881,
        0.0219283,
        0.0219394,
        0.0209218,
        0.0215501,
        0.0214214,
        0.0216302,
        0.022286,
        0.0232147,
        0.0249573,
        0.025834,
        0.0257078,
        0.0271293,
        0.0280031,
        0.0274941,
        0.026143,
        0.0253902,
        0.0243679,
        0.0234311,
        0.022861,
        0.022571,
        0.0222851,
        0.0219416,
        0.0247753,
        0.0245443,
        0.0211636,
        0.0210507,
        0.0213905,
        0.0213137,
        0.0208084,
        0.0210291,
        0.0208712,
        0.0211907,
        0.0210591,
        0.0208795,
        0.0206688,
        0.0212299,
        0.0210423,
        0.020305,
        0.020217,
        0.0200144,
        0.019919,
        0.0198139,
        0.0199986,
        0.0200537,
        0.0200176,
        0.0203433,
        0.020451,
        0.02056,
        0.021222,
        0.0240327,
        0.022728,
        0.0208446,
        0.0204554,
        0.0200413,
        0.0203862,
        0.0201351,
        0.0199867,
        0.0201561,
        0.0201207,
        0.0202998,
        0.0203292,
        0.0208299,
        0.0209941,
        0.0215092,
        0.0218157,
        0.0224609,
        0.0230503,
        0.0237272,
        0.0248222,
        0.026201,
        0.0274782,
        0.028731,
        0.0294265,
        0.029131,
        0.0281521,
        0.0270331,
        0.0258073,
        0.0247658,
        0.024511,
        0.0242452,
        0.0233886,
        0.0231651,
        0.0229647,
        0.0232082,
        0.0236083,
        0.0247829,
        0.0249586,
        0.0253178,
        0.0261346,
        0.0269978,
        0.0270529,
        0.027725,
        0.0303441,
        0.0306866,
        0.0278546,
        0.0276395,
        0.027156,
        0.0267905,
        0.0280785,
        0.0289593,
        0.0265226,
        0.0263066,
        0.0262092,
        0.0258639,
        0.025138,
        0.0247967,
        0.0244908,
        0.0244615,
        0.0247688,
        0.0249759,
        0.0260589,
        0.0277032,
        0.0281026,
        0.0281157,
        0.0334893,
        0.0329591,
        0.0262154,
        0.0245923,
        0.0235854,
        0.022954,
        0.0224054,
        0.0221503,
        0.021765,
        0.0238259,
        0.0244389,
        0.0215503,
        0.0212659,
        0.0211416,
        0.0212407,
        0.0210445,
        0.0209295,
        0.021042,
        0.0216324,
        0.021687,
        0.0208738,
        0.0210542,
        0.020801,
        0.0207563,
        0.0209343,
        0.0207626,
        0.0205189,
        0.0207169,
        0.0209535,
        0.0209969,
        0.0210256,
        0.0211384,
        0.0215497,
        0.0208695,
        0.020747,
        0.0210696,
        0.0210671,
        0.0209688,
        0.0211075,
        0.0207628,
        0.0209553,
        0.0207333,
        0.0201133,
        0.0200403,
        0.0201303,
        0.0203378,
        0.020158,
        0.0201267,
        0.0202549,
        0.0207308,
        0.0223999,
        0.0233903,
        0.0223668,
        0.0206615,
        0.0205577,
        0.0203761,
        0.0204686,
        0.0208175,
        0.0240599,
        0.0230054,
        0.0203915,
        0.0203365,
        0.0204467,
        0.0203373,
        0.0203015,
        0.0202552,
        0.0203716,
        0.0204995,
        0.0205165,
        0.0210016,
        0.0211514,
        0.0214627,
        0.0210805,
        0.0208574,
        0.0210256,
        0.0211765,
        0.0212111,
        0.0214624,
        0.0215566,
        0.0217312,
        0.024725,
        0.0252207,
        0.0227215,
        0.0224796,
        0.0228699,
        0.0228984,
        0.0236656,
        0.0243668,
        0.0251739,
        0.0262967,
        0.0270697,
        0.0283641,
        0.0300764,
        0.0306807,
        0.0311044,
        0.0309797,
        0.0310449,
        0.0314765,
        0.0312543,
        0.0322603,
        0.0335182,
        0.0357559,
        0.0365631,
        0.0360462,
        0.034189,
        0.0321471,
        0.0300585,
        0.0288067,
        0.027944,
        0.0274197,
        0.0278077,
        0.0276768,
        0.0286224,
        0.0289862,
        0.0271311,
        0.0269387,
        0.0253885,
        0.0246058,
        0.0242367,
        0.0234615,
        0.0231306,
        0.0230447,
        0.0229631,
        0.0225496,
        0.0223964,
        0.0243715,
        0.024562,
        0.0232722,
        0.0228859,
        0.0222972,
        0.0225957,
        0.0225114,
        0.0222487,
        0.0266025,
        0.0320054,
        0.0247809,
        0.02276,
        0.0229475,
        0.0232764,
        0.0237665,
        0.0238142,
        0.0239608,
        0.0238325,
        0.0240817,
        0.0242643,
        0.0246003,
        0.0249228,
        0.02524,
        0.0282512,
        0.0286696,
        0.0256903,
        0.0265148,
        0.0271131,
        0.0275164,
        0.0276912,
        0.0281902,
        0.0290685,
        0.0321624,
        0.035251,
        0.0358582,
        0.0330378,
        0.0355364,
        0.0375928,
        0.0425881,
        0.0440402,
        0.0482797,
        0.0536837,
        0.0630478,
        0.080223,
        0.106828,
        0.153556,
        0.232198,
        0.356237,
        0.311713,
        0.186997,
        0.131574,
        0.098238,
        0.0883331,
        0.0671031,
        0.0531517,
        0.048621,
        0.0433317,
        0.0393223,
        0.037964,
        0.0356935,
        0.0377752,
        0.0362854,
        0.0317386,
        0.0299521,
        0.0315427,
        0.0298289,
        0.0291907,
        0.0283138,
        0.0279124,
        0.0279764,
        0.0279221,
        0.028807,
        0.0293695,
        0.0307293,
        0.0323678,
        0.0326599,
        0.0334441,
        0.0333386,
        0.0311932,
        0.0296639,
        0.0286834,
        0.0278198,
        0.026663,
        0.0262316,
        0.0258288,
        0.0254886,
        0.0256394,
        0.0258786,
        0.0260636,
        0.025635,
        0.02567,
        0.0262337,
        0.0262099,
        0.0264726,
        0.0268177,
        0.0271995,
        0.0283356,
        0.0289673,
        0.0299203,
        0.0306178,
        0.03108,
        0.0307652,
        0.0295661,
        0.0282731,
        0.0273546,
        0.026043,
        0.0253809,
        0.0249279,
        0.0247347,
        0.0247809,
        0.0263833,
        0.0260944,
        0.0238951,
        0.0236038,
        0.0229602,
        0.0226206,
        0.02202,
        0.0232683,
        0.023204,
        0.0217077,
        0.0215456,
        0.0216671,
        0.0215528,
        0.0213283,
        0.0212378,
        0.0212254,
        0.0212165,
        0.0214347,
        0.0211649,
        0.0212064,
        0.022539,
        0.0220176,
        0.0211936,
        0.0209253,
        0.0211089,
        0.0207933,
        0.0210962,
        0.0213928,
        0.0209371,
        0.0209542,
        0.0209958,
        0.0209295,
        0.0210294,
        0.0209917,
        0.0240805,
        0.0238271,
        0.0207275,
        0.0208795,
        0.0210857,
        0.0214971,
        0.0216325,
        0.0211588,
        0.0211453,
        0.0213197,
        0.020921,
        0.0211489,
        0.0227254,
        0.0215443,
        0.0208242,
        0.0216716,
        0.0217999,
        0.020519,
        0.0204306,
        0.0202462,
        0.0202213,
        0.020571,
        0.0205867,
        0.0204043,
        0.0201351,
        0.0203364,
        0.0244585,
        0.02419,
        0.0206665,
        0.0210531,
        0.0213556,
        0.0215185,
        0.0218211,
        0.0222172,
        0.0229217,
        0.0240935,
        0.0255923,
        0.0268252,
        0.0275677,
        0.0275546,
        0.0265957,
        0.0254245,
        0.0242562,
        0.0233953,
        0.0230794,
        0.0223364,
        0.0223482,
        0.0220237,
        0.0214998,
        0.0213755,
        0.0217395,
        0.0217499,
        0.0216989,
        0.0216095,
        0.0214261,
        0.0216113,
        0.0214357,
        0.0213847,
        0.0215594,
        0.0214836,
        0.0215221,
        0.0215799,
        0.0217167,
        0.0247742,
        0.0256722,
        0.0223727,
        0.022325,
        0.0225016,
        0.0222947,
        0.022147,
        0.0224183,
        0.0224888,
        0.0220232,
        0.0243159,
        0.0240123,
        0.0217008,
        0.021809,
        0.0215409,
        0.0217356,
        0.021756,
        0.0219841,
        0.0222232,
        0.0227939,
        0.0231613,
        0.024756,
        0.0246358,
        0.0234096,
        0.0233399,
        0.0242261,
        0.0244574,
        0.0233514,
        0.0237545,
        0.0240631,
        0.0247574,
        0.0256486,
        0.026333,
        0.0271342,
        0.0276258,
        0.0274421,
        0.0262263,
        0.0253385,
        0.0247549,
        0.024513,
        0.0235655,
        0.0231306,
        0.0228311,
        0.0223334,
        0.0222258,
        0.0224751,
        0.022462,
        0.0223046,
        0.0221594,
        0.022331,
        0.0222183,
        0.0223011,
        0.0223555,
        0.022612,
        0.0226177,
        0.0226184,
        0.0224174,
        0.0224199,
        0.0231772,
        0.0232538,
        0.0230123,
        0.0227466,
        0.0227282,
        0.0225382,
        0.0244529,
        0.0235302,
        0.0227024,
        0.0227775,
        0.0226676,
        0.0229672,
        0.023819,
        0.0236275,
        0.0237031,
        0.0241672,
        0.0264931,
        0.0274418,
        0.0259015,
        0.0266943,
        0.0280093,
        0.0296889,
        0.0327462,
        0.0368286,
        0.0414048,
        0.0475033,
        0.0523373,
        0.0588509,
        0.0610323,
        0.0601272,
        0.0550231,
        0.0485987,
        0.0423539,
        0.0374755,
        0.0346957,
        0.0310739,
        0.0308494,
        0.0284603,
        0.0265068,
        0.0255178,
        0.0246942,
        0.0244596,
        0.0242971,
        0.0238789,
        0.0235608,
        0.0234025,
        0.0234603,
        0.0235414,
        0.023243,
        0.0232412,
        0.0240509,
        0.0242469,
        0.0234629,
        0.0233793,
        0.0244774,
        0.024226,
        0.0240933,
        0.0237097,
        0.0235218,
        0.0234453,
        0.023526,
        0.0274425,
        0.0271561,
        0.0232466,
        0.0232638,
        0.0232911,
        0.0232704,
        0.0234987,
        0.0234554,
        0.0235128,
        0.0236967,
        0.0236218,
        0.0232336,
        0.0234126,
        0.023334,
        0.0231923,
        0.0226974,
        0.0229797,
        0.022824,
        0.0227303,
        0.0230109,
        0.0231143,
        0.0235931,
        0.0240096,
        0.0243532,
        0.0248193,
        0.0257239,
        0.0269532,
        0.0286841,
        0.0298738,
        0.0317926,
        0.0331061,
        0.033267,
        0.0323446,
        0.0313417,
        0.0306572,
        0.0297495,
        0.0284946,
        0.0271987,
        0.0264567,
        0.026279,
        0.0259047,
        0.0260305,
        0.0258561,
        0.0256158,
        0.0254813,
        0.0257629,
        0.0259377,
        0.0261564,
        0.0268986,
        0.027757,
        0.0266898,
        0.0267063,
        0.0266655,
        0.0272261,
        0.0274565,
        0.0277193,
        0.0298258,
        0.0336962,
        0.0297488,
        0.0279164,
        0.0277994,
        0.0275926,
        0.0271857,
        0.0269773,
        0.0290419,
        0.0290901,
        0.0270586,
        0.0274641,
        0.0269465,
        0.0269558,
        0.0281941,
        0.0297043,
        0.0309373,
        0.0318937,
        0.0327697,
        0.0333349,
        0.0373555,
        0.0366082,
        0.0305203,
        0.0277813,
        0.026909,
        0.0263914,
        0.0254625,
        0.0249779,
        0.0244327,
        0.0245416,
        0.0243715,
        0.0240291,
        0.0239624,
        0.0241722,
        0.0241652,
        0.0240503,
        0.0243787,
        0.0249009,
        0.0243865,
        0.0244442,
        0.0246041,
        0.0248983,
        0.0252473,
        0.0258201,
        0.0251623,
        0.0256539,
        0.0257463,
        0.025645,
        0.0261857,
        0.0264255,
        0.0266142,
        0.0272769,
        0.0272073,
        0.0272585,
        0.0280173,
        0.0291831,
        0.0289069,
        0.0295666,
        0.0302056,
        0.0309233,
        0.0335018,
        0.0346066,
        0.0332268,
        0.0335141,
        0.0347429,
        0.0362592,
        0.0376301,
        0.0396631,
        0.0416264,
        0.0450605,
        0.0493246,
        0.0521943,
        0.0651075,
        0.0764341,
        0.0800407,
        0.0987417,
        0.124466,
        0.185496,
        0.274965,
        0.335992,
        0.22762,
        0.153667,
        0.110501,
        0.0860084,
        0.0726219,
        0.0654088,
        0.05944,
        0.0572381,
        0.0524673,
        0.0480447,
        0.0475955,
        0.0462168,
        0.0464269,
        0.0452602,
        0.0545351,
        0.0529377,
        0.0529616,
        0.0597525,
        0.0672599,
        0.0799504,
        0.113127,
        0.159313,
        0.253919,
        0.209554,
        0.153073,
        0.106304,
        0.0822781,
        0.0678735,
        0.0698683,
        0.0599459,
        0.0503542,
        0.0455407,
        0.041953,
        0.0400394,
        0.0397092,
        0.0396849,
        0.0393439,
        0.0420562,
        0.0423554,
        0.0425724,
        0.0414855,
        0.0397926,
        0.0375753,
        0.0354841,
        0.0341537,
        0.0331945,
        0.0320641,
        0.0306293,
        0.0307526,
        0.0295445,
        0.0294065,
        0.029148,
        0.0287851,
        0.0288528,
        0.0292155,
        0.029477,
        0.0293264,
        0.0301878,
        0.0292431,
        0.0287686,
        0.0280767,
        0.0274131,
        0.0264844,
        0.0262302,
        0.0260057,
        0.02564,
        0.0253276,
        0.0247869,
        0.0249736,
        0.0251556,
        0.0248977,
        0.0244346,
        0.0243596,
        0.0262686,
        0.0259762,
        0.0244686,
        0.0244794,
        0.0245169,
        0.0247976,
        0.0243634,
        0.0250921,
        0.0254248,
        0.0252488,
        0.0250743,
        0.0253945,
        0.025244,
        0.0249827,
        0.0252885,
        0.0252804,
        0.0253073,
        0.0253803,
        0.0251448,
        0.0251488,
        0.0251331,
        0.0251675,
        0.0253122,
        0.0256294,
        0.0256998,
        0.0256111,
        0.0260124,
        0.0259985,
        0.0259861,
        0.0260981,
        0.0262365,
        0.0271915,
        0.0268282,
        0.0262313,
        0.0261274,
        0.0259364,
        0.0259159,
        0.0259036,
        0.0260779,
        0.0263643,
        0.0263405,
        0.0260329,
        0.0264704,
        0.0260682,
        0.0260639,
        0.0260154,
        0.025345,
        0.0258843,
        0.0256401,
        0.0258588,
        0.0256714,
        0.0255923,
        0.0259425,
        0.0254149,
        0.0256514,
        0.0253713,
        0.0255043,
        0.0280894,
        0.0274313,
        0.0266225,
        0.0268628,
        0.0266497,
        0.0269788,
        0.0275859,
        0.0281224,
        0.0290679,
        0.0296081,
        0.0296809,
        0.0296913,
        0.030545,
        0.0304252,
        0.030736,
        0.0290665,
        0.0288604,
        0.0292852,
        0.0299169,
        0.0301808,
        0.0307576,
        0.0322604,
        0.0345281,
        0.0351662,
        0.0347918,
        0.0338449,
        0.0336799,
        0.0322462,
        0.0306594,
        0.0298575,
        0.0297359,
        0.0295862,
        0.0294165,
        0.0298339,
        0.0298483,
        0.0290741,
        0.0282688,
        0.0286838,
        0.0283574,
        0.0283313,
        0.0278987,
        0.0282533,
        0.0304628,
        0.0302477,
        0.0281231,
        0.0287472,
        0.0287754,
        0.0284234,
        0.0278816,
        0.0279692,
        0.0273675,
        0.0269733,
        0.0269953,
        0.0298154,
        0.0296324,
        0.0263445,
        0.0264314,
        0.0266917,
        0.0267922,
        0.0262832,
        0.0260356,
        0.0261442,
        0.02584,
        0.0257631,
        0.0256005,
        0.0259934,
        0.0258347,
        0.026113,
        0.0264177,
        0.0266907,
        0.0276081,
        0.0283504,
        0.0280859,
        0.0278122,
        0.0282402,
        0.028487,
        0.0284961,
        0.0284105,
        0.0282653,
        0.0278663,
        0.0269387,
        0.0276356,
        0.0275098,
        0.0268993,
        0.0272166,
        0.0269741,
        0.027295,
        0.0274247,
        0.0275934,
        0.0276302,
        0.0270353,
        0.0279156,
        0.0286164,
        0.0283806,
        0.0284197,
        0.0287693,
        0.028945,
        0.0282324,
        0.0285153,
        0.0282467,
        0.028403,
        0.0277994,
        0.0278597,
        0.0278914,
        0.0281771,
        0.0284084,
        0.0277906,
        0.0276532,
        0.028079,
        0.028113,
        0.0280118,
        0.0278783,
        0.0278503,
        0.0279384,
        0.0279744,
        0.0280167,
        0.0277124,
        0.0285561,
        0.027941,
        0.0275476,
        0.027433,
        0.0267883,
        0.02691,
        0.026982,
        0.029574,
        0.0273768,
        0.0267133,
        0.0268453,
        0.0279658,
        0.0291784,
        0.0294099,
        0.02786,
        0.0284865,
        0.0285699,
        0.0290663,
        0.0302757,
        0.0312506,
        0.0325422,
        0.0346414,
        0.0358421,
        0.0345824,
        0.0336463,
        0.0321618,
        0.0315644,
        0.0353631,
        0.0328075,
        0.0304796,
        0.0333445,
        0.0306669,
        0.029194,
        0.0285943,
        0.0298269,
        0.0303804,
        0.0288302,
        0.0288243,
        0.0286839,
        0.0287294,
        0.029184,
        0.0286998,
        0.0285933,
        0.0294593,
        0.0298778,
        0.029154,
        0.0287427,
        0.0292785,
        0.0294158,
        0.0290353,
        0.0290206,
        0.0282267,
        0.0285892,
        0.0293888,
        0.0303921,
        0.0298373,
        0.0299597,
        0.0298669,
        0.0297754,
        0.0299772,
        0.0294354,
        0.028589,
        0.0284641,
        0.0286932,
        0.029115,
        0.0291906,
        0.0289754,
        0.0295207,
        0.0297584,
        0.0297762,
        0.0303896,
        0.0289646,
        0.0291398,
        0.0291583,
        0.0285361,
        0.0295179,
        0.0283514,
        0.0279834,
        0.027566,
        0.0277073,
        0.0285452,
        0.027904,
        0.0275886,
        0.0277273,
        0.0275501,
        0.0277223,
        0.027324,
        0.0276948,
        0.027414,
        0.0275207,
        0.0279516,
        0.0283065,
        0.0279323,
        0.0279978,
        0.0285671,
        0.0286566,
        0.0290486,
        0.0290753,
        0.0282647,
        0.0287783,
        0.0289259,
        0.0288446,
        0.0285801,
        0.0330276,
        0.0326318,
        0.0301549,
        0.0307563,
        0.0306015,
        0.0310823,
        0.0313673,
        0.0309527,
        0.03106,
        0.0329418,
        0.0328378,
        0.0304723,
        0.0302526,
        0.0304791,
        0.0307112,
        0.0303162,
        0.0309739,
        0.0304953,
        0.0300908,
        0.0302142,
        0.0300181,
        0.0305289,
        0.0305147,
        0.0307743,
        0.0305614,
        0.0311383,
        0.031345,
        0.0315391,
        0.0318903,
        0.0322374,
        0.0318348,
        0.0317738,
        0.0331377,
        0.0342896,
        0.0347823,
        0.036832,
        0.0393439,
        0.0404097,
        0.0392595,
        0.0380007,
        0.0353951,
        0.0341396,
        0.0366432,
        0.0364483,
        0.0324399,
        0.0326454,
        0.032672,
        0.0323687,
        0.0332682,
        0.0332405,
        0.0331869,
        0.0336541,
        0.0332181,
        0.0333953,
        0.0341236,
        0.0342268,
        0.0343206,
        0.0351848,
        0.0389685,
        0.0379617,
        0.0374265,
        0.0383216,
        0.0395929,
        0.041039,
        0.042242,
        0.0449941,
        0.0457521,
        0.0484053,
        0.0599201,
        0.0536493,
        0.0555803,
        0.0621022,
        0.0735289,
        0.0837124,
        0.0926983,
        0.120743,
        0.167238,
        0.265332,
        0.425033,
        0.464422,
        0.271706,
        0.203405,
        0.141385,
        0.117643,
        0.107999,
        0.083955,
        0.0723569,
        0.0640787,
        0.058372,
        0.0555094,
        0.0541061,
        0.0486246,
        0.0467386,
        0.0449542,
        0.0440987,
        0.0432084,
        0.041096,
        0.0399262,
        0.0388571,
        0.0380961,
        0.0381643,
        0.0381977,
        0.0378777,
        0.0365972,
        0.0361198,
        0.0365642,
        0.036455,
        0.0348041,
        0.0348323,
        0.0342292,
        0.0348582,
        0.0341947,
        0.0341303,
        0.0331856,
        0.0363478,
        0.0367177,
        0.0335842,
        0.0332943,
        0.0330849,
        0.0341463,
        0.0349025,
        0.0328665,
        0.0340426,
        0.0342357,
        0.0334281,
        0.0333228,
        0.0334556,
        0.0334846,
        0.0334742,
        0.0327255,
        0.0336963,
        0.0332221,
        0.033218,
        0.0329972,
        0.0328898,
        0.0329677,
        0.0325696,
        0.0332465,
        0.033724,
        0.0337727,
        0.0331576,
        0.0338307,
        0.0341647,
        0.0343139,
        0.0350586,
        0.0356976,
        0.0366612,
        0.0378207,
        0.0406253,
        0.0422124,
        0.0423892,
        0.0423816,
        0.0415282,
        0.0409719,
        0.0394369,
        0.038391,
        0.0361228,
        0.0351,
        0.0348218,
        0.0338042,
        0.0341254,
        0.0335361,
        0.0334144,
        0.0331484,
        0.0323816,
        0.0320234,
        0.031471,
        0.0317898,
        0.0315631,
        0.0317255,
        0.031635,
        0.0315975,
        0.0316771,
        0.0329842,
        0.032459,
        0.0324962,
        0.0328418,
        0.0355488,
        0.0361637,
        0.0324879,
        0.0327201,
        0.0326543,
        0.0320347,
        0.0331607,
        0.0356411,
        0.0332346,
        0.0326551,
        0.032739,
        0.032834,
        0.0327493,
        0.0331825,
        0.0325423,
        0.0327835,
        0.0330094,
        0.0338239,
        0.0333837,
        0.0331158,
        0.0353657,
        0.0370678,
        0.0337882,
        0.0345662,
        0.0346148,
        0.0341782,
        0.0341532,
        0.0342335,
        null,
        0.0273929,
        0.0274555,
        0.0278024,
        0.0283139,
        0.0284532,
        0.0292987,
        0.0296207,
        0.0291136,
        0.030739,
        0.0317308,
        0.0318861,
        0.0335913,
        0.0347802,
        0.0350813,
        0.0345221,
        0.0334129,
        0.0322712,
        0.0315183,
        0.0305997,
        0.0297561,
        0.0291669,
        0.028527,
        0.0281272,
        0.0277487,
        0.0271995,
        0.0271942,
        0.0272362,
        0.0268647,
        0.0268592,
        0.026837,
        0.0268501,
        0.0267642,
        0.02669,
        0.0266401,
        0.0268176,
        0.0268862,
        0.0267102,
        0.0266008,
        0.0267552,
        0.0269307,
        0.0267715,
        0.0265974,
        0.0265259,
        0.0265288,
        0.0262178,
        0.0276455,
        0.0289534,
        0.0261589,
        0.026129,
        0.0261512,
        0.0261739,
        0.0260101,
        0.0258892,
        0.025984,
        0.026253,
        0.0261615,
        0.0261533,
        0.026026,
        0.0261235,
        0.0264062,
        0.0266072,
        0.0266818,
        0.0266657,
        0.0265811,
        0.0266952,
        0.0269742,
        0.0270827,
        0.0271951,
        0.0272109,
        0.0273279,
        0.027725,
        0.0278965,
        0.0278803,
        0.0279629,
        0.0283668,
        0.0283388,
        0.0280293,
        0.0276549,
        0.0276594,
        0.0274362,
        0.0273059,
        0.0272873,
        0.0276023,
        0.0273794,
        0.02718,
        0.0299079,
        0.0302063,
        0.0277653,
        0.0273458,
        0.0275431,
        0.0272453,
        0.0270173,
        0.0270965,
        0.0271783,
        0.027452,
        0.0274688,
        0.0272724,
        0.0271815,
        0.027404,
        0.0277513,
        0.0275936,
        0.0281321,
        0.0286181,
        0.0290634,
        0.0295269,
        0.0292886,
        0.0297644,
        0.0303684,
        0.033282,
        0.0344985,
        0.0326378,
        0.0337283,
        0.0355154,
        0.0373566,
        0.0392968,
        0.0422794,
        0.0454349,
        0.0477015,
        0.049719,
        0.0498316,
        0.0504353,
        0.0530414,
        0.0577368,
        0.0664825,
        0.0816483,
        0.104802,
        0.14394,
        0.217741,
        0.256331,
        0.165262,
        0.119257,
        0.0965751,
        0.0778719,
        0.0630376,
        0.0547426,
        0.0483402,
        0.0440193,
        0.0405317,
        0.0381599,
        0.0361735,
        0.034487,
        0.0328736,
        0.0315277,
        0.0308097,
        0.0300729,
        0.0293164,
        0.0289845,
        0.0287292,
        0.0280544,
        0.0275242,
        0.0276716,
        0.0279313,
        0.0268798,
        0.0268077,
        0.0264132,
        0.0261345,
        0.0257111,
        0.0255424,
        0.0254948,
        0.025453,
        0.0254051,
        0.0253565,
        0.0253796,
        0.0252084,
        0.0251137,
        0.0248304,
        0.0247117,
        0.0247279,
        0.0246963,
        0.0248638,
        0.0248836,
        0.0249683,
        0.0251077,
        0.0251459,
        0.0250648,
        0.0251113,
        0.0248492,
        0.0246808,
        0.0266098,
        0.0261543,
        0.0251504,
        0.0251237,
        0.0248192,
        0.0248317,
        0.0250792,
        0.0246911,
        0.0245009,
        0.0247091,
        0.0248151,
        0.0246273,
        0.0245573,
        0.0246695,
        0.0244715,
        0.0243419,
        0.0242682,
        0.0241144,
        0.0248275,
        0.0247217,
        0.0280168,
        0.0280554,
        0.0242377,
        0.0243841,
        0.025474,
        0.0255633,
        0.0243434,
        0.0244309,
        0.0265197,
        0.0261636,
        0.024289,
        0.0244819,
        0.0244914,
        0.0245689,
        0.0245677,
        0.0248981,
        0.0256056,
        0.0267626,
        0.0276364,
        0.0288895,
        0.0291347,
        0.0286689,
        0.0277944,
        0.0271539,
        0.0269369,
        0.0263327,
        0.02909,
        0.0289574,
        0.0252402,
        0.0247789,
        0.02462,
        0.0244294,
        0.0246245,
        0.0246436,
        0.024377,
        0.024361,
        0.0246281,
        0.0243815,
        0.024177,
        0.0244184,
        0.0242974,
        0.0243174,
        0.0239101,
        0.0245974,
        0.0252025,
        0.024537,
        0.0243507,
        0.0243552,
        0.0247697,
        0.0247672,
        0.0247114,
        0.0246505,
        0.0245779,
        0.0242866,
        0.0237641,
        0.0233431,
        0.023379,
        0.0232668,
        0.0236285,
        0.0234874,
        0.0233829,
        0.0231463,
        0.0229504,
        0.0229146,
        0.022991,
        0.0229754,
        0.0230752,
        0.0232252,
        0.0231597,
        0.0230773,
        0.0228718,
        0.023354,
        0.0252257,
        0.0249174,
        0.0237199,
        0.0237991,
        0.0234322,
        0.0234311,
        0.0233325,
        0.0246245,
        0.0246639,
        0.023159,
        0.0231671,
        0.0233155,
        0.0235109,
        0.0236371,
        0.0237256,
        0.0237397,
        0.0239628,
        0.023786,
        0.0234511,
        0.023587,
        0.0237,
        0.0240173,
        0.0243043,
        0.0240824,
        0.0239639,
        0.0240918,
        0.024084,
        0.0244675,
        0.0252544,
        0.0250891,
        0.0243365,
        0.0244998,
        0.0242132,
        0.0287948,
        0.0287088,
        0.0239408,
        0.0238768,
        0.0238417,
        0.0237709,
        0.0236777,
        0.0236414,
        0.0239467,
        0.0237925,
        0.0239219,
        0.0240743,
        0.02416,
        0.0245282,
        0.0247688,
        0.0249316,
        0.0249501,
        0.025879,
        0.0267734,
        0.0273322,
        0.0280659,
        0.0289611,
        0.0303795,
        0.0314678,
        0.0315332,
        0.0317065,
        0.0315881,
        0.0318668,
        0.0328662,
        0.0343942,
        0.0365566,
        0.0400275,
        0.0453142,
        0.0500978,
        0.0604684,
        0.0732987,
        0.0906986,
        0.122784,
        0.15063,
        0.156664,
        0.149362,
        0.120274,
        0.0896489,
        0.0749722,
        0.0632815,
        0.0534936,
        0.0479105,
        0.041406,
        0.0373708,
        0.0350345,
        0.0332168,
        0.0316246,
        0.0305652,
        0.0295947,
        0.0288346,
        0.0279754,
        0.026948,
        0.0262457,
        0.0260809,
        0.0255297,
        0.0255428,
        0.0252362,
        0.0247192,
        0.0245145,
        0.0242932,
        0.0259812,
        0.0261333,
        0.0236098,
        0.0234348,
        0.0234103,
        0.0233892,
        0.0234665,
        0.0234529,
        0.0233642,
        0.0233312,
        0.0234411,
        0.0236097,
        0.0236126,
        0.0232779,
        0.0230654,
        0.0227573,
        0.0225995,
        0.0225626,
        0.0223176,
        0.0223293,
        0.0223383,
        0.022581,
        0.022785,
        0.0227339,
        0.0227512,
        0.023145,
        0.0233886,
        0.0227603,
        0.0228462,
        0.022996,
        0.0230081,
        0.0229454,
        0.0229565,
        0.0229123,
        0.0227911,
        0.022808,
        0.0230468,
        0.0227565,
        0.0227007,
        0.022778,
        0.0230204,
        0.0229277,
        0.0228629,
        0.0228777,
        0.0229422,
        0.0229392,
        0.0230055,
        0.0228387,
        0.0227499,
        0.0230088,
        0.0230966,
        0.0230957,
        0.023085,
        0.0230937,
        0.0231255,
        0.0232438,
        0.023348,
        0.0233284,
        0.0225735,
        0.0225028,
        0.0228583,
        0.0230503,
        0.0228723,
        0.0231319,
        0.0236328,
        0.0240381,
        0.0247247,
        0.0254515,
        0.0252583,
        0.0249955,
        0.024536,
        0.0238483,
        0.0235399,
        0.0229823,
        0.0226013,
        0.0221772,
        0.0221062,
        0.022443,
        0.022511,
        0.0223731,
        0.0221926,
        0.0221536,
        0.0226231,
        0.0241735,
        0.0240163,
        0.022703,
        0.0223914,
        0.0225877,
        0.0222889,
        0.0223398,
        0.0224943,
        0.0228134,
        0.0226524,
        0.0228132,
        0.022747,
        0.0226458,
        0.0227872,
        0.0229655,
        0.0229957,
        0.0230998,
        0.0229088,
        0.023035,
        0.0231577,
        0.0232365,
        0.0235663,
        0.0236221,
        0.023608,
        0.0238039,
        0.0239317,
        0.0238843,
        0.0241935,
        0.0237567,
        0.0236431,
        0.0239612,
        0.0245762,
        0.0249216,
        0.0249526,
        0.0255607,
        0.0260603,
        0.0264077,
        0.0272007,
        0.027307,
        0.0320173,
        0.0319782,
        0.0271401,
        0.0266359,
        0.025992,
        0.0259346,
        0.0251784,
        0.0250335,
        0.0248785,
        0.024792,
        0.0248299,
        0.0245085,
        0.0244593,
        0.0245998,
        0.0250556,
        0.0253255,
        0.0256108,
        0.025652,
        0.0260492,
        0.0265892,
        0.0275554,
        0.0282458,
        0.0285193,
        0.0290222,
        0.0295028,
        0.0299935,
        0.0345792,
        0.0379938,
        0.0399051,
        0.0428126,
        0.0508903,
        0.0625675,
        0.0781475,
        0.102892,
        0.150444,
        0.223998,
        0.293289,
        0.187214,
        0.126234,
        0.0928145,
        0.0732191,
        0.0601265,
        0.0582347,
        0.0507066,
        0.0402177,
        0.0374107,
        0.034429,
        0.0334511,
        0.0321428,
        0.031001,
        0.0300161,
        0.029489,
        0.0289443,
        0.0293566,
        0.0292379,
        0.0289375,
        0.0284886,
        0.0278206,
        0.0265927,
        0.0255504,
        0.0247405,
        0.0241435,
        0.0238692,
        0.023845,
        0.0234432,
        0.0231381,
        0.0229717,
        0.0225624,
        0.0229405,
        0.0228807,
        0.0229638,
        0.0226912,
        0.022888,
        0.0226923,
        0.0226302,
        0.02249,
        0.0226823,
        0.0229181,
        0.0227837,
        0.0226368,
        0.0226261,
        0.0229117,
        0.0266853,
        0.0254723,
        0.0230867,
        0.0229358,
        0.0230911,
        0.0230363,
        0.0233566,
        0.024124,
        0.0241035,
        0.0238846,
        0.0237878,
        0.0235012,
        0.0232954,
        0.0233878,
        0.0231442,
        0.0230483,
        0.0229755,
        0.0229479,
        0.0225379,
        0.0223499,
        0.0224446,
        0.0222602,
        0.0225566,
        0.0223659,
        0.0222801,
        0.0223133,
        0.0228098,
        0.0227042,
        0.0223077,
        0.0220882,
        0.0218489,
        0.0218262,
        0.0216538,
        0.0215615,
        0.0215215,
        0.0217175,
        0.0217025,
        0.0213817,
        0.0213229,
        0.021902,
        0.0218679,
        0.0213335,
        0.0212308,
        0.0213554,
        0.021315,
        0.0213524,
        0.0215526,
        0.0229215,
        0.0225103,
        0.0218428,
        0.0220742,
        0.0220714,
        0.022063,
        0.0220645,
        0.0252448,
        0.0253635,
        0.0221382,
        0.0220032,
        0.0218579,
        0.0219098,
        0.0220049,
        0.0221757,
        0.0251164,
        0.0249674,
        0.0240447,
        0.0245887,
        0.0228453,
        0.023018,
        0.0234682,
        0.0233151,
        0.0229367,
        0.0229381,
        0.0232889,
        0.0232581,
        0.0233479,
        0.0233796,
        0.023334,
        0.0231624,
        0.0231528,
        0.0235063,
        0.0235199,
        0.0235732,
        0.0235585,
        0.0241284,
        0.0248208,
        0.0252149,
        0.0256225,
        0.0254744,
        0.025199,
        0.0246579,
        0.0244033,
        0.0239075,
        0.0233464,
        0.0228635,
        0.022409,
        0.0223538,
        0.0222008,
        0.0220743,
        0.0219736,
        0.0226352,
        0.0225583,
        0.0222022,
        0.0222109,
        0.0226143,
        0.0222002,
        0.0225975,
        0.0224711,
        0.022004,
        0.0220206,
        0.0223359,
        0.0225552,
        0.0223451,
        0.0224293,
        0.0226082,
        0.022714,
        0.0226635,
        0.0228176,
        0.023047,
        0.0229631,
        0.0245044,
        0.0247133,
        0.0231228,
        0.0231402,
        0.0230796,
        0.0232408,
        0.023174,
        0.0234337,
        0.0231482,
        0.024199,
        0.024527,
        0.0235594,
        0.0230905,
        0.0231401,
        0.0236183,
        0.023876,
        0.0232041,
        0.0234272,
        0.0234263,
        0.0234768,
        0.0235846,
        0.023563,
        0.0240447,
        0.0241604,
        0.0241905,
        0.0243018,
        0.0243101,
        0.0245925,
        0.0236508,
        0.0233321,
        0.0229366,
        0.0228327,
        0.0238788,
        0.0229167,
        0.0226665,
        0.0239441,
        0.0237865,
        0.0223801,
        0.0221933,
        0.0221298,
        0.0222104,
        0.0270287,
        0.0266325,
        0.0217504,
        0.0217937,
        0.0217919,
        0.022025,
        0.0218438,
        0.0218452,
        0.0220324,
        0.0218441,
        0.0217811,
        0.0220042,
        0.0219213,
        0.0216899,
        0.0218642,
        0.0220549,
        0.0224455,
        0.0224867,
        0.022301,
        0.02251,
        0.0224481,
        0.0226007,
        0.0232241,
        0.0230338,
        0.022978,
        0.023277,
        0.0231855,
        0.023043,
        0.0230984,
        0.0235916,
        0.0241221,
        0.0241623,
        0.0232372,
        0.0234662,
        0.0237271,
        0.0238847,
        0.0240949,
        0.0240064,
        0.0242652,
        0.0248173,
        0.0250649,
        0.0253552,
        0.0253595,
        0.0258699,
        0.0250712,
        0.0240042,
        0.0235522,
        0.0230996,
        0.0230073,
        0.0228385,
        0.0224949,
        0.0227022,
        0.0224531,
        0.0221627,
        0.0221816,
        0.0218623,
        0.0219046,
        0.0223988,
        0.0226904,
        0.0226379,
        0.0225727,
        0.0224864,
        0.0226413,
        0.0227066,
        0.0234192,
        0.0237512,
        0.0243549,
        0.0249965,
        0.0255227,
        0.0261885,
        0.0268203,
        0.0270824,
        0.0269848,
        0.0263142,
        0.0259047,
        0.0255371,
        0.0249038,
        0.0245535,
        0.0246137,
        0.0240819,
        0.0240245,
        0.023929,
        0.0241867,
        0.0241518,
        0.0245725,
        0.0248462,
        0.0250915,
        0.0251029,
        0.0252702,
        0.0255693,
        0.0256168,
        0.0255177,
        0.025007,
        0.0247341,
        0.0246399,
        0.0243526,
        0.0239434,
        0.0238271,
        0.0238384,
        0.0240397,
        0.0237469,
        0.0234653,
        0.0232444,
        0.0230117,
        0.0237222,
        0.0237061,
        0.0228258,
        0.02263,
        0.0224339,
        0.0241526,
        0.0237274,
        0.022595,
        0.0248197,
        0.0230652,
        0.0220526,
        0.0218463,
        0.0219237,
        0.0216577,
        0.0217309,
        0.0220583,
        0.0217964,
        0.0215993,
        0.0214688,
        0.0221353,
        0.0219488,
        0.0215184,
        0.0218073,
        0.021803,
        0.0219824,
        0.0219825,
        0.0219466,
        0.0235513,
        0.0238209,
        0.0222349,
        0.0226997,
        0.0225369,
        0.0226577,
        0.0226327,
        0.02291,
        0.0228965,
        0.0230119,
        0.0236156,
        0.0238921,
        0.0239505,
        0.0238439,
        0.0236603,
        0.0234929,
        0.0237012,
        0.0235668,
        0.0238999,
        0.0242396,
        0.0244585,
        0.0245877,
        0.0249921,
        0.0253613,
        0.0256327,
        0.0259518,
        0.0269652,
        0.0271831,
        0.0277392,
        0.0282073,
        0.0282497,
        0.028529,
        0.0285521,
        0.0284609,
        0.030195,
        0.0303813,
        0.0307382,
        0.0319503,
        0.0333018,
        0.035039,
        0.0380984,
        0.0426011,
        0.0474944,
        0.053974,
        0.064116,
        0.0805808,
        0.0831376,
        0.0712539,
        0.0649352,
        0.0572955,
        0.050771,
        0.0461969,
        0.0412423,
        0.0376308,
        0.034677,
        0.0324688,
        0.0312073,
        0.0300415,
        0.0289649,
        0.0285287,
        0.0277975,
        0.0273571,
        0.0273699,
        0.0271429,
        0.0269799,
        0.0273945,
        0.0281742,
        0.0287385,
        0.0281885,
        0.0277992,
        0.0273709,
        0.0276029,
        0.0279207,
        0.0292237,
        0.0308508,
        0.0337461,
        0.0375676,
        0.0424094,
        0.0500098,
        0.06092,
        0.0722556,
        0.0915516,
        0.110226,
        0.113643,
        0.0993578,
        0.0839466,
        0.0729364,
        0.0580933,
        0.04712,
        0.0420493,
        0.0378314,
        0.0345779,
        0.032175,
        0.0300635,
        0.028608,
        0.0283775,
        0.0275693,
        0.0269723,
        0.0263138,
        0.0256933,
        0.0290237,
        0.0279039,
        0.0241787,
        0.0237909,
        0.0236327,
        0.0237326,
        0.0235856,
        0.0230968,
        0.0229473,
        0.0253847,
        0.025131,
        0.022351,
        0.0223587,
        0.0223336,
        0.0222778,
        0.022377,
        0.0223139,
        0.0230779,
        0.0231016,
        0.0222119,
        0.0219147,
        0.0221073,
        0.0219765,
        0.0219867,
        0.0225293,
        0.0218526,
        0.0221395,
        0.0222915,
        0.022414,
        0.0222982,
        0.0226587,
        0.0228384,
        0.0226511,
        0.0226873,
        0.0225915,
        0.0227695,
        0.022842,
        0.0230181,
        0.0229997,
        0.0230515,
        0.0234345,
        0.0264384,
        0.0263706,
        0.0233936,
        0.0236758,
        0.0239824,
        0.0247365,
        0.0258475,
        0.025146,
        0.0242713,
        0.0244993,
        0.0238249,
        0.0230406,
        0.0228842,
        0.0226467,
        0.0222924,
        0.022162,
        0.0223135,
        0.0220496,
        0.0227621,
        0.022782,
        0.0219177,
        0.0215586,
        0.0213367,
        0.0215074,
        0.0214099,
        0.0215816,
        0.0214766,
        0.0220136,
        0.021936,
        0.0214288,
        0.0214434,
        0.0216588,
        0.0215597,
        0.0218153,
        0.0215175,
        0.021504,
        0.0215918,
        0.0215645,
        0.0228768,
        0.0228334,
        0.0217835,
        0.0221076,
        0.0220964,
        0.0220147,
        0.0223967,
        0.0223081,
        0.0220976,
        0.0223376,
        0.0223742,
        0.0226172,
        0.0226965,
        0.0227512,
        0.0229617,
        0.0229545,
        0.0228513,
        0.0229178,
        0.0234104,
        0.0232377,
        0.0234786,
        0.0236898,
        0.0235221,
        0.0235509,
        0.0235458,
        0.0234646,
        0.0234522,
        0.0236191,
        0.0231602,
        0.0229139,
        0.0230292,
        0.0231362,
        0.0224623,
        0.0224489,
        0.0227182,
        0.0226157,
        0.0225567,
        0.0225244,
        0.0228021,
        0.0224429,
        0.0222236,
        0.0223013,
        0.0224214,
        0.022408,
        0.0226345,
        0.022243,
        0.0224039,
        0.0225383,
        0.0222772,
        0.0221418,
        0.0230289,
        0.0232307,
        0.0227284,
        0.0245191,
        0.0247807,
        0.023065,
        0.0236956,
        0.0269787,
        0.0274443,
        0.0247864,
        0.0253887,
        0.0261926,
        0.026605,
        0.0271313,
        0.02728,
        0.0274932,
        0.02751,
        0.0274428,
        0.0282185,
        0.0280311,
        0.02842,
        0.028493,
        0.029252,
        0.0302926,
        0.0313844,
        0.0328101,
        0.0346821,
        0.0363233,
        0.0394219,
        0.0435371,
        0.0493324,
        0.0570427,
        0.0661151,
        0.0790416,
        0.0970517,
        0.12386,
        0.159305,
        0.188843,
        0.209258,
        0.183415,
        0.131741,
        0.105432,
        0.0854576,
        0.0705213,
        0.0594928,
        0.0521074,
        0.0461182,
        0.0418623,
        0.0389659,
        0.0363501,
        0.0336289,
        0.0321634,
        0.0303872,
        0.0291506,
        0.0282084,
        0.0273471,
        0.0263653,
        0.0258837,
        0.0254852,
        0.0251033,
        0.0247923,
        0.0240921,
        0.0238986,
        0.0237017,
        0.0234626,
        0.0233321,
        0.0228385,
        0.0228418,
        0.0229488,
        0.0228696,
        0.0226054,
        0.0227674,
        0.0230174,
        0.0230021,
        0.0221913,
        0.0221763,
        0.0223746,
        0.0224421,
        0.0225769,
        0.0226397,
        0.0224471,
        0.0223406,
        0.0239082,
        0.0238174,
        0.0222213,
        0.0225831,
        0.0229667,
        0.0235369,
        0.0228394,
        0.0225638,
        0.0225922,
        0.0226982,
        0.0229065,
        0.0226577,
        0.0227054,
        0.022491,
        0.0225107,
        0.0233403,
        0.0239083,
        0.0237177,
        0.0230534,
        0.0231178,
        0.0231714,
        0.023331,
        0.0233896,
        0.0235041,
        0.0240878,
        0.0242631,
        0.0247261,
        0.0249216,
        0.025284,
        0.0260087,
        0.0267349,
        0.0272802,
        0.0273589,
        0.0271024,
        0.027356,
        0.0271155,
        0.0265042,
        0.0256007,
        0.0250422,
        0.0268174,
        0.0259209,
        0.0240141,
        0.0234193,
        0.023259,
        0.0228307,
        0.022768,
        0.0228047,
        0.0223863,
        0.0223817,
        0.0218965,
        0.0222281,
        0.0218967,
        0.0218394,
        0.0220535,
        0.02204,
        0.0221648,
        0.0217242,
        0.0215999,
        0.0213756,
        0.021532,
        0.0218131,
        0.0218141,
        0.0223537,
        0.0221068,
        0.021768,
        0.0217419,
        0.0219749,
        0.0224778,
        0.0226177,
        0.0221925,
        0.0221879,
        0.022384,
        0.0226402,
        0.0226588,
        0.0228307,
        0.0231943,
        0.0235085,
        0.0240166,
        0.0241675,
        0.024909,
        0.0243079,
        0.0237193,
        0.0243122,
        0.0244652,
        0.0242213,
        0.0235639,
        0.0233884,
        0.0229649,
        0.0228517,
        0.0229157,
        0.0226267,
        0.0222361,
        0.0222463,
        0.0225006,
        0.0225237,
        0.0222792,
        0.0221277,
        0.0222541,
        0.0220495,
        0.0227604,
        0.0230381,
        0.0222483,
        0.0217546,
        0.0218232,
        0.0218454,
        0.0222992,
        0.0220994,
        0.0218415,
        0.0219622,
        0.0217868,
        0.0218818,
        0.0218651,
        0.0219696,
        0.0236256,
        0.0248323,
        0.021764,
        0.0217635,
        0.0219942,
        0.0258995,
        0.0248564,
        0.0228613,
        0.0232947,
        0.0235635,
        0.0236862,
        0.0241746,
        0.0239862,
        0.0232985,
        0.0231754,
        0.0252373,
        0.0245523,
        0.0227703,
        0.0236712,
        0.0236062,
        0.0235907,
        0.0235068,
        0.0231946,
        0.0230013,
        0.0236904,
        0.0241879,
        0.0228703,
        0.0231503,
        0.0232753,
        0.0231959,
        0.0236622,
        0.0234331,
        0.0237124,
        0.0236531,
        0.0236681,
        0.0234595,
        0.0235834,
        0.0234661,
        0.0232965,
        0.0229079,
        0.0229386,
        0.0229081,
        0.0228944,
        0.0249793,
        0.0252522,
        0.0225365,
        0.0226625,
        0.0227588,
        0.0223024,
        0.0226641,
        0.0227084,
        0.0224694,
        0.022488,
        0.022688,
        0.0225499,
        0.0220783,
        0.0220548,
        0.0226549,
        0.0228895,
        0.0226843,
        0.0223107,
        0.0222253,
        0.022283,
        0.0226375,
        0.0260814,
        0.0240841,
        0.0226149,
        0.0226136,
        0.0237709,
        0.0237849,
        0.022934,
        0.0226713,
        0.0228459,
        0.0228452,
        0.0231044,
        0.0232156,
        0.0231578,
        0.0233958,
        0.0233481,
        0.0233672,
        0.0235326,
        0.0232694,
        0.0235976,
        0.0239183,
        0.0239665,
        0.0243331,
        0.0248444,
        0.0249408,
        0.0247432,
        0.0251712,
        0.0255358,
        0.0253549,
        0.0255023,
        0.0255957,
        0.0255308,
        0.0255338,
        0.0252805,
        0.0248098,
        0.0249695,
        0.0247728,
        0.0245542,
        0.0247202,
        0.0243498,
        0.0241425,
        0.0243359,
        0.024108,
        0.0240468,
        0.0239561,
        0.0238387,
        0.0235191,
        0.02381,
        0.023472,
        0.0235756,
        0.0232866,
        0.0234025,
        0.0237169,
        0.0230953,
        0.0232607,
        0.0234738,
        0.023429,
        0.0230915,
        0.0231381,
        0.0232557,
        0.0234179,
        0.0241464,
        0.0234951,
        0.0232033,
        0.0230809,
        0.0235101,
        0.0235495,
        0.023312,
        0.023322,
        0.0230351,
        0.0234322,
        0.0234077,
        0.0236468,
        0.0234162,
        0.0237479,
        0.0239536,
        0.0241114,
        0.0238539,
        0.0240316,
        0.0242925,
        0.0240451,
        0.0241431,
        0.0240924,
        0.0246934,
        0.0246869,
        0.0242172,
        0.0245864,
        0.0243704,
        0.0244464,
        0.0246305,
        0.026014,
        0.0255049,
        0.024874,
        0.0248982,
        0.0252163,
        0.024635,
        0.0248255,
        0.0246273,
        0.0248847,
        0.0250417,
        0.0247961,
        0.0247522,
        0.0247596,
        0.0247123,
        0.024599,
        0.0247581,
        0.0252176,
        0.0251513,
        0.0252269,
        0.02506,
        0.0251594,
        0.0245708,
        0.0248815,
        0.0251358,
        0.0245195,
        0.0243266,
        0.0244055,
        0.0246817,
        0.0247543,
        0.02935,
        0.0290858,
        0.0246097,
        0.024031,
        0.0238067,
        0.0241518,
        0.0241719,
        0.0246562,
        0.0241785,
        0.0243879,
        0.0239573,
        0.0243835,
        0.0245354,
        0.0248902,
        0.0246805,
        0.0246374,
        0.0249731,
        0.0248315,
        0.0247084,
        0.02512,
        0.0259095,
        0.0293042,
        0.0353329,
        0.0304894,
        0.0259408,
        0.0259789,
        0.0261259,
        0.0266281,
        0.0264577,
        0.0268052,
        0.0275759,
        0.0295809,
        0.0293902,
        0.0281012,
        0.028201,
        0.0289325,
        0.0303917,
        0.0306949,
        0.0310392,
        0.0313699,
        0.0313772,
        0.0308985,
        0.0299246,
        0.0295552,
        0.0291843,
        0.0284228,
        0.0281555,
        0.027971,
        0.0278871,
        0.0272911,
        0.0268237,
        0.0265127,
        0.0268283,
        0.0264054,
        0.0256532,
        0.0261325,
        0.0262316,
        0.0254817,
        0.0248148,
        0.0249822,
        0.0249607,
        0.0252629,
        0.0249853,
        0.0251454,
        0.0269089,
        0.0260207,
        0.0247969,
        0.0246758,
        0.0242449,
        0.0244399,
        0.0249014,
        0.0249305,
        0.0250252,
        0.0251732,
        0.024661,
        0.0249275,
        0.0288649,
        0.0296585,
        0.0251522,
        0.0252409,
        0.0248812,
        0.0249641,
        0.0255047,
        0.0256189,
        0.0260347,
        0.0258115,
        0.0255902,
        0.0255856,
        0.0259161,
        0.0260594,
        0.0260561,
        0.0264982,
        0.0291942,
        0.0294713,
        0.0263246,
        0.026458,
        0.0268892,
        0.0263839,
        0.0263849,
        0.0262722,
        0.0264611,
        0.0264187,
        0.0268894,
        0.0268095,
        0.0265404,
        0.0265847,
        0.0265238,
        0.0261851,
        0.0264834,
        0.0279193,
        0.027906,
        0.0266163,
        0.0263435,
        0.0267437,
        0.0264499,
        0.0265972,
        0.0266402,
        0.0266488,
        0.026686,
        0.0267772,
        0.0272706,
        0.0269849,
        0.0269764,
        0.0275847,
        0.0271502,
        0.027201,
        0.0276236,
        0.0287575,
        0.0268326,
        0.0267781,
        0.0267232,
        0.0264275,
        0.0269596,
        0.0269721,
        0.0263165,
        0.0261025,
        0.0267435,
        0.0263185,
        0.0268584,
        0.0267929,
        0.0265975,
        0.0265087,
        0.0265578,
        0.0264073,
        0.0265219,
        0.0269096,
        0.0271673,
        0.0274606,
        0.0273276,
        0.0275705,
        0.027842,
        0.0274954,
        0.0272221,
        0.0273096,
        0.0276441,
        0.0277879,
        0.0276628,
        0.0278596,
        0.0282533,
        0.0291217,
        0.0293041,
        0.02867,
        0.028514,
        0.0287334,
        0.0286017,
        0.0291919,
        0.0295206,
        0.0296434,
        0.0298512,
        0.0301237,
        0.0297597,
        0.0291566,
        0.028938,
        0.0282401,
        0.0287596,
        0.029761,
        0.0287059,
        0.0285591,
        0.0282744,
        0.0285989,
        0.0276357,
        0.0274861,
        0.0276378,
        0.0278033,
        0.0307896,
        0.0293344,
        0.0280096,
        0.0278775,
        0.028173,
        0.028044,
        0.0271895,
        0.027776,
        0.0282475,
        0.0279018,
        0.0287075,
        0.0291828,
        0.0277535,
        0.0274915,
        0.0274229,
        0.0270576,
        0.0276784,
        0.0273441,
        0.0277213,
        0.0275217,
        0.0281218,
        0.0286956,
        0.0292334,
        0.0292801,
        0.0291557,
        0.0294159,
        0.029894,
        0.0301125,
        0.0300219,
        0.0306115,
        0.0308999,
        0.0293859,
        0.0294527,
        0.0291956,
        0.0296092,
        0.029151,
        0.0320916,
        0.0335199,
        0.0301115,
        0.029762,
        0.0301936,
        0.0354059,
        0.0353882,
        0.0311545,
        0.0316952,
        0.0310273,
        0.0307686,
        0.0308228,
        0.0305799,
        0.0308863,
        0.0303386,
        0.0302502,
        0.0344413,
        0.0347424,
        0.0297981,
        0.0299012,
        0.0294737,
        0.0292596,
        0.0289944,
        0.0296475,
        0.0286912,
        0.028711,
        0.0289975,
        0.0290805,
        0.0288417,
        0.031789,
        0.0315649,
        0.028245,
        0.0289165,
        0.0292331,
        0.0284276,
        0.0287112,
        0.0281862,
        0.0281497,
        0.0284907,
        0.0286297,
        0.0287366,
        0.028216,
        0.0279227,
        0.0281139,
        0.0284137,
        0.0297172,
        0.0289466,
        0.0284875,
        0.0283779,
        0.0285823,
        0.0288328,
        0.0288272,
        0.0286929,
        0.0288636,
        0.0288776,
        0.0289952,
        0.0290861,
        0.0290464,
        0.0286693,
        0.0291503,
        0.0299995,
        0.0299657,
        0.0301139,
        0.0300392,
        0.0304461,
        0.0301883,
        0.0302528,
        0.0302083,
        0.0313523,
        0.0308293,
        0.0310272,
        0.0308845,
        0.0309894,
        0.0315451,
        0.0313046,
        0.0319593,
        0.0311609,
        0.0311894,
        0.0319548,
        0.0319781,
        0.0320058,
        0.0322706,
        0.0317656,
        0.0324378,
        0.0372854,
        0.0351044,
        0.0314003,
        0.0310113,
        0.0313495,
        0.0309858,
        0.0316403,
        0.0313144,
        0.0304846,
        0.0307595,
        0.0314091,
        0.031143,
        0.0311084,
        0.0306241,
        0.0310348,
        0.0332495,
        0.033166,
        0.0316668,
        0.0314113,
        0.0331369,
        0.0356384,
        0.0318704,
        0.0326282,
        0.0322438,
        0.03257,
        0.0335307,
        0.0353153,
        0.0406828,
        0.041816,
        0.0389943,
        0.0401739,
        0.0407027,
        0.0399863,
        0.0385147,
        0.0380958,
        0.039029,
        0.0360233,
        0.0351347,
        0.0337254,
        0.0338489,
        0.0338353,
        0.0347223,
        0.0345516,
        0.0357751,
        0.0354698,
        0.0345294,
        0.0348311,
        0.0346493,
        0.0349439,
        0.0358303,
        0.0359207,
        0.0394683,
        0.0400936,
        0.0366808,
        0.0367549,
        0.037871,
        0.0384387,
        0.0401877,
        0.0415133,
        0.0409452,
        0.0430561,
        0.0447142,
        0.045442,
        0.0465704,
        0.0487643,
        0.0509938,
        0.0575687,
        0.0640869,
        0.0749892,
        0.088865,
        0.115292,
        0.132707,
        0.167286,
        0.182533,
        0.196578,
        0.188362,
        0.220116,
        0.238707,
        0.22196,
        0.181064,
        0.163301,
        0.134556,
        0.120437,
        0.124047,
        0.121879,
        0.130093,
        0.151218,
        0.200351,
        0.213404,
        0.205175,
        0.160291,
        0.121931,
        0.10013,
        0.0834898,
        0.0701237,
        0.0656214,
        0.0603405,
        0.0534674,
        0.0515089,
        0.048641,
        0.0466303,
        0.0456798,
        0.0436413,
        0.0419049,
        0.0422885,
        0.0416355,
        0.0410421,
        0.0399073,
        0.0401862,
        0.0404619,
        0.0394378,
        0.0390569,
        0.0385955,
        0.0374628,
        0.0377917,
        0.0370174,
        0.0374445,
        0.0365435,
        0.0365647,
        0.038377,
        0.0390339,
        0.039079,
        0.0379379,
        0.0365267,
        0.035549,
        0.0358675,
        0.0357289,
        0.0351198,
        0.0350807,
        0.0359785,
        0.0352835,
        0.0351502,
        0.0347982,
        0.0343184,
        0.0335464,
        0.0330835,
        0.0330814,
        0.0330747,
        0.0330365,
        0.0331029,
        0.0330647,
        0.0328408,
        0.0332417,
        0.0322711,
        0.0327998,
        0.0325182,
        0.0321928,
        0.0324094,
        0.0320639,
        0.0333812,
        0.0352686,
        0.0322172,
        0.032561,
        0.0318168,
        0.0316479,
        0.0314647,
        0.0318433,
        0.0319966,
        0.0315594,
        0.0321286,
        0.0317664,
        0.0315972,
        0.0312841,
        0.0317425,
        0.0319901,
        0.0319333,
        0.0322555,
        0.0323815,
        0.0329263,
        0.03289,
        0.0328914,
        0.0331186,
        0.0338901,
        0.0330789,
        0.0336535,
        0.0338257,
        0.0333096,
        0.0329773,
        0.0330698,
        0.0332999,
        0.0342195,
        0.0340837,
        0.0346401,
        0.0344314,
        0.0342122,
        0.0336509,
        0.0343731,
        0.0347828,
        0.0346419,
        0.0348111,
        0.0347823,
        0.0350853,
        0.034997,
        0.0342964,
        0.0350117,
        0.0348612,
        0.0354021,
        0.0391637,
        0.0413528,
        0.0362134,
        0.0345048,
        0.0348257,
        0.03586,
        0.035828,
        0.0351433,
        0.0352618,
        0.0349428,
        0.0355333,
        0.0358913,
        0.0361476,
        0.0368864,
        0.0373304,
        0.037361,
        0.0377503,
        0.0376367,
        0.0381028,
        0.0409688,
        0.0423052,
        0.0434065,
        0.0456857,
        0.0477569,
        0.0505221,
        0.0557538,
        0.0628488,
        0.0693698,
        0.0779996,
        0.0808831,
        0.0917777,
        0.0911083,
        0.0777448,
        0.0717182,
        0.0662171,
        0.0620463,
        0.0535007,
        0.0507539,
        0.0483724,
        0.0470058,
        0.0441616,
        0.0432654,
        0.0426577,
        0.0415871,
        0.0404141,
        0.0410503,
        null,
        0.0315746,
        0.0319777,
        0.0318888,
        0.0324508,
        0.0330616,
        0.0331705,
        0.0331216,
        0.0328867,
        0.0327725,
        0.0334712,
        0.0338541,
        0.0342323,
        0.0345035,
        0.0348267,
        0.0349273,
        0.0351685,
        0.0356391,
        0.0363709,
        0.0368887,
        0.0379316,
        0.0393076,
        0.0411685,
        0.0420204,
        0.0425988,
        0.045662,
        0.048715,
        0.0524142,
        0.0591123,
        0.0689208,
        0.0801025,
        0.0905523,
        0.115166,
        0.160783,
        0.24321,
        0.228269,
        0.157455,
        0.115905,
        0.0915964,
        0.0774714,
        0.067602,
        0.0605222,
        0.0598104,
        0.0545319,
        0.047714,
        0.0455147,
        0.0437416,
        0.0426604,
        0.0407194,
        0.0385444,
        0.0374706,
        0.0361612,
        0.0359393,
        0.0348996,
        0.0338646,
        0.033814,
        0.0339551,
        0.0334461,
        0.0330608,
        0.0330834,
        0.0331803,
        0.0328426,
        0.0328805,
        0.0326204,
        0.0371341,
        0.0372863,
        0.0321498,
        0.032743,
        0.0331506,
        0.032982,
        0.0324035,
        0.0327857,
        0.0326964,
        0.032768,
        0.0329875,
        0.0334028,
        0.0341331,
        0.0343805,
        0.0390651,
        0.0387167,
        0.0365084,
        0.0372486,
        0.0380525,
        0.0398348,
        0.0429602,
        0.0487086,
        0.0555128,
        0.0651572,
        0.0774316,
        0.102198,
        0.149508,
        0.222473,
        0.283673,
        0.273767,
        0.198882,
        0.144052,
        0.102941,
        0.0800754,
        0.0644175,
        0.0552937,
        0.0500841,
        0.0457522,
        0.0424842,
        0.0396179,
        0.0374263,
        0.0362569,
        0.0349226,
        0.0335476,
        0.0326487,
        0.0323971,
        0.0314124,
        0.0308568,
        0.030355,
        0.0301567,
        0.0295286,
        0.0290272,
        0.028919,
        0.0288001,
        0.0284272,
        0.0281157,
        0.028151,
        0.0276977,
        0.0277144,
        0.0274511,
        0.0271148,
        0.026899,
        0.0268112,
        0.0265351,
        0.0265715,
        0.0266313,
        0.0265254,
        0.0263336,
        0.0260369,
        0.0260613,
        0.0259044,
        0.0258488,
        0.0255376,
        0.0254726,
        0.025576,
        0.0256676,
        0.0258299,
        0.0254455,
        0.0249991,
        0.0249002,
        0.0247588,
        0.024597,
        0.0244776,
        0.0245638,
        0.0247528,
        0.0244335,
        0.0243046,
        0.0243168,
        0.0244153,
        0.0243105,
        0.0245482,
        0.0243267,
        0.0241392,
        0.0243139,
        0.0241817,
        0.0242216,
        0.0244539,
        0.0244537,
        0.0245019,
        0.0246002,
        0.0247769,
        0.0248201,
        0.0248019,
        0.0249006,
        0.024978,
        0.025163,
        0.0251098,
        0.0250646,
        0.0247356,
        0.024733,
        0.0277162,
        0.0277905,
        0.025289,
        0.0254195,
        0.0254928,
        0.0254905,
        0.0254705,
        0.0289084,
        0.028531,
        0.024648,
        0.0246159,
        0.0261749,
        0.0262593,
        0.0249586,
        0.0247643,
        0.0245507,
        0.0243653,
        0.0244746,
        0.0247528,
        0.024897,
        0.02505,
        0.0248216,
        0.0247022,
        0.0247704,
        0.0244105,
        0.0245264,
        0.0246608,
        0.0245429,
        0.0244755,
        0.0244041,
        0.0244816,
        0.0245156,
        0.0250597,
        0.0254548,
        0.0252828,
        0.0253982,
        0.0255223,
        0.0251984,
        0.0249729,
        0.0263176,
        0.0260058,
        0.0242967,
        0.0245968,
        0.0248006,
        0.0246979,
        0.025159,
        0.0257119,
        0.0260335,
        0.0264566,
        0.0307141,
        0.0305418,
        0.0261651,
        0.0274226,
        0.0269297,
        0.0294926,
        0.0291902,
        0.0245141,
        0.0243138,
        0.0241363,
        0.0239141,
        0.0238387,
        0.0241173,
        0.0239733,
        0.0239276,
        0.0239999,
        0.0243074,
        0.0244278,
        0.0242121,
        0.0240662,
        0.0240453,
        0.0237723,
        0.0238588,
        0.0236881,
        0.0234881,
        0.0236218,
        0.0234942,
        0.0233776,
        0.0261134,
        0.0257035,
        0.0231222,
        0.023352,
        0.0232188,
        0.0232307,
        0.0230646,
        0.0229311,
        0.0227448,
        0.0233731,
        0.0237366,
        0.0234937,
        0.0233903,
        0.0231179,
        0.022828,
        0.0226303,
        0.022489,
        0.0225388,
        0.0226632,
        0.0228784,
        0.0230008,
        0.023053,
        0.0230258,
        0.0231511,
        0.0232255,
        0.025928,
        0.026181,
        0.0236701,
        0.0238764,
        0.0237201,
        0.0237324,
        0.0237379,
        0.0232909,
        0.0233088,
        0.0232066,
        0.0232753,
        0.0232201,
        0.0233742,
        0.0234174,
        0.0236245,
        0.0235999,
        0.0236727,
        0.0235584,
        0.0234579,
        0.0235233,
        0.0235535,
        0.023602,
        0.0240067,
        0.0234683,
        0.023443,
        0.0231288,
        0.0228767,
        0.0230327,
        0.0232413,
        0.0236202,
        0.024194,
        0.0246106,
        0.0242533,
        0.0238566,
        0.0235349,
        0.0232177,
        0.023336,
        0.0231704,
        0.0226641,
        0.0235493,
        0.0231047,
        0.0226954,
        0.0224692,
        0.0223155,
        0.0222507,
        0.0222848,
        0.0224322,
        0.0222303,
        0.0221948,
        0.0220689,
        0.022099,
        0.0223526,
        0.0225186,
        0.02249,
        0.0223943,
        0.0225431,
        0.0229959,
        0.022665,
        0.022311,
        0.0225975,
        0.0228171,
        0.0227298,
        0.0228135,
        0.0228483,
        0.02334,
        0.0235326,
        0.0235386,
        0.0240252,
        0.0246008,
        0.0249393,
        0.025081,
        0.02497,
        0.0246898,
        0.0247062,
        0.0236513,
        0.0234507,
        0.02301,
        0.0232188,
        0.027989,
        0.0280538,
        0.0231853,
        0.0229363,
        0.0255382,
        0.0256059,
        0.0229868,
        0.023614,
        0.0241312,
        0.0244005,
        0.0240021,
        0.0236879,
        0.0234776,
        0.0230158,
        0.0235646,
        0.0237956,
        0.0230789,
        0.0229763,
        0.0228158,
        0.0227594,
        0.0225767,
        0.0227773,
        0.0231162,
        0.0246839,
        0.0244687,
        0.0234279,
        0.0230625,
        0.0228934,
        0.0225959,
        0.0226413,
        0.0227505,
        0.0222753,
        0.0224106,
        0.0223521,
        0.0223224,
        0.0222867,
        0.0226401,
        0.0228051,
        0.0227472,
        0.0231138,
        0.02321,
        0.0242159,
        0.0244197,
        0.023252,
        0.0234102,
        0.0237756,
        0.0242542,
        0.0233197,
        0.0227499,
        0.0227058,
        0.0225135,
        0.0244346,
        0.0238584,
        0.0226464,
        0.0228021,
        0.0227485,
        0.0227357,
        0.0228693,
        0.0229343,
        0.0225837,
        0.0224402,
        0.0222712,
        0.0225096,
        0.0224571,
        0.0228024,
        0.0234898,
        0.0244462,
        0.029248,
        0.0289299,
        0.0241577,
        0.0233838,
        0.0227136,
        0.022701,
        0.0234477,
        0.0240792,
        0.024361,
        0.0242885,
        0.0235665,
        0.0226979,
        0.0224082,
        0.0227852,
        0.0236464,
        0.0238024,
        0.0237077,
        0.0230455,
        0.0230387,
        0.0228486,
        0.0258639,
        0.025691,
        0.0229759,
        0.0225735,
        0.0225882,
        0.0223955,
        0.0227228,
        0.0229449,
        0.0237032,
        0.0238222,
        0.0232459,
        0.0227963,
        0.023459,
        0.0231137,
        0.0224868,
        0.0230119,
        0.0238306,
        0.0236376,
        0.0232371,
        0.0234275,
        0.0233935,
        0.0232375,
        0.0234151,
        0.023632,
        0.0230892,
        0.0235314,
        0.0235185,
        0.0232807,
        0.0236057,
        0.0239423,
        0.0243636,
        0.0257842,
        0.0265011,
        0.0253103,
        0.0249448,
        0.0240424,
        0.0239675,
        0.0243426,
        0.0251541,
        0.0264286,
        0.0261944,
        0.0258158,
        0.0254324,
        0.0245925,
        0.024211,
        0.0243203,
        0.0241396,
        0.0240687,
        0.0244737,
        0.024393,
        0.0249374,
        0.0253433,
        0.025472,
        0.0257587,
        0.0256687,
        0.0262814,
        0.0273562,
        0.0291654,
        0.0317228,
        0.0339628,
        0.0378835,
        0.0408705,
        0.0395011,
        0.041419,
        0.0454028,
        0.0492924,
        0.0535843,
        0.0629684,
        0.0736085,
        0.0885862,
        0.124812,
        0.186826,
        0.302514,
        0.397048,
        0.240664,
        0.152097,
        0.1072,
        0.0781082,
        0.0654908,
        0.0576677,
        0.0500679,
        0.0447683,
        0.0408462,
        0.0383325,
        0.0360265,
        0.0342329,
        0.0332643,
        0.0330165,
        0.032744,
        0.0329765,
        0.0349077,
        0.0340684,
        0.0302198,
        0.0285201,
        0.0271912,
        0.0258198,
        0.025236,
        0.025154,
        0.0255874,
        0.0253859,
        0.0245663,
        0.0238206,
        0.0237486,
        0.0235551,
        0.0238264,
        0.0247121,
        0.0252804,
        0.025123,
        0.0241517,
        0.0233727,
        0.0226211,
        0.0222064,
        0.0217772,
        0.0220909,
        0.0219523,
        0.0222557,
        0.0225518,
        0.0228073,
        0.0231976,
        0.0231251,
        0.0231877,
        0.022819,
        0.0229239,
        0.0231845,
        0.0231651,
        0.0233156,
        0.023207,
        0.0231164,
        0.0227685,
        0.0230466,
        0.0234385,
        0.0245585,
        0.0254798,
        0.0247188,
        0.0242949,
        0.0244208,
        0.02465,
        0.0259586,
        0.0274653,
        0.0309157,
        0.029685,
        0.0273587,
        0.0274833,
        0.02829,
        0.0291864,
        0.0298025,
        0.0297296,
        0.0301325,
        0.0301617,
        0.0295812,
        0.0295326,
        0.0290822,
        0.0279867,
        0.0276072,
        0.0268823,
        0.0253655,
        0.0238342,
        0.0229496,
        0.0225827,
        0.0222909,
        0.0222972,
        0.0250702,
        0.0255118,
        0.0235143,
        0.0244414,
        0.0242712,
        0.0233696,
        0.0227573,
        0.0220081,
        0.0216008,
        0.0217186,
        0.0220818,
        0.0222064,
        0.0216454,
        0.0217671,
        0.0222839,
        0.0229838,
        0.0240819,
        0.0251334,
        0.0233798,
        0.0225514,
        0.0220818,
        0.0219591,
        0.0223936,
        0.0235141,
        0.0234876,
        0.0234724,
        0.0229624,
        0.0229542,
        0.0239031,
        0.0250905,
        0.0248584,
        0.0254343,
        0.0265124,
        0.0276053,
        0.0269108,
        0.0240323,
        0.0228756,
        0.0223944,
        0.0223877,
        0.022574,
        0.0221006,
        0.0217013,
        0.0219735,
        0.0221885,
        0.0225998,
        0.0229061,
        0.0226738,
        0.0219775,
        0.0218759,
        0.0216326,
        0.0212948,
        0.0216952,
        0.0219376,
        0.0212855,
        0.0213692,
        0.0215954,
        0.0221745,
        0.0230498,
        0.0237618,
        0.0238721,
        0.023282,
        0.0234446,
        0.0239283,
        0.0238212,
        0.023087,
        0.0231582,
        0.0244846,
        0.0297753,
        0.0326688,
        0.0312592,
        0.0305254,
        0.0281826,
        0.0270215,
        0.0270125,
        0.0281437,
        0.0292105,
        0.0270332,
        0.0249531,
        0.0249075,
        0.024703,
        0.0250671,
        0.0262673,
        0.0286014,
        0.0299798,
        0.0284681,
        0.0257441,
        0.0239801,
        0.0232173,
        0.0227945,
        0.0225573,
        0.0223902,
        0.0222473,
        0.0223451,
        0.0223341,
        0.0224976,
        0.0227178,
        0.0232258,
        0.0242628,
        0.0247751,
        0.0259809,
        0.0282082,
        0.0283379,
        0.0275263,
        0.0264162,
        0.0261769,
        0.026929,
        0.0281767,
        0.0287751,
        0.0281331,
        0.0266892,
        0.0261891,
        0.0259417,
        0.0263052,
        0.0270502,
        0.0281507,
        0.0302489,
        0.0332664,
        0.0362317,
        0.0424559,
        0.0501958,
        0.0597726,
        0.0671828,
        0.0750952,
        0.0804576,
        0.0834378,
        0.0905515,
        0.0946082,
        0.096844,
        0.105834,
        0.114496,
        0.130108,
        0.120034,
        0.10523,
        0.100965,
        0.0883771,
        0.0822934,
        0.0804867,
        0.0763472,
        0.0736838,
        0.0722179,
        0.0679263,
        0.0684456,
        0.0719648,
        0.0765185,
        0.0796832,
        0.0763575,
        0.0743388,
        0.0752974,
        0.0829265,
        0.08014,
        0.0734487,
        0.0603327,
        0.0566303,
        0.0560917,
        0.0554063,
        0.0577509,
        0.0567205,
        0.0530294,
        0.0553799,
        0.0567038,
        0.0571045,
        0.0540584,
        0.0493724,
        0.0473189,
        0.0450357,
        0.042664,
        0.0445287,
        0.0507377,
        0.0552547,
        0.0564952,
        0.056091,
        0.0522565,
        0.0474244,
        0.0473975,
        0.0452282,
        0.0403953,
        0.0370404,
        0.0355527,
        0.0348064,
        0.0382954,
        0.0377332,
        0.0331133,
        0.0346236,
        0.035959,
        0.0368488,
        0.0390315,
        0.0413291,
        0.0434967,
        0.0429209,
        0.0412888,
        0.0399151,
        0.0392453,
        0.0411396,
        0.0425087,
        0.0451674,
        0.0455831,
        0.0422656,
        0.0377244,
        0.0335988,
        0.0320171,
        0.0318264,
        0.0323335,
        0.0319283,
        0.0300233,
        0.0292049,
        0.0291172,
        0.0286571,
        0.0284653,
        0.0288726,
        0.0289504,
        0.0292922,
        0.0304164,
        0.0301548,
        0.029235,
        0.0283174,
        0.0282118,
        0.0293579,
        0.0313265,
        0.0316846,
        0.0300849,
        0.0285461,
        0.0275236,
        0.0264912,
        0.0294684,
        0.0305077,
        0.0317704,
        0.0332667,
        0.031792,
        0.0303287,
        0.0282952,
        0.0264201,
        0.0267183,
        0.0275645,
        0.0270863,
        0.0281568,
        0.0293175,
        0.0294363,
        0.0301158,
        0.0307819,
        0.0297297,
        0.0281358,
        0.0265725,
        0.0252083,
        0.0252628,
        0.0263877,
        0.0285209,
        0.0299438,
        0.0298764,
        0.028808,
        0.0269033,
        0.0253366,
        0.0249521,
        0.0246369,
        0.0252991,
        0.0253084,
        0.0249426,
        0.0241499,
        0.0237381,
        0.024131,
        0.0243864,
        0.0263706,
        0.030574,
        0.0348336,
        0.0379084,
        0.0390417,
        0.037163,
        0.0331863,
        0.032753,
        0.0317751,
        0.032561,
        0.0367097,
        0.0388811,
        0.036122,
        0.0311273,
        0.0277295,
        0.0256677,
        0.0246338,
        0.0243959,
        0.0240912,
        0.0240986,
        0.0243636,
        0.0260322,
        0.0296909,
        0.0329501,
        0.0328112,
        0.0296649,
        0.027434,
        0.0261273,
        0.0261318,
        0.0284898,
        0.02859,
        0.0263707,
        0.025292,
        0.0248758,
        0.0248971,
        0.0247663,
        0.0252467,
        0.0254872,
        0.0301193,
        0.0330201,
        0.0323628,
        0.0323011,
        0.0293593,
        0.0263525,
        0.0246309,
        0.0234196,
        0.0229286,
        0.0229096,
        0.0227862,
        0.0232796,
        0.0240748,
        0.02407,
        0.0246043,
        0.0258635,
        0.0290341,
        0.0340924,
        0.0390717,
        0.0366446,
        0.0314077,
        0.0283958,
        0.0259758,
        0.0248911,
        0.0248854,
        0.024963,
        0.0250214,
        0.0254897,
        0.02905,
        0.0302397,
        0.0274524,
        0.0301085,
        0.0331703,
        0.0333914,
        0.0336615,
        0.0333075,
        0.0356879,
        0.0415435,
        0.0461331,
        0.0470088,
        0.0422857,
        0.0401489,
        0.0407687,
        0.0442864,
        0.0572037,
        0.0698531,
        0.0704678,
        0.0682287,
        0.0702569,
        0.0776079,
        0.0930546,
        0.110859,
        0.153975,
        0.254392,
        0.169826,
        0.124445,
        0.0925594,
        0.0747934,
        0.0646939,
        0.0554769,
        0.0486218,
        0.0489225,
        0.0481746,
        0.0532609,
        0.0519316,
        0.0457423,
        0.0394804,
        0.034671,
        0.0320033,
        0.031379,
        0.0317923,
        0.0332313,
        0.036504,
        0.0376095,
        0.0371712,
        0.0370323,
        0.0382646,
        0.0390343,
        0.0394999,
        0.0391254,
        0.0379497,
        0.0352816,
        0.0337302,
        0.0341188,
        0.0373457,
        0.0390576,
        0.0371746,
        0.0327675,
        0.0297813,
        0.0273997,
        0.0262982,
        0.025548,
        0.0249646,
        0.0251059,
        0.0243423,
        0.0247112,
        0.024394,
        0.0245969,
        0.024437,
        0.0244817,
        0.0244343,
        0.0239707,
        0.0239162,
        0.0238464,
        0.0238582,
        0.0238976,
        0.0243232,
        0.0248202,
        0.0262632,
        0.0295214,
        0.0346945,
        0.0356534,
        0.0326253,
        0.0313442,
        0.0331022,
        0.0346469,
        0.0335893,
        0.0302696,
        0.0274394,
        0.025442,
        0.0247885,
        0.0244671,
        0.0242429,
        0.0249718,
        0.0275593,
        0.0350765,
        0.0522147,
        0.0639886,
        0.0541881,
        0.0537482,
        0.0489782,
        0.0412583,
        0.0356732,
        0.0363626,
        0.0412341,
        0.0425088,
        0.042282,
        0.0425145,
        0.0397211,
        0.0340899,
        0.0295423,
        0.0268094,
        0.024651,
        0.0238668,
        0.0241732,
        0.0238751,
        0.0238663,
        0.0237417,
        0.0234738,
        0.0230914,
        0.0230436,
        0.0230387,
        0.0229762,
        0.0230891,
        0.0238758,
        0.024622,
        0.0230778,
        0.0230471,
        0.0231123,
        0.0231568,
        0.0231633,
        0.0230246,
        0.0231309,
        0.0239451,
        0.0253631,
        0.0283005,
        0.0319066,
        0.0326918,
        0.0307366,
        0.0272051,
        0.0248022,
        0.0240438,
        0.0233469,
        0.0232891,
        0.0261198,
        0.0274185,
        0.0256712,
        0.0259156,
        0.0270463,
        0.0303389,
        0.0362847,
        0.0457556,
        0.0526068,
        0.0532567,
        0.0479629,
        0.0409924,
        0.0340835,
        0.0312831,
        0.0284133,
        0.0250148,
        0.0233087,
        0.022653,
        0.0226108,
        0.0225686,
        0.0224544,
        0.0224569,
        0.0229632,
        0.0223749,
        0.0216495,
        0.0217368,
        0.0215318,
        0.0213808,
        0.0214218,
        0.0218951,
        0.0219168,
        0.0218733,
        0.0220481,
        0.024474,
        0.0248515,
        0.0221587,
        0.0225755,
        0.0226109,
        0.0228334,
        0.023877,
        0.0260257,
        0.0311173,
        0.0390026,
        0.048067,
        0.0506394,
        0.0424038,
        0.0347505,
        0.0306909,
        0.0288751,
        0.0313056,
        0.0363578,
        0.0433868,
        0.0416712,
        0.0362936,
        0.0318132,
        0.0284739,
        0.0266715,
        0.025906,
        0.026252,
        0.0279021,
        0.031962,
        0.0399753,
        0.0519144,
        0.0540386,
        0.0474894,
        0.0417737,
        0.041025,
        0.0414079,
        0.0379178,
        0.033225,
        0.0306241,
        0.0299679,
        0.0327155,
        0.0351503,
        0.0339229,
        0.0308541,
        0.0282047,
        0.0265312,
        0.0270586,
        0.0309595,
        0.0355011,
        0.0370821,
        0.0338955,
        0.0298361,
        0.0283909,
        0.0289414,
        0.028998,
        0.0282665,
        0.0278997,
        0.0272187,
        0.0263891,
        0.0257358,
        0.0252279,
        0.0245874,
        0.0240977,
        0.0236935,
        0.0236594,
        0.0246514,
        0.025882,
        0.0228115,
        0.0229183,
        0.0227802,
        0.0226436,
        0.0227645,
        0.0243209,
        0.0254207,
        0.0252118,
        0.0255996,
        0.0253154,
        0.0249349,
        0.02479,
        0.0238061,
        0.0237138,
        0.0235047,
        0.0245753,
        0.0269951,
        0.0312337,
        0.0366106,
        0.0380027,
        0.0400442,
        0.0382544,
        0.0340928,
        0.0299613,
        0.0273931,
        0.0257847,
        0.025548,
        0.0261168,
        0.0292871,
        0.0338121,
        0.0360906,
        0.0340415,
        0.031055,
        0.0299742,
        0.0313899,
        0.0378609,
        0.0484342,
        0.0564903,
        0.0516324,
        0.0409338,
        0.0330346,
        0.0285889,
        0.0259455,
        0.0243373,
        0.0247632,
        0.0247717,
        0.0232413,
        0.0231834,
        0.0232051,
        0.0231382,
        0.0232513,
        0.0234141,
        0.0236504,
        0.0238812,
        0.0237915,
        0.0240537,
        0.0249178,
        0.0253748,
        0.0272812,
        0.0310217,
        0.0384397,
        0.0501126,
        0.0545043,
        0.0500596,
        0.0413429,
        0.0362336,
        0.0324859,
        0.0308836,
        0.0307517,
        0.0318828,
        0.0362009,
        0.0428962,
        0.0481496,
        0.0523294,
        0.0569786,
        0.0694774,
        0.0734133,
        0.0658425,
        0.0590187,
        0.052012,
        0.0486375,
        0.0433279,
        0.0382043,
        0.0344162,
        0.0329142,
        0.0333008,
        0.0342804,
        0.0349043,
        0.0365394,
        0.0375957,
        0.0394541,
        0.0431937,
        0.0497389,
        0.0664855,
        0.0785395,
        0.0714133,
        0.070555,
        0.0796785,
        0.0885996,
        0.107224,
        0.130366,
        0.128928,
        0.115862,
        0.102925,
        0.0859697,
        0.0726159,
        0.0623366,
        0.0557932,
        0.0510411,
        0.0459555,
        0.0420094,
        0.0397337,
        0.0373245,
        0.0354978,
        0.0337436,
        0.0324344,
        0.0318635,
        0.0313835,
        0.0310955,
        0.0307752,
        0.0335532,
        0.0359873,
        0.0329165,
        0.0315204,
        0.0340995,
        0.0327024,
        0.0278356,
        0.0279665,
        0.0285052,
        0.0283353,
        0.0288859,
        0.0308123,
        0.0345552,
        0.0400933,
        0.0472393,
        0.0548327,
        0.0577429,
        0.056594,
        0.0486021,
        0.0442087,
        0.0432225,
        0.0429116,
        0.0398407,
        0.0352738,
        0.0324642,
        0.0305104,
        0.0294054,
        0.0336985,
        0.0346439,
        0.0292923,
        0.0287738,
        0.0289228,
        0.0299614,
        0.0338405,
        0.0393512,
        0.0414189,
        0.0385696,
        0.0353955,
        0.032621,
        0.0301097,
        0.0299922,
        0.0312829,
        0.0320828,
        0.0322248,
        0.033741,
        0.0347728,
        0.0361574,
        0.0388252,
        0.0404711,
        0.0440432,
        0.0499564,
        0.0551954,
        0.0615387,
        0.0729643,
        0.0836086,
        0.090453,
        0.0862774,
        0.0796339,
        0.079505,
        0.0921758,
        0.0956623,
        0.0896735,
        0.0964696,
        0.0904359,
        0.0764488,
        0.0732047,
        0.0739765,
        0.0721766,
        0.0791876,
        0.0773045,
        0.0575259,
        0.0498475,
        0.0459051,
        0.0442577,
        0.0434795,
        0.0437971,
        0.0442832,
        0.0410239,
        0.0371375,
        0.0333387,
        0.0314685,
        0.0322837,
        0.0346462,
        0.0390785,
        0.0417512,
        0.0407019,
        0.0374487,
        0.0351046,
        0.0328121,
        0.032273,
        0.0318346,
        0.0315699,
        0.0309097,
        0.0306053,
        0.0303611,
        0.0302457,
        0.0311349,
        0.0319059,
        0.0328828,
        0.0367882,
        0.042294,
        0.046979,
        0.0479299,
        0.0459758,
        0.0424619,
        0.0404717,
        0.0393588,
        0.0390059,
        0.0404595,
        0.0425418,
        0.0446914,
        0.0479335,
        0.0527427,
        0.0608354,
        0.0673458,
        0.0795158,
        0.109016,
        0.155686,
        0.24235,
        0.389335,
        0.325468,
        0.23233,
        0.175706,
        0.133761,
        0.0976485,
        0.0779833,
        0.0711742,
        0.070874,
        0.068615,
        0.064422,
        0.0667072,
        0.0650463,
        0.058743,
        0.0521322,
        0.0463705,
        0.0412985,
        0.0376448,
        0.0356794,
        0.0353399,
        0.0366331,
        0.04065,
        0.0447769,
        0.0446151,
        0.0408055,
        0.0378268,
        0.0348455,
        0.033907,
        0.0328213,
        0.0321609,
        0.0310597,
        0.0301816,
        0.0295598,
        0.0289664,
        0.0292199,
        0.0292914,
        0.0304586,
        0.0358116,
        0.0387659,
        0.0384665,
        0.0481018,
        0.0546854,
        0.0601877,
        0.0650082,
        0.0602178,
        0.0495522,
        0.0393514,
        0.0347284,
        0.0309226,
        0.0293515,
        0.0283943,
        0.0281262,
        0.0281781,
        0.0278617,
        0.0288016,
        0.0326454,
        0.0317108,
        0.0291566,
        0.0304526,
        0.0318009,
        0.0322296,
        0.033425,
        0.0334634,
        0.0362704,
        0.037732,
        0.0333635,
        0.0356288,
        0.0441161,
        0.0570259,
        0.0672177,
        0.0697346,
        0.0684497,
        0.073245,
        0.0839752,
        0.108521,
        0.119439,
        0.102999,
        0.0809812,
        0.0661005,
        0.0561832,
        0.0457752,
        0.0387947,
        0.034971,
        0.0332488,
        0.031704,
        0.0319324,
        0.031662,
        0.0345514,
        0.0389419,
        0.0431442,
        0.0433699,
        0.04153,
        0.0370651,
        0.0340322,
        0.0336691,
        0.0338687,
        0.0343028,
        0.0332523,
        0.0326845,
        0.0326439,
        0.032773,
        0.0326579,
        0.0364161,
        0.0362777,
        0.0325058,
        0.0332324,
        0.0340886,
        0.0350066,
        0.0391735,
        0.0466178,
        0.05715,
        0.062275,
        0.0589307,
        0.0538577,
        0.0495524,
        0.045089,
        0.0425271,
        0.0396862,
        0.039003,
        0.0387007,
        0.0398828,
        0.0467485,
        0.0546639,
        0.0516511,
        0.0457004,
        0.0419063,
        0.0397255,
        0.038466,
        0.0365225,
        0.0348478,
        0.0330568,
        0.0325258,
        0.0330589,
        0.0352678,
        0.0407652,
        0.0509235,
        0.0526175,
        0.048457,
        0.0472412,
        0.0458476,
        0.0445973,
        0.0423671,
        0.0410573,
        0.0392628,
        0.0411626,
        0.0455573,
        0.0487517,
        0.0469905,
        0.0431658,
        0.0409327,
        0.0371158,
        0.0371607,
        0.035109,
        0.0338598,
        0.032988,
        0.0330582,
        0.0346911,
        0.0388771,
        0.0457588,
        0.0484396,
        0.0468834,
        0.0474713,
        0.050965,
        0.057286,
        0.0555777,
        0.0480808,
        0.0413545,
        0.0360677,
        0.0330628,
        0.0306182,
        0.029549,
        0.0296111,
        0.0305026,
        0.0305356,
        0.0298916,
        0.0295718,
        0.0288158,
        0.0293124,
        0.0309633,
        0.03502,
        0.0483321,
        0.049441,
        0.0414166,
        0.0365403,
        0.0331347,
        0.0309788,
        0.02995,
        0.0297191,
        0.0297675,
        0.029442,
        0.0289223,
        0.0293314,
        0.028822,
        0.0294565,
        0.0317389,
        0.0343717,
        0.0351008,
        0.0351565,
        0.0351504,
        0.0345279,
        0.0344911,
        0.0352812,
        0.035802,
        0.0381739,
        0.043742,
        0.0528142,
        0.0608375,
        0.0616274,
        0.0629308,
        0.0585146,
        0.050221,
        0.0486869,
        0.0533505,
        0.0671871,
        0.0873456,
        0.0980829,
        0.103257,
        0.0845966,
        0.0610348,
        0.0490758,
        0.0428613,
        0.0386928,
        0.0367949,
        0.034979,
        0.0332704,
        0.0335589,
        0.0337323,
        0.0361506,
        0.0408427,
        0.0486944,
        0.0559523,
        0.060337,
        0.0657325,
        0.0664284,
        0.0585281,
        0.0472944,
        0.042448,
        0.0392636,
        0.0367598,
        0.0349616,
        0.0345019,
        0.034128,
        0.0336185,
        0.0345129,
        0.0339536,
        0.0347432,
        0.0384291,
        0.0385457,
        0.0385198,
        0.0440632,
        0.0519585,
        0.0598334,
        0.0708687,
        0.0892954,
        0.0705109,
        0.0563591,
        0.0469702,
        0.0408698,
        0.0361809,
        0.0338117,
        0.0328409,
        0.0323381,
        0.0327712,
        0.0334823,
        0.0334615,
        0.0345587,
        0.0363176,
        0.0378948,
        0.0376451,
        0.036697,
        0.0371634,
        0.0372441,
        0.0388376,
        0.0417463,
        0.0392378,
        0.0380515,
        0.0402069,
        0.0431772,
        0.0485543,
        0.0529991,
        0.0519257,
        0.0500707,
        0.0491516,
        0.051613,
        0.0578926,
        0.0700129,
        0.0931216,
        0.107456,
        0.111825,
        0.110158,
        0.108503,
        0.118881,
        0.127539,
        0.118552,
        0.0975334,
        0.0778177,
        0.0676298,
        0.0593397,
        0.056017,
        0.054206,
        0.0562727,
        0.0602431,
        0.069624,
        0.0767608,
        0.0751958,
        0.0703383,
        0.0590056,
        0.0555571,
        0.0507514,
        0.0461892,
        0.0442876,
        0.0418472,
        0.0402425,
        0.0396791,
        0.0374831,
        0.0356696,
        0.0354341,
        0.0356936,
        0.0349506,
        0.0355141,
        0.0348968,
        0.0344322,
        0.0335797,
        0.0336304,
        0.0335258,
        0.0329531,
        0.0348911,
        0.0376052,
        0.043768,
        0.0498502,
        0.0499328,
        0.0455993,
        0.0413179,
        0.0380623,
        0.0365922,
        0.0354034,
        0.0357956,
        0.0367358,
        0.04115,
        0.0448616,
        0.0461751,
        0.0440447,
        0.0415565,
        0.0402099,
        0.038153,
        0.0364182,
        0.0359097,
        0.035898,
        0.0372759,
        0.0395052,
        0.0450112,
        0.0550742,
        0.0624601,
        0.0615374,
        0.0519353,
        0.0450758,
        0.0407912,
        0.0370697,
        0.0375182,
        0.039291,
        0.0442791,
        0.0466268,
        0.0465165,
        0.0431738,
        0.0420446,
        0.0429215,
        0.0459143,
        0.0590592,
        0.0820513,
        0.0930551,
        0.0837195,
        0.0658094,
        0.0532164,
        0.0435205,
        0.0387742,
        0.0366444,
        0.0388534,
        0.0432768,
        0.0504871,
        0.050785,
        0.0465366,
        0.0413621,
        0.0370557,
        0.0353737,
        0.0343401,
        0.0341221,
        0.0358397,
        0.0416096,
        0.0511142,
        0.0611529,
        0.0607546,
        0.053323,
        0.0473944,
        0.0418666,
        0.0398668,
        0.0400267,
        0.0437327,
        0.0516226,
        0.061706,
        0.0612787,
        0.0559665,
        0.0554761,
        0.0515809,
        0.0427112,
        0.044229,
        0.0495218,
        0.0566648,
        0.0596453,
        0.0516465,
        0.0458918,
        0.0419359,
        0.0391487,
        0.0375744,
        0.0367704,
        0.0393733,
        0.0428491,
        0.0452757,
        0.045545,
        0.0445665,
        0.0420471,
        0.0398081,
        0.036466,
        0.0365719,
        0.0363023,
        0.0361444,
        0.0388416,
        0.0434397,
        0.0463143,
        0.0447474,
        0.0438029,
        0.0431717,
        0.0504308,
        0.0597304,
        0.0722266,
        0.0607754,
        0.0567943,
        0.0583985,
        0.0560871,
        0.0500603,
        0.0461979,
        0.0420891,
        0.0421375,
        0.0473301,
        0.0514073,
        0.0529663,
        0.0617912,
        0.0576524,
        0.053664,
        0.0490036,
        0.0421489,
        0.0414022,
        0.039598,
        0.0394236,
        0.0406667,
        0.0453121,
        0.0529351,
        0.0584242,
        0.0592866,
        0.0528634,
        0.0459344,
        0.04224,
        0.041947,
        0.040376,
        0.0415246,
        0.0424534,
        0.0426913,
        0.042794,
        0.0446927,
        0.0473037,
        0.0480811,
        0.0521067,
        0.0591948,
        0.0647079,
        0.0641677,
        0.0683662,
        0.0686805,
        0.0768815,
        0.0834817,
        0.0983504,
        0.116258,
        0.13983,
        0.184301,
        0.259418,
        0.393636,
        0.319725,
        0.242782,
        0.196678,
        0.158096,
        0.144223,
        0.12164,
        0.132067,
        0.106951,
        0.0882808,
        0.0860187,
        0.0814958,
        0.0866496,
        0.0797211,
        0.077838,
        0.0806852,
        0.092764,
        0.0842719,
        0.0717473,
        0.0611428,
        0.0552899,
        0.0545615,
        0.0567891,
        0.0587213,
        0.0573977,
        0.051398,
        0.0460616,
        0.0433832,
        0.0415758,
        0.0397248,
        0.0398039,
        0.040183,
        0.0415746,
        0.0429813,
        0.0480709,
        0.0560292,
        0.0726764,
        0.0790441,
        0.0680318,
        0.0586268,
        0.0523402,
        0.052144,
        0.0618371,
        0.0866599,
        0.125063,
        0.147984,
        0.115487,
        0.0803929,
        0.0617966,
        0.0550992,
        0.0497422,
        0.0478183,
        0.0464905,
        0.044866,
        0.0422913,
        0.041249,
        0.0391345,
        0.0386325,
        0.0378812,
        0.0395276,
        0.0389383,
        0.0402722,
        0.0405303,
        0.0406194,
        0.0400011,
        0.0412797,
        0.0402442,
        0.0398494,
        0.0398656,
        0.0387085,
        0.0379283,
        0.038737,
        0.0388839,
        0.0414174,
        0.0465852,
        0.0573954,
        0.0681112,
        0.0735285,
        0.0858257,
        0.0899159,
        0.0867165,
        0.0670757,
        0.0558127,
        0.0542794,
        0.0495835,
        0.0400804,
        0.039611,
        0.03868,
        0.0400354,
        0.0451776,
        0.0517756,
        0.0691927,
        0.0878584,
        0.0862552,
        0.0687096,
        0.0577235,
        0.0502565,
        null,
        0.0363908,
        0.035577,
        0.0345058,
        0.033732,
        0.0328213,
        0.0324865,
        0.032236,
        0.0315306,
        0.0308872,
        0.0313061,
        0.0306003,
        0.0306932,
        0.0308899,
        0.0317436,
        0.0337509,
        0.0379679,
        0.0437239,
        0.0474082,
        0.0455617,
        0.0406886,
        0.0373394,
        0.034831,
        0.0350649,
        0.036519,
        0.0362324,
        0.0347512,
        0.0330138,
        0.0321507,
        0.0319058,
        0.0316669,
        0.031336,
        0.030857,
        0.0307,
        0.0307966,
        0.0324281,
        0.037516,
        0.045844,
        0.065679,
        0.0678605,
        0.0495844,
        0.040451,
        0.0344592,
        0.0319231,
        0.0312412,
        0.0312306,
        0.0329965,
        0.03748,
        0.0449306,
        0.0483496,
        0.0455901,
        0.0444663,
        0.0396226,
        0.0332404,
        0.0329396,
        0.0337798,
        0.0351132,
        0.0378003,
        0.0417692,
        0.0476898,
        0.0546264,
        0.0539745,
        0.0473805,
        0.0417014,
        0.0381535,
        0.0365702,
        0.0368001,
        0.0380753,
        0.0400086,
        0.0426985,
        0.0466173,
        0.0519772,
        0.0563891,
        0.0572183,
        0.0545121,
        0.0503677,
        0.0473232,
        0.0449439,
        0.0454519,
        0.0493838,
        0.0541616,
        0.0560665,
        0.0530118,
        0.0471844,
        0.0417621,
        0.0392043,
        0.0394934,
        0.041356,
        0.0429031,
        0.0432577,
        0.0433764,
        0.0454726,
        0.0490587,
        0.0538492,
        0.0544822,
        0.0499622,
        0.0492408,
        0.0525595,
        0.0590513,
        0.0691487,
        0.0685946,
        0.063771,
        0.0517511,
        0.0420083,
        0.0378038,
        0.0351158,
        0.0333969,
        0.0333194,
        0.034528,
        0.0373122,
        0.0455773,
        0.0555602,
        0.0556204,
        0.0483732,
        0.0411455,
        0.0368837,
        0.0344619,
        0.0330223,
        0.0321556,
        0.0314721,
        0.0313833,
        0.0311035,
        0.0305254,
        0.0305493,
        0.0306585,
        0.0307526,
        0.0309139,
        0.0313788,
        0.0317589,
        0.0309241,
        0.0311766,
        0.0314552,
        0.0329358,
        0.034763,
        0.0372769,
        0.0429939,
        0.053305,
        0.0615752,
        0.0593408,
        0.0510088,
        0.0424535,
        0.0374192,
        0.0358048,
        0.0349617,
        0.0344461,
        0.0353171,
        0.0360861,
        0.0372898,
        0.0403101,
        0.0437276,
        0.0460953,
        0.0475199,
        0.0502076,
        0.0532895,
        0.0593251,
        0.0705724,
        0.0823194,
        0.104369,
        0.135299,
        0.203038,
        0.261173,
        0.188265,
        0.148534,
        0.136965,
        0.124284,
        0.103648,
        0.0876579,
        0.0738398,
        0.0621166,
        0.054715,
        0.049249,
        0.0461311,
        0.0434859,
        0.0414502,
        0.0394032,
        0.0382296,
        0.0371695,
        0.0365825,
        0.0364119,
        0.0370579,
        0.0395755,
        0.0425186,
        0.0455302,
        0.0435,
        0.0401273,
        0.0409051,
        0.0458728,
        0.0521967,
        0.0546736,
        0.0533762,
        0.0556809,
        0.0563042,
        0.0505802,
        0.0444218,
        0.0399994,
        0.0375708,
        0.0367885,
        0.0357973,
        0.0361683,
        0.0366881,
        0.036879,
        0.0370535,
        0.038109,
        0.0392533,
        0.0415089,
        0.0460249,
        0.0522853,
        0.0600716,
        0.0676191,
        0.0753908,
        0.0868837,
        0.0924894,
        0.0896459,
        0.0937603,
        0.103581,
        0.120503,
        0.143793,
        0.203116,
        0.235463,
        0.199627,
        0.18532,
        0.160948,
        0.129148,
        0.110305,
        0.10291,
        0.0992551,
        0.100964,
        0.0908407,
        0.0768061,
        0.0701649,
        0.0654932,
        0.0615616,
        0.0552526,
        0.0511652,
        0.0475818,
        0.0459026,
        0.0484347,
        0.0535399,
        0.0543016,
        0.0486903,
        0.0428062,
        0.0394003,
        0.0377961,
        0.0371747,
        0.0371666,
        0.0370516,
        0.0375257,
        0.0374812,
        0.0376738,
        0.0372701,
        0.0363712,
        0.0370363,
        0.0401229,
        0.0443823,
        0.0482565,
        0.0464431,
        0.0421572,
        0.0388047,
        0.0376084,
        0.0373223,
        0.0368565,
        0.0372943,
        0.0378882,
        0.0389895,
        0.0409624,
        0.04387,
        0.04589,
        0.0496697,
        0.0557597,
        0.0655927,
        0.0800046,
        0.100531,
        0.124724,
        0.143143,
        0.159565,
        0.1491,
        0.116873,
        0.102162,
        0.0933621,
        0.0818476,
        0.0670521,
        0.0554731,
        0.047436,
        0.0428364,
        0.0410543,
        0.0396219,
        0.0366866,
        0.0359536,
        0.0355814,
        0.0341485,
        0.0334286,
        0.0319841,
        0.0314033,
        0.0304954,
        0.0288301,
        0.0278744,
        0.0275215,
        0.0273576,
        0.0266744,
        0.0264791,
        0.0261665,
        0.0259975,
        0.0257706,
        0.0254458,
        0.0254116,
        0.025189,
        0.025304,
        0.0251809,
        0.0253095,
        0.0254442,
        0.0254728,
        0.0265955,
        0.0286011,
        0.029942,
        0.0297079,
        0.0287892,
        0.0280855,
        0.0272263,
        0.026763,
        0.0274673,
        0.0285409,
        0.0299359,
        0.0312363,
        0.0324311,
        0.0346574,
        0.035884,
        0.035615,
        0.0335729,
        0.0318798,
        0.0306074,
        0.0291377,
        0.0293632,
        0.0291112,
        0.028729,
        0.0298866,
        0.0334014,
        0.0384136,
        0.0428111,
        0.0440099,
        0.042408,
        0.0386604,
        0.0344432,
        0.0311218,
        0.0289676,
        0.0275814,
        0.0260583,
        0.0258243,
        0.0263711,
        0.02604,
        0.0246884,
        0.0244072,
        0.0241978,
        0.0242347,
        0.0241948,
        0.0238833,
        0.0236833,
        0.0236525,
        0.0238504,
        0.0237398,
        0.0237889,
        0.0241874,
        0.025154,
        0.0266409,
        0.0277825,
        0.0274106,
        0.0265448,
        0.0250821,
        0.0246034,
        0.0246071,
        0.0243534,
        0.0241624,
        0.0242069,
        0.024197,
        0.0237443,
        0.024217,
        0.0242399,
        0.024308,
        0.024609,
        0.0255975,
        0.027108,
        0.0267355,
        0.026359,
        0.0275475,
        0.0288861,
        0.0297687,
        0.0311571,
        0.0332053,
        0.0361422,
        0.0390741,
        0.0434105,
        0.0494979,
        0.0518752,
        0.050847,
        0.0483075,
        0.044117,
        0.0398836,
        0.0366026,
        0.0344628,
        0.0332279,
        0.0337816,
        0.0354713,
        0.0381928,
        0.0379165,
        0.035467,
        0.0358409,
        0.0416784,
        0.0399388,
        0.0331179,
        0.0294086,
        0.026681,
        0.0254993,
        0.0248614,
        0.024493,
        0.024325,
        0.0242767,
        0.0242653,
        0.0243471,
        0.0237176,
        0.0237749,
        0.0237563,
        0.0236427,
        0.0236997,
        0.0240447,
        0.0253902,
        0.0269917,
        0.0275045,
        0.026538,
        0.0247399,
        0.0237504,
        0.0234192,
        0.0232352,
        0.0235569,
        0.0235448,
        0.027698,
        0.0279805,
        0.0237287,
        0.0233849,
        0.023222,
        0.0236233,
        0.0232746,
        0.0232884,
        0.0232251,
        0.0234515,
        0.0237528,
        0.0233387,
        0.0234522,
        0.0236549,
        0.0234541,
        0.0238467,
        0.0244208,
        0.0252,
        0.0250697,
        0.0248092,
        0.026293,
        0.0260147,
        0.0240343,
        0.0239913,
        0.0239477,
        0.0240363,
        0.0238498,
        0.0240146,
        0.0238782,
        0.0234924,
        0.0233463,
        0.0232866,
        0.0234977,
        0.0239183,
        0.0244464,
        0.0244,
        0.024525,
        0.024124,
        0.0239328,
        0.0238323,
        0.0236145,
        0.0232258,
        0.0232268,
        0.0230514,
        0.0230551,
        0.0234527,
        0.0235939,
        0.0234019,
        0.0227301,
        0.0227098,
        0.0226708,
        0.0225033,
        0.0221001,
        0.0222469,
        0.0221108,
        0.0222665,
        0.022436,
        0.0238205,
        0.0235077,
        0.0228001,
        0.0227279,
        0.0228885,
        0.0236383,
        0.0248099,
        0.0256378,
        0.027217,
        0.0287185,
        0.0308475,
        0.0313821,
        0.0322312,
        0.0336756,
        0.0395056,
        0.0376481,
        0.0304158,
        0.0284874,
        0.0266281,
        0.0254939,
        0.0249686,
        0.0239647,
        0.0235342,
        0.0237664,
        0.0233288,
        0.0228796,
        0.022927,
        0.0229224,
        0.0230197,
        0.0228477,
        0.0226146,
        0.0229466,
        0.0230447,
        0.0223409,
        0.0221941,
        0.022153,
        0.0223028,
        0.0222179,
        0.0246448,
        0.0247283,
        0.0221478,
        0.022073,
        0.0218022,
        0.0216077,
        0.0219839,
        0.0218114,
        0.0218869,
        0.02176,
        0.0217459,
        0.0217804,
        0.0219118,
        0.0221763,
        0.0223925,
        0.0225387,
        0.0230827,
        0.0257746,
        0.0261754,
        0.0241616,
        0.0241371,
        0.0243586,
        0.0244222,
        0.0245596,
        0.0249844,
        0.0253659,
        0.0264239,
        0.0270294,
        0.0275727,
        0.0286475,
        0.0298652,
        0.0321001,
        0.0347677,
        0.0380229,
        0.0434441,
        0.0486198,
        0.0529819,
        0.0525995,
        0.0492567,
        0.0465798,
        0.043929,
        0.0409339,
        0.0379918,
        0.036653,
        0.0359409,
        0.0357274,
        0.0365862,
        0.0370904,
        0.0372863,
        0.0384745,
        0.0393783,
        0.0415862,
        0.0448152,
        0.0485633,
        0.0542347,
        0.0643436,
        0.079054,
        0.09421,
        0.110061,
        0.147192,
        0.244279,
        0.304423,
        0.192557,
        0.126134,
        0.0916721,
        0.074541,
        0.0605424,
        0.051547,
        0.0464031,
        0.0425659,
        0.0389431,
        0.0356863,
        0.0337708,
        0.0324704,
        0.0311172,
        0.0298973,
        0.0290671,
        0.0278413,
        0.0270573,
        0.0278029,
        0.0271313,
        0.0258017,
        0.0261707,
        0.0259127,
        0.0253652,
        0.0258651,
        0.0261387,
        0.0261535,
        0.0254787,
        0.0249599,
        0.0244356,
        0.0242499,
        0.0241514,
        0.0237014,
        0.0236749,
        0.0235043,
        0.0242786,
        0.0247417,
        0.0244336,
        0.0247125,
        0.0247528,
        0.0241771,
        0.0234684,
        0.0234262,
        0.02291,
        0.0226993,
        0.0226685,
        0.0226367,
        0.0224757,
        0.0224366,
        0.0225923,
        0.0253839,
        0.0255363,
        0.0226269,
        0.0222547,
        0.0221038,
        0.0220735,
        0.0222154,
        0.0222477,
        0.022347,
        0.0223182,
        0.0224945,
        0.0231878,
        0.0240212,
        0.0278895,
        0.027328,
        0.022649,
        0.0222007,
        0.0219252,
        0.0218526,
        0.021736,
        0.0219225,
        0.0221154,
        0.0259844,
        0.0259342,
        0.0221019,
        0.022144,
        0.022535,
        0.0233039,
        0.0237678,
        0.0243527,
        0.0258702,
        0.0280765,
        0.0319192,
        0.0347763,
        0.0359572,
        0.0354143,
        0.034014,
        0.0323112,
        0.0296085,
        0.0275571,
        0.0261799,
        0.0252391,
        0.0246348,
        0.0241186,
        0.023837,
        0.0241871,
        0.0240599,
        0.0239203,
        0.0238242,
        0.0238274,
        0.02531,
        0.0243891,
        0.023459,
        0.0239263,
        0.0251165,
        0.0280496,
        0.0315692,
        0.0344277,
        0.0346144,
        0.0338556,
        0.034022,
        0.0341691,
        0.0327276,
        0.0296845,
        0.0289327,
        0.0273131,
        0.0254847,
        0.0253779,
        0.0269387,
        0.0291596,
        0.0296467,
        0.0292581,
        0.0287396,
        0.028326,
        0.0288878,
        0.0286438,
        0.0269635,
        0.0255935,
        0.024908,
        0.024309,
        0.0242448,
        0.0245535,
        0.0250214,
        0.025416,
        0.0272711,
        0.0305246,
        0.0359986,
        0.0426863,
        0.0444931,
        0.043035,
        0.0422888,
        0.0443062,
        0.0502423,
        0.059748,
        0.0661639,
        0.0634537,
        0.0562527,
        0.0481625,
        0.0437239,
        0.0401849,
        0.0388386,
        0.0442432,
        0.0469838,
        0.0399036,
        0.0349244,
        0.0310877,
        0.0282492,
        0.0269096,
        0.0330627,
        0.0339798,
        0.0305714,
        0.0340276,
        0.0349554,
        0.0354991,
        0.0316133,
        0.0264638,
        0.0251379,
        0.0243441,
        0.0246402,
        0.0244028,
        0.0243153,
        0.0249763,
        0.0265148,
        0.0290069,
        0.0303161,
        0.0303787,
        0.0312044,
        0.0330937,
        0.0369682,
        0.0396059,
        0.0362921,
        0.0315489,
        0.0283589,
        0.0264802,
        0.026368,
        0.0268547,
        0.0316798,
        0.0359895,
        0.0367302,
        0.0328777,
        0.0287754,
        0.0260815,
        0.0245559,
        0.0236218,
        0.0231936,
        0.0246833,
        0.0276271,
        0.0308424,
        0.0310931,
        0.029053,
        0.0281576,
        0.0281615,
        0.027182,
        0.0259982,
        0.0246751,
        0.0242889,
        0.0246557,
        0.025369,
        0.0277508,
        0.0300844,
        0.0292935,
        0.0272387,
        0.0257259,
        0.0242502,
        0.0237975,
        0.0235764,
        0.0237143,
        0.0243831,
        0.0259182,
        0.0277104,
        0.0290838,
        0.0308909,
        0.0322464,
        0.0312152,
        0.028634,
        0.0269115,
        0.02598,
        0.0267727,
        0.0270324,
        0.0257092,
        0.0266863,
        0.029363,
        0.0344115,
        0.0396355,
        0.0406699,
        0.0385014,
        0.0376786,
        0.0368118,
        0.0339334,
        0.0310652,
        0.0299211,
        0.0307855,
        0.0345355,
        0.0375035,
        0.0365049,
        0.0319886,
        0.0279751,
        0.0257318,
        0.0242684,
        0.024103,
        0.0240983,
        0.0246451,
        0.0273,
        0.0315304,
        0.0372396,
        0.0384496,
        0.0344903,
        0.0311614,
        0.0288155,
        0.0288744,
        0.0286718,
        0.0285103,
        0.0285521,
        0.0292675,
        0.0314139,
        0.0341129,
        0.0386886,
        0.0435164,
        0.0461887,
        0.0437033,
        0.0368298,
        0.0357103,
        0.036818,
        0.0377273,
        0.0394602,
        0.0379635,
        0.0335322,
        0.0302396,
        0.0276906,
        0.0268159,
        0.0267452,
        0.0282258,
        0.0316638,
        0.0346889,
        0.0375907,
        0.0360841,
        0.0319224,
        0.030506,
        0.0285466,
        0.0268523,
        0.0267064,
        0.0282775,
        0.0292918,
        0.0297694,
        0.0287556,
        0.0274416,
        0.027888,
        0.0306144,
        0.0369186,
        0.0476626,
        0.0474667,
        0.039115,
        0.0334768,
        0.0294545,
        0.0266509,
        0.0255509,
        0.0254787,
        0.0264483,
        0.0289729,
        0.0334415,
        0.0377876,
        0.0399813,
        0.0385339,
        0.0363472,
        0.0349375,
        0.0345255,
        0.0365009,
        0.0392174,
        0.039237,
        0.0398992,
        0.0398082,
        0.0416523,
        0.0463528,
        0.0546598,
        0.0605954,
        0.0579135,
        0.0487723,
        0.0411757,
        0.0371429,
        0.0342554,
        0.0323361,
        0.0307373,
        0.0299773,
        0.0288857,
        0.0282915,
        0.0287747,
        0.0324298,
        0.0385424,
        0.0448218,
        0.0428075,
        0.0366321,
        0.0319646,
        0.0278377,
        0.0260547,
        0.0249613,
        0.0244729,
        0.0253922,
        0.0252074,
        0.0244167,
        0.024233,
        0.0246635,
        0.0240722,
        0.0250486,
        0.0270028,
        0.0300459,
        0.0324844,
        0.0329052,
        0.031607,
        0.0312379,
        0.0325935,
        0.0346989,
        0.0340344,
        0.0321201,
        0.0301677,
        0.028485,
        0.0264665,
        0.0258714,
        0.0266255,
        0.0268594,
        0.0274963,
        0.0299752,
        0.0338445,
        0.0388734,
        0.0405635,
        0.0381837,
        0.0345365,
        0.0324273,
        0.0349434,
        0.036735,
        0.0355578,
        0.0321385,
        0.0298679,
        0.0295476,
        0.0292167,
        0.0276599,
        0.0264042,
        0.0257596,
        0.0285658,
        0.0306355,
        0.0325219,
        0.0384704,
        0.0420449,
        0.0433285,
        0.0407027,
        0.0381287,
        0.0361522,
        0.0345234,
        0.0321283,
        0.0302608,
        0.0290356,
        0.0275319,
        0.0272615,
        0.0277981,
        0.0303498,
        0.0351707,
        0.0375036,
        0.0371924,
        0.0363569,
        0.0383808,
        0.0349229,
        0.0288445,
        0.0280705,
        0.0277816,
        0.0288879,
        0.0316137,
        0.0326577,
        0.0322511,
        0.0319352,
        0.0309121,
        0.0317635,
        0.0336768,
        0.0355073,
        0.0338559,
        0.0312927,
        0.0296694,
        0.028546,
        0.0276068,
        0.0272609,
        0.0271889,
        0.0272887,
        0.0270818,
        0.0278707,
        0.0287434,
        0.030635,
        0.0323038,
        0.0344517,
        0.0369553,
        0.0414388,
        0.0451804,
        0.0482532,
        0.0457801,
        0.044183,
        0.0395726,
        0.0373866,
        0.0384504,
        0.0401678,
        0.0435737,
        0.0462696,
        0.0500421,
        0.0576651,
        0.0624954,
        0.0660186,
        0.0701158,
        0.0738556,
        0.0762751,
        0.081258,
        0.0849506,
        0.0947133,
        0.0967274,
        0.0917214,
        0.0939518,
        0.106069,
        0.130484,
        0.166162,
        0.247344,
        0.350829,
        0.205055,
        0.14524,
        0.117402,
        0.107184,
        0.11264,
        0.118383,
        0.0995229,
        0.0859359,
        0.0745428,
        0.0673173,
        0.0578692,
        0.0494201,
        0.0451346,
        0.0428324,
        0.0418199,
        0.0433886,
        0.0457114,
        0.0440699,
        0.043793,
        0.0464531,
        0.0507745,
        0.0587845,
        0.0677254,
        0.0679039,
        0.0612263,
        0.0574838,
        0.0618826,
        0.0659285,
        0.0639512,
        0.0637019,
        0.0597532,
        0.0549255,
        0.052076,
        0.0490268,
        0.044953,
        0.0425281,
        0.0407707,
        0.0409341,
        0.0412624,
        0.0397829,
        0.036847,
        0.033876,
        0.0331708,
        0.0327386,
        0.0327004,
        0.0314085,
        0.0311117,
        0.0301663,
        0.0280217,
        0.0289708,
        0.0319624,
        0.0383208,
        0.0461186,
        0.0487783,
        0.0477065,
        0.0459902,
        0.0436069,
        0.0379273,
        0.0347706,
        0.0331352,
        0.0322956,
        0.0309254,
        0.0296154,
        0.0277723,
        0.0272837,
        0.027198,
        0.0262145,
        0.0257505,
        0.0263568,
        0.0269285,
        0.0286741,
        0.0305335,
        0.0320501,
        0.0350245,
        0.0364307,
        0.035268,
        0.0332021,
        0.0321151,
        0.0312954,
        0.0299912,
        0.0279293,
        0.0279423,
        0.0282044,
        0.0268655,
        0.0280608,
        0.0292591,
        0.0294881,
        0.0282912,
        0.0268307,
        0.0260991,
        0.0254617,
        0.0252562,
        0.0263143,
        0.0277684,
        0.0294203,
        0.030533,
        0.0302071,
        0.029811,
        0.029975,
        0.0332856,
        0.0416129,
        0.0520238,
        0.0544587,
        0.0474629,
        0.0422181,
        0.0418114,
        0.0410113,
        0.0397137,
        0.0381017,
        0.0373038,
        0.0374707,
        0.038876,
        0.0407945,
        0.0420462,
        0.0454872,
        0.052072,
        0.0618813,
        0.0723985,
        0.0784721,
        0.088819,
        0.0967305,
        0.0997971,
        0.0974406,
        0.0882485,
        0.0798658,
        0.0688577,
        0.0631978,
        0.0589909,
        0.0553183,
        0.0531735,
        0.0549401,
        0.0582179,
        0.0568282,
        0.0512509,
        0.04579,
        0.0411817,
        0.0383093,
        0.035575,
        0.0354834,
        0.036328,
        0.0375609,
        0.036634,
        0.0357459,
        0.0340697,
        0.0318522,
        0.0294526,
        0.0288791,
        0.0280353,
        0.0272144,
        0.0272531,
        0.0276191,
        0.0275167,
        0.0280932,
        0.0279995,
        0.0283908,
        0.0300807,
        0.033864,
        0.0401356,
        0.0459793,
        0.0445513,
        0.0410242,
        0.0380278,
        0.0372721,
        0.0375678,
        0.0401667,
        0.0433258,
        0.0447321,
        0.042916,
        0.0382164,
        0.0347024,
        0.031857,
        0.03081,
        0.0301271,
        0.0302085,
        0.0311086,
        0.0307449,
        0.0303867,
        0.0300354,
        0.0302817,
        0.0304393,
        0.0316916,
        0.0371452,
        0.0374414,
        0.0346996,
        0.0359021,
        0.038253,
        0.0411477,
        0.0423949,
        0.0441257,
        0.0438277,
        0.043278,
        0.0431089,
        0.0439084,
        0.0463699,
        0.0482503,
        0.0550105,
        0.0504251,
        0.0398777,
        0.0377268,
        0.036067,
        0.0355883,
        0.0355929,
        0.0351772,
        0.0340811,
        0.0330702,
        0.0314464,
        0.0303941,
        0.0306587,
        0.0315185,
        0.032874,
        0.0340937,
        0.0362727,
        0.0389369,
        0.043162,
        0.0482545,
        0.0573394,
        0.0691781,
        0.0749954,
        0.0722696,
        0.0624083,
        0.0514025,
        0.0439039,
        0.0403303,
        0.0371608,
        0.0338542,
        0.0321569,
        0.0301757,
        0.0288856,
        0.0285958,
        0.0276364,
        0.0270623,
        0.0274797,
        0.0278915,
        0.0292904,
        0.0297118,
        0.0301712,
        0.0300462,
        0.0300467,
        0.0328443,
        0.0376522,
        0.0486504,
        0.0613489,
        0.0657302,
        0.0632765,
        0.0568831,
        0.0483181,
        0.0419951,
        0.036362,
        0.0324883,
        0.0301972,
        0.0291757,
        0.0289403,
        0.0291734,
        0.0296271,
        0.0300162,
        0.0299483,
        0.0289027,
        0.0279824,
        0.0272168,
        0.0271139,
        0.0271191,
        0.0276322,
        0.0277436,
        0.0283572,
        0.029138,
        0.0326257,
        0.0432542,
        0.0430396,
        0.0386557,
        0.0384916,
        0.0357066,
        0.0336957,
        0.0331544,
        0.0330459,
        0.0315271,
        0.0290127,
        0.0276447,
        0.026593,
        0.0258691,
        0.0253788,
        0.0252791,
        0.0253927,
        0.0248762,
        0.0251498,
        0.0252118,
        0.0258542,
        0.0270539,
        0.0282215,
        0.0292415,
        0.0303475,
        0.0300817,
        0.0296188,
        0.0303145,
        0.0283264,
        0.0262935,
        0.0264561,
        0.0266005,
        0.0273052,
        0.0275293,
        0.0276396,
        0.0285085,
        0.0307799,
        0.0336403,
        0.0378476,
        0.0393321,
        0.038388,
        0.0347588,
        0.0345829,
        0.0329326,
        0.0302074,
        0.0296528,
        0.0289987,
        0.0297219,
        0.032479,
        0.0382286,
        0.0438161,
        0.043717,
        0.0394998,
        0.0359479,
        0.0327797,
        0.0312165,
        0.0311551,
        0.0306384,
        0.0304827,
        0.0297684,
        0.0304442,
        0.0298129,
        0.0291431,
        0.0301293,
        0.0284246,
        0.0275316,
        0.0277235,
        0.0288314,
        0.0306682,
        0.0321177,
        0.0333246,
        0.0329483,
        0.0307117,
        0.0299505,
        0.0282144,
        0.0276886,
        0.0277251,
        0.0282408,
        0.0285347,
        0.0289003,
        0.0292064,
        0.0300641,
        0.0314932,
        0.0337061,
        0.0399326,
        0.0471004,
        0.056395,
        0.0637311,
        0.0615744,
        0.054338,
        0.0453767,
        0.0398093,
        0.0428321,
        0.0400393,
        0.0329573,
        0.0336933,
        0.0317888,
        0.0302891,
        0.0294755,
        0.0301376,
        0.0299553,
        0.0288512,
        0.0286615,
        0.0297418,
        0.0307744,
        0.0319155,
        0.0314139,
        0.0311686,
        0.0306732,
        0.0300878,
        0.0328373,
        0.0366315,
        0.0388007,
        0.0461063,
        0.0518693,
        0.0498868,
        0.0440553,
        0.0378802,
        0.0332041,
        0.0311735,
        0.0296115,
        0.029457,
        0.0311067,
        0.0317669,
        0.0301024,
        0.0309951,
        0.0348336,
        0.0347772,
        0.0307482,
        0.0309148,
        0.0313881,
        0.0330979,
        0.0338585,
        0.035146,
        0.0363502,
        0.037404,
        0.0396211,
        0.043926,
        0.045584,
        0.0459565,
        0.047068,
        0.0475106,
        0.0460457,
        0.0419369,
        0.0386691,
        0.0351925,
        0.033294,
        0.0323751,
        0.0322222,
        0.0332176,
        0.0350708,
        0.0383745,
        0.04008,
        0.0393603,
        0.0357083,
        0.0316861,
        0.0302886,
        0.0300684,
        0.0295567,
        0.0287559,
        0.0292401,
        0.0289297,
        0.0295462,
        0.0305628,
        0.0314502,
        0.0307036,
        0.0312502,
        0.0299496,
        0.030099,
        0.0308546,
        0.0340159,
        0.0378742,
        0.0413392,
        0.0473389,
        0.0545578,
        0.0528851,
        0.0469911,
        0.0410421,
        0.0363544,
        0.0343568,
        0.0341473,
        0.0352231,
        0.0349177,
        0.0340578,
        0.0335843,
        0.0333015,
        0.0322899,
        0.0321978,
        0.0334302,
        0.0344374,
        0.034213,
        0.03431,
        0.0338618,
        0.0346213,
        0.0350404,
        0.0336892,
        0.0337648,
        0.0341024,
        0.0359421,
        0.0388453,
        0.0427299,
        0.0512434,
        0.0523075,
        0.0483355,
        0.0536933,
        0.0678023,
        0.0815524,
        0.0816604,
        0.067828,
        0.0524545,
        0.0466415,
        0.0451664,
        0.0460979,
        0.0476075,
        0.0508544,
        0.0536761,
        0.0580525,
        0.0631081,
        0.071992,
        0.0829778,
        0.0991325,
        0.115569,
        0.142938,
        0.196267,
        0.318576,
        0.194648,
        0.138358,
        0.10976,
        0.0918126,
        0.0802297,
        0.0706331,
        0.063957,
        0.0617859,
        0.0533076,
        0.0490431,
        0.0457156,
        0.043262,
        0.0414971,
        0.0402773,
        0.0399052,
        0.0383222,
        0.0377746,
        0.0371447,
        0.0367438,
        0.0368515,
        0.0353807,
        0.0355552,
        0.0351249,
        0.0353359,
        0.0361242,
        0.0400646,
        0.0421981,
        0.0403042,
        0.0414414,
        0.0433257,
        0.0440048,
        0.0426066,
        0.040881,
        0.0443677,
        0.0490914,
        0.0532152,
        0.050257,
        0.0466752,
        0.0415596,
        0.0391458,
        0.0388152,
        0.0406036,
        0.0485405,
        0.0562864,
        0.0603927,
        0.0561807,
        0.0503344,
        0.0454691,
        0.0485588,
        0.0466848,
        0.0389807,
        0.03869,
        0.0371612,
        0.0364788,
        0.0354086,
        0.0339924,
        0.0332573,
        0.0337361,
        0.0332601,
        0.0340986,
        0.0340228,
        0.0340217,
        0.0322826,
        0.0322903,
        0.0314607,
        0.0309245,
        0.0310022,
        0.030456,
        0.0303996,
        0.0309761,
        0.0318402,
        0.0319209,
        0.0318538,
        0.0321384,
        0.0324065,
        0.0326242,
        0.0328027,
        0.0328027,
        0.0325474,
        0.0338952,
        0.0355547,
        0.0386197,
        0.0446591,
        0.0542506,
        0.0644071,
        0.0745859,
        0.0700378,
        0.0584342,
        0.0504286,
        0.0449759,
        0.043798,
        0.0432524,
        0.0450585,
        0.0480396,
        0.0476081,
        0.048124,
        0.0476861,
        0.0454636,
        0.0435933,
        0.0416647,
        0.0389906,
        0.0368478,
        0.0349388,
        0.0347357,
        0.0338376,
        0.0329688,
        0.032328,
        0.0323167,
        0.0319637,
        0.0317431,
        0.0316847,
        0.0315938,
        0.0332897,
        0.0376015,
        0.0434539,
        0.047301,
        0.0450518,
        0.0423181,
        0.0382971,
        0.0348697,
        0.0330948,
        0.0313469,
        0.0311804,
        0.0323037,
        0.0320593,
        0.037018,
        0.038237,
        0.0337519,
        0.0347983,
        0.0337142,
        0.0337104,
        0.0349215,
        0.0339335,
        0.0324727,
        0.0314767,
        0.0308583,
        0.0311988,
        0.0316308,
        0.0311364,
        0.0315098,
        0.0325138,
        0.0340574,
        0.0353409,
        0.0378703,
        0.0407134,
        0.0412069,
        0.0380659,
        0.0365142,
        0.03637,
        0.0362613,
        0.0376894,
        0.0431035,
        0.0486604,
        0.052434,
        0.0478156,
        0.0429404,
        0.0384963,
        0.0361262,
        0.0345483,
        0.0340033,
        0.0334898,
        0.0339735,
        0.0353165,
        0.0400635,
        0.0389555,
        0.0374521,
        0.0382472,
        0.0365047,
        0.0358815,
        0.0350374,
        0.0338523,
        0.0356278,
        0.0364493,
        0.0425029,
        0.0510958,
        0.0545552,
        0.0506182,
        0.0437735,
        0.0392651,
        0.0360127,
        0.0344526,
        0.0336254,
        0.0336869,
        0.033146,
        0.0344814,
        0.0350496,
        0.0323541,
        0.0317983,
        0.0316821,
        0.0318829,
        0.0355323,
        0.0351969,
        0.0318085,
        0.032902,
        0.0338561,
        0.0345784,
        0.0347267,
        0.034972,
        0.0348672,
        0.0356411,
        0.0390476,
        0.0436733,
        0.0479128,
        0.0478627,
        0.0422501,
        0.0389123,
        0.0424271,
        0.0388177,
        0.035068,
        0.0353445,
        0.0360188,
        0.0364871,
        0.0408523,
        0.0547278,
        0.0577399,
        0.070135,
        0.0801587,
        0.0734105,
        0.0587615,
        0.048791,
        0.0427218,
        0.0378181,
        0.0349585,
        0.0339786,
        0.0347559,
        0.0348509,
        0.0359502,
        0.036417,
        0.036378,
        0.0360266,
        0.0351424,
        0.0349647,
        0.0350573,
        0.0373336,
        0.041829,
        0.0501305,
        0.0557403,
        0.0542081,
        0.0491251,
        0.0446665,
        0.0411205,
        0.0399659,
        0.0410276,
        0.0422359,
        0.0416477,
        0.0412473,
        0.0405112,
        0.0399405,
        0.0385425,
        0.0407787,
        0.040092,
        0.0349431,
        0.0346405,
        0.0351713,
        0.0340262,
        0.0327614,
        0.0331189,
        0.0325038,
        0.033676,
        0.0342499,
        0.0376682,
        0.0407829,
        0.0457367,
        0.0462332,
        0.044084,
        0.0415285,
        0.038831,
        0.0373035,
        0.0372478,
        0.0369021,
        0.0372253,
        0.0396967,
        0.0442224,
        0.0527335,
        0.0620666,
        0.064317,
        0.0565739,
        0.0477616,
        0.0523465,
        0.0603328,
        0.0711009,
        0.0672414,
        0.0579638,
        0.0523412,
        0.0479773,
        0.0470648,
        0.0491275,
        0.0513278,
        0.0491952,
        0.0482382,
        0.0469669,
        0.044649,
        0.0432828,
        0.0410913,
        0.0401623,
        0.0391469,
        0.0382708,
        0.0372951,
        0.0369124,
        0.0371246,
        0.0364584,
        0.0356583,
        0.0362559,
        0.0353587,
        0.0358484,
        0.0350833,
        0.034235,
        0.0342959,
        0.034703,
        0.0356105,
        0.0357889,
        0.0366899,
        0.0368867,
        0.0379894,
        0.0382627,
        0.0361208,
        0.036751,
        0.0372744,
        0.0381779,
        0.0388353,
        0.0413483,
        0.043924,
        0.0499377,
        0.0591795,
        0.0624806,
        0.062321,
        0.0794947,
        0.0820355,
        0.0852395,
        0.0849055,
        0.0725594,
        0.0677121,
        0.0632185,
        0.0633254,
        0.0679816,
        0.0725176,
        0.0760871,
        0.0803887,
        0.0876758,
        0.0946709,
        0.11454,
        0.123418,
        0.147293,
        0.208,
        0.244637,
        0.275448,
        0.232171,
        0.172412,
        0.149714,
        0.126254,
        0.102359,
        0.0922153,
        0.0827504,
        0.0767742,
        0.0788628,
        0.0815802,
        0.0881549,
        0.0929684,
        0.0832409,
        0.0707138,
        0.0632156,
        0.0532807,
        0.0482248,
        0.0443256,
        0.0442103,
        0.0429237,
        0.0410863,
        0.041019,
        0.0407785,
        0.0403298,
        0.0395729,
        0.0394819,
        0.0395749,
        0.0406735,
        0.0411821,
        0.0410731,
        0.0407504,
        0.040395,
        0.0410633,
        0.0427332,
        0.0478244,
        0.0569711,
        0.0485033,
        0.0461666,
        0.0413902,
        0.0405302,
        0.0395941,
        0.0387127,
        0.0387755,
        0.0391366,
        0.0402622,
        0.0407818,
        0.0415463,
        0.0481468,
        0.0561479,
        0.061703,
        0.0569684,
        0.0500116,
        0.0469118,
        0.0435278,
        0.0415591,
        0.040854,
        0.0398791,
        0.0403922,
        0.0403065,
        0.0407789,
        0.0412598,
        0.0411798,
        0.0421731,
        0.0425482,
        0.0426347,
        0.0456468,
        0.0525892,
        0.063441,
        0.0795007,
        0.0740734,
        0.0634489,
        0.0530856,
        0.0484739,
        0.0434759,
        0.0417361,
        0.0405246,
        0.0385525,
        0.0375414,
        0.0385695,
        0.038144,
        0.0388828,
        0.0382132,
        0.0389426,
        0.0389258,
        0.0390705,
        0.0374456,
        0.0384197,
        0.0386588,
        0.0396623,
        0.0401839,
        0.0404756,
        0.0407134,
        0.0423049,
        0.042856,
        null,
        0.040146,
        0.0387648,
        0.0374043,
        0.0366058,
        0.0354565,
        0.0343719,
        0.0338226,
        0.0330172,
        0.0332314,
        0.0337601,
        0.0340148,
        0.0340121,
        0.0340858,
        0.0335357,
        0.033565,
        0.0339377,
        0.0355277,
        0.0390987,
        0.0448189,
        0.05036,
        0.053393,
        0.0534894,
        0.0481263,
        0.042861,
        0.0397584,
        0.036755,
        0.0353513,
        0.0356236,
        0.0363736,
        0.0363562,
        0.0369525,
        0.0381517,
        0.0393268,
        0.0411935,
        0.0434573,
        0.0467713,
        0.0515285,
        0.0565324,
        0.0624776,
        0.0777604,
        0.102766,
        0.133012,
        0.175954,
        0.229072,
        0.260169,
        0.197337,
        0.13257,
        0.105103,
        0.0887837,
        0.0775007,
        0.0688818,
        0.0681546,
        0.0755154,
        0.0816687,
        0.07696,
        0.0664901,
        0.0550795,
        0.0471175,
        0.043363,
        0.0469851,
        0.0494804,
        0.0420138,
        0.0376216,
        0.037636,
        0.0389905,
        0.0429913,
        0.0454321,
        0.0429372,
        0.0383394,
        0.0353406,
        0.0340364,
        0.0337102,
        0.0330658,
        0.0323469,
        0.03162,
        0.0317967,
        0.0315327,
        0.0313081,
        0.0313608,
        0.0321805,
        0.0336007,
        0.0366384,
        0.0435166,
        0.055909,
        0.0665047,
        0.062265,
        0.0510058,
        0.0418074,
        0.0366684,
        0.0337699,
        0.0316104,
        0.031222,
        0.0307202,
        0.0297492,
        0.0291481,
        0.0290463,
        0.028963,
        0.0292028,
        0.0299967,
        0.0291714,
        0.0283292,
        0.0287993,
        0.029411,
        0.0295157,
        0.0293592,
        0.0291405,
        0.0286983,
        0.0282081,
        0.0279799,
        0.0280846,
        0.0285729,
        0.0287288,
        0.0286283,
        0.0283804,
        0.0286951,
        0.0291592,
        0.0296433,
        0.0300541,
        0.0303172,
        0.0299566,
        0.0294743,
        0.0294672,
        0.0301909,
        0.0322795,
        0.0367913,
        0.0441566,
        0.0483992,
        0.0452041,
        0.0390409,
        0.0347992,
        0.0334531,
        0.0344745,
        0.0392901,
        0.0483044,
        0.0538974,
        0.0492808,
        0.0436548,
        0.0383811,
        0.0346659,
        0.032375,
        0.0308921,
        0.0299685,
        0.0296264,
        0.031697,
        0.0310334,
        0.0279728,
        0.0277602,
        0.0275275,
        0.0272682,
        0.0273946,
        0.02782,
        0.0280242,
        0.0277202,
        0.0282869,
        0.0289762,
        0.0296542,
        0.0302626,
        0.0318161,
        0.0333236,
        0.0342186,
        0.0351399,
        0.0362082,
        0.0374713,
        0.0413395,
        0.0492283,
        0.0524941,
        0.046886,
        0.0399275,
        0.0352386,
        0.0323352,
        0.0332732,
        0.0321387,
        0.0299346,
        0.0291554,
        0.029329,
        0.0323621,
        0.0361199,
        0.0388308,
        0.0372686,
        0.0339389,
        0.0312969,
        0.029202,
        0.0284007,
        0.0277932,
        0.0276116,
        0.0290064,
        0.0289537,
        0.0270867,
        0.0270644,
        0.0282985,
        0.0297415,
        0.0311793,
        0.0318257,
        0.0312083,
        0.0310964,
        0.0328035,
        0.0376404,
        0.0512078,
        0.0511138,
        0.0379115,
        0.0331782,
        0.0305939,
        0.0301466,
        0.0328119,
        0.0389709,
        0.0464391,
        0.0470151,
        0.0400629,
        0.0341689,
        0.0306314,
        0.0285539,
        0.0277588,
        0.0276289,
        0.0274038,
        0.0273544,
        0.0280055,
        0.0279428,
        0.0279876,
        0.02841,
        0.0288712,
        0.0294952,
        0.0302284,
        0.0304823,
        0.031406,
        0.0315785,
        0.0308175,
        0.0302097,
        0.0295726,
        0.0293284,
        0.0292551,
        0.0294171,
        0.0321013,
        0.0327743,
        0.0303434,
        0.0324324,
        0.036261,
        0.041112,
        0.0453098,
        0.04723,
        0.0487728,
        0.0463604,
        0.0398223,
        0.0355908,
        0.0334532,
        0.0320253,
        0.0313304,
        0.0310697,
        0.0306755,
        0.030356,
        0.0301904,
        0.0302026,
        0.0302595,
        0.0302025,
        0.0295225,
        0.029893,
        0.0300385,
        0.0291308,
        0.0287596,
        0.0278546,
        0.027487,
        0.0274461,
        0.027953,
        0.029178,
        0.0321636,
        0.0383114,
        0.0465787,
        0.0492012,
        0.0437536,
        0.0387284,
        0.0346906,
        0.0324926,
        0.0322477,
        0.0327851,
        0.0334705,
        0.0347258,
        0.0371678,
        0.0435938,
        0.0518884,
        0.0524354,
        0.046073,
        0.0411698,
        0.0390548,
        0.0444685,
        0.0527805,
        0.0528653,
        0.0496228,
        0.0430774,
        0.0397194,
        0.0389619,
        0.0415102,
        0.0458328,
        0.0472152,
        0.043609,
        0.0403363,
        0.038562,
        0.0366978,
        0.0377858,
        0.0390341,
        0.0401951,
        0.0428588,
        0.0459555,
        0.0479335,
        0.0482592,
        0.0484648,
        0.0506557,
        0.0530172,
        0.0597221,
        0.0722319,
        0.0912794,
        0.12114,
        0.174613,
        0.25166,
        0.23317,
        0.158521,
        0.114518,
        0.0825796,
        0.0680358,
        0.0595684,
        0.0582933,
        0.0528725,
        0.0464728,
        0.0445222,
        0.042644,
        0.0411063,
        0.0395814,
        0.0377046,
        0.0367412,
        0.0356446,
        0.0342725,
        0.0332915,
        0.0327661,
        0.032739,
        0.0323734,
        0.0322949,
        0.0326373,
        0.0325999,
        0.0315154,
        0.0311077,
        0.0305724,
        0.0301367,
        0.0301053,
        0.0302796,
        0.0322905,
        0.034755,
        0.0353471,
        0.0394741,
        0.0408954,
        0.0391533,
        0.0393491,
        0.04312,
        0.0471188,
        0.0461875,
        0.0414613,
        0.0371166,
        0.0338521,
        0.0322097,
        0.0320365,
        0.0322542,
        0.0355071,
        0.0425949,
        0.0507547,
        0.0517487,
        0.0464328,
        0.0409798,
        0.0371179,
        0.0343329,
        0.0322574,
        0.0312858,
        0.0300653,
        0.0293615,
        0.0289014,
        0.0287356,
        0.0296885,
        0.0299726,
        0.0304195,
        0.0308648,
        0.0315883,
        0.0319814,
        0.0319952,
        0.0314522,
        0.0311831,
        0.0305903,
        0.0302761,
        0.0307989,
        0.0315624,
        0.0317818,
        0.0333519,
        0.035766,
        0.037672,
        0.0381318,
        0.0388426,
        0.0393881,
        0.0413356,
        0.047549,
        0.0563476,
        0.0544518,
        0.0495129,
        0.0471633,
        0.0460813,
        0.0468597,
        0.0494492,
        0.0545654,
        0.0573893,
        0.0529097,
        0.0472547,
        0.0432228,
        0.0421068,
        0.0451452,
        0.0466621,
        0.0461393,
        0.0452404,
        0.0459331,
        0.0465748,
        0.0472467,
        0.0464666,
        0.0434113,
        0.0419572,
        0.0425873,
        0.0435972,
        0.0444308,
        0.0471668,
        0.0486667,
        0.0488497,
        0.0500977,
        0.0503687,
        0.053918,
        0.0624858,
        0.0754905,
        0.0916013,
        0.107793,
        0.110674,
        0.0966355,
        0.0796227,
        0.0678347,
        0.0645118,
        0.0639811,
        0.0590865,
        0.061724,
        0.0656208,
        0.0675813,
        0.0685313,
        0.0674838,
        0.0704174,
        0.0707687,
        0.0709418,
        0.0782175,
        0.0856225,
        0.0889126,
        0.09186,
        0.0941096,
        0.0959512,
        0.106607,
        0.110958,
        0.12543,
        0.120756,
        0.121431,
        0.127773,
        0.140105,
        0.15793,
        0.182977,
        0.211776,
        0.22721,
        0.249495,
        0.269652,
        0.340522,
        0.295214,
        0.226356,
        0.158163,
        0.125508,
        0.115651,
        0.0920764,
        0.0636467,
        0.0540419,
        0.0494215,
        0.0453857,
        0.0419391,
        0.0386552,
        0.0363965,
        0.0345848,
        0.0340354,
        0.0328382,
        0.0329261,
        0.0326498,
        0.0325534,
        0.0333614,
        0.0350463,
        0.043389,
        0.0517256,
        0.0481018,
        0.0428042,
        0.0364825,
        0.0317063,
        0.0290465,
        0.027652,
        0.0271781,
        0.0276236,
        0.0281084,
        0.0293637,
        0.0299604,
        0.0295439,
        0.0278616,
        0.02728,
        0.0275523,
        0.0278584,
        0.0299553,
        0.0354928,
        0.0427858,
        0.0490427,
        0.0515299,
        0.056971,
        0.0663021,
        0.0624561,
        0.0502504,
        0.0388682,
        0.0323354,
        0.0289432,
        0.0268242,
        0.0259051,
        0.0255422,
        0.0253505,
        0.0247926,
        0.0246098,
        0.025124,
        0.0249987,
        0.0250993,
        0.0248512,
        0.0245779,
        0.0248999,
        0.0258134,
        0.0279801,
        0.0330953,
        0.0397887,
        0.0419653,
        0.0375432,
        0.0331144,
        0.0297975,
        0.0293538,
        0.0314852,
        0.0354488,
        0.0370419,
        0.0333248,
        0.0291707,
        0.0264358,
        0.0251012,
        0.0283782,
        0.0278315,
        0.023464,
        0.023091,
        0.0230096,
        0.0232447,
        0.0230035,
        0.0230763,
        0.0230468,
        0.0229164,
        0.0232563,
        0.0234216,
        0.023169,
        0.0258709,
        0.0266065,
        0.0235575,
        0.0236873,
        0.0238412,
        0.0238714,
        0.0237106,
        0.0243786,
        0.0255951,
        0.0262572,
        0.027293,
        0.0297657,
        0.032429,
        0.033619,
        0.033212,
        0.0312803,
        0.0297708,
        0.0292636,
        0.0292219,
        0.0292696,
        0.0300425,
        0.0313276,
        0.0346913,
        0.0387437,
        0.0400299,
        0.0370162,
        0.0331925,
        0.0297799,
        0.0284144,
        0.028136,
        0.0278718,
        0.0277945,
        0.0299682,
        0.0335769,
        0.0391513,
        0.0411314,
        0.0370433,
        0.0369414,
        0.0327718,
        0.0264708,
        0.0251495,
        0.0240748,
        0.0236608,
        0.023461,
        0.023266,
        0.0235293,
        0.0232952,
        0.0230558,
        0.023268,
        0.0230353,
        0.0230193,
        0.023675,
        0.0242068,
        0.0245968,
        0.0249723,
        0.0246583,
        0.0242834,
        0.023817,
        0.0238584,
        0.0237795,
        0.0236328,
        0.0236959,
        0.0239815,
        0.0245647,
        0.0254457,
        0.0274878,
        0.0288958,
        0.0295069,
        0.029047,
        0.0292384,
        0.0318967,
        0.0379294,
        0.0448249,
        0.0490519,
        0.0551082,
        0.0511001,
        0.0428344,
        0.0376741,
        0.0346557,
        0.0325441,
        0.0308282,
        0.0301434,
        0.0310368,
        0.0328516,
        0.0336766,
        0.0355213,
        0.0392946,
        0.0440248,
        0.0503555,
        0.0545205,
        0.0523442,
        0.0484682,
        0.0441839,
        0.0380901,
        0.0348726,
        0.0331689,
        0.0315638,
        0.0311763,
        0.0305733,
        0.0308017,
        0.0313597,
        0.0332336,
        0.036861,
        0.0458701,
        0.0529451,
        0.0555971,
        0.0541522,
        0.0467114,
        0.0374599,
        0.0316591,
        0.0279494,
        0.0260808,
        0.0254906,
        0.0250882,
        0.0252713,
        0.0245346,
        0.024405,
        0.024341,
        0.0247539,
        0.0249947,
        0.0254874,
        0.0291786,
        0.0289641,
        0.0254604,
        0.0251196,
        0.0281954,
        0.0279474,
        0.0241383,
        0.0242893,
        0.0244457,
        0.0248915,
        0.0253712,
        0.0257523,
        0.0280111,
        0.0313936,
        0.0335481,
        0.0321313,
        0.0287676,
        0.0268808,
        0.0256172,
        0.0252182,
        0.0253145,
        0.0253919,
        0.0251712,
        0.0249577,
        0.0251281,
        0.0265189,
        0.0291308,
        0.0330735,
        0.0364937,
        0.034681,
        0.0312936,
        0.0280603,
        0.0263054,
        0.0254242,
        0.024754,
        0.0244695,
        0.0245168,
        0.0245785,
        0.0251456,
        0.025676,
        0.0259724,
        0.0262048,
        0.0260599,
        0.0260166,
        0.0256758,
        0.0259104,
        0.026248,
        0.0265047,
        0.0276242,
        0.0286057,
        0.0286666,
        0.0282632,
        0.0276792,
        0.0268326,
        0.027116,
        0.0274815,
        0.031649,
        0.0359855,
        0.0406157,
        0.0472608,
        0.0435175,
        0.0368495,
        0.0334024,
        0.0317416,
        0.0291833,
        0.0292631,
        0.0292164,
        0.0291209,
        0.0293798,
        0.0300623,
        0.0318928,
        0.0349727,
        0.037231,
        0.0383036,
        0.0384565,
        0.0371711,
        0.0356572,
        0.0359572,
        0.0388996,
        0.042678,
        0.0455736,
        0.0439743,
        0.0417615,
        0.0426498,
        0.0472691,
        0.0574906,
        0.0761967,
        0.0878354,
        0.0881122,
        0.0715414,
        0.0610451,
        0.0571164,
        0.0553301,
        0.0604787,
        0.0721503,
        0.0862244,
        0.116196,
        0.160396,
        0.275937,
        0.25472,
        0.183301,
        0.119011,
        0.0884496,
        0.0671501,
        0.0556438,
        0.0511937,
        0.0474075,
        0.0458988,
        0.0455268,
        0.0463289,
        0.0514879,
        0.0579382,
        0.0622156,
        0.0574646,
        0.0456174,
        0.0423072,
        0.0418642,
        0.0430473,
        0.0445001,
        0.0449388,
        0.0451199,
        0.0522992,
        0.0533493,
        0.0509344,
        0.0530032,
        0.0541425,
        0.0546197,
        0.0556792,
        0.0577333,
        0.0583927,
        0.0615748,
        0.0653591,
        0.0673659,
        0.0730914,
        0.0855046,
        0.0971923,
        0.108759,
        0.116478,
        0.120261,
        0.132358,
        0.14366,
        0.162898,
        0.206057,
        0.196694,
        0.173583,
        0.141771,
        0.110196,
        0.101136,
        0.0929748,
        0.0872821,
        0.0809697,
        0.0769558,
        0.0710951,
        0.0725266,
        0.0686917,
        0.0662528,
        0.0653319,
        0.06524,
        0.0674953,
        0.0718002,
        0.0720236,
        0.0777854,
        0.0881866,
        0.10078,
        0.115389,
        0.141139,
        0.185502,
        0.198048,
        0.190365,
        0.195136,
        0.179301,
        0.164407,
        0.133422,
        0.109001,
        0.0994955,
        0.0879447,
        0.0848596,
        0.0957791,
        0.105714,
        0.107252,
        0.0912766,
        0.0690497,
        0.0550844,
        0.0487846,
        0.0449585,
        0.0414396,
        0.0424627,
        0.0417148,
        0.0397949,
        0.0353848,
        0.0346528,
        0.0348676,
        0.0342174,
        0.0330558,
        0.0326987,
        0.0339222,
        0.0355669,
        0.0348423,
        0.0344861,
        0.0333974,
        0.0328464,
        0.0331556,
        0.0334818,
        0.0335879,
        0.0373382,
        0.0423555,
        0.0491761,
        0.0489672,
        0.0427113,
        0.0380787,
        0.0347768,
        0.0328409,
        0.0335746,
        0.036559,
        0.0423672,
        0.0438035,
        0.0399623,
        0.0357953,
        0.0326911,
        0.0305663,
        0.0300432,
        0.0300392,
        0.0294749,
        0.0286476,
        0.0300188,
        0.0309398,
        0.0303982,
        0.028732,
        0.0285212,
        0.0284987,
        0.0275439,
        0.0277846,
        0.0274494,
        0.028114,
        0.0291355,
        0.0313063,
        0.0343372,
        0.0352808,
        0.0330667,
        0.0367494,
        0.0328868,
        0.0277557,
        0.0272231,
        0.0273196,
        0.0263964,
        0.0275134,
        0.0271664,
        0.0270818,
        0.027732,
        0.0282152,
        0.0283155,
        0.0280805,
        0.0276512,
        0.0276966,
        0.0284311,
        0.0295276,
        0.0331932,
        0.0364691,
        0.0359673,
        0.0330325,
        0.0301048,
        0.0277281,
        0.0276983,
        0.0279413,
        0.0276101,
        0.0271946,
        0.0274838,
        0.0272138,
        0.0300537,
        0.030031,
        0.0291109,
        0.0287812,
        0.0268695,
        0.0267679,
        0.0275159,
        0.0273116,
        0.0272221,
        0.0271487,
        0.0278283,
        0.0283062,
        0.0284684,
        0.0281343,
        0.0290435,
        0.0293141,
        0.0299076,
        0.0311595,
        0.0343505,
        0.0393132,
        0.0482063,
        0.0543229,
        0.0536143,
        0.0533532,
        0.0535078,
        0.0519683,
        0.0528163,
        0.0534747,
        0.0570328,
        0.060752,
        0.0721263,
        0.0902725,
        0.120758,
        0.152731,
        0.16143,
        0.130792,
        0.109591,
        0.085201,
        0.0696772,
        0.0606015,
        0.0584895,
        0.0580228,
        0.0523076,
        0.0470745,
        0.0435209,
        0.039437,
        0.0358567,
        0.033652,
        0.0325828,
        0.0322202,
        0.0323388,
        0.0317396,
        0.0317383,
        0.0318941,
        0.035432,
        0.0415644,
        0.0495372,
        0.0544505,
        0.0573682,
        0.0510727,
        0.0431688,
        0.0382579,
        0.0381765,
        0.0408957,
        0.0427983,
        0.0407066,
        0.0354345,
        0.0316684,
        0.0293171,
        0.027585,
        0.0270602,
        0.0268001,
        0.0275232,
        0.0275564,
        0.0282643,
        0.0288692,
        0.0285822,
        0.0320231,
        0.0315495,
        0.0289021,
        0.0362551,
        0.0407613,
        0.0388306,
        0.0364486,
        0.0331422,
        0.0302099,
        0.0281541,
        0.0265638,
        0.0264113,
        0.0262723,
        0.0264574,
        0.0263072,
        0.0258801,
        0.0260436,
        0.0261291,
        0.0261105,
        0.0263373,
        0.0274276,
        0.0295787,
        0.0317782,
        0.0332409,
        0.0319584,
        0.0302145,
        0.0285549,
        0.0274925,
        0.0276838,
        0.0280083,
        0.0284492,
        0.0289506,
        0.0291759,
        0.0291378,
        0.0283637,
        0.0286414,
        0.0298218,
        0.0309551,
        0.0314761,
        0.03194,
        0.0314817,
        0.0295789,
        0.029247,
        0.029401,
        0.030792,
        0.0351579,
        0.039821,
        0.0421363,
        0.0384481,
        0.034499,
        0.0317889,
        0.0311868,
        0.0306439,
        0.0294121,
        0.0287851,
        0.0288757,
        0.0308927,
        0.0350511,
        0.0429404,
        0.045927,
        0.0423309,
        0.0371232,
        0.03299,
        0.0313843,
        0.0305741,
        0.0307325,
        0.0309675,
        0.031665,
        0.0318393,
        0.0318618,
        0.0322682,
        0.0331895,
        0.0335768,
        0.034332,
        0.0355524,
        0.0376846,
        0.0409044,
        0.0434249,
        0.0433982,
        0.0421901,
        0.0418036,
        0.0447206,
        0.0454164,
        0.0463577,
        0.0479306,
        0.0530702,
        0.0576925,
        0.061785,
        0.0672802,
        0.0782938,
        0.0892837,
        0.117181,
        0.135292,
        0.169388,
        0.183319,
        0.140065,
        0.11006,
        0.0905261,
        0.0772466,
        0.0659749,
        0.0611918,
        0.0557532,
        0.0529073,
        0.0499777,
        0.0453457,
        0.0441214,
        0.0423108,
        0.0415678,
        0.0400972,
        0.0393695,
        0.0388348,
        0.0391224,
        0.0400441,
        0.0425754,
        0.0485784,
        0.0595061,
        0.0624776,
        0.0566636,
        0.0526622,
        0.049415,
        0.0501994,
        0.0676389,
        0.0734844,
        0.0579183,
        0.0637407,
        0.071585,
        0.0942767,
        0.111522,
        0.144446,
        0.215453,
        0.255721,
        0.272946,
        0.204148,
        0.140071,
        0.122825,
        0.0989683,
        0.0703813,
        0.0611483,
        0.0540756,
        0.0486778,
        0.0442934,
        0.0415016,
        0.0397894,
        0.0398436,
        0.0410147,
        0.041638,
        0.0400273,
        0.0362979,
        0.033803,
        0.0330461,
        0.0316957,
        0.0314738,
        0.0302941,
        0.030299,
        0.0307033,
        0.0307922,
        0.0307829,
        0.0296267,
        0.0281458,
        0.0286197,
        0.0276579,
        0.0280199,
        0.0283751,
        0.0287349,
        0.0290671,
        0.0295403,
        0.0291437,
        0.0285922,
        0.028205,
        0.0286518,
        0.0300215,
        0.0334504,
        0.037193,
        0.0368596,
        0.0343127,
        0.0317065,
        0.0295916,
        0.0287351,
        0.0283111,
        0.0279744,
        0.0314514,
        0.0334466,
        0.0299491,
        0.0304197,
        0.0304596,
        0.0298771,
        0.0295682,
        0.0290901,
        0.029125,
        0.0296711,
        0.0293823,
        0.0296946,
        0.0335772,
        0.0349224,
        0.0318508,
        0.0327043,
        0.0347902,
        0.0372775,
        0.0383166,
        0.0385078,
        0.0408912,
        0.0450469,
        0.0579413,
        0.0611242,
        0.0536687,
        0.0512811,
        0.0494588,
        0.0523726,
        0.0574027,
        0.0613295,
        0.0676648,
        0.0788115,
        0.0941371,
        0.121113,
        0.157215,
        0.209054,
        0.258067,
        0.216481,
        0.160698,
        0.119891,
        0.0926184,
        0.0795929,
        0.0698735,
        0.0626995,
        0.0587553,
        0.0561318,
        0.049201,
        0.0432848,
        0.0392455,
        0.036859,
        0.0356706,
        0.0339517,
        0.0323598,
        0.0318074,
        0.0317915,
        0.0316824,
        0.0307141,
        0.031489,
        0.0323484,
        0.0334287,
        0.0335714,
        0.0311356,
        0.0308518,
        0.02993,
        0.0312455,
        0.0335172,
        0.0376926,
        0.0438866,
        0.0475106,
        0.0472661,
        0.0496278,
        0.0525796,
        0.0550573,
        0.0504576,
        0.0429128,
        0.0374904,
        0.0344831,
        0.0321757,
        0.0304121,
        0.0333367,
        0.0354373,
        0.0301073,
        0.0283844,
        0.0291114,
        0.0289385,
        0.0280915,
        0.027995,
        0.0286766,
        0.0288856,
        0.0307688,
        0.0329762,
        0.0364445,
        0.0393889,
        0.0389326,
        0.0361496,
        0.033402,
        0.0312005,
        0.0298413,
        0.0289898,
        0.0293303,
        0.0302522,
        0.032525,
        0.033187,
        0.0347362,
        0.0337101,
        0.0317231,
        0.0347343,
        0.0405407,
        0.034417,
        0.0302574,
        0.0311701,
        0.0312859,
        0.0313758,
        0.0314313,
        0.0305257,
        0.031707,
        0.0327116,
        0.0327586,
        0.0345451,
        0.037444,
        0.0377664,
        0.0383131,
        0.0385985,
        0.039542,
        0.0409677,
        0.0426614,
        0.045911,
        0.0482623,
        0.0514833,
        0.056047,
        0.0594515,
        0.0668685,
        0.0747395,
        0.0891591,
        0.104686,
        0.131781,
        0.153136,
        0.196195,
        0.254596,
        0.390212,
        0.381477,
        0.267996,
        0.187343,
        0.155941,
        0.135601,
        0.120539,
        0.105955,
        0.0855019,
        0.0687666,
        0.0599522,
        0.0532667,
        0.0479726,
        0.0457902,
        0.0448221,
        0.0448385,
        0.0432064,
        0.0410369,
        0.0382878,
        0.0365509,
        0.0346341,
        0.0333021,
        0.0317151,
        0.0321581,
        0.0317098,
        0.0314813,
        0.0309108,
        0.0303564,
        0.0295821,
        0.0296632,
        0.0291604,
        0.0285453,
        0.0287558,
        0.0290867,
        0.0286323,
        0.0281911,
        0.0282097,
        0.028684,
        0.028661,
        0.0284963,
        0.0288989,
        0.028773,
        0.0308989,
        0.0318834,
        0.0307969,
        0.0323174,
        0.0352534,
        0.0377508,
        0.0375262,
        0.0351603,
        0.0330829,
        0.0308661,
        0.0304784,
        0.0306127,
        0.0316284,
        0.0332948,
        0.037675,
        0.0417458,
        0.0431659,
        0.0415784,
        0.0382608,
        0.0356455,
        0.0342683,
        0.0336813,
        0.0336097,
        0.034104,
        0.0374633,
        0.0389749,
        0.0365327,
        0.0368658,
        0.0371486,
        0.0415404,
        0.0417956,
        0.0403846,
        0.0480038,
        0.0564928,
        0.0582531,
        0.061378,
        0.0550006,
        0.0468745,
        0.0436403,
        0.0382868,
        0.0351827,
        0.033715,
        0.0331971,
        0.0329778,
        0.0309965,
        0.0308908,
        0.0306964,
        0.0297896,
        0.0297701,
        0.0307785,
        0.0313075,
        0.0308582,
        0.032348,
        0.0363044,
        0.0394591,
        0.0403145,
        0.0381407,
        0.034024,
        0.0319272,
        0.0308253,
        0.0303953,
        0.0316972,
        0.0367312,
        0.0381131,
        0.0344981,
        0.0324824,
        0.0308783,
        0.0302578,
        0.0289987,
        0.0288573,
        0.0292675,
        0.0290666,
        0.0291375,
        0.0298577,
        0.0293204,
        0.0293857,
        0.0298309,
        0.0321487,
        0.0337987,
        0.0315338,
        0.0311383,
        0.0313146,
        0.0308565,
        0.0309308,
        0.0302463,
        0.0306935,
        0.0316204,
        0.0312044,
        0.0317127,
        0.0315584,
        0.0306209,
        0.0310681,
        0.0305102,
        0.0300941,
        0.030873,
        0.0334037,
        0.0362279,
        0.0389444,
        0.0398591,
        0.0379241,
        0.0354179,
        0.0336808,
        0.0319836,
        0.0317347,
        0.0308813,
        0.030803,
        0.0304307,
        0.03056,
        0.0312256,
        0.031828,
        0.0322156,
        0.0333788,
        0.0347905,
        0.0354023,
        0.035489,
        0.0345,
        0.0331549,
        0.0320502,
        0.0315843,
        0.0334859,
        0.034205,
        0.0320933,
        0.0336017,
        0.035543,
        0.0386057,
        0.0442068,
        0.0483948,
        0.0469803,
        0.0449795,
        0.0420768,
        0.0407273,
        0.0391339,
        0.0409688,
        0.0425809,
        0.0442602,
        0.0461573,
        0.0536038,
        0.0582686,
        0.0554919,
        0.05864,
        0.0628002,
        0.0664654,
        0.0668287,
        0.0709349,
        0.0795818,
        0.0882444,
        0.111692,
        0.134519,
        0.183958,
        0.280053,
        0.358564,
        0.238308,
        0.144671,
        0.109947,
        0.0939455,
        0.0791967,
        0.0729463,
        0.0659072,
        0.0586338,
        0.0520994,
        0.0499872,
        0.0481246,
        0.0464789,
        0.0442612,
        0.0429309,
        0.0423728,
        0.0409041,
        0.0409279,
        0.0399411,
        0.0384684,
        0.0377214,
        0.0418191,
        0.0420349,
        0.0411224,
        0.045236,
        0.0514347,
        0.0601257,
        0.0673808,
        0.0633382,
        0.0541785,
        0.0460355,
        0.0413295,
        0.0388105,
        0.0375305,
        0.0394195,
        0.0434389,
        0.0451322,
        0.0417879,
        0.0397685,
        0.0368983,
        0.0344619,
        0.0331418,
        0.0328897,
        0.032396,
        0.0359456,
        0.0373245,
        0.0348193,
        0.0345914,
        0.0351322,
        0.0332968,
        0.0353407,
        0.0387128,
        0.0436029,
        0.0499398,
        0.0510713,
        0.048862,
        0.0446198,
        0.040484,
        0.039262,
        0.0384807,
        0.0375572,
        0.0376435,
        0.039388,
        0.0406856,
        0.0424347,
        0.0460345,
        0.0512103,
        0.0526063,
        0.054447,
        0.0532559,
        0.0515465,
        0.049654,
        0.0469906,
        0.0430909,
        0.0408911,
        0.0404025,
        0.0383852,
        0.0373784,
        0.0369373,
        0.0351146,
        0.0339876,
        0.0343018,
        0.0362434,
        0.0382173,
        0.0345102,
        0.0347059,
        0.0348738,
        0.0344315,
        0.0343385,
        0.033996,
        0.034992,
        0.0367427,
        0.0394821,
        0.042582,
        0.043422,
        0.0410211,
        0.0391544,
        0.0371169,
        0.0359659,
        0.0349689,
        0.0352592,
        0.035267,
        0.0383494,
        0.0434193,
        0.050147,
        0.0521109,
        0.0475564,
        0.0436867,
        0.0394641,
        0.0353939,
        0.033886,
        0.0326966,
        0.0323365,
        0.0324896,
        0.0348502,
        0.0346216,
        0.0327008,
        0.0321065,
        0.0327196,
        0.0325674,
        0.0330952,
        0.033592,
        0.032537,
        0.0324258,
        0.032043,
        0.0317691,
        0.0321898,
        0.0322378,
        0.0326984,
        0.0338489,
        0.0362402,
        0.0368369,
        0.0347367,
        0.0354929,
        0.0348024,
        0.0341152,
        0.034062,
        0.0337457,
        0.0342631,
        0.0342277,
        0.0346068,
        0.0352096,
        0.0360232,
        0.0379272,
        0.0406295,
        0.0430195,
        0.0434337,
        0.0418019,
        0.0399282,
        0.0377936,
        0.0366907,
        0.0358585,
        0.0360063,
        0.0368229,
        0.0361767,
        0.0359051,
        0.0366373,
        0.0382384,
        0.040567,
        0.0452527,
        0.0504468,
        0.0495185,
        0.04613,
        0.0426454,
        0.0415738,
        0.0397799,
        0.0396627,
        0.0400231,
        0.0405515,
        0.040881,
        0.042045,
        0.0444588,
        0.0457282,
        0.0487206,
        0.0542526,
        0.0656033,
        0.0783641,
        0.0789783,
        0.0789273,
        0.0808628,
        0.0829922,
        0.078015,
        0.074803,
        0.073305,
        0.0760967,
        0.083245,
        0.0920508,
        0.104605,
        0.133602,
        0.163995,
        0.245861,
        0.258031,
        0.18877,
        0.137445,
        0.133175,
        0.12197,
        0.127108,
        0.11319,
        0.0977193,
        0.0823044,
        0.0738486,
        0.0667692,
        0.0616485,
        0.0573358,
        0.0557601,
        0.0516557,
        0.0512341,
        0.051243,
        0.0514711,
        0.0528067,
        0.0508702,
        0.0496713,
        0.0483589,
        0.0481824,
        0.0497,
        0.0500512,
        0.0503302,
        0.0605507,
        0.0599831,
        0.0588351,
        0.0661116,
        0.0691973,
        0.0745971,
        0.0728202,
        0.0840415,
        0.100828,
        0.124114,
        0.165822,
        0.209602,
        0.278096,
        0.237167,
        0.18427,
        0.158021,
        0.140617,
        0.119852,
        0.104239,
        0.0994355,
        0.100874,
        0.10403,
        0.121871,
        0.132475,
        0.153209,
        0.161588,
        0.203124,
        0.218048,
        0.196019,
        0.211834,
        0.20535,
        0.171857,
        0.145598,
        0.135064,
        0.126782,
        0.124372,
        0.109418,
        0.0993417,
        0.0900493,
        0.0843817,
        0.073276,
        0.0695493,
        0.0653841,
        0.0604411,
        0.0572043,
        0.0530759,
        0.0566361,
        0.0611327,
        0.0661603,
        0.0596072,
        0.0542147,
        0.0497814,
        0.0464485,
        0.0444483,
        0.044233,
        0.0424192,
        0.0419829,
        0.0407207,
        0.0403546,
        0.0400896,
        0.0411462,
        0.0403112,
        0.0398436,
        0.0438982,
        0.0448413,
        0.0376859,
        0.0378638,
        0.0386135,
        0.0379795,
        0.0373094,
        0.0378316,
        0.0371516,
        0.0378623,
        0.0403065,
        0.0430494,
        0.0454822,
        0.0454905,
        0.0426793,
        0.040445,
        0.0387383,
        0.0379331,
        0.0371733,
        0.037043,
        0.037248,
        0.0384261,
        0.0379824,
        0.0374696,
        0.0378299,
        0.0368096,
        0.0364569,
        0.0364387,
        0.0364195,
        0.037052,
        0.0374609,
        0.0375508,
        0.0375871,
        0.0360102,
        0.0363389,
        0.0376623,
        0.0370259,
        0.0369643,
        0.0383417,
        0.0394708,
        0.0403207,
        0.0452838,
        0.0512026,
        0.0523447,
        0.0490663,
        0.0455904,
        0.0425054,
        0.041652,
        0.0427513,
        0.046646,
        0.0523455,
        0.055545,
        0.0534647,
        0.0515814,
        0.0497119,
        0.0483836,
        0.0481256,
        0.0446387,
        0.0450159,
        0.0433183,
        0.0436432,
        0.0456677,
        0.0514829,
        0.0572746,
        0.0570597,
        0.0536706,
        0.0500111,
        0.0483735,
        0.0468607,
        0.0494797,
        0.051184,
        0.0479119,
        0.0470717,
        0.0463143,
        0.0476177,
        0.0517704,
        0.055861,
        0.0588834,
        0.0582309,
        0.0558354,
        0.0531863,
        0.0514232,
        0.0506551,
        0.051526,
        0.05298,
        0.0550428,
        0.0605813,
        0.0644099,
        0.0682556,
        0.0734669,
        0.0735813,
        0.075099,
        0.0691305,
        0.070806,
        0.0697315,
        0.0705565,
        0.0733144,
        0.081883,
        0.0865054,
        0.100322,
        0.113261,
        0.136686,
        0.177434,
        0.241802,
        0.265553,
        0.185643,
        0.139115,
        0.114544,
        0.10588,
        0.0989377,
        0.0985262,
        0.100921,
        0.0887051,
        0.0755806,
        0.0660956,
        0.0625721,
        0.0591205,
        0.0595103,
        0.0563251,
        0.0576908,
        0.0628144,
        0.0699939,
        0.0643145,
        0.0596014,
        0.0547718,
        0.0528114,
        0.051728,
        0.0526345,
        0.0524741,
        0.05224,
        0.050945,
        0.0502904,
        0.0484709,
        0.0465184,
        0.0469947,
        0.047084,
        0.0450682,
        0.044089,
        null,
        0.115326,
        0.114346,
        0.116286,
        0.11994,
        0.128157,
        0.154154,
        0.191013,
        0.252861,
        0.277966,
        0.209751,
        0.161357,
        0.136564,
        0.121638,
        0.118756,
        0.11871,
        0.121393,
        0.135446,
        0.160251,
        0.173927,
        0.221885,
        0.332234,
        0.331251,
        0.264629,
        0.206803,
        0.190011,
        0.201525,
        0.214067,
        0.222881,
        0.235767,
        0.297382,
        0.29943,
        0.289174,
        null,
        0.173107,
        0.14051,
        0.128121,
        0.113182,
        0.102169,
        0.10051,
        0.0911449,
        0.0794078,
        0.0741443,
        0.0706356,
        0.0660226,
        0.0634968,
        0.0606992,
        0.0568729,
        0.0559022,
        0.0583868,
        0.0554703,
        0.0500273,
        0.049113,
        0.0484469,
        0.0482753,
        0.046878,
        0.0448576,
        0.0434342,
        0.0435032,
        0.0439753,
        0.0446894,
        0.0450872,
        0.0432555,
        0.0423985,
        0.0412184,
        0.0408083,
        0.0405431,
        0.0400701,
        0.0395686,
        0.0399804,
        0.0407338,
        0.0409414,
        0.0404245,
        0.0401045,
        0.0400544,
        0.0399974,
        0.038879,
        0.0393454,
        0.0395008,
        0.0387451,
        0.0394942,
        0.0399884,
        0.0418153,
        0.0443395,
        0.0465444,
        0.0505713,
        0.0575241,
        0.0644624,
        0.0648083,
        0.0610785,
        0.0549211,
        0.0491234,
        0.0450708,
        0.0423453,
        0.040267,
        0.0385088,
        0.0383605,
        0.0370161,
        0.0355688,
        0.0346964,
        0.0344494,
        0.0337971,
        0.0343174,
        0.0342425,
        0.0346402,
        0.035595,
        0.0362378,
        0.0369693,
        0.0364485,
        0.0356207,
        0.0343303,
        0.0338431,
        0.0338853,
        0.0335648,
        0.0332236,
        0.0322065,
        0.031894,
        0.0319359,
        0.0319911,
        0.0333995,
        0.0366843,
        0.0394351,
        0.0406038,
        0.0418242,
        0.0398709,
        0.0374568,
        0.0371316,
        0.0368266,
        0.0387821,
        0.0426196,
        0.0452491,
        0.0458586,
        0.0461356,
        0.0481285,
        0.0495422,
        0.0528984,
        0.054486,
        0.0552213,
        0.0517884,
        0.0486811,
        0.0462187,
        0.0440037,
        0.0418259,
        0.0406236,
        0.0394536,
        0.0381455,
        0.0358131,
        0.0343449,
        0.0331183,
        0.0324422,
        0.032192,
        0.032433,
        0.0338084,
        0.032293,
        0.0309552,
        0.0308669,
        0.0309234,
        0.0313928,
        0.032718,
        0.0337871,
        0.0334348,
        0.0327795,
        0.0332181,
        0.0364819,
        0.0376331,
        0.0342372,
        0.0323974,
        0.030962,
        0.0304002,
        0.0301116,
        0.0301362,
        0.030713,
        0.031161,
        0.03183,
        0.0327112,
        0.0322974,
        0.0322609,
        0.0324537,
        0.0334131,
        0.0336123,
        0.0317046,
        0.0317117,
        0.0318469,
        0.0323239,
        0.0329176,
        0.032854,
        0.0330869,
        0.0346716,
        0.0357866,
        0.0375007,
        0.0386865,
        0.0401477,
        0.0437283,
        0.0501482,
        0.05944,
        0.0702965,
        0.0775711,
        0.077384,
        0.069133,
        0.0615797,
        0.0555202,
        0.0513447,
        0.048502,
        0.0459659,
        0.0432661,
        0.0392916,
        0.037438,
        0.0362019,
        0.0353495,
        0.0349732,
        0.034756,
        0.0342475,
        0.0332497,
        0.034083,
        0.032921,
        0.0308698,
        0.030173,
        0.0301529,
        0.029681,
        0.0292744,
        0.0298949,
        0.0307227,
        0.0339271,
        0.0356536,
        0.0333176,
        0.031769,
        0.0324845,
        0.0336304,
        0.034194,
        0.0340422,
        0.0321532,
        0.0304114,
        0.0292636,
        0.0289462,
        0.0285226,
        0.0288973,
        0.0293168,
        0.03119,
        0.0323356,
        0.0334527,
        0.0340883,
        0.0329577,
        0.0324805,
        0.0324024,
        0.0336642,
        0.0344261,
        0.0352833,
        0.0370346,
        0.0374559,
        0.0379831,
        0.0371087,
        0.0361225,
        0.036871,
        0.0380691,
        0.039813,
        0.0428946,
        0.0461035,
        0.0492142,
        0.0515423,
        0.0576563,
        0.0576887,
        0.047002,
        0.0444462,
        0.0436825,
        0.044929,
        0.0442708,
        0.0423254,
        0.0392554,
        0.0370651,
        0.035648,
        0.0347026,
        0.0340216,
        0.0339389,
        0.0340362,
        0.0342149,
        0.0349933,
        0.0353961,
        0.0368757,
        0.0370111,
        0.0377065,
        0.0385,
        0.0389168,
        0.0393882,
        0.0390258,
        0.0401621,
        0.0423539,
        0.0439999,
        0.0449001,
        0.0447332,
        0.0429321,
        0.04261,
        0.0432999,
        0.0447286,
        0.0461322,
        0.0481244,
        0.0530155,
        0.0583243,
        0.0634169,
        0.070533,
        0.0785958,
        0.0875236,
        0.0942988,
        0.100867,
        0.115896,
        0.122496,
        0.12396,
        0.139391,
        0.170899,
        0.209738,
        0.286922,
        0.251727,
        0.191801,
        0.156358,
        0.141419,
        0.112793,
        0.0961043,
        0.0866141,
        0.079238,
        0.0718705,
        0.065858,
        0.062231,
        0.0599374,
        0.056213,
        0.0538344,
        0.0530299,
        0.0542827,
        0.052488,
        0.0496711,
        0.0492694,
        0.0470419,
        0.045798,
        0.0448896,
        0.0500236,
        0.0507591,
        0.045415,
        0.046109,
        0.04417,
        0.0437579,
        0.0423605,
        0.0414998,
        0.0420102,
        0.040948,
        0.0409962,
        0.0406176,
        0.0402988,
        0.0415118,
        0.0430264,
        0.0434295,
        0.0446252,
        0.0478999,
        0.0495787,
        0.0538827,
        0.0590844,
        0.0703904,
        0.0893556,
        0.118799,
        0.139906,
        0.217777,
        0.213835,
        0.150995,
        0.110675,
        0.0855404,
        0.0698574,
        0.0622963,
        0.054418,
        0.0495429,
        0.0475097,
        0.0442354,
        0.0423005,
        0.0412942,
        0.0388796,
        0.0395911,
        0.0391808,
        0.0406715,
        0.0424166,
        0.0400495,
        0.0400514,
        0.0406061,
        0.0407824,
        0.0392392,
        0.037972,
        0.0363734,
        0.0353338,
        0.0353806,
        0.0358176,
        0.0351624,
        0.0345109,
        0.037938,
        0.0377938,
        0.0320563,
        0.0319788,
        0.031581,
        0.0316256,
        0.03155,
        0.0317511,
        0.0368551,
        0.0354701,
        0.0323666,
        0.032443,
        0.0338677,
        0.0356745,
        0.037802,
        0.0411944,
        0.0464127,
        0.0509498,
        0.0566497,
        0.0635994,
        0.078102,
        0.0946317,
        0.116351,
        0.113535,
        0.0988962,
        0.0878086,
        0.0785662,
        0.0736246,
        0.0719881,
        0.0686206,
        0.0587441,
        0.0538961,
        0.0485049,
        0.0437987,
        0.045874,
        0.0437862,
        0.0362469,
        0.0345604,
        0.0332516,
        0.0329842,
        0.0390797,
        0.0389997,
        0.032237,
        0.031368,
        0.031527,
        0.0310819,
        0.0305532,
        0.0306321,
        0.0310627,
        0.0332603,
        0.0357337,
        0.0385186,
        0.0389841,
        0.0369915,
        0.0353338,
        0.0336929,
        0.0332954,
        0.0332107,
        0.0346558,
        0.035913,
        0.0412845,
        0.0446854,
        0.0462967,
        0.0488672,
        0.0504443,
        0.0474705,
        0.0448583,
        0.0404275,
        0.0386027,
        0.03627,
        0.0344031,
        0.0332285,
        0.0324905,
        0.032259,
        0.0324204,
        0.0313103,
        0.0303454,
        0.0311802,
        0.0306328,
        0.0292528,
        0.0295974,
        0.0289449,
        0.0294887,
        0.0292992,
        0.0300091,
        0.0305197,
        0.0306774,
        0.0310499,
        0.0325679,
        0.0330491,
        0.0340095,
        0.0353861,
        0.0382678,
        0.0405682,
        0.0414623,
        0.0418177,
        0.0437504,
        0.0470925,
        0.05093,
        0.0587837,
        0.0658014,
        0.0718629,
        0.0774659,
        0.085079,
        0.0875494,
        0.0905762,
        0.0799865,
        0.0728498,
        0.0660205,
        0.0592087,
        0.0559797,
        0.0508119,
        0.0479786,
        0.0456534,
        0.0436588,
        0.0443628,
        0.0453279,
        0.046701,
        0.048565,
        0.0434954,
        0.0405379,
        0.0382174,
        0.0369557,
        0.0359726,
        0.0357554,
        0.0351811,
        0.036356,
        0.039157,
        0.0401533,
        0.0384483,
        0.0400456,
        0.0411115,
        0.0434706,
        0.045978,
        0.0487157,
        0.0535443,
        0.0600367,
        0.0674949,
        0.0817212,
        0.100574,
        0.131596,
        0.167678,
        0.211194,
        0.189278,
        0.141732,
        0.108242,
        0.0875428,
        0.0760157,
        0.065711,
        0.0569984,
        0.0533654,
        0.0517534,
        0.0503012,
        0.0496888,
        0.0482054,
        0.0453266,
        0.041357,
        0.0392968,
        0.0379558,
        0.0373888,
        0.0371157,
        0.0362885,
        0.0369396,
        0.0367866,
        0.0355899,
        0.0371686,
        0.0372723,
        0.0356927,
        0.0353441,
        0.0351326,
        0.0355561,
        0.0349422,
        0.0347798,
        0.035935,
        0.0340583,
        0.0321772,
        0.0305161,
        0.0301185,
        0.0315599,
        0.0313962,
        0.029222,
        0.0294125,
        0.0289671,
        0.0288024,
        0.0290682,
        0.0297799,
        0.0290106,
        0.0293759,
        0.0292456,
        0.0302588,
        0.0313597,
        0.0328724,
        0.0353105,
        0.0383269,
        0.0414437,
        0.0442688,
        0.0483839,
        0.0495166,
        0.0481831,
        0.0440076,
        0.0405494,
        0.0380252,
        0.0354075,
        0.03453,
        0.0332378,
        0.0326708,
        0.0324143,
        0.0324193,
        0.0324519,
        0.0340934,
        0.0343241,
        0.0342825,
        0.0341572,
        0.0341679,
        0.033544,
        0.0332016,
        0.0331405,
        0.0333264,
        0.0337915,
        0.0351761,
        0.0366453,
        0.0387245,
        0.0406639,
        0.0438089,
        0.0445828,
        0.0435429,
        0.0423212,
        0.0403017,
        0.0383155,
        0.0347318,
        0.0333197,
        0.0318803,
        0.0305303,
        0.0297101,
        0.0294528,
        0.0293301,
        0.0299875,
        0.0298454,
        0.0293294,
        0.0288703,
        0.0280837,
        0.0279366,
        0.0273661,
        0.0277391,
        0.027603,
        0.0281181,
        0.0299804,
        0.0308634,
        0.0320524,
        0.0349215,
        0.0361526,
        0.0338933,
        0.0331061,
        0.0316384,
        0.0312919,
        0.0307762,
        0.0308825,
        0.0309573,
        0.0320331,
        0.032722,
        0.0340748,
        0.0348279,
        0.0362336,
        0.0361407,
        0.0336909,
        0.0321744,
        0.0312035,
        0.0318825,
        0.0329036,
        0.0328158,
        0.0324452,
        0.0318888,
        0.0324755,
        0.0327614,
        0.0326197,
        0.0325563,
        0.031503,
        0.0308974,
        0.0303334,
        0.0306494,
        0.0312301,
        0.0320079,
        0.03301,
        0.0348275,
        0.0368295,
        0.0372666,
        0.0369674,
        0.0369014,
        0.0372971,
        0.0376786,
        0.0388438,
        0.0389862,
        0.0385887,
        0.0386851,
        0.0378254,
        0.0376949,
        0.0386052,
        0.039889,
        0.0419759,
        0.0449092,
        0.045834,
        0.0456557,
        0.0474232,
        0.0486866,
        0.0499747,
        0.053202,
        0.058728,
        0.0641451,
        0.073981,
        0.084536,
        0.0985752,
        0.124631,
        0.160297,
        0.219134,
        0.206587,
        0.167212,
        0.13414,
        0.116353,
        0.0946711,
        0.0833837,
        0.0737821,
        0.0687551,
        0.0625005,
        0.0603447,
        0.0538233,
        0.0521415,
        0.0506876,
        0.0486297,
        0.0463637,
        0.0457013,
        0.0432327,
        0.0420553,
        0.040925,
        0.0403326,
        0.0395248,
        0.0376717,
        0.0377041,
        0.0382515,
        0.0396841,
        0.04118,
        0.0413568,
        0.03958,
        0.036022,
        0.0337011,
        0.0322954,
        0.0319165,
        0.0322936,
        0.0319769,
        0.0319133,
        0.0323695,
        0.0317212,
        0.0317993,
        0.0316867,
        0.0321021,
        0.0322194,
        0.0323342,
        0.0336588,
        0.0345105,
        0.0382788,
        0.0416022,
        0.0407336,
        0.0441059,
        0.0487967,
        0.0499134,
        0.0485599,
        0.0466144,
        0.0435301,
        0.0419333,
        0.0406619,
        0.0370069,
        0.0359557,
        0.0348389,
        0.0347858,
        0.0354368,
        0.0380138,
        0.0381086,
        0.0337993,
        0.0349187,
        0.0372162,
        0.0396555,
        0.0484556,
        0.0509013,
        0.0514378,
        0.0520446,
        0.0490158,
        0.0479639,
        0.0429808,
        0.0392469,
        0.0383939,
        0.0356763,
        0.0341773,
        0.0331067,
        0.0318479,
        0.0323349,
        0.0314219,
        0.0315979,
        0.0319911,
        0.0317995,
        0.0317693,
        0.032299,
        0.0323848,
        0.0337668,
        0.0344299,
        0.0346087,
        0.0354201,
        0.0449611,
        0.046931,
        0.038505,
        0.0360563,
        0.0334868,
        0.0320332,
        0.0308233,
        0.0296893,
        0.0291509,
        0.0297741,
        0.0311975,
        0.0303543,
        0.0292676,
        0.03016,
        0.0319393,
        0.0333805,
        0.0322263,
        0.0309975,
        0.0307743,
        0.0295987,
        0.0293722,
        0.0292532,
        0.0315102,
        0.0312579,
        0.0302226,
        0.0315767,
        0.0311629,
        0.0303204,
        0.0304807,
        0.0309494,
        0.0327841,
        0.0343585,
        0.0348033,
        0.0350252,
        0.0347446,
        0.0345318,
        0.0340141,
        0.0338308,
        0.0335148,
        0.0352669,
        0.0361175,
        0.038145,
        0.0385213,
        0.0399272,
        0.0397436,
        0.0381701,
        0.0363836,
        0.0345807,
        0.0347398,
        0.0362721,
        0.0375772,
        0.0374932,
        0.0372968,
        0.0377303,
        0.0369501,
        0.0364058,
        0.0361037,
        0.0378145,
        0.0392823,
        0.0397842,
        0.0401101,
        0.04054,
        0.0427479,
        0.0429744,
        0.0430082,
        0.0444544,
        0.0459102,
        0.0479915,
        0.0514079,
        0.054839,
        0.0570617,
        0.0622628,
        0.0682391,
        0.0777635,
        0.0923225,
        0.106291,
        0.121593,
        0.147051,
        0.18988,
        0.263888,
        0.265905,
        0.182749,
        0.150346,
        0.125984,
        0.105599,
        0.0919051,
        0.0815737,
        0.0787131,
        0.0841736,
        0.0705984,
        0.0612539,
        0.0584007,
        0.0585033,
        0.0569222,
        0.0590958,
        0.0636741,
        0.0692009,
        0.0762669,
        0.0838821,
        0.0834161,
        0.0910824,
        0.0817439,
        0.0670385,
        0.0578482,
        0.0508949,
        0.0478344,
        0.0458499,
        0.0439373,
        0.0426673,
        0.0405129,
        0.041606,
        0.0422259,
        0.0449168,
        0.0475165,
        0.0438952,
        0.0448095,
        0.0440054,
        0.0415702,
        0.0402475,
        0.0401615,
        0.0392873,
        0.039954,
        0.0414875,
        0.0434876,
        0.044832,
        0.0500877,
        0.0520787,
        0.0481021,
        0.0428714,
        0.0422185,
        0.0414532,
        0.0411402,
        0.0408493,
        0.0415995,
        0.0417882,
        0.0429537,
        0.0440386,
        0.0449467,
        0.0437128,
        0.0429279,
        0.0418474,
        0.0392284,
        0.0368141,
        0.0353689,
        0.0334955,
        0.0331216,
        0.0325352,
        0.0351201,
        0.035104,
        0.0340363,
        0.0335599,
        0.0330092,
        0.0332023,
        0.0354252,
        0.0395389,
        0.0400412,
        0.0378491,
        0.0365569,
        0.0349218,
        0.0347892,
        0.0350445,
        0.0338665,
        0.0320802,
        0.0306139,
        0.0305766,
        0.0310183,
        0.0298757,
        0.0301838,
        0.0308137,
        0.0310379,
        0.0306034,
        0.0309371,
        0.030545,
        0.0297387,
        0.0294249,
        0.0293855,
        0.0289807,
        0.0289459,
        0.0286585,
        0.0286603,
        0.0293292,
        0.0297138,
        0.0291831,
        0.0292841,
        0.0291072,
        0.0288219,
        0.0287677,
        0.0290381,
        0.0315188,
        0.0311959,
        0.029195,
        0.0298054,
        0.0286968,
        0.0290169,
        0.0295301,
        0.0297111,
        0.0308746,
        0.0321661,
        0.0335931,
        0.0324124,
        0.0335575,
        0.0348318,
        0.0329811,
        0.0332555,
        0.0338813,
        0.0335503,
        0.0337696,
        0.0337385,
        0.0335926,
        0.0336027,
        0.0343741,
        0.0352338,
        0.0361984,
        0.0372815,
        0.0380512,
        0.0364993,
        0.0365589,
        0.0381968,
        0.0385802,
        0.037792,
        0.0376266,
        0.0379625,
        0.0378447,
        0.0387393,
        0.0403882,
        0.0412738,
        0.0497752,
        0.0462443,
        0.0424294,
        0.0412846,
        0.042127,
        0.0424975,
        0.0429018,
        0.0456032,
        0.050646,
        0.0521493,
        0.0491185,
        0.0512048,
        0.0559215,
        0.064056,
        0.0661721,
        0.06504,
        0.0707518,
        0.0798386,
        0.0898433,
        0.106254,
        0.117439,
        0.130195,
        0.151167,
        0.196732,
        0.247345,
        0.315787,
        0.243176,
        0.178223,
        0.144825,
        0.113806,
        0.103485,
        0.0912091,
        0.0817369,
        0.0773227,
        0.0722647,
        0.06227,
        0.0592019,
        0.057996,
        0.0548575,
        0.0538901,
        0.0509292,
        0.0475468,
        0.0486194,
        0.0501095,
        0.048418,
        0.0490752,
        0.0498827,
        0.0501056,
        0.0482168,
        0.0476727,
        0.0475579,
        0.0467493,
        0.0455526,
        0.0443434,
        0.0437052,
        0.0422339,
        0.0427206,
        0.0416725,
        0.0407441,
        0.04137,
        0.0411831,
        0.0420756,
        0.0432329,
        0.0459929,
        0.0518395,
        0.0566891,
        0.059211,
        0.0622521,
        0.065014,
        0.0623449,
        0.0598039,
        0.056225,
        0.0501479,
        0.0454873,
        0.0422631,
        0.0405727,
        0.0382622,
        0.0374669,
        0.0365077,
        0.0354179,
        0.0351567,
        0.0349725,
        0.0346874,
        0.0347535,
        0.0356643,
        0.0350373,
        0.0336233,
        0.0337795,
        0.033753,
        0.0349427,
        0.0348788,
        0.0350667,
        0.0366487,
        0.0373731,
        0.0373625,
        0.0406735,
        0.0398859,
        0.0356431,
        0.0353275,
        0.0359464,
        0.0368405,
        0.0371238,
        0.0357618,
        0.0345362,
        0.0336966,
        0.0336146,
        0.0335457,
        0.0336749,
        0.0343217,
        0.0350722,
        0.0343763,
        0.036414,
        0.0353634,
        0.0338481,
        0.0342515,
        0.0339127,
        0.0340043,
        0.0343349,
        0.0348848,
        0.0353997,
        0.0354937,
        0.0353348,
        0.0359611,
        0.0352087,
        0.0365241,
        0.0376557,
        0.0382105,
        0.0375769,
        0.0369832,
        0.0369328,
        0.0366044,
        0.0359942,
        0.0364045,
        0.0362047,
        0.0362861,
        0.0366836,
        0.0368156,
        0.0372488,
        0.038031,
        0.0383672,
        0.0394638,
        0.0414963,
        0.0399525,
        0.0388386,
        0.0393217,
        0.0398364,
        0.0389832,
        0.0394339,
        0.0392956,
        0.039727,
        0.0394985,
        0.0392602,
        0.0393987,
        0.0386979,
        0.0393941,
        0.0423557,
        0.0423056,
        0.0410746,
        0.0406679,
        0.0406099,
        0.0428462,
        0.0475384,
        0.0470802,
        0.0457108,
        0.0459479,
        0.0463968,
        0.0463512,
        0.0471829,
        0.0498549,
        0.0509398,
        0.0494137,
        0.0510739,
        0.0520825,
        0.0524604,
        0.0530507,
        0.0545278,
        0.0552907,
        0.0580514,
        0.0593644,
        0.0630273,
        0.0724152,
        0.0724998,
        0.0697212,
        0.0745337,
        0.0796707,
        0.0863091,
        0.0899545,
        0.0940946,
        0.10043,
        0.111401,
        0.117353,
        0.128653,
        0.146974,
        0.166681,
        0.188989,
        0.247342,
        0.316913,
        0.297451,
        0.191093,
        0.175059,
        0.162771,
        0.151191,
        0.138988,
        0.148813,
        0.140807,
        0.152212,
        0.137581,
        0.117596,
        0.10901,
        0.102199,
        0.0909417,
        0.0890857,
        0.0890417,
        0.0911493,
        0.0836877,
        0.0821476,
        0.0793146,
        0.0778103,
        0.0788649,
        0.0755803,
        0.0706505,
        0.0689251,
        0.0645217,
        0.0662027,
        0.0657318,
        0.0699751,
        0.0612423,
        0.0606555,
        0.0589773,
        0.0570174,
        0.0567965,
        0.0576257,
        0.0579118,
        0.0570117,
        0.0561402,
        0.0567487,
        0.0546599,
        0.0585988,
        0.0593472,
        0.0601043,
        0.0580986,
        0.0582686,
        0.0605676,
        0.0604153,
        0.0588635,
        0.0599907,
        0.0598808,
        0.0592066,
        0.0606029,
        0.0609975,
        0.0616417,
        0.0628459,
        0.0643335,
        0.0647787,
        0.0653223,
        0.0706843,
        0.0696952,
        0.0683259,
        0.0700795,
        0.0719139,
        0.0741363,
        0.0746298,
        0.0792878,
        0.0838897,
        0.0859968,
        0.0883919,
        0.0920099,
        0.0980044,
        0.108093,
        0.116251,
        0.125958,
        0.126627,
        0.136897,
        0.164058,
        0.177069,
        0.200917,
        0.236776,
        0.212737,
        0.209892,
        0.190713,
        0.181848,
        0.187171,
        0.173574,
        0.172512,
        0.157903,
        0.156535,
        0.15287,
        0.157186,
        0.152263,
        0.165879,
        0.155544,
        0.152013,
        0.15637,
        0.1738,
        0.180226,
        0.201086,
        0.252724,
        0.267623,
        0.327779,
        0.219598,
        0.192907,
        0.15976,
        0.138053,
        0.130176,
        0.117611,
        0.112989,
        0.113456,
        0.104791,
        0.0998619,
        0.0940382,
        0.0908723,
        0.0861996,
        0.0806,
        0.0788391,
        0.0783552,
        0.0763823,
        0.0710959,
        0.0665761,
        0.0686123,
        0.0684168,
        0.0658373,
        0.0647988,
        0.0632011,
        0.0614201,
        0.0607657,
        0.0602352,
        0.0609665,
        0.06236,
        0.0622999,
        0.0631198,
        0.0643506,
        0.0625266,
        0.060171,
        0.0568524,
        0.0561553,
        0.0553491,
        0.0540523,
        0.0519141,
        0.0514459,
        0.0499522,
        0.0491932,
        0.0484253,
        0.0480321,
        0.0474722,
        0.0479078,
        0.047445,
        0.0465264,
        0.0463052,
        0.0512021,
        0.0534675,
        0.0457575,
        0.0443582,
        0.0438186,
        0.0430445,
        0.0427322,
        0.0432551,
        0.0432771,
        0.0436384,
        0.0444928,
        0.0445316,
        0.0437318,
        0.0436543,
        0.0501215,
        0.0485184,
        0.0436321,
        0.0430814,
        0.0429111,
        0.0419217,
        0.0455383,
        0.0449354,
        0.0404958,
        0.0408469,
        0.0401023,
        0.0399365,
        0.0399978,
        0.0385324,
        0.0388267,
        0.0386102,
        0.040605,
        0.039886,
        0.0390447,
        0.0388767,
        0.0388101,
        0.0396485,
        0.0389951,
        0.0392386,
        0.0393369,
        0.0401295,
        0.040267,
        0.0420091,
        0.0430569,
        0.0422617,
        0.0435643,
        0.0426304,
        0.043687,
        0.0433254,
        0.0407737,
        0.0402369,
        0.040642,
        0.0412911,
        0.040654,
        0.0407612,
        0.0421436,
        0.0431345,
        0.0424778,
        0.0434802,
        0.0432052,
        0.043791,
        0.04326,
        0.0424659,
        0.042254,
        0.0423371,
        0.042786,
        0.0442178,
        0.0437192,
        0.0419861,
        0.0425109,
        0.0417153,
        0.0419939,
        0.042243,
        0.0411526,
        0.0410742,
        0.0407344,
        0.0415884,
        0.0422026,
        0.0427994,
        0.0422832,
        0.0427739,
        0.0433006,
        0.0432379,
        0.0446714,
        0.0458785,
        0.0431747,
        0.0429631,
        0.0431868,
        0.044355,
        0.0438455,
        0.0439991,
        0.0459626,
        0.046731,
        0.0473015,
        0.0459261,
        0.0478302,
        0.0495054,
        0.0500687,
        0.0503312,
        0.049631,
        0.0501073,
        0.0518835,
        0.054652,
        0.0561192,
        0.0592326,
        0.0608476,
        0.0613472,
        0.0622978,
        0.0634513,
        0.0663866,
        0.0689549,
        0.0742757,
        0.0778682,
        0.0835562,
        0.0889602,
        0.0936354,
        0.0995263,
        0.11317,
        0.127445,
        0.142484,
        0.159002,
        0.168818,
        0.19483,
        0.238089,
        0.357354,
        0.282357,
        0.203144,
        0.180693,
        0.153524,
        0.12616,
        0.126854,
        0.115893,
        0.1017,
        0.0920393,
        0.0858653,
        0.0812462,
        0.0771982,
        0.0723109,
        0.0701686,
        0.0654456,
        0.0641421,
        0.0604955,
        0.0598929,
        0.060164,
        0.0597486,
        0.0592187,
        0.0570836,
        0.0584277,
        0.0563781,
        0.0568691,
        0.0583779,
        0.0578748,
        0.0607779,
        0.0596833,
        0.0592434,
        0.0591388,
        0.0559589,
        0.0549615,
        0.0531285,
        0.0528255,
        0.0520537,
        0.051518,
        0.0493418,
        0.048214,
        0.0478825,
        0.0476681,
        0.0474668,
        0.0527108,
        0.052168,
        0.0457993,
        0.0465762,
        0.0465927,
        0.0462301,
        0.0481841,
        0.0482741,
        0.0460107,
        0.0461737,
        0.0452237,
        0.0445585,
        0.0435488,
        0.0425824,
        0.0427214,
        0.0432157,
        0.0429478,
        0.0429458,
        0.043346,
        0.0419165,
        0.0416907,
        0.0416509,
        0.0419995,
        0.0417787,
        0.0431851,
        0.0431904,
        0.0438873,
        0.0421211,
        0.0426216,
        0.0423957,
        0.0423019,
        0.041373,
        0.040629,
        0.0411028,
        0.0412972,
        0.0420876,
        0.0441137,
        0.0438343,
        0.0438684,
        0.0433691,
        0.0421036,
        0.0428651,
        0.0426984,
        0.0433871,
        0.0423197,
        0.0426227,
        0.041582,
        0.0411851,
        0.0418728,
        0.0409934,
        0.0409656,
        0.0403962,
        0.0410402,
        0.0424904,
        0.0423941,
        0.0417842,
        0.0420593,
        0.0439676,
        0.0437851,
        0.0437852,
        0.0432884,
        0.0425989,
        0.0429998,
        0.0429399,
        0.0449196,
        0.0461826,
        0.0448819,
        0.0459102,
        0.0441889,
        0.0461366,
        0.0458376,
        0.0475246,
        0.0467297,
        0.0467393,
        0.0464644,
        0.0469835,
        0.047556,
        0.0465004,
        0.0488949,
        0.0497073,
        0.0501221,
        0.049912,
        0.0490164,
        0.0500038,
        0.0489584,
        0.0474562,
        0.0473583,
        0.0484988,
        0.0476211,
        0.0473089,
        0.0482045,
        0.0470027,
        0.0464015,
        0.0468926,
        0.0462922,
        0.0472516,
        0.0478918,
        0.0482915,
        0.0483021,
        0.0500587,
        0.0527455,
        0.0527571,
        0.0515662,
        0.0519076,
        0.0519539,
        0.0521563,
        0.0516326,
        0.0559005,
        0.058571,
        0.0551045,
        0.0548159,
        0.0565535,
        0.0575931,
        0.0587804,
        0.0609409,
        0.0611917,
        0.0698707,
        0.0670399,
        0.0699243,
        0.0709901,
        0.0747242,
        0.0797685,
        0.0866238,
        0.0885203,
        0.109418,
        0.117219,
        0.112819,
        0.114743,
        0.132539,
        0.142225,
        0.188874,
        null,
        0.0398341,
        0.0393093,
        0.0384212,
        0.0382481,
        0.0378699,
        0.037551,
        0.036757,
        0.0363174,
        0.0402263,
        0.0397255,
        0.0358842,
        0.0360538,
        0.0362299,
        0.0400503,
        0.0397052,
        0.0367407,
        0.0370531,
        0.0369065,
        0.0375557,
        0.0379968,
        0.0382229,
        0.0380854,
        0.0385325,
        0.0389127,
        0.0385454,
        0.038221,
        0.0381689,
        0.0371692,
        0.0369886,
        0.0374627,
        0.0372898,
        0.0420293,
        0.0411819,
        0.0377547,
        0.0371629,
        0.037252,
        0.0373255,
        0.0371977,
        0.0369859,
        0.0372794,
        0.037686,
        0.0382335,
        0.0384622,
        0.0395511,
        0.0396391,
        0.038733,
        0.0393867,
        0.0394433,
        0.039525,
        0.0407109,
        0.0417481,
        0.0427331,
        0.0431188,
        0.0443388,
        0.045337,
        0.0458038,
        0.0459631,
        0.0461989,
        0.04659,
        0.0459313,
        0.0451561,
        0.0447793,
        0.0448252,
        0.0464462,
        0.0475336,
        0.0481649,
        0.0523357,
        0.0528235,
        0.0507474,
        0.0531813,
        0.0547835,
        0.0552389,
        0.0584294,
        0.0607631,
        0.0621407,
        0.0656307,
        0.0677588,
        0.0717007,
        0.0764009,
        0.0871525,
        0.0954922,
        0.104642,
        0.124011,
        0.150634,
        0.172894,
        0.207026,
        0.235613,
        0.184131,
        0.147561,
        0.129419,
        0.116668,
        0.102986,
        0.0929077,
        0.085311,
        0.0793541,
        0.0728067,
        0.0696689,
        0.067694,
        0.0650778,
        0.0622581,
        0.0598783,
        0.056353,
        0.0549508,
        0.0538511,
        0.0512755,
        0.048154,
        0.0458295,
        0.0443721,
        0.0430227,
        0.041238,
        0.0398643,
        0.0401886,
        0.0394703,
        0.0391693,
        0.0389975,
        0.0380836,
        0.0383012,
        0.0390046,
        0.0374127,
        0.0372726,
        0.0373167,
        0.0364463,
        0.0365511,
        0.0358573,
        0.0343797,
        0.0343937,
        0.0345448,
        0.0343671,
        0.0344515,
        0.0335639,
        0.0341243,
        0.0333194,
        0.0338026,
        0.034314,
        0.0341151,
        0.0338262,
        0.0339823,
        0.0339188,
        0.0340377,
        0.0337914,
        0.0340884,
        0.0347797,
        0.0356271,
        0.0347707,
        0.0389311,
        0.0405095,
        0.0365158,
        0.0364956,
        0.0357056,
        0.0351985,
        0.0348177,
        0.034276,
        0.0336627,
        0.0357347,
        0.0360659,
        0.0326372,
        0.0328574,
        0.0324088,
        0.032188,
        0.0318863,
        0.032115,
        0.0315721,
        0.0316233,
        0.0312767,
        0.0310424,
        0.0310224,
        0.0314511,
        0.0314215,
        0.0312956,
        0.0323436,
        0.0325839,
        0.0320685,
        0.0315028,
        0.0311338,
        0.031634,
        0.0313394,
        0.0308384,
        0.0308743,
        0.0310883,
        0.0316307,
        0.0318461,
        0.0324249,
        0.0325751,
        0.0324625,
        0.0327493,
        0.0331485,
        0.0332837,
        0.0345628,
        0.0351812,
        0.0350884,
        0.0356116,
        0.036737,
        0.0360347,
        0.0377075,
        0.0389696,
        0.0415718,
        0.0421083,
        0.0370995,
        0.0365692,
        0.0365458,
        0.0359202,
        0.0353968,
        0.0352156,
        0.034955,
        0.0357806,
        0.0353556,
        0.0350682,
        0.0361632,
        0.0364382,
        0.0367413,
        0.0380343,
        0.0380201,
        0.0371769,
        0.0379326,
        0.0383268,
        0.0385265,
        0.0397472,
        0.0403396,
        0.0399344,
        0.0407466,
        0.0423031,
        0.0433104,
        0.0444312,
        0.0446559,
        0.0462428,
        0.0481324,
        0.0497734,
        0.0509047,
        0.055117,
        0.0585463,
        0.0627449,
        0.0654717,
        0.0741728,
        0.0828933,
        0.0931495,
        0.105254,
        0.120297,
        0.150898,
        0.194096,
        0.250057,
        0.21422,
        0.169412,
        0.135991,
        0.121731,
        0.107919,
        0.0965616,
        0.0847951,
        0.0778843,
        0.075139,
        0.0678791,
        0.0660113,
        0.0585358,
        0.0548511,
        0.0535646,
        0.0517782,
        0.0495456,
        0.04787,
        0.0470453,
        0.0451412,
        0.0443759,
        0.0424239,
        0.0398914,
        0.0396502,
        0.0413567,
        0.0411222,
        0.037832,
        0.0369237,
        0.0359799,
        0.0358786,
        0.0357839,
        0.0353716,
        0.0355243,
        0.0354023,
        0.0356019,
        0.0363604,
        0.0374107,
        0.0360757,
        0.0350921,
        0.0343282,
        0.0339331,
        0.0330151,
        0.0329127,
        0.0322656,
        0.0315633,
        0.031614,
        0.0311839,
        0.031526,
        0.0317246,
        0.0307129,
        0.0300823,
        0.0305896,
        0.0304266,
        0.0301499,
        0.0305269,
        0.0329794,
        0.0327982,
        0.0303928,
        0.0300178,
        0.0300843,
        0.0304601,
        0.03078,
        0.030702,
        0.0309677,
        0.0306143,
        0.0304028,
        0.0334556,
        0.034433,
        0.0307085,
        0.0303461,
        0.0309727,
        0.0310734,
        0.0305308,
        0.0310775,
        0.0305347,
        0.03046,
        0.0306701,
        0.0304107,
        0.0309408,
        0.0310718,
        0.0313984,
        0.03117,
        0.0335855,
        0.0345992,
        0.0335101,
        0.0348342,
        0.0351853,
        0.034525,
        0.0339574,
        0.0333462,
        0.0328028,
        0.0320377,
        0.0312954,
        0.0312391,
        0.0305592,
        0.0302217,
        0.0305043,
        0.0301087,
        0.0298808,
        0.0294321,
        0.0295813,
        0.0327271,
        0.0328685,
        0.0302074,
        0.0303604,
        0.030301,
        0.0314194,
        0.0309649,
        0.0308713,
        0.0306739,
        0.0303581,
        0.0303656,
        0.0307848,
        0.031223,
        0.0309719,
        0.0307519,
        0.0310547,
        0.0313611,
        0.0315404,
        0.0317952,
        0.0325366,
        0.0324866,
        0.0327954,
        0.0334536,
        0.0337938,
        0.0395185,
        0.041068,
        0.0360816,
        0.0373706,
        0.0378774,
        0.0388776,
        0.0398282,
        0.0417062,
        0.0443547,
        0.0470132,
        0.0508197,
        0.0541611,
        0.0579279,
        0.0594034,
        0.0575976,
        0.0566069,
        0.0546089,
        0.0546818,
        0.0530384,
        0.0530696,
        0.0549108,
        0.0569756,
        0.0604008,
        0.0628262,
        0.0668893,
        0.0713038,
        0.0769271,
        0.0877431,
        0.104522,
        0.126491,
        0.151466,
        0.195178,
        0.236645,
        0.322094,
        0.212922,
        0.156135,
        0.133088,
        0.113357,
        0.0982144,
        0.0885918,
        0.0787283,
        0.0706735,
        0.0675876,
        0.062771,
        0.0583661,
        0.059652,
        0.0572366,
        0.0549001,
        0.052349,
        0.0491637,
        0.0465952,
        0.0455505,
        0.0442533,
        0.0415394,
        0.0404072,
        0.0405398,
        0.0376843,
        0.0377973,
        0.0372932,
        0.0362366,
        0.0357073,
        0.0351381,
        0.0342825,
        0.0339006,
        0.0334976,
        0.0326667,
        0.0324949,
        0.0327685,
        0.0322215,
        0.032032,
        0.0311992,
        0.0308439,
        0.0312022,
        0.0313986,
        0.0303882,
        0.0302566,
        0.0303705,
        0.0297304,
        0.0294934,
        0.0296179,
        0.0291656,
        0.0293747,
        0.0291994,
        0.0286418,
        0.028953,
        0.0299625,
        0.0294084,
        0.0291674,
        0.028912,
        0.0289478,
        0.0295417,
        0.0294979,
        0.0291052,
        0.0294397,
        0.0323165,
        0.033192,
        0.0325466,
        0.0347026,
        0.034787,
        0.0410555,
        0.0418122,
        0.0340854,
        0.0338722,
        0.0334869,
        0.0331311,
        0.0314466,
        0.0316039,
        0.0310637,
        0.0308683,
        0.0317545,
        0.0310142,
        0.0320004,
        0.0314639,
        0.0301159,
        0.0293787,
        0.0295823,
        0.0299822,
        0.0293507,
        0.0288129,
        0.0286783,
        0.0291414,
        0.0296574,
        0.0294413,
        0.0290262,
        0.0294656,
        0.0297551,
        0.0292054,
        0.0288402,
        0.0281394,
        0.0314671,
        0.0318134,
        0.0279516,
        0.0282412,
        0.0281562,
        0.0286713,
        0.0288236,
        0.028535,
        0.028081,
        0.0284187,
        0.0293961,
        0.0291819,
        0.0295119,
        0.0298747,
        0.0298329,
        0.0305146,
        0.0312088,
        0.0315751,
        0.0326665,
        0.0338187,
        0.0345966,
        0.0346145,
        0.0345689,
        0.0333837,
        0.0331154,
        0.0336664,
        0.033759,
        0.0335306,
        0.0330828,
        0.0329843,
        0.0327358,
        0.0329149,
        0.0331193,
        0.0336877,
        0.0344214,
        0.0343299,
        0.0348466,
        0.0353134,
        0.0358198,
        0.0359588,
        0.0368548,
        0.0381734,
        0.0389324,
        0.0411109,
        0.0417639,
        0.0443875,
        0.0446546,
        0.0454805,
        0.0459847,
        0.0468393,
        0.0468592,
        0.0485225,
        0.0508133,
        0.0515268,
        0.0544152,
        0.0582294,
        0.0633637,
        0.0661494,
        0.0719104,
        0.0805156,
        0.0915591,
        0.102311,
        0.121482,
        0.136257,
        0.173416,
        0.256277,
        0.230597,
        0.166871,
        0.130729,
        0.111116,
        0.0911932,
        0.0758216,
        0.069888,
        0.0681738,
        0.060901,
        0.0558282,
        0.0537709,
        0.0498465,
        0.0466673,
        0.0448035,
        0.044059,
        0.0417089,
        0.0396949,
        0.0386764,
        0.0382412,
        0.0371403,
        0.0362107,
        0.0358056,
        0.0350715,
        0.0347221,
        0.0350382,
        0.0353334,
        0.0348294,
        0.0334687,
        0.0339308,
        0.0338402,
        0.0325912,
        0.032029,
        0.0320568,
        0.031316,
        0.0315853,
        0.0314022,
        0.031703,
        0.0312325,
        0.0313497,
        0.0313705,
        0.0358873,
        0.0360998,
        0.0325435,
        0.03271,
        0.0336694,
        0.0333796,
        0.0329407,
        0.0323347,
        0.0316045,
        0.0309266,
        0.0301658,
        0.0300736,
        0.0298901,
        0.0299204,
        0.0303179,
        0.0296361,
        0.0290633,
        0.029206,
        0.0289568,
        0.0296479,
        0.0300262,
        0.0310509,
        0.0319692,
        0.0339529,
        0.0367975,
        0.0389251,
        0.0406281,
        0.0402214,
        0.0371847,
        0.0357832,
        0.0330324,
        0.0309301,
        0.0299877,
        0.0298797,
        0.0286481,
        0.027941,
        0.027917,
        0.0276589,
        0.0279522,
        0.0281909,
        0.0280887,
        0.0275939,
        0.0280578,
        0.0282659,
        0.028307,
        0.0286338,
        0.0288078,
        0.0292039,
        0.029211,
        0.0290562,
        0.0288651,
        0.0305253,
        0.0298427,
        0.029686,
        0.0308604,
        0.0310842,
        0.0315616,
        0.0322131,
        0.0318353,
        0.0312601,
        0.0315395,
        0.0308686,
        0.0304129,
        0.0294732,
        0.0285088,
        0.0283347,
        0.0278938,
        0.0281677,
        0.0277905,
        0.0278433,
        0.0280045,
        0.0279119,
        0.02758,
        0.0271133,
        0.0270217,
        0.0270223,
        0.0277062,
        0.0290968,
        0.0282544,
        0.0272348,
        0.0297057,
        0.0305137,
        0.030551,
        0.0306303,
        0.0289787,
        0.0286623,
        0.0283758,
        0.0290864,
        0.0295462,
        0.0305342,
        0.0300952,
        0.0304192,
        0.030553,
        0.0310982,
        0.030949,
        0.0314041,
        0.0316425,
        0.0319362,
        0.0330728,
        0.033773,
        0.034639,
        0.0356024,
        0.0372831,
        0.0387868,
        0.0399703,
        0.0414554,
        0.041738,
        0.042606,
        0.0448789,
        0.0472027,
        0.0500717,
        0.0517652,
        0.0545388,
        0.057649,
        0.0611137,
        0.0636218,
        0.0660559,
        0.0728791,
        0.0793369,
        0.0960616,
        0.114279,
        0.138659,
        0.172294,
        0.216495,
        0.230306,
        0.184251,
        0.13603,
        0.111247,
        0.0956733,
        0.0822099,
        0.0719754,
        0.0669976,
        0.0611185,
        0.0555961,
        0.0517339,
        0.0488348,
        0.0456323,
        0.0456052,
        0.043119,
        0.0407732,
        0.0401112,
        0.0401013,
        0.0388894,
        0.0377951,
        0.0380448,
        0.038539,
        0.0370859,
        0.0368606,
        0.0371277,
        0.0376303,
        0.0389133,
        0.0389092,
        0.0398229,
        0.0399641,
        0.039524,
        0.0385551,
        0.0376881,
        0.0369894,
        0.0368492,
        0.0347983,
        0.0339435,
        0.0329956,
        0.0320208,
        0.0320661,
        0.0315534,
        0.0321207,
        0.0384553,
        0.0334548,
        0.0304501,
        0.03023,
        0.0300613,
        0.0299049,
        0.0302292,
        0.0303632,
        0.0304849,
        0.0308858,
        0.0311471,
        0.0316026,
        0.0311417,
        0.031105,
        0.0313304,
        0.0309359,
        0.0301992,
        0.0296374,
        0.0293416,
        0.0290539,
        0.0282874,
        0.0281019,
        0.0276726,
        0.0278317,
        0.0276303,
        0.0276508,
        0.0279418,
        0.0278604,
        0.0276457,
        0.0277054,
        0.0276199,
        0.0281095,
        0.0284993,
        0.0287555,
        0.0290441,
        0.0295659,
        0.0293618,
        0.031577,
        0.0320581,
        0.0317055,
        0.0322907,
        0.0324642,
        0.0320775,
        0.0342383,
        0.0337494,
        0.0304415,
        0.0301751,
        0.029744,
        0.0294822,
        0.0290513,
        0.028595,
        0.0284108,
        0.0284187,
        0.0285482,
        0.0289191,
        0.0289672,
        0.0304258,
        0.0308005,
        0.0289052,
        0.0289085,
        0.0288116,
        0.0291715,
        0.0294874,
        0.0298766,
        0.0299387,
        0.0297491,
        0.0300456,
        0.0295186,
        0.0297758,
        0.0295504,
        0.0304448,
        0.030914,
        0.030238,
        0.0333009,
        0.0319367,
        0.0305596,
        0.0305528,
        0.0301912,
        0.030686,
        0.0308872,
        0.0311111,
        0.0312413,
        0.0322234,
        0.0319861,
        0.0353767,
        0.0348999,
        0.032044,
        0.0328285,
        0.0331183,
        0.0333579,
        0.03439,
        0.0353017,
        0.0372386,
        0.039078,
        0.0395411,
        0.0421332,
        0.0440723,
        0.0454701,
        0.0455707,
        0.0433178,
        0.0426775,
        0.0407786,
        0.03985,
        0.0393516,
        0.0389893,
        0.0388113,
        0.0399309,
        0.041066,
        0.0403906,
        0.0421109,
        0.0436788,
        0.0442884,
        0.0464302,
        0.048091,
        0.0512343,
        0.0529684,
        0.0558968,
        0.0588941,
        0.066019,
        0.0760983,
        0.0926652,
        0.106601,
        0.114536,
        0.128621,
        0.160233,
        0.233366,
        0.245127,
        0.171197,
        0.129573,
        0.109412,
        0.0970465,
        0.083378,
        0.0704926,
        0.0637786,
        0.0597726,
        0.0570199,
        0.0554005,
        0.0531588,
        0.0505669,
        0.0492012,
        0.0490072,
        0.0468755,
        0.0443906,
        0.0431532,
        0.0418258,
        0.0402166,
        0.0380465,
        0.0368697,
        0.0363305,
        0.0359117,
        0.0358498,
        0.0357489,
        0.0353553,
        0.0356253,
        0.0342463,
        0.0333618,
        0.032723,
        0.0324451,
        0.0324702,
        0.0322577,
        0.0378984,
        0.036296,
        0.0310094,
        0.0316773,
        0.0320959,
        0.0317948,
        0.0317349,
        0.0313439,
        0.0317466,
        0.0329188,
        0.0331398,
        0.031612,
        0.0326618,
        0.0331356,
        0.0314589,
        0.0314095,
        0.031692,
        0.0325701,
        0.0329834,
        0.0322465,
        0.0319031,
        0.0320609,
        0.0316236,
        0.0317421,
        0.031294,
        0.031553,
        0.0316872,
        0.0317126,
        0.0332665,
        0.0341868,
        0.0339856,
        0.0330743,
        0.0333072,
        0.0366063,
        0.0376404,
        0.0341869,
        0.034419,
        0.0342853,
        0.0337969,
        0.0331839,
        0.0349168,
        0.034848,
        0.0325365,
        0.0321075,
        0.0317976,
        0.031785,
        0.0319148,
        0.0319132,
        0.0314283,
        0.0314004,
        0.0330804,
        0.032148,
        0.0312808,
        0.0319018,
        0.0312656,
        0.0342025,
        0.0353732,
        0.0313437,
        0.0318757,
        0.0324918,
        0.0322939,
        0.0325033,
        0.0322842,
        0.0318897,
        0.0336659,
        0.0341716,
        0.0322899,
        0.0315896,
        0.0313884,
        0.0322228,
        0.0321099,
        0.0326022,
        0.0318495,
        0.0319484,
        0.031945,
        0.0317803,
        0.0320805,
        0.0326827,
        0.0323277,
        0.0327188,
        0.0327565,
        0.0331257,
        0.0330923,
        0.0329136,
        0.0330239,
        0.0336292,
        0.0342439,
        0.034429,
        0.0351245,
        0.0362729,
        0.0370607,
        0.03762,
        0.0377774,
        0.0378911,
        0.0371781,
        0.0371259,
        0.0365809,
        0.0360326,
        0.035142,
        0.0345938,
        0.0342102,
        0.0339568,
        0.0334794,
        0.0336839,
        0.0326455,
        0.0323523,
        0.0315934,
        0.035639,
        0.0352401,
        0.0316497,
        0.0317152,
        0.0327297,
        0.0325348,
        0.0327259,
        0.0337321,
        0.0338867,
        0.0340865,
        0.0345186,
        0.0345272,
        0.0353761,
        0.0415793,
        0.0447517,
        0.0399668,
        0.0410602,
        0.042262,
        0.0444157,
        0.0475379,
        0.0503294,
        0.0549937,
        0.0588769,
        0.0644472,
        0.0718899,
        0.0793233,
        0.0908439,
        0.112259,
        0.146559,
        0.188269,
        0.251632,
        0.260691,
        0.189754,
        0.146742,
        0.119254,
        0.116461,
        0.0962693,
        0.0744297,
        0.0693953,
        0.0616703,
        0.0544125,
        0.0531622,
        0.0493892,
        0.0454934,
        0.0431097,
        0.0421617,
        0.0404809,
        0.0383925,
        0.0374204,
        0.036695,
        0.0353028,
        0.0352614,
        0.0339935,
        0.0330166,
        0.033192,
        0.0331607,
        0.0327054,
        0.0320889,
        0.0319961,
        0.0313814,
        0.0314154,
        0.0311949,
        0.0303129,
        0.0301729,
        0.0332545,
        0.0320872,
        0.0309379,
        0.0309429,
        0.0311886,
        0.030844,
        0.0312943,
        0.0316295,
        0.0316418,
        0.03103,
        0.0313353,
        0.0313931,
        0.030521,
        0.0306925,
        0.0304412,
        0.0304829,
        0.0308127,
        0.0305942,
        0.0309209,
        0.0309238,
        0.0312498,
        0.0312716,
        0.0322871,
        0.0327354,
        0.0336116,
        0.0341907,
        0.0343943,
        0.0338605,
        0.0338631,
        0.0332881,
        0.0412269,
        0.0409004,
        0.0313749,
        0.0308639,
        0.0308176,
        0.0303185,
        0.0298967,
        0.0300027,
        0.0294127,
        0.0291205,
        0.0286394,
        0.0280587,
        0.0283572,
        0.0282012,
        0.0281736,
        0.0279832,
        0.0290629,
        0.0289378,
        0.0280396,
        0.0281372,
        0.0282083,
        0.0286957,
        0.0290828,
        0.029361,
        0.0282111,
        0.027628,
        0.0270364,
        0.026784,
        0.0268348,
        0.026989,
        0.0268842,
        0.0274996,
        0.0274618,
        0.0276746,
        0.0302638,
        0.0294437,
        0.0276406,
        0.0280535,
        0.0280944,
        0.0280638,
        0.027969,
        0.0282468,
        0.0286572,
        0.0285987,
        0.0286887,
        0.0308785,
        0.0316865,
        0.029729,
        0.0294935,
        0.029475,
        0.0299792,
        0.030504,
        0.0309096,
        0.0316343,
        0.0327526,
        0.0329946,
        0.0324986,
        0.0326006,
        0.0326698,
        0.0320985,
        0.032248,
        0.0315297,
        0.0311392,
        0.0320255,
        0.0319676,
        0.0315802,
        0.0316796,
        0.0315113,
        0.0313003,
        0.0305963,
        0.0308288,
        0.0310274,
        0.0310951,
        0.0313774,
        0.0307551,
        0.0314547,
        0.0313258,
        0.0310762,
        0.0311166,
        0.0316886,
        0.0322401,
        0.032287,
        0.0316809,
        0.0318947,
        0.0321601,
        0.0328828,
        0.0415692,
        0.0382167,
        0.0328187,
        0.0344821,
        0.0351672,
        0.0355684,
        0.0367628,
        0.037384,
        0.0378401,
        0.0391838,
        0.039752,
        0.0411499,
        0.0421232,
        0.0435632,
        0.0452944,
        0.0482329,
        0.0501496,
        0.0520515,
        0.055687,
        0.0611689,
        0.0702107,
        0.0784811,
        0.105496,
        0.122546,
        0.126313,
        0.164961,
        0.225866,
        0.239758,
        0.173854,
        0.142433,
        0.115733,
        0.0938924,
        0.0829073,
        0.0711124,
        0.065055,
        0.0598293,
        0.0566231,
        0.0545545,
        0.0517994,
        0.0493753,
        0.0472505,
        0.0442548,
        0.0430903,
        0.0408865,
        0.0406631,
        0.0392089,
        0.0387617,
        0.0387929,
        0.0382918,
        0.0370481,
        0.0360512,
        0.0366319,
        0.0347715,
        0.0345778,
        0.034702,
        0.0361297,
        0.0351528,
        0.0340865,
        0.0347657,
        0.0347265,
        0.0346255,
        0.0337311,
        0.0333995,
        0.0328184,
        0.0331926,
        0.0335097,
        0.033105,
        0.0330709,
        0.0325732,
        0.032779,
        0.0328939,
        0.0327528,
        0.0330879,
        0.0331727,
        0.0333463,
        0.0342051,
        0.034473,
        0.0344962,
        0.0351536,
        0.0356529,
        0.0368536,
        0.036239,
        0.0346254,
        0.0343436,
        0.033324,
        0.0331242,
        0.0330989,
        0.0331106,
        0.0378057,
        0.0367968,
        0.033316,
        0.0319542,
        0.0329467,
        0.0334271,
        0.0331808,
        0.0338437,
        0.03392,
        0.0332694,
        0.0334972,
        0.0329306,
        0.0342222,
        0.0345441,
        0.0346522,
        0.0350665,
        0.0352712,
        0.0353987,
        0.036473,
        0.0373991,
        0.0380497,
        0.0382286,
        0.0389779,
        0.0391289,
        0.0389812,
        0.0390129,
        0.0435276,
        0.0419172,
        0.0371818,
        0.0379573,
        0.0385772,
        0.0394668,
        0.0385617,
        0.0386493,
        0.0396799,
        0.039964,
        0.0413243,
        0.0424024,
        0.0459418,
        0.0469243,
        0.0467235,
        0.0485396,
        0.051291,
        0.0563102,
        0.0586095,
        0.0619426,
        0.0670561,
        0.0742204,
        0.0849663,
        0.0980423,
        0.12367,
        0.154173,
        0.182699,
        0.231821,
        0.211937,
        0.200075,
        0.151459,
        0.129254,
        0.105677,
        0.100604,
        0.0948399,
        0.0733711,
        0.0665985,
        0.0652096,
        0.0664418,
        0.0610583,
        0.0566489,
        0.0554829,
        0.052329,
        0.0506966,
        0.0493859,
        0.0548381,
        0.0568082,
        0.0486365,
        0.0469757,
        0.0471058,
        0.0477656,
        0.0476453,
        0.0481787,
        0.0480367,
        0.0492092,
        0.0487602,
        0.0477852,
        0.0464806,
        0.044413,
        0.0443022,
        0.0445148,
        0.043625,
        0.0431736,
        0.0428268,
        0.0436943,
        0.0429656,
        0.0423773,
        0.0428806,
        0.0443479,
        0.0452919,
        0.0464305,
        0.047275,
        0.0489766,
        0.0502155,
        0.0521675,
        0.0542251,
        0.0563941,
        0.0637257,
        0.0699611,
        0.0721793,
        0.0832076,
        0.0920242,
        0.10114,
        0.118749,
        0.144942,
        0.182104,
        0.274839,
        0.246774,
        0.189623,
        0.157136,
        0.121909,
        0.102787,
        0.088638,
        0.0767338,
        0.072431,
        0.0663687,
        0.0624239,
        0.0573804,
        0.0532943,
        0.0510083,
        0.0504119,
        0.0509202,
        0.0484204,
        0.0461229,
        0.0446742,
        0.0425945,
        0.0432415,
        0.0432336,
        0.042074,
        0.0413272,
        0.0412829,
        0.0413264,
        0.0405071,
        0.0400692,
        0.0392048,
        0.0379725,
        0.0375533,
        0.0373949,
        0.0375903,
        0.037248,
        0.0366201,
        0.0369442,
        0.0381097,
        0.037681,
        0.0373307,
        0.0372817,
        0.0371623,
        0.0368769,
        0.0414251,
        0.0410048,
        0.0376957,
        0.0376263,
        0.0376363,
        0.0372651,
        0.0369006,
        0.0368465,
        0.0364487,
        0.0359882,
        0.0355414,
        0.0352699,
        0.0349828,
        0.034649,
        0.0354807,
        0.0354183,
        0.0339445,
        0.0339782,
        0.0342471,
        0.0344636,
        0.034168,
        0.0343447,
        0.0353605,
        0.0350545,
        0.0348866,
        0.0347867,
        0.0341399,
        0.034592,
        0.0346261,
        0.0337616,
        0.0340251,
        0.0343662,
        0.0353014,
        0.0345646,
        0.034289,
        0.0344569,
        0.0344542,
        0.0352015,
        0.0349498,
        0.0350332,
        0.035297,
        0.0360365,
        0.034884,
        0.0347649,
        0.0345827,
        0.0354555,
        0.035626,
        0.0367022,
        0.0362737,
        0.0352414,
        0.0362455,
        0.0368923,
        0.0362094,
        0.0354862,
        0.0356703,
        0.0353786,
        0.0348726,
        0.0353862,
        0.036196,
        0.0357497,
        0.0363696,
        0.0363243,
        0.0358519,
        0.0359386,
        0.0360599,
        0.0369688,
        0.0381672,
        0.0377787,
        0.0382629,
        0.0431237,
        0.0447419,
        0.0379054,
        0.0368171,
        0.0358199,
        0.0362348,
        0.0368929,
        0.0357587,
        0.035475,
        0.0358901,
        0.0359696,
        0.0360016,
        0.0364798,
        0.0364084,
        0.0366631,
        0.0378703,
        0.0371847,
        0.0368525,
        0.0371305,
        0.0375403,
        0.0377669,
        0.03761,
        0.037767,
        0.0377596,
        0.0376393,
        0.0375369,
        0.0376451,
        0.0377021,
        0.0380969,
        0.0390047,
        0.038855,
        0.0389801,
        0.0388518,
        0.0396897,
        0.0396175,
        0.0402511,
        0.040464,
        0.0395374,
        0.0398608,
        0.0416242,
        0.0424078,
        0.0417396,
        0.0409052,
        0.0419774,
        0.0412153,
        0.0422312,
        0.0425354,
        0.0416022,
        0.0424086,
        0.0440243,
        0.0452281,
        0.044921,
        0.0441703,
        0.0455032,
        0.0503837,
        0.0497009,
        0.0507147,
        0.0541806,
        0.0497188,
        0.0513892,
        0.0533934,
        0.0653796,
        0.0693639,
        0.0612308,
        0.0613027,
        0.0669383,
        0.0720675,
        0.076011,
        0.0792887,
        0.0952674,
        0.107521,
        0.128512,
        0.152597,
        0.185676,
        0.235209,
        0.172252,
        0.145446,
        0.12962,
        0.11344,
        0.0987855,
        0.0874826,
        0.0779513,
        0.0755212,
        0.0704575,
        0.0683792,
        0.0665858,
        0.0645316,
        0.0644372,
        0.0638489,
        0.0658641,
        0.0649474,
        0.0617551,
        0.0613992,
        0.0614006,
        0.0619503,
        0.0647404,
        0.0650208,
        0.0653763,
        0.0668699,
        0.0679688,
        0.0699852,
        0.070239,
        0.0724722,
        0.0779129,
        0.0775947,
        0.0825968,
        0.0802054,
        0.0851119,
        0.0881025,
        0.0882426,
        0.0909526,
        0.09445,
        0.10633,
        0.116966,
        0.126504,
        0.138791,
        0.149329,
        0.15811,
        0.177916,
        0.209401,
        0.208752,
        0.250608,
        0.221911,
        0.216006,
        0.184642,
        0.162778,
        0.155831,
        0.134508,
        0.116724,
        0.111702,
        0.112964,
        0.109917,
        0.101625,
        0.0968142,
        0.0918136,
        0.0878471,
        0.0824135,
        0.0821379,
        0.0770472,
        0.0739842,
        0.0726087,
        0.0717597,
        0.0703075,
        0.0668242,
        0.0658802,
        0.0650657,
        0.0662535,
        0.0644709,
        0.060855,
        0.0587417,
        0.0689595,
        0.0690458,
        0.0614074,
        0.061154,
        0.0588899,
        0.057284,
        0.0660151,
        0.064147,
        0.0527347,
        0.0527595,
        0.053571,
        0.052813,
        0.05256,
        0.0496517,
        0.0497403,
        0.0507745,
        0.0502788,
        0.0487944,
        0.0466952,
        0.0450099,
        0.0457453,
        0.0463856,
        0.0449848,
        0.0453934,
        0.0449921,
        0.0441501,
        0.0447135,
        0.0432669,
        0.0435353,
        0.0440428,
        0.0445251,
        0.0437355,
        0.04299,
        0.0439539,
        0.0427236,
        0.0436265,
        0.0433916,
        0.0426002,
        0.0435196,
        0.0439654,
        0.0436686,
        0.0439153,
        0.0440292,
        0.0436585,
        0.0439338,
        0.0441276,
        0.0442263,
        0.044253,
        0.0435618,
        0.0441094,
        0.0453105,
        0.0448752,
        0.0451738,
        0.0450362,
        0.0462529,
        0.045358,
        0.0460076,
        0.0471219,
        0.0463646,
        0.0479438,
        0.0478702,
        0.049278,
        0.0561773,
        0.058051,
        0.0510075,
        0.0505547,
        0.0527218,
        0.056921,
        0.0559009,
        0.0619025,
        0.0649438,
        0.059273,
        0.0618175,
        0.0625417,
        0.0659838,
        0.0705963,
        0.0749502,
        0.0821923,
        0.0923621,
        0.102403,
        0.119726,
        0.159985,
        0.243629,
        0.232945,
        0.386705,
        0.27233,
        0.207768,
        0.155145,
        0.127978,
        0.10138,
        0.090471,
        0.0781796,
        0.0726739,
        0.0668129,
        0.0625945,
        0.0593024,
        0.0589151,
        0.0573081,
        0.0539831,
        0.0522966,
        0.0511843,
        0.0502049,
        0.0488378,
        0.0474311,
        0.0460069,
        0.047584,
        0.0480666,
        0.0478342,
        0.0471988,
        0.0462581,
        0.0461327,
        0.0457267,
        0.0452861,
        0.0459308,
        0.0454755,
        0.0465109,
        0.0464465,
        0.0461737,
        0.0455793,
        0.0465755,
        0.0461412,
        0.0463193,
        0.0469558,
        0.0450471,
        0.0454124,
        0.045594,
        0.046859,
        0.0490785,
        0.04903,
        0.0490498,
        0.0479462,
        0.0487613,
        0.0491871,
        0.0503172,
        0.0509119,
        0.0497676,
        0.0483991,
        0.0465567,
        0.0465253,
        0.0463199,
        0.0471608,
        0.0458161,
        0.0465052,
        0.0462905,
        0.0459426,
        0.0451443,
        0.044168,
        0.0445569,
        0.0457985,
        0.0448521,
        0.0446741,
        0.0465121,
        0.0461668,
        0.046144,
        0.0460414,
        0.045575,
        0.0449759,
        0.0461516,
        0.0472256,
        0.0461916,
        0.0457088,
        0.0465848,
        0.0465611,
        0.0461053,
        0.0460799,
        0.0472583,
        0.0460191,
        0.0468537,
        0.0463641,
        0.0465666,
        0.0471043,
        0.0466696,
        0.0473848,
        0.0484729,
        0.0495842,
        0.0493618,
        0.0495035,
        0.0499253,
        0.050918,
        0.050884,
        0.0513673,
        0.0512915,
        0.0522198,
        0.0529112,
        0.052529,
        0.0526204,
        0.053241,
        0.0551117,
        0.0558996,
        0.0571605,
        0.0564794,
        0.0549302,
        0.0575334,
        0.0577999,
        0.0576825,
        null,
        0.039372,
        0.0390674,
        0.0386343,
        0.0384396,
        0.0384936,
        0.0374576,
        0.0366635,
        0.0367526,
        0.0366057,
        0.0357073,
        0.0355517,
        0.0352503,
        0.0349374,
        0.0345127,
        0.0345341,
        0.0341426,
        0.0339151,
        0.0342447,
        0.0338119,
        0.034012,
        0.0341208,
        0.0346559,
        0.0349466,
        0.0347568,
        0.0344059,
        0.0342589,
        0.0349714,
        0.03555,
        0.0360133,
        0.0369378,
        0.0375916,
        0.0364327,
        0.0366438,
        0.0368802,
        0.0365538,
        0.0365843,
        0.0363842,
        0.0358562,
        0.0359691,
        0.0359812,
        0.0351395,
        0.0345593,
        0.034763,
        0.034577,
        0.0345051,
        0.0347043,
        0.0345659,
        0.0341136,
        0.0345555,
        0.0345375,
        0.0343527,
        0.0352481,
        0.034779,
        0.0340965,
        0.0338537,
        0.0336644,
        0.03377,
        0.0334149,
        0.033088,
        0.033083,
        0.032931,
        0.0331061,
        0.0331194,
        0.0327251,
        0.0327101,
        0.0326318,
        0.0326879,
        0.0324144,
        0.0325167,
        0.0340299,
        0.0340668,
        0.0332671,
        0.0330528,
        0.0328165,
        0.0325252,
        0.0325375,
        0.0325232,
        0.0327757,
        0.0327872,
        0.0323714,
        0.0326017,
        0.032683,
        0.0327581,
        0.0327199,
        0.0324195,
        0.0379138,
        0.038853,
        0.0335355,
        0.0339243,
        0.0341565,
        0.0335092,
        0.0333906,
        0.0329861,
        0.0335621,
        0.0337761,
        0.0335108,
        0.0336019,
        0.032885,
        0.0329681,
        0.0329191,
        0.032879,
        0.033193,
        0.0336296,
        0.0334265,
        0.0327672,
        0.0324931,
        0.0330399,
        0.0329471,
        0.0330937,
        0.0326222,
        0.0325033,
        0.0328282,
        0.0326671,
        0.0321654,
        0.0320103,
        0.0315294,
        0.0314835,
        0.0316969,
        0.031494,
        0.0313155,
        0.0311492,
        0.0309983,
        0.0310989,
        0.0314833,
        0.031067,
        0.0313833,
        0.0320195,
        0.0320816,
        0.0322034,
        0.0325924,
        0.0326323,
        0.0326711,
        0.0335833,
        0.0338698,
        0.0341031,
        0.0345936,
        0.0352837,
        0.0368412,
        0.0387861,
        0.0398105,
        0.0416606,
        0.0456526,
        0.0504172,
        0.0562606,
        0.0642808,
        0.0754159,
        0.0943333,
        0.107208,
        0.102634,
        0.0891465,
        0.0799717,
        0.0683455,
        0.0588604,
        0.0526444,
        0.048897,
        0.0458054,
        0.0426499,
        0.0401966,
        0.0391996,
        0.0388844,
        0.0378775,
        0.0366218,
        0.0359926,
        0.0354245,
        0.0350403,
        0.0352644,
        0.0349268,
        0.0347484,
        0.0345017,
        0.0344021,
        0.034504,
        0.0337926,
        0.03453,
        0.0346277,
        0.032913,
        0.0327088,
        0.0333948,
        0.0336677,
        0.0333289,
        0.0396632,
        0.0400861,
        0.0341146,
        0.0339307,
        0.0338521,
        0.033448,
        0.0331226,
        0.0330481,
        0.0324187,
        0.032587,
        0.032916,
        0.0331686,
        0.0335649,
        0.0331904,
        0.0330777,
        0.0332347,
        0.0328166,
        0.0328439,
        0.0328271,
        0.03358,
        0.0336015,
        0.0332861,
        0.0351369,
        0.0353651,
        0.0362057,
        0.0360341,
        0.0363572,
        0.036086,
        0.0359478,
        0.0368801,
        0.0367421,
        0.0372158,
        0.0376853,
        0.0386435,
        0.0388678,
        0.0392318,
        0.0390116,
        0.0387689,
        0.0380244,
        0.0384815,
        0.0398492,
        0.0405933,
        0.04095,
        0.0427604,
        0.0443474,
        0.0438323,
        0.044265,
        0.0447218,
        0.0457248,
        0.0483157,
        0.0490615,
        0.0521569,
        0.0549211,
        0.0582194,
        0.059526,
        0.0596821,
        0.0628761,
        0.0651398,
        0.0696714,
        0.0772701,
        0.0842068,
        0.10292,
        0.118847,
        0.143635,
        0.176698,
        0.228616,
        0.308961,
        0.232188,
        0.185699,
        0.159292,
        0.129796,
        0.115946,
        0.103934,
        0.0884439,
        0.07872,
        0.0757083,
        0.0722318,
        0.0719506,
        0.0696754,
        0.0663435,
        0.0632341,
        0.0626268,
        0.0614943,
        0.0623869,
        0.0618759,
        0.0599194,
        0.0582949,
        0.0580108,
        0.0612176,
        0.0605032,
        0.0589967,
        0.061592,
        0.0601596,
        0.0609401,
        0.0606136,
        0.0619589,
        0.06118,
        0.0618908,
        0.0637981,
        0.063478,
        0.0637661,
        0.063342,
        0.0652285,
        0.0646096,
        0.0647236,
        0.0622406,
        0.0607427,
        0.0603586,
        0.0563746,
        0.0526472,
        0.0480568,
        0.0445998,
        0.0414553,
        0.039071,
        0.0377453,
        0.0370294,
        0.036815,
        0.0373603,
        0.0373503,
        0.0373633,
        0.0366079,
        0.0365267,
        0.0369541,
        0.0380264,
        0.0386957,
        0.0406638,
        0.0440658,
        0.0465461,
        0.0511022,
        0.0577947,
        0.0670196,
        0.0707608,
        0.0691366,
        0.0625703,
        0.0555903,
        0.0500116,
        0.0457316,
        0.0433929,
        0.0399551,
        0.0372892,
        0.035885,
        0.0346435,
        0.0339071,
        0.0331267,
        0.0341603,
        0.0327085,
        0.0318334,
        0.0310777,
        0.0306663,
        0.031105,
        0.0307144,
        0.0306808,
        0.0301614,
        0.029557,
        0.0296929,
        0.0300246,
        0.0293001,
        0.0292356,
        0.0292321,
        0.0289459,
        0.0288294,
        0.0284809,
        0.0288225,
        0.0284714,
        0.0287053,
        0.0286045,
        0.0294361,
        0.029428,
        0.0287291,
        0.0283846,
        0.0291389,
        0.0292423,
        0.0278945,
        0.0278228,
        0.027876,
        0.0273188,
        0.0270583,
        0.0273046,
        0.0269188,
        0.0266505,
        0.026964,
        0.0268444,
        0.0265171,
        0.0262844,
        0.0262042,
        0.0264215,
        0.026424,
        0.0265777,
        0.0266439,
        0.0265916,
        0.0265553,
        0.026624,
        0.0270102,
        0.0270108,
        0.0271566,
        0.0276672,
        0.027789,
        0.0271082,
        0.0270835,
        0.0281163,
        0.0285993,
        0.0278696,
        0.0277091,
        0.0281756,
        0.028181,
        0.0281529,
        0.028512,
        0.028839,
        0.0292263,
        0.0288999,
        0.0317248,
        0.0322182,
        0.0277949,
        0.0279445,
        0.0276194,
        0.0275006,
        0.0278417,
        0.0280732,
        0.0277997,
        0.0276116,
        0.0276987,
        0.027603,
        0.0277552,
        0.0275883,
        0.0271932,
        0.0272088,
        0.0268893,
        0.0266564,
        0.0269711,
        0.0267365,
        0.0269177,
        0.0263039,
        0.0262795,
        0.0266066,
        0.026405,
        0.0259423,
        0.0261073,
        0.0261988,
        0.0288042,
        0.0276649,
        0.0259302,
        0.0259228,
        0.0257124,
        0.0255427,
        0.0253904,
        0.0254226,
        0.0253968,
        0.0254999,
        0.0252699,
        0.0257241,
        0.0257709,
        0.0258162,
        0.0257863,
        0.0257778,
        0.0258112,
        0.0261384,
        0.0261535,
        0.0261621,
        0.0267092,
        0.0267071,
        0.0267724,
        0.0266274,
        0.0267684,
        0.0267144,
        0.0266659,
        0.0267016,
        0.0266136,
        0.027393,
        0.0271582,
        0.026912,
        0.0267341,
        0.0266397,
        0.0272245,
        0.027134,
        0.026983,
        0.0270505,
        0.0273492,
        0.0276255,
        0.0276403,
        0.0279792,
        0.0286364,
        0.0284105,
        0.0279727,
        0.0280518,
        0.0284656,
        0.0284178,
        0.0292545,
        0.0294333,
        0.0298969,
        0.0300704,
        0.0297762,
        0.0303162,
        0.0309895,
        0.0313596,
        0.0318502,
        0.0325741,
        0.0335986,
        0.0353457,
        0.0373199,
        0.0408363,
        0.0444512,
        0.0505389,
        0.052652,
        0.0501154,
        0.0462013,
        0.0431835,
        0.0392999,
        0.0366483,
        0.0348042,
        0.0328241,
        0.0309675,
        0.0310235,
        0.0306377,
        0.0303181,
        0.0299258,
        0.0294725,
        0.0292904,
        0.0288203,
        0.027858,
        0.0273426,
        0.0271181,
        0.0272682,
        0.0277878,
        0.0274331,
        0.0274432,
        0.0274427,
        0.0278314,
        0.027495,
        0.0278508,
        0.0279237,
        0.0284587,
        0.028752,
        0.0289835,
        0.0287783,
        0.0283783,
        0.0281721,
        0.0280523,
        0.0271474,
        0.0267236,
        0.0270763,
        0.0272382,
        0.0268999,
        0.0267512,
        0.0268173,
        0.0264177,
        0.0260209,
        0.0259766,
        0.0258186,
        0.0261645,
        0.0262068,
        0.0266433,
        0.026818,
        0.0264977,
        0.0261515,
        0.0257607,
        0.0259214,
        0.0258841,
        0.0256127,
        0.0254171,
        0.0254197,
        0.0252025,
        0.0251247,
        0.0249914,
        0.0252064,
        0.0252557,
        0.0251922,
        0.0255107,
        0.0251347,
        0.0254353,
        0.0257763,
        0.0256923,
        0.0257174,
        0.0263294,
        0.0264256,
        0.026248,
        0.0260648,
        0.0261213,
        0.0263196,
        0.0263985,
        0.0266469,
        0.0269992,
        0.0266205,
        0.0265869,
        0.0268305,
        0.0267476,
        0.02685,
        0.0271776,
        0.026529,
        0.0268334,
        0.0267923,
        0.026833,
        0.0268976,
        0.0267196,
        0.0270846,
        0.0269547,
        0.0288001,
        0.0290732,
        0.0268687,
        0.0270129,
        0.0267983,
        0.0269647,
        0.0268208,
        0.0269922,
        0.0269827,
        0.0267726,
        0.0269502,
        0.0266647,
        0.0263676,
        0.0267578,
        0.0269128,
        0.0263407,
        0.026827,
        0.0267085,
        0.0266594,
        0.0267188,
        0.0267186,
        0.0272417,
        0.0272814,
        0.0273562,
        0.0270962,
        0.0272983,
        0.0272569,
        0.0271838,
        0.0278025,
        0.0314034,
        0.0310808,
        0.0277749,
        0.0283468,
        0.0283439,
        0.0274267,
        0.0278007,
        0.0276852,
        0.0280359,
        0.0278503,
        0.0278779,
        0.0280917,
        0.0287884,
        0.028582,
        0.0288853,
        0.0295278,
        0.0300225,
        0.0310848,
        0.0318582,
        0.0327342,
        0.0333739,
        0.0351423,
        0.036679,
        0.0375495,
        0.0401626,
        0.0419636,
        0.0452681,
        0.0492682,
        0.0529194,
        0.0573278,
        0.065163,
        0.0772692,
        0.0777974,
        0.0895187,
        0.09354,
        0.100609,
        0.0973924,
        0.0916505,
        0.0805226,
        0.0712169,
        0.0681625,
        0.0617409,
        0.0573894,
        0.0514509,
        0.0485713,
        0.0467491,
        0.0459246,
        0.0459658,
        0.0451709,
        0.0466606,
        0.0482188,
        0.0508551,
        0.0495245,
        0.0480342,
        0.0447252,
        0.0411814,
        0.0382072,
        0.0360948,
        0.0337082,
        0.0322687,
        0.0312672,
        0.0301958,
        0.0298539,
        0.0290003,
        0.0282785,
        0.0277696,
        0.0280691,
        0.0273044,
        0.0274154,
        0.0272514,
        0.0267209,
        0.0265935,
        0.0266685,
        0.0271226,
        0.0267804,
        0.0267135,
        0.0265262,
        0.0266,
        0.0265858,
        0.0267144,
        0.0267547,
        0.0261893,
        0.0265423,
        0.0269573,
        0.026223,
        0.0261039,
        0.0282517,
        0.0336241,
        0.0287504,
        0.0265982,
        0.0265541,
        0.0263982,
        0.0266233,
        0.0266531,
        0.0262874,
        0.0263957,
        0.0270509,
        0.0269716,
        0.0267887,
        0.0269148,
        0.0266506,
        0.0292589,
        0.0292427,
        0.0269767,
        0.02651,
        0.0267775,
        0.0265996,
        0.0268785,
        0.0285167,
        0.0291863,
        0.0278865,
        0.0278284,
        0.027922,
        0.0276975,
        0.0278857,
        0.0279999,
        0.0281038,
        0.0278264,
        0.0266504,
        0.0259601,
        0.0261593,
        0.0257392,
        0.0259139,
        0.025732,
        0.0255921,
        0.0251679,
        0.0251448,
        0.0251046,
        0.0248504,
        0.0268154,
        0.0256083,
        0.0244611,
        0.0248572,
        0.0252808,
        0.0254673,
        0.025303,
        0.0253962,
        0.0249484,
        0.0248589,
        0.0246989,
        0.0250682,
        0.0249358,
        0.0243,
        0.0245101,
        0.0247803,
        0.0249983,
        0.0253308,
        0.0253298,
        0.025082,
        0.0250848,
        0.0254137,
        0.0253115,
        0.0256754,
        0.0258034,
        0.0261603,
        0.0259724,
        0.025689,
        0.0258913,
        0.0258013,
        0.0263794,
        0.0264143,
        0.0263277,
        0.0264941,
        0.0290591,
        0.0280346,
        0.0260411,
        0.0260493,
        0.02574,
        0.0256857,
        0.0256626,
        0.0254284,
        0.0255454,
        0.0256613,
        0.0257276,
        0.0253488,
        0.0254623,
        0.0254158,
        0.0254568,
        0.0252349,
        0.0256822,
        0.0262629,
        0.0252627,
        0.0253727,
        0.0251339,
        0.0251653,
        0.0250959,
        0.0248332,
        0.0242927,
        0.0246448,
        0.0249167,
        0.0249872,
        0.0252249,
        0.0251836,
        0.0257815,
        0.0263236,
        0.0261826,
        0.025865,
        0.0260343,
        0.0265473,
        0.0265989,
        0.0270991,
        0.026768,
        0.0267092,
        0.0264008,
        0.0270294,
        0.0296133,
        0.0292773,
        0.0266524,
        0.0266512,
        0.0270117,
        0.026811,
        0.0268245,
        0.027301,
        0.0274913,
        0.0269018,
        0.0274955,
        0.0276822,
        0.0282749,
        0.0291528,
        0.0294761,
        0.0302448,
        0.030934,
        0.0316454,
        0.0332219,
        0.03441,
        0.0361929,
        0.0389426,
        0.0406433,
        0.0418453,
        0.042154,
        0.0402616,
        0.037018,
        0.0361584,
        0.0344862,
        0.0329647,
        0.0320031,
        0.0312718,
        0.0312088,
        0.0296342,
        0.0292459,
        0.028875,
        0.028605,
        0.0279865,
        0.0274489,
        0.0280088,
        0.0275021,
        0.0267869,
        0.0267825,
        0.0266368,
        0.0265582,
        0.0263284,
        0.0314403,
        0.032305,
        0.0266145,
        0.0261727,
        0.0260996,
        0.025536,
        0.0252094,
        0.0257234,
        0.0257776,
        0.025697,
        0.025402,
        0.0258503,
        0.0256427,
        0.0259317,
        0.025845,
        0.0284547,
        0.0297494,
        0.0264727,
        0.0257025,
        0.0253662,
        0.0256607,
        0.0257972,
        0.0257755,
        0.0256148,
        0.0252755,
        0.0261583,
        0.0260756,
        0.0261242,
        0.0267024,
        0.0271013,
        0.0272763,
        0.0275774,
        0.0275326,
        0.0282062,
        0.0279245,
        0.0283881,
        0.0284654,
        0.027808,
        0.0279553,
        0.0273425,
        0.0270468,
        0.0272912,
        0.0267789,
        0.0266585,
        0.0265377,
        0.0263092,
        0.0268333,
        0.0266952,
        0.0264949,
        0.0267963,
        0.0264706,
        0.0271019,
        0.0271148,
        0.0267171,
        0.0265113,
        0.0267064,
        0.0269129,
        0.0265399,
        0.0261564,
        0.0262046,
        0.0259359,
        0.0259185,
        0.0258462,
        0.0256201,
        0.0255859,
        0.0302964,
        0.0284912,
        0.025118,
        0.0282348,
        0.0286888,
        0.0258475,
        0.0260587,
        0.0259036,
        0.0253894,
        0.0256612,
        0.0255711,
        0.0253737,
        0.0257107,
        0.0257649,
        0.0254415,
        0.0256033,
        0.0260681,
        0.0259914,
        0.0260164,
        0.0257521,
        0.0258986,
        0.0262573,
        0.0261249,
        0.0257682,
        0.0264779,
        0.0269265,
        0.0270251,
        0.0269447,
        0.0277431,
        0.0276909,
        0.0270951,
        0.0277594,
        0.0276826,
        0.0274388,
        0.0273513,
        0.0276813,
        0.0290032,
        0.0277512,
        0.0271065,
        0.0268284,
        0.0269398,
        0.0265735,
        0.0260478,
        0.0263986,
        0.030287,
        0.0287954,
        0.0266687,
        0.0265325,
        0.0263388,
        0.0269106,
        0.0271379,
        0.0270994,
        0.0270643,
        0.027722,
        0.0276552,
        0.0273318,
        0.0270513,
        0.0267062,
        0.0263622,
        0.0266291,
        0.0263383,
        0.0263071,
        0.0265251,
        0.0264003,
        0.02621,
        0.0262901,
        0.0262676,
        0.0264772,
        0.0263183,
        0.025954,
        0.0261907,
        0.026068,
        0.0263141,
        0.0263806,
        0.0263891,
        0.0263921,
        0.0264906,
        0.0266323,
        0.0262625,
        0.0263532,
        0.0274457,
        0.0275884,
        0.0281766,
        0.0284794,
        0.0296403,
        0.0302333,
        0.0317933,
        0.032674,
        0.0344683,
        0.0350518,
        0.0348716,
        0.0349072,
        0.0348902,
        0.0350749,
        0.0345139,
        0.0329332,
        0.0331247,
        0.0332504,
        0.0339301,
        0.0341525,
        0.0331111,
        0.0329275,
        0.0321194,
        0.0314268,
        0.0306834,
        0.030368,
        0.0303481,
        0.029483,
        0.0285204,
        0.0285944,
        0.0285559,
        0.0284023,
        0.0280801,
        0.027639,
        0.0275436,
        0.027585,
        0.0276374,
        0.02751,
        0.0270239,
        0.0269387,
        0.0268334,
        0.0280336,
        0.0287481,
        0.0283454,
        0.0270827,
        0.02802,
        0.0273685,
        0.0263617,
        0.0264316,
        0.026363,
        0.0291023,
        0.0291232,
        0.0269267,
        0.0268487,
        0.0266216,
        0.027354,
        0.0302906,
        0.0297818,
        0.0272836,
        0.0273407,
        0.0273899,
        0.0276922,
        0.0274555,
        0.0270748,
        0.0271346,
        0.0269449,
        0.0272851,
        0.0270802,
        0.0273958,
        0.02694,
        0.0271965,
        0.0278914,
        0.0273912,
        0.0269942,
        0.0275271,
        0.0273376,
        0.0272625,
        0.0273239,
        0.0268184,
        0.0270563,
        0.0272798,
        0.0280673,
        0.0279914,
        0.027583,
        0.0280753,
        0.0286987,
        0.0282805,
        0.0285773,
        0.0286143,
        0.0295156,
        0.0297469,
        0.0300648,
        0.0302509,
        0.0300046,
        0.0301844,
        0.0299773,
        0.0294226,
        0.029375,
        0.0291613,
        0.0287161,
        0.02831,
        0.0281016,
        0.0275275,
        0.0272025,
        0.0275035,
        0.0275022,
        0.0273369,
        0.0269407,
        0.026907,
        0.0275338,
        0.0272762,
        0.0269198,
        0.0265422,
        0.0271626,
        0.0273672,
        0.0276169,
        0.0284416,
        0.0294684,
        0.0303252,
        0.0319186,
        0.0333878,
        0.0335654,
        0.0356876,
        0.0350609,
        0.0355462,
        0.0328632,
        0.0295694,
        0.0294424,
        0.028767,
        0.0278468,
        0.027782,
        0.0276136,
        0.0272759,
        0.0273186,
        0.0278542,
        0.0277313,
        0.027212,
        0.0275214,
        0.0276917,
        0.0294303,
        0.0283548,
        0.0274183,
        0.0272459,
        0.0277377,
        0.0283356,
        0.0280458,
        0.027967,
        0.0283137,
        0.0284503,
        0.0284574,
        0.0278606,
        0.0276766,
        0.0326707,
        0.0325258,
        0.0274962,
        0.027298,
        0.0280024,
        0.0280461,
        0.0274287,
        0.0271826,
        0.0274955,
        0.0276631,
        0.0272706,
        0.0272577,
        0.026608,
        0.0271431,
        0.0273071,
        0.0272528,
        0.0269768,
        0.027121,
        0.0271874,
        0.0271481,
        0.027175,
        0.026508,
        0.0262899,
        0.0265958,
        0.0263662,
        0.0264718,
        0.0268397,
        0.0267034,
        0.0268454,
        0.0268245,
        0.0268824,
        0.0287483,
        0.0282916,
        0.0276706,
        0.0283801,
        0.0291213,
        0.0296735,
        0.030127,
        0.0303299,
        0.0307814,
        0.0305639,
        0.0302182,
        0.0301672,
        0.02937,
        0.0293147,
        0.0288943,
        0.0286109,
        0.0283833,
        0.0284046,
        0.0289067,
        0.0296653,
        0.0320917,
        0.0317536,
        0.0307768,
        0.0330558,
        0.0340712,
        0.0343409,
        0.0348432,
        0.034439,
        0.0342002,
        0.0328977,
        0.0328089,
        0.0311428,
        0.0322784,
        0.0323836,
        0.0294248,
        0.0289441,
        0.0289389,
        0.0291065,
        0.0285485,
        0.0279199,
        0.0276731,
        0.0282456,
        0.0284463,
        0.0279368,
        0.0282911,
        0.0282143,
        0.0277778,
        0.0279835,
        0.0282041,
        0.0282688,
        0.0286831,
        0.0289533,
        0.0290284,
        0.0284199,
        0.028324,
        0.027878,
        0.0270879,
        0.0271713,
        0.0270346,
        0.0268793,
        0.0268246,
        0.0270172,
        0.0267429,
        0.0267508,
        0.0272452,
        0.0269022,
        0.0267341,
        0.0266783,
        0.0266581,
        0.0265699,
        0.0266949,
        0.027009,
        0.0266601,
        0.0267125,
        0.0270309,
        0.0276055,
        0.0275152,
        0.0291888,
        0.0292327,
        0.0277235,
        0.027608,
        0.0277737,
        0.0275196,
        0.0275542,
        0.0276404,
        0.0275981,
        0.0281001,
        0.0278824,
        0.0284728,
        0.0318498,
        0.030581,
        0.0282933,
        0.0292797,
        0.0287747,
        0.0278554,
        0.027897,
        0.0283665,
        0.028841,
        0.0314582,
        0.0315295,
        0.0283292,
        0.0284275,
        0.0289473,
        0.0289142,
        0.0287851,
        0.0289083,
        0.0287247,
        0.0286414,
        0.0287106,
        0.028269,
        0.0281202,
        0.0287709,
        0.029042,
        0.0285319,
        0.0291817,
        0.0288995,
        0.0284351,
        0.0284716,
        0.0282155,
        0.0283947,
        0.0285208,
        0.0281229,
        0.0281734,
        0.0285721,
        0.0316672,
        0.0306631,
        0.0283972,
        0.0293845,
        0.0288362,
        0.0310832,
        0.0359183,
        0.0310162,
        0.0280566,
        0.0279892,
        0.0280887,
        0.0290194,
        0.0292603,
        0.0295931,
        0.0299231,
        0.0297271,
        0.029594,
        0.0296202,
        0.0297013,
        0.029741,
        0.0296695,
        0.0295985,
        0.0295594,
        0.0293788,
        0.0303284,
        0.0302462,
        0.0295619,
        0.029668,
        0.0301304,
        0.030392,
        0.0300631,
        0.0299636,
        0.0298245,
        0.0296338,
        0.0296285,
        0.0303412,
        0.0297536,
        0.0304098,
        0.0303148,
        0.0299811,
        0.0298565,
        0.0307656,
        0.0310908,
        0.0307512,
        0.0302915,
        0.0304102,
        0.0310429,
        0.0306451,
        0.0313092,
        0.0308937,
        0.0301278,
        0.0305889,
        0.0304267,
        0.030192,
        0.0304209,
        0.0298189,
        0.0298087,
        0.0308047,
        0.0305553,
        0.0308337,
        0.0311275,
        0.0316095,
        0.0325103,
        0.032937,
        0.0331379,
        0.0337346,
        0.0336557,
        0.0337616,
        0.0336847,
        0.0331092,
        0.0328681,
        0.0331194,
        0.0327972,
        0.0330461,
        0.0323192,
        0.0316543,
        0.0316328,
        0.0315043,
        0.0311842,
        0.0314796,
        0.0319492,
        0.0309374,
        0.0318307,
        0.0319621,
        0.0358797,
        0.0372109,
        0.0338943,
        0.0332928,
        0.0335718,
        0.0341511,
        0.0348209,
        0.0354454,
        0.0363446,
        0.0373717,
        0.0396476,
        0.0408471,
        0.0452437,
        0.0467575,
        0.0415894,
        0.0400924,
        0.0383734,
        0.0380071,
        0.0381352,
        0.0381978,
        0.0369769,
        0.0360618,
        0.03713,
        0.0359334,
        0.0362821,
        0.0405071,
        0.0395599,
        0.0398189,
        0.0392816,
        0.0341158,
        0.0346331,
        0.0352873,
        0.0353382,
        0.0349912,
        0.0342223,
        0.0346535,
        0.0346226,
        0.0341625,
        0.0346221,
        0.0345578,
        0.0341398,
        0.0339184,
        0.0349016,
        0.036044,
        0.0356492,
        0.035312,
        0.0348959,
        0.0351265,
        0.0355337,
        0.0357212,
        0.0355893,
        0.035726,
        0.0350403,
        0.0354079,
        0.0355308,
        0.0402058,
        0.0405563,
        0.0367114,
        0.0370312,
        0.037394,
        0.0380041,
        0.0381732,
        0.0382735,
        0.0390192,
        0.038972,
        0.0400551,
        0.0407445,
        0.0416962,
        0.0430853,
        0.0438845,
        0.0446307,
        0.0443248,
        0.0461238,
        0.0482866,
        0.0500271,
        0.0494853,
        0.0522225,
        0.0532837,
        0.0559906,
        0.0585754,
        0.0617758,
        0.0635845,
        0.0650354,
        0.069257,
        0.0774968,
        0.0864788,
        0.0906397,
        0.113392,
        0.12868,
        0.129343,
        0.155165,
        0.175268,
        0.220374,
        0.295404,
        0.205319,
        0.176059,
        0.149001,
        0.141236,
        0.122275,
        0.110475,
        0.0990567,
        0.0918434,
        0.0854235,
        0.0808117,
        0.0779666,
        0.0785174,
        0.0769845,
        0.0780086,
        0.0696931,
        0.0684374,
        0.0673322,
        0.0674451,
        0.0677114,
        0.0666518,
        0.0672304,
        0.0743508,
        0.0775369,
        0.0727573,
        0.0728141,
        0.072898,
        0.0770894,
        0.0845846,
        0.0868231,
        0.0872578,
        0.0955059,
        0.106573,
        0.111554,
        0.119954,
        0.140427,
        0.160512,
        0.178069,
        0.243932,
        0.236347,
        0.183068,
        0.151097,
        0.141594,
        0.129955,
        0.117685,
        0.107379,
        0.0988842,
        0.0907573,
        0.101832,
        0.0919892,
        0.0816515,
        0.0803304,
        0.073319,
        0.0650708,
        0.064617,
        0.0603771,
        0.0605013,
        0.0561974,
        0.0568404,
        0.0553118,
        0.0533388,
        0.0555639,
        0.0561119,
        0.0504831,
        0.0482241,
        0.0480312,
        0.0512196,
        0.0485401,
        0.0466301,
        0.0448123,
        0.052981,
        0.0507932,
        0.0456733,
        0.0468553,
        0.0461839,
        0.0458537,
        0.0451046,
        0.0431506,
        0.0435998,
        0.0427356,
        0.0443701,
        0.0455403,
        0.044442,
        0.0461074,
        0.0479562,
        0.0485858,
        0.0514488,
        0.054445,
        0.0555004,
        0.0578937,
        0.0537945,
        0.0508329,
        0.0490284,
        0.0471497,
        0.0465663,
        0.0461204,
        0.0426744,
        0.0428426,
        0.042211,
        0.0410546,
        0.0410318,
        0.0409015,
        0.0395318,
        0.0394129,
        0.0402531,
        0.0396852,
        0.0407396,
        0.0420345,
        0.0419022,
        0.0393822,
        0.0387034,
        0.0394447,
        0.0397095,
        0.0387325,
        0.0400665,
        0.0402885,
        0.0387158,
        0.0382583,
        0.0426591,
        0.0422629,
        0.0387455,
        0.038414,
        0.0376212,
        0.0371459,
        0.0360531,
        0.0365397,
        0.0368704,
        0.0367223,
        0.0360107,
        0.0354224,
        0.0352008,
        0.0390114,
        0.0394653,
        0.0353736,
        0.0350309,
        0.034689,
        0.0346198,
        0.0347936,
        0.0340603,
        0.0341005,
        0.0348206,
        0.0344832,
        0.0332982,
        0.0342039,
        0.0338894,
        0.0343088,
        0.0347951,
        0.034925,
        0.0380632,
        0.036681,
        0.0346584,
        0.0351205,
        0.0347545,
        0.0354786,
        0.0348673,
        0.0347656,
        0.0354096,
        0.0356121,
        0.0351587,
        0.0354804,
        0.0361584,
        0.0358238,
        0.0358044,
        0.0365069,
        0.0406343,
        0.0415217,
        0.0365116,
        0.0365947,
        0.0362488,
        0.0360898,
        0.0363464,
        0.0364688,
        0.0363947,
        0.0363352,
        0.0361017,
        0.0364178,
        0.0372869,
        0.036594,
        0.035605,
        0.0358804,
        0.035714,
        0.0361063,
        0.03619,
        0.0356199,
        0.0362839,
        0.036797,
        0.0361918,
        0.0357595,
        0.0350352,
        0.0360999,
        0.0362421,
        0.0370641,
        0.0386043,
        0.0411117,
        0.0366412,
        0.0362527,
        0.0354825,
        0.0368456,
        0.0365469,
        0.0364623,
        0.0362283,
        0.0353367,
        0.0350367,
        0.0351527,
        0.034874,
        0.0344928,
        0.0351415,
        0.0354495,
        0.0352348,
        0.0344973,
        0.0349019,
        0.0349522,
        0.035434,
        0.0352561,
        0.0347426,
        0.0359001,
        0.0361772,
        0.0350476,
        0.0351337,
        0.0351984,
        0.0356708,
        0.0362139,
        0.037549,
        0.0389221,
        0.0373501,
        0.0381239,
        0.0362935,
        0.0359587,
        0.0372999,
        0.0373991,
        0.0374999,
        0.037553,
        0.0378402,
        0.0383425,
        0.0394411,
        0.0381498,
        0.0377699,
        0.0378932,
        0.037639,
        0.0391465,
        0.0388349,
        0.0371121,
        0.0373569,
        0.0374162,
        0.0369369,
        0.0416883,
        0.0427128,
        0.0376578,
        0.037017,
        0.0380596,
        0.0374041,
        0.0374563,
        0.0379457,
        0.0373982,
        0.0382938,
        0.0384123,
        0.0374103,
        0.0375483,
        0.0368267,
        0.0365787,
        0.0360431,
        0.036027,
        0.0361238,
        0.0363175,
        0.0362693,
        0.0348735,
        0.0346733,
        0.0348828,
        0.0347916,
        0.0345394,
        0.0355251,
        0.0396507,
        0.0407037,
        0.0365839,
        0.0364588,
        0.0366926,
        0.0369132,
        0.0368511,
        0.0369032,
        0.037322,
        0.0382775,
        0.0385406,
        0.0390601,
        0.0453247,
        0.0477105,
        0.0426819,
        0.0455829,
        0.048334,
        0.0503226,
        0.0502341,
        0.0490986,
        0.0476956,
        0.0437714,
        0.0425751,
        0.0424733,
        0.0412731,
        0.0403962,
        0.040032,
        0.0461209,
        0.0453275,
        0.0388,
        0.039055,
        0.0391492,
        0.03976,
        0.0389854,
        0.0379913,
        0.0382784,
        0.0383017,
        0.0391787,
        0.0385666,
        0.0384128,
        0.0389567,
        0.0382239,
        0.0389992,
        0.0383312,
        0.0382489,
        0.0377133,
        0.0381559,
        0.0385458,
        0.0425168,
        0.0398151,
        0.0381736,
        0.0373488,
        0.0364567,
        0.0360258,
        0.0373429,
        0.0376214,
        0.037435,
        0.0377623,
        0.0368162,
        0.0370868,
        0.0359541,
        0.0357996,
        0.036736,
        0.0366123,
        0.0367684,
        0.0359555,
        0.0363929,
        0.0360723,
        0.0356221,
        0.0359506,
        0.0359351,
        0.0363614,
        0.0373274,
        0.0363551,
        0.0367308,
        0.0361754,
        0.0365434,
        0.0375943,
        0.0414663,
        0.0432373,
        0.0364528,
        0.0362777,
        0.0362236,
        0.0370831,
        0.0416279,
        0.0418214,
        0.0372924,
        0.0381017,
        0.03805,
        0.0386659,
        0.038116,
        0.0382469,
        0.0379894,
        0.0378861,
        0.0389224,
        0.0389822,
        0.0388577,
        0.03852,
        0.0394972,
        0.0387713,
        0.0397289,
        0.040054,
        0.0401198,
        0.0401514,
        0.039934,
        0.0430941,
        0.0431595,
        0.0404809,
        0.0412853,
        0.0402808,
        0.040178,
        0.0394908,
        0.0402401,
        0.0401426,
        0.0401099,
        0.0397362,
        0.0399701,
        0.0400647,
        0.0389569,
        0.0391919,
        0.0401117,
        0.0409415,
        0.0402164,
        0.0408183,
        0.0419291,
        0.0411099,
        0.0405069,
        0.0415307,
        0.0412681,
        0.0406347,
        0.0413904,
        0.0407353,
        0.0409602,
        0.0415249,
        0.0415196,
        0.0407883,
        0.0416383,
        0.0418853,
        0.0417739,
        0.0417107,
        0.041886,
        0.0418636,
        0.0415587,
        0.0427201,
        0.0432773,
        0.0429217,
        0.0440931,
        0.0440734,
        0.0427031,
        0.0441164,
        0.0445524,
        0.0451174,
        0.0456931,
        0.0440707,
        0.0464217,
        0.0467505,
        0.0464597,
        0.0479291,
        0.047579,
        0.0490312,
        0.0483398,
        0.0484428,
        0.0481147,
        0.0500617,
        0.0490595,
        0.0488832,
        0.0499154,
        0.0522683,
        0.0522787,
        0.0522773,
        0.0542808,
        0.055528,
        0.0554697,
        0.0553113,
        0.0562459,
        0.0558276,
        0.0583126,
        0.0586841,
        0.0606561,
        0.0627993,
        0.062312,
        0.0618365,
        0.0654665,
        0.0663816,
        0.0676466,
        0.0701733,
        0.0857225,
        0.0891494,
        0.0762368,
        0.0797057,
        0.0791693,
        0.085053,
        0.0906361,
        0.093761,
        0.0983278,
        0.105064,
        0.110327,
        0.11932,
        0.125491,
        0.130329,
        0.140454,
        0.153394,
        0.183767,
        0.188654,
        0.208883,
        0.265498,
        0.361291,
        0.324799,
        0.258952,
        0.222647,
        0.187819,
        0.182192,
        0.148234,
        0.138707,
        0.130393,
        null,
        0.0403943,
        0.0396164,
        0.0367444,
        0.0358969,
        0.0432084,
        0.0440973,
        0.0367369,
        0.0369036,
        0.036113,
        0.0361856,
        0.0365299,
        0.036318,
        0.036864,
        0.0403621,
        0.0408482,
        0.0381372,
        0.0379425,
        0.0379936,
        0.0379884,
        0.037844,
        0.0377492,
        0.038183,
        0.0386483,
        0.0386029,
        0.0384104,
        0.0393529,
        0.0395616,
        0.0395097,
        0.0393795,
        0.0385168,
        0.0387919,
        0.0387678,
        0.0387608,
        0.0384593,
        0.038704,
        0.0393903,
        0.0395844,
        0.0397341,
        0.039663,
        0.0397103,
        0.0388964,
        0.0390369,
        0.0392107,
        0.0398889,
        0.0404358,
        0.0410408,
        0.0411743,
        0.0412194,
        0.0417133,
        0.0420837,
        0.0415808,
        0.0420971,
        0.0422205,
        0.041989,
        0.0418232,
        0.0429714,
        0.0438327,
        0.0451895,
        0.0478671,
        0.0520011,
        0.0538824,
        0.0534443,
        0.0507548,
        0.0498461,
        0.0476581,
        0.0457229,
        0.0437742,
        0.0435312,
        0.0437829,
        0.042616,
        0.042423,
        0.042969,
        0.0431417,
        0.0434979,
        0.0425913,
        0.0420051,
        0.0425517,
        0.0439471,
        0.0441867,
        0.0438688,
        0.0443683,
        0.0450779,
        0.0450966,
        0.0448274,
        0.0451927,
        0.0464273,
        0.0471086,
        0.0473105,
        0.0471286,
        0.0472905,
        0.0469391,
        0.047919,
        0.0478571,
        0.0487809,
        0.0495992,
        0.049759,
        0.0528677,
        0.0518966,
        0.0522371,
        0.0543328,
        0.053969,
        0.0552342,
        0.056859,
        0.0564681,
        0.0545344,
        0.0540357,
        0.0557409,
        0.0571198,
        0.0582816,
        0.0594879,
        0.0604675,
        0.0626639,
        0.0663014,
        0.0683584,
        0.0653434,
        0.0682442,
        0.0719723,
        0.074919,
        0.0771779,
        0.0809671,
        0.0868002,
        0.086124,
        0.0895233,
        0.0970019,
        0.108943,
        0.1142,
        0.119114,
        0.126536,
        0.140402,
        0.162857,
        0.194584,
        0.224832,
        0.210157,
        0.195317,
        0.172341,
        0.151389,
        0.136159,
        0.12278,
        0.116648,
        0.110365,
        0.114466,
        0.108315,
        0.0993117,
        0.0964095,
        0.0920122,
        0.0910208,
        0.0919266,
        0.0881223,
        0.0835512,
        0.0843152,
        0.0866805,
        0.0840087,
        0.0813361,
        0.0826119,
        0.0819176,
        0.081942,
        0.0854272,
        0.082247,
        0.082352,
        0.0844661,
        0.0843898,
        0.0857996,
        0.0853124,
        0.0834376,
        0.0910776,
        0.0926381,
        0.0916207,
        0.0929629,
        0.100019,
        0.107617,
        0.123704,
        0.115482,
        0.1235,
        0.131721,
        0.135138,
        0.142412,
        0.155034,
        0.152443,
        0.169963,
        0.195601,
        0.224379,
        0.258349,
        0.231511,
        0.176563,
        0.163874,
        0.152825,
        0.144963,
        0.134946,
        0.121239,
        0.118372,
        0.107402,
        0.103845,
        0.100131,
        0.0918235,
        0.0959886,
        0.0937819,
        0.0865828,
        0.0829039,
        0.0805172,
        0.0923671,
        0.0894184,
        0.0752183,
        0.0710935,
        0.0689544,
        0.0689158,
        0.0845432,
        0.0874733,
        0.0696498,
        0.0635362,
        0.0644022,
        0.0633313,
        0.0624788,
        0.0619645,
        0.0623323,
        0.064503,
        0.0627087,
        0.0588393,
        0.0579984,
        0.0598692,
        0.0581184,
        0.057387,
        0.0575682,
        0.0559972,
        0.0560898,
        0.0553142,
        0.0552528,
        0.0555293,
        0.0564761,
        0.0556656,
        0.055954,
        0.0551537,
        0.0539552,
        0.0538568,
        0.0526859,
        0.0539453,
        0.0554152,
        0.0573711,
        0.0536227,
        0.0533889,
        0.0542863,
        0.0554544,
        0.0543769,
        0.0546682,
        0.0555047,
        0.0555492,
        0.055888,
        0.0580205,
        0.0612092,
        0.0584291,
        0.0593712,
        0.0599619,
        0.0586377,
        0.0567729,
        0.0600178,
        0.0604537,
        0.0613714,
        0.0638687,
        0.0639861,
        0.0631798,
        0.0630708,
        0.0653238,
        0.0671907,
        0.068275,
        0.0676141,
        0.0685854,
        0.0683381,
        0.0692176,
        0.0725152,
        0.0727565,
        0.0728089,
        0.0745408,
        0.0762216,
        0.0761482,
        0.0769728,
        0.0756559,
        0.079778,
        0.0792086,
        0.0847093,
        0.0844969,
        0.0849501,
        0.08724,
        0.0910859,
        0.0948731,
        0.0963832,
        0.0960687,
        0.106947,
        0.109766,
        0.108169,
        0.110162,
        0.108469,
        0.110681,
        0.116418,
        0.132274,
        0.135147,
        0.138758,
        0.154829,
        0.163254,
        0.162442,
        0.178957,
        0.177913,
        0.201922,
        0.225283,
        null,
        0.194864,
        0.193324,
        0.171972,
        0.176097,
        0.163013,
        0.139918,
        0.140983,
        0.132096,
        0.130203,
        0.126534,
        0.121142,
        0.117681,
        0.116925,
        0.113794,
        0.107829,
        0.105681,
        0.0993741,
        0.099366,
        0.0997307,
        0.0930164,
        0.0903862,
        0.0859065,
        0.0858144,
        0.0806853,
        0.0844013,
        0.0797108,
        0.0784382,
        0.0728759,
        0.0736934,
        0.075181,
        0.071819,
        0.06995,
        0.0664536,
        0.0650603,
        0.0644453,
        0.0648721,
        0.063153,
        0.0609538,
        0.0598084,
        0.0593587,
        0.0571507,
        0.0561817,
        0.0564306,
        0.0558412,
        0.0548123,
        0.05477,
        0.052812,
        0.0534689,
        0.0522722,
        0.0538999,
        0.0516411,
        0.050109,
        0.0508907,
        0.0506903,
        0.0489975,
        0.0488544,
        0.0487482,
        0.0475136,
        0.0470739,
        0.0469952,
        0.0474847,
        0.0469342,
        0.0471002,
        0.0457064,
        0.0445245,
        0.0455,
        0.0450251,
        0.043757,
        0.0441315,
        0.0433248,
        0.0432703,
        0.0437698,
        0.0433121,
        0.0432542,
        0.0427237,
        0.0429631,
        0.041964,
        0.0418515,
        0.0414151,
        0.0415595,
        0.040723,
        0.0395968,
        0.0404605,
        0.0414464,
        0.0413114,
        0.0408983,
        0.0401467,
        0.0400892,
        0.0402879,
        0.0389152,
        0.0392283,
        0.0385136,
        0.0376677,
        0.0377679,
        0.0371507,
        0.037347,
        0.03751,
        0.0371646,
        0.0378614,
        0.0378817,
        0.0363138,
        0.0365451,
        0.0358249,
        0.0352029,
        0.0351618,
        0.035254,
        0.0349228,
        0.0349595,
        0.0344979,
        0.0341068,
        0.0342923,
        0.0341962,
        0.0339163,
        0.0352831,
        0.0345701,
        0.0337481,
        0.0337098,
        0.0341929,
        0.0334954,
        0.0329968,
        0.032863,
        0.0325792,
        0.0326004,
        0.0337778,
        0.0337009,
        0.0336946,
        0.0341199,
        0.0343986,
        0.0346072,
        0.0357339,
        0.0364094,
        0.0372353,
        0.0366328,
        0.0343453,
        0.0345089,
        0.0347358,
        0.0350998,
        0.0350688,
        0.0355068,
        0.0355505,
        0.0352496,
        0.035535,
        0.0349073,
        0.0346513,
        0.0349707,
        0.0346885,
        0.0339158,
        0.0344809,
        0.0341685,
        0.0341855,
        0.0342383,
        0.034512,
        0.0337842,
        0.0330454,
        0.0346364,
        0.0351849,
        0.035859,
        0.0366583,
        0.0378981,
        0.0397672,
        0.0411445,
        0.0420826,
        0.0407204,
        0.0386575,
        0.0364381,
        0.0359647,
        0.0345877,
        0.033499,
        0.0328375,
        0.0321603,
        0.0323976,
        0.0318623,
        0.0311666,
        0.0314116,
        0.031067,
        0.0309168,
        0.0314306,
        0.0315069,
        0.0315093,
        0.0314691,
        0.0318405,
        0.0317141,
        0.0325894,
        0.0317656,
        0.0316157,
        0.0312838,
        0.0319431,
        0.0314033,
        0.0330034,
        0.0331272,
        0.0327343,
        0.0327466,
        0.0331269,
        0.0327389,
        0.0332723,
        0.0331648,
        0.0328766,
        0.0326425,
        0.032731,
        0.0324685,
        0.0320947,
        0.0321439,
        0.0327701,
        0.0323121,
        0.0320747,
        0.0320441,
        0.0316513,
        0.0318042,
        0.0319224,
        0.0311777,
        0.0308158,
        0.0310624,
        0.0307847,
        0.0308032,
        0.0305345,
        0.0305533,
        0.030967,
        0.0310026,
        0.0308985,
        0.0307967,
        0.030472,
        0.0307109,
        0.0305276,
        0.0303512,
        0.0307039,
        0.0302666,
        0.0295319,
        0.0298589,
        0.0327693,
        0.0334538,
        0.0298061,
        0.0297449,
        0.0301307,
        0.0306843,
        0.0306063,
        0.0314002,
        0.0314776,
        0.0316649,
        0.032282,
        0.033211,
        0.0332767,
        0.0334405,
        0.0330063,
        0.0326197,
        0.0324355,
        0.0315697,
        0.0311724,
        0.0308219,
        0.0311757,
        0.0308392,
        0.0303186,
        0.0301787,
        0.0297443,
        0.0297862,
        0.0295461,
        0.0298633,
        0.0300188,
        0.0299918,
        0.0296421,
        0.029569,
        0.0297995,
        0.0297364,
        0.029836,
        0.0301649,
        0.0300104,
        0.0299704,
        0.0293041,
        0.0296965,
        0.0305968,
        0.0305134,
        0.0297584,
        0.0297727,
        0.0295233,
        0.0352882,
        0.0351902,
        0.0292328,
        0.0289868,
        0.0292008,
        0.0288225,
        0.0288921,
        0.0287887,
        0.0285239,
        0.0283786,
        0.0282364,
        0.0278927,
        0.0277827,
        0.0279606,
        0.0283079,
        0.0285853,
        0.0283348,
        0.0296435,
        0.0301421,
        0.0273515,
        0.0279005,
        0.0280322,
        0.0284932,
        0.0281149,
        0.0275794,
        0.0276833,
        0.02786,
        0.028035,
        0.028389,
        0.0279786,
        0.0277549,
        0.0285102,
        0.0278105,
        0.0274766,
        0.0274136,
        0.0276266,
        0.0278622,
        0.0277597,
        0.0275073,
        0.0276327,
        0.027825,
        0.0278355,
        0.0277402,
        0.028069,
        0.0289844,
        0.0290217,
        0.0288597,
        0.0285479,
        0.028989,
        0.0292487,
        0.0289304,
        0.0290592,
        0.0297128,
        0.0290811,
        0.0292043,
        0.0292858,
        0.0291979,
        0.0289978,
        0.0293332,
        0.0295516,
        0.0289353,
        0.0290158,
        0.0295281,
        0.0296217,
        0.0295397,
        0.0296341,
        0.0302042,
        0.0301908,
        0.0303818,
        0.0317714,
        0.0323917,
        0.0330755,
        0.0343296,
        0.0359559,
        0.0377924,
        0.0364146,
        0.0353011,
        0.0345421,
        0.0326988,
        0.0317235,
        0.0308627,
        0.0301344,
        0.0301851,
        0.029481,
        0.0289238,
        0.0290276,
        0.0289577,
        0.0286332,
        0.0278892,
        0.0289578,
        0.0285035,
        0.0280109,
        0.0280558,
        0.0279709,
        0.0285244,
        0.0284495,
        0.0291864,
        0.0289407,
        0.0281382,
        0.0284568,
        0.0284832,
        0.0285408,
        0.0283235,
        0.0286893,
        0.0286496,
        0.0284956,
        0.0286379,
        0.0288922,
        0.0286309,
        0.0288351,
        0.0287705,
        0.0285974,
        0.0293322,
        0.031572,
        0.0304087,
        0.0287666,
        0.0283968,
        0.02868,
        0.0286017,
        0.0293134,
        0.0293314,
        0.0296198,
        0.0291391,
        0.0288377,
        0.0327077,
        0.0322234,
        0.0291544,
        0.0289738,
        0.0286703,
        0.0282402,
        0.0283994,
        0.028415,
        0.0286067,
        0.0283264,
        0.0283156,
        0.0288471,
        0.0290186,
        0.0282723,
        0.0286397,
        0.0277406,
        0.0279748,
        0.0285516,
        0.028034,
        0.0281688,
        0.028318,
        0.0282022,
        0.0282803,
        0.0284322,
        0.0287485,
        0.0291261,
        0.0289708,
        0.0289806,
        0.0289695,
        0.0284613,
        0.0283398,
        0.0283672,
        0.028277,
        0.0283496,
        0.0286932,
        0.0296264,
        0.0291361,
        0.0300132,
        0.0300342,
        0.0300706,
        0.0301925,
        0.0299123,
        0.0301579,
        0.0298392,
        0.0297098,
        0.0291286,
        0.0291668,
        0.0289502,
        0.0288843,
        0.0293747,
        0.0306381,
        0.0298746,
        0.0289434,
        0.0284865,
        0.0281843,
        0.0285068,
        0.0289565,
        0.028752,
        0.0283853,
        0.0285518,
        0.0290593,
        0.0288505,
        0.0290341,
        0.029088,
        0.0285856,
        0.029565,
        0.0292648,
        0.0288899,
        0.0290127,
        0.0288204,
        0.0283337,
        0.0280246,
        0.0279892,
        0.0280331,
        0.0280112,
        0.0276436,
        0.0279093,
        0.0276491,
        0.0276918,
        0.0277609,
        0.0273606,
        0.0272177,
        0.0275453,
        0.027492,
        0.0276664,
        0.0279238,
        0.0273923,
        0.0276511,
        0.0276571,
        0.0274644,
        0.0274886,
        0.0277264,
        0.02748,
        0.0272962,
        0.0278428,
        0.0313332,
        0.0316462,
        0.0273572,
        0.0283453,
        0.0285279,
        0.0286754,
        0.0286816,
        0.0284035,
        0.0288715,
        0.0288351,
        0.0287338,
        0.0289813,
        0.0291308,
        0.0296733,
        0.0296999,
        0.0292053,
        0.0296063,
        0.0299964,
        0.0300404,
        0.0306251,
        0.0306522,
        0.0306804,
        0.0312337,
        0.0303005,
        0.03029,
        0.029787,
        0.0299679,
        0.0301295,
        0.0305581,
        0.0301944,
        0.0301421,
        0.0343506,
        0.0344357,
        0.0307474,
        0.030756,
        0.0307772,
        0.0301808,
        0.0304096,
        0.0311277,
        0.0313962,
        0.0324517,
        0.0334684,
        0.0395395,
        0.0408669,
        0.0377439,
        0.0382397,
        0.0363767,
        0.0348935,
        0.0335817,
        0.0338148,
        0.0320866,
        0.0309773,
        0.0306634,
        0.0296168,
        0.0288573,
        0.0290405,
        0.0290548,
        0.0285092,
        0.0284189,
        0.0282372,
        0.0284618,
        0.0284146,
        0.028823,
        0.02859,
        0.0283889,
        0.0283817,
        0.0286678,
        0.0280034,
        0.0286924,
        0.028391,
        0.0285068,
        0.0282379,
        0.0284886,
        0.0290035,
        0.0286157,
        0.0288288,
        0.0290384,
        0.0290211,
        0.0291473,
        0.0293155,
        0.0294208,
        0.0293449,
        0.0297836,
        0.0299982,
        0.0296307,
        0.0294846,
        0.0296812,
        0.0299878,
        0.0331681,
        0.0321556,
        0.0299829,
        0.0295537,
        0.0292194,
        0.0291992,
        0.0294382,
        0.0295018,
        0.0308343,
        0.030879,
        0.0302949,
        0.0306036,
        0.030282,
        0.0297524,
        0.0295345,
        0.0292783,
        0.0293263,
        0.0294233,
        0.0295042,
        0.0291246,
        0.0284279,
        0.0321425,
        0.03224,
        0.0290154,
        0.0293138,
        0.0290913,
        0.0295239,
        0.0292956,
        0.0292173,
        0.0290686,
        0.0296585,
        0.0298451,
        0.029968,
        0.0309256,
        0.0311897,
        0.0296963,
        0.03125,
        0.0374701,
        0.0346969,
        0.028471,
        0.0284317,
        0.0286188,
        0.0283262,
        0.0282805,
        0.0281222,
        0.0283339,
        0.0285591,
        0.0286646,
        0.0290469,
        0.0286044,
        0.0288223,
        0.028312,
        0.0291031,
        0.0290161,
        0.0292683,
        0.0287656,
        0.0291068,
        0.0286858,
        0.0287317,
        0.0290322,
        0.0289472,
        0.0294036,
        0.0300122,
        0.0305163,
        0.0304528,
        0.0303561,
        0.0305111,
        0.0308481,
        0.0310972,
        0.0312909,
        0.031481,
        0.0303602,
        0.0302926,
        0.0307984,
        0.0313872,
        0.0315998,
        0.0308851,
        0.0308301,
        0.0305559,
        0.0310083,
        0.032431,
        0.0321845,
        0.0331361,
        0.0344905,
        0.0418118,
        0.0397764,
        0.0337876,
        0.0333506,
        0.0331084,
        0.0319694,
        0.0310255,
        0.0303742,
        0.0307983,
        0.0301733,
        0.0300143,
        0.0300705,
        0.0289302,
        0.0285183,
        0.0285738,
        0.0285109,
        0.0282721,
        0.0276513,
        0.0276785,
        0.0277942,
        0.0276322,
        0.0301388,
        0.0312597,
        0.0283414,
        0.0280549,
        0.0281368,
        0.0282528,
        0.0284184,
        0.0285751,
        0.0285399,
        0.0283554,
        0.0282206,
        0.028072,
        0.0290054,
        0.0289371,
        0.0287592,
        0.0282632,
        0.0290118,
        0.0297626,
        0.0293724,
        0.0295362,
        0.0294219,
        0.029672,
        0.0294723,
        0.0312047,
        0.0313976,
        0.0295852,
        0.0296469,
        0.0296593,
        0.030795,
        0.0303438,
        0.0305471,
        0.0306779,
        0.0302018,
        0.030447,
        0.0309212,
        0.0309277,
        0.0308783,
        0.0311094,
        0.0311277,
        0.031436,
        0.0327069,
        0.0355664,
        0.0357964,
        0.0351443,
        0.0361485,
        0.0363303,
        0.0353112,
        0.0341619,
        0.0336365,
        0.0320742,
        0.0313936,
        0.0308533,
        0.0304241,
        0.0322036,
        0.0309267,
        0.030299,
        0.029624,
        0.0312299,
        0.0305239,
        0.0292247,
        0.0292699,
        0.0288812,
        0.0290883,
        0.0286967,
        0.0301207,
        0.0313254,
        0.0291902,
        0.0290064,
        0.0349799,
        0.0354651,
        0.0291275,
        0.0290868,
        0.02956,
        0.0299146,
        0.0293069,
        0.0296204,
        0.0298523,
        0.0296259,
        0.0298443,
        0.030398,
        0.0308294,
        0.0307743,
        0.0303024,
        0.0307819,
        0.0308026,
        0.0301874,
        0.0312687,
        0.0315243,
        0.0320516,
        0.0320386,
        0.0320184,
        0.0317771,
        0.0317626,
        0.0323852,
        0.031954,
        0.0320035,
        0.0323155,
        0.0315785,
        0.0320607,
        0.0319629,
        0.0330348,
        0.0334807,
        0.0328843,
        0.0328202,
        0.0331374,
        0.0327312,
        0.0329348,
        0.0331642,
        0.0334838,
        0.0332116,
        0.0324791,
        0.0336412,
        0.0332621,
        0.033689,
        0.0342906,
        0.0338788,
        0.0339177,
        0.0342937,
        0.0337748,
        0.0331156,
        0.0345145,
        0.0354037,
        0.0346463,
        0.0348279,
        0.0351335,
        0.0350865,
        0.0355627,
        0.0360295,
        0.036466,
        0.0360953,
        0.0368592,
        0.0371221,
        0.0374203,
        0.0376948,
        0.0388157,
        0.0382869,
        0.0388519,
        0.0438718,
        0.0457372,
        0.0419316,
        0.043504,
        0.0441721,
        0.0454542,
        0.0464743,
        0.0492153,
        0.0492298,
        0.0498447,
        0.0514712,
        0.0544507,
        0.0562537,
        0.0597737,
        0.0624522,
        0.0656739,
        0.0798078,
        0.0852274,
        0.0791974,
        0.083761,
        0.0942475,
        0.102495,
        0.111567,
        0.127292,
        0.136928,
        0.15068,
        0.20486,
        0.232503,
        0.242588,
        0.195934,
        0.163841,
        0.128451,
        0.124374,
        0.109676,
        0.100207,
        0.0909691,
        0.0849173,
        0.081176,
        0.0748346,
        0.0717219,
        0.0690194,
        0.0637621,
        0.0617011,
        0.0593441,
        0.0557728,
        0.0548346,
        0.0528928,
        0.0513943,
        0.0509299,
        0.0497628,
        0.0483063,
        0.0472844,
        0.0458997,
        0.0459785,
        0.0448314,
        0.0451116,
        0.0432324,
        0.0428159,
        0.0437181,
        0.0454142,
        0.0443353,
        0.0422788,
        0.0424795,
        0.0424453,
        0.0409206,
        0.0404508,
        0.0408156,
        0.0405133,
        0.0401049,
        0.0397137,
        0.0403601,
        0.0405664,
        0.0391427,
        0.0394886,
        0.0393205,
        0.0406702,
        0.0399252,
        0.0398636,
        0.039462,
        0.0403375,
        0.0395282,
        0.0404685,
        0.0412398,
        0.0415656,
        0.0434096,
        0.0447377,
        0.0431291,
        0.0419398,
        0.0416805,
        0.0405316,
        0.0397644,
        0.0392539,
        0.0375305,
        0.0377195,
        0.0374575,
        0.037347,
        0.0377103,
        0.037776,
        0.0367721,
        0.0354096,
        0.0355376,
        0.0353779,
        0.0353134,
        0.0349607,
        0.0352487,
        0.0352961,
        0.0353129,
        0.0354247,
        0.0352073,
        0.0355219,
        0.0351383,
        0.0346376,
        0.0354091,
        0.0345016,
        0.0345332,
        0.0347796,
        0.0346669,
        0.0346325,
        0.0356157,
        0.0363579,
        0.0366873,
        0.035422,
        0.0359689,
        0.0351108,
        0.0353248,
        0.0356398,
        0.0354563,
        0.0357338,
        0.0360913,
        0.0359402,
        0.0369168,
        0.039926,
        0.0416994,
        0.0371189,
        0.0364538,
        0.036536,
        0.036898,
        0.0371242,
        0.0367137,
        0.0381083,
        0.0378892,
        0.0369825,
        0.0374718,
        0.0377456,
        0.0370547,
        0.0371368,
        0.0376925,
        0.0379308,
        0.0379576,
        0.0384498,
        0.038467,
        0.0378926,
        0.0393584,
        0.0382989,
        0.0382359,
        0.0382571,
        0.0381365,
        0.0372831,
        0.0387038,
        0.041961,
        0.0435209,
        0.0395468,
        0.0389764,
        0.0392092,
        0.039618,
        0.0400434,
        0.0403047,
        0.040533,
        0.04174,
        0.0429859,
        0.0435155,
        0.0454559,
        0.0456648,
        0.047893,
        0.0498342,
        0.0506813,
        0.0512196,
        0.0519939,
        0.0532924,
        0.0518596,
        0.0508565,
        0.0505763,
        0.0517647,
        0.0509312,
        0.0514733,
        0.0515253,
        0.0522733,
        0.053069,
        0.0543195,
        0.0536109,
        0.0549176,
        0.0579405,
        0.0583725,
        0.0599981,
        0.0620751,
        0.0634825,
        0.0650754,
        0.0670561,
        0.069273,
        0.0736119,
        0.078159,
        0.0829194,
        0.0905477,
        0.0958875,
        0.10116,
        0.110542,
        0.123625,
        0.130277,
        0.138275,
        0.158284,
        0.179904,
        0.200513,
        0.223562,
        0.179642,
        0.161874,
        0.143556,
        0.133156,
        0.122335,
        0.110909,
        0.100321,
        0.0978606,
        0.0896786,
        0.0851775,
        0.0815018,
        0.0771705,
        0.0756024,
        0.0719942,
        0.0696503,
        0.0708606,
        0.0644375,
        0.0633193,
        0.0608028,
        0.0582802,
        0.0583528,
        0.0560888,
        0.0553306,
        0.0551944,
        0.0541962,
        0.0531683,
        0.0517026,
        0.0518866,
        0.0523132,
        0.0508463,
        0.0485774,
        0.0476241,
        0.0474234,
        0.04731,
        0.0474231,
        0.0475029,
        0.0483344,
        0.0485484,
        0.0477605,
        0.0471682,
        0.0455527,
        0.0450816,
        0.0456661,
        0.0463212,
        0.0459441,
        0.0468545,
        0.0483642,
        0.0508639,
        0.0504828,
        0.0467257,
        0.0556124,
        0.0512142,
        0.0431488,
        0.0431641,
        0.0426566,
        0.0427385,
        0.043199,
        0.0416372,
        0.0419188,
        0.0406645,
        0.0394224,
        0.0393356,
        0.039284,
        0.0394715,
        0.039636,
        0.039786,
        0.0390172,
        0.0382899,
        0.0375904,
        0.0369926,
        0.0366512,
        0.0370645,
        0.0375763,
        0.0391745,
        0.0387084,
        0.0385617,
        0.0376047,
        0.0375102,
        0.0373025,
        0.0367642,
        0.0376225,
        0.0374517,
        0.0372981,
        0.037657,
        0.0374944,
        0.037905,
        0.0370741,
        0.0367609,
        0.0364339,
        0.0366583,
        0.0367692,
        0.0373301,
        0.0375014,
        0.0367743,
        0.0365959,
        0.0375746,
        0.03791,
        0.0363525,
        0.0362273,
        0.0371409,
        0.0374514,
        0.0378434,
        0.0374307,
        0.0377357,
        0.0376273,
        0.0384486,
        0.0372552,
        0.0367847,
        0.0370929,
        0.0375785,
        0.0365422,
        0.0366959,
        0.0365021,
        0.0367564,
        0.0368013,
        0.0367031,
        0.0364596,
        0.0397794,
        0.0419634,
        0.0416536,
        0.0408208,
        0.0385184,
        0.0374904,
        0.0378918,
        0.0359508,
        0.0359752,
        0.0360055,
        0.036265,
        0.0355206,
        0.0354185,
        0.0355301,
        0.0347618,
        0.0351259,
        0.0351878,
        0.0349073,
        0.0383195,
        0.0376151,
        0.035032,
        0.0350758,
        0.0347812,
        0.0343116,
        0.034069,
        0.0333544,
        0.0343253,
        0.0340514,
        0.0345077,
        0.0352868,
        0.0356216,
        0.0346371,
        0.0347108,
        0.0349789,
        0.0347388,
        0.0350973,
        0.0347169,
        0.0352652,
        0.0357507,
        0.0372245,
        0.03707,
        0.0359197,
        0.03551,
        0.0359832,
        0.0360012,
        0.0366303,
        0.0368124,
        0.0363691,
        0.0366489,
        0.0372276,
        0.0366889,
        0.0361324,
        0.0367921,
        0.036532,
        0.0365976,
        0.0376132,
        0.0379576,
        0.0373441,
        0.0375048,
        0.0377229,
        0.037483,
        0.0368176,
        0.0370602,
        0.0376974,
        0.0424914,
        0.0416462,
        0.0370698,
        0.0361852,
        0.0357384,
        0.036241,
        0.0366159,
        0.0374894,
        0.0375339,
        0.037109,
        0.0364324,
        0.036537,
        0.0360209,
        0.0359774,
        0.0359796,
        0.0362995,
        0.0401965,
        0.0398723,
        0.035735,
        0.0364092,
        0.0361175,
        0.0353673,
        0.0353211,
        0.0360011,
        0.035496,
        0.0358727,
        0.0359529,
        0.0359598,
        0.0356524,
        0.0362852,
        0.0356578,
        0.0356371,
        0.035811,
        0.0354554,
        0.0355839,
        0.0357262,
        0.0363797,
        0.036518,
        0.0367918,
        0.0365399,
        0.03654,
        0.0365254,
        0.0366949,
        0.0374217,
        0.0377168,
        0.0373978,
        0.0377802,
        0.0377372,
        0.0375727,
        0.0419386,
        0.0419025,
        0.0389176,
        0.03886,
        0.0394592,
        0.0388784,
        0.0393273,
        0.042943,
        0.0445093,
        0.0420627,
        0.0427275,
        0.0432881,
        0.044853,
        0.046684,
        0.0486407,
        0.0517961,
        0.0567209,
        0.0646418,
        0.0672079,
        0.0738014,
        0.078237,
        0.0902942,
        0.083947,
        0.0708394,
        0.0761346,
        0.0698623,
        0.0652588,
        0.0557972,
        0.0531222,
        0.0505618,
        0.0478104,
        0.0453706,
        0.0438843,
        0.0420915,
        0.0417111,
        0.0412265,
        0.0431475,
        0.0446838,
        0.038863,
        0.0391543,
        0.0387442,
        0.038427,
        0.0383391,
        0.0367237,
        0.0370734,
        0.0366635,
        0.0359632,
        0.0362312,
        0.0359867,
        0.0368439,
        0.0356656,
        0.0362505,
        0.0361001,
        0.0361175,
        0.0354051,
        0.0354854,
        0.0365097,
        0.0366952,
        0.0361784,
        0.0363355,
        0.0358019,
        0.0352583,
        0.0356062,
        0.0359609,
        0.0370719,
        0.0374561,
        0.0367746,
        0.0365761,
        0.0362489,
        0.0369806,
        0.0364835,
        0.036848,
        0.0376325,
        0.0375262,
        0.037453,
        0.0379032,
        0.0387401,
        0.0382754,
        0.0370973,
        0.0375597,
        0.0379332,
        0.0371098,
        0.0370026,
        0.0391295,
        0.0390077,
        0.0382698,
        0.0382502,
        0.0376938,
        0.0374879,
        0.0383844,
        0.0381592,
        0.039246,
        0.0384452,
        0.0374258,
        0.0376199,
        0.0381183,
        0.0377159,
        0.0369757,
        0.0371274,
        0.0372496,
        0.0372912,
        0.043099,
        0.0416026,
        0.037236,
        0.0376798,
        0.0375136,
        0.0366241,
        0.0367614,
        0.0376167,
        0.0378015,
        0.0374918,
        0.0373587,
        0.0363149,
        0.0366041,
        0.0367991,
        0.0377251,
        0.0376885,
        0.0372584,
        0.0371433,
        0.0371287,
        0.0371344,
        0.0365479,
        0.0368047,
        0.0368294,
        0.0376697,
        0.0366013,
        0.0365939,
        0.0374362,
        0.0371257,
        0.0367999,
        0.0359156,
        0.0368022,
        0.0369522,
        0.0370652,
        0.0379054,
        0.0425425,
        0.0387389,
        0.0379363,
        0.0400586,
        0.0388999,
        0.0385656,
        0.0385373,
        0.0388226,
        0.039009,
        0.0383067,
        0.0387318,
        0.0428002,
        0.0444804,
        0.0400477,
        0.0400383,
        0.0401134,
        0.0396416,
        0.0393444,
        0.0398931,
        0.0399592,
        0.0398217,
        0.0401737,
        0.039905,
        0.0393188,
        0.042469,
        0.0438293,
        0.0397281,
        0.0403795,
        0.0396587,
        0.0397939,
        0.0398594,
        0.0388624,
        0.0388549,
        0.0391943,
        0.0392582,
        0.0395049,
        0.0386222,
        0.0396169,
        0.0387594,
        0.0388017,
        0.0383386,
        0.0385632,
        0.0381681,
        0.0391129,
        0.0389463,
        0.0388292,
        0.0384066,
        0.0388475,
        0.0393421,
        0.0389163,
        0.0382694,
        0.0377229,
        0.0381264,
        0.0378202,
        0.0386643,
        0.0393175,
        0.0385657,
        0.0397231,
        0.0386681,
        0.0384884,
        0.0384966,
        0.0401689,
        0.0397507,
        0.040026,
        0.0395725,
        0.0392633,
        0.0396013,
        0.0397809,
        0.0385632,
        0.039896,
        0.0407721,
        0.0452069,
        0.0416848,
        0.0407819,
        0.041103,
        0.0412228,
        0.0413817,
        0.0410497,
        0.0419549,
        0.0421522,
        0.0407562,
        0.0408258,
        0.0423191,
        0.0425458,
        0.0422895,
        0.0422792,
        0.0422534,
        0.0432303,
        0.0427859,
        0.0421927,
        0.0433537,
        0.0449744,
        0.0444272,
        0.0458607,
        0.055189,
        0.0491132,
        0.0444669,
        0.0437805,
        0.0441023,
        0.044003,
        0.0435469,
        0.042609,
        0.0424346,
        0.0441298,
        0.0424835,
        0.0418986,
        0.0423632,
        0.0416372,
        0.0411108,
        0.0420088,
        0.0418473,
        0.0403157,
        0.0413439,
        0.0412143,
        0.0419929,
        0.0416377,
        0.0408558,
        0.0401898,
        0.0401854,
        0.0408804,
        0.0411646,
        0.0442649,
        0.0434671,
        0.0407418,
        0.0414623,
        0.0414344,
        0.0408645,
        0.0408932,
        0.0410625,
        0.0413901,
        0.041084,
        0.0410793,
        0.0418194,
        0.0423736,
        0.0423813,
        0.0411389,
        0.0420177,
        0.0423459,
        0.0432729,
        0.0430912,
        0.0435005,
        0.0432106,
        0.043695,
        null,
        0.0362851,
        0.0370131,
        0.0370458,
        0.0377562,
        0.0374373,
        0.0376393,
        0.0373884,
        0.0372667,
        0.0370911,
        0.0372675,
        0.0380325,
        0.0390396,
        0.0405188,
        0.0412247,
        0.0434308,
        0.0445766,
        0.0450983,
        0.0446151,
        0.0430939,
        0.0415869,
        0.040249,
        0.0386994,
        0.0377395,
        0.0375951,
        0.0375017,
        0.037194,
        0.0366385,
        0.0360358,
        0.0359623,
        0.0366051,
        0.0365507,
        0.0359833,
        0.0358761,
        0.0357559,
        0.0356632,
        0.0356343,
        0.0356224,
        0.0354956,
        0.0351782,
        0.0345332,
        0.0348934,
        0.0352458,
        0.0351569,
        0.0347739,
        0.0346423,
        0.0346971,
        0.0344077,
        0.0344092,
        0.0344549,
        0.0343511,
        0.0343511,
        0.0341253,
        0.0339236,
        0.0341117,
        0.0344043,
        0.0346454,
        0.0345929,
        0.034144,
        0.0342046,
        0.0342734,
        0.0342545,
        0.0348137,
        0.0346183,
        0.0348483,
        0.0345381,
        0.0350535,
        0.0377168,
        0.0371617,
        0.0357881,
        0.0363578,
        0.0365278,
        0.0365488,
        0.0362913,
        0.0363481,
        0.0362304,
        0.0363254,
        0.0367024,
        0.0363828,
        0.0366481,
        0.0371873,
        0.0363658,
        0.0368403,
        0.03779,
        0.0400078,
        0.0385362,
        0.0366939,
        0.03665,
        0.0369292,
        0.0363805,
        0.0360587,
        0.0362589,
        0.0365833,
        0.0363127,
        0.0365868,
        0.0360904,
        0.0358332,
        0.0361677,
        0.0375076,
        0.0367291,
        0.0361248,
        0.0362776,
        0.0360284,
        0.0360858,
        0.03656,
        0.0367928,
        0.0368443,
        0.0363208,
        0.0365609,
        0.0374589,
        0.0375485,
        0.0379144,
        0.0386836,
        0.0394353,
        0.0393449,
        0.0400715,
        0.0423086,
        0.0443555,
        0.0446177,
        0.0463441,
        0.0490379,
        0.0510559,
        0.0535613,
        0.0545151,
        0.0547591,
        0.0537692,
        0.0521942,
        0.0501413,
        0.0469934,
        0.0463728,
        0.0453505,
        0.0439767,
        0.0431043,
        0.0424431,
        0.0413025,
        0.0408916,
        0.0410877,
        0.0411115,
        0.0401888,
        0.0403625,
        0.0401523,
        0.0404401,
        0.0397353,
        0.0403609,
        0.0407526,
        0.0404795,
        0.0396318,
        0.0396258,
        0.0403282,
        0.0406437,
        0.0407388,
        0.0396361,
        0.0399301,
        0.0481779,
        0.0478329,
        0.0387638,
        0.0401505,
        0.039938,
        0.0399195,
        0.0407195,
        0.0399557,
        0.0400211,
        0.0413477,
        0.0411243,
        0.0410946,
        0.0408955,
        0.0412627,
        0.041189,
        0.0415749,
        0.0428282,
        0.0417182,
        0.04195,
        0.042266,
        0.0428057,
        0.0426388,
        0.0435464,
        0.0444859,
        0.0445586,
        0.0439801,
        0.0442796,
        0.0465464,
        0.0471094,
        0.0471535,
        0.0474479,
        0.0488534,
        0.0499929,
        0.0505656,
        0.0524919,
        0.0526251,
        0.0534281,
        0.0540133,
        0.0554347,
        0.056175,
        0.0574323,
        0.0594222,
        0.0606243,
        0.0611279,
        0.064019,
        0.0653344,
        0.0687088,
        0.0688275,
        0.0678495,
        0.0703574,
        0.0716139,
        0.0772375,
        0.0806783,
        0.0787007,
        0.0824892,
        0.0858579,
        0.0902147,
        0.0943498,
        0.098021,
        0.1014,
        0.109495,
        0.119667,
        0.126039,
        0.140961,
        0.149254,
        0.160586,
        0.178931,
        0.212138,
        0.204942,
        0.26451,
        0.224146,
        0.181645,
        0.172632,
        0.156206,
        0.149463,
        0.139939,
        0.124114,
        0.116962,
        0.106032,
        0.101025,
        0.101447,
        0.0940426,
        0.0897177,
        0.0853471,
        0.0796976,
        0.0765909,
        0.0763547,
        0.0739957,
        0.071675,
        0.0673114,
        0.0657007,
        0.0657912,
        0.0622487,
        0.0598638,
        0.0587941,
        0.0564475,
        0.0564028,
        0.0556943,
        0.0543883,
        0.0524409,
        0.0514002,
        0.0509671,
        0.0491822,
        0.0487429,
        0.048495,
        0.0477282,
        0.0474339,
        0.0474849,
        0.0462463,
        0.0461102,
        0.0451029,
        0.0448506,
        0.0449562,
        0.0442209,
        0.0426756,
        0.0430893,
        0.0429414,
        0.0473291,
        0.0451378,
        0.0423353,
        0.0426155,
        0.0439471,
        0.0423109,
        0.0405892,
        0.0407921,
        0.0408753,
        0.041045,
        0.0402263,
        0.0398926,
        0.0413066,
        0.0400764,
        0.0387872,
        0.0387344,
        0.0388233,
        0.038513,
        0.0384247,
        0.0381547,
        0.0385887,
        0.0391691,
        0.0391846,
        0.0380142,
        0.0372368,
        0.0371461,
        0.0373366,
        0.0368419,
        0.0371049,
        0.0369304,
        0.0413436,
        0.038965,
        0.0356888,
        0.0380877,
        0.0371438,
        0.0351057,
        0.0351307,
        0.0350214,
        0.0348266,
        0.0340044,
        0.0343654,
        0.0341636,
        0.0337247,
        0.0338155,
        0.0337758,
        0.0336365,
        0.0330775,
        0.0331761,
        0.0335289,
        0.0335713,
        0.0351315,
        0.0358586,
        0.0332367,
        0.0332071,
        0.0332157,
        0.0330784,
        0.0336333,
        0.0328304,
        0.0331312,
        0.0336616,
        0.0336273,
        0.0326341,
        0.0328985,
        0.0332492,
        0.0342756,
        0.0334399,
        0.0331685,
        0.0334021,
        0.0332826,
        0.0332108,
        0.0337216,
        0.0336523,
        0.0345149,
        0.0345329,
        0.03449,
        0.034515,
        0.0342219,
        0.0338423,
        0.03434,
        0.0339253,
        0.0338857,
        0.0346155,
        0.0334082,
        0.0337386,
        0.0335806,
        0.0331187,
        0.0330319,
        0.0333461,
        0.0329798,
        0.0328501,
        0.0324423,
        0.0320535,
        0.0322755,
        0.0326818,
        0.0322918,
        0.0325069,
        0.0321255,
        0.0312807,
        0.0324085,
        0.0326025,
        0.034019,
        0.032235,
        0.0311112,
        0.0315884,
        0.0315272,
        0.0315723,
        0.0317317,
        0.0312917,
        0.0305585,
        0.0313057,
        0.0308561,
        0.0306968,
        0.0309777,
        0.0309491,
        0.0307392,
        0.0302376,
        0.0304473,
        0.0308123,
        0.0308348,
        0.0307529,
        0.0300976,
        0.030649,
        0.03093,
        0.0308499,
        0.0313126,
        0.0311466,
        0.0312329,
        0.0308563,
        0.0311599,
        0.0312755,
        0.0311306,
        0.0313768,
        0.0315692,
        0.0309951,
        0.0310561,
        0.0312663,
        0.0318447,
        0.0323409,
        0.0323224,
        0.0325672,
        0.0317961,
        0.0314649,
        0.0316986,
        0.032062,
        0.0314859,
        0.0316189,
        0.0310061,
        0.0312781,
        0.0309321,
        0.031445,
        0.0313939,
        0.03204,
        0.0317166,
        0.031314,
        0.031341,
        0.0312774,
        0.0304357,
        0.0306165,
        0.0305189,
        0.0309973,
        0.03099,
        0.0311804,
        0.0304797,
        0.0302272,
        0.030211,
        0.0304361,
        0.0300921,
        0.0304353,
        0.0309462,
        0.0308409,
        0.0301335,
        0.031165,
        0.03085,
        0.0303126,
        0.0308723,
        0.0318853,
        0.0307845,
        0.0310076,
        0.0303984,
        0.0309817,
        0.0324478,
        0.0320229,
        0.0305245,
        0.0305196,
        0.0303474,
        0.0305952,
        0.0302235,
        0.0300711,
        0.0304963,
        0.0304758,
        0.0323782,
        0.0309141,
        0.0314476,
        0.0317986,
        0.0314315,
        0.0314413,
        0.0309657,
        0.0302804,
        0.030503,
        0.0304695,
        0.0306426,
        0.0306745,
        0.0309953,
        0.0308814,
        0.0307407,
        0.0310236,
        0.0308325,
        0.0364982,
        0.0364121,
        0.0318722,
        0.0320361,
        0.0320983,
        0.0317367,
        0.0316842,
        0.0311643,
        0.03125,
        0.0302859,
        0.0304076,
        0.0301656,
        0.0303566,
        0.0305476,
        0.0302318,
        0.0297622,
        0.0297942,
        0.0303279,
        0.0303332,
        0.0297137,
        0.0293909,
        0.0291304,
        0.0293692,
        0.0294583,
        0.0295295,
        0.0293223,
        0.0291627,
        0.0289745,
        0.0289434,
        0.0294558,
        0.029212,
        0.0288088,
        0.0294512,
        0.0294161,
        0.0292056,
        0.0292646,
        0.0292628,
        0.0299902,
        0.0295189,
        0.0295746,
        0.0297471,
        0.0301417,
        0.0296646,
        0.0291718,
        0.0298521,
        0.0298114,
        0.0297231,
        0.0303572,
        0.0303628,
        0.0305928,
        0.0307156,
        0.0308198,
        0.0312595,
        0.0310731,
        0.0315155,
        0.0324227,
        0.0324679,
        0.0316531,
        0.0318903,
        0.0323556,
        0.0323725,
        0.0320178,
        0.031725,
        0.0318416,
        0.0323717,
        0.032342,
        0.0326324,
        0.0320561,
        0.0327162,
        0.0330282,
        0.0353277,
        0.0351606,
        0.036328,
        0.0364486,
        0.0323123,
        0.0321035,
        0.0319365,
        0.0322447,
        0.0314996,
        0.031443,
        0.0314863,
        0.0313217,
        0.0311043,
        0.0307993,
        0.0308788,
        0.0308019,
        0.0304614,
        0.0303285,
        0.0306189,
        0.0302392,
        0.0321861,
        0.0327507,
        0.0302222,
        0.0306679,
        0.0300308,
        0.0306186,
        0.0308507,
        0.0302257,
        0.031011,
        0.0306927,
        0.0309128,
        0.0310257,
        0.0307957,
        0.0308367,
        0.0312444,
        0.0314864,
        0.0322075,
        0.0317216,
        0.0318784,
        0.0321614,
        0.0325338,
        0.0326941,
        0.0331276,
        0.0327148,
        0.0334275,
        0.0337006,
        0.0361699,
        0.0361575,
        0.0334013,
        0.0349301,
        0.0347123,
        0.0330843,
        0.0337879,
        0.0335499,
        0.0331719,
        0.0328327,
        0.0324904,
        0.0326401,
        0.0328322,
        0.031905,
        0.0315777,
        0.0316451,
        0.0321597,
        0.0318132,
        0.0339561,
        0.0323381,
        0.0320492,
        0.0318912,
        0.0317733,
        0.0324959,
        0.0323987,
        0.0316662,
        0.0319536,
        0.0321521,
        0.0331948,
        0.0317471,
        0.0326188,
        0.0327171,
        0.0320888,
        0.031706,
        0.0316172,
        0.031972,
        0.0317084,
        0.031964,
        0.0321826,
        0.0327364,
        0.0333956,
        0.0322563,
        0.0320115,
        0.0320226,
        0.0316405,
        0.0316584,
        0.0324209,
        0.0326159,
        0.0318134,
        0.0316414,
        0.0315526,
        0.0312284,
        0.0309689,
        0.0313769,
        0.0319733,
        0.0315772,
        0.032125,
        0.032653,
        0.0314399,
        0.0316132,
        0.0324944,
        0.0328001,
        0.0327449,
        0.0333868,
        0.0335877,
        0.0338193,
        0.0334804,
        0.0333313,
        0.0333481,
        0.033337,
        0.0337018,
        0.0343422,
        0.0344395,
        0.0338922,
        0.0334397,
        0.0328998,
        0.0332951,
        0.0338077,
        0.0334337,
        0.0336696,
        0.0336059,
        0.033946,
        0.0342825,
        0.0339881,
        0.0343949,
        0.0336274,
        0.0328928,
        0.0340394,
        0.0339314,
        0.0338197,
        0.0334691,
        0.0338026,
        0.0336553,
        0.0333829,
        0.0330966,
        0.0332311,
        0.0331397,
        0.0334595,
        0.0334633,
        0.0335672,
        0.0338209,
        0.0339487,
        0.0337934,
        0.0334626,
        0.0338143,
        0.0336713,
        0.0338987,
        0.033347,
        0.0332977,
        0.0353635,
        0.0340236,
        0.0339775,
        0.033705,
        0.0336281,
        0.0335421,
        0.0340401,
        0.0340303,
        0.0342379,
        0.0341321,
        0.0346217,
        0.0355972,
        0.0354873,
        0.0357004,
        0.0361245,
        0.0366065,
        0.0365483,
        0.0368944,
        0.0364456,
        0.036057,
        0.0360429,
        0.0368502,
        0.0365496,
        0.0364351,
        0.0365393,
        0.0365971,
        0.0369466,
        0.0375683,
        0.0374361,
        0.0367691,
        0.0364948,
        0.0363561,
        0.0365655,
        0.0368021,
        0.0372995,
        0.0371077,
        0.0379967,
        0.038052,
        0.0397961,
        0.0391482,
        0.0373244,
        0.037435,
        0.0374535,
        0.0382062,
        0.0378642,
        0.0378545,
        0.0380447,
        0.0383119,
        0.0378176,
        0.0377991,
        0.037636,
        0.0375807,
        0.0369737,
        0.0372345,
        0.0373082,
        0.0372106,
        0.037422,
        0.0370545,
        0.0378388,
        0.038447,
        0.0380323,
        0.038551,
        0.0380115,
        0.0378881,
        0.0383578,
        0.0392429,
        0.0418747,
        0.0432833,
        0.0401217,
        0.0406067,
        0.0410221,
        0.0415254,
        0.0415377,
        0.0411687,
        0.041381,
        0.042054,
        0.0430981,
        0.0420602,
        0.0429319,
        0.042278,
        0.0426639,
        0.0426736,
        0.0432335,
        0.0486373,
        0.0489385,
        0.0438231,
        0.0434626,
        0.0442622,
        0.0452381,
        0.0445551,
        0.04475,
        0.0449459,
        0.0448318,
        0.0453693,
        0.0459071,
        0.0470305,
        0.0468045,
        0.047131,
        0.0471319,
        0.047058,
        0.0465976,
        0.0488348,
        0.0488303,
        0.0478164,
        0.0484535,
        0.0466047,
        0.0485194,
        0.0488871,
        0.0489317,
        0.0551314,
        0.052781,
        0.0521647,
        0.0539196,
        0.0543595,
        0.0519043,
        0.0507078,
        0.0520861,
        0.0526785,
        0.053674,
        0.0537546,
        0.0663996,
        0.0687994,
        0.0557203,
        0.0558188,
        0.0572867,
        0.0585081,
        0.0597063,
        0.0603202,
        0.0612826,
        0.0604662,
        0.0618352,
        0.0653493,
        0.0680929,
        0.0709651,
        0.070673,
        0.072568,
        0.0746258,
        0.0764525,
        0.0785983,
        0.082941,
        0.0880816,
        0.0915188,
        0.0963991,
        0.0960984,
        0.101799,
        0.105608,
        0.108019,
        0.140591,
        0.143404,
        0.128473,
        0.148816,
        0.167423,
        0.175405,
        0.203707,
        0.245491,
        0.244709,
        0.209711,
        0.170704,
        0.19577,
        0.184399,
        0.159418,
        0.175677,
        0.167351,
        0.155978,
        0.148959,
        0.15953,
        0.158364,
        0.168823,
        0.169481,
        0.159289,
        0.145365,
        0.155336,
        0.15685,
        0.175084,
        0.17315,
        0.185574,
        0.184413,
        0.176513,
        0.178689,
        0.189162,
        0.193488,
        0.201743,
        0.224312,
        null,
        0.230182,
        0.216445,
        0.209973,
        0.197897,
        0.205852,
        0.181908,
        0.173271,
        0.198919,
        0.174474,
        0.159278,
        0.160073,
        0.154293,
        0.148544,
        0.154712,
        0.144534,
        0.142254,
        0.133283,
        0.134317,
        0.129977,
        0.127985,
        0.120981,
        0.122747,
        0.121218,
        0.118399,
        0.112418,
        0.107299,
        0.108724,
        0.104675,
        0.107636,
        0.10169,
        0.0967407,
        0.0966458,
        0.0949285,
        0.0960575,
        0.0954401,
        0.0945823,
        0.0900347,
        0.0907782,
        0.0908422,
        0.089625,
        0.0853299,
        0.0824845,
        0.0860565,
        0.0802514,
        0.0796703,
        0.0783145,
        0.0739728,
        0.0746978,
        0.077456,
        0.0762353,
        0.0744507,
        0.0749956,
        0.0720442,
        0.0707172,
        0.0708046,
        0.0698098,
        0.0675239,
        0.0693552,
        0.0676732,
        0.0664858,
        0.0661775,
        0.0656289,
        0.0663198,
        0.0648323,
        0.0653166,
        0.0635294,
        0.0637158,
        0.0623031,
        0.0626546,
        0.063194,
        0.064386,
        0.0606098,
        0.0619492,
        0.0611884,
        0.061489,
        0.0614307,
        0.0604712,
        0.0597219,
        0.0602372,
        0.0601676,
        0.0615017,
        0.0594782,
        0.0572397,
        0.0570034,
        0.0565484,
        0.0571436,
        0.0577787,
        0.0584002,
        0.0593609,
        0.0578625,
        0.0578155,
        0.0572149,
        0.0568994,
        0.0580872,
        0.0577817,
        0.0557478,
        0.0552464,
        0.0550092,
        0.0548961,
        0.0545657,
        0.0560939,
        0.0546675,
        0.0532251,
        0.0551833,
        0.0544822,
        0.0541656,
        0.0528382,
        0.0520953,
        0.0582993,
        0.0584822,
        0.0572836,
        0.0547854,
        0.0497941,
        0.0508565,
        0.0512577,
        0.0507272,
        0.0501439,
        0.0502682,
        0.0511611,
        0.0515244,
        0.0516804,
        0.0510703,
        0.0493153,
        0.0474645,
        0.0477285,
        0.0487583,
        0.0485513,
        0.0483715,
        0.0485592,
        0.049959,
        0.0487105,
        0.0487237,
        0.048014,
        0.0496891,
        0.0510677,
        0.0485031,
        0.0485682,
        0.0492183,
        0.04935,
        0.0485559,
        0.0484476,
        0.048392,
        0.0493407,
        0.0497913,
        0.0501412,
        0.0499722,
        0.0487683,
        0.0489545,
        0.0490436,
        0.0488701,
        0.0498707,
        0.0484699,
        0.0488026,
        0.0493283,
        0.0487981,
        0.049853,
        0.0506892,
        0.0494698,
        0.0497482,
        0.0486356,
        0.0493762,
        0.0494021,
        0.0484128,
        0.048172,
        0.047823,
        0.0490127,
        0.0485393,
        0.0478801,
        0.0495297,
        0.0492055,
        0.0481965,
        0.0497064,
        0.0490779,
        0.0478508,
        0.048165,
        0.0486454,
        0.0486833,
        0.0491519,
        0.0497185,
        0.0497266,
        0.0494757,
        0.0489548,
        0.061056,
        0.0600625,
        0.0511333,
        0.0515428,
        0.0510905,
        0.0483983,
        0.0486122,
        0.0500347,
        0.0490503,
        0.0482446,
        0.0482328,
        0.0483798,
        0.0486136,
        0.0478704,
        0.0473365,
        0.0475966,
        0.0470867,
        0.0469908,
        0.0464269,
        0.0470689,
        0.0541855,
        0.0531562,
        0.0526024,
        0.0516132,
        0.0482727,
        0.0480418,
        0.0486991,
        0.0482779,
        0.0474957,
        0.0482715,
        0.0480264,
        0.0494557,
        0.0504833,
        0.0487384,
        0.049029,
        0.0511353,
        0.0510036,
        0.0509391,
        0.0496028,
        0.0494095,
        0.0497468,
        0.0503105,
        0.0503244,
        0.0506319,
        0.050473,
        0.0515943,
        0.049888,
        0.0506958,
        0.0502135,
        0.0494995,
        0.0497328,
        0.0502646,
        0.0497247,
        0.0494011,
        0.0506665,
        0.0524567,
        0.0530496,
        0.0547936,
        0.05154,
        0.049945,
        0.0504489,
        0.0504694,
        0.0493102,
        0.051126,
        0.0518725,
        0.0565301,
        0.056091,
        0.0511507,
        0.0509367,
        0.0502191,
        0.0510823,
        0.051335,
        0.0532115,
        0.052296,
        0.0516813,
        0.0517803,
        0.0520863,
        0.0529061,
        0.0523081,
        0.0542081,
        0.0547457,
        0.0537997,
        0.0532117,
        0.0539478,
        0.055992,
        0.0551763,
        0.0544216,
        0.0546889,
        0.0565406,
        0.0572071,
        0.0591102,
        0.0578385,
        0.0584808,
        0.0585345,
        0.0584943,
        0.0601295,
        0.0613074,
        0.0616014,
        0.0627673,
        0.0649206,
        0.064435,
        0.0631562,
        0.0616678,
        0.0649144,
        0.0630652,
        0.0643159,
        0.0666566,
        0.0656065,
        0.0654446,
        0.0679891,
        0.0689165,
        0.0668867,
        0.0688305,
        0.0725968,
        0.0723068,
        0.0729934,
        0.0731655,
        0.0758296,
        0.0800659,
        0.0824869,
        0.0747165,
        0.0792747,
        0.0828299,
        0.0816415,
        0.0789713,
        0.0811349,
        0.0827878,
        0.0829598,
        0.081413,
        0.0808145,
        0.0856714,
        0.0880165,
        0.0890348,
        0.0918866,
        0.0915969,
        0.0942504,
        0.0953327,
        0.0940745,
        0.09741,
        0.105698,
        0.109598,
        0.11045,
        0.113636,
        0.11964,
        0.118516,
        0.12579,
        0.121261,
        0.12572,
        0.128946,
        0.129159,
        0.139045,
        0.130766,
        0.149644,
        0.169153,
        0.169913,
        0.186908,
        0.203693,
        0.199636,
        0.20007,
        null,
        0.248428,
        0.227063,
        0.226664,
        0.206402,
        0.214751,
        0.189475,
        0.173404,
        0.189653,
        0.161647,
        0.151121,
        0.153861,
        0.146618,
        0.150919,
        0.143914,
        0.135059,
        0.12861,
        0.125906,
        0.122182,
        0.124387,
        0.115895,
        0.11129,
        0.102213,
        0.10619,
        0.121285,
        0.11183,
        0.107291,
        0.103191,
        0.10066,
        0.0963539,
        0.0928519,
        0.0900453,
        0.0903661,
        0.0887191,
        0.0884133,
        0.0848459,
        0.0831,
        0.0836729,
        0.0815894,
        0.0788203,
        0.0747055,
        0.0796757,
        0.0829631,
        0.0800716,
        0.0763768,
        0.0725274,
        0.0697558,
        0.0711789,
        0.0728127,
        0.0715219,
        0.0697857,
        0.0823447,
        0.0779672,
        0.0679397,
        0.0680096,
        0.0664857,
        0.0649972,
        0.0679095,
        0.0662714,
        0.0752703,
        0.0752942,
        0.0665442,
        0.0647628,
        0.0660888,
        0.0669579,
        0.0662468,
        0.0637906,
        0.0654405,
        0.065605,
        0.0639008,
        0.0636505,
        0.062737,
        0.0632257,
        0.0624678,
        0.0650257,
        0.0643912,
        0.0660185,
        0.073377,
        0.0714073,
        0.0673527,
        0.0650811,
        0.0640249,
        0.0653885,
        0.0666517,
        0.0713027,
        0.0777683,
        0.0701442,
        0.0729342,
        0.0771426,
        0.0843979,
        0.0925655,
        0.0846384,
        0.0890679,
        0.0907064,
        0.0939202,
        0.10151,
        0.110883,
        0.113561,
        0.113439,
        0.106062,
        0.0959319,
        0.091318,
        0.0891036,
        0.0816643,
        0.0744603,
        0.0741784,
        0.0708159,
        0.0689625,
        0.0727551,
        0.0663308,
        0.06065,
        0.0603326,
        0.0585701,
        0.0576898,
        0.0579238,
        0.0578553,
        0.0576459,
        0.0582215,
        0.0560446,
        0.0567214,
        0.056929,
        0.0568042,
        0.058512,
        0.0571679,
        0.0554856,
        0.0546449,
        0.055704,
        0.0542589,
        0.0534404,
        0.0521803,
        0.0531649,
        0.0531967,
        0.0512002,
        0.0512745,
        0.0512417,
        0.0518261,
        0.051507,
        0.0506814,
        0.0502381,
        0.050307,
        0.0503599,
        0.0498735,
        0.0515922,
        0.0507232,
        0.0496174,
        0.0498381,
        0.0490002,
        0.0487952,
        0.0483411,
        0.0545029,
        0.0554618,
        0.0487648,
        0.0489525,
        0.048473,
        0.0497985,
        0.0492464,
        0.0486288,
        0.050164,
        0.0515166,
        0.0514633,
        0.0494721,
        0.0474822,
        0.0556584,
        0.053132,
        0.0477755,
        0.0483089,
        0.0474002,
        0.0465328,
        0.0455597,
        0.0459513,
        0.0458856,
        0.0453465,
        0.0448551,
        0.04515,
        0.0448069,
        0.0453335,
        0.0458793,
        0.0455767,
        0.045735,
        0.0448895,
        0.0449288,
        0.0447221,
        0.0442513,
        0.0448018,
        0.0473145,
        0.0466306,
        0.0478985,
        0.0482927,
        0.0460822,
        0.0471208,
        0.0473298,
        0.046142,
        0.0457061,
        0.0438979,
        0.0438178,
        0.0433632,
        0.0441504,
        0.0438658,
        0.0449134,
        0.0437049,
        0.0437446,
        0.0443946,
        0.0444991,
        0.044142,
        0.0455717,
        0.0460531,
        0.0447568,
        0.0456769,
        0.0453139,
        0.0459965,
        0.0457141,
        0.0466573,
        0.046436,
        0.0454356,
        0.0457498,
        0.0463863,
        0.0470322,
        0.0471795,
        0.0474552,
        0.045606,
        0.0452482,
        0.0437704,
        0.0445823,
        0.0446495,
        0.044992,
        0.0468766,
        0.0453448,
        0.045648,
        0.0444878,
        0.0444786,
        0.0439836,
        0.0442764,
        0.0439591,
        0.0441159,
        0.0429772,
        0.042614,
        0.0431192,
        0.0437,
        0.0419209,
        0.0418645,
        0.0426119,
        0.0424672,
        0.0426613,
        0.0425703,
        0.0425355,
        0.0424654,
        0.0422949,
        0.0428709,
        0.0433342,
        0.042208,
        0.0414913,
        0.0430329,
        0.0414853,
        0.0428053,
        0.0434529,
        0.0421971,
        0.0432371,
        0.0438171,
        0.0436317,
        0.0434412,
        0.0435799,
        0.0445135,
        0.0446041,
        0.0447866,
        0.04536,
        0.0455959,
        0.0462322,
        0.0472697,
        0.0499235,
        0.0533897,
        0.0557742,
        0.0606008,
        0.0629602,
        0.0629251,
        0.0619084,
        0.0608145,
        0.0573702,
        0.0588114,
        0.0524606,
        0.0512921,
        0.0492263,
        0.0481341,
        0.0469261,
        0.0464311,
        0.0460232,
        0.0451836,
        0.045591,
        0.0460438,
        0.0448964,
        0.0445675,
        0.045113,
        0.0531664,
        0.0501972,
        0.0455974,
        0.0446152,
        0.0438287,
        0.0436028,
        0.0441551,
        0.0445181,
        0.0443147,
        0.0432077,
        0.0438082,
        0.0452643,
        0.0444731,
        0.0425594,
        0.0432631,
        0.0426309,
        0.0415558,
        0.0424631,
        0.0426231,
        0.0426678,
        0.0433392,
        0.0421746,
        0.0425757,
        0.0422551,
        0.0421282,
        0.0416511,
        0.0414005,
        0.0417974,
        0.0438757,
        0.0471213,
        0.0456447,
        0.0426494,
        0.0421809,
        0.0421462,
        0.0421717,
        0.0420191,
        0.0424959,
        0.0417915,
        0.0419606,
        0.0415442,
        0.0419955,
        0.0424259,
        0.0425455,
        0.0429207,
        0.042431,
        0.0427524,
        0.0420458,
        0.0432265,
        0.0424445,
        0.0432817,
        0.0432562,
        0.0428509,
        0.0430897,
        0.0437273,
        0.0438166,
        0.0439398,
        0.0439856,
        0.0436189,
        0.0433988,
        0.043465,
        0.0429041,
        0.0437022,
        0.0433143,
        0.0445928,
        0.0447207,
        0.0453622,
        0.0445092,
        0.0450559,
        0.044379,
        0.043891,
        0.044381,
        0.0465465,
        0.045203,
        0.0437229,
        0.044247,
        0.0448894,
        0.0454701,
        0.044977,
        0.0453973,
        0.0446462,
        0.043927,
        0.0435308,
        0.0441666,
        0.0440969,
        0.0436335,
        0.0437711,
        0.0447962,
        0.0442048,
        0.0439875,
        0.0431499,
        0.0429006,
        0.0430414,
        0.0426992,
        0.0419601,
        0.0410489,
        0.0416644,
        0.0429647,
        0.0425622,
        0.0429768,
        0.0445867,
        0.0455271,
        0.0451602,
        0.042341,
        0.0433099,
        0.0423932,
        0.0432395,
        0.0440797,
        0.0427256,
        0.0441446,
        0.0427957,
        0.042661,
        0.0435778,
        0.043822,
        0.0446791,
        0.0442505,
        0.0433991,
        0.0423667,
        0.0427414,
        0.0445972,
        0.0448261,
        0.0441727,
        0.0441757,
        0.0437721,
        0.0440706,
        0.0444391,
        0.0445651,
        0.0440783,
        0.0445846,
        0.0442862,
        0.0446449,
        0.0444328,
        0.0453478,
        0.0469086,
        0.0465578,
        0.0461292,
        0.0458606,
        0.0468767,
        0.0455708,
        0.0455612,
        0.0462371,
        0.0464495,
        0.0472549,
        0.0474168,
        0.0477151,
        0.047412,
        0.0460575,
        0.0464442,
        0.0476179,
        0.0479986,
        0.0478087,
        0.047951,
        0.0470966,
        0.0468174,
        0.0476008,
        0.0474663,
        0.0488136,
        0.0485655,
        0.0481753,
        0.048386,
        0.0478418,
        0.0478772,
        0.0485408,
        0.0495335,
        0.0496345,
        0.0544966,
        0.0552423,
        0.0525109,
        0.0529303,
        0.0562761,
        0.0566435,
        0.0597748,
        0.0625701,
        0.0641839,
        0.0604091,
        0.0609267,
        0.0767767,
        0.0751445,
        0.0636521,
        0.0654021,
        0.0660636,
        0.064362,
        0.062898,
        0.0639924,
        0.0634485,
        0.0621682,
        null,
        0.0368182,
        0.0370914,
        0.0371179,
        0.0372183,
        0.0376207,
        0.0375812,
        0.038078,
        0.0386193,
        0.0386857,
        0.0391676,
        0.0388409,
        0.0375787,
        0.0374489,
        0.039897,
        0.0404686,
        0.037812,
        0.0379516,
        0.0363388,
        0.0370737,
        0.0372428,
        0.0365176,
        0.0361746,
        0.0354911,
        0.0416272,
        0.04238,
        0.0363817,
        0.0361049,
        0.0361164,
        0.0362444,
        0.036189,
        0.0368887,
        0.0368897,
        0.0369154,
        0.0377429,
        0.0408236,
        0.0421587,
        0.0419229,
        0.0448712,
        0.0482938,
        0.0486312,
        0.0483497,
        0.047126,
        0.0453661,
        0.0437724,
        0.0410339,
        0.0389671,
        0.0376804,
        0.0375026,
        0.0377465,
        0.0373618,
        0.0369315,
        0.0364024,
        0.0358052,
        0.0407265,
        0.0418497,
        0.0366467,
        0.0360818,
        0.0364726,
        0.0369673,
        0.036692,
        0.0367352,
        0.0372529,
        0.0365791,
        0.0363749,
        0.0362708,
        0.0360881,
        0.0360636,
        0.0360895,
        0.0365218,
        0.0364934,
        0.0362439,
        0.036634,
        0.036578,
        0.0367926,
        0.037527,
        0.0373198,
        0.036478,
        0.0363228,
        0.0367937,
        0.0390579,
        0.0384561,
        0.0366958,
        0.0369537,
        0.036067,
        0.036376,
        0.0365711,
        0.0365533,
        0.0367581,
        0.0368691,
        0.0374461,
        0.0379302,
        0.0427419,
        0.0409923,
        0.0392172,
        0.040528,
        0.0422992,
        0.0427564,
        0.0457937,
        0.0506386,
        0.0541381,
        0.0604004,
        0.0738307,
        0.0917975,
        0.105373,
        0.127482,
        0.134709,
        0.118753,
        0.107419,
        0.0848372,
        0.0681636,
        0.0623128,
        0.0533987,
        0.0504987,
        0.0469894,
        0.0455334,
        0.0451189,
        0.040646,
        0.0391595,
        0.0384216,
        0.0378469,
        0.0372687,
        0.0361242,
        0.03648,
        0.0364844,
        0.0359507,
        0.036214,
        0.0359208,
        0.0357734,
        0.0352388,
        0.0353603,
        0.0350895,
        0.0351912,
        0.0351948,
        0.0355158,
        0.0345241,
        0.0347682,
        0.0348669,
        0.0347954,
        0.0348812,
        0.0340771,
        0.0345427,
        0.0340969,
        0.0343345,
        0.0340274,
        0.0332833,
        0.0339074,
        0.0335122,
        0.0327151,
        0.0329138,
        0.033522,
        0.0330072,
        0.0326657,
        0.0330398,
        0.0330595,
        0.0326942,
        0.0325082,
        0.0326875,
        0.032234,
        0.0323669,
        0.0324817,
        0.0374712,
        0.0375904,
        0.0324128,
        0.0323031,
        0.0325057,
        0.0330093,
        0.0322714,
        0.0320227,
        0.032691,
        0.0323815,
        0.0325357,
        0.0326272,
        0.0328223,
        0.0332975,
        0.0325983,
        0.03181,
        0.032365,
        0.0332758,
        0.0335488,
        0.0334692,
        0.0331877,
        0.0335682,
        0.0337416,
        0.0338019,
        0.0336476,
        0.0339697,
        0.0337984,
        0.0334942,
        0.0334074,
        0.0333917,
        0.0342225,
        0.0338057,
        0.0332622,
        0.0331065,
        0.0330043,
        0.0328072,
        0.03314,
        0.0331771,
        0.0356672,
        0.0341916,
        0.0329685,
        0.0327762,
        0.032291,
        0.0320764,
        0.0328579,
        0.0336924,
        0.0330563,
        0.0324413,
        0.0319732,
        0.0324906,
        0.0323924,
        0.0324337,
        0.0318691,
        0.032,
        0.0317051,
        0.032292,
        0.0321724,
        0.0327055,
        0.0323861,
        0.0319614,
        0.0316753,
        0.0327463,
        0.0340629,
        0.0321721,
        0.0313292,
        0.0319109,
        0.0322839,
        0.0313225,
        0.0316113,
        0.0360249,
        0.0358376,
        0.0314257,
        0.0317693,
        0.0322449,
        0.032393,
        0.0322904,
        0.0324204,
        0.0315604,
        0.0317128,
        0.0320841,
        0.0319975,
        0.032261,
        0.0323363,
        0.0327028,
        0.0326584,
        0.0333035,
        0.0333499,
        0.0329466,
        0.0332581,
        0.0332545,
        0.0327473,
        0.032721,
        0.0329568,
        0.0326781,
        0.0321722,
        0.0331453,
        0.0331605,
        0.0332401,
        0.0328294,
        0.0332837,
        0.0326734,
        0.0322166,
        0.0323153,
        0.0321905,
        0.0323556,
        0.0325346,
        0.0325878,
        0.0321103,
        0.0321749,
        0.0316346,
        0.0312834,
        0.0314936,
        0.0316225,
        0.0314354,
        0.0312722,
        0.0310661,
        0.0307123,
        0.0314985,
        0.0312371,
        0.031061,
        0.0308936,
        0.0310242,
        0.0310786,
        0.0313773,
        0.0307456,
        0.031473,
        0.0314269,
        0.0313529,
        0.0312588,
        0.0317005,
        0.0320109,
        0.0323159,
        0.0321512,
        0.0321387,
        0.032937,
        0.0329849,
        0.0329886,
        0.0326445,
        0.03237,
        0.0326675,
        0.0327551,
        0.0327698,
        0.0320198,
        0.0324876,
        0.0326441,
        0.0329897,
        0.0327949,
        0.0327734,
        0.0325758,
        0.0323751,
        0.032428,
        0.0378295,
        0.0377063,
        0.0323593,
        0.0318784,
        0.0322138,
        0.0321543,
        0.0317631,
        0.0317339,
        0.032238,
        0.0321988,
        0.0318735,
        0.0321277,
        0.0321703,
        0.03154,
        0.0314386,
        0.0312637,
        0.0317358,
        0.03127,
        0.0312447,
        0.0309655,
        0.0326413,
        0.0328185,
        0.0309278,
        0.0310268,
        0.0305938,
        0.030487,
        0.030188,
        0.0303847,
        0.0305458,
        0.0297706,
        0.0298257,
        0.0304132,
        0.0305004,
        0.0303738,
        0.0302621,
        0.0304919,
        0.0310885,
        0.0309652,
        0.0306984,
        0.0304792,
        0.0302627,
        0.0301839,
        0.0302366,
        0.0306754,
        0.0310652,
        0.0306686,
        0.0307784,
        0.0311016,
        0.0311045,
        0.0328003,
        0.0321119,
        0.032801,
        0.0317615,
        0.0310511,
        0.0317482,
        0.031424,
        0.0314158,
        0.0361619,
        0.0412243,
        0.0371118,
        0.0331087,
        0.0324492,
        0.032945,
        0.0325034,
        0.0323589,
        0.0332031,
        0.0322657,
        0.0325244,
        0.031915,
        0.0317104,
        0.0318683,
        0.0315049,
        0.0315775,
        0.0318734,
        0.0315677,
        0.0310665,
        0.0306377,
        0.0311403,
        0.0306835,
        0.0306219,
        0.0310797,
        0.0305964,
        0.0306003,
        0.0304781,
        0.0304872,
        0.030514,
        0.030256,
        0.0319769,
        0.0310133,
        0.0294906,
        0.029768,
        0.0302874,
        0.0298364,
        0.0297378,
        0.0303823,
        0.0299621,
        0.0298045,
        0.0296303,
        0.0298014,
        0.0301283,
        0.0301746,
        0.0301782,
        0.0301176,
        0.0302164,
        0.0300986,
        0.0297874,
        0.0299441,
        0.0299145,
        0.0302086,
        0.0307549,
        0.0306133,
        0.035904,
        0.0356709,
        0.0305544,
        0.0302076,
        0.0310363,
        0.0307874,
        0.0306036,
        0.0308183,
        0.0307972,
        0.0314872,
        0.0309112,
        0.0308522,
        0.0311165,
        0.0304174,
        0.0310286,
        0.0315632,
        0.0313726,
        0.0313315,
        0.0307332,
        0.0304892,
        0.0312867,
        0.0311887,
        0.0314658,
        0.0312973,
        0.0314246,
        0.0321184,
        0.0317213,
        0.030526,
        0.0312035,
        0.0307459,
        0.031306,
        0.0315368,
        0.0318832,
        0.0329612,
        0.0330008,
        0.0334095,
        0.033579,
        0.033785,
        0.0347763,
        0.035809,
        0.0376563,
        0.0398142,
        0.0410534,
        0.0425556,
        0.043532,
        0.0423436,
        0.0466942,
        0.0447433,
        0.0394261,
        0.0384919,
        0.0368313,
        0.0353399,
        0.0343374,
        0.0339638,
        0.0330829,
        0.0322566,
        0.0320827,
        0.0320212,
        0.0317173,
        0.0313726,
        0.0311382,
        0.0314204,
        0.0317191,
        0.0314438,
        0.0314031,
        0.0308102,
        0.0310619,
        0.0314248,
        0.0314857,
        0.0315757,
        0.0318129,
        0.0313587,
        0.031257,
        0.0316901,
        0.0311983,
        0.0312366,
        0.0319041,
        0.0307588,
        0.0302615,
        0.0308168,
        0.030693,
        0.0307311,
        0.0303106,
        0.0308241,
        0.0306695,
        0.0300111,
        0.0304501,
        0.0299212,
        0.0300093,
        0.0302513,
        0.0304272,
        0.0296631,
        0.0300432,
        0.0297166,
        0.0297386,
        0.0299602,
        0.0297434,
        0.030013,
        0.0297984,
        0.0299432,
        0.0296082,
        0.0294408,
        0.0293604,
        0.0295684,
        0.0293623,
        0.0297923,
        0.0295343,
        0.0291125,
        0.0297797,
        0.0294484,
        0.029616,
        0.0296285,
        0.0296543,
        0.029922,
        0.0303001,
        0.0298193,
        0.0301795,
        0.0301569,
        0.0299429,
        0.0306505,
        0.0298899,
        0.0306737,
        0.0312761,
        0.0306305,
        0.0304564,
        0.0307716,
        0.0304531,
        0.0309442,
        0.03124,
        0.0308585,
        0.0311403,
        0.03156,
        0.0314544,
        0.0314702,
        0.0318096,
        0.0323287,
        0.0325151,
        0.0327183,
        0.0330221,
        0.0327131,
        0.0332815,
        0.0328587,
        0.03388,
        0.0336498,
        0.0336801,
        0.0340331,
        0.0348384,
        0.0339804,
        0.0336645,
        0.0338214,
        0.0334476,
        0.0337101,
        0.0334361,
        0.0334827,
        0.0337094,
        0.0332119,
        0.0329279,
        0.033383,
        0.0332238,
        0.0342073,
        0.0341634,
        0.0337981,
        0.0356778,
        0.036265,
        0.0355935,
        0.0343993,
        0.0346263,
        0.0351223,
        0.0351326,
        0.0347498,
        0.0355702,
        0.0355025,
        0.0352155,
        0.0367893,
        0.036107,
        0.0365748,
        0.0374454,
        0.0378978,
        0.0377112,
        0.0383971,
        0.0390526,
        0.0401027,
        0.0403203,
        0.0410383,
        0.0419653,
        0.042608,
        0.0457082,
        0.046599,
        0.0471041,
        0.0479949,
        0.050631,
        0.0524644,
        0.0520046,
        0.056028,
        0.0595427,
        0.060939,
        0.0659273,
        0.0703882,
        0.0757898,
        0.0822134,
        0.0922183,
        0.118816,
        0.136382,
        0.130761,
        0.149787,
        0.182922,
        0.229103,
        0.198265,
        0.167994,
        0.14021,
        0.125223,
        0.105585,
        0.0977473,
        0.086084,
        0.0820907,
        0.0789979,
        0.0705942,
        0.0672523,
        0.0619908,
        0.0603821,
        0.0561578,
        0.0540358,
        0.0521578,
        0.0507894,
        0.0485972,
        0.0478916,
        0.045721,
        0.0448607,
        0.0430041,
        0.0428958,
        0.0420508,
        0.0409153,
        0.0404966,
        0.0408234,
        0.0403516,
        0.0397338,
        0.0387158,
        0.0379721,
        0.0370333,
        0.037751,
        0.0369674,
        0.0373308,
        0.0371017,
        0.0367735,
        0.037039,
        0.0358103,
        0.0414032,
        0.0408269,
        0.035334,
        0.0354451,
        0.0352321,
        0.0345974,
        0.0346238,
        0.0343752,
        0.0349771,
        0.0348769,
        0.0348626,
        0.03433,
        0.0339656,
        0.0343316,
        0.0332911,
        0.0330701,
        0.0322881,
        0.0328212,
        0.0325436,
        0.0324565,
        0.0326138,
        0.032697,
        0.0326956,
        0.0321719,
        0.0330171,
        0.032473,
        0.0314415,
        0.0309052,
        0.035903,
        0.0368515,
        0.0309767,
        0.0311487,
        0.030839,
        0.0311568,
        0.030778,
        0.0304969,
        0.0306547,
        0.0307353,
        0.0306713,
        0.0308553,
        0.0311543,
        0.0309626,
        0.0308136,
        0.0308127,
        0.0306682,
        0.0308678,
        0.0304121,
        0.0302001,
        0.0304149,
        0.0306738,
        0.031035,
        0.0313474,
        0.0310924,
        0.0310913,
        0.0324512,
        0.0334369,
        0.0332328,
        0.0329692,
        0.0339019,
        0.032539,
        0.0312965,
        0.0309241,
        0.030594,
        0.0300857,
        0.0302924,
        0.0304702,
        0.0311506,
        0.0310547,
        0.03102,
        0.0307636,
        0.0307082,
        0.0305466,
        0.0306609,
        0.0305222,
        0.0312595,
        0.0317982,
        0.0311741,
        0.0313115,
        0.0314609,
        0.0312842,
        0.0337031,
        0.0333629,
        0.0317964,
        0.0318767,
        0.0314353,
        0.0313067,
        0.0311404,
        0.0308794,
        0.030264,
        0.029764,
        0.0300385,
        0.030258,
        0.029968,
        0.0291449,
        0.0293372,
        0.0294162,
        0.0291398,
        0.0293064,
        0.0292035,
        0.0290655,
        0.0287025,
        0.0290394,
        0.0285681,
        0.0284268,
        0.0285922,
        0.0282263,
        0.0287012,
        0.028662,
        0.0288062,
        0.0285103,
        0.0280705,
        0.0281891,
        0.028344,
        0.0290915,
        0.0340725,
        0.0345706,
        0.0292283,
        0.0295547,
        0.0292305,
        0.0294235,
        0.0294672,
        0.0285819,
        0.0289407,
        0.0300676,
        0.0302666,
        0.029634,
        0.0304556,
        0.0304687,
        0.0297794,
        0.0298993,
        0.0303036,
        0.0300413,
        0.0296932,
        0.0295565,
        0.0294563,
        0.0301446,
        0.0305891,
        0.0300053,
        0.0305132,
        0.0305148,
        0.0300124,
        0.0301514,
        0.0310233,
        0.0317046,
        0.0318674,
        0.0317219,
        0.0319056,
        0.0319619,
        0.0310648,
        0.0307618,
        0.0300242,
        0.0298311,
        0.0298701,
        0.029322,
        0.0302424,
        0.0296577,
        0.0294297,
        0.0294431,
        0.0302115,
        0.029829,
        0.0295593,
        0.0290909,
        0.0293191,
        0.0294021,
        0.0291907,
        0.029698,
        0.0293672,
        0.0295311,
        0.0302946,
        0.0299998,
        0.0291804,
        0.0296246,
        0.0292712,
        0.0292969,
        0.0306256,
        0.0292937,
        0.0289808,
        0.0293659,
        0.0298079,
        0.0294469,
        0.0291862,
        0.0295512,
        0.0294028,
        0.0293556,
        0.0294632,
        0.0299642,
        0.0301151,
        0.0296713,
        0.0302848,
        0.0306194,
        0.0306683,
        0.0304514,
        0.0305935,
        0.030903,
        0.0311587,
        0.0305143,
        0.0307521,
        0.0309371,
        0.0312851,
        0.0310738,
        0.0313485,
        0.0309504,
        0.0313829,
        0.0315768,
        0.0315893,
        0.0317463,
        0.0320563,
        0.0312691,
        0.0313223,
        0.0317046,
        0.0311468,
        0.0320434,
        0.0321392,
        0.031555,
        0.0314426,
        0.0311847,
        0.0310081,
        0.0310038,
        0.0304307,
        0.0301749,
        0.0301029,
        0.0302839,
        0.0299813,
        0.0299054,
        0.0303394,
        0.0304709,
        0.0304462,
        0.0298936,
        0.0298873,
        0.030144,
        0.0303904,
        0.0306458,
        0.0304044,
        0.0300206,
        0.0299678,
        0.0303961,
        0.0300718,
        0.0301535,
        0.0303846,
        0.0300361,
        0.030127,
        0.03055,
        0.0298579,
        0.0301362,
        0.0300218,
        0.030272,
        0.0303456,
        0.0313498,
        0.031226,
        0.0310959,
        0.0304294,
        0.0308028,
        0.0304115,
        0.0310012,
        0.0311517,
        0.0314199,
        0.0310928,
        0.0312396,
        0.032152,
        0.0309737,
        0.0310617,
        0.0313239,
        0.0314938,
        0.0314747,
        0.0320283,
        0.0352893,
        0.0352805,
        0.0322285,
        0.0321607,
        0.035686,
        0.0357278,
        0.0318513,
        0.032019,
        0.0321395,
        0.0324204,
        0.0326302,
        0.0323684,
        0.031935,
        0.0326446,
        0.0326623,
        0.0333539,
        0.0347002,
        0.0338427,
        0.034113,
        0.0342004,
        0.0338392,
        0.0334578,
        0.0325214,
        0.0313981,
        0.0316893,
        0.0318434,
        0.0315457,
        0.030571,
        0.0312345,
        0.0311209,
        0.031088,
        0.030524,
        0.0309459,
        0.0306738,
        0.030545,
        0.0307691,
        0.0302106,
        0.0303724,
        0.0307633,
        0.031007,
        0.0308543,
        0.0309322,
        0.0313006,
        0.031322,
        0.0317315,
        0.0311483,
        0.0315178,
        0.0313356,
        0.03058,
        0.0311333,
        0.0313818,
        0.0316436,
        0.0318059,
        0.0315765,
        0.0316381,
        0.030774,
        0.0316498,
        0.0318198,
        0.0322266,
        0.0324524,
        0.0322227,
        0.0322901,
        0.032948,
        0.0323842,
        0.0314859,
        0.0318105,
        0.0325954,
        0.0327294,
        0.0330597,
        0.0337101,
        0.0345545,
        0.0325996,
        0.0327857,
        0.0322992,
        0.0324035,
        0.0326219,
        0.0322131,
        0.0323495,
        0.0323214,
        0.0322035,
        0.0338398,
        0.0334155,
        0.0322265,
        0.0336248,
        0.0336924,
        0.0316256,
        0.0324763,
        0.0323837,
        0.0322471,
        0.0322317,
        0.0317417,
        0.0318763,
        0.0308547,
        0.0303827,
        0.0316245,
        0.031386,
        0.0310207,
        0.0306957,
        0.0310914,
        0.0308111,
        0.0348398,
        0.0340641,
        0.031033,
        0.0309347,
        0.0312187,
        0.030741,
        0.0316344,
        0.0310062,
        0.0339564,
        0.035048,
        0.0317684,
        0.031231,
        0.0311796,
        0.0312547,
        0.0311264,
        0.0315956,
        0.0318671,
        0.0316148,
        0.0311305,
        0.0316462,
        0.0318156,
        0.0319195,
        0.0317921,
        0.0324403,
        0.0331898,
        0.0331862,
        0.034341,
        0.033159,
        0.0362034,
        0.0361797,
        0.0334517,
        0.0352166,
        0.0346941,
        0.0371636,
        0.0375472,
        0.0324142,
        0.0324538,
        0.0327487,
        0.0328639,
        0.0327455,
        0.0331512,
        0.0327303,
        0.0330177,
        0.0326998,
        0.0317974,
        0.0323485,
        0.0330413,
        0.0318501,
        0.0311756,
        0.0319863,
        0.0371557,
        0.0371898,
        0.0322317,
        0.0319399,
        0.0317533,
        0.0321114,
        0.0313394,
        0.0315037,
        0.031277,
        0.0314353,
        0.0312866,
        0.032613,
        0.031248,
        0.0308108,
        0.0310751,
        0.0307522,
        0.0309841,
        0.0308735,
        0.0329455,
        0.0328282,
        0.0308283,
        0.0312069,
        0.0309404,
        0.031,
        0.0303765,
        0.0303476,
        0.0313339,
        0.0315083,
        0.0308437,
        0.031457,
        0.0310097,
        0.0311186,
        0.0310904,
        0.0312923,
        0.0309766,
        0.0311497,
        0.0319027,
        0.0317628,
        0.0308896,
        0.0312427,
        0.0310116,
        0.0316936,
        0.0315554,
        0.0320232,
        0.031911,
        0.0322386,
        0.0359627,
        0.0361208,
        0.0327621,
        0.0326117,
        0.0330139,
        0.0329383,
        0.032832,
        0.0328671,
        0.0333042,
        0.0329058,
        0.0349048,
        0.0345985,
        0.0327623,
        0.0326576,
        0.0330028,
        0.0335061,
        0.0336962,
        0.0334402,
        0.0339505,
        0.0334875,
        0.0335956,
        0.0345053,
        0.0345386,
        0.0347111,
        0.0345889,
        0.0348846,
        0.0352149,
        0.0352814,
        0.0338266,
        0.0338894,
        0.0334328,
        0.0330347,
        0.0326444,
        0.0325834,
        0.0332316,
        0.0321927,
        0.0313436,
        0.031907,
        0.0312892,
        0.0315848,
        0.031619,
        0.0316264,
        0.0319946,
        0.0321224,
        0.0317301,
        0.0311863,
        0.0314954,
        0.0314986,
        0.0314584,
        0.0374702,
        0.0376328,
        0.0317054,
        0.0314849,
        0.0314351,
        0.0316005,
        0.0321773,
        0.0322088,
        0.0320657,
        0.0324527,
        0.0321578,
        0.0334576,
        0.0345312,
        0.0330884,
        0.0328873,
        0.0324733,
        0.0333238,
        0.0336334,
        0.0334712,
        0.0330308,
        0.0328604,
        0.0332621,
        0.0336464,
        0.0330506,
        0.0334046,
        0.0336723,
        0.0337724,
        0.034195,
        0.0334786,
        0.0330951,
        0.0332108,
        0.0332651,
        0.0338918,
        0.0339438,
        0.0335076,
        0.0338526,
        0.0347466,
        0.0337119,
        0.0333574,
        0.0334579,
        0.0333965,
        0.0328017,
        0.0330281,
        0.0331323,
        0.0332071,
        0.0332633,
        0.0326045,
        0.0329384,
        0.0323928,
        0.0322358,
        0.0329126,
        0.0327715,
        0.0322263,
        0.0327163,
        0.0323864,
        0.0322045,
        0.0325202,
        0.0327143,
        0.0325597,
        0.0326413,
        0.0333396,
        0.0329608,
        0.0376183,
        0.0371221,
        0.0328702,
        0.0329161,
        0.0337385,
        0.0336724,
        0.0331275,
        0.0335893,
        0.0343228,
        0.0332058,
        0.0339475,
        0.0336061,
        0.0335337,
        0.0333542,
        0.034222,
        0.0348166,
        0.0348367,
        0.0348458,
        0.0342827,
        0.0342801,
        0.0346838,
        0.0352196,
        0.0350336,
        0.0341979,
        0.0347531,
        0.0348104,
        0.0353401,
        0.0352039,
        0.034804,
        0.0430506,
        0.0426206,
        0.0359296,
        0.0368743,
        0.0383187,
        0.0371073,
        0.0355174,
        0.0359132,
        0.040965,
        0.0393934,
        0.0353831,
        0.0354907,
        0.0347735,
        0.0350291,
        0.0356028,
        0.0350156,
        0.0353183,
        0.0349184,
        0.0356539,
        0.0352033,
        0.0350252,
        0.035466,
        0.0355028,
        0.0351268,
        0.0351343,
        0.0346991,
        0.034513,
        0.0348972,
        0.0346413,
        0.0353277,
        0.0358005,
        0.0359875,
        0.0356097,
        0.0350578,
        0.0338954,
        0.0338138,
        0.0342053,
        0.0353795,
        0.0350128,
        0.0343538,
        0.0350988,
        0.0347044,
        0.0355314,
        0.0354777,
        0.0359229,
        0.0356415,
        0.0357776,
        0.0349625,
        0.0356109,
        0.0361046,
        0.0362501,
        0.0357915,
        0.0360175,
        0.0358472,
        0.0364964,
        0.0363019,
        0.0361225,
        0.0383662,
        0.0384525,
        0.0382276,
        0.0382824,
        0.0374681,
        0.0367167,
        0.0370916,
        0.0375206,
        0.0379712,
        0.0390245,
        0.0392215,
        0.0379172,
        0.0391394,
        0.0390325,
        0.0386369,
        0.0383957,
        0.0403283,
        0.0395559,
        0.0392881,
        0.0395355,
        0.0390103,
        0.0399612,
        0.0410526,
        0.0413298,
        0.0422758,
        0.0430683,
        0.0443484,
        0.0451293,
        0.0455137,
        0.046181,
        0.0473799,
        0.0484317,
        0.0512808,
        0.0508521,
        0.0465966,
        0.0466649,
        0.0446423,
        0.0435946,
        0.0431128,
        0.0424398,
        0.0414869,
        0.0399569,
        0.0398461,
        0.0402062,
        0.0395194,
        0.0390048,
        0.0390311,
        0.0388795,
        0.0388088,
        0.0374844,
        0.0381176,
        0.0383777,
        0.0386851,
        0.0390538,
        0.0383505,
        0.0378159,
        0.038758,
        0.0392671,
        0.0391455,
        0.0388368,
        0.0398865,
        0.0415874,
        0.0409206,
        0.0398917,
        0.0401796,
        0.0418914,
        0.0418947,
        0.042793,
        0.0423754,
        0.040787,
        0.0403109,
        0.0411043,
        0.0415703,
        0.0403587,
        0.0415935,
        0.0425205,
        0.0428726,
        0.0425152,
        0.0425374,
        0.042599,
        0.0424499,
        0.0431499,
        0.043797,
        0.0433273,
        0.043369,
        0.0440661,
        0.0488848,
        0.0489816,
        0.0448458,
        0.0455224,
        0.0455897,
        0.0446325,
        0.044371,
        0.0438196,
        0.0447928,
        0.0447428,
        0.0443027,
        0.0435363,
        0.0433368,
        0.0426345,
        0.0425543,
        0.0428036,
        0.0429867,
        0.0417721,
        0.0414929,
        0.0407307,
        0.0410626,
        0.0417432,
        0.0425809,
        0.0422465,
        0.0425742,
        0.0432172,
        0.0428204,
        0.0426428,
        0.0431738,
        0.0435002,
        0.0428655,
        0.0421096,
        0.0437159,
        0.0431471,
        0.0441649,
        0.0447542,
        0.0447009,
        0.0457081,
        0.0442256,
        0.0434576,
        0.043299,
        0.0446531,
        0.0442182,
        0.0442377,
        0.0448428,
        0.045572,
        0.045747,
        0.0441846,
        0.0448383,
        0.045386,
        0.0516483,
        0.0507424,
        0.0539596,
        0.0565645,
        0.0474113,
        0.0486452,
        0.0493348,
        0.0496014,
        0.049883,
        0.0505356,
        0.049584,
        0.05738,
        0.0556637,
        0.0483863,
        0.0502392,
        0.0505116,
        0.0515548,
        0.0545196,
        0.0502011,
        0.0509524,
        0.0512303,
        0.0536273,
        0.0574196,
        0.0576441,
        0.0536291,
        0.0508222,
        0.0496962,
        0.0504376,
        0.0536282,
        0.0510514,
        0.0491184,
        0.0484797,
        0.0493946,
        0.0502098,
        0.0504148,
        0.0489826,
        0.0485258,
        0.0489356,
        0.0482405,
        0.0481894,
        0.0487885,
        0.0493569,
        0.0501014,
        0.050809,
        0.0493139,
        0.0504039,
        0.0603,
        0.0616619,
        0.0493377,
        0.0492352,
        0.0501701,
        0.0491422,
        0.0486483,
        0.054145,
        0.0523911,
        0.0499307,
        0.0517065,
        0.0520738,
        0.0523309,
        0.0516176,
        0.0513217,
        0.0526028,
        0.0523374,
        0.058515,
        0.0594013,
        0.0524603,
        0.0528275,
        0.053751,
        0.0530632,
        0.0528576,
        0.0533463,
        0.0538432,
        0.0554141,
        0.0563433,
        0.0566366,
        0.056281,
        0.0577493,
        0.0583111,
        0.0582953,
        0.0574896,
        0.0584693,
        0.0570793,
        0.0582149,
        0.061114,
        0.0595818,
        0.0594116,
        0.0594828,
        0.057981,
        0.0591361,
        0.0603104,
        0.0615231,
        0.0613147,
        0.060306,
        0.0609218,
        0.0608555,
        0.0620965,
        0.0616657,
        0.0613144,
        0.0632084,
        0.0694065,
        0.0706784,
        0.0623931,
        0.065675,
        0.0700307,
        0.0731503,
        0.0649488,
        0.0667073,
        0.0681503,
        0.0706533,
        0.0716453,
        0.073542,
        0.0732218,
        0.0881418,
        0.0861817,
        0.0708102,
        0.0702309,
        0.0694841,
        0.0710818,
        0.0752671,
        0.0807277,
        0.0732152,
        0.0735508,
        0.0724797,
        0.0743514,
        0.0919197,
        0.0862931,
        0.0893444,
        0.0770468,
        0.0791646,
        0.0778424,
        0.0752458,
        0.0762129,
        0.0783342,
        0.0815661,
        0.0776846,
        0.082323,
        0.0837665,
        0.0832736,
        0.0828707,
        0.0830707,
        0.0848033,
        0.0893533,
        0.0876784,
        0.0900776,
        0.0930865,
        0.0916921,
        0.106043,
        0.110202,
        0.0968676,
        0.0988498,
        0.102892,
        0.102352,
        0.10265,
        0.104882,
        0.107452,
        0.108394,
        0.112387,
        0.118433,
        0.13366,
        0.136116,
        0.137876,
        0.140425,
        0.143165,
        0.151665,
        0.150037,
        0.134522,
        0.138273,
        0.127281,
        0.131285,
        0.131774,
        0.128982,
        0.127826,
        0.124097,
        0.135442,
        0.141999,
        0.135407,
        0.141858,
        0.149635,
        0.146351,
        0.141319,
        0.145474,
        0.150906,
        0.172886,
        0.165189,
        0.181179,
        0.18566,
        0.187037,
        0.187993,
        0.17799,
        0.189527,
        0.225586,
        0.204423,
        0.262008,
        0.279675,
        0.244512,
        0.228702,
        null,
        0.268953,
        0.217287,
        0.21987,
        0.224941,
        0.262843,
        0.198448,
        0.199754,
        0.197129,
        0.21558,
        0.229343,
        0.217364,
        0.206083,
        0.199109,
        0.214031,
        0.205152,
        0.20581,
        0.214757,
        0.21803,
        0.212401,
        0.203434,
        0.212446,
        0.206067,
        0.199668,
        0.209416,
        0.204361,
        0.225839,
        0.253538,
        0.2524,
        0.24399,
        0.245716,
        0.336093,
        0.311756,
        null,
        0.361751,
        0.263378,
        0.242617,
        0.230349,
        0.247291,
        0.218191,
        0.197427,
        0.188693,
        0.192515,
        0.184552,
        0.191142,
        0.174125,
        0.159293,
        0.166322,
        0.153898,
        0.147371,
        0.147411,
        0.146479,
        0.132679,
        0.143888,
        0.128968,
        0.129963,
        0.131307,
        0.124377,
        0.120939,
        0.120609,
        0.133347,
        0.119177,
        0.120397,
        0.120941,
        0.110493,
        0.107686,
        0.110438,
        0.110011,
        0.105094,
        0.100478,
        0.101435,
        0.103266,
        0.106536,
        0.108965,
        0.104052,
        0.102303,
        0.103054,
        0.10065,
        0.102389,
        0.101699,
        0.0992939,
        0.0977456,
        0.0944591,
        0.091945,
        0.0939854,
        0.0936432,
        0.0960292,
        0.0929993,
        0.0933408,
        0.087695,
        0.0991367,
        0.0975943,
        0.0941798,
        0.0904731,
        0.0845212,
        0.0831998,
        0.0868931,
        0.0859444,
        0.0867588,
        0.0869903,
        0.0871151,
        0.0818894,
        0.0823597,
        0.080358,
        0.0831949,
        0.0826209,
        0.0830268,
        0.0805488,
        0.0769611,
        0.0769914,
        0.0763033,
        0.0786437,
        0.0808865,
        0.0788212,
        0.0765165,
        0.0766133,
        0.0784905,
        0.0770159,
        0.0781973,
        0.0810005,
        0.0826407,
        0.0862316,
        0.0879816,
        0.0867699,
        0.0862306,
        0.0834416,
        0.0820298,
        0.0773747,
        0.0779816,
        null,
        0.0444102,
        0.0444844,
        0.0449948,
        0.0450523,
        0.0449339,
        0.0451658,
        0.0461784,
        0.04504,
        0.04524,
        0.0443943,
        0.0445522,
        0.0450287,
        0.0457365,
        0.046234,
        0.0467289,
        0.0466334,
        0.0465761,
        0.047299,
        0.0461894,
        0.0457357,
        0.0459789,
        0.0457272,
        0.04581,
        0.0460054,
        0.0461131,
        0.0471285,
        0.0470405,
        0.047269,
        0.0497447,
        0.0509031,
        0.0635242,
        0.0665654,
        0.0548159,
        0.0574301,
        0.0585383,
        0.058882,
        0.0579329,
        0.0563152,
        0.0537361,
        0.0542056,
        0.0546769,
        0.0559405,
        0.0582601,
        0.0594737,
        0.059725,
        0.0600474,
        0.0610111,
        0.0617934,
        0.0585301,
        0.0575404,
        0.0572486,
        0.0561337,
        0.0532739,
        0.0538354,
        0.0603063,
        0.0609569,
        0.0538131,
        0.0541474,
        0.0544182,
        0.0543285,
        0.0547663,
        0.0564126,
        0.0550189,
        0.054563,
        0.0560529,
        0.0556673,
        0.0558917,
        0.0542107,
        0.0554416,
        0.0563466,
        0.0575492,
        0.0585866,
        0.0580813,
        0.0580901,
        0.0602312,
        0.0593969,
        0.05979,
        0.0613879,
        0.0603196,
        0.0611123,
        0.0635723,
        0.0629863,
        0.062543,
        0.0649327,
        0.0642205,
        0.0654793,
        0.0691936,
        0.0710338,
        0.0702932,
        0.0806795,
        0.0837493,
        0.0935319,
        0.0982663,
        0.0780564,
        0.0829865,
        0.0854192,
        0.0999474,
        0.102259,
        0.0977148,
        0.101708,
        0.104069,
        0.110937,
        0.116038,
        0.139998,
        0.148742,
        0.140989,
        0.149673,
        0.161399,
        0.189769,
        0.197836,
        0.203782,
        0.267196,
        0.231051,
        0.201367,
        0.178393,
        0.180322,
        0.155479,
        0.143502,
        0.140187,
        0.124915,
        0.122477,
        0.113578,
        0.111538,
        0.102691,
        0.0988988,
        0.0963186,
        0.0921362,
        0.0895056,
        0.0923577,
        0.0917722,
        0.0872268,
        0.0860156,
        0.0799696,
        0.0776499,
        0.0772859,
        0.0770715,
        0.072795,
        0.0735275,
        0.0711471,
        0.0753842,
        0.0822538,
        0.078817,
        0.0723306,
        0.0733951,
        0.0702741,
        0.0700212,
        0.0675642,
        0.0656406,
        0.0677611,
        0.0662163,
        0.0641717,
        0.0625592,
        0.0603294,
        0.0570379,
        0.0577433,
        0.0565775,
        0.0545151,
        0.0534675,
        0.05302,
        0.0525954,
        0.051968,
        0.0514528,
        0.0504474,
        0.0499628,
        0.0491143,
        0.0485428,
        0.0471841,
        0.0470384,
        0.047078,
        0.0467752,
        0.0468123,
        0.0470087,
        0.0462104,
        0.0470315,
        0.0466248,
        0.0465549,
        0.0475061,
        0.0486268,
        0.0498403,
        0.0520044,
        0.0538713,
        0.0554829,
        0.0567739,
        0.0570993,
        0.0540256,
        0.0515619,
        0.0497947,
        0.0495702,
        0.0587194,
        0.0562712,
        0.0445101,
        0.0445696,
        0.0447965,
        0.0440222,
        0.0431629,
        0.0431402,
        0.043975,
        0.0436964,
        0.0426796,
        0.0432905,
        0.0442818,
        0.0427505,
        0.0415937,
        0.0410713,
        0.0408769,
        0.0416764,
        0.0416402,
        0.0414042,
        0.0413656,
        0.0407373,
        0.0409559,
        0.0413408,
        0.0408399,
        0.0403768,
        0.0400694,
        0.0402648,
        0.0402235,
        0.0398014,
        0.0453372,
        0.0445595,
        0.0392824,
        0.038907,
        0.0390159,
        0.0386726,
        0.038105,
        0.0386133,
        0.0389941,
        0.0380304,
        0.0380659,
        0.0386816,
        0.0386674,
        0.0384775,
        0.0382564,
        0.0380066,
        0.0376167,
        0.0376425,
        0.0379915,
        0.0380215,
        0.0382027,
        0.039003,
        0.0374795,
        0.0394343,
        0.0410276,
        0.0384814,
        0.0386273,
        0.0398346,
        0.0389281,
        0.0390828,
        0.0392869,
        0.0401171,
        0.040211,
        0.0405659,
        0.0402328,
        0.0392588,
        0.040159,
        0.0408707,
        0.0406714,
        0.0410594,
        0.0419072,
        0.0417267,
        0.042324,
        0.0434407,
        0.0438277,
        0.0442793,
        0.0456634,
        0.0468797,
        0.0484856,
        0.0491338,
        0.0517889,
        0.0532068,
        0.0551109,
        0.0568701,
        0.0566289,
        0.056769,
        0.0541562,
        0.050512,
        0.0499998,
        0.0475937,
        0.0460023,
        0.044783,
        0.0438919,
        0.0424051,
        0.0417253,
        0.0415236,
        0.040347,
        0.039668,
        0.0397211,
        0.0390356,
        0.0395057,
        0.038139,
        0.0383739,
        0.0385009,
        0.0371054,
        0.0370128,
        0.0372004,
        0.036798,
        0.0371596,
        0.0360045,
        0.036315,
        0.0361923,
        0.0356174,
        0.0358954,
        0.0375074,
        0.0380862,
        0.0366945,
        0.0365909,
        0.0361767,
        0.036318,
        0.0365104,
        0.0366381,
        0.0367668,
        0.0370794,
        0.0420497,
        0.0434372,
        0.0363337,
        0.0371765,
        0.0385243,
        0.0383653,
        0.0368061,
        0.0366293,
        0.0379161,
        0.0376347,
        0.0373739,
        0.0367231,
        0.0373534,
        0.0368271,
        0.0364741,
        0.037598,
        0.0372776,
        0.0372554,
        0.0376243,
        0.0369994,
        0.0365187,
        0.0360664,
        0.0364545,
        0.0368334,
        0.0365854,
        0.0366906,
        0.0360284,
        0.0365273,
        0.0374694,
        0.0364159,
        0.0358355,
        0.0362148,
        0.0359249,
        0.0368498,
        0.0361269,
        0.0361511,
        0.0360351,
        0.0355496,
        0.0352598,
        0.0351951,
        0.0342392,
        0.0354579,
        0.0351948,
        0.034867,
        0.0349069,
        0.035253,
        0.0360714,
        0.0361349,
        0.0353612,
        0.0352827,
        0.0350089,
        0.0363635,
        0.0358606,
        0.0371468,
        0.0379831,
        0.0386976,
        0.0401906,
        0.042502,
        0.0452221,
        0.0472412,
        0.0475644,
        0.0472884,
        0.0450973,
        0.0431835,
        0.0415685,
        0.0409267,
        0.0399971,
        0.0393176,
        0.038705,
        0.0375716,
        0.0377974,
        0.0377021,
        0.0369178,
        0.03961,
        0.0378293,
        0.0376314,
        0.0372699,
        0.0367224,
        0.0372168,
        0.0369637,
        0.0366845,
        0.0364526,
        0.0371496,
        0.0365788,
        0.0369991,
        0.0367215,
        0.0370465,
        0.0375476,
        0.0359972,
        0.0360542,
        0.0354065,
        0.035366,
        0.0366092,
        0.0366693,
        0.0379303,
        0.0416198,
        0.0398799,
        0.0360496,
        0.0358098,
        0.035339,
        0.0351275,
        0.0349305,
        0.0351704,
        0.0348236,
        0.0349189,
        0.0353554,
        0.0351759,
        0.0350518,
        0.0351451,
        0.0353015,
        0.0350191,
        0.0345483,
        0.0350853,
        0.0350011,
        0.0347207,
        0.034407,
        0.0350507,
        0.035018,
        0.0344875,
        0.0346431,
        0.0348405,
        0.0355391,
        0.0353793,
        0.0349439,
        0.0358403,
        0.0366422,
        0.0359935,
        0.036494,
        0.0364746,
        0.036959,
        0.0368571,
        0.0363127,
        0.0356796,
        0.0365856,
        0.0366562,
        0.0368989,
        0.0376232,
        0.0376871,
        0.0377972,
        0.0380418,
        0.0382023,
        0.038554,
        0.0385557,
        0.0383585,
        0.0384051,
        0.0374981,
        0.0412167,
        0.0391279,
        0.0381697,
        0.0377646,
        0.0378239,
        0.0371789,
        0.0372425,
        0.0372788,
        0.0371442,
        0.0374239,
        0.0374089,
        0.0381512,
        0.0389003,
        0.0376588,
        0.0372402,
        0.0366102,
        0.0382452,
        0.0387049,
        0.0387426,
        0.0378586,
        0.0386901,
        0.039402,
        0.0394087,
        0.0392276,
        0.0404078,
        0.0415034,
        0.0417086,
        0.0418917,
        0.0414557,
        0.0438715,
        0.0462902,
        0.0483309,
        0.0490429,
        0.0528793,
        0.0545251,
        0.0562902,
        0.0599402,
        0.0648566,
        0.0736361,
        0.0827659,
        0.0973891,
        0.11235,
        0.147485,
        0.197531,
        0.196323,
        0.244892,
        0.233007,
        0.190031,
        0.153094,
        0.132577,
        0.12023,
        0.0944762,
        0.0850647,
        0.09225,
        0.0777018,
        0.0657684,
        0.0597145,
        0.0571462,
        0.0551078,
        0.0583524,
        0.0579379,
        0.0499199,
        0.0473756,
        0.0462682,
        0.0449303,
        0.0438464,
        0.0435057,
        0.0444195,
        0.0428667,
        0.0422278,
        0.0488218,
        0.0482065,
        0.0406964,
        0.0409552,
        0.0402445,
        0.0382285,
        0.0383075,
        0.0389028,
        0.0391039,
        0.039273,
        0.0388385,
        0.0379176,
        0.0394565,
        0.0380395,
        0.0376151,
        0.0370977,
        0.037546,
        0.0379995,
        0.0377886,
        0.0372919,
        0.0378665,
        0.0384871,
        0.0388913,
        0.0386812,
        0.0393249,
        0.0385751,
        0.0417741,
        0.0433871,
        0.042977,
        0.0425362,
        0.0440695,
        0.0446702,
        0.0516327,
        0.0538457,
        0.0524151,
        0.0538937,
        0.0546943,
        0.0574106,
        0.0503438,
        0.0491146,
        0.0505497,
        0.0506975,
        0.0526507,
        0.0534943,
        0.055438,
        0.0598087,
        0.0653496,
        0.0669952,
        0.0744283,
        0.0792933,
        0.0917604,
        0.101483,
        0.0984327,
        0.084344,
        0.0766273,
        0.0670357,
        0.0603778,
        0.0555032,
        0.0525763,
        0.0506757,
        0.0483692,
        0.0465845,
        0.0458812,
        0.0451558,
        0.0432809,
        0.0424552,
        0.0424765,
        0.0421032,
        0.0423221,
        0.0416209,
        0.0427414,
        0.0438114,
        0.0417456,
        0.0419775,
        0.0419383,
        0.0422407,
        0.0422649,
        0.0412945,
        0.0414104,
        0.0448156,
        0.0474575,
        0.0418359,
        0.0418802,
        0.0421128,
        0.0407149,
        0.0409578,
        0.0413208,
        0.0412041,
        0.0411443,
        0.0413872,
        0.0410128,
        0.0405648,
        0.0413309,
        0.0421913,
        0.0440388,
        0.0460328,
        0.0475667,
        0.0473417,
        0.0496919,
        0.0485718,
        0.0474847,
        0.0483476,
        0.0479592,
        0.056446,
        0.0601299,
        0.0543062,
        0.0538827,
        0.0517954,
        0.0519007,
        0.0496475,
        0.0490905,
        0.0503699,
        0.0502524,
        0.0499648,
        0.0526849,
        0.0523356,
        0.0520544,
        0.0538981,
        0.0546229,
        0.056667,
        0.0570949,
        0.0599428,
        0.0586056,
        0.0616481,
        0.0679897,
        0.0738057,
        0.0691761,
        0.0734698,
        0.0743859,
        0.0803516,
        0.0896411,
        0.0896692,
        0.0999594,
        0.112864,
        0.129561,
        0.146044,
        0.151379,
        0.181463,
        0.238728,
        0.28211,
        0.321567,
        0.23693,
        0.207775,
        0.163992,
        0.12953,
        0.125853,
        0.117434,
        0.10839,
        0.104567,
        0.0954212,
        0.0861299,
        0.0823517,
        0.0789037,
        0.0723254,
        0.0733851,
        0.067375,
        0.0684872,
        0.0638335,
        0.0646245,
        0.0603507,
        0.0600937,
        0.0597635,
        0.0619794,
        0.0586835,
        0.0544622,
        0.0536176,
        0.0545415,
        0.0609128,
        0.0611053,
        0.0530158,
        0.0522129,
        0.0520946,
        0.0515085,
        0.0506868,
        0.0513681,
        0.0513404,
        0.0532187,
        0.0518264,
        0.0514726,
        0.0509988,
        0.0503655,
        0.0508914,
        0.0503989,
        0.0497402,
        0.0507991,
        0.0512019,
        0.0502108,
        0.0509898,
        0.052924,
        0.0548225,
        0.0573154,
        0.0581,
        0.0581488,
        0.0611033,
        0.0614558,
        0.0622002,
        0.0618456,
        0.0597823,
        0.0589612,
        0.0573151,
        0.0564929,
        0.0542972,
        0.0546276,
        0.0556109,
        0.0569246,
        0.0554214,
        0.0537144,
        0.0539724,
        0.0541344,
        0.0551517,
        0.0579278,
        0.0585748,
        0.0581172,
        0.0583998,
        0.0610746,
        0.0627194,
        0.0661112,
        0.0689826,
        0.0712532,
        0.0852926,
        0.079196,
        0.0711834,
        0.0701681,
        0.0685361,
        0.0698817,
        0.0674237,
        0.0691781,
        0.0708395,
        0.0718582,
        0.0718298,
        0.0768612,
        0.0776074,
        0.0759974,
        0.0750694,
        0.077787,
        0.0777342,
        0.0832123,
        0.0836628,
        0.0925885,
        0.0994821,
        0.0945878,
        0.0888358,
        0.0913578,
        0.0926611,
        0.106338,
        0.111786,
        0.107475,
        0.107233,
        0.113932,
        0.119237,
        0.126128,
        0.15433,
        0.161928,
        0.184569,
        0.201009,
        0.193832,
        0.200718,
        0.214636,
        0.233811,
        0.255606,
        0.280315,
        0.197409,
        0.196125,
        0.181631,
        0.167868,
        0.153181,
        0.139067,
        0.134266,
        0.124247,
        0.116809,
        0.113437,
        0.112126,
        0.110778,
        0.0998407,
        0.0948967,
        0.0969582,
        0.0937707,
        0.0891477,
        0.0837296,
        0.0819859,
        0.0820741,
        0.0786107,
        0.0761861,
        0.0759044,
        0.0737818,
        0.0722201,
        0.072469,
        0.0720663,
        0.066725,
        0.0659659,
        0.0658843,
        0.0658974,
        0.0624282,
        0.0626285,
        0.0615003,
        0.0619249,
        0.0639087,
        0.0620467,
        0.060204,
        0.0609558,
        0.0594235,
        0.0587919,
        0.0588128,
        0.0584255,
        0.0581846,
        0.0583697,
        0.0591702,
        0.0580099,
        0.057234,
        0.0569718,
        0.0559247,
        0.0559688,
        0.0548921,
        0.0542275,
        0.0532228,
        0.0526832,
        0.0517126,
        0.0514727,
        0.0484607,
        0.049137,
        0.0500223,
        0.0477515,
        0.0578763,
        0.0577691,
        0.0484582,
        0.047657,
        0.0466245,
        0.0465859,
        0.0459999,
        0.0468148,
        0.0468091,
        0.0455568,
        0.0440822,
        0.0448784,
        0.0463087,
        0.0459849,
        0.0440812,
        0.0431376,
        0.0429785,
        0.0424334,
        0.0430696,
        0.0423476,
        0.0420141,
        0.041869,
        0.0417478,
        0.0430885,
        0.0433119,
        0.0424125,
        0.0416055,
        0.0434472,
        0.0437297,
        0.0415361,
        0.0415116,
        0.0409451,
        0.0411108,
        0.041561,
        0.0422895,
        0.0427316,
        0.042671,
        0.0492241,
        0.0492665,
        0.0442632,
        0.0444683,
        0.0450034,
        0.0453787,
        0.0466675,
        0.0495139,
        0.0511886,
        0.0510999,
        0.0498532,
        0.0467592,
        0.0457351,
        0.0457987,
        0.043041,
        0.0428227,
        0.0421007,
        0.0435072,
        0.0436913,
        0.0435491,
        0.0423587,
        0.041558,
        0.0418564,
        0.0418025,
        0.0419848,
        0.0417963,
        0.0404888,
        0.0394056,
        0.0403917,
        0.0398602,
        0.0394505,
        0.0391756,
        0.0396643,
        0.0404012,
        0.0401302,
        0.0395226,
        0.0394228,
        0.0393424,
        0.0398254,
        0.0478358,
        0.0479995,
        0.0388771,
        0.0391714,
        0.0390131,
        0.0388112,
        0.038499,
        0.0473445,
        0.0466481,
        0.0379051,
        0.0388422,
        0.0383022,
        0.0373304,
        0.0370726,
        0.0369153,
        0.0368329,
        0.0381681,
        0.0376117,
        0.0384255,
        0.0372774,
        0.0365583,
        0.0365014,
        0.0367258,
        0.0371966,
        0.037782,
        0.0383657,
        0.0389328,
        0.0383729,
        0.0379324,
        0.0382864,
        0.0383372,
        0.0381,
        0.03846,
        0.0429188,
        0.0483397,
        0.0479274,
        0.0388747,
        0.0383923,
        0.0384653,
        0.038931,
        0.038542,
        0.0386386,
        0.0381878,
        0.0449488,
        0.0443468,
        0.0376344,
        0.0380964,
        0.0379396,
        0.0382313,
        0.0383549,
        0.0386445,
        0.0382271,
        0.0378353,
        0.0379414,
        0.0382286,
        0.0376836,
        0.0375758,
        0.0379056,
        0.0385255,
        0.0379977,
        0.0382978,
        0.0369885,
        0.0369329,
        0.0365993,
        0.0369034,
        0.0370885,
        0.0372381,
        0.0365376,
        0.037234,
        0.0369322,
        0.0361415,
        0.0356339,
        0.0361854,
        0.0363239,
        0.0356643,
        0.0364802,
        0.0364825,
        0.0352651,
        0.0353719,
        0.0359353,
        0.0362172,
        0.036206,
        0.0361171,
        0.0363803,
        0.0378133,
        0.0365597,
        0.0355028,
        0.0351632,
        0.035426,
        0.0369601,
        0.0364949,
        0.0353443,
        0.0349875,
        0.0350412,
        0.0352136,
        0.0362983,
        0.0363515,
        0.0357363,
        0.0351631,
        0.0358138,
        0.0367379,
        0.0380954,
        0.0359442,
        0.0359875,
        0.0364672,
        0.0363734,
        0.0370047,
        0.0379091,
        0.0369827,
        0.0371185,
        0.0373622,
        0.0370182,
        0.0377671,
        0.0374576,
        0.0366514,
        0.0365488,
        0.0375691,
        0.0379385,
        0.0378778,
        0.0376268,
        0.0365495,
        0.036705,
        0.037062,
        0.0372516,
        0.0374086,
        0.0369353,
        0.0362884,
        0.0363241,
        0.0363582,
        0.0363234,
        0.0366135,
        0.0366025,
        0.0359566,
        0.0357631,
        0.0373997,
        0.0363899,
        0.0364768,
        0.0363939,
        0.035852,
        0.0360609,
        0.0352188,
        0.0353435,
        0.035685,
        0.036047,
        0.0361276,
        0.0366596,
        0.03708,
        0.0362095,
        0.0359399,
        0.0361527,
        0.0353781,
        0.0350428,
        0.0358583,
        0.0399684,
        0.0376348,
        0.0362998,
        0.0363803,
        0.0367073,
        0.0371145,
        0.0363351,
        0.0362262,
        0.0367079,
        0.0372881,
        0.0372166,
        0.0373991,
        0.0387477,
        0.0389621,
        0.0397055,
        0.0414423,
        0.0421465,
        0.043231,
        0.0442668,
        0.0445005,
        0.0427877,
        0.0419584,
        0.0419653,
        0.0410895,
        0.0398071,
        0.039954,
        0.0400242,
        0.0401465,
        0.0402276,
        0.0431527,
        0.0421793,
        0.038835,
        0.0397187,
        0.0403746,
        0.0455724,
        0.0451876,
        0.0380356,
        0.0389345,
        0.0390324,
        0.0394857,
        0.0470015,
        0.0460217,
        0.038104,
        0.0380311,
        0.0379753,
        0.0377982,
        0.037713,
        0.0377142,
        0.0375032,
        0.0370225,
        0.0366831,
        0.0371442,
        0.0369485,
        0.0383849,
        0.0380025,
        0.0375323,
        0.0407549,
        0.0504523,
        0.0435986,
        0.0365221,
        0.0363306,
        0.0361385,
        0.0358442,
        0.0374529,
        0.0380743,
        0.0367593,
        0.0370959,
        0.0383578,
        0.0382088,
        0.0370949,
        0.0372611,
        0.0371569,
        0.0365495,
        0.03635,
        0.0372935,
        0.036596,
        0.0371524,
        0.0373835,
        0.0386705,
        0.0386868,
        0.0378889,
        0.0377379,
        0.0384758,
        0.0385517,
        0.0392577,
        0.0382885,
        0.0387912,
        0.0396174,
        0.0392441,
        0.0403371,
        0.0423105,
        0.0402433,
        0.042529,
        0.041589,
        0.0391101,
        0.0389335,
        0.0399316,
        0.0393706,
        0.0389972,
        0.0477208,
        0.0479397,
        0.0464736,
        0.0460092,
        0.0387134,
        0.0390439,
        0.0390347,
        0.04003,
        0.0409243,
        0.0402631,
        0.0394982,
        0.039104,
        0.0394699,
        0.0394268,
        0.0399529,
        0.0434857,
        0.0444885,
        0.0393573,
        0.0395238,
        0.0402299,
        0.0396062,
        0.0393605,
        0.0397402,
        0.0400372,
        0.0400503,
        0.0388166,
        0.0399171,
        0.0398727,
        0.0399074,
        0.0403963,
        0.0412168,
        0.0412975,
        0.0413224,
        0.0416529,
        0.041708,
        0.0409636,
        0.0418079,
        0.0420619,
        0.0417174,
        0.0423075,
        0.0413908,
        0.0426216,
        0.0509576,
        0.0478164,
        0.0445863,
        0.0451349,
        0.0496414,
        0.0481513,
        0.0474161,
        0.04675,
        0.0469313,
        0.0472238,
        0.0490299,
        0.0491324,
        0.0520399,
        0.0534586,
        0.0558699,
        0.05648,
        0.0584686,
        0.0635725,
        0.0647166,
        0.068714,
        0.0769109,
        0.0802049,
        0.090587,
        0.104126,
        0.113939,
        0.128214,
        0.135235,
        0.137062,
        0.141289,
        0.129417,
        0.117955,
        0.105074,
        0.11423,
        0.0985717,
        0.0841456,
        0.0754119,
        0.0698134,
        0.0661584,
        0.0696106,
        0.0660144,
        0.0583465,
        0.0561865,
        0.0536971,
        0.051722,
        0.0510124,
        0.0554537,
        0.0551084,
        0.0502531,
        0.0493942,
        0.0535786,
        0.0488256,
        0.0459356,
        0.0448525,
        0.0454012,
        0.0450776,
        0.0452183,
        0.0448945,
        0.045694,
        0.0443776,
        0.0442846,
        0.0445105,
        0.0439956,
        0.0443445,
        0.0434667,
        0.0434788,
        0.0431445,
        0.0447174,
        0.0437948,
        0.0472872,
        0.0475437,
        0.0424843,
        0.053004,
        0.0550627,
        0.0455325,
        0.0510119,
        0.051424,
        0.0460479,
        0.0456312,
        0.0465043,
        0.0474508,
        0.046203,
        0.0483269,
        0.0487877,
        0.0481569,
        0.0486648,
        0.0468726,
        0.0476851,
        0.0470419,
        0.0473063,
        0.0459882,
        0.0456678,
        0.0449701,
        0.0446462,
        0.0463615,
        0.0450886,
        0.0524593,
        0.0512059,
        0.0447737,
        0.0447385,
        0.0450316,
        0.0455515,
        0.0443461,
        0.0436015,
        0.0449091,
        0.0455676,
        0.044498,
        0.044546,
        0.0448195,
        0.0449396,
        0.045616,
        0.0449668,
        0.0476211,
        0.0464948,
        0.0488952,
        0.0486598,
        0.045276,
        0.0442054,
        0.0444341,
        0.0447874,
        0.0451566,
        0.0441613,
        0.0441903,
        0.0433501,
        0.0440646,
        0.0455964,
        0.0453869,
        0.0464297,
        0.0462706,
        0.0459514,
        0.045718,
        0.045711,
        0.045636,
        0.0456739,
        0.0457252,
        0.0452981,
        0.0445921,
        0.0454134,
        0.045299,
        0.0452703,
        0.0463492,
        0.0480287,
        0.0492133,
        0.0499498,
        0.051646,
        0.0544327,
        0.0557208,
        0.0569852,
        0.0538129,
        0.0565166,
        0.056348,
        0.052083,
        0.0541959,
        0.0542632,
        0.0572211,
        0.0572248,
        0.0586618,
        0.0606012,
        0.0675918,
        0.0703932,
        0.0649661,
        0.0657152,
        0.0738014,
        0.0698815,
        0.0620097,
        0.0603395,
        0.0601454,
        0.0591559,
        0.0565592,
        0.0551473,
        0.0553027,
        0.0524842,
        0.0514944,
        0.0523601,
        0.0518232,
        0.0508783,
        0.0527242,
        0.0532596,
        0.0504319,
        0.0514124,
        0.0515822,
        0.0475586,
        0.0481993,
        0.0483865,
        0.0468959,
        0.0466924,
        0.0473008,
        0.0469136,
        0.0478633,
        0.047213,
        0.0474062,
        0.0486191,
        0.0477733,
        0.0588206,
        0.0579142,
        0.0476145,
        0.0466312,
        0.0478555,
        0.0477027,
        0.0488976,
        0.0468944,
        0.0478616,
        0.0572921,
        0.0574078,
        0.0473585,
        0.0471926,
        0.0470863,
        0.0472557,
        0.0482497,
        0.0474315,
        0.0458421,
        0.0470398,
        0.0477199,
        0.0482903,
        0.0486045,
        0.0491846,
        0.048628,
        0.0477587,
        0.048956,
        0.0488464,
        0.0493498,
        0.049396,
        0.0508079,
        0.0590068,
        0.0568597,
        0.049969,
        0.0510853,
        0.0509214,
        0.0505135,
        0.052025,
        0.0533645,
        0.0525161,
        0.0529516,
        0.053256,
        0.0525414,
        0.0538223,
        0.0552925,
        0.0554753,
        0.0559435,
        0.0565549,
        0.0554624,
        0.0566029,
        0.0596192,
        0.0610309,
        0.0617103,
        0.062527,
        0.0660049,
        0.0715171,
        0.066727,
        0.0686929,
        0.0695024,
        0.0695691,
        0.0691419,
        0.0676008,
        0.0693721,
        0.0712006,
        0.0743465,
        0.0770302,
        0.0790633,
        0.0786964,
        0.0900061,
        0.0960409,
        0.0973133,
        0.104162,
        0.115681,
        0.129559,
        0.155759,
        0.180152,
        0.211827,
        0.278923,
        0.206638,
        0.168165,
        0.147706,
        0.142073,
        0.120817,
        0.113859,
        0.106964,
        0.102759,
        0.0911427,
        0.0846335,
        0.0798031,
        0.0767707,
        0.0744467,
        0.0747284,
        0.071904,
        0.0711755,
        0.0683814,
        0.0655376,
        0.0666157,
        0.0640751,
        0.0623075,
        0.0626611,
        0.0620296,
        0.0610339,
        0.0582535,
        0.0581835,
        0.0594565,
        0.0619111,
        0.0594361,
        0.057704,
        0.0584545,
        0.0564007,
        0.0566898,
        0.0565969,
        0.0561872,
        0.0559876,
        0.0550943,
        0.0554997,
        0.0561001,
        0.0546641,
        0.0548561,
        0.0551984,
        0.0546738,
        0.0540813,
        0.0526249,
        0.0532259,
        0.0537989,
        0.0513806,
        0.0530565,
        0.053953,
        0.0526943,
        0.0525095,
        0.051976,
        0.0502608,
        0.0493005,
        0.0494957,
        0.0517562,
        0.0524208,
        0.0531679,
        0.0520473,
        0.0507889,
        0.0511869,
        0.0512559,
        0.048686,
        0.0495799,
        0.0517633,
        0.0525645,
        0.0590506,
        0.0625302,
        0.0512083,
        0.0507061,
        0.0501827,
        0.0500541,
        0.0504884,
        0.0510225,
        0.0531311,
        0.0567271,
        0.0572034,
        0.0520192,
        0.0513197,
        0.0507935,
        0.0523234,
        0.0537689,
        0.0535557,
        0.0546517,
        0.0545809,
        0.0541654,
        0.059298,
        0.0593571,
        0.0542806,
        0.054517,
        0.0549358,
        0.0544897,
        0.0533362,
        0.0544915,
        0.0539689,
        0.0532072,
        0.0542383,
        0.0557718,
        0.055949,
        0.0558477,
        0.0565661,
        0.054019,
        0.053966,
        0.0551403,
        0.0545839,
        0.0545917,
        0.0551106,
        0.0558428,
        0.0554512,
        0.0545025,
        0.0539862,
        0.0539809,
        0.0543443,
        0.0534406,
        0.0539056,
        0.0538194,
        0.0550532,
        0.0539932,
        0.0531189,
        0.0542311,
        0.055134,
        0.0547144,
        0.0544711,
        0.054657,
        0.0535604,
        0.0536025,
        0.0534665,
        0.053853,
        0.0547252,
        0.0549172,
        0.0530701,
        0.0533867,
        0.0538072,
        0.053985,
        0.0534413,
        0.0549914,
        0.0620508,
        0.060518,
        0.0542942,
        0.0564479,
        0.0555986,
        0.0550392,
        0.0559614,
        0.0555132,
        0.0559337,
        0.0560889,
        0.0579441,
        0.0571412,
        0.0560814,
        0.0565873,
        0.057104,
        0.0574679,
        0.0572442,
        0.0565005,
        0.0584558,
        0.0589427,
        0.0590038,
        0.0590418,
        0.0595843,
        0.0584587,
        0.0601213,
        0.0622783,
        0.0588599,
        0.0596593,
        0.0600574,
        0.0600113,
        0.0597719,
        0.0592572,
        0.0611058,
        0.0605316,
        0.0687315,
        0.0772463,
        0.066639,
        0.0619635,
        0.0628111,
        0.0614746,
        0.0596989,
        0.0602537,
        0.0603225,
        0.0607321,
        0.0616541,
        0.061112,
        0.0606542,
        0.0614253,
        0.0613704,
        0.0617378,
        0.0681384,
        0.07161,
        0.0617292,
        0.0617246,
        0.061536,
        0.0615952,
        0.0600986,
        0.0614019,
        0.061303,
        0.0604604,
        0.0625173,
        0.0620235,
        0.0615383,
        0.060392,
        0.0615748,
        0.0613393,
        0.0606492,
        0.0618887,
        0.0621089,
        0.0635038,
        0.0699756,
        0.0728199,
        0.0616461,
        0.064012,
        0.0627165,
        0.0637333,
        0.0628899,
        0.0640444,
        0.0657321,
        0.067123,
        0.0653789,
        0.0652173,
        0.0674153,
        0.0663469,
        0.0694696,
        0.0745727,
        0.0690378,
        0.0693725,
        0.0712454,
        0.0786019,
        0.0808661,
        0.0730055,
        0.0727682,
        0.0716013,
        0.0724802,
        0.0743988,
        0.0740036,
        0.0751231,
        0.0747806,
        0.0741258,
        0.0711155,
        0.0731276,
        0.0769036,
        0.0760863,
        0.0752129,
        0.0758772,
        0.0764838,
        0.0780543,
        0.0744382,
        0.0772813,
        0.0771559,
        0.0749422,
        0.0738978,
        0.0738625,
        0.0763626,
        0.0791093,
        0.0765178,
        0.0782439,
        0.0808074,
        0.0770721,
        0.0796383,
        0.0798163,
        0.0811085,
        0.0842543,
        0.0878319,
        0.083473,
        0.0806906,
        0.0794953,
        0.0812319,
        0.0833333,
        0.084104,
        0.0835285,
        0.0850279,
        0.082206,
        0.0853956,
        0.0894713,
        0.0873467,
        0.0873835,
        0.0866858,
        0.0887048,
        0.0907627,
        0.0870989,
        0.0954814,
        0.101783,
        0.0942758,
        0.0970333,
        0.0970551,
        0.0988924,
        0.0975588,
        0.110256,
        0.12226,
        0.101036,
        0.105271,
        0.108697,
        0.109082,
        0.105038,
        0.108282,
        0.131644,
        0.116932,
        0.113032,
        0.114058,
        0.110161,
        0.11825,
        0.114853,
        0.121731,
        0.126291,
        0.124174,
        0.123678,
        0.1352,
        0.140785,
        0.135076,
        0.134361,
        0.130596,
        0.150961,
        0.152812,
        0.158949,
        0.161955,
        0.162687,
        0.167328,
        0.161876,
        0.164249,
        0.167903,
        0.161642,
        0.162326,
        0.168458,
        0.185581,
        0.212403,
        0.205199,
        0.205591,
        0.205173,
        0.201627,
        0.241503,
        0.23945,
        null,
        0.196884,
        0.187511,
        0.186012,
        0.179316,
        0.176211,
        0.172155,
        0.173962,
        0.166848,
        0.150116,
        0.16604,
        0.151265,
        0.147322,
        0.146139,
        0.142426,
        0.136017,
        0.134718,
        0.133986,
        0.133751,
        0.130893,
        0.129843,
        0.132128,
        0.125276,
        0.121912,
        0.119732,
        0.118846,
        0.125762,
        0.128118,
        0.125438,
        0.121047,
        0.124161,
        0.130995,
        0.123243,
        0.12013,
        0.110936,
        0.110878,
        0.10607,
        0.10853,
        0.105378,
        0.103715,
        0.102029,
        0.106753,
        0.106381,
        0.10016,
        0.0989515,
        0.0990259,
        0.101243,
        0.10267,
        0.0980816,
        0.097992,
        0.0891946,
        0.0886849,
        0.089089,
        0.0914108,
        0.0918302,
        0.0924868,
        0.0905349,
        0.0949075,
        0.0868865,
        0.089703,
        0.0868468,
        0.0837103,
        0.0845832,
        0.0817573,
        0.0803223,
        0.0802102,
        0.0798919,
        0.0803059,
        0.0796298,
        0.0756964,
        0.0727766,
        0.0727666,
        0.0768327,
        0.0777319,
        0.0734784,
        0.073705,
        0.0724823,
        0.072734,
        0.0727907,
        0.0710936,
        0.0712942,
        0.0740314,
        0.074535,
        0.0717664,
        0.0712293,
        0.0737624,
        0.0748257,
        0.0725628,
        0.0752767,
        0.0726161,
        0.0762833,
        0.0747992,
        0.0717363,
        0.0724427,
        0.0725197,
        0.0754927,
        0.0732078,
        0.0710788,
        0.0697261,
        0.0716237,
        0.0737242,
        0.0701042,
        0.0700375,
        0.0772294,
        0.0794405,
        0.0697293,
        0.0706852,
        0.0704898,
        0.0687652,
        0.0689807,
        0.0719481,
        0.0705553,
        0.0686978,
        0.0693345,
        0.0696342,
        0.0694792,
        0.0679769,
        0.0678043,
        0.0683314,
        0.0694786,
        0.0717786,
        0.069359,
        0.0714764,
        0.0709695,
        0.0722419,
        0.0710706,
        0.0744152,
        0.08272,
        0.0892751,
        0.0986058,
        0.106177,
        0.120996,
        0.141959,
        0.135573,
        0.127025,
        0.112378,
        0.0950244,
        0.0836633,
        0.0780738,
        0.0735564,
        0.0701257,
        0.0653386,
        0.0622417,
        0.0611227,
        0.0624306,
        0.0613641,
        0.0605529,
        0.0604524,
        0.0607655,
        0.0596788,
        0.0580169,
        0.0582923,
        0.0587958,
        0.0574835,
        0.0581265,
        0.0574347,
        0.0575247,
        0.0574594,
        0.0592455,
        0.0596174,
        0.059947,
        0.0587639,
        0.058039,
        0.0572184,
        0.0567072,
        0.0582582,
        0.0562336,
        0.0561215,
        0.0568328,
        0.0566159,
        0.0565841,
        0.0565387,
        0.0571369,
        0.0562794,
        0.0561724,
        0.0555917,
        0.0570231,
        0.0565891,
        0.0544006,
        0.0548332,
        0.0542324,
        0.0558015,
        0.0541202,
        0.0536317,
        0.0545389,
        0.0560648,
        0.0537773,
        0.0526739,
        0.0547609,
        0.0552325,
        0.053894,
        0.0541939,
        0.0524435,
        0.0526421,
        0.0530013,
        0.0530508,
        0.0536348,
        0.0522294,
        0.0527619,
        0.0508391,
        0.0506246,
        0.0507043,
        0.0517587,
        0.0507712,
        0.0509888,
        0.052501,
        0.0514436,
        0.0520716,
        0.0531293,
        0.0520147,
        0.052867,
        0.0522469,
        0.051105,
        0.0533818,
        0.0563155,
        0.0566344,
        0.0568868,
        0.0603807,
        0.0599214,
        0.05958,
        0.0573649,
        0.0539694,
        0.0555477,
        0.0575213,
        0.054894,
        0.0554736,
        0.0535756,
        0.0523737,
        0.0513002,
        0.052815,
        0.0539364,
        0.053941,
        0.052591,
        0.0528486,
        0.0528283,
        0.0532117,
        0.05343,
        0.0534626,
        0.0538431,
        0.0522362,
        0.0524951,
        0.0530254,
        0.0529652,
        0.0550626,
        0.0535953,
        0.052552,
        0.0520975,
        0.0507181,
        0.0528904,
        0.0532796,
        0.0519182,
        0.0517383,
        0.0542976,
        0.0562087,
        0.0556501,
        0.0562739,
        0.0565181,
        0.0600223,
        0.0602741,
        0.0645488,
        0.0674095,
        0.0700582,
        0.0736079,
        0.0830246,
        0.0889131,
        0.0951729,
        0.0976158,
        0.0970089,
        0.0971553,
        0.0875883,
        0.0806048,
        0.0773447,
        0.089077,
        0.0791984,
        0.0620431,
        0.0585477,
        0.0577077,
        0.0567176,
        0.0562933,
        0.0536985,
        0.0524441,
        0.0537289,
        0.0562029,
        0.0543827,
        0.0529865,
        0.0506912,
        0.0513208,
        0.0503282,
        0.0510697,
        0.0504821,
        0.0496529,
        0.0502148,
        0.0505878,
        0.0494636,
        0.0500091,
        0.0487321,
        0.0491379,
        0.0501558,
        0.0503613,
        0.0505946,
        0.049713,
        0.0490324,
        0.0489509,
        0.049328,
        0.0504528,
        0.0490268,
        0.0490446,
        0.0483547,
        0.0484459,
        0.0505618,
        0.0527495,
        0.0511382,
        0.0503375,
        0.0527197,
        0.0561247,
        0.0559663,
        0.0561393,
        0.0569688,
        0.0555809,
        0.0560107,
        0.0543143,
        0.0524946,
        0.0527712,
        0.0503008,
        0.0488715,
        0.0479074,
        0.046505,
        0.0451283,
        0.0456902,
        0.0448374,
        0.0453214,
        0.0448485,
        0.0441285,
        0.0437098,
        0.0447932,
        0.0430909,
        0.0429439,
        0.0433185,
        0.0442721,
        0.0430149,
        0.0436688,
        0.0432549,
        0.0431902,
        0.0440507,
        0.0430222,
        0.0434268,
        0.0437459,
        0.0423061,
        0.0424442,
        0.0428864,
        0.0437343,
        0.0434296,
        0.0441269,
        0.0448561,
        0.0443964,
        0.0432711,
        0.0442495,
        0.0447422,
        0.0444725,
        0.0431314,
        0.0438008,
        0.0435663,
        0.0430843,
        0.0423664,
        0.042274,
        0.0433868,
        0.0439001,
        0.0431785,
        0.0435222,
        0.0436734,
        0.0437396,
        0.0430897,
        0.0430501,
        0.0436876,
        0.0424266,
        0.0420788,
        0.0426602,
        0.0429915,
        0.0416099,
        0.040999,
        0.0421241,
        0.0426794,
        0.0430633,
        0.0433357,
        0.0428428,
        0.0426872,
        0.0435931,
        0.0431695,
        0.0423959,
        0.0421703,
        0.0422423,
        0.0455768,
        0.0448092,
        0.0453214,
        0.0476664,
        0.0442237,
        0.0444476,
        0.0447539,
        0.0454133,
        0.047419,
        0.0497077,
        0.0511695,
        0.0540824,
        0.0572318,
        0.0678879,
        0.08201,
        0.0998903,
        0.119939,
        0.141761,
        0.138983,
        0.120448,
        0.0978465,
        0.079819,
        0.0675873,
        0.05916,
        0.0555544,
        0.0534565,
        0.0517906,
        0.0499116,
        0.0481104,
        0.0469361,
        0.0460654,
        0.0461955,
        0.0455706,
        0.0452498,
        0.04604,
        0.0452849,
        0.0430647,
        0.0432699,
        0.0439534,
        0.0460395,
        0.0446875,
        0.0445183,
        0.0441206,
        0.0434943,
        0.0427537,
        0.0436016,
        0.0445355,
        0.0451602,
        0.0449271,
        0.043408,
        0.0429617,
        0.0422921,
        0.042209,
        0.042811,
        0.0421548,
        0.0418455,
        0.0428797,
        0.0530574,
        0.0523748,
        0.0418649,
        0.0419786,
        0.0429114,
        0.0421803,
        0.041959,
        0.0439372,
        0.0418496,
        0.0418739,
        0.0425612,
        0.0419698,
        0.0418667,
        0.042059,
        0.0423928,
        0.0418078,
        0.0423939,
        0.042273,
        0.0423314,
        0.0428731,
        0.0420835,
        0.0433322,
        0.0444466,
        0.0444901,
        0.0433627,
        0.0445207,
        0.0443873,
        0.0444166,
        0.0447402,
        0.0456173,
        0.0452512,
        0.0450736,
        0.0457522,
        0.0497965,
        0.0493191,
        0.0494723,
        0.0519785,
        0.052653,
        0.0536039,
        0.0562672,
        0.0597964,
        0.0611479,
        0.0643211,
        0.0647287,
        0.0666417,
        0.0718468,
        0.0723168,
        0.0733525,
        0.0757196,
        0.0774748,
        0.0826448,
        0.0780563,
        0.0762128,
        0.0737001,
        0.0699879,
        0.0684943,
        0.0679424,
        0.0625496,
        0.0610453,
        0.0568188,
        0.0550451,
        0.0546365,
        0.0550067,
        0.0537647,
        0.0522785,
        0.050555,
        0.0512849,
        0.0516124,
        0.0504037,
        0.0525737,
        0.0536658,
        0.0556034,
        0.0587937,
        0.0613078,
        0.0640933,
        0.0625459,
        0.061843,
        0.0625289,
        0.0602202,
        0.0540458,
        0.0507366,
        0.0496471,
        0.0478887,
        0.0456933,
        0.0443752,
        0.0456317,
        0.044397,
        0.0437291,
        0.0431887,
        0.0438061,
        0.0440254,
        0.0442285,
        0.0429148,
        0.0419642,
        0.0423188,
        0.0428404,
        0.0431067,
        0.0511844,
        0.0500135,
        0.0417771,
        0.0428766,
        0.0416551,
        0.0418877,
        0.042664,
        0.042393,
        0.0412156,
        0.0420678,
        0.0418916,
        0.0423483,
        0.0429082,
        0.0426613,
        0.0486364,
        0.047432,
        0.042045,
        0.0422044,
        0.0426883,
        0.0437791,
        0.0429024,
        0.0432385,
        0.0446885,
        0.0434271,
        0.0434307,
        0.0428434,
        0.0412586,
        0.0410333,
        0.0413224,
        0.0412149,
        0.0415551,
        0.0414845,
        0.0413859,
        0.0409989,
        0.0407491,
        0.0404137,
        0.0399037,
        0.0502678,
        0.0482292,
        0.0406478,
        0.0409777,
        0.039799,
        0.040578,
        0.0401261,
        0.0410438,
        0.0417957,
        0.0425173,
        0.0434917,
        0.043543,
        0.0443428,
        0.0456718,
        0.0497907,
        0.0520097,
        0.0518603,
        0.0525148,
        0.0508504,
        0.0498913,
        0.0473132,
        0.0459638,
        0.0449903,
        0.0450115,
        0.0435754,
        0.0438615,
        0.0436974,
        0.0417894,
        0.0422285,
        0.042055,
        0.0429199,
        0.0481498,
        0.0442669,
        0.0423369,
        0.0415833,
        0.0415493,
        0.0424408,
        0.0422285,
        0.0418147,
        0.0429087,
        0.0430724,
        0.0431291,
        0.0426631,
        0.0410704,
        0.0415927,
        0.0411753,
        0.0413738,
        0.0415279,
        0.0409729,
        0.0423449,
        0.0422896,
        0.0433153,
        0.0432119,
        0.0421766,
        0.0419868,
        0.0424415,
        0.0425188,
        0.0428266,
        0.041811,
        0.0411327,
        0.0411254,
        0.041052,
        0.04039,
        0.0403929,
        0.040807,
        0.0400253,
        0.0403981,
        0.0400896,
        0.0403136,
        0.040674,
        0.0400199,
        0.0396671,
        0.0390894,
        0.0389679,
        0.0401409,
        0.0397607,
        0.0396514,
        0.0396128,
        0.0398148,
        0.0430905,
        0.0417541,
        0.0405969,
        0.0452596,
        0.0455804,
        0.0404483,
        0.0422061,
        0.0429806,
        0.0426982,
        0.0434112,
        0.0446886,
        0.043375,
        0.0428966,
        0.0432303,
        0.0432214,
        0.0420546,
        0.04187,
        0.0420476,
        0.044517,
        0.0424498,
        0.0414515,
        0.0460473,
        0.043541,
        0.0429584,
        0.0429262,
        0.0414116,
        0.042828,
        0.0426985,
        0.0421145,
        0.0424489,
        0.0431019,
        0.0422256,
        0.0426521,
        0.0423993,
        0.0417697,
        0.0434317,
        0.043223,
        0.0433747,
        0.0433299,
        0.0440417,
        0.0445077,
        0.0444214,
        0.045041,
        0.0451146,
        0.0445502,
        0.0437956,
        0.0431819,
        0.0420202,
        0.0417804,
        0.0421022,
        0.0430812,
        0.0420652,
        0.0415425,
        0.0406847,
        0.041121,
        0.0408559,
        0.040835,
        0.0423453,
        0.0433234,
        0.0413591,
        0.0414109,
        0.0414835,
        0.042906,
        0.0429271,
        0.0436453,
        0.0461915,
        0.0500621,
        0.0554233,
        0.0600717,
        0.0668903,
        0.0717243,
        0.0706393,
        0.064801,
        0.0604855,
        0.0567049,
        0.0623709,
        0.0600209,
        0.0477331,
        0.0471603,
        0.0457372,
        0.0453998,
        0.043873,
        0.0436382,
        0.0430484,
        0.0430376,
        0.0422614,
        0.0439612,
        0.0444219,
        0.0437003,
        0.043971,
        0.0441323,
        0.0435143,
        0.0444956,
        0.0450794,
        0.0437557,
        0.0443552,
        0.0457013,
        0.0453101,
        0.04513,
        0.0465264,
        0.0480504,
        0.0491646,
        0.0501993,
        0.0498625,
        0.0507323,
        0.0490786,
        0.0480286,
        0.0482126,
        0.0469031,
        0.0444256,
        0.0452865,
        0.0443062,
        0.0437763,
        0.0440041,
        0.0442761,
        0.0447687,
        0.0445829,
        0.0442955,
        0.0437452,
        0.0432194,
        0.042816,
        0.0432228,
        0.0440457,
        0.0468164,
        0.0473839,
        0.0464861,
        0.0487022,
        0.0497458,
        0.0512773,
        0.0595307,
        0.067514,
        0.0640811,
        0.0670559,
        0.0645515,
        0.0666007,
        0.0603839,
        0.0542876,
        0.0531149,
        0.0495827,
        0.0485258,
        0.047264,
        0.0468689,
        0.0478763,
        0.0471412,
        0.0461085,
        0.0461852,
        0.0478754,
        0.047098,
        0.0459955,
        0.0457452,
        0.0473735,
        0.0478815,
        0.0472674,
        0.048955,
        0.0491058,
        0.0510043,
        0.0527738,
        0.0557338,
        0.0584469,
        0.0620063,
        0.0604963,
        0.058189,
        0.056664,
        0.0559356,
        0.0528975,
        0.0514655,
        0.05018,
        0.0496607,
        0.0480611,
        0.0486234,
        0.0530877,
        0.0510686,
        0.0475959,
        0.0487959,
        0.0496497,
        0.047763,
        0.0472635,
        0.046674,
        0.0476905,
        0.0489364,
        0.0505703,
        0.0515829,
        0.0526072,
        0.0557539,
        0.0580552,
        0.0613774,
        0.0617154,
        0.0641226,
        0.0625796,
        0.0566891,
        0.0538553,
        0.0525176,
        0.0513817,
        0.0494087,
        0.0479217,
        0.0493526,
        0.0492577,
        0.0493605,
        0.0490864,
        0.0485632,
        0.0482586,
        0.0470801,
        0.0481735,
        0.0485319,
        0.0506692,
        0.051318,
        0.0534899,
        0.0582893,
        0.0611027,
        0.0659904,
        0.0699071,
        0.0747965,
        0.0848157,
        0.0766093,
        0.0703427,
        0.0738098,
        0.0596776,
        0.0573113,
        0.0560235,
        0.0549266,
        0.0542296,
        0.0534308,
        0.0541651,
        0.0550701,
        0.0536253,
        0.0543594,
        0.0554014,
        0.0550516,
        0.0562996,
        0.0573944,
        0.0592857,
        0.0654034,
        0.0694787,
        0.0723589,
        0.0814385,
        0.0881081,
        0.0875692,
        0.0835157,
        0.0745429,
        0.0703853,
        0.0659611,
        0.061187,
        0.0603167,
        0.0596838,
        0.0577794,
        0.0570192,
        0.0567477,
        0.0570358,
        0.0580962,
        0.0582307,
        0.0577273,
        0.0593645,
        0.0624507,
        0.0655583,
        0.0702354,
        0.0784644,
        0.0876221,
        0.0987081,
        0.113403,
        0.114557,
        0.0908391,
        0.0815371,
        0.0730818,
        0.0709788,
        0.0692025,
        0.0655384,
        0.063853,
        0.0634186,
        0.0624751,
        0.0635909,
        0.0658498,
        0.0686524,
        0.068132,
        0.0723194,
        0.074786,
        0.0812005,
        0.087455,
        0.102834,
        0.117271,
        0.121071,
        0.13184,
        0.117477,
        0.105702,
        0.093963,
        0.0927595,
        0.0884894,
        0.0863817,
        0.0860801,
        0.0867886,
        0.0870169,
        0.0856656,
        0.0939437,
        0.0928918,
        0.0943473,
        0.100875,
        0.10548,
        0.122701,
        0.145765,
        0.15789,
        0.194287,
        0.199888,
        0.210664,
        0.186605,
        0.141403,
        0.135266,
        0.137319,
        0.135959,
        0.129276,
        0.13598,
        0.137128,
        0.138505,
        0.150831,
        0.151944,
        0.16892,
        0.191732,
        0.199325,
        0.262615,
        0.253935,
        0.241034,
        0.247151,
        0.232289,
        0.229688,
        0.22005,
        0.243582,
        0.252929,
        0.234521,
        0.211444,
        0.236904,
        0.293908,
        0.315912,
        0.265228,
        0.232359,
        0.236253,
        0.32686,
        0.385304,
        0.379343,
        0.384427,
        0.248396,
        0.220219,
        0.17026,
        0.14621,
        0.123253,
        0.110066,
        0.104803,
        0.100093,
        0.0988198,
        0.0962251,
        0.101184,
        0.106442,
        0.108515,
        0.103251,
        0.106522,
        0.103782,
        0.0977452,
        0.0909769,
        0.0838698,
        0.0782413,
        0.0785671,
        0.0725965,
        0.0681841,
        0.0659558,
        0.0643496,
        0.063497,
        0.0626046,
        0.0611027,
        0.0613116,
        0.0626167,
        0.0622288,
        0.0610204,
        0.0610394,
        0.0614592,
        0.0689828,
        0.0703838,
        0.0672829,
        0.0677757,
        0.0694796,
        0.0729431,
        0.0796123,
        0.0860084,
        0.0934842,
        0.101646,
        0.111959,
        0.128359,
        0.147605,
        0.207493,
        0.221507,
        0.21695,
        0.189337,
        0.168037,
        0.147089,
        0.131973,
        0.118253,
        0.105746,
        0.0981792,
        0.0875699,
        0.079463,
        0.0715325,
        0.0693083,
        0.0686459,
        0.0656768,
        0.0623521,
        0.0624457,
        0.0619846,
        0.060935,
        0.0557285,
        0.055934,
        0.0560651,
        0.0552841,
        0.0564889,
        0.0617762,
        0.0576274,
        0.0534401,
        0.0528923,
        0.0521282,
        0.0528543,
        0.0523776,
        0.0506863,
        0.0512437,
        0.0509484,
        0.0514443,
        0.0509831,
        0.0501572,
        0.048224,
        0.0498038,
        0.0503816,
        0.0491349,
        0.0495861,
        0.049514,
        0.0488066,
        0.0484108,
        0.04794,
        0.048929,
        0.0478925,
        0.047652,
        0.0478121,
        0.0467521,
        0.0472449,
        0.0481403,
        0.0468647,
        0.0451652,
        0.0464667,
        0.0475407,
        0.0457169,
        0.0460088,
        0.0473526,
        0.0469235,
        0.046227,
        0.0460142,
        0.047174,
        0.0471916,
        0.0461885,
        0.0468969,
        0.0464655,
        0.0457376,
        0.0458475,
        0.0461217,
        0.0469476,
        0.0459332,
        0.048182,
        0.0482556,
        0.0464715,
        0.0459239,
        0.0452507,
        0.0460388,
        0.0474398,
        0.047342,
        0.0464883,
        0.0474327,
        0.0475892,
        0.0489203,
        0.0484015,
        0.0476759,
        0.0470294,
        0.0480297,
        0.0479296,
        0.0479665,
        0.0473043,
        0.0471282,
        0.0473673,
        0.0477948,
        0.0480851,
        0.046715,
        0.0474062,
        0.0492096,
        0.0529861,
        0.0535572,
        0.047235,
        0.0474337,
        0.0472161,
        0.0478436,
        0.0482079,
        0.0497201,
        0.04916,
        0.045471,
        0.0516165,
        0.0528149,
        0.0469892,
        0.0474124,
        0.0467516,
        0.045393,
        0.0453806,
        0.0465283,
        0.0542403,
        0.0577835,
        0.0495218,
        0.048098,
        0.0462774,
        0.0454235,
        0.0503581,
        0.0501235,
        0.0458493,
        0.0456676,
        0.0442149,
        0.0445937,
        0.0461767,
        0.0463913,
        0.0524347,
        0.0522665,
        0.0459332,
        0.0443419,
        0.0450491,
        0.0449149,
        0.0443091,
        0.0453207,
        0.0466356,
        0.050702,
        0.0501165,
        0.046865,
        0.0467657,
        0.046475,
        0.046769,
        0.0478987,
        0.0481883,
        0.0494064,
        0.0484001,
        0.0481522,
        0.0490545,
        0.0489259,
        0.0494571,
        0.0504714,
        0.0517759,
        0.0529008,
        0.0543265,
        0.0535622,
        0.0532594,
        0.051694,
        0.0520222,
        0.0518684,
        0.0518693,
        0.0514787,
        0.0511379,
        0.0519813,
        0.0507237,
        0.0508193,
        0.0492079,
        0.0493461,
        0.0489919,
        0.0503524,
        0.0510674,
        0.0478712,
        0.047033,
        0.0489955,
        0.0486987,
        0.0486655,
        0.0489404,
        0.0509404,
        0.0506713,
        0.0512329,
        0.0513067,
        0.0516879,
        0.051863,
        0.0507795,
        0.0508452,
        0.0506944,
        0.0494698,
        0.0492465,
        0.0489742,
        0.0481221,
        0.0493533,
        0.0476618,
        0.0480288,
        0.0536278,
        0.0533474,
        0.0479069,
        0.0472954,
        0.0474817,
        0.0463458,
        0.0464403,
        0.0471551,
        0.0472866,
        0.0475605,
        0.0481141,
        0.0469835,
        0.0464528,
        0.0465866,
        0.0479826,
        0.0476603,
        0.0473699,
        0.0478001,
        0.0481388,
        0.0488726,
        0.0474509,
        0.0489789,
        0.0494304,
        0.0483359,
        0.0482834,
        0.049398,
        0.0489975,
        0.0478736,
        0.0488406,
        0.0506712,
        0.0505403,
        0.0499102,
        0.0496254,
        0.0496486,
        0.0490039,
        0.0483522,
        0.0486761,
        0.0490846,
        0.0536359,
        0.0538968,
        0.0482523,
        0.0500213,
        0.0499392,
        0.049523,
        0.0487622,
        0.0499046,
        0.0520978,
        0.0512646,
        0.0487751,
        0.0490377,
        0.0490439,
        0.0500367,
        0.0500619,
        0.0484918,
        0.048946,
        0.0490744,
        0.0488451,
        0.0480948,
        0.0486919,
        0.0489532,
        0.0482203,
        0.0482798,
        0.0509218,
        0.0482922,
        0.0468564,
        0.0470307,
        0.0470855,
        0.0468914,
        0.0468709,
        0.0470515,
        0.0478217,
        0.0472234,
        0.0478115,
        0.0468932,
        0.0470905,
        0.0483275,
        0.048355,
        0.0479436,
        0.0500783,
        0.056048,
        0.0527709,
        0.0491237,
        0.0483577,
        0.0493507,
        0.049714,
        0.0482521,
        0.0483638,
        0.0496913,
        0.0521778,
        0.0512003,
        0.0496384,
        0.0482409,
        0.0491586,
        0.0486797,
        0.0546862,
        0.0561965,
        0.0498548,
        0.0498217,
        0.0507027,
        0.0500114,
        0.0505653,
        0.0507845,
        0.057822,
        0.0584977,
        0.0530231,
        0.0521628,
        0.055488,
        0.055403,
        0.0518744,
        0.0514467,
        0.0502185,
        0.0499664,
        0.0508952,
        0.0510278,
        0.0500003,
        0.0494461,
        0.051046,
        0.0514089,
        0.050148,
        0.0499196,
        0.0550677,
        0.0586964,
        0.0514453,
        0.0511114,
        0.0507606,
        0.0504555,
        0.0508889,
        0.0499878,
        0.0502801,
        0.0508192,
        0.0495018,
        0.0504573,
        0.0519251,
        0.0517338,
        0.0506469,
        0.0482426,
        0.0496892,
        0.0503088,
        0.0493196,
        0.0494644,
        0.0546563,
        0.0543945,
        0.0500922,
        0.0490898,
        0.0489674,
        0.048758,
        0.0484794,
        0.05303,
        0.0503381,
        0.0501982,
        0.0508406,
        0.0503844,
        0.051754,
        0.0510603,
        0.0513909,
        0.0530124,
        0.0531194,
        0.0533192,
        0.0549187,
        0.056741,
        0.0582266,
        0.0586906,
        0.0606257,
        0.0631505,
        0.0675922,
        0.0726143,
        0.0751882,
        0.0770978,
        0.075481,
        0.0703554,
        0.0678022,
        0.0634362,
        0.0624878,
        0.0612704,
        0.0586805,
        0.0586844,
        0.0574128,
        0.0556737,
        0.0558998,
        0.0559014,
        0.0551456,
        0.0566871,
        0.0546859,
        0.0555573,
        0.0555856,
        0.0555718,
        0.0538358,
        0.0532904,
        0.0534375,
        0.0538002,
        0.053953,
        0.0539435,
        0.0536468,
        0.0550807,
        0.0550085,
        0.0529844,
        0.0537694,
        0.0531573,
        0.0546226,
        0.0534237,
        0.0525424,
        0.0523073,
        0.0534182,
        0.0530445,
        0.0519574,
        0.0507093,
        0.0522044,
        0.0519376,
        0.0519829,
        0.0505916,
        0.0506928,
        0.0518597,
        0.0517232,
        0.0529213,
        0.0516481,
        0.0522809,
        0.0513681,
        0.052511,
        0.0520734,
        0.0516879,
        0.0533383,
        0.0528905,
        0.0534381,
        0.0516665,
        0.0532179,
        0.0641789,
        0.061572,
        0.0528626,
        0.051749,
        0.0513113,
        0.0515958,
        0.0531262,
        0.0533795,
        0.0527473,
        0.0532544,
        0.0539438,
        0.0540567,
        0.0536435,
        0.0545637,
        0.0559682,
        0.055024,
        0.0556378,
        0.0557661,
        0.0550184,
        0.056643,
        0.0540234,
        0.0542175,
        0.0636319,
        0.0628167,
        0.0536051,
        0.064172,
        0.0644107,
        0.0567892,
        0.0558252,
        0.0560586,
        0.0561637,
        0.0571041,
        0.0559101,
        0.0552107,
        0.0561038,
        0.0552766,
        0.0545653,
        0.0561488,
        0.0542913,
        0.0539085,
        0.0544387,
        0.0540401,
        0.0544091,
        0.0546803,
        0.0552788,
        0.0543073,
        0.0537405,
        0.0559503,
        0.0548409,
        0.0589603,
        0.0597881,
        0.055173,
        0.0537301,
        0.0529664,
        0.0537427,
        0.0541402,
        0.0547489,
        0.0539988,
        0.0546853,
        0.055603,
        0.0541883,
        0.053952,
        0.0567132,
        0.0566159,
        0.0546245,
        0.0549499,
        0.0549439,
        0.0553899,
        0.0546877,
        0.0549884,
        0.0544061,
        0.0545024,
        0.0551796,
        0.0558232,
        0.0555261,
        0.0541659,
        0.0548493,
        0.0554572,
        0.0553089,
        0.0556391,
        0.0550558,
        0.0556701,
        0.0566844,
        0.0572614,
        0.0563173,
        0.056394,
        0.0558944,
        0.0558771,
        0.0567647,
        0.0582241,
        0.0586885,
        0.058869,
        0.0610746,
        0.0636834,
        0.0585743,
        0.0589006,
        0.0598061,
        0.0597677,
        0.0608009,
        0.0591522,
        0.0581844,
        0.0583698,
        0.0582538,
        0.059762,
        0.0582354,
        0.0581713,
        0.0580779,
        0.0598166,
        0.0590168,
        0.059829,
        0.0584715,
        0.0596595,
        0.0644307,
        0.0627336,
        0.0602531,
        0.0603179,
        0.0599028,
        0.0590099,
        0.0585319,
        0.0587552,
        0.0600493,
        0.0630294,
        0.0615278,
        0.0607185,
        0.0615041,
        0.061788,
        0.0621143,
        0.0618085,
        0.0624656,
        0.0630064,
        0.0657787,
        0.0657496,
        0.0686792,
        0.0704065,
        0.0718696,
        0.0742983,
        0.0787186,
        0.0840022,
        0.0863708,
        0.09461,
        0.104516,
        0.115257,
        0.138002,
        0.174216,
        0.151444,
        0.155253,
        0.159872,
        0.159516,
        0.153374,
        0.162987,
        0.155815,
        0.146923,
        0.12996,
        0.112419,
        0.0987438,
        0.0945159,
        0.0858354,
        0.0817507,
        0.0773643,
        0.0758567,
        0.0727049,
        0.0720356,
        0.0716816,
        0.0693479,
        0.0699301,
        0.0685708,
        0.0680828,
        0.0685551,
        0.0666669,
        0.0674772,
        0.066589,
        0.0643537,
        0.0667768,
        0.0666808,
        0.068979,
        0.0654714,
        0.0677946,
        0.0664257,
        0.0651114,
        0.0670911,
        0.0669001,
        0.0662118,
        0.0651178,
        0.065687,
        0.0676703,
        0.0654021,
        0.0654261,
        0.0662584,
        0.0641387,
        0.0637707,
        0.0636365,
        0.0649503,
        0.0643736,
        0.0656422,
        0.0647781,
        0.0639481,
        0.0644275,
        0.0752229,
        0.0735531,
        0.066468,
        0.0647423,
        0.0774563,
        0.0783132,
        0.0639403,
        0.0629111,
        0.0638852,
        0.0623844,
        0.0617695,
        0.0619006,
        0.0627122,
        0.0611882,
        0.0620091,
        0.0623374,
        0.0621781,
        0.0623704,
        0.0618098,
        0.063212,
        0.0641564,
        0.0620574,
        0.0642184,
        0.0634384,
        0.0632014,
        0.0622081,
        0.0619319,
        0.063442,
        0.0635421,
        0.0626025,
        0.0647424,
        0.0656662,
        0.0655855,
        0.0637248,
        0.0667157,
        0.0656486,
        0.0650812,
        0.0655491,
        0.0667798,
        0.0677282,
        0.0680817,
        0.0678049,
        0.0671521,
        0.0765002,
        0.0733791,
        0.0676563,
        0.0661601,
        0.069111,
        0.067699,
        0.0698631,
        0.0670661,
        0.0853354,
        0.087029,
        0.0672539,
        0.0666428,
        0.0694734,
        0.0700625,
        0.0826934,
        0.0821316,
        0.0663592,
        0.068196,
        0.0692935,
        0.0690454,
        0.0674672,
        0.0671655,
        0.0667362,
        0.0670833,
        0.0671183,
        0.0675232,
        0.0673399,
        0.0692247,
        0.0669947,
        0.0683063,
        0.0677177,
        0.0688196,
        0.0692239,
        0.069722,
        0.0682843,
        0.0659244,
        0.0688819,
        0.0685513,
        0.0688567,
        0.0702476,
        0.0701376,
        0.0737565,
        0.0752274,
        0.0744063,
        0.07751,
        0.0799524,
        null,
        0.349146,
        0.300316,
        0.265048,
        0.252695,
        0.260214,
        0.284837,
        0.329929,
        0.313588,
        0.301209,
        0.310644,
        0.295297,
        0.279322,
        0.26336,
        0.234039,
        0.207295,
        0.220157,
        0.190989,
        0.188994,
        0.181738,
        0.1738,
        0.170808,
        0.161332,
        0.164414,
        0.166367,
        0.165086,
        0.162171,
        0.154994,
        0.148468,
        0.145469,
        0.139895,
        0.142424,
        0.156887,
        0.143356,
        0.144372,
        0.148484,
        0.139889,
        0.130926,
        0.138518,
        0.130963,
        0.13417,
        0.135191,
        0.132431,
        0.129584,
        0.136326,
        0.134415,
        0.126031,
        0.122811,
        0.126832,
        0.127001,
        0.123707,
        0.119917,
        0.120278,
        0.124835,
        0.123206,
        0.116599,
        0.119524,
        0.120834,
        0.116565,
        0.119479,
        0.12499,
        0.118157,
        0.118292,
        0.118001,
        0.113146,
        0.116982,
        0.114988,
        0.112929,
        0.114218,
        0.109884,
        0.113348,
        0.118037,
        0.111816,
        0.11401,
        0.109325,
        0.112449,
        0.10828,
        0.110598,
        0.115259,
        0.113995,
        0.107715,
        0.105346,
        0.1065,
        0.106765,
        0.114921,
        0.115311,
        0.119132,
        0.134635,
        0.126687,
        0.133641,
        0.142242,
        0.142212,
        0.167548,
        0.165606,
        0.157821,
        0.1543,
        0.153382,
        0.141486,
        0.135405,
        0.133336,
        0.121493,
        0.119624,
        0.116094,
        0.117768,
        0.114643,
        0.111338,
        0.113028,
        0.110019,
        0.111111,
        0.10607,
        0.106808,
        0.109372,
        0.113124,
        0.109479,
        0.108449,
        0.109118,
        0.108335,
        0.111314,
        0.109515,
        0.110583,
        0.119989,
        0.111543,
        0.107139,
        0.105142,
        0.10001,
        0.101912,
        0.10403,
        0.103706,
        0.105669,
        0.103544,
        0.10864,
        0.110061,
        0.108078,
        0.110468,
        0.106597,
        0.104876,
        0.104741,
        0.103695,
        0.102997,
        0.105202,
        0.106531,
        0.10038,
        0.101176,
        0.099178,
        0.100863,
        0.099842,
        0.101443,
        0.102292,
        0.105059,
        0.0997895,
        0.100698,
        0.103605,
        0.103228,
        0.106372,
        0.103457,
        0.104011,
        0.107474,
        0.105326,
        0.103245,
        0.106658,
        0.109281,
        0.109659,
        0.109253,
        0.110647,
        0.11244,
        0.113807,
        0.110369,
        0.109569,
        0.110848,
        0.11349,
        0.114734,
        0.113582,
        0.112636,
        0.116841,
        0.128104,
        0.123038,
        0.128963,
        0.130329,
        0.134645,
        0.138081,
        0.141522,
        0.166727,
        0.17283,
        0.217661,
        0.261419,
        0.24043,
        0.214884,
        0.1912,
        0.177385,
        0.159527,
        0.159572,
        0.15071,
        0.137665,
        0.145295,
        0.160297,
        0.162259,
        0.12449,
        0.11861,
        0.120294,
        0.128479,
        0.128622,
        0.132941,
        0.127572,
        0.157674,
        0.152525,
        0.121934,
        0.130332,
        0.136952,
        0.129672,
        0.125049,
        0.122576,
        0.127444,
        0.12849,
        0.12815,
        0.131987,
        0.134402,
        0.14124,
        0.136352,
        0.149246,
        0.158606,
        0.149948,
        0.158015,
        0.179014,
        0.195376,
        0.184956,
        0.189693,
        0.209848,
        0.214321,
        0.253634,
        0.266889,
        0.300012,
        0.24571,
        0.242129,
        0.24072,
        0.198834,
        0.190407,
        0.183442,
        0.186342,
        0.189409,
        0.197569,
        0.19307,
        0.189715,
        0.190465,
        0.213238,
        0.224946,
        0.274643,
        0.264293,
        0.218038,
        0.209757,
        0.197812,
        0.196842,
        0.177108,
        0.181081,
        0.176889,
        0.169672,
        0.180883,
        0.187867,
        0.20296,
        0.185353,
        0.190549,
        0.18847,
        0.202586,
        0.188941,
        0.185302,
        0.19381,
        0.203812,
        0.19988,
        0.199542,
        0.190676,
        0.200574,
        0.214616,
        0.21508,
        0.228206,
        0.240417,
        0.207551,
        0.211132,
        0.219189,
        0.220769,
        0.231817,
        0.243009,
        0.246395,
        0.239086,
        0.259624,
        0.275915,
        0.293531,
        0.260642,
        0.270592,
        0.286453,
        0.285555,
        0.321298,
        0.315288,
        0.301258,
        null,
        0.267654,
        0.254834,
        0.277651,
        0.291649,
        0.269793,
        0.286279,
        0.258779,
        0.279295,
        0.261739,
        0.248674,
        0.243921,
        0.218843,
        0.241032,
        0.240043,
        0.235503,
        0.230522,
        0.218362,
        0.192623,
        0.231575,
        0.218482,
        0.231259,
        0.216323,
        0.205466,
        0.213097,
        0.209159,
        0.196548,
        0.199537,
        0.189135,
        0.192246,
        0.181592,
        0.187714,
        0.178313,
        0.178492,
        0.209911,
        0.199199,
        0.193479,
        0.198943,
        0.175098,
        0.172127,
        0.175622,
        0.169384,
        0.174164,
        0.155304,
        0.151034,
        0.159636,
        0.158425,
        0.166153,
        0.150366,
        0.169305,
        0.156897,
        0.14833,
        0.156012,
        0.152949,
        0.152669,
        0.147635,
        0.158878,
        0.144519,
        0.148106,
        0.145375,
        0.145174,
        0.147351,
        0.139056,
        0.139149,
        0.138014,
        0.128786,
        0.132113,
        0.133569,
        0.135495,
        0.13597,
        0.130033,
        0.12798,
        0.131817,
        0.125878,
        0.126409,
        0.121142,
        0.119466,
        0.121686,
        0.116511,
        0.119294,
        0.120125,
        0.122006,
        0.113255,
        0.116113,
        0.113503,
        0.118461,
        0.117415,
        0.112448,
        0.117782,
        0.113359,
        0.119448,
        0.118254,
        0.120332,
        0.116871,
        0.113673,
        0.11247,
        0.120164,
        0.119627,
        0.116454,
        0.112409,
        0.113913,
        0.110391,
        0.145384,
        0.148482,
        0.118537,
        0.114031,
        0.116767,
        0.111807,
        0.113909,
        0.107791,
        0.109241,
        0.109297,
        0.110701,
        0.111318,
        0.112102,
        0.128569,
        0.133973,
        0.111481,
        0.108076,
        0.107197,
        0.111779,
        0.109414,
        0.103907,
        0.106239,
        0.112055,
        0.1147,
        0.11898,
        0.107186,
        0.109965,
        0.101792,
        0.100948,
        0.105403,
        0.102564,
        0.104931,
        0.102091,
        0.103024,
        0.106175,
        0.103453,
        0.0993578,
        0.0954386,
        0.104186,
        0.104644,
        0.0995824,
        0.101356,
        0.0973425,
        0.100758,
        0.103677,
        0.108148,
        0.105449,
        0.105932,
        0.112732,
        0.120418,
        0.126056,
        0.131153,
        0.13924,
        0.149698,
        0.157479,
        0.190558,
        0.232679,
        0.326753,
        0.27485,
        0.22413,
        0.212574,
        0.171988,
        0.155769,
        0.137767,
        0.130062,
        0.121735,
        0.117824,
        0.116527,
        0.107233,
        0.105274,
        0.10552,
        0.104929,
        0.103013,
        0.101694,
        0.100809,
        0.103677,
        0.100657,
        0.0933603,
        0.0983288,
        0.0942653,
        0.0940401,
        0.0946323,
        0.0936158,
        0.095087,
        0.0967362,
        0.0962653,
        0.101744,
        0.113663,
        0.121363,
        0.13402,
        0.148358,
        0.131146,
        0.121086,
        0.110607,
        0.106931,
        0.112534,
        0.122925,
        0.157177,
        0.197136,
        0.201159,
        0.190736,
        0.158513,
        0.126645,
        0.111582,
        0.112856,
        0.0896734,
        0.0890563,
        0.0859491,
        0.0843439,
        0.0867641,
        0.0837501,
        0.0809383,
        0.0834108,
        0.0824975,
        0.0797852,
        0.0814704,
        0.0812307,
        0.0782528,
        0.0787146,
        0.0796859,
        0.0791415,
        0.079875,
        0.0799298,
        0.0767387,
        0.0795612,
        0.0810045,
        0.0824112,
        0.0832902,
        0.082836,
        0.0831197,
        0.0828621,
        0.0789362,
        0.0830704,
        0.0829826,
        0.0823421,
        0.0790995,
        0.079882,
        0.0826695,
        0.0833289,
        0.0838766,
        0.104454,
        0.106877,
        0.0820647,
        0.0815661,
        0.0828442,
        0.0830087,
        0.0808342,
        0.081388,
        0.0788301,
        0.0805549,
        0.0840183,
        0.0831264,
        0.0822427,
        0.0815164,
        0.0808236,
        0.0823247,
        0.0861232,
        0.0847613,
        0.0819882,
        0.0829435,
        0.0823681,
        0.0828085,
        0.0889647,
        0.0880558,
        0.088437,
        0.0889921,
        0.0876395,
        0.0937947,
        0.09813,
        0.103291,
        0.112427,
        0.12516,
        0.148043,
        0.177564,
        0.201657,
        0.158269,
        0.129914,
        0.119732,
        0.10871,
        0.0988183,
        0.0944269,
        0.0916129,
        0.0889931,
        0.0848348,
        0.0833043,
        0.0829954,
        0.0847483,
        0.0883579,
        0.08571,
        0.0841653,
        0.079646,
        0.0947092,
        0.0995312,
        0.0835988,
        0.0784393,
        0.0791276,
        0.0761879,
        0.0811543,
        0.0803857,
        0.0784017,
        0.0791236,
        0.0785871,
        0.0775435,
        0.0750889,
        0.0825905,
        0.0857727,
        0.0795236,
        0.0794829,
        0.0795933,
        0.0796605,
        0.0784645,
        0.0775003,
        0.0766223,
        0.0781157,
        0.0812967,
        0.0819183,
        0.0842095,
        0.0851872,
        0.0849082,
        0.080708,
        0.0821543,
        0.0891435,
        0.0910187,
        0.0838077,
        0.0862628,
        0.0887269,
        0.0930065,
        0.0927231,
        0.097385,
        0.104964,
        0.115985,
        0.124804,
        0.138834,
        0.146241,
        0.161451,
        0.198563,
        0.310375,
        0.254727,
        0.225403,
        0.206397,
        0.194576,
        0.182147,
        0.189843,
        0.211999,
        0.22551,
        0.207064,
        0.192683,
        0.181991,
        0.178691,
        0.158806,
        0.160365,
        0.135987,
        0.12398,
        0.112952,
        0.106349,
        0.102712,
        0.0981243,
        0.0948437,
        0.0909342,
        0.0870051,
        0.0861185,
        0.0859689,
        0.0837695,
        0.079418,
        0.0793529,
        0.0812806,
        0.0798453,
        0.0812826,
        0.0785075,
        0.075989,
        0.0772543,
        0.0773859,
        0.0737494,
        0.0749714,
        0.074392,
        0.0789693,
        0.0732396,
        0.0731,
        0.0759705,
        0.073533,
        0.0726846,
        0.0715657,
        0.0713701,
        0.07124,
        0.0710774,
        0.0710185,
        0.0698198,
        0.0702035,
        0.069272,
        0.0686139,
        0.0682811,
        0.0706109,
        0.0728416,
        0.0721147,
        0.0698622,
        0.0711752,
        0.0708148,
        0.0668166,
        0.0671947,
        0.0685264,
        0.0709674,
        0.0681177,
        0.070527,
        0.068863,
        0.0664468,
        0.0676779,
        0.0691698,
        0.0688961,
        0.078175,
        0.078383,
        0.0684713,
        0.0676166,
        0.0688894,
        0.0707645,
        0.0686375,
        0.0690422,
        0.0706831,
        0.0701678,
        0.0684478,
        0.0689498,
        0.0707122,
        0.070297,
        0.0690182,
        0.0713096,
        0.0714012,
        0.0693694,
        0.0705531,
        0.0715287,
        0.0698915,
        0.0703566,
        0.071559,
        0.0727693,
        0.0724328,
        0.0737569,
        0.073449,
        0.071678,
        0.0739275,
        0.0734306,
        0.0720229,
        0.0716713,
        0.0730182,
        0.0725243,
        0.0736191,
        0.0730256,
        0.0721794,
        0.0730637,
        0.0727691,
        0.0732366,
        0.0724895,
        0.071919,
        0.0726821,
        0.0714797,
        0.0730047,
        0.0707462,
        0.0719837,
        0.0709157,
        0.0744395,
        0.0708619,
        0.0741067,
        0.073623,
        0.0703638,
        0.0690489,
        0.0715177,
        0.0734853,
        0.0755122,
        0.0712963,
        0.0728659,
        0.0710887,
        0.0709761,
        0.0718971,
        0.0729359,
        0.0721963,
        0.0726357,
        0.0747681,
        0.0745391,
        0.0707622,
        0.0721739,
        0.0764833,
        0.0768564,
        0.0748805,
        0.0756825,
        0.0766286,
        0.0774417,
        0.0763201,
        0.074869,
        0.0753949,
        0.0881725,
        0.0861931,
        0.0772738,
        0.0787803,
        0.0781349,
        0.079051,
        0.0809915,
        0.0802211,
        0.081597,
        0.084061,
        0.0809536,
        0.0945681,
        0.0916684,
        0.0802599,
        0.0831367,
        0.0849034,
        0.0851973,
        0.0891835,
        0.0869636,
        0.0841554,
        0.0862503,
        0.0906751,
        0.109892,
        0.112799,
        0.0934783,
        0.097056,
        0.101203,
        0.109903,
        0.114959,
        0.119146,
        0.125716,
        0.138316,
        0.162006,
        0.167196,
        0.201749,
        0.248376,
        0.258223,
        0.281036,
        0.23128,
        0.194721,
        0.160602,
        0.145242,
        0.130108,
        0.122883,
        0.115677,
        0.105934,
        0.10257,
        0.0981128,
        0.0937525,
        0.0928521,
        0.0904555,
        0.0851161,
        0.0853108,
        0.0888631,
        0.0907606,
        0.0838874,
        0.0865668,
        0.0850988,
        0.0829747,
        0.0849703,
        0.0844917,
        0.0850925,
        0.0932069,
        0.0930747,
        0.0849428,
        0.0848425,
        0.085252,
        0.0837669,
        0.0854349,
        0.083869,
        0.0855853,
        0.0847991,
        0.0823508,
        0.0848541,
        0.0846391,
        0.0833407,
        0.0848524,
        0.0868957,
        0.0855126,
        0.0820729,
        0.0850694,
        0.0842296,
        0.0813778,
        0.0823991,
        0.0852562,
        0.0917806,
        0.0961922,
        0.0846763,
        0.086153,
        0.0848765,
        0.0853266,
        0.0846606,
        0.0857513,
        0.0866718,
        0.0845668,
        0.0849649,
        0.0875392,
        0.0878258,
        0.0881351,
        0.0849459,
        0.0863203,
        0.0856735,
        0.0861133,
        0.0869627,
        0.0875741,
        0.0873127,
        0.0872482,
        0.0869978,
        0.0876182,
        0.0888235,
        0.0906702,
        0.0955396,
        0.0959404,
        0.0954437,
        0.101889,
        0.110095,
        0.11409,
        0.115358,
        0.129391,
        0.126172,
        0.115704,
        0.114042,
        0.112754,
        0.114446,
        0.112582,
        0.106116,
        0.102062,
        0.0992489,
        0.0996305,
        0.0996888,
        0.100705,
        0.0996511,
        0.0931922,
        0.0938898,
        0.0944361,
        0.0958378,
        0.0973779,
        0.0919526,
        0.0976793,
        0.10091,
        0.0944416,
        0.0922661,
        0.09827,
        0.100392,
        0.0952671,
        0.0976023,
        0.0968094,
        0.0981574,
        0.102878,
        0.100132,
        0.102362,
        0.0981584,
        0.0929916,
        0.100067,
        0.0999837,
        0.0998697,
        0.0990438,
        0.101247,
        0.105083,
        0.104949,
        0.0974657,
        0.100412,
        0.0993658,
        0.102121,
        0.10195,
        0.104568,
        0.10637,
        0.106677,
        0.100351,
        0.100401,
        0.0992363,
        0.0996525,
        0.101342,
        0.100954,
        0.0980955,
        0.0983531,
        0.103523,
        0.105407,
        0.106656,
        0.104107,
        0.111637,
        0.106164,
        0.103378,
        0.107493,
        0.107927,
        0.107017,
        0.110385,
        0.109566,
        0.104919,
        0.10872,
        0.11262,
        0.111353,
        0.10839,
        0.116326,
        0.116856,
        0.111056,
        0.115665,
        0.114758,
        0.111843,
        0.112771,
        0.115668,
        0.122996,
        0.124147,
        0.121325,
        0.121076,
        0.121569,
        0.124036,
        0.121609,
        0.120575,
        0.127575,
        0.132991,
        0.128689,
        0.132037,
        0.135841,
        0.12848,
        0.139063,
        0.146877,
        0.150909,
        0.160789,
        0.168565,
        0.155911,
        0.17565,
        0.189394,
        0.199575,
        0.206283,
        0.221642,
        0.220572,
        0.336989,
        0.323614,
        0.264072,
        0.254297,
        0.220181,
        0.231842,
        0.241376,
        0.187163,
        0.179754,
        0.184831,
        0.20747,
        0.207121,
        0.170204,
        0.168937,
        0.187219,
        0.18393,
        0.186231,
        0.182492,
        0.185479,
        0.182061,
        0.171041,
        0.181796,
        0.217096,
        0.212804,
        0.204562,
        0.216299,
        0.244474,
        0.215103,
        0.19468,
        0.185596,
        0.211313,
        0.213573,
        0.238145,
        0.218159,
        0.246683,
        0.277405,
        0.230424,
        0.244258,
        0.30174,
        0.289794,
        0.317306,
        0.349665,
        null,
        0.304915,
        0.300522,
        0.315645,
        0.293159,
        0.288542,
        0.307489,
        0.299262,
        0.286889,
        0.2972,
        0.279131,
        0.271989,
        0.240417,
        0.246579,
        0.268851,
        0.237684,
        0.227678,
        0.234566,
        0.240156,
        0.254812,
        0.232884,
        0.252948,
        0.229804,
        0.231497,
        0.222522,
        0.260717,
        0.249248,
        0.236016,
        0.231115,
        0.225745,
        0.217264,
        0.231659,
        0.236706,
        0.226013,
        0.214205,
        0.205075,
        0.207925,
        0.215885,
        0.212846,
        0.213497,
        0.213144,
        0.214016,
        0.205968,
        0.197054,
        0.2043,
        0.210731,
        0.217038,
        0.221699,
        0.206807,
        0.206922,
        0.19397,
        0.195562,
        0.197293,
        0.189138,
        0.18902,
        0.193549,
        0.18488,
        0.179179,
        0.189996,
        0.186496,
        0.184122,
        0.193664,
        0.194218,
        0.200938,
        0.189837,
        0.185964,
        0.207048,
        0.202905,
        0.197108,
        0.195898,
        0.185935,
        0.190672,
        0.198675,
        0.185626,
        0.19778,
        0.19735,
        0.181219,
        0.193179,
        0.207486,
        0.227326,
        0.225107,
        0.204153,
        0.198671,
        0.210322,
        0.224537,
        0.251914,
        0.227762,
        0.220377,
        0.210814,
        0.221223,
        0.231779,
        0.240302,
        0.247033,
        0.21671,
        0.22892,
        0.248734,
        0.241859,
        0.247946,
        0.259266,
        0.248572,
        0.251804,
        0.274636,
        0.300647,
        0.288268,
        0.281651,
        0.266497,
        0.281806
    ]
}