GET /api/ishell_4516nm_5240nm_vstar_dk_tau/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.516350651019693,
        4.5163706765371066,
        4.516410727571933,
        4.516450778606759,
        4.516470804124173,
        4.516490829641586,
        4.516510855158999,
        4.516551382991858,
        4.516571408509272,
        4.516591434026685,
        4.516611459544098,
        4.5166515105789244,
        4.516671536096338,
        4.516691561613751,
        4.516711587131164,
        4.516731612648577,
        4.5167516381659905,
        4.516771663683404,
        4.516791689200817,
        4.51681171471823,
        4.516831740235643,
        4.5168517657530565,
        4.51687179127047,
        4.516891816787884,
        4.516911842305297,
        4.51693186782271,
        4.516951893340123,
        4.516971918857537,
        4.51699194437495,
        4.517011969892363,
        4.517052020927189,
        4.517132122996842,
        4.517192199549082,
        4.517232250583908,
        4.517252276101321,
        4.517272301618735,
        4.517292327136148,
        4.517312352653561,
        4.517332378170974,
        4.517352403688387,
        4.517372429205801,
        4.51743250575804,
        4.517452531275453,
        4.517472556792867,
        4.517612258616725,
        4.5176523096515515,
        4.518090963842508,
        4.518110989359921,
        4.518131014877334,
        4.518330316455399,
        4.518369890692192,
        4.518389916209605,
        4.5184299672444315,
        4.51850959251605,
        4.5185291412354305,
        4.518549166752844,
        4.51858921778767,
        4.518608766507049,
        4.518648817541876,
        4.518668366261256,
        4.518688391778669,
        4.518708417296082,
        4.518747991532875,
        4.518788042567701,
        4.51880759128708,
        4.518827616804494,
        4.518847642321907,
        4.518867191041287,
        4.5188872165587,
        4.518907242076113,
        4.518926790795493,
        4.519026441584525,
        4.519045990303905,
        4.519066015821318,
        4.519086041338731,
        4.5191055900581105,
        4.519125615575524,
        4.519145641092937,
        4.519165189812317,
        4.51918521532973,
        4.5192047640491095,
        4.519244815083936,
        4.519264363803315,
        4.519284389320728,
        4.519304414838142,
        4.519323963557522,
        4.519383563311727,
        4.519403112031107,
        4.51942313754852,
        4.519443163065933,
        4.51993807942486,
        4.519977653661653,
        4.519997202381032,
        4.520017227898445,
        4.5200568021352385,
        4.520076350854618,
        4.520155499328204,
        4.520175524845617,
        4.520195073564996,
        4.520215099082409,
        4.520234647801789,
        4.520254196521169,
        4.520274222038582,
        4.520293770757961,
        4.520313796275374,
        4.5203333449947545,
        4.520353370512168,
        4.520372919231547,
        4.520392467950926,
        4.520452067705133,
        4.520471616424512,
        4.520491165143891,
        4.5205111906613045,
        4.520530739380685,
        4.520550764898098,
        4.520570313617477,
        4.520589862336856,
        4.5206098878542695,
        4.52062943657365,
        4.520649462091063,
        4.520669010810442,
        4.520688559529821,
        4.520708585047235,
        4.520728133766615,
        4.520747682485994,
        4.520767708003407,
        4.520787256722787,
        4.520806805442167,
        4.52082683095958,
        4.520846379678959,
        4.520865928398339,
        4.520885953915752,
        4.520905502635132,
        4.520925051354511,
        4.520945076871924,
        4.520964625591304,
        4.520984174310684,
        4.521004199828097,
        4.521023748547476,
        4.521043297266856,
        4.521063322784269,
        4.521082871503649,
        4.521102420223028,
        4.521121968942408,
        4.521220666135373,
        4.521240214854752,
        4.521338435249684,
        4.522025978014204,
        4.522045526733584,
        4.522065075452963,
        4.522104172891723,
        4.522124198409136,
        4.522182844567275,
        4.522221942006033,
        4.522241490725413,
        4.522261039444793,
        4.522300136883552,
        4.522320162400965,
        4.5223397111203445,
        4.522359259839725,
        4.522378808559104,
        4.522398357278483,
        4.522417905997863,
        4.522437454717243,
        4.522457003436622,
        4.522476552156002,
        4.522496100875381,
        4.5225156495947605,
        4.522535198314141,
        4.52255474703352,
        4.522574295752899,
        4.522593844472279,
        4.522613393191659,
        4.522632941911038,
        4.522652490630418,
        4.522672039349797,
        4.5226915880691765,
        4.522711136788557,
        4.522730685507936,
        4.522750234227315,
        4.522769782946695,
        4.5227893316660746,
        4.522808880385454,
        4.522828429104834,
        4.522847977824213,
        4.5228675265435925,
        4.522887075262973,
        4.522906623982352,
        4.522926172701732,
        4.522945721421111,
        4.5229652701404905,
        4.522984818859871,
        4.52300436757925,
        4.523023916298629,
        4.523043465018009,
        4.523063013737389,
        4.523082562456768,
        4.523102111176148,
        4.523121659895527,
        4.5231412086149065,
        4.523180306053666,
        4.523199854773045,
        4.523219403492425,
        4.523238952211805,
        4.523258024133151,
        4.523336219010669,
        4.523355767730048,
        4.5234921319676715,
        4.523862127241783,
        4.523901224680541,
        4.523978942760026,
        4.523998491479406,
        4.5240180401987855,
        4.524037112120132,
        4.524056660839511,
        4.52411530699765,
        4.524134378918996,
        4.524153927638375,
        4.524173476357754,
        4.5241930250771345,
        4.52421209699848,
        4.52423164571786,
        4.524251194437239,
        4.5242707431566185,
        4.524289815077965,
        4.524309363797344,
        4.524328912516724,
        4.524348461236103,
        4.5243675331574496,
        4.524387081876829,
        4.524406630596208,
        4.524425702517554,
        4.5244452512369335,
        4.524464799956314,
        4.524484348675693,
        4.524503420597039,
        4.524522969316418,
        4.524542518035798,
        4.524561589957144,
        4.524581138676524,
        4.524600687395903,
        4.5246197593172495,
        4.524639308036629,
        4.524658856756008,
        4.524677928677354,
        4.5246974773967334,
        4.524717026116114,
        4.524736098037459,
        4.524755646756839,
        4.524775195476218,
        4.5247942673975645,
        4.524813816116944,
        4.524833364836323,
        4.524852436757669,
        4.5248719854770485,
        4.524891534196429,
        4.524910606117774,
        4.524930154837154,
        4.524949703556533,
        4.52496877547788,
        4.524988324197259,
        4.525007396118605,
        4.525026944837984,
        4.5250464935573635,
        4.52506556547871,
        4.525085114198089,
        4.525104186119435,
        4.525143283558195,
        4.525162355479541,
        4.525780762529182,
        4.525800311248561,
        4.525819383169908,
        4.525838931889287,
        4.525877552530012,
        4.5258966244513585,
        4.525916173170738,
        4.525954793811463,
        4.5259738657328095,
        4.52603155829488,
        4.52605110701426,
        4.526070178935606,
        4.526147420217057,
        4.526166492138403,
        4.526186040857782,
        4.526205112779128,
        4.5262241847004745,
        4.526243733419854,
        4.5262628053412,
        4.526282354060579,
        4.526301425981925,
        4.526320497903272,
        4.526340046622651,
        4.526359118543997,
        4.526378667263376,
        4.5263977391847225,
        4.526416811106068,
        4.526436359825448,
        4.526455431746793,
        4.5264745036681395,
        4.526494052387519,
        4.526513124308865,
        4.526532673028244,
        4.5265517449495905,
        4.526570816870937,
        4.526590365590316,
        4.526609437511662,
        4.526628509433007,
        4.526648058152388,
        4.526667130073733,
        4.526686201995079,
        4.526705750714458,
        4.526724822635805,
        4.526743894557151,
        4.52676344327653,
        4.526782515197876,
        4.526801587119222,
        4.526820659040568,
        4.526840207759948,
        4.526859279681293,
        4.526878351602639,
        4.526897900322019,
        4.526916972243365,
        4.526936044164711,
        4.526955116086056,
        4.5269746648054365,
        4.526993736726782,
        4.527012808648128,
        4.527032357367507,
        4.5270514292888535,
        4.5270705012102,
        4.527147265693617,
        4.527166337614963,
        4.527760427964888,
        4.5277794998862335,
        4.527799048605614,
        4.527818120526959,
        4.527837192448305,
        4.527894408212343,
        4.527913480133689,
        4.527932552055035,
        4.527951623976381,
        4.527971172695761,
        4.527990244617106,
        4.528009316538452,
        4.5280283884597985,
        4.528047460381144,
        4.52806653230249,
        4.528085604223836,
        4.5281046761451815,
        4.528123748066528,
        4.528142819987874,
        4.528161891909219,
        4.528181440628599,
        4.528200512549945,
        4.528219584471291,
        4.528238656392637,
        4.528257728313982,
        4.528276800235329,
        4.528295872156675,
        4.52831494407802,
        4.528334015999366,
        4.528353087920713,
        4.528372159842058,
        4.528391231763404,
        4.52841030368475,
        4.5284293756060965,
        4.528448447527442,
        4.528467519448788,
        4.528486591370134,
        4.5285056632914795,
        4.528524735212826,
        4.528543807134172,
        4.528562879055517,
        4.5285819509768634,
        4.52860102289821,
        4.528620094819555,
        4.528639166740901,
        4.528658238662247,
        4.528677310583593,
        4.528696382504939,
        4.528715454426285,
        4.52873452634763,
        4.528753598268977,
        4.528772670190323,
        4.528791742111668,
        4.528810814033014,
        4.5288298859543605,
        4.528848957875706,
        4.528868029797052,
        4.528887101718398,
        4.528906173639744,
        4.52892524556109,
        4.528944317482436,
        4.528963389403782,
        4.529115487976515,
        4.529134559897861,
        4.529761549312108,
        4.529780621233455,
        4.529818288278112,
        4.529837360199458,
        4.529856432120805,
        4.529875027244117,
        4.529894099165462,
        4.529913171086808,
        4.529932243008155,
        4.5299513149295,
        4.529969910052812,
        4.529988981974158,
        4.5300080538955045,
        4.530027125816851,
        4.530045720940163,
        4.530064792861508,
        4.5300838647828545,
        4.530102936704201,
        4.530121531827513,
        4.530140603748858,
        4.5301596756702045,
        4.530178270793517,
        4.530197342714863,
        4.530216414636208,
        4.5302354865575545,
        4.530254081680867,
        4.530273153602213,
        4.530292225523558,
        4.5303108206468705,
        4.530329892568217,
        4.530348964489563,
        4.530368036410908,
        4.5303866315342205,
        4.530405703455567,
        4.530424775376913,
        4.530443370500225,
        4.5304624424215705,
        4.530481514342917,
        4.530500109466229,
        4.530519181387575,
        4.5305382533089205,
        4.530556848432233,
        4.530575920353579,
        4.530594992274925,
        4.530613587398237,
        4.530632659319584,
        4.530651731240929,
        4.530670326364241,
        4.5307079934089,
        4.530746137251591,
        4.530764732374903,
        4.53078380429625,
        4.530802876217596,
        4.530821471340908,
        4.530840543262253,
        4.530859138385566,
        4.530878210306912,
        4.530897282228258,
        4.53091587735157,
        4.530953544396228,
        4.530972616317574,
        4.53099168823892,
        4.5310102833622325,
        4.53104795040689,
        4.531123761294241,
        4.531707362087426,
        4.531726434008772,
        4.531745029132084,
        4.5317641010534295,
        4.531782696176742,
        4.5318394351427465,
        4.531858030266059,
        4.531876625389371,
        4.531895697310716,
        4.5319142924340285,
        4.531933364355375,
        4.531971031400033,
        4.5319896265233455,
        4.532008221646658,
        4.532045888691315,
        4.532083555735974,
        4.532102150859286,
        4.532121222780632,
        4.5321398179039445,
        4.532158413027257,
        4.532177484948602,
        4.532196080071914,
        4.5322151519932605,
        4.532233747116573,
        4.532252342239885,
        4.532271414161231,
        4.5322900092845435,
        4.532308604407856,
        4.532327676329202,
        4.532346271452514,
        4.5323653433738595,
        4.532383938497172,
        4.532402533620484,
        4.53242160554183,
        4.5324402006651425,
        4.532458795788455,
        4.532496462833113,
        4.5325150579564255,
        4.532534129877771,
        4.532589915247708,
        4.532646177415678,
        4.5326652493370245,
        4.532683844460337,
        4.532702439583649,
        4.532721511504994,
        4.532740106628307,
        4.53275870175162,
        4.532777296874932,
        4.532796368796277,
        4.53281496391959,
        4.532833559042902,
        4.532852154166214,
        4.532889821210873,
        4.532908416334185,
        4.532927011457497,
        4.532946083378843,
        4.532964678502156,
        4.532983273625468,
        4.53300186874878,
        4.533076726040062,
        4.533095797961408,
        4.533114393084721,
        4.533170178454657,
        4.533189250376004,
        4.533207845499316,
        4.533226440622628,
        4.533749011267506,
        4.533768083188852,
        4.533786678312164,
        4.533805273435476,
        4.533823868558788,
        4.533842463682101,
        4.533861058805414,
        4.533879653928726,
        4.533898249052038,
        4.533935439298663,
        4.533954034421975,
        4.53397310634332,
        4.533991701466633,
        4.534010296589945,
        4.534028891713257,
        4.534047486836569,
        4.534066081959882,
        4.534084677083194,
        4.534103272206506,
        4.5341218673298185,
        4.534140462453131,
        4.534159057576443,
        4.534177652699755,
        4.534233438069692,
        4.534252033193004,
        4.5342706283163166,
        4.534289223439629,
        4.534307818562941,
        4.534363603932878,
        4.53438219905619,
        4.534400794179503,
        4.5344193893028155,
        4.534437984426128,
        4.53445657954944,
        4.534475174672752,
        4.5344937697960646,
        4.534512364919377,
        4.534530960042689,
        4.534549555166001,
        4.534568150289314,
        4.534586745412626,
        4.534605340535938,
        4.53462393565925,
        4.534642530782563,
        4.534661125905875,
        4.534679721029187,
        4.534698316152499,
        4.534716911275812,
        4.534735506399124,
        4.534754101522436,
        4.5347726966457484,
        4.534791291769061,
        4.534809410094339,
        4.534828005217651,
        4.5348466003409635,
        4.534865195464276,
        4.534883790587588,
        4.5349023857109,
        4.534920980834213,
        4.534939575957525,
        4.534958171080837,
        4.534976766204149,
        4.534995361327462,
        4.535013956450774,
        4.535032074776053,
        4.535050669899365,
        4.535106455269302,
        4.535125050392614,
        4.535143645515927,
        4.53564332985519,
        4.535735828673717,
        4.535754423797029,
        4.535772542122308,
        4.53579113724562,
        4.535809732368932,
        4.535828327492244,
        4.535846445817524,
        4.535865040940836,
        4.535883636064148,
        4.53590223118746,
        4.535920349512739,
        4.535938944636051,
        4.536086752026482,
        4.536105347149794,
        4.536123465475073,
        4.536142060598385,
        4.536160655721697,
        4.536178774046976,
        4.536197369170289,
        4.536215964293601,
        4.536234559416913,
        4.536252677742191,
        4.536271272865504,
        4.536289867988816,
        4.536307986314094,
        4.5363265814374065,
        4.536345176560719,
        4.536363294885998,
        4.53638189000931,
        4.5364004851326225,
        4.536418603457901,
        4.536437198581213,
        4.536455793704525,
        4.536473912029804,
        4.536492507153116,
        4.536510625478395,
        4.536529220601707,
        4.53654781572502,
        4.536565934050298,
        4.53658452917361,
        4.5366031242969225,
        4.536621242622202,
        4.536639837745514,
        4.536657956070792,
        4.5366765511941045,
        4.536695146317417,
        4.536713264642695,
        4.536731859766007,
        4.5367499780912866,
        4.536768573214599,
        4.536787168337911,
        4.536805286663189,
        4.536823881786502,
        4.53684200011178,
        4.536860595235092,
        4.5368791903584045,
        4.536897308683684,
        4.536934022132274,
        4.5369526172555865,
        4.536970735580865,
        4.5370260441527686,
        4.537044639276081,
        4.537062757601359,
        4.537118066173262,
        4.537136184498541,
        4.537668291104092,
        4.537686886227404,
        4.537705004552683,
        4.537723599675996,
        4.537741718001274,
        4.537906690120916,
        4.537924808446195,
        4.537961521894785,
        4.5379796402200645,
        4.537998235343377,
        4.538016353668655,
        4.538034948791967,
        4.538053067117246,
        4.538071185442525,
        4.538089780565837,
        4.538107898891115,
        4.538126017216394,
        4.538144612339706,
        4.538162730664985,
        4.5381808489902635,
        4.538199444113576,
        4.538217562438854,
        4.538235680764133,
        4.538254275887446,
        4.538272394212724,
        4.538290512538003,
        4.538309107661315,
        4.538327225986594,
        4.538345344311872,
        4.538363939435184,
        4.538382057760463,
        4.538400176085742,
        4.538418771209054,
        4.538436889534332,
        4.5384550078596115,
        4.538473602982924,
        4.538491721308202,
        4.53850983963348,
        4.538528434756793,
        4.538546553082072,
        4.53856467140735,
        4.538601384855941,
        4.53861950318122,
        4.538637621506498,
        4.538656216629811,
        4.538674334955089,
        4.538692453280368,
        4.538710571605646,
        4.538729166728959,
        4.538747285054237,
        4.538765403379516,
        4.5387835217047945,
        4.538802116828107,
        4.538820235153386,
        4.538838353478664,
        4.538856471803943,
        4.538875066927255,
        4.538893185252534,
        4.538911303577812,
        4.538929421903091,
        4.53894754022837,
        4.538966135351682,
        4.5389842536769605,
        4.539002372002239,
        4.53903908545083,
        4.5390572037761086,
        4.539693729151028,
        4.539711847476307,
        4.539729965801586,
        4.5397843207774216,
        4.5398024391027,
        4.539820557427979,
        4.539839152551291,
        4.53985727087657,
        4.539893507527127,
        4.5399116258524055,
        4.539929744177685,
        4.539947862502963,
        4.539965980828241,
        4.5399840991535205,
        4.540002217478799,
        4.540020335804077,
        4.540038454129356,
        4.540056572454635,
        4.540074690779913,
        4.540092809105192,
        4.5401109274304705,
        4.540129045755749,
        4.540147164081028,
        4.540165282406306,
        4.540183400731585,
        4.540201519056864,
        4.540219637382142,
        4.5402377557074205,
        4.5402558740327,
        4.540273992357978,
        4.540292110683256,
        4.5403102290085355,
        4.540328347333814,
        4.540346465659092,
        4.540364583984371,
        4.54038270230965,
        4.540400820634928,
        4.540418938960207,
        4.5404370572854855,
        4.540455175610765,
        4.540473293936043,
        4.540491412261321,
        4.540509530586601,
        4.540527648911879,
        4.540545767237157,
        4.540563885562436,
        4.540582003887715,
        4.540600122212993,
        4.540618240538272,
        4.5406363588635505,
        4.540654477188829,
        4.540672118716074,
        4.540690237041352,
        4.540708355366632,
        4.54072647369191,
        4.540744592017188,
        4.5407627103424675,
        4.540780828667746,
        4.540798946993024,
        4.540817065318303,
        4.540835183643582,
        4.54085330196886,
        4.540870943496105,
        4.5408890618213835,
        4.540907180146663,
        4.540925298471941,
        4.540943416797219,
        4.540961535122499,
        4.540979653447777,
        4.540997771773056,
        4.541015890098334,
        4.54103353162558,
        4.541051649950858,
        4.541069768276136,
        4.5410878866014155,
        4.541106004926694,
        4.541124123251972,
        4.541142241577251,
        4.541250474730889,
        4.541268116258134,
        4.541286234583413,
        4.541772568577733,
        4.541808805228291,
        4.541826923553569,
        4.541844565080814,
        4.541880801731372,
        4.541898443258616,
        4.5419165615838955,
        4.541934679909174,
        4.541952798234452,
        4.541970439761697,
        4.541988558086976,
        4.542006676412255,
        4.542024317939499,
        4.542042436264778,
        4.542060554590057,
        4.542078196117302,
        4.54209631444258,
        4.5421144327678595,
        4.542132551093138,
        4.542150192620383,
        4.542168310945661,
        4.54218642927094,
        4.542204070798185,
        4.542222189123463,
        4.5422403074487425,
        4.542257948975987,
        4.542276067301266,
        4.542294185626544,
        4.54231182715379,
        4.542329945479068,
        4.542347587006313,
        4.542365705331592,
        4.54238382365687,
        4.542401465184115,
        4.5424195835093935,
        4.542437701834673,
        4.542455343361917,
        4.542473461687196,
        4.542491103214441,
        4.54250922153972,
        4.542527339864998,
        4.542544981392243,
        4.542563099717522,
        4.5425812180428,
        4.542598859570045,
        4.5426169778953245,
        4.542634619422569,
        4.542652737747848,
        4.542670856073126,
        4.542688497600372,
        4.54270661592565,
        4.542724257452895,
        4.5427423757781735,
        4.542760017305419,
        4.542778135630697,
        4.542796253955975,
        4.542813895483221,
        4.542832013808499,
        4.542849655335744,
        4.542867773661023,
        4.542885415188268,
        4.542903533513546,
        4.542921175040791,
        4.54293929336607,
        4.542957411691349,
        4.542975053218593,
        4.5429931715438725,
        4.543010813071117,
        4.543028931396396,
        4.5430465729236404,
        4.54306469124892,
        4.543082332776164,
        4.543100451101443,
        4.543118092628688,
        4.543136210953967,
        4.543153852481212,
        4.54317197080649,
        4.543189612333736,
        4.543261132038783,
        4.5433684115963535,
        4.543707891796311,
        4.543778934703324,
        4.5437970530286025,
        4.543814694555848,
        4.543868095935617,
        4.543885737462861,
        4.5439214973153845,
        4.543939615640664,
        4.543957257167908,
        4.543974898695153,
        4.543993017020432,
        4.544010658547677,
        4.544028300074922,
        4.5440464184002005,
        4.544064059927446,
        4.544082178252724,
        4.544099819779969,
        4.544117461307214,
        4.544135579632493,
        4.544153221159737,
        4.544170862686983,
        4.544188981012261,
        4.544206622539506,
        4.544224264066751,
        4.54424238239203,
        4.544260023919275,
        4.54427766544652,
        4.544295306973765,
        4.544313425299044,
        4.544331066826288,
        4.544348708353533,
        4.544366826678812,
        4.544384468206057,
        4.544402109733302,
        4.544420228058581,
        4.54445551111307,
        4.5444731526403155,
        4.544491270965594,
        4.544508912492839,
        4.544526554020084,
        4.544544672345363,
        4.544562313872608,
        4.544579955399852,
        4.5445975969270975,
        4.544615715252376,
        4.544633356779621,
        4.544650998306866,
        4.544668639834111,
        4.54468675815939,
        4.544704399686634,
        4.54472204121388,
        4.544739682741125,
        4.544757801066403,
        4.544775442593648,
        4.544793084120894,
        4.544810725648138,
        4.544828843973417,
        4.544846485500662,
        4.544864127027907,
        4.544881768555152,
        4.5448994100823965,
        4.544917528407676,
        4.54493516993492,
        4.544952811462165,
        4.544970452989411,
        4.544988094516655,
        4.545006212841934,
        4.5450238543691786,
        4.545041495896424,
        4.545059137423669,
        4.545076778950913,
        4.545094897276193,
        4.545112538803437,
        4.545130180330682,
        4.54534283225369,
        4.545360473780934,
        4.545378115308179,
        4.545395756835425,
        4.545484441269683,
        4.54594407457412,
        4.545996999155855,
        4.546014640683099,
        4.546032282210344,
        4.5460499237375895,
        4.546067565264834,
        4.546085206792079,
        4.546102848319324,
        4.546120489846569,
        4.546138131373814,
        4.546155772901059,
        4.546173414428304,
        4.546191055955549,
        4.546208697482794,
        4.546226339010039,
        4.546243980537284,
        4.546261622064529,
        4.5462792635917735,
        4.546296905119019,
        4.546314546646264,
        4.546332188173508,
        4.546349829700754,
        4.546367471227999,
        4.54638463595721,
        4.546402277484455,
        4.5464199190117,
        4.546437560538945,
        4.54645520206619,
        4.546472843593435,
        4.54649048512068,
        4.546508126647925,
        4.54652576817517,
        4.546543409702415,
        4.54656105122966,
        4.5465786927569045,
        4.54659633428415,
        4.546613975811395,
        4.546631617338639,
        4.546649258865885,
        4.546666423595096,
        4.546684065122341,
        4.546701706649586,
        4.546719348176831,
        4.546736989704076,
        4.5467546312313205,
        4.546772272758566,
        4.546789914285811,
        4.546807555813055,
        4.546825197340301,
        4.546842362069512,
        4.546860003596757,
        4.546877645124002,
        4.546895286651247,
        4.546912928178492,
        4.5469305697057365,
        4.546948211232982,
        4.546965852760227,
        4.546983017489438,
        4.547000659016684,
        4.547018300543928,
        4.547035942071173,
        4.5472290452748005,
        4.547281969856535,
        4.547299134585747,
        4.547316776112992,
        4.547334417640236,
        4.547352059167482,
        4.547369700694727,
        4.547386865423938,
        4.547404506951183,
        4.5474574315329175,
        4.547474596262129,
        4.547492237789374,
        4.547509879316619,
        4.547527520843865,
        4.548000027695209,
        4.548017669222454,
        4.548052475478911,
        4.548070117006155,
        4.5480877585334,
        4.548104923262612,
        4.548122564789857,
        4.548140206317102,
        4.5481573710463135,
        4.548175012573558,
        4.548192654100803,
        4.548209818830014,
        4.54822746035726,
        4.548245101884504,
        4.548262266613715,
        4.548279908140961,
        4.548297549668206,
        4.548314714397417,
        4.548332355924662,
        4.548349520653873,
        4.548367162181118,
        4.548384803708363,
        4.548401968437575,
        4.548419609964819,
        4.548437251492064,
        4.548454416221276,
        4.548472057748521,
        4.548489222477732,
        4.548506864004977,
        4.548524505532222,
        4.548541670261433,
        4.5485593117886784,
        4.54857647651789,
        4.548594118045134,
        4.548611759572379,
        4.548628924301591,
        4.548646565828836,
        4.548663730558047,
        4.5486813720852926,
        4.548698536814504,
        4.548716178341748,
        4.5487338198689935,
        4.548750984598205,
        4.54876862612545,
        4.548785790854661,
        4.548803432381906,
        4.548820597111117,
        4.548838238638362,
        4.548855403367574,
        4.548873044894819,
        4.54889020962403,
        4.548907851151275,
        4.548942657407731,
        4.548960298934976,
        4.548977463664188,
        4.5490470761771,
        4.549064717704345,
        4.549081882433557,
        4.549151494946469,
        4.549169136473714,
        4.549186301202925,
        4.549203942730171,
        4.549221107459382,
        4.549238748986626,
        4.549255913715838,
        4.549273555243083,
        4.549290719972294,
        4.5493083614995395,
        4.549325526228751,
        4.549342690957962,
        4.5493603324852065,
        4.549377497214418,
        4.549395138741663,
        4.549412303470874,
        4.54942994499812,
        4.549447109727331,
        4.549464751254575,
        4.549481915983787,
        4.549499557511032,
        4.549516722240243,
        4.549533886969455,
        4.549603499482367,
        4.549621141009612,
        4.549725082980948,
        4.550071715151409,
        4.550089356678654,
        4.550106521407866,
        4.550123686137077,
        4.550227628108412,
        4.550245269635657,
        4.5502624343648685,
        4.55027959909408,
        4.550296763823291,
        4.550314405350536,
        4.550331570079748,
        4.550348734808959,
        4.550366376336204,
        4.550383541065416,
        4.550400705794627,
        4.550418347321871,
        4.550435512051083,
        4.550452676780294,
        4.550469841509505,
        4.5504874830367505,
        4.550504647765962,
        4.550521812495173,
        4.5505389772243845,
        4.55055661875163,
        4.550573783480841,
        4.550590948210052,
        4.550608112939264,
        4.550625754466508,
        4.550642919195719,
        4.550660083924931,
        4.550677248654142,
        4.550694890181387,
        4.550712054910599,
        4.55072921963981,
        4.550746384369021,
        4.5507640258962665,
        4.550781190625478,
        4.550798355354689,
        4.5508155200839004,
        4.550832684813112,
        4.550970956242869,
        4.550988120972081,
        4.551005285701292,
        4.551074421416171,
        4.551108750874594,
        4.551126392401839,
        4.55114355713105,
        4.551160721860262,
        4.551177886589473,
        4.551195051318684,
        4.551212216047896,
        4.55122985757514,
        4.551247022304351,
        4.551264187033563,
        4.551281351762774,
        4.551298516491985,
        4.551315681221197,
        4.551332845950408,
        4.551350487477653,
        4.5513676522068645,
        4.551384816936076,
        4.551401981665287,
        4.551419146394498,
        4.55143631112371,
        4.551453475852921,
        4.551470640582132,
        4.551487805311344,
        4.551505446838589,
        4.5515226115678,
        4.551539776297012,
        4.551556941026223,
        4.551574105755434,
        4.5515912704846455,
        4.551608435213857,
        4.551625599943068,
        4.5516427646722795,
        4.551659929401491,
        4.551677094130702,
        4.551711900387159,
        4.55172906511637,
        4.551849218220849,
        4.552106689159019,
        4.552209677534287,
        4.552226842263498,
        4.552278336451132,
        4.552312665909555,
        4.552329830638766,
        4.552346995367977,
        4.552364160097189,
        4.5523813248264,
        4.552398489555611,
        4.552415654284823,
        4.552432819014034,
        4.552449983743245,
        4.552467148472457,
        4.552484313201668,
        4.552501001132846,
        4.552603989508114,
        4.552621154237325,
        4.552638318966537,
        4.552655483695748,
        4.552672648424959,
        4.552689813154171,
        4.552706501085348,
        4.552723665814559,
        4.552775160002193,
        4.552792324731405,
        4.552826654189827,
        4.5528438189190386,
        4.552860506850216,
        4.552877671579427,
        4.553031677344296,
        4.553048842073507,
        4.553066006802719,
        4.55308317153193,
        4.553099859463107,
        4.553117024192319,
        4.55313418892153,
        4.553151353650741,
        4.553168518379953,
        4.553185683109164,
        4.553202371040342,
        4.5532195357695535,
        4.553236700498765,
        4.553253865227976,
        4.5532710299571875,
        4.553287717888365,
        4.553304882617576,
        4.5533220473467875,
        4.553339212075999,
        4.55335637680521,
        4.5533730647363875,
        4.553390229465599,
        4.55340739419481,
        4.553424558924021,
        4.553441723653233,
        4.553458411584411,
        4.553475576313622,
        4.553492741042834,
        4.553509905772045,
        4.553526593703222,
        4.553543758432434,
        4.553560923161645,
        4.553578087890856,
        4.5535947758220345,
        4.553611940551246,
        4.553629105280457,
        4.5536462700096685,
        4.553662957940846,
        4.553680122670057,
        4.5536972873992685,
        4.55371445212848,
        4.553731140059657,
        4.554913360784088,
        4.556095581508518,
        4.556115607025931,
        4.5561561348587905,
        4.556176637174238,
        4.556459855206224,
        4.5564803575216715,
        4.556520885354532,
        4.556540910871945,
        4.556561413187391,
        4.5565814387048045,
        4.556601464222218,
        4.556621966537665,
        4.556682519887938,
        4.556703022203385,
        4.556723047720798,
        4.556824128903932,
        4.556925210087065,
        4.556945235604478,
        4.556965261121891,
        4.556985763437338,
        4.5570057889547515,
        4.557026291270199,
        4.557046316787612,
        4.557066342305025,
        4.557086844620471,
        4.5571068701378845,
        4.557126895655298,
        4.557147397970745,
        4.557167423488158,
        4.557187449005571,
        4.557207951321018,
        4.557227976838432,
        4.557248002355845,
        4.557268027873258,
        4.557288530188704,
        4.5573085557061175,
        4.557328581223531,
        4.557349083538978,
        4.557369109056391,
        4.557389134573804,
        4.557409636889251,
        4.557429662406665,
        4.557449687924078,
        4.557469713441491,
        4.557490215756938,
        4.557510241274351,
        4.5575302667917645,
        4.557550292309178,
        4.557570794624624,
        4.557590820142037,
        4.55761084565945,
        4.557630871176864,
        4.557651373492311,
        4.557671399009724,
        4.557691424527137,
        4.55771145004455,
        4.5577319523599975,
        4.557751977877411,
        4.557772003394824,
        4.557792028912237,
        4.55781205442965,
        4.557832556745097,
        4.55785258226251,
        4.557872607779923,
        4.557892633297336,
        4.557912658814749,
        4.5579331611301965,
        4.55795318664761,
        4.557973212165023,
        4.557993237682436,
        4.558013263199849,
        4.5580337655152965,
        4.55805379103271,
        4.558073816550123,
        4.558093842067536,
        4.558113867584949,
        4.5581338931023625,
        4.558153918619776,
        4.558174420935223,
        4.558194446452636,
        4.558214471970049,
        4.5582344974874625,
        4.558254523004876,
        4.558294574039702,
        4.558495782809901,
        4.5588366934039595,
        4.558956846508439,
        4.558976872025852,
        4.558996897543265,
        4.559016923060678,
        4.5590369485780915,
        4.559056974095505,
        4.559076999612918,
        4.559097025130331,
        4.559117050647744,
        4.5591370761651575,
        4.559157101682571,
        4.559177127199984,
        4.559197152717397,
        4.559216701436777,
        4.5592367269541905,
        4.559256752471604,
        4.559276777989017,
        4.55929680350643,
        4.559316829023843,
        4.5593368545412565,
        4.55935688005867,
        4.559376905576083,
        4.559396931093496,
        4.559457007645736,
        4.559477033163149,
        4.559497058680562,
        4.559517084197975,
        4.559536632917355,
        4.559556658434768,
        4.559576683952181,
        4.559596709469594,
        4.559616734987007,
        4.559636760504421,
        4.559656786021834,
        4.559676811539247,
        4.55969683705666,
        4.55971638577604,
        4.5597364112934535,
        4.559756436810867,
        4.55977646232828,
        4.559796487845693,
        4.559816513363106,
        4.5598365388805195,
        4.559856564397933,
        4.559876113117312,
        4.559896138634725,
        4.559916164152138,
        4.559936189669552,
        4.559956215186965,
        4.559976240704378,
        4.559995789423757,
        4.5600158149411705,
        4.560035840458584,
        4.560055865975997,
        4.56007589149341,
        4.560095917010823,
        4.560115465730203,
        4.560135491247617,
        4.56015551676503,
        4.560175542282443,
        4.560195567799856,
        4.5602151165192355,
        4.560235142036649,
        4.560255167554062,
        4.560275193071475,
        4.560294741790855,
        4.5603147673082685,
        4.560334792825682,
        4.560354818343095,
        4.560374843860508,
        4.560394392579887,
        4.5604144180973005,
        4.560434443614714,
        4.560454469132127,
        4.560474017851506,
        4.560494043368919,
        4.560852118692189,
        4.560911718446396,
        4.560931743963809,
        4.560951292683188,
        4.560971318200601,
        4.5609913437180145,
        4.561010892437394,
        4.561030917954807,
        4.561050466674187,
        4.5610704921916,
        4.5610905177090135,
        4.561110066428393,
        4.561130091945806,
        4.561150117463219,
        4.5611696661825984,
        4.561189691700012,
        4.561209240419392,
        4.561229265936805,
        4.561249291454218,
        4.5612688401735975,
        4.561288865691011,
        4.561308891208424,
        4.561328439927804,
        4.561348465445217,
        4.5613680141645965,
        4.56138803968201,
        4.561407588401389,
        4.561427613918802,
        4.561447639436215,
        4.5614671881555955,
        4.561487213673009,
        4.561506762392388,
        4.561526787909801,
        4.56154633662918,
        4.561566362146594,
        4.561586387664007,
        4.561605936383387,
        4.5616259619008,
        4.561645510620179,
        4.561665536137593,
        4.561685084856972,
        4.561705110374385,
        4.561724659093765,
        4.561744684611178,
        4.561764233330558,
        4.561784258847971,
        4.561803807567351,
        4.561823833084764,
        4.5618433818041435,
        4.561863407321557,
        4.561882956040936,
        4.561902981558349,
        4.561922530277729,
        4.5619425557951425,
        4.561962104514522,
        4.561982130031935,
        4.562001678751314,
        4.562021704268727,
        4.562041252988108,
        4.562061278505521,
        4.5620808272249,
        4.562100852742313,
        4.5621204014616925,
        4.562140426979106,
        4.562159975698486,
        4.562180001215899,
        4.562199549935278,
        4.562219098654658,
        4.562239124172071,
        4.562258672891451,
        4.562278698408864,
        4.562298247128243,
        4.562318272645657,
        4.562337821365037,
        4.562357370084416,
        4.562377395601829,
        4.5623969443212085,
        4.562416969838622,
        4.562436518558002,
        4.562456544075415,
        4.562476092794794,
        4.5624956415141735,
        4.562515667031587,
        4.562535215750967,
        4.562554764470346,
        4.562574789987759,
        4.562594338707139,
        4.562614364224552,
        4.562633912943932,
        4.562653461663311,
        4.562673487180724,
        4.562752158856276,
        4.563067322356518,
        4.563087347873931,
        4.56310689659331,
        4.56312644531269,
        4.5631459940320696,
        4.563166019549483,
        4.563185568268862,
        4.563205116988242,
        4.563224665707621,
        4.563244691225035,
        4.563264239944414,
        4.563283788663794,
        4.563303814181207,
        4.5633233629005865,
        4.563342911619966,
        4.563362460339346,
        4.563382009058725,
        4.563402034576138,
        4.5634215832955185,
        4.563441132014898,
        4.563460680734277,
        4.56348070625169,
        4.56350025497107,
        4.56351980369045,
        4.563539352409829,
        4.563559377927242,
        4.563578926646622,
        4.5635984753660015,
        4.563618024085381,
        4.563637572804761,
        4.56365712152414,
        4.563677147041553,
        4.563696695760933,
        4.563716244480313,
        4.563735793199692,
        4.563755341919071,
        4.5637753674364845,
        4.563794916155865,
        4.563814464875244,
        4.563834013594623,
        4.563853562314003,
        4.563873111033383,
        4.563893136550796,
        4.563912685270175,
        4.563932233989555,
        4.563951782708934,
        4.563971331428315,
        4.563990880147694,
        4.564010428867073,
        4.564030454384486,
        4.564050003103866,
        4.564069551823246,
        4.564089100542625,
        4.564108649262005,
        4.564128197981384,
        4.564147746700764,
        4.564167295420144,
        4.564186844139523,
        4.564206869656936,
        4.5642264183763155,
        4.564245967095696,
        4.564265515815075,
        4.564285064534454,
        4.564304613253834,
        4.564324161973214,
        4.564343710692593,
        4.564363259411973,
        4.564382808131352,
        4.5644023568507315,
        4.564421905570112,
        4.564441454289491,
        4.56446100300887,
        4.564481028526283,
        4.5645005772456635,
        4.564520125965043,
        4.564539674684423,
        4.564559223403802,
        4.564578772123181,
        4.564598320842562,
        4.564617869561941,
        4.56463741828132,
        4.5646569670007,
        4.5646765157200795,
        4.564696064439459,
        4.564735161878218,
        4.564754710597597,
        4.564774259316978,
        4.564793808036357,
        4.564813356755736,
        4.564969746510773,
        4.565223403064674,
        4.565262500503433,
        4.565282049222812,
        4.565301597942192,
        4.565340218582917,
        4.565359767302297,
        4.5653793160216765,
        4.565398864741056,
        4.565418413460436,
        4.565437962179815,
        4.565457510899194,
        4.5654770596185745,
        4.56549613153992,
        4.5655156802593,
        4.565535228978679,
        4.5655547776980585,
        4.565574326417439,
        4.565593875136818,
        4.565613423856198,
        4.565632495777543,
        4.5656520444969235,
        4.565671593216303,
        4.565691141935682,
        4.565710690655062,
        4.565807957453926,
        4.565847054892685,
        4.565866126814031,
        4.56588567553341,
        4.56590522425279,
        4.56592477297217,
        4.565944321691549,
        4.565963393612895,
        4.565982942332274,
        4.566002491051655,
        4.566022039771034,
        4.56604111169238,
        4.566060660411759,
        4.5660802091311385,
        4.566099757850519,
        4.566119306569898,
        4.566138378491244,
        4.566157927210623,
        4.566177475930004,
        4.566197024649383,
        4.566216096570729,
        4.566235645290108,
        4.5662551940094875,
        4.566274742728868,
        4.566293814650213,
        4.566313363369593,
        4.566332912088972,
        4.566351984010319,
        4.566371532729698,
        4.566391081449077,
        4.566410630168457,
        4.566429702089803,
        4.566449250809183,
        4.566468799528562,
        4.566487871449908,
        4.5665074201692875,
        4.566526968888667,
        4.566546517608047,
        4.566565589529392,
        4.566585138248772,
        4.566604686968152,
        4.566623758889498,
        4.566643307608877,
        4.566662856328256,
        4.5666819282496025,
        4.566701476968983,
        4.566721025688362,
        4.566740097609708,
        4.566759646329087,
        4.566779195048467,
        4.566817815689192,
        4.566837364408572,
        4.566856436329918,
        4.566875985049298,
        4.566934154409402,
        4.566953226330749,
        4.566972775050128,
        4.566992323769507,
        4.567069565050958,
        4.567089113770338,
        4.5671081856916835,
        4.567146806332409,
        4.567166355051789,
        4.5671854269731345,
        4.567204975692515,
        4.5672822169739655,
        4.567456248256247,
        4.567475796975627,
        4.567494868896972,
        4.567514417616352,
        4.5675334895376976,
        4.567553038257078,
        4.567572110178423,
        4.567591658897803,
        4.5676107308191485,
        4.567630279538529,
        4.567649351459874,
        4.567668900179254,
        4.567687972100599,
        4.5677075208199795,
        4.567726592741325,
        4.567746141460705,
        4.56776521338205,
        4.5677847621014305,
        4.567803834022777,
        4.567823382742156,
        4.567842454663502,
        4.567862003382881,
        4.567881075304228,
        4.567900624023607,
        4.567919695944953,
        4.567938767866298,
        4.5679583165856785,
        4.567977388507024,
        4.567996937226404,
        4.568016009147749,
        4.5680355578671294,
        4.568054629788475,
        4.568074178507855,
        4.5680932504292,
        4.568112322350546,
        4.568131871069926,
        4.568150942991272,
        4.568170491710651,
        4.568189563631997,
        4.5682086355533436,
        4.568228184272723,
        4.568247256194069,
        4.568266804913448,
        4.5682858768347945,
        4.56830494875614,
        4.56832449747552,
        4.568343569396866,
        4.568363118116245,
        4.568382190037592,
        4.568401261958937,
        4.568420810678317,
        4.568439882599662,
        4.568458954521009,
        4.568478503240388,
        4.568497575161734,
        4.56851664708308,
        4.5685361958024595,
        4.568555267723806,
        4.568574339645151,
        4.568593888364531,
        4.5686129602858765,
        4.568632032207223,
        4.568651580926602,
        4.568670652847948,
        4.568689724769294,
        4.568709273488674,
        4.56872834541002,
        4.568747417331365,
        4.568766966050745,
        4.568786037972091,
        4.568805109893437,
        4.568824658612816,
        4.568843730534162,
        4.5688628024555085,
        4.568881874376855,
        4.568901423096234,
        4.56892049501758,
        4.5689395669389254,
        4.568978187579651,
        4.568997259500997,
        4.569016331422343,
        4.569035880141723,
        4.569054952063069,
        4.569074023984414,
        4.56909309590576,
        4.5691126446251396,
        4.569131716546486,
        4.569150788467832,
        4.569169860389177,
        4.569189409108557,
        4.569208481029903,
        4.569227552951249,
        4.569246624872595,
        4.569266173591974,
        4.569285245513321,
        4.569304317434666,
        4.569323389356012,
        4.569342461277358,
        4.569362009996738,
        4.569381081918084,
        4.569400153839429,
        4.569419225760775,
        4.5694382976821215,
        4.569457846401501,
        4.569476918322847,
        4.569495990244193,
        4.5695150621655385,
        4.5696876630537195,
        4.569706734975065,
        4.569725806896411,
        4.569744878817757,
        4.569763950739103,
        4.569783022660449,
        4.569802094581795,
        4.569821643301174,
        4.5698407152225204,
        4.569859787143866,
        4.569878859065212,
        4.569897930986558,
        4.5699170029079035,
        4.56993607482925,
        4.569955146750596,
        4.569974218671942,
        4.569993290593287,
        4.5700128393126676,
        4.570031911234013,
        4.570050983155359,
        4.570070055076705,
        4.570089126998051,
        4.570108198919397,
        4.570127270840743,
        4.570146342762088,
        4.5701654146834345,
        4.570184486604781,
        4.570203558526126,
        4.570222630447472,
        4.570241702368818,
        4.570260774290164,
        4.570280323009544,
        4.570299394930889,
        4.570318466852235,
        4.570337538773582,
        4.570356610694927,
        4.570375682616273,
        4.570394754537619,
        4.570413826458965,
        4.570432898380311,
        4.570451970301657,
        4.570471042223002,
        4.570490114144349,
        4.570509186065695,
        4.570528257987041,
        4.570547329908386,
        4.5705664018297325,
        4.570585473751079,
        4.570604545672424,
        4.57062361759377,
        4.570642689515116,
        4.570661761436462,
        4.570680833357808,
        4.570699905279154,
        4.5707189772004995,
        4.570738049121846,
        4.570757121043192,
        4.570776192964537,
        4.570795264885883,
        4.570813860009196,
        4.570832931930542,
        4.570852003851887,
        4.570871075773233,
        4.57089014769458,
        4.570909219615925,
        4.570928291537271,
        4.570966435379963,
        4.570985507301309,
        4.571004579222655,
        4.571023651144,
        4.5710427230653465,
        4.571061794986693,
        4.571080390110005,
        4.571099462031351,
        4.5711185339526965,
        4.571137605874043,
        4.571156677795389,
        4.571175749716734,
        4.57119482163808,
        4.571213893559427,
        4.571232965480772,
        4.571252037402118,
        4.57127063252543,
        4.571289704446777,
        4.571308776368122,
        4.571327848289468,
        4.571346920210814,
        4.57136599213216,
        4.571385064053506,
        4.571403659176818,
        4.571422731098164,
        4.57144180301951,
        4.571460874940856,
        4.571479946862202,
        4.571499018783547,
        4.57151761390686,
        4.571536685828206,
        4.571555757749552,
        4.571574829670897,
        4.5715939015922435,
        4.57161297351359,
        4.571631568636902,
        4.571650640558248,
        4.5716697124795935,
        4.57168878440094,
        4.571707856322286,
        4.571726451445598,
        4.5717455233669435,
        4.57199202795034,
        4.572030171793031,
        4.572048766916343,
        4.57206783883769,
        4.572086910759036,
        4.572105982680381,
        4.572124577803693,
        4.57214364972504,
        4.572162721646386,
        4.572181793567732,
        4.572200388691044,
        4.572257127657048,
        4.57229527149974,
        4.572314343421086,
        4.572332938544398,
        4.572352010465744,
        4.57237108238709,
        4.572389677510402,
        4.572408749431748,
        4.572427821353094,
        4.5724464164764065,
        4.572465488397752,
        4.572484560319098,
        4.57250315544241,
        4.5725222273637565,
        4.572541299285102,
        4.572559894408414,
        4.57257896632976,
        4.5725980382511064,
        4.572616633374419,
        4.572635705295764,
        4.572654300419076,
        4.5726733723404225,
        4.572692444261769,
        4.572711039385081,
        4.572730111306427,
        4.5727491832277725,
        4.572767778351085,
        4.572786850272431,
        4.572899851406405,
        4.572918923327752,
        4.572937995249097,
        4.572994257417068,
        4.573013329338414,
        4.573032401259759,
        4.573050996383071,
        4.573070068304418,
        4.57308866342773,
        4.573107735349076,
        4.573126330472388,
        4.573145402393734,
        4.573183069438392,
        4.573220736483051,
        4.573239808404396,
        4.573258403527709,
        4.573277475449054,
        4.573296070572367,
        4.573315142493713,
        4.573333737617025,
        4.573352809538371,
        4.573371404661684,
        4.573390476583029,
        4.573409071706341,
        4.573428143627687,
        4.573446738751,
        4.573465810672346,
        4.573484405795658,
        4.573503477717003,
        4.573522072840316,
        4.573541144761662,
        4.573559739884974,
        4.57357881180632,
        4.573597406929633,
        4.573616478850978,
        4.57363507397429,
        4.573654145895636,
        4.573672741018949,
        4.573691812940295,
        4.573710408063607,
        4.573729003186919,
        4.573748075108265,
        4.573766670231577,
        4.573785742152923,
        4.573804337276235,
        4.573823409197582,
        4.573842004320894,
        4.57386107624224,
        4.573879671365552,
        4.5738982664888646,
        4.57391733841021,
        4.573935933533522,
        4.573955005454868,
        4.573973600578181,
        4.573992672499527,
        4.574011267622839,
        4.574029862746151,
        4.574048934667497,
        4.574067529790809,
        4.574105196835467,
        4.57412379195878,
        4.574293055260725,
        4.574311650384037,
        4.574330245507349,
        4.5743493174286955,
        4.574367912552008,
        4.57438650767532,
        4.574405579596665,
        4.574424174719978,
        4.57444276984329,
        4.574461841764636,
        4.574480436887948,
        4.574499032011261,
        4.574518103932607,
        4.574536699055919,
        4.574555294179231,
        4.574574366100577,
        4.574592961223889,
        4.574611556347201,
        4.574630151470513,
        4.57464922339186,
        4.574667818515172,
        4.574686413638484,
        4.57470548555983,
        4.574724080683143,
        4.574742675806455,
        4.574761270929767,
        4.5747803428511125,
        4.574798937974425,
        4.574817533097737,
        4.574836605019083,
        4.574855200142395,
        4.574873795265708,
        4.57489239038902,
        4.574911462310366,
        4.574930057433678,
        4.574948652556991,
        4.574967247680303,
        4.574986319601649,
        4.575004914724961,
        4.575023509848274,
        4.575042104971586,
        4.575060700094898,
        4.5750797720162435,
        4.575098367139556,
        4.575116962262868,
        4.57513555738618,
        4.5751546293075265,
        4.575173224430839,
        4.575191819554151,
        4.575210414677463,
        4.5752290098007755,
        4.575248081722122,
        4.575266676845434,
        4.575322462215371,
        4.575341057338683,
        4.575360129260028,
        4.575378724383341,
        4.575397319506653,
        4.575415914629965,
        4.575434509753278,
        4.5754531048765905,
        4.575472176797936,
        4.575490771921248,
        4.57550936704456,
        4.575527962167873,
        4.575546557291185,
        4.575565152414497,
        4.575583747537809,
        4.575602819459156,
        4.575621414582468,
        4.57564000970578,
        4.575658604829092,
        4.575677199952405,
        4.575695795075717,
        4.575714390199029,
        4.575732985322341,
        4.575752057243688,
        4.575770652367,
        4.575789247490312,
        4.575807842613624,
        4.575826437736937,
        4.575845032860249,
        4.575863627983561,
        4.575882223106873,
        4.575900818230186,
        4.575919413353498,
        4.57593800847681,
        4.5759570803981555,
        4.575975675521468,
        4.575994270644781,
        4.576012865768093,
        4.5760314608914054,
        4.576050056014718,
        4.57606865113803,
        4.576087246261342,
        4.5761058413846545,
        4.576124436507967,
        4.576143031631279,
        4.576161626754591,
        4.5761802218779035,
        4.576198817001216,
        4.576217412124528,
        4.57623600724784,
        4.576254602371153,
        4.576273197494465,
        4.576291792617777,
        4.576310387741089,
        4.576328982864402,
        4.576347577987714,
        4.576366173111026,
        4.576403363357651,
        4.576496338974212,
        4.5765335292208364,
        4.576552124344149,
        4.576570719467461,
        4.576589314590773,
        4.5766079097140855,
        4.576626504837398,
        4.57664509996071,
        4.576663695084022,
        4.5766822902073345,
        4.576700885330647,
        4.576719480453959,
        4.576738075577271,
        4.576756670700584,
        4.576775265823896,
        4.576793384149174,
        4.576811979272486,
        4.576830574395799,
        4.576849169519111,
        4.576867764642423,
        4.576886359765735,
        4.576904954889048,
        4.57692355001236,
        4.576942145135672,
        4.5769607402589845,
        4.576979335382297,
        4.576997453707576,
        4.577016048830888,
        4.5770346439542005,
        4.577053239077513,
        4.577071834200825,
        4.577090429324137,
        4.5771090244474495,
        4.577127619570762,
        4.577146214694074,
        4.577164333019352,
        4.577182928142665,
        4.577201523265977,
        4.577220118389289,
        4.577238713512601,
        4.577257308635914,
        4.577275903759226,
        4.577294022084505,
        4.577312617207817,
        4.57733121233113,
        4.577349807454442,
        4.577368402577754,
        4.577386997701066,
        4.577405116026345,
        4.577423711149657,
        4.577442306272969,
        4.5774609013962815,
        4.577479496519594,
        4.577497614844872,
        4.577516209968184,
        4.577534805091497,
        4.577553400214809,
        4.577571995338121,
        4.5775901136634,
        4.5776087087867126,
        4.577627303910025,
        4.577645899033337,
        4.577664494156649,
        4.577682612481928,
        4.57770120760524,
        4.577719802728552,
        4.577738397851864,
        4.577756516177144,
        4.577775111300456,
        4.577793706423768,
        4.57781230154708,
        4.577830419872359,
        4.577849014995671,
        4.577867610118983,
        4.5778862052422955,
        4.577904323567574,
        4.577922918690886,
        4.577941513814198,
        4.577960108937511,
        4.57797822726279,
        4.577996822386102,
        4.578015417509414,
        4.578034012632727,
        4.578052130958005,
        4.578070726081317,
        4.578089321204629,
        4.578107439529908,
        4.57812603465322,
        4.578144629776532,
        4.5781627481018115,
        4.578181343225124,
        4.578199938348436,
        4.578218533471748,
        4.5782366517970265,
        4.578255246920339,
        4.578273842043651,
        4.57829196036893,
        4.5783105554922425,
        4.578329150615555,
        4.578347268940833,
        4.578365864064145,
        4.578384459187458,
        4.578402577512736,
        4.578421172636048,
        4.5784397677593605,
        4.57845788608464,
        4.578476481207952,
        4.57849459953323,
        4.5785131946565425,
        4.578531789779855,
        4.578549908105133,
        4.578568503228445,
        4.578587098351758,
        4.578605216677037,
        4.578623811800349,
        4.578641930125627,
        4.57866052524894,
        4.578679120372252,
        4.57869723869753,
        4.578715833820843,
        4.578733952146122,
        4.578752547269434,
        4.578771142392746,
        4.5787892607180245,
        4.578807855841337,
        4.578825974166616,
        4.578844569289928,
        4.578899877861831,
        4.578917996187109,
        4.578936591310422,
        4.578954709635701,
        4.578973304759013,
        4.578991899882325,
        4.579010018207604,
        4.579028613330916,
        4.579046731656194,
        4.5790653267795065,
        4.579083445104786,
        4.579102040228098,
        4.579120158553376,
        4.5791387536766885,
        4.579156872001967,
        4.579175467125279,
        4.579193585450558,
        4.579212180573871,
        4.579230298899149,
        4.579248894022461,
        4.57926701234774,
        4.579285607471053,
        4.579303725796331,
        4.579322320919643,
        4.5793404392449215,
        4.579359034368234,
        4.579377152693513,
        4.579395747816825,
        4.5794138661421036,
        4.579432461265416,
        4.579450579590694,
        4.579469174714006,
        4.579487293039286,
        4.579505888162598,
        4.579524006487876,
        4.579542601611188,
        4.579560719936467,
        4.579579315059779,
        4.579597433385058,
        4.5796160285083705,
        4.579634146833649,
        4.579652265158927,
        4.579670860282239,
        4.579688978607519,
        4.579707573730831,
        4.579725692056109,
        4.579744287179421,
        4.5797624055047,
        4.579780523829979,
        4.579799118953291,
        4.5798172372785695,
        4.579835832401882,
        4.579853950727161,
        4.579872545850473,
        4.5798906641757515,
        4.57990878250103,
        4.58005515949736,
        4.580073754620672,
        4.5800918729459505,
        4.580110468069263,
        4.580128586394542,
        4.58014670471982,
        4.580165299843133,
        4.580183418168411,
        4.58020153649369,
        4.580220131617002,
        4.580238249942281,
        4.580256368267559,
        4.580274963390871,
        4.5802930817161505,
        4.580311200041429,
        4.580329795164741,
        4.580347913490019,
        4.5803660318152986,
        4.580384626938611,
        4.580402745263889,
        4.580420863589168,
        4.580439458712481,
        4.580457577037759,
        4.580475695363037,
        4.580493813688316,
        4.580512408811629,
        4.580530527136907,
        4.580548645462185,
        4.580567240585498,
        4.580585358910777,
        4.580603477236055,
        4.580621595561333,
        4.580640190684646,
        4.580658309009925,
        4.580676427335203,
        4.5806950224585155,
        4.580713140783794,
        4.580731259109073,
        4.580749377434351,
        4.5807679725576635,
        4.580786090882942,
        4.580804209208221,
        4.580822327533499,
        4.580840922656812,
        4.58085904098209,
        4.580877159307369,
        4.5808952776326475,
        4.58091387275596,
        4.580931991081239,
        4.580950109406517,
        4.580968227731796,
        4.580986346057075,
        4.581004941180387,
        4.581023059505665,
        4.581041177830944,
        4.581059296156223,
        4.581077414481501,
        4.581114127930092,
        4.581132246255371,
        4.581150364580649,
        4.581168482905928,
        4.58118707802924,
        4.581205196354519,
        4.581259551330355,
        4.581277669655633,
        4.5812962647789455,
        4.581314383104224,
        4.581332501429503,
        4.581350619754781,
        4.58136873808006,
        4.581386856405339,
        4.581405451528651,
        4.581423569853929,
        4.581441688179208,
        4.581459806504487,
        4.581477924829765,
        4.581496043155044,
        4.581514161480323,
        4.581532279805601,
        4.581550874928913,
        4.5815689932541925,
        4.581587111579471,
        4.581605229904749,
        4.581623348230028,
        4.581641466555307,
        4.581659584880585,
        4.581677703205864,
        4.5816958215311425,
        4.581714416654455,
        4.581732534979733,
        4.581750653305012,
        4.581768771630291,
        4.581786889955569,
        4.581805008280848,
        4.5818231266061265,
        4.581841244931405,
        4.581859363256684,
        4.581877481581962,
        4.581895599907241,
        4.58191371823252,
        4.581931836557798,
        4.581949954883076,
        4.581968550006389,
        4.581986668331668,
        4.582004786656946,
        4.582022904982225,
        4.582041023307504,
        4.582059141632782,
        4.582077259958061,
        4.58209537828334,
        4.582113496608618,
        4.582131614933897,
        4.582149733259175,
        4.582167851584454,
        4.582185969909733,
        4.582204088235011,
        4.58222220656029,
        4.582240324885569,
        4.582258443210847,
        4.582276561536125,
        4.582294679861405,
        4.582312798186683,
        4.582330916511961,
        4.58234903483724,
        4.582367153162519,
        4.582385271487797,
        4.582403389813076,
        4.582421508138355,
        4.582439626463633,
        4.582457744788912,
        4.58247586311419,
        4.582493981439469,
        4.582512099764748,
        4.582530218090026,
        4.5825483364153055,
        4.58256597794255,
        4.582584096267829,
        4.582602214593107,
        4.582620332918386,
        4.582638451243665,
        4.582656569568943,
        4.5826746878942215,
        4.582692806219501,
        4.582710924544779,
        4.582729042870057,
        4.5827471611953365,
        4.582765279520615,
        4.582783397845893,
        4.582801516171172,
        4.582819157698417,
        4.582837276023696,
        4.582855394348974,
        4.582873512674253,
        4.582891630999532,
        4.58290974932481,
        4.582927867650088,
        4.582945985975368,
        4.582964104300646,
        4.582981745827891,
        4.5829998641531695,
        4.583017982478448,
        4.583036100803727,
        4.583054219129005,
        4.583072337454284,
        4.583090455779563,
        4.583108574104841,
        4.583126215632086,
        4.583144333957365,
        4.583162452282644,
        4.583180570607922,
        4.583198688933201,
        4.58321680725848,
        4.583234448785724,
        4.583252567111003,
        4.583270685436282,
        4.58328880376156,
        4.583306922086839,
        4.5833250404121175,
        4.583342681939363,
        4.583360800264641,
        4.583378918589919,
        4.583397036915199,
        4.583415155240477,
        4.583432796767722,
        4.5834509150930005,
        4.583469033418279,
        4.583487151743558,
        4.583505270068836,
        4.5836492630749985,
        4.583667381400277,
        4.583685022927522,
        4.5837031412528,
        4.583721259578079,
        4.583739377903358,
        4.583757019430602,
        4.58379325608116,
        4.583811374406438,
        4.583847134258962,
        4.583865252584241,
        4.583883370909519,
        4.583954890614566,
        4.583973008939845,
        4.583991127265124,
        4.584009245590402,
        4.5840268871176475,
        4.584045005442926,
        4.584063123768204,
        4.584080765295449,
        4.584098883620728,
        4.584117001946007,
        4.584134643473251,
        4.5841527617985305,
        4.584170880123809,
        4.584188998449088,
        4.584206639976332,
        4.584224758301612,
        4.58424287662689,
        4.584260518154135,
        4.5842786364794135,
        4.584296278006659,
        4.584314396331937,
        4.584332514657215,
        4.584350156184461,
        4.584368274509739,
        4.584386392835018,
        4.5844040343622625,
        4.584422152687542,
        4.58444027101282,
        4.584457912540065,
        4.584476030865344,
        4.584494149190622,
        4.584511790717867,
        4.5845299090431455,
        4.584547550570391,
        4.584565668895669,
        4.584583787220948,
        4.584601428748193,
        4.584619547073472,
        4.584637188600716,
        4.584655306925995,
        4.584673425251274,
        4.584691066778519,
        4.584709185103797,
        4.584726826631043,
        4.584744944956321,
        4.5847630632816,
        4.5847807048088445,
        4.584798823134124,
        4.584816464661368,
        4.584834582986647,
        4.584852224513892,
        4.584870342839171,
        4.584888461164449,
        4.584906102691694,
        4.584924221016973,
        4.584941862544218,
        4.584959980869496,
        4.584977622396742,
        4.58499574072202,
        4.585013382249265,
        4.5850315005745435,
        4.585049142101789,
        4.585067260427067,
        4.585084901954312,
        4.585103020279591,
        4.585121138604869,
        4.585138780132114,
        4.5851568984573925,
        4.585174539984638,
        4.585192658309916,
        4.585210299837161,
        4.58522841816244,
        4.585246059689685,
        4.585264178014963,
        4.5852818195422085,
        4.585299937867488,
        4.585317579394732,
        4.585335697720011,
        4.585353339247256,
        4.585370980774501,
        4.585389099099779,
        4.5854067406270245,
        4.585424858952303,
        4.585442500479548,
        4.585460618804826,
        4.585478260332072,
        4.58549637865735,
        4.585514020184595,
        4.5855321385098735,
        4.585549780037119,
        4.585567898362397,
        4.585585539889642,
        4.585603181416888,
        4.585621299742166,
        4.585638941269411,
        4.5856570595946895,
        4.585674701121935,
        4.585692819447213,
        4.585710460974458,
        4.585728102501703,
        4.585746220826982,
        4.585763862354226,
        4.5857819806795055,
        4.58579962220675,
        4.585817263733995,
        4.585835382059274,
        4.585871141911798,
        4.58599558619858,
        4.586048987578348,
        4.5860847474308715,
        4.586102865756151,
        4.586120507283395,
        4.58613814881064,
        4.586156267135919,
        4.586173908663164,
        4.586191550190409,
        4.5862096685156875,
        4.586227310042933,
        4.586244951570177,
        4.586263069895456,
        4.586280711422701,
        4.586298352949946,
        4.586316471275224,
        4.5863341128024695,
        4.586351754329715,
        4.586369395856959,
        4.586387514182238,
        4.586405155709484,
        4.586422797236728,
        4.586440915562007,
        4.5864585570892515,
        4.586476198616497,
        4.586494316941775,
        4.58651195846902,
        4.586529599996266,
        4.58654724152351,
        4.586565359848789,
        4.586583001376034,
        4.586600642903279,
        4.586618761228557,
        4.586636402755802,
        4.586654044283048,
        4.586671685810292,
        4.586689804135571,
        4.586707445662816,
        4.586725087190061,
        4.586742728717306,
        4.5867608470425845,
        4.58677848856983,
        4.586796130097074,
        4.586813771624319,
        4.586831889949598,
        4.586849531476843,
        4.586867173004088,
        4.586884814531333,
        4.586902456058578,
        4.586920574383857,
        4.586938215911101,
        4.586955857438347,
        4.586973498965592,
        4.586991140492836,
        4.5870092588181155,
        4.58702690034536,
        4.587044541872605,
        4.58706218339985,
        4.587079824927095,
        4.587097943252374,
        4.587115584779618,
        4.587133226306864,
        4.587150867834109,
        4.587168509361353,
        4.587239552268367,
        4.587328236702626,
        4.587398802811605,
        4.587416921136884,
        4.587434562664129,
        4.587452204191374,
        4.587469845718619,
        4.587487487245864,
        4.587505128773109,
        4.587522770300354,
        4.587540411827599,
        4.587558530152878,
        4.587576171680123,
        4.587593813207367,
        4.5876114547346125,
        4.587629096261858,
        4.587646737789102,
        4.587664379316347,
        4.587682020843593,
        4.587699662370837,
        4.587717303898082,
        4.587734945425328,
        4.587753063750606,
        4.587770705277851,
        4.5877883468050955,
        4.587805988332341,
        4.587823629859586,
        4.58784127138683,
        4.587858912914076,
        4.587894195968565,
        4.5879118374958106,
        4.587929479023056,
        4.5879471205503,
        4.5879647620775454,
        4.587982403604791,
        4.588000045132035,
        4.58801768665928,
        4.588035328186526,
        4.588052969713771,
        4.588070611241015,
        4.588088729566294,
        4.588106371093539,
        4.588124012620784,
        4.588141654148029,
        4.588159295675274,
        4.588176937202519,
        4.588194578729764,
        4.588212220257009,
        4.588247503311499,
        4.5882651448387435,
        4.588318069420478,
        4.588335710947724,
        4.588353352474969,
        4.58837051720418,
        4.588388158731425,
        4.58840580025867,
        4.588423441785915,
        4.5884410833131595,
        4.588458724840405,
        4.58847636636765,
        4.588494007894894,
        4.58851164942214,
        4.588529290949385,
        4.588546932476629,
        4.5885645740038745,
        4.58858221553112,
        4.588599857058365,
        4.588617498585609,
        4.588635140112855,
        4.5886527816401,
        4.588670423167344,
        4.58868806469459,
        4.588705229423801,
        4.588722870951046,
        4.5887405124782905,
        4.588758154005536,
        4.588775795532781,
        4.588793437060025,
        4.588811078587271,
        4.588828720114516,
        4.58884636164176,
        4.588864003169006,
        4.588881644696251,
        4.588898809425462,
        4.5889164509527065,
        4.588934092479952,
        4.588951734007197,
        4.588969375534441,
        4.588987017061687,
        4.589004658588932,
        4.589022300116176,
        4.589039464845388,
        4.589057106372633,
        4.589074747899878,
        4.5890923894271225,
        4.589110030954368,
        4.589127672481613,
        4.589145314008858,
        4.58916247873807,
        4.589180120265314,
        4.589197761792559,
        4.5892154033198045,
        4.589233044847049,
        4.589250686374294,
        4.589267851103505,
        4.589285492630751,
        4.589303134157995,
        4.58932077568524,
        4.589338417212486,
        4.58935605873973,
        4.589373223468941,
        4.5893908649961865,
        4.589408506523432,
        4.589426148050676,
        4.589443789577921,
        4.589460954307133,
        4.589478595834378,
        4.589496237361622,
        4.589513878888868,
        4.589531043618079,
        4.589548685145324,
        4.589566326672569,
        4.589583968199814,
        4.589601609727059,
        4.58961877445627,
        4.589636415983515,
        4.58965405751076,
        4.589671699038005,
        4.589688863767217,
        4.589706505294462,
        4.589724146821706,
        4.5897417883489515,
        4.589758953078163,
        4.589776594605408,
        4.5897942361326525,
        4.589811877659898,
        4.589829042389109,
        4.589846683916354,
        4.589864325443599,
        4.589881966970844,
        4.589899131700055,
        4.5899167732273005,
        4.589934414754545,
        4.589951579483756,
        4.5899692210110015,
        4.589986862538247,
        4.590004504065491,
        4.590021668794702,
        4.590039310321948,
        4.590056951849193,
        4.590074116578404,
        4.590091758105649,
        4.590109399632894,
        4.590126564362105,
        4.5901442058893505,
        4.590161847416595,
        4.590179012145806,
        4.590196653673051,
        4.590214295200297,
        4.590231459929508,
        4.590249101456753,
        4.590266742983998,
        4.590283907713209,
        4.590301549240454,
        4.5903191907676995,
        4.590336355496911,
        4.590353997024155,
        4.5903716385514,
        4.590388803280612,
        4.590406444807857,
        4.590424086335101,
        4.590441251064313,
        4.590458892591558,
        4.590476057320769,
        4.5904936988480145,
        4.590511340375259,
        4.59052850510447,
        4.5905461466317155,
        4.590563788158961,
        4.590580952888172,
        4.590598594415416,
        4.590615759144628,
        4.590633400671873,
        4.590651042199118,
        4.5906682069283296,
        4.5907206547120305,
        4.590738296239276,
        4.590755460968487,
        4.590773102495732,
        4.590790267224944,
        4.590807908752188,
        4.590825073481399,
        4.590842715008645,
        4.59086035653589,
        4.590877521265101,
        4.5908951627923456,
        4.590912327521557,
        4.590929969048802,
        4.5909471337780134,
        4.590964775305259,
        4.59098194003447,
        4.590999581561714,
        4.591016746290926,
        4.591034387818171,
        4.591052029345416,
        4.5910691940746275,
        4.591086835601872,
        4.591104000331083,
        4.5911216418583285,
        4.59113880658754,
        4.591156448114785,
        4.591173612843996,
        4.591191254371241,
        4.591208419100452,
        4.591226060627697,
        4.591243225356909,
        4.591260866884154,
        4.591278031613365,
        4.5912956731406105,
        4.591312837869822,
        4.591330479397066,
        4.5913476441262775,
        4.591365285653523,
        4.591382450382734,
        4.591400091909979,
        4.591417256639191,
        4.591434421368402,
        4.591452062895646,
        4.591469227624858,
        4.591486869152103,
        4.591504033881314,
        4.5915216754085595,
        4.591538840137771,
        4.591556481665015,
        4.5915736463942265,
        4.591591287921472,
        4.591608452650683,
        4.591625617379894,
        4.59164325890714,
        4.591660423636351,
        4.591678065163595,
        4.591695229892807,
        4.591712871420052,
        4.591730036149263,
        4.5917472008784745,
        4.59176484240572,
        4.591782007134931,
        4.5917996486621755,
        4.591816813391387,
        4.591833978120598,
        4.591851619647843,
        4.591868784377055,
        4.5918864259043,
        4.591903590633511,
        4.591920755362723,
        4.591938396889968,
        4.591955561619179,
        4.5919732031464235,
        4.591990367875635,
        4.592007532604846,
        4.592025174132091,
        4.592042338861303,
        4.592059503590514,
        4.592077145117759,
        4.592094309846971,
        4.592111951374215,
        4.592129116103426,
        4.592146280832638,
        4.592163922359883,
        4.592181087089094,
        4.5921982518183055,
        4.592215893345551,
        4.592233058074762,
        4.592250222803973,
        4.592267864331218,
        4.592285029060429,
        4.59230219378964,
        4.592319835316886,
        4.592337000046097,
        4.592354164775308,
        4.592371806302554,
        4.592388971031765,
        4.592406135760976,
        4.5924233004901875,
        4.592440942017433,
        4.592458106746644,
        4.592475271475855,
        4.5924929130031,
        4.592510077732311,
        4.592527242461522,
        4.592544883988768,
        4.592562048717979,
        4.59257921344719,
        4.592596378176402,
        4.592614019703647,
        4.592631184432858,
        4.5926483491620695,
        4.592665513891281,
        4.592683155418525,
        4.5927003201477365,
        4.592717484876948,
        4.592734649606159,
        4.592752291133404,
        4.592769455862616,
        4.592786620591827,
        4.592803785321038,
        4.592821426848284,
        4.592838591577495,
        4.592855756306706,
        4.592872921035918,
        4.592890562563162,
        4.592907727292373,
        4.592924892021585,
        4.592942056750797,
        4.592959221480008,
        4.5929768630072525,
        4.592994027736464,
        4.593011192465675,
        4.5930283571948864,
        4.593045998722132,
        4.593063163451343,
        4.593080328180554,
        4.593097492909766,
        4.593114657638977,
        4.593132299166222,
        4.5931494638954335,
        4.593166628624645,
        4.593183793353856,
        4.5932009580830675,
        4.593218122812279,
        4.593235764339523,
        4.5932529290687345,
        4.593270093797946,
        4.593287258527157,
        4.5933044232563685,
        4.59332158798558,
        4.593339229512825,
        4.593356394242036,
        4.593373558971248,
        4.593390723700459,
        4.59340788842967,
        4.593425053158882,
        4.593442217888093,
        4.593459859415338,
        4.5934770241445495,
        4.593494188873761,
        4.593511353602972,
        4.5935285183321835,
        4.593545683061395,
        4.593562847790606,
        4.593580012519817,
        4.593597654047063,
        4.593614818776274,
        4.593631983505485,
        4.593649148234697,
        4.593666312963908,
        4.593683477693119,
        4.593700642422331,
        4.593717807151542,
        4.593734971880753,
        4.5937521366099645,
        4.593769301339176,
        4.59378694286642,
        4.5938041075956315,
        4.593821272324843,
        4.593838437054054,
        4.5938556017832655,
        4.593872766512477,
        4.595204463420456,
        4.596570489786857,
        4.596590992102304,
        4.5966114944177505,
        4.596631996733198,
        4.596652022250611,
        4.596672524566058,
        4.596693026881504,
        4.596713529196951,
        4.596734031512399,
        4.596754533827845,
        4.596775036143292,
        4.596795538458739,
        4.596816040774186,
        4.5968360662915995,
        4.596856568607046,
        4.596877070922493,
        4.59689757323794,
        4.596918075553386,
        4.596938577868833,
        4.596958603386247,
        4.596979105701694,
        4.59699960801714,
        4.597020110332587,
        4.597040612648034,
        4.597061114963481,
        4.597081140480894,
        4.597101642796341,
        4.597122145111788,
        4.597142647427234,
        4.5971631497426815,
        4.597183652058129,
        4.597203677575542,
        4.597224179890988,
        4.597244682206435,
        4.597265184521882,
        4.597285210039296,
        4.597305712354742,
        4.597326214670189,
        4.597346716985636,
        4.597367219301083,
        4.5973872448184965,
        4.597407747133943,
        4.59742824944939,
        4.597448751764837,
        4.59746877728225,
        4.5974892795976965,
        4.597509781913144,
        4.597530284228591,
        4.597550309746004,
        4.59757081206145,
        4.597591314376897,
        4.5976118166923445,
        4.597631842209758,
        4.597652344525204,
        4.597672846840651,
        4.597692872358064,
        4.5977133746735115,
        4.597733876988958,
        4.597754379304405,
        4.597774404821818,
        4.597794907137265,
        4.5978154094527115,
        4.597835434970125,
        4.597855937285572,
        4.597876439601019,
        4.597896465118432,
        4.597916967433879,
        4.597937469749326,
        4.597957495266739,
        4.597977997582186,
        4.597998499897633,
        4.598018525415046,
        4.598039027730493,
        4.59805953004594,
        4.598079555563353,
        4.5981000578788,
        4.598120560194246,
        4.5981405857116595,
        4.598161088027107,
        4.59818111354452,
        4.598201615859967,
        4.598222118175413,
        4.5982421436928265,
        4.598262646008274,
        4.598283148323721,
        4.598303173841134,
        4.59832367615658,
        4.598343701673993,
        4.598364203989441,
        4.598384706304888,
        4.598404731822301,
        4.598425234137748,
        4.598445259655161,
        4.5984657619706075,
        4.598485787488021,
        4.598506289803468,
        4.598526792118915,
        4.598546817636328,
        4.5985673199517745,
        4.598587345469188,
        4.598607847784635,
        4.598627873302048,
        4.598648375617495,
        4.598668401134908,
        4.598688903450355,
        4.598709405765802,
        4.598729431283215,
        4.598749933598662,
        4.598769959116075,
        4.598790461431522,
        4.598810486948935,
        4.598830989264382,
        4.598851014781795,
        4.598871517097242,
        4.5988915426146555,
        4.598912044930102,
        4.598932070447515,
        4.598952572762962,
        4.598972598280375,
        4.5989931005958224,
        4.599013126113236,
        4.599033628428683,
        4.599053653946096,
        4.599074156261542,
        4.5990941817789555,
        4.599114207296369,
        4.599134709611816,
        4.599154735129229,
        4.599175237444676,
        4.599195262962089,
        4.599215765277536,
        4.599235790794949,
        4.599256293110396,
        4.599276318627809,
        4.599296344145222,
        4.5993168464606695,
        4.599336871978083,
        4.599357374293529,
        4.599377399810942,
        4.599397902126389,
        4.5994179276438025,
        4.599437953161216,
        4.599458455476663,
        4.599478480994076,
        4.599498983309522,
        4.599519008826936,
        4.59953903434435,
        4.599559536659796,
        4.599579562177209,
        4.599600064492656,
        4.599620090010069,
        4.599640115527483,
        4.59966061784293,
        4.599680643360343,
        4.599700668877756,
        4.5997211711932025,
        4.599741196710616,
        4.599761222228029,
        4.599781724543476,
        4.599801750060889,
        4.599821775578302,
        4.5998422778937496,
        4.599862303411163,
        4.599882328928576,
        4.599902831244022,
        4.599922856761435,
        4.599942882278849,
        4.599963384594296,
        4.599983410111709,
        4.600003435629122,
        4.600023937944569,
        4.6000439634619825,
        4.600063988979396,
        4.600084491294843,
        4.600104516812256,
        4.600124542329669,
        4.6001445678470825,
        4.600165070162529,
        4.600185095679942,
        4.600205121197355,
        4.600225146714768,
        4.6002456490302155,
        4.600265674547629,
        4.600285700065042,
        4.600306202380489,
        4.600326227897902,
        4.6003462534153154,
        4.600366278932729,
        4.600386781248175,
        4.600406806765588,
        4.600426832283001,
        4.6004468578004145,
        4.600466883317828,
        4.600487385633275,
        4.600507411150688,
        4.600527436668101,
        4.6005474621855145,
        4.600567964500962,
        4.600587990018375,
        4.600608015535788,
        4.600628041053201,
        4.600648066570614,
        4.600668092088028,
        4.600688594403475,
        4.600708619920888,
        4.600728645438301,
        4.600748670955714,
        4.600768696473128,
        4.600789198788574,
        4.600809224305987,
        4.6008292498234,
        4.6008492753408134,
        4.600869300858227,
        4.60088932637564,
        4.600909828691087,
        4.6009298542085,
        4.600949879725913,
        4.600969905243327,
        4.60098993076074,
        4.601009956278153,
        4.601029981795566,
        4.601050007312979,
        4.601070509628427,
        4.60109053514584,
        4.601110560663253,
        4.601130586180666,
        4.601150611698079,
        4.601170637215493,
        4.601190662732906,
        4.601210688250319,
        4.601230713767732,
        4.601251216083179,
        4.6012712416005925,
        4.601291267118006,
        4.601311292635419,
        4.601331318152832,
        4.601351343670245,
        4.6013713691876585,
        4.601391394705072,
        4.601411420222485,
        4.601431445739898,
        4.601451471257311,
        4.601471496774725,
        4.601491522292138,
        4.601511547809551,
        4.601531573326964,
        4.601551598844377,
        4.601571624361791,
        4.601591649879204,
        4.601611675396617,
        4.601632177712063,
        4.601652203229476,
        4.60167222874689,
        4.601692254264304,
        4.601712279781717,
        4.60173230529913,
        4.601752330816543,
        4.6017723563339565,
        4.60179238185137,
        4.601812407368783,
        4.601832432886196,
        4.601852458403609,
        4.6018724839210225,
        4.601892032640402,
        4.601912058157815,
        4.601932083675228,
        4.601972134710055,
        4.602152364366773,
        4.602172389884187,
        4.602212440919013,
        4.602232466436426,
        4.602252015155806,
        4.60227204067322,
        4.602292066190633,
        4.602312091708046,
        4.602332117225459,
        4.602352142742872,
        4.602372168260286,
        4.602392193777699,
        4.602412219295112,
        4.602432244812525,
        4.6024517935319045,
        4.602471819049318,
        4.602491844566731,
        4.602511870084144,
        4.602531895601557,
        4.6025519211189705,
        4.602571946636384,
        4.602591495355763,
        4.602611520873176,
        4.602631546390589,
        4.602651571908003,
        4.602671597425416,
        4.602691622942829,
        4.602711648460242,
        4.602731197179622,
        4.6027512226970355,
        4.602771248214449,
        4.602791273731862,
        4.602811299249275,
        4.602830847968654,
        4.602850873486068,
        4.602870899003481,
        4.602890924520894,
        4.602910950038307,
        4.602930498757687,
        4.6029505242751005,
        4.602970549792514,
        4.602990575309927,
        4.60301060082734,
        4.603030149546719,
        4.603050175064133,
        4.603070200581546,
        4.603090226098959,
        4.603109774818338,
        4.6031298003357515,
        4.603149825853165,
        4.603169851370578,
        4.603189400089958,
        4.603209425607371,
        4.603229451124784,
        4.603249476642198,
        4.603269025361577,
        4.60328905087899,
        4.603309076396403,
        4.6033291019138165,
        4.603348650633197,
        4.60336867615061,
        4.603388701668023,
        4.603408250387402,
        4.6034282759048155,
        4.603448301422229,
        4.603468326939642,
        4.603487875659021,
        4.603507901176434,
        4.603527926693848,
        4.603547475413228,
        4.603567500930641,
        4.603587526448054,
        4.603607075167433,
        4.603627100684847,
        4.60364712620226,
        4.603666674921639,
        4.603686700439052,
        4.6037067259564655,
        4.603726274675846,
        4.603746300193259,
        4.603766325710672,
        4.603785874430051,
        4.6038058999474645,
        4.603825925464878,
        4.603845474184257,
        4.60386549970167,
        4.603885525219084,
        4.6039050739384635,
        4.603925099455877,
        4.603944648175256,
        4.603964673692669,
        4.603984699210082,
        4.6040042479294625,
        4.604024273446876,
        4.604043822166255,
        4.604063847683668,
        4.604083873201081,
        4.604103421920461,
        4.604123447437874,
        4.604142996157254,
        4.604163021674667,
        4.60418304719208,
        4.60420259591146,
        4.604222621428873,
        4.604242170148252,
        4.604262195665665,
        4.6042817443850454,
        4.604301769902459,
        4.604321318621838,
        4.604341344139251,
        4.604361369656664,
        4.604380918376044,
        4.604400943893457,
        4.604420492612837,
        4.60444051813025,
        4.604460066849629,
        4.604480092367043,
        4.604499641086423,
        4.604519666603836,
        4.604539215323215,
        4.604559240840628,
        4.604578789560008,
        4.604598815077421,
        4.604618363796801,
        4.604638389314214,
        4.6046579380335935,
        4.604677963551007,
        4.604697512270386,
        4.604717537787799,
        4.604737086507179,
        4.6047571120245925,
        4.604776660743972,
        4.604796686261385,
        4.604816234980764,
        4.604836260498177,
        4.6048558092175575,
        4.604875834734971,
        4.60489538345435,
        4.604914932173729,
        4.6049349576911425,
        4.604954506410523,
        4.604974531927936,
        4.604994080647315,
        4.605014106164728,
        4.605033654884108,
        4.605053203603488,
        4.605073229120901,
        4.60509277784028,
        4.605112803357693,
        4.6051323520770735,
        4.605152377594487,
        4.605171926313866,
        4.605191475033245,
        4.605211500550658,
        4.605231049270039,
        4.605251074787452,
        4.605270623506831,
        4.60529017222621,
        4.6053101977436235,
        4.605329746463004,
        4.605349295182383,
        4.605369320699796,
        4.605388869419175,
        4.605408894936589,
        4.605428443655969,
        4.605447992375348,
        4.605468017892761,
        4.60548756661214,
        4.605507115331521,
        4.605527140848934,
        4.605546689568313,
        4.605566238287693,
        4.605586263805106,
        4.605605812524486,
        4.605625361243865,
        4.605645386761278,
        4.605664935480658,
        4.6056844842000375,
        4.605704509717451,
        4.60572405843683,
        4.60574360715621,
        4.605763155875589,
        4.605783181393003,
        4.605802730112382,
        4.605822278831762,
        4.605842304349175,
        4.6058618530685544,
        4.605881401787934,
        4.605901427305347,
        4.605920976024727,
        4.605940524744106,
        4.605960073463486,
        4.605980098980899,
        4.605999647700279,
        4.606019196419658,
        4.606038745139037,
        4.606058770656451,
        4.606078319375831,
        4.60609786809521,
        4.60611741681459,
        4.606137442332003,
        4.606156991051383,
        4.606176539770762,
        4.606196088490142,
        4.606215637209521,
        4.6062356627269345,
        4.606255211446314,
        4.606274760165694,
        4.606294308885073,
        4.606314334402486,
        4.606333883121866,
        4.606353431841246,
        4.606372980560625,
        4.606392529280004,
        4.6064125547974175,
        4.606432103516798,
        4.606451652236177,
        4.606471200955556,
        4.606490749674936,
        4.606510298394316,
        4.606530323911729,
        4.606549872631108,
        4.606569421350488,
        4.6065889700698675,
        4.606608518789247,
        4.606628067508627,
        4.60664809302604,
        4.606667641745419,
        4.6066871904647995,
        4.606706739184179,
        4.606726287903558,
        4.606745836622938,
        4.606765385342317,
        4.606784934061697,
        4.60680495957911,
        4.60682450829849,
        4.606844057017869,
        4.6068636057372485,
        4.606883154456629,
        4.606902703176008,
        4.606922251895387,
        4.606941800614767,
        4.606961349334147,
        4.606980898053526,
        4.607000923570939,
        4.607020472290319,
        4.6070400210096984,
        4.607059569729078,
        4.607079118448458,
        4.607098667167837,
        4.607118215887216,
        4.6071377646065965,
        4.607157313325976,
        4.607176862045356,
        4.607196410764735,
        4.607215959484114,
        4.607235508203495,
        4.607255056922874,
        4.607274605642253,
        4.607294154361633,
        4.6073137030810125,
        4.607333728598426,
        4.607353277317805,
        4.607372826037185,
        4.607392374756564,
        4.607411923475944,
        4.607431472195324,
        4.607451020914703,
        4.607470569634082,
        4.6074901183534624,
        4.607509667072842,
        4.607529215792221,
        4.607548764511601,
        4.60756831323098,
        4.60758786195036,
        4.60760741066974,
        4.607626959389119,
        4.607646508108498,
        4.6076655800298445,
        4.607685128749224,
        4.607704677468604,
        4.607724226187983,
        4.607743774907363,
        4.607763323626743,
        4.607782872346122,
        4.607802421065502,
        4.607821969784881,
        4.6078415185042605,
        4.607861067223641,
        4.60788061594302,
        4.607900164662399,
        4.607919713381779,
        4.607939262101159,
        4.607958810820538,
        4.607978359539918,
        4.607997431461263,
        4.608016980180643,
        4.608036528900023,
        4.608056077619402,
        4.608075626338782,
        4.608095175058161,
        4.608114723777541,
        4.608134272496921,
        4.6081538212163,
        4.608173369935679,
        4.6081924418570255,
        4.608211990576405,
        4.608231539295785,
        4.608251088015164,
        4.608270636734544,
        4.6082901854539235,
        4.608309734173303,
        4.608328806094649,
        4.608348354814028,
        4.608367903533408,
        4.608387452252788,
        4.608407000972167,
        4.608426549691547,
        4.608446098410926,
        4.6084651703322725,
        4.608484719051652,
        4.608504267771031,
        4.608523816490411,
        4.6085433652097905,
        4.608562437131137,
        4.608581985850516,
        4.608601534569895,
        4.608621083289275,
        4.608640632008655,
        4.608660180728034,
        4.60867925264938,
        4.608698801368759,
        4.6087183500881395,
        4.608737898807519,
        4.608756970728865,
        4.608776519448244,
        4.608796068167623,
        4.608815616887004,
        4.608835165606383,
        4.608854237527729,
        4.608873786247108,
        4.6088933349664885,
        4.608912883685868,
        4.608931955607214,
        4.608951504326593,
        4.608971053045972,
        4.608990601765353,
        4.609009673686698,
        4.609029222406078,
        4.609048771125457,
        4.609068319844837,
        4.609087391766183,
        4.609106940485562,
        4.609126489204942,
        4.6091455611262875,
        4.609165109845668,
        4.609184658565047,
        4.609204207284426,
        4.609223279205772,
        4.609242827925152,
        4.609262376644532,
        4.609281448565877,
        4.609300997285257,
        4.6093205460046365,
        4.609339617925983,
        4.609359166645362,
        4.609378715364742,
        4.609397787286087,
        4.6094173360054675,
        4.609436884724847,
        4.609455956646193,
        4.609475505365572,
        4.6094950540849515,
        4.609611392805162,
        4.609650013445887,
        4.609727254727338,
        4.6097468034467175,
        4.609765875368064,
        4.609785424087443,
        4.609804972806823,
        4.609824044728168,
        4.609843593447549,
        4.609862665368894,
        4.609882214088274,
        4.609901762807653,
        4.6099208347289995,
        4.609940383448379,
        4.609959455369725,
        4.609979004089104,
        4.609998552808484,
        4.61001762472983,
        4.61003717344921,
        4.610056245370555,
        4.610075794089935,
        4.610094866011281,
        4.610114414730661,
        4.610133486652006,
        4.610153035371386,
        4.6101721072927315,
        4.610191656012112,
        4.610211204731491,
        4.610230276652837,
        4.610249825372216,
        4.610268897293563,
        4.610288446012942,
        4.610307517934288,
        4.610327066653667,
        4.6103461385750135,
        4.610365687294393,
        4.610384759215739,
        4.610404307935118,
        4.610423379856464,
        4.610442928575844,
        4.61046200049719,
        4.610481549216569,
        4.610500621137915,
        4.610520169857295,
        4.610539241778641,
        4.610558313699987,
        4.610577862419366,
        4.6105969343407125,
        4.610616483060092,
        4.610635554981438,
        4.610655103700817,
        4.610674175622163,
        4.610693724341543,
        4.610712796262889,
        4.610732344982268,
        4.610751416903614,
        4.61077048882496,
        4.61079003754434,
        4.610809109465685,
        4.610828658185065,
        4.610847730106411,
        4.610867278825791,
        4.610886350747136,
        4.610905422668482,
        4.6109249713878615,
        4.610944043309208,
        4.610963592028587,
        4.610982663949933,
        4.611001735871279,
        4.611021284590659,
        4.611040356512005,
        4.611059905231384,
        4.61107897715273,
        4.6110980490740765,
        4.611117597793456,
        4.611136669714802,
        4.611155741636147,
        4.611175290355527,
        4.611194362276873,
        4.611213910996253,
        4.611232982917598,
        4.611252054838944,
        4.611271603558324,
        4.61129067547967,
        4.611309747401016,
        4.611329296120395,
        4.6113483680417415,
        4.611367439963087,
        4.611386988682467,
        4.611406060603812,
        4.6114251325251585,
        4.611444681244538,
        4.611463753165884,
        4.61148282508723,
        4.6115018970085755,
        4.611521445727956,
        4.611540517649302,
        4.611559589570647,
        4.611579138290027,
        4.611598210211373,
        4.611617282132719,
        4.611636830852098,
        4.611655902773444,
        4.6116749746947905,
        4.611694046616136,
        4.611713595335516,
        4.611732667256861,
        4.6117517391782075,
        4.611770811099554,
        4.611790359818933,
        4.611809431740279,
        4.6118285036616244,
        4.611847575582971,
        4.61186712430235,
        4.611886196223696,
        4.611905268145042,
        4.611924340066388,
        4.611943888785768,
        4.611962960707113,
        4.611982032628459,
        4.6120011045498055,
        4.612020653269185,
        4.612039725190531,
        4.612058797111876,
        4.6120778690332225,
        4.612096940954569,
        4.612116489673948,
        4.612135561595294,
        4.61215463351664,
        4.612173705437986,
        4.612192777359332,
        4.612212326078711,
        4.612231398000057,
        4.6122504699214035,
        4.612269541842749,
        4.612288613764095,
        4.612307685685441,
        4.6123272344048205,
        4.612346306326167,
        4.612365378247512,
        4.612384450168858,
        4.612403522090204,
        4.61242259401155,
        4.612441665932896,
        4.612461214652275,
        4.612480286573621,
        4.612499358494968,
        4.612518430416313,
        4.612537502337659,
        4.612556574259005,
        4.612575646180351,
        4.612595194899731,
        4.612614266821076,
        4.612633338742422,
        4.6126524106637685,
        4.612671482585115,
        4.61269055450646,
        4.612709626427806,
        4.6127286983491524,
        4.612747770270498,
        4.612766842191844,
        4.612786390911223,
        4.612805462832569,
        4.612824534753916,
        4.612843606675261,
        4.612862678596607,
        4.612881750517953,
        4.612900822439299,
        4.612919894360645,
        4.612938966281991,
        4.612958038203336,
        4.612977110124683,
        4.612996182046029,
        4.613015253967374,
        4.61303432588872,
        4.6130533978100665,
        4.613072469731412,
        4.613091541652758,
        4.613111090372137,
        4.6131301622934835,
        4.61314923421483,
        4.613168306136175,
        4.613187378057521,
        4.613206449978867,
        4.613225521900214,
        4.613244593821559,
        4.613263665742905,
        4.613282737664251,
        4.613301809585597,
        4.613320881506943,
        4.613339953428289,
        4.613359025349634,
        4.613378097270981,
        4.613397169192327,
        4.613416241113672,
        4.613435313035018,
        4.6134543849563645,
        4.613472980079677,
        4.613492052001022,
        4.613511123922368,
        4.6135301958437145,
        4.61354926776506,
        4.613568339686406,
        4.613587411607752,
        4.6136064835290975,
        4.613625555450444,
        4.61364462737179,
        4.613663699293135,
        4.6136827712144814,
        4.613701843135828,
        4.613720915057173,
        4.613739986978519,
        4.613759058899865,
        4.613778130821212,
        4.613796725944524,
        4.613815797865869,
        4.613834869787215,
        4.613853941708562,
        4.613873013629907,
        4.613892085551253,
        4.613911157472599,
        4.613930229393945,
        4.613949301315291,
        4.613968373236637,
        4.613986968359949,
        4.614006040281295,
        4.614025112202641,
        4.614044184123987,
        4.614063256045332,
        4.6140823279666785,
        4.614101399888025,
        4.614119995011337,
        4.614139066932682,
        4.6141581388540285,
        4.614177210775375,
        4.61419628269672,
        4.614215354618066,
        4.614234426539412,
        4.614253021662725,
        4.61427209358407,
        4.614291165505416,
        4.614310237426762,
        4.614329309348109,
        4.614348381269454,
        4.614366976392766,
        4.614386048314112,
        4.614405120235459,
        4.614424192156804,
        4.61444326407815,
        4.614461859201462,
        4.6144809311228085,
        4.614500003044154,
        4.6145190749655,
        4.614538146886846,
        4.6145567420101585,
        4.614575813931504,
        4.61459488585285,
        4.614613957774196,
        4.6146325528975085,
        4.614651624818854,
        4.6146706967402,
        4.614689768661546,
        4.6147083637848585,
        4.614727435706204,
        4.61474650762755,
        4.614765579548896,
        4.6147841746722085,
        4.614803246593554,
        4.6148223185149,
        4.614841390436246,
        4.6148599855595585,
        4.614879057480905,
        4.61489812940225,
        4.614917201323596,
        4.614935796446908,
        4.614954868368255,
        4.6149739402896,
        4.614992535412912,
        4.615011607334258,
        4.615030679255605,
        4.61504975117695,
        4.615068346300262,
        4.615087418221608,
        4.615106490142955,
        4.615125085266267,
        4.615144157187612,
        4.615163229108958,
        4.615181824232271,
        4.615200896153617,
        4.615219968074962,
        4.615238563198274,
        4.615257635119621,
        4.615276707040967,
        4.615295302164279,
        4.615314374085624,
        4.615333446006971,
        4.615352041130283,
        4.615371113051629,
        4.615390184972975,
        4.6154087800962875,
        4.615427852017633,
        4.615446447140945,
        4.615465519062291,
        4.6154845909836375,
        4.61550318610695,
        4.615522258028295,
        4.615541329949641,
        4.6155599250729535,
        4.6155789969943,
        4.615597592117612,
        4.615616664038957,
        4.6156357359603035,
        4.615654331083616,
        4.615673403004962,
        4.615691998128274,
        4.61571107004962,
        4.615730141970966,
        4.615748737094278,
        4.615767809015624,
        4.6157864041389365,
        4.615805476060282,
        4.615824071183594,
        4.61584314310494,
        4.6158617382282525,
        4.615880810149599,
        4.615899882070944,
        4.615918477194257,
        4.6159375491156025,
        4.615956144238915,
        4.615975216160261,
        4.615993811283573,
        4.616012883204919,
        4.616031478328232,
        4.616050550249577,
        4.616069145372889,
        4.6160882172942355,
        4.616106812417548,
        4.616125884338894,
        4.616144479462206,
        4.6161635513835515,
        4.616182623304898,
        4.61620121842821,
        4.616220290349556,
        4.616238885472868,
        4.616257480596181,
        4.616276552517526,
        4.616295147640838,
        4.6163142195621845,
        4.616332814685497,
        4.616351886606843,
        4.616370481730155,
        4.6163895536515005,
        4.616408148774813,
        4.616427220696159,
        4.616445815819471,
        4.616464887740817,
        4.61648348286413,
        4.616502554785476,
        4.616521149908788,
        4.6165397450321,
        4.616558816953446,
        4.616577412076758,
        4.616596483998104,
        4.616615079121416,
        4.616634151042763,
        4.616652746166075,
        4.616671341289387,
        4.6166904132107325,
        4.616709008334045,
        4.616728080255391,
        4.616746675378703,
        4.616765747300049,
        4.616784342423362,
        4.616802937546674,
        4.616822009468019,
        4.6168406045913315,
        4.616859676512678,
        4.61687827163599,
        4.616896866759302,
        4.616915938680648,
        4.616934533803961,
        4.616953128927273,
        4.616972200848618,
        4.6169907959719305,
        4.617009867893277,
        4.617028463016589,
        4.617047058139901,
        4.617066130061247,
        4.61708472518456,
        4.617103320307872,
        4.617122392229218,
        4.617178654397188,
        4.6171972495205,
        4.617422298192382,
        4.6174408933156945,
        4.617459488439007,
        4.617478560360353,
        4.617497155483665,
        4.6175157506069775,
        4.61753434573029,
        4.617553417651635,
        4.617572012774948,
        4.6175906078982605,
        4.617609203021573,
        4.617628274942918,
        4.61764687006623,
        4.617665465189543,
        4.617684060312855,
        4.617703132234201,
        4.617721727357513,
        4.6177403224808256,
        4.617758917604138,
        4.617777989525484,
        4.617796584648796,
        4.6178151797721085,
        4.617833774895421,
        4.617852846816766,
        4.617908632186703,
        4.617927227310015,
        4.617946299231361,
        4.617964894354674,
        4.617983489477986,
        4.618002084601298,
        4.61802067972461,
        4.618039751645957,
        4.618058346769269,
        4.618076941892581,
        4.618095537015893,
        4.618114132139206,
        4.618133204060552,
        4.618151799183864,
        4.618170394307176,
        4.618188989430489,
        4.618207584553801,
        4.618226179677113,
        4.618244774800425,
        4.618263846721771,
        4.618282441845083,
        4.618301036968395,
        4.6183196320917075,
        4.61833822721502,
        4.618356822338332,
        4.618375417461644,
        4.6183944893829905,
        4.618413084506303,
        4.618431679629615,
        4.618450274752927,
        4.6184688698762395,
        4.618487464999552,
        4.618506060122864,
        4.618524655246176,
        4.6185432503694885,
        4.618562322290835,
        4.618580917414147,
        4.618599512537459,
        4.6186181076607715,
        4.618636702784084,
        4.618655297907396,
        4.618673893030708,
        4.618692488154021,
        4.618711083277333,
        4.618729678400645,
        4.618748273523957,
        4.61876686864727,
        4.618785940568616,
        4.618804535691928,
        4.61882313081524,
        4.618841725938553,
        4.618860321061865,
        4.618878916185177,
        4.618897511308489,
        4.618916106431802,
        4.618934701555114,
        4.618953296678426,
        4.618971891801738,
        4.618990486925051,
        4.619009082048363,
        4.619027677171675,
        4.619046272294987,
        4.6190648674183,
        4.619083462541612,
        4.619102057664924,
        4.6191206527882365,
        4.619139247911549,
        4.619157843034861,
        4.619176438158173,
        4.6191950332814855,
        4.619213628404798,
        4.61923222352811,
        4.619250818651422,
        4.6192694137747345,
        4.619288008898047,
        4.619306604021359,
        4.619325199144671,
        4.619343794267984,
        4.619362389391296,
        4.619380984514608,
        4.61939957963792,
        4.619418174761233,
        4.619436769884545,
        4.619455365007857,
        4.619473960131169,
        4.619492555254482,
        4.61951067357976,
        4.619529268703072,
        4.6195478638263845,
        4.619566458949697,
        4.619585054073009,
        4.619603649196321,
        4.6196222443196335,
        4.619640839442946,
        4.619659434566258,
        4.61967802968957,
        4.619696624812883,
        4.619715219936195,
        4.619733338261474,
        4.619751933384786,
        4.6197705285080986,
        4.619789123631411,
        4.619807718754723,
        4.619826313878035,
        4.619844909001348,
        4.61986350412466,
        4.619882099247972,
        4.61990021757325,
        4.619918812696563,
        4.619937407819875,
        4.619956002943187,
        4.6199745980664995,
        4.619993193189812,
        4.620011788313124,
        4.620029906638403,
        4.620048501761715,
        4.620067096885028,
        4.62008569200834,
        4.620104287131652,
        4.6201228822549645,
        4.620141477378277,
        4.620159595703555,
        4.620178190826867,
        4.62019678595018,
        4.620215381073492,
        4.620233976196804,
        4.620252094522082,
        4.620270689645395,
        4.620289284768707,
        4.62030787989202,
        4.620326475015332,
        4.620344593340611,
        4.620363188463923,
        4.620381783587235,
        4.620400378710547,
        4.62041897383386,
        4.620437092159138,
        4.62045568728245,
        4.6204742824057625,
        4.620492877529075,
        4.620510995854354,
        4.620529590977666,
        4.6205481861009785,
        4.620566781224291,
        4.620585376347603,
        4.620603494672881,
        4.620622089796194,
        4.620640684919506,
        4.620659280042818,
        4.620677398368096,
        4.620695993491409,
        4.620714588614721,
        4.62073270694,
        4.620751302063312,
        4.620769897186625,
        4.620788492309937,
        4.620806610635215,
        4.6208252057585275,
        4.62084380088184,
        4.620862396005152,
        4.620880514330431,
        4.6208991094537435,
        4.620917704577056,
        4.620935822902334,
        4.620954418025646,
        4.620973013148959,
        4.620991131474237,
        4.621009726597549,
        4.621028321720861,
        4.621046440046141,
        4.621065035169453,
        4.621083630292765,
        4.6211017486180435,
        4.621120343741356,
        4.621138938864668,
        4.621157057189946,
        4.6211756523132586,
        4.621194247436571,
        4.62121236576185,
        4.621230960885162,
        4.6212495560084745,
        4.621267674333753,
        4.621286269457065,
        4.621304864580377,
        4.621322982905656,
        4.621341578028968,
        4.621359696354247,
        4.621378291477559,
        4.621396886600872,
        4.62141500492615,
        4.621433600049462,
        4.6214521951727745,
        4.621470313498054,
        4.621488908621366,
        4.621507026946644,
        4.6215256220699565,
        4.621544217193269,
        4.621562335518547,
        4.621580930641859,
        4.621599048967139,
        4.621617644090451,
        4.621636239213763,
        4.621654357539041,
        4.621672952662354,
        4.621691070987632,
        4.621709666110944,
        4.6217277844362235,
        4.621746379559536,
        4.621764497884814,
        4.621783093008126,
        4.6218016881314385,
        4.621819806456717,
        4.621838401580029,
        4.621856519905308,
        4.621875115028621,
        4.621893233353899,
        4.621911828477211,
        4.6219299468024895,
        4.621948541925803,
        4.621966660251081,
        4.621985255374393,
        4.6220033736996715,
        4.622021968822984,
        4.622040087148263,
        4.622058682271575,
        4.6220768005968536,
        4.622095395720166,
        4.622113514045444,
        4.622132109168756,
        4.622150227494036,
        4.622168822617348,
        4.622186940942626,
        4.622205536065938,
        4.622223654391217,
        4.622242249514529,
        4.622260367839808,
        4.6222789629631205,
        4.622297081288399,
        4.622315676411711,
        4.622333794736989,
        4.622352389860302,
        4.622370508185581,
        4.622389103308893,
        4.622407221634171,
        4.62242533995945,
        4.622443935082762,
        4.622462053408041,
        4.622480648531353,
        4.622498766856632,
        4.622517361979944,
        4.622535480305223,
        4.6225540754285355,
        4.622572193753814,
        4.622590312079092,
        4.622608907202404,
        4.622627025527684,
        4.622645620650996,
        4.622663738976274,
        4.6226818573015525,
        4.622700452424865,
        4.622718570750144,
        4.622737165873456,
        4.6227552841987345,
        4.622773402524013,
        4.622791997647325,
        4.622810115972604,
        4.6228287110959165,
        4.622846829421195,
        4.622864947746473,
        4.622883542869785,
        4.622901661195065,
        4.622919779520343,
        4.622938374643655,
        4.6229564929689335,
        4.622974611294213,
        4.622993206417525,
        4.623011324742803,
        4.623029443068082,
        4.623048038191395,
        4.623066156516673,
        4.623084274841951,
        4.623102869965264,
        4.623120988290543,
        4.623139106615821,
        4.623157701739133,
        4.623175820064412,
        4.623193938389691,
        4.623212533513003,
        4.6232306518382815,
        4.62324877016356,
        4.623267365286872,
        4.623285483612151,
        4.62330360193743,
        4.623322197060742,
        4.62334031538602,
        4.623358433711299,
        4.623376552036578,
        4.62339514715989,
        4.623413265485168,
        4.6234313838104475,
        4.62344997893376,
        4.623468097259038,
        4.623486215584316,
        4.623504333909596,
        4.623522929032908,
        4.623541047358186,
        4.6235591656834645,
        4.623577284008744,
        4.623595879132056,
        4.623613997457334,
        4.6236321157826135,
        4.623650234107892,
        4.623668829231204,
        4.623686947556482,
        4.6237050658817616,
        4.62372318420704,
        4.623741302532318,
        4.6237598976556304,
        4.62377801598091,
        4.623796134306188,
        4.623814252631466,
        4.6238328477547785,
        4.623850966080058,
        4.623869084405336,
        4.623887202730614,
        4.623905321055894,
        4.623923916179206,
        4.623942034504484,
        4.6239601528297625,
        4.623978271155042,
        4.62399638948032,
        4.624014984603632,
        4.624033102928911,
        4.62405122125419,
        4.624069339579468,
        4.624087457904746,
        4.624105576230026,
        4.624124171353338,
        4.624142289678616,
        4.624160408003895,
        4.624178526329174,
        4.624196644654452,
        4.624214762979731,
        4.6242328813050095,
        4.624251476428322,
        4.6242695947536,
        4.624287713078879,
        4.624305831404158,
        4.624323949729436,
        4.624342068054715,
        4.6243601863799935,
        4.624378304705272,
        4.624396899828584,
        4.624415018153863,
        4.624433136479142,
        4.62445125480442,
        4.624469373129699,
        4.624487491454977,
        4.624505609780256,
        4.624523728105535,
        4.624541846430813,
        4.6245599647560915,
        4.624578559879404,
        4.624596678204683,
        4.624614796529961,
        4.62463291485524,
        4.624651033180519,
        4.624669151505797,
        4.624687269831076,
        4.624705388156355,
        4.624723506481633,
        4.624741624806912,
        4.6247597431321905,
        4.624777861457469,
        4.624795979782748,
        4.624814098108026,
        4.624832216433305,
        4.624850334758584,
        4.624868453083862,
        4.6248870482071744,
        4.62494140318301,
        4.624959521508289,
        4.625122586435796,
        4.625140704761075,
        4.625158823086354,
        4.625176941411632,
        4.625195059736911,
        4.6252131780621895,
        4.625249414712747,
        4.625267056239992,
        4.6252851745652706,
        4.625303292890549,
        4.625321411215828,
        4.625339529541106,
        4.625357647866385,
        4.625375766191664,
        4.625393884516942,
        4.6254120028422205,
        4.6254301211675,
        4.625448239492778,
        4.625466357818056,
        4.625484476143336,
        4.625628945947531,
        4.625647064272809,
        4.625701419248645,
        4.625719537573923,
        4.6257376558992025,
        4.625755774224481,
        4.625773415751726,
        4.625791534077004,
        4.625809652402284,
        4.625827770727562,
        4.62584588905284,
        4.625864007378119,
        4.625882125703398,
        4.625900244028676,
        4.625917885555921,
        4.6259360038812,
        4.625954122206479,
        4.625972240531757,
        4.6259903588570355,
        4.626008477182315,
        4.626026118709559,
        4.626044237034838,
        4.626062355360117,
        4.626080473685395,
        4.626098592010674,
        4.626116710335952,
        4.626134351863198,
        4.626152470188476,
        4.626170588513754,
        4.6261887068390335,
        4.626206825164312,
        4.62622494348959,
        4.626242585016835,
        4.626260703342114,
        4.626278821667393,
        4.626296939992671,
        4.62631505831795,
        4.626332699845195,
        4.626350818170474,
        4.626368936495752,
        4.626387054821031,
        4.626404696348276,
        4.626422814673554,
        4.626440932998833,
        4.626459051324112,
        4.62647716964939,
        4.626494811176635,
        4.626512929501914,
        4.626531047827193,
        4.626549166152471,
        4.626566807679716,
        4.626584926004995,
        4.626603044330273,
        4.626621162655552,
        4.626638804182797,
        4.626656922508076,
        4.626675040833354,
        4.626693159158632,
        4.626710800685878,
        4.626728919011156,
        4.626747037336435,
        4.62676467886368,
        4.626782797188959,
        4.626800915514237,
        4.626819033839515,
        4.626836675366761,
        4.626854793692039,
        4.626872912017318,
        4.6268905535445635,
        4.626908671869842,
        4.62692679019512,
        4.626944431722365,
        4.626962550047644,
        4.626980668372923,
        4.626998786698201,
        4.6270164282254465,
        4.627034546550725,
        4.627052664876003,
        4.627070306403248,
        4.627088424728527,
        4.627106543053806,
        4.62712418458105,
        4.627142302906329,
        4.627160421231608,
        4.627178062758853,
        4.627196181084131,
        4.627213822611377,
        4.627231940936655,
        4.627250059261933,
        4.6272677007891785,
        4.627285819114457,
        4.627303937439736,
        4.62732157896698,
        4.62733969729226,
        4.627357815617538,
        4.627375457144783,
        4.6273935754700615,
        4.627411216997307,
        4.627429335322585,
        4.627447453647864,
        4.627465095175109,
        4.627483213500388,
        4.627500855027632,
        4.627518973352911,
        4.62753709167819,
        4.627554733205435,
        4.627572851530713,
        4.6275904930579586,
        4.627608611383237,
        4.627626252910482,
        4.6276443712357604,
        4.627662489561039,
        4.627680131088284,
        4.627698249413562,
        4.627715890940808,
        4.627734009266086,
        4.627751650793331,
        4.6277697691186095,
        4.627787887443889,
        4.627805528971133,
        4.627823647296412,
        4.627841288823657,
        4.627859407148936,
        4.62787704867618,
        4.627895167001459,
        4.627912808528704,
        4.627930926853983,
        4.627948568381227,
        4.627966686706507,
        4.627984328233752,
        4.62800244655903,
        4.628020088086275,
        4.628038206411554,
        4.628055847938799,
        4.628073966264077,
        4.628091607791323,
        4.628109726116601,
        4.628127367643846,
        4.6281454859691245,
        4.62816312749637,
        4.628181245821648,
        4.628198887348893,
        4.628217005674172,
        4.628234647201417,
        4.628252765526695,
        4.62827040705394,
        4.628288525379219,
        4.628306166906464,
        4.628324285231742,
        4.628341926758988,
        4.628360045084266,
        4.628377686611511,
        4.6283953281387555,
        4.628413446464035,
        4.628431087991279,
        4.628449206316558,
        4.628466847843803,
        4.628484966169082,
        4.628502607696327,
        4.6285202492235715,
        4.628538367548851,
        4.628556009076095,
        4.628574127401374,
        4.628591768928619,
        4.628609887253898,
        4.628627528781142,
        4.6286451703083875,
        4.628663288633666,
        4.628680930160911,
        4.628699048486189,
        4.628716690013435,
        4.62873433154068,
        4.628752449865958,
        4.6287700913932035,
        4.628788209718482,
        4.628805851245727,
        4.6288234927729714,
        4.628841611098251,
        4.628859252625495,
        4.62887689415274,
        4.628895012478019,
        4.628912654005264,
        4.628930772330542,
        4.628948413857787,
        4.628966055385033,
        4.628984173710311,
        4.629001815237556,
        4.629019456764801,
        4.62903757509008,
        4.629055216617325,
        4.6290728581445695,
        4.629090976469849,
        4.629108617997093,
        4.629126259524338,
        4.629144377849617,
        4.629162019376862,
        4.629179660904107,
        4.6291977792293855,
        4.629215420756631,
        4.629233062283875,
        4.62925070381112,
        4.629268822136399,
        4.629286463663644,
        4.629304105190889,
        4.6293222235161675,
        4.629339865043413,
        4.629357506570657,
        4.629375624895936,
        4.629393266423181,
        4.629410907950426,
        4.629428549477671,
        4.6294466678029496,
        4.629464309330195,
        4.629481950857439,
        4.6294995923846844,
        4.629517710709963,
        4.629535352237208,
        4.629552993764453,
        4.629571112089732,
        4.629588753616977,
        4.629606395144222,
        4.6296240366714665,
        4.629642154996746,
        4.62965979652399,
        4.629677438051235,
        4.629695079578481,
        4.629712721105725,
        4.629730839431004,
        4.6297484809582485,
        4.629766122485494,
        4.629783764012739,
        4.629801882338017,
        4.629819523865263,
        4.629837165392507,
        4.629854806919752,
        4.6298724484469975,
        4.629890566772276,
        4.629908208299521,
        4.6299258498267655,
        4.629943491354011,
        4.629961132881256,
        4.629979251206534,
        4.62999689273378,
        4.630014534261024,
        4.630032175788269,
        4.6300498173155145,
        4.630067458842759,
        4.630085577168038,
        4.630103218695282,
        4.630120860222528,
        4.630138501749773,
        4.630156143277018,
        4.630173784804263,
        4.630191903129542,
        4.630209544656786,
        4.630227186184031,
        4.630244827711277,
        4.630262469238521,
        4.630280110765766,
        4.6302977522930115,
        4.63031587061829,
        4.630333512145535,
        4.6303511536727795,
        4.630368795200025,
        4.63038643672727,
        4.630404078254514,
        4.63042171978176,
        4.630439361309005,
        4.630457002836249,
        4.6304751211615285,
        4.630492762688773,
        4.630510404216018,
        4.630528045743263,
        4.630545687270508,
        4.630563328797753,
        4.630580970324998,
        4.630598611852243,
        4.630616253379488,
        4.630633894906733,
        4.6306515364339775,
        4.630669654759257,
        4.630687296286501,
        4.630704937813746,
        4.630722579340992,
        4.630740220868237,
        4.630757862395481,
        4.6307755039227265,
        4.630793145449972,
        4.630810786977216,
        4.630828428504461,
        4.630846070031707,
        4.630863711558951,
        4.630881353086196,
        4.630898994613442,
        4.630916636140686,
        4.630934277667931,
        4.6309519191951765,
        4.630969560722421,
        4.630987202249666,
        4.631004843776911,
        4.631022485304156,
        4.631040126831401,
        4.631057768358646,
        4.631075409885891,
        4.631093051413136,
        4.631110692940381,
        4.6311283344676255,
        4.631145975994871,
        4.631163617522116,
        4.63118125904936,
        4.631198900576606,
        4.631216542103851,
        4.631234183631095,
        4.6312518251583406,
        4.631269466685586,
        4.631287108212831,
        4.631304749740075,
        4.631322391267321,
        4.631340032794566,
        4.63135767432181,
        4.631375315849056,
        4.631392957376301,
        4.631410598903545,
        4.6314282404307905,
        4.631445881958036,
        4.63146352348528,
        4.631481165012525,
        4.631498806539771,
        4.631516448067015,
        4.63153408959426,
        4.6315517311215055,
        4.631568895850717,
        4.631586537377961,
        4.6316041789052065,
        4.631621820432452,
        4.631639461959696,
        4.631657103486941,
        4.631674745014187,
        4.631692386541431,
        4.631710028068676,
        4.6317276695959215,
        4.631745311123166,
        4.631762475852377,
        4.6317801173796225,
        4.631797758906868,
        4.631815400434113,
        4.631833041961357,
        4.631850683488603,
        4.631868325015848,
        4.631885966543092,
        4.631903131272304,
        4.631920772799549,
        4.631938414326794,
        4.6319560558540385,
        4.631973697381284,
        4.631991338908529,
        4.632008980435773,
        4.632026145164985,
        4.63204378669223,
        4.632061428219475,
        4.63207906974672,
        4.632096711273965,
        4.63211435280121,
        4.6321319943284545,
        4.632149159057666,
        4.632166800584911,
        4.632184442112156,
        4.632202083639401,
        4.632219725166646,
        4.632236889895857,
        4.6322545314231025,
        4.632272172950347,
        4.632289814477592,
        4.632307456004837,
        4.632325097532082,
        4.632342262261294,
        4.632359903788538,
        4.632377545315784,
        4.632395186843029,
        4.63241235157224,
        4.6324299930994846,
        4.63244763462673,
        4.632465276153975,
        4.6324829176812194,
        4.632500082410431,
        4.632517723937676,
        4.632535365464921,
        4.632553006992166,
        4.632570171721377,
        4.632587813248622,
        4.6326054547758675,
        4.632623096303112,
        4.632640261032323,
        4.632657902559568,
        4.632675544086814,
        4.632693185614058,
        4.632710350343269,
        4.632727991870515,
        4.63274563339776,
        4.632763274925004,
        4.632780439654216,
        4.632955424532565,
        4.633043155370756,
        4.633060796898001,
        4.633077961627213,
        4.633095603154457,
        4.633113244681702,
        4.633130409410914,
        4.633148050938159,
        4.633165692465403,
        4.6331828571946145,
        4.63320049872186,
        4.633218140249105,
        4.633235304978316,
        4.633252946505561,
        4.633270588032806,
        4.633287752762017,
        4.633305394289263,
        4.633322559018474,
        4.633340200545718,
        4.6333578420729635,
        4.633375006802175,
        4.63339264832942,
        4.6334102898566645,
        4.633427454585877,
        4.633445096113121,
        4.633462260842332,
        4.633479902369578,
        4.633497543896823,
        4.633514708626034,
        4.633532350153279,
        4.63354951488249,
        4.633567156409735,
        4.63358479793698,
        4.633601962666192,
        4.633619604193436,
        4.633636768922647,
        4.633654410449893,
        4.633672051977138,
        4.633689216706349,
        4.633706858233594,
        4.633724022962805,
        4.63374166449005,
        4.6337588292192615,
        4.633776470746507,
        4.633794112273751,
        4.6338112770029625,
        4.633828918530208,
        4.633846083259419,
        4.633863724786664,
        4.633880889515876,
        4.63389853104312,
        4.633915695772331,
        4.633933337299577,
        4.633950978826822,
        4.633968143556033,
        4.633985785083278,
        4.63400294981249,
        4.634020591339734,
        4.634037756068945,
        4.634055397596191,
        4.634072562325402,
        4.634090203852647,
        4.634107368581859,
        4.634125010109103,
        4.634142174838314,
        4.6341598163655595,
        4.634176981094771,
        4.634194622622016,
        4.634211787351227,
        4.634229428878472,
        4.634246593607683,
        4.634264235134928,
        4.63428139986414,
        4.634299041391385,
        4.634316206120596,
        4.634333847647841,
        4.634351012377052,
        4.634368653904297,
        4.6343858186335085,
        4.63440298336272,
        4.634420624889965,
        4.634437789619176,
        4.634455431146421,
        4.634472595875632,
        4.634490237402877,
        4.634507402132089,
        4.634525043659334,
        4.634542208388545,
        4.6345598499157905,
        4.634577014645002,
        4.634594179374213,
        4.6346118209014575,
        4.634628985630669,
        4.634646627157914,
        4.634663791887125,
        4.634680956616337,
        4.634698598143582,
        4.634715762872793,
        4.634733404400038,
        4.6362396093883325,
        4.637815426889539,
        4.637836406003019,
        4.637856908318466,
        4.637877410633912,
        4.637898389747393,
        4.63791889206284,
        4.637939394378287,
        4.637959896693734,
        4.637980875807214,
        4.638001378122661,
        4.6380218804381075,
        4.638042859551589,
        4.638063361867035,
        4.638083864182482,
        4.638104366497929,
        4.638125345611409,
        4.6381458479268565,
        4.638166350242303,
        4.63818685255775,
        4.63820783167123,
        4.638228333986677,
        4.638248836302124,
        4.638269338617571,
        4.638290317731052,
        4.638310820046498,
        4.638331322361945,
        4.638351824677392,
        4.638372326992839,
        4.63839330610632,
        4.638413808421767,
        4.638434310737213,
        4.63845481305266,
        4.638475315368107,
        4.6384962944815875,
        4.638516796797035,
        4.638537299112481,
        4.638557801427928,
        4.638578303743375,
        4.6385988060588215,
        4.638619785172303,
        4.638640287487749,
        4.638660789803196,
        4.638681292118643,
        4.638701794434089,
        4.6387222967495365,
        4.638743275863017,
        4.638763778178464,
        4.638784280493911,
        4.638804782809357,
        4.638825285124804,
        4.6388457874402516,
        4.638866289755698,
        4.638886792071145,
        4.638907771184626,
        4.638928273500072,
        4.6389487758155195,
        4.638969278130967,
        4.638989780446413,
        4.63901028276186,
        4.639030785077307,
        4.639051287392753,
        4.6390717897082006,
        4.639092292023648,
        4.639113271137128,
        4.639133773452575,
        4.639154275768021,
        4.6391747780834685,
        4.639195280398916,
        4.639215782714362,
        4.639236285029809,
        4.639256787345256,
        4.639277289660702,
        4.6392977919761496,
        4.639318294291597,
        4.639338796607043,
        4.63935929892249,
        4.639379801237937,
        4.6394003035533835,
        4.639420805868831,
        4.639441308184278,
        4.639461810499725,
        4.639482312815171,
        4.639502815130618,
        4.6395233174460655,
        4.639543819761512,
        4.639564322076959,
        4.639584824392406,
        4.639605326707852,
        4.6396258290232995,
        4.639646331338747,
        4.639666833654193,
        4.63968733596964,
        4.639707838285087,
        4.639728340600533,
        4.6397488429159806,
        4.639769345231428,
        4.639789847546874,
        4.639810349862321,
        4.639830852177768,
        4.6398513544932145,
        4.639871856808662,
        4.639892359124109,
        4.639912861439555,
        4.639933363755002,
        4.639953866070449,
        4.639974368385896,
        4.639994870701343,
        4.64001537301679,
        4.640035398534203,
        4.64005590084965,
        4.6400764031650965,
        4.640096905480544,
        4.640117407795991,
        4.640137910111437,
        4.640158412426884,
        4.640178914742331,
        4.640199417057778,
        4.640219919373225,
        4.640239944890638,
        4.640260447206085,
        4.640280949521531,
        4.6403014518369785,
        4.640321954152426,
        4.640342456467872,
        4.640362958783319,
        4.640382984300732,
        4.640403486616179,
        4.640423988931626,
        4.640444491247073,
        4.64046499356252,
        4.640485495877966,
        4.640505998193413,
        4.640526023710827,
        4.640546526026274,
        4.640567028341721,
        4.640587530657167,
        4.640608032972614,
        4.6406280584900275,
        4.640648560805475,
        4.640669063120921,
        4.640689565436368,
        4.640710067751815,
        4.640730570067261,
        4.640750595584675,
        4.640771097900122,
        4.640893634994769,
        4.640914137310216,
        4.640934162827629,
        4.640954665143076,
        4.640975167458523,
        4.64099566977397,
        4.641015695291383,
        4.64103619760683,
        4.641056699922276,
        4.64107672543969,
        4.641097227755137,
        4.641117730070584,
        4.641138232386031,
        4.641158257903444,
        4.6411787602188905,
        4.641199262534338,
        4.641219764849785,
        4.641239790367198,
        4.641260292682644,
        4.641280794998091,
        4.641300820515505,
        4.641321322830952,
        4.641341825146398,
        4.641361850663811,
        4.641382352979258,
        4.6414028552947055,
        4.641422880812119,
        4.641443383127565,
        4.641463885443012,
        4.641483910960425,
        4.6415044132758725,
        4.641524915591319,
        4.641544941108732,
        4.641565443424179,
        4.641585945739626,
        4.641605971257039,
        4.641626473572486,
        4.641646975887933,
        4.641667001405346,
        4.641687503720793,
        4.641707529238206,
        4.6417280315536535,
        4.6417485338691,
        4.641768559386513,
        4.64178906170196,
        4.641809564017407,
        4.6418295895348205,
        4.641850091850267,
        4.64187011736768,
        4.641890619683127,
        4.641911121998574,
        4.6419311475159875,
        4.641951649831434,
        4.641971675348847,
        4.641992177664294,
        4.642012203181707,
        4.642032705497154,
        4.642053207812601,
        4.642073233330014,
        4.642093735645461,
        4.642113761162874,
        4.642134263478321,
        4.642154288995735,
        4.642174791311181,
        4.642194816828595,
        4.642215319144041,
        4.642235344661454,
        4.6422558469769015,
        4.642275872494315,
        4.642296374809762,
        4.642316877125208,
        4.642336902642621,
        4.6423574049580685,
        4.642377430475482,
        4.642397932790929,
        4.642417958308342,
        4.642438460623788,
        4.6424584861412015,
        4.642478988456649,
        4.642499013974062,
        4.642519516289509,
        4.642539541806922,
        4.642559567324335,
        4.642580069639782,
        4.642600095157195,
        4.642620597472642,
        4.642640622990055,
        4.642661125305502,
        4.6426811508229155,
        4.642701653138362,
        4.642721678655775,
        4.642742180971222,
        4.642762206488635,
        4.642782232006049,
        4.642802734321496,
        4.642822759838909,
        4.642843262154356,
        4.642863287671769,
        4.6428837899872155,
        4.642903815504629,
        4.642923841022042,
        4.642944343337489,
        4.642964368854902,
        4.642984871170349,
        4.643004896687763,
        4.643024922205176,
        4.643045424520622,
        4.643065450038035,
        4.643085952353482,
        4.643105977870896,
        4.643126003388309,
        4.643146505703756,
        4.643166531221169,
        4.643186556738582,
        4.643207059054029,
        4.643227084571442,
        4.643247110088855,
        4.643267612404302,
        4.643287637921715,
        4.6433081402371625,
        4.643328165754576,
        4.643348191271989,
        4.643368693587436,
        4.643388719104849,
        4.6434087446222625,
        4.643428770139676,
        4.643449272455122,
        4.643469297972535,
        4.643489323489948,
        4.6435098258053955,
        4.643529851322809,
        4.643549876840222,
        4.643570379155669,
        4.643590404673082,
        4.6436104301904955,
        4.643630932505942,
        4.643650958023355,
        4.643670983540768,
        4.643691009058181,
        4.6437115113736285,
        4.643731536891042,
        4.643751562408455,
        4.643771587925868,
        4.643792090241315,
        4.643812115758728,
        4.643832141276142,
        4.643852166793555,
        4.643872669109002,
        4.643892694626415,
        4.643912720143828,
        4.643932745661242,
        4.643953247976688,
        4.643973273494101,
        4.643993299011514,
        4.6440133245289275,
        4.644033350046341,
        4.644053852361788,
        4.644073877879201,
        4.644093903396614,
        4.644113928914027,
        4.644134431229475,
        4.644154456746888,
        4.644174482264301,
        4.644194507781714,
        4.644214533299127,
        4.644234558816541,
        4.644255061131987,
        4.6442750866494,
        4.644295112166813,
        4.644315137684226,
        4.64433516320164,
        4.644355188719053,
        4.6443756910345,
        4.644395716551913,
        4.644415742069326,
        4.64443576758674,
        4.644455793104153,
        4.644475818621566,
        4.644495844138979,
        4.644516346454426,
        4.6445363719718396,
        4.644556397489253,
        4.644576423006666,
        4.644596448524079,
        4.644616474041492,
        4.644636499558906,
        4.644656525076319,
        4.644677027391766,
        4.644697052909179,
        4.644717078426592,
        4.6447371039440055,
        4.644757129461419,
        4.644777154978832,
        4.644797180496245,
        4.644817206013658,
        4.6448372315310715,
        4.644857257048485,
        4.644877282565898,
        4.644897308083311,
        4.644917810398758,
        4.6449378359161715,
        4.644957861433585,
        4.644977886950998,
        4.644997912468411,
        4.645017937985824,
        4.6450379635032375,
        4.645057989020651,
        4.645078014538064,
        4.645098040055477,
        4.64511806557289,
        4.6451380910903035,
        4.645158116607717,
        4.64517814212513,
        4.645198167642543,
        4.6452382186773695,
        4.645258244194783,
        4.645278269712196,
        4.645318320747022,
        4.6453383462644355,
        4.645358371781849,
        4.645378397299262,
        4.645398422816675,
        4.645418448334088,
        4.6454384738515015,
        4.645458499368915,
        4.645478524886328,
        4.645498550403741,
        4.645518575921154,
        4.645538601438568,
        4.645558626955981,
        4.645578652473394,
        4.645598677990807,
        4.645618226710186,
        4.6456382522276,
        4.645658277745013,
        4.645678303262426,
        4.645698328779839,
        4.645718354297252,
        4.645738379814666,
        4.645758405332079,
        4.645778430849492,
        4.645798456366905,
        4.6458184818843185,
        4.645838507401732,
        4.645858056121112,
        4.645878081638525,
        4.645898107155938,
        4.645918132673351,
        4.645938158190765,
        4.645958183708178,
        4.645978209225591,
        4.645998234743004,
        4.6460177834623835,
        4.646037808979797,
        4.64605783449721,
        4.646077860014623,
        4.646097885532036,
        4.6461179110494495,
        4.646137936566863,
        4.646157485286243,
        4.646177510803656,
        4.646197536321069,
        4.6462175618384824,
        4.646237587355896,
        4.646257612873309,
        4.646277161592688,
        4.646297187110101,
        4.6463172126275145,
        4.646337238144928,
        4.646357263662341,
        4.646377289179754,
        4.646396837899133,
        4.646416863416547,
        4.64643688893396,
        4.646456914451373,
        4.646476939968786,
        4.646496488688166,
        4.6465165142055795,
        4.646536539722993,
        4.646556565240406,
        4.646576113959785,
        4.646596139477198,
        4.646616164994612,
        4.646636190512025,
        4.646655739231405,
        4.646675764748818,
        4.646695790266231,
        4.646715815783645,
        4.646735364503024,
        4.646755390020437,
        4.64677541553785,
        4.646795441055263,
        4.646814989774643,
        4.646835015292056,
        4.646855040809469,
        4.646875066326882,
        4.6468946150462624,
        4.646914640563676,
        4.646934666081089,
        4.646954214800468,
        4.646974240317881,
        4.6469942658352945,
        4.647014291352708,
        4.647033840072087,
        4.6470538655895,
        4.647073891106913,
        4.6470934398262935,
        4.647113465343707,
        4.64713349086112,
        4.647153039580499,
        4.647173065097912,
        4.647193090615326,
        4.647212639334706,
        4.647232664852119,
        4.647252690369532,
        4.647272239088911,
        4.647292264606325,
        4.647312290123738,
        4.647331838843117,
        4.64735186436053,
        4.64737141307991,
        4.647391438597324,
        4.647411464114737,
        4.647431012834116,
        4.647451038351529,
        4.6474710638689425,
        4.647490612588322,
        4.647510638105735,
        4.647530186825115,
        4.647550212342528,
        4.6475702378599415,
        4.647589786579321,
        4.647609812096734,
        4.647629360816113,
        4.647649386333526,
        4.6476694118509405,
        4.64768896057032,
        4.647708986087733,
        4.647728534807112,
        4.647748560324525,
        4.647768109043906,
        4.647788134561319,
        4.647807683280698,
        4.647827708798111,
        4.6478477343155244,
        4.647867283034904,
        4.647887308552317,
        4.647906857271697,
        4.64792688278911,
        4.6479464315084895,
        4.647966457025903,
        4.647986005745282,
        4.648006031262695,
        4.648025579982075,
        4.6480456054994885,
        4.648065154218868,
        4.648085179736281,
        4.64810472845566,
        4.6481247539730735,
        4.648144302692454,
        4.648164328209867,
        4.648183876929246,
        4.648203902446659,
        4.648223451166039,
        4.648243476683453,
        4.648263025402832,
        4.648283050920245,
        4.648302599639624,
        4.6483226251570375,
        4.648342173876418,
        4.648362199393831,
        4.64838174811321,
        4.648401773630623,
        4.648421322350003,
        4.648440871069383,
        4.648460896586796,
        4.648480445306175,
        4.648500470823588,
        4.648520019542968,
        4.648540045060381,
        4.648559593779761,
        4.648579619297174,
        4.6485991680165535,
        4.648618716735933,
        4.648638742253346,
        4.648658290972726,
        4.648678316490139,
        4.6486978652095186,
        4.648717413928898,
        4.648737439446311,
        4.648756988165691,
        4.648777013683104,
        4.648796562402484,
        4.648816111121864,
        4.648836136639277,
        4.648855685358656,
        4.6488752340780355,
        4.648895259595449,
        4.648954382551621,
        4.648973931271001,
        4.649033054227173,
        4.649053079744586,
        4.649072628463966,
        4.649092177183346,
        4.649112202700759,
        4.649131751420138,
        4.6491513001395175,
        4.649171325656931,
        4.649190874376311,
        4.64921042309569,
        4.649230448613103,
        4.649249997332483,
        4.649269546051863,
        4.649289094771242,
        4.649309120288655,
        4.649328669008035,
        4.649348217727415,
        4.649368243244828,
        4.649387791964207,
        4.649407340683587,
        4.6494268894029664,
        4.64944691492038,
        4.649466463639759,
        4.649486012359139,
        4.649506037876552,
        4.6495255865959315,
        4.649545135315311,
        4.649564684034691,
        4.649584709552104,
        4.649604258271483,
        4.649623806990863,
        4.649643355710243,
        4.649663381227656,
        4.649682929947035,
        4.6497024786664145,
        4.649722027385795,
        4.649741576105174,
        4.649761601622587,
        4.649781150341966,
        4.6498006990613465,
        4.649820247780726,
        4.649839796500106,
        4.649859822017519,
        4.649879370736898,
        4.649898919456278,
        4.649918468175658,
        4.649938016895037,
        4.64995804241245,
        4.6499775911318295,
        4.64999713985121,
        4.650016688570589,
        4.650036237289968,
        4.650056262807381,
        4.6500758115267615,
        4.650095360246141,
        4.65011490896552,
        4.6501344576849,
        4.6501540064042794,
        4.650173555123659,
        4.650193580641072,
        4.650213129360452,
        4.650232678079831,
        4.650252226799211,
        4.650271775518591,
        4.65029132423797,
        4.650310872957349,
        4.650330421676729,
        4.650350447194143,
        4.650369995913522,
        4.650389544632902,
        4.650409093352281,
        4.6504286420716605,
        4.650448190791041,
        4.65046773951042,
        4.650487288229799,
        4.650506836949179,
        4.6505268624665925,
        4.650546411185972,
        4.650565959905351,
        4.650585508624731,
        4.6506050573441104,
        4.65062460606349,
        4.65064415478287,
        4.650663703502249,
        4.650683252221628,
        4.6507028009410085,
        4.650722349660388,
        4.650741898379767,
        4.650761447099147,
        4.650780995818526,
        4.650800544537906,
        4.650820093257286,
        4.650839641976665,
        4.650859190696044,
        4.6508787394154245,
        4.650898288134804,
        4.650917836854183,
        4.650937862371597,
        4.650957411090976,
        4.650976959810356,
        4.650996508529736,
        4.651016057249115,
        4.651035605968494,
        4.6510551546878744,
        4.651074703407254,
        4.651094252126633,
        4.651113324047979,
        4.651132872767358,
        4.651152421486739,
        4.651171970206118,
        4.651191518925497,
        4.651211067644877,
        4.6512306163642565,
        4.651250165083636,
        4.651269713803016,
        4.651289262522395,
        4.651308811241774,
        4.651328359961155,
        4.651347908680534,
        4.651367457399913,
        4.651387006119293,
        4.6514065548386725,
        4.651426103558052,
        4.651445652277432,
        4.651465200996811,
        4.651484749716191,
        4.651503821637537,
        4.651523370356917,
        4.651542919076296,
        4.651562467795675,
        4.651582016515055,
        4.651601565234435,
        4.651621113953814,
        4.651640662673194,
        4.651660211392573,
        4.651679760111953,
        4.651698832033299,
        4.651718380752678,
        4.651737929472058,
        4.6517574781914375,
        4.651777026910817,
        4.651796575630197,
        4.651816124349576,
        4.651835673068955,
        4.651854744990302,
        4.651874293709681,
        4.651893842429061,
        4.65191339114844,
        4.6519329398678195,
        4.6519524885872,
        4.651971560508545,
        4.651991109227925,
        4.652010657947304,
        4.6520302066666845,
        4.652049755386064,
        4.652069304105443,
        4.652088376026789,
        4.6521079247461685,
        4.652127473465549,
        4.652147022184928,
        4.652166570904307,
        4.652185642825653,
        4.652205191545033,
        4.652224740264413,
        4.652244288983792,
        4.652263837703171,
        4.6522829096245175,
        4.652302458343897,
        4.652322007063277,
        4.652341555782656,
        4.652360627704002,
        4.652380176423382,
        4.652399725142761,
        4.652419273862141,
        4.652438345783486,
        4.6524578945028665,
        4.652477443222246,
        4.652496991941625,
        4.652516063862971,
        4.6525356125823505,
        4.652555161301731,
        4.65257471002111,
        4.652593781942456,
        4.652613330661835,
        4.6526328793812155,
        4.652652428100595,
        4.652671500021941,
        4.65269104874132,
        4.6527105974606995,
        4.652729669382046,
        4.652749218101425,
        4.652768766820805,
        4.652788315540184,
        4.6528073874615306,
        4.65282693618091,
        4.652846484900289,
        4.652865556821635,
        4.6528851055410145,
        4.652904654260395,
        4.65292372618174,
        4.65294327490112,
        4.652962823620499,
        4.652981895541846,
        4.653001444261225,
        4.653020992980604,
        4.65304006490195,
        4.65305961362133,
        4.65307916234071,
        4.653098234262055,
        4.653117782981435,
        4.653136854902781,
        4.653156403622161,
        4.65317595234154,
        4.653195024262886,
        4.653214572982265,
        4.6532341217016455,
        4.653253193622991,
        4.653272742342371,
        4.653291814263716,
        4.6533113629830964,
        4.653330911702476,
        4.653349983623822,
        4.653369532343201,
        4.653388604264547,
        4.653408152983927,
        4.653427701703306,
        4.653446773624652,
        4.653466322344031,
        4.6534853942653776,
        4.653504942984757,
        4.653524014906103,
        4.653543563625482,
        4.653563112344862,
        4.653582184266208,
        4.653601732985588,
        4.653620804906933,
        4.653640353626313,
        4.653659425547659,
        4.653678974267039,
        4.653698046188385,
        4.653717594907764,
        4.6537366668291105,
        4.65375621554849,
        4.653775764267869,
        4.653794836189215,
        4.6538143849085944,
        4.653833456829941,
        4.65385300554932,
        4.653872077470666,
        4.653891626190045,
        4.653910698111392,
        4.653930246830771,
        4.653949318752117,
        4.653968867471496,
        4.6539879393928425,
        4.654007488112222,
        4.654026560033568,
        4.654046108752947,
        4.654065180674293,
        4.65408425259564,
        4.654103801315019,
        4.654122873236365,
        4.654142421955744,
        4.6541614938770905,
        4.65418104259647,
        4.654200114517816,
        4.654219663237195,
        4.6542387351585415,
        4.654258283877921,
        4.654277355799267,
        4.654296427720613,
        4.654315976439992,
        4.654335048361339,
        4.654354597080718,
        4.654373669002064,
        4.654393217721443,
        4.6544122896427895,
        4.654431361564135,
        4.654450910283515,
        4.65446998220486,
        4.6544895309242404,
        4.654508602845586,
        4.654527674766932,
        4.654547223486311,
        4.654566295407657,
        4.654585844127037,
        4.654604916048383,
        4.654623987969729,
        4.654643536689108,
        4.6546626086104546,
        4.6546816805318,
        4.65470122925118,
        4.654720301172525,
        4.6547398498919055,
        4.654758921813251,
        4.654777993734597,
        4.654797542453977,
        4.6548166143753225,
        4.654835686296669,
        4.654855235016048,
        4.654874306937394,
        4.65489337885874,
        4.65491292757812,
        4.654931999499466,
        4.654951071420811,
        4.654970620140191,
        4.654989692061537,
        4.655008763982883,
        4.655028312702262,
        4.655047384623608,
        4.655066456544954,
        4.6550855284663,
        4.65510507718568,
        4.655124149107025,
        4.655143221028371,
        4.655162769747751,
        4.655181841669097,
        4.655200913590443,
        4.655219985511788,
        4.6552395342311685,
        4.655258606152514,
        4.65527767807386,
        4.655297226793239,
        4.6553162987145855,
        4.655335370635932,
        4.655354442557278,
        4.655373991276657,
        4.655393063198003,
        4.655412135119349,
        4.655431207040695,
        4.655450755760074,
        4.65546982768142,
        4.655488899602767,
        4.655507971524112,
        4.655527043445458,
        4.655546592164837,
        4.6555656640861836,
        4.65558473600753,
        4.655603807928875,
        4.655622879850221,
        4.6556424285696005,
        4.655661500490947,
        4.655680572412293,
        4.655699644333638,
        4.6557187162549845,
        4.655738264974364,
        4.65575733689571,
        4.655776408817056,
        4.655795480738401,
        4.655814552659748,
        4.655834101379127,
        4.655853173300473,
        4.655872245221819,
        4.6558913171431655,
        4.655910389064511,
        4.655929460985857,
        4.655949009705236,
        4.6559680816265825,
        4.655987153547929,
        4.656006225469274,
        4.65602529739062,
        4.656044369311966,
        4.656063441233312,
        4.656082513154658,
        4.656102061874037,
        4.656121133795383,
        4.65614020571673,
        4.656159277638075,
        4.656178349559421,
        4.656197421480767,
        4.656216493402113,
        4.656235565323459,
        4.656255114042838,
        4.656274185964184,
        4.6562932578855305,
        4.656312329806876,
        4.656331401728222,
        4.656350473649568,
        4.6563695455709135,
        4.65638861749226,
        4.656407689413606,
        4.656426761334952,
        4.6564458332562975,
        4.656464905177644,
        4.65648397709899,
        4.656503525818369,
        4.656522597739715,
        4.656541669661061,
        4.656560741582407,
        4.656579813503753,
        4.656598885425098,
        4.656617957346445,
        4.656637029267791,
        4.656656101189136,
        4.656675173110482,
        4.6566942450318285,
        4.656713316953174,
        4.65673238887452,
        4.656751460795866,
        4.6567705327172115,
        4.656789604638558,
        4.656808676559904,
        4.656827748481249,
        4.6568468204025955,
        4.656865892323942,
        4.656884964245287,
        4.656904036166633,
        4.656923108087979,
        4.656942180009325,
        4.656961251930671,
        4.656980323852017,
        4.656999395773363,
        4.657018467694709,
        4.657037539616055,
        4.657056611537401,
        4.657075683458746,
        4.6570947553800925,
        4.657113827301439,
        4.657132899222784,
        4.65715197114413,
        4.6571705662674425,
        4.657189638188789,
        4.657208710110134,
        4.65722778203148,
        4.6572468539528264,
        4.657265925874172,
        4.657284997795518,
        4.657304069716864,
        4.6573231416382095,
        4.657342213559556,
        4.657361285480902,
        4.657380357402247,
        4.657399429323593,
        4.657418024446906,
        4.657437096368252,
        4.657456168289597,
        4.657475240210943,
        4.65749431213229,
        4.657513384053636,
        4.657532455974981,
        4.657551527896327,
        4.6575705998176735,
        4.657589194940986,
        4.657608266862331,
        4.657627338783677,
        4.6576464107050235,
        4.657665482626369,
        4.657684554547715,
        4.657703626469061,
        4.6577222215923735,
        4.657741293513719,
        4.657760365435065,
        4.657779437356411,
        4.6577985092777565,
        4.657817581199103,
        4.657836176322415,
        4.657855248243761,
        4.6578743201651065,
        4.657893392086453,
        4.657912464007799,
        4.657931535929144,
        4.6579501310524565,
        4.657969202973803,
        4.657988274895149,
        4.658007346816494,
        4.65802641873784,
        4.658045013861153,
        4.658064085782499,
        4.658083157703845,
        4.65810222962519,
        4.658120824748503,
        4.658139896669849,
        4.658158968591195,
        4.65817804051254,
        4.658197112433887,
        4.658215707557199,
        4.658234779478545,
        4.65825385139989,
        4.6582729233212365,
        4.658291518444549,
        4.658310590365895,
        4.65832966228724,
        4.6583487342085865,
        4.658367329331899,
        4.658386401253245,
        4.65840547317459,
        4.6584245450959365,
        4.658443140219249,
        4.658462212140595,
        4.65848128406194,
        4.6584998791852525,
        4.658518951106599,
        4.658538023027945,
        4.65855709494929,
        4.6585756900726025,
        4.658594761993949,
        4.658613833915295,
        4.658632429038607,
        4.658651500959953,
        4.658670572881299,
        4.658689168004611,
        4.658708239925957,
        4.658727311847303,
        4.658745906970616,
        4.658764978891961,
        4.658784050813307,
        4.658802645936619,
        4.658821717857966,
        4.658840789779311,
        4.658859384902623,
        4.658878456823969,
        4.658897528745316,
        4.658916123868628,
        4.658935195789973,
        4.658954267711319,
        4.658972862834632,
        4.658991934755978,
        4.659011006677323,
        4.659029601800635,
        4.659048673721982,
        4.659067268845294,
        4.65908634076664,
        4.659105412687985,
        4.659124007811298,
        4.659143079732644,
        4.659161674855956,
        4.659180746777302,
        4.6591998186986485,
        4.659218413821961,
        4.659237485743306,
        4.659256080866618,
        4.659275152787965,
        4.659294224709311,
        4.659312819832623,
        4.659331891753968,
        4.659350486877281,
        4.659369558798627,
        4.659388153921939,
        4.659407225843285,
        4.659426297764631,
        4.659444892887943,
        4.659463964809289,
        4.659482559932601,
        4.6595016318539475,
        4.65952022697726,
        4.659539298898605,
        4.659557894021917,
        4.6595769659432635,
        4.659595561066576,
        4.659614632987922,
        4.659633704909267,
        4.65965230003258,
        4.659671371953926,
        4.659689967077238,
        4.659709038998584,
        4.6597276341218965,
        4.659746706043243,
        4.659765301166555,
        4.6597843730879,
        4.6598029682112125,
        4.659822040132559,
        4.659840635255871,
        4.659859707177217,
        4.6598783023005295,
        4.659897374221875,
        4.659915969345187,
        4.659934564468499,
        4.6599536363898455,
        4.659972231513158,
        4.659991303434504,
        4.660009898557816,
        4.6600289704791615,
        4.660047565602474,
        4.66006663752382,
        4.660085232647132,
        4.6601043045684785,
        4.660122899691791,
        4.660141494815103,
        4.660160566736448,
        4.6601791618597606,
        4.660198233781107,
        4.660216828904419,
        4.660235900825765,
        4.6602544959490775,
        4.66027309107239,
        4.660292162993736,
        4.660310758117048,
        4.6603298300383935,
        4.660348425161706,
        4.660367020285018,
        4.660386092206364,
        4.6604046873296765,
        4.660423759251023,
        4.660442354374335,
        4.660460949497647,
        4.660517688463651,
        4.660611140878246,
        4.6606302127995916,
        4.660648807922904,
        4.660686474967562,
        4.6607050700908745,
        4.660723665214187,
        4.660742737135533,
        4.660761332258845,
        4.6607799273821575,
        4.660798999303504,
        4.660817594426816,
        4.660836189550128,
        4.6608552614714736,
        4.660873856594786,
        4.660892451718098,
        4.660911523639444,
        4.6609301187627565,
        4.660948713886069,
        4.660967785807415,
        4.660986380930727,
        4.6610049760540395,
        4.661023571177352,
        4.661042643098697,
        4.661061238222009,
        4.661079833345322,
        4.661098905266668,
        4.66111750038998,
        4.661136095513292,
        4.661154690636605,
        4.661173762557951,
        4.661192357681263,
        4.661210952804575,
        4.661229547927888,
        4.661248619849233,
        4.661267214972545,
        4.661285810095857,
        4.66130440521917,
        4.661323477140516,
        4.661342072263828,
        4.66136066738714,
        4.661379262510453,
        4.661398334431799,
        4.661416929555111,
        4.661435524678423,
        4.661454119801736,
        4.661472714925048,
        4.661491786846394,
        4.661510381969706,
        4.661528977093019,
        4.661547572216331,
        4.661566167339643,
        4.6615852392609884,
        4.661603834384301,
        4.661622429507613,
        4.661641024630925,
        4.6616596197542375,
        4.661678691675584,
        4.661697286798896,
        4.661715881922208,
        4.6617344770455205,
        4.661753072168833,
        4.661771667292145,
        4.661790739213491,
        4.6618093343368034,
        4.661827929460116,
        4.661846524583428,
        4.66186511970674,
        4.6618837148300525,
        4.661902309953365,
        4.661921381874711,
        4.661939976998023,
        4.6619585721213355,
        4.661977167244648,
        4.66199576236796,
        4.662014357491272,
        4.6620329526145845,
        4.662051547737897,
        4.662070619659242,
        4.662089214782554,
        4.662107809905867,
        4.662126405029179,
        4.662145000152491,
        4.662163595275803,
        4.662182190399116,
        4.662200785522428,
        4.66221938064574,
        4.662237975769052,
        4.662256570892365,
        4.662275642813711,
        4.662294237937023,
        4.662312833060335,
        4.662331428183648,
        4.66235002330696,
        4.662368618430272,
        4.662387213553584,
        4.662405808676897,
        4.662424403800209,
        4.662442998923521,
        4.6624615940468335,
        4.662480189170146,
        4.662498784293458,
        4.66251737941677,
        4.6625359745400825,
        4.662554569663395,
        4.662573164786707,
        4.662591759910019,
        4.6626103550333315,
        4.662628950156644,
        4.662647545279956,
        4.662666140403268,
        4.662684735526581,
        4.662703330649893,
        4.662721925773205,
        4.662740520896517,
        4.66275911601983,
        4.662777711143142,
        4.662796306266454,
        4.662814901389766,
        4.662833496513079,
        4.662852091636391,
        4.662870686759703,
        4.662889281883015,
        4.662907877006328,
        4.66292647212964,
        4.662945067252952,
        4.6629636623762645,
        4.662982257499578,
        4.66300085262289,
        4.663019447746202,
        4.663038042869514,
        4.663056637992827,
        4.663075233116139,
        4.663093828239451,
        4.663112423362763,
        4.663131018486076,
        4.663149613609388,
        4.6631682087327,
        4.6631863270579785,
        4.663204922181291,
        4.663223517304603,
        4.663242112427915,
        4.663260707551228,
        4.66327930267454,
        4.663297897797852,
        4.663316492921164,
        4.663335088044477,
        4.663353683167789,
        4.663372278291101,
        4.663390396616379,
        4.663408991739692,
        4.663427586863004,
        4.663446181986316,
        4.6634647771096285,
        4.663483372232941,
        4.663501967356253,
        4.663520562479566,
        4.6635386808048445,
        4.663557275928157,
        4.663575871051469,
        4.663594466174781,
        4.6636130612980935,
        4.663631656421406,
        4.663650251544718,
        4.663668369869996,
        4.663686964993309,
        4.663705560116621,
        4.663724155239933,
        4.663742750363245,
        4.663761345486558,
        4.663779463811837,
        4.663798058935149,
        4.663816654058461,
        4.663835249181774,
        4.663853844305086,
        4.663871962630364,
        4.6638905577536764,
        4.663909152876989,
        4.663927748000301,
        4.663946343123613,
        4.6639644614488915,
        4.663983056572204,
        4.664001651695516,
        4.664020246818828,
        4.664038841942141,
        4.66405696026742,
        4.664075555390732,
        4.664094150514044,
        4.664112745637357,
        4.664130863962635,
        4.664149459085947,
        4.664168054209259,
        4.664186649332572,
        4.664204767657851,
        4.664223362781163,
        4.664241957904475,
        4.664260553027788,
        4.664278671353066,
        4.664297266476378,
        4.6643158615996905,
        4.664334456723003,
        4.664352575048281,
        4.664371170171593,
        4.664389765294906,
        4.664408360418218,
        4.664426478743497,
        4.664445073866809,
        4.6644636689901215,
        4.6644817873154,
        4.664500382438712,
        4.664518977562024,
        4.664537095887303,
        4.664555691010615,
        4.664574286133927,
        4.6645928812572395,
        4.664610999582519,
        4.664629594705831,
        4.664648189829143,
        4.6646663081544215,
        4.664684903277734,
        4.664703498401046,
        4.664721616726325,
        4.6647402118496375,
        4.66475880697295,
        4.664776925298228,
        4.66479552042154,
        4.664814115544853,
        4.664832233870131,
        4.664850828993443,
        4.664869424116755,
        4.664887542442035,
        4.664906137565347,
        4.664924255890625,
        4.6649428510139375,
        4.66496144613725,
        4.664979564462528,
        4.66499815958584,
        4.665016754709153,
        4.665034873034432,
        4.665053468157744,
        4.665071586483022,
        4.665090181606335,
        4.665108776729647,
        4.665126895054925,
        4.665145490178237,
        4.665163608503517,
        4.665182203626829,
        4.665200798750141,
        4.6652189170754195,
        4.665237512198732,
        4.665255630524011,
        4.665274225647323,
        4.6652923439726015,
        4.665310939095914,
        4.665329534219226,
        4.665347652544504,
        4.665366247667817,
        4.665384365993096,
        4.665402961116408,
        4.665421079441686,
        4.665439674564999,
        4.665457792890277,
        4.665476388013589,
        4.665494506338868,
        4.665513101462181,
        4.665531696585493,
        4.665549814910771,
        4.6655684100340835,
        4.665586528359362,
        4.665605123482674,
        4.665623241807953,
        4.6656418369312656,
        4.665659955256544,
        4.665678550379856,
        4.665696668705134,
        4.665715263828448,
        4.665733382153726,
        4.665751977277038,
        4.6657700956023165,
        4.665788690725629,
        4.665806809050908,
        4.66582540417422,
        4.6658435224994985,
        4.665862117622811,
        4.665880235948089,
        4.665898354273368,
        4.665916949396681,
        4.665935067721959,
        4.665953662845271,
        4.6659717811705494,
        4.665990376293862,
        4.666008494619141,
        4.666027089742453,
        4.6660452080677315,
        4.666063803191044,
        4.666081921516322,
        4.666100039841601,
        4.6661186349649135,
        4.666136753290192,
        4.666155348413504,
        4.666173466738782,
        4.666192061862095,
        4.666210180187374,
        4.666228298512652,
        4.6662468936359645,
        4.666265011961244,
        4.666283607084556,
        4.666301725409834,
        4.6663198437351125,
        4.666338438858425,
        4.666356557183704,
        4.666375152307016,
        4.666393270632295,
        4.666411388957573,
        4.666429984080885,
        4.666448102406164,
        4.666466697529477,
        4.666484815854755,
        4.666502934180033,
        4.6665215293033455,
        4.666539647628625,
        4.666557765953903,
        4.666576361077215,
        4.666594479402494,
        4.666612597727773,
        4.666631192851085,
        4.666649311176363,
        4.666667429501642,
        4.666686024624954,
        4.666704142950233,
        4.6667222612755115,
        4.666740856398824,
        4.666758974724102,
        4.666777093049381,
        4.6667956881726935,
        4.666813806497972,
        4.666831924823251,
        4.666850519946563,
        4.666868638271842,
        4.66688675659712,
        4.666905351720432,
        4.666923470045711,
        4.66694158837099,
        4.666959706696268,
        4.66697830181958,
        4.6669964201448595,
        4.667014538470138,
        4.66703313359345,
        4.667051251918728,
        4.667069370244008,
        4.667087488569286,
        4.667106083692598,
        4.6671242020178765,
        4.667142320343156,
        4.667160438668434,
        4.667179033791746,
        4.667197152117025,
        4.667215270442304,
        4.667233388767582,
        4.667251983890894,
        4.667270102216173,
        4.667288220541452,
        4.66730633886673,
        4.6673249339900424,
        4.667343052315321,
        4.6673611706406,
        4.667379288965878,
        4.6673978840891905,
        4.66741600241447,
        4.667434120739748,
        4.667452239065026,
        4.667470357390306,
        4.667488952513618,
        4.667507070838896,
        4.6675251891641745,
        4.667543307489454,
        4.667561425814732,
        4.667580020938044,
        4.667598139263323,
        4.667616257588602,
        4.66763437591388,
        4.667652494239158,
        4.667671089362471,
        4.66768920768775,
        4.667707326013028,
        4.6677254443383065,
        4.667743562663586,
        4.667761680988864,
        4.667779799314142,
        4.667798394437455,
        4.667816512762734,
        4.667834631088012,
        4.66785274941329,
        4.66787086773857,
        4.667888986063848,
        4.667907104389127,
        4.667925699512439,
        4.667943817837718,
        4.667961936162996,
        4.667980054488275,
        4.667998172813554,
        4.668016291138832,
        4.668034409464111,
        4.668052527789389,
        4.668071122912702,
        4.66808924123798,
        4.668107359563259,
        4.6681254778885375,
        4.668143596213816,
        4.668161714539095,
        4.668179832864373,
        4.668197951189652,
        4.668216069514931,
        4.668234187840209,
        4.6682523061654875,
        4.6682709012888,
        4.668289019614079,
        4.668307137939357,
        4.668325256264636,
        4.668343374589915,
        4.668361492915193,
        4.668379611240471,
        4.668397729565751,
        4.668415847891029,
        4.668433966216307,
        4.6684520845415864,
        4.668470202866865,
        4.668488321192144,
        4.668506439517422,
        4.668524557842701,
        4.66854267616798,
        4.668560794493258,
        4.668578912818536,
        4.668597031143816,
        4.668615149469094,
        4.668633267794372,
        4.6686513861196515,
        4.66866950444493,
        4.668687622770208,
        4.668705741095487,
        4.668723859420766,
        4.668741977746044,
        4.668760096071323,
        4.6687782143966015,
        4.66879633272188,
        4.668814451047159,
        4.668832569372437,
        4.668850687697716,
        4.668868806022995,
        4.668886924348273,
        4.668905042673551,
        4.668923160998831,
        4.668941279324109,
        4.668959397649387,
        4.6689775159746665,
        4.668995634299945,
        4.669013752625224,
        4.669031870950502,
        4.669049989275781,
        4.66906810760106,
        4.669086225926338,
        4.6691043442516165,
        4.669122462576896,
        4.669140580902174,
        4.669158699227452,
        4.669176340754698,
        4.669194459079976,
        4.669212577405255,
        4.669230695730533,
        4.669248814055812,
        4.669266932381091,
        4.669285050706369,
        4.6693031690316475,
        4.669321287356927,
        4.669339405682205,
        4.669357524007483,
        4.669375165534729,
        4.669393283860007,
        4.669411402185286,
        4.6694295205105645,
        4.669447638835843,
        4.669465757161122,
        4.6694838754864,
        4.669501993811679,
        4.669519635338924,
        4.669537753664203,
        4.669555871989481,
        4.66957399031476,
        4.669592108640039,
        4.669610226965317,
        4.669628345290596,
        4.669645986817841,
        4.669664105143119,
        4.669682223468398,
        4.669700341793677,
        4.669718460118955,
        4.669736578444234,
        4.6697542199714785,
        4.669772338296758,
        4.669790456622036,
        4.669808574947314,
        4.669826693272594,
        4.669844811597872,
        4.669862453125117,
        4.6698805714503955,
        4.669898689775674,
        4.669916808100953,
        4.669934926426231,
        4.669952567953477,
        4.669970686278755,
        4.669988804604033,
        4.670006922929312,
        4.670025041254591,
        4.670042682781836,
        4.670060801107114,
        4.670078919432393,
        4.670097037757672,
        4.670114679284917,
        4.670132797610195,
        4.670150915935474,
        4.670169034260753,
        4.670186675787997,
        4.6702047941132765,
        4.670222912438555,
        4.670241030763833,
        4.670258672291078,
        4.670276790616357,
        4.670294908941636,
        4.670313027266914,
        4.6703306687941595,
        4.670348787119438,
        4.670366905444716,
        4.670385023769995,
        4.67040266529724,
        4.670420783622519,
        4.670438901947797,
        4.6704565434750425,
        4.670474661800321,
        4.670492780125599,
        4.670510898450878,
        4.670528539978123,
        4.670546658303402,
        4.67056477662868,
        4.6705824181559255,
        4.670600536481204,
        4.670618654806482,
        4.670636296333727,
        4.6706544146590065,
        4.670672532984285,
        4.67069017451153,
        4.670708292836808,
        4.670726411162087,
        4.670744052689332,
        4.67076217101461,
        4.6707802893398895,
        4.670797930867134,
        4.670816049192413,
        4.670834167517691,
        4.670851809044937,
        4.670869927370215,
        4.670888045695493,
        4.670905687222739,
        4.670923805548017,
        4.670941923873296,
        4.6709595654005405,
        4.67097768372582,
        4.670995802051098,
        4.671013443578343,
        4.671031561903622,
        4.671049203430867,
        4.671067321756145,
        4.6710854400814235,
        4.671103081608669,
        4.671121199933947,
        4.671138841461192,
        4.671156959786471,
        4.67117507811175,
        4.671192719638995,
        4.671210837964273,
        4.671228479491519,
        4.671246597816797,
        4.671264716142075,
        4.6712823576693205,
        4.671300475994599,
        4.671318117521844,
        4.671336235847122,
        4.671353877374368,
        4.671371995699646,
        4.671390114024925,
        4.67140775555217,
        4.671425873877449,
        4.671443515404693,
        4.671461633729972,
        4.671479275257217,
        4.671497393582496,
        4.67151503510974,
        4.6715331534350195,
        4.671550794962264,
        4.671568913287543,
        4.6715865548147875,
        4.671604673140067,
        4.671622791465345,
        4.67164043299259,
        4.671658551317869,
        4.671676192845114,
        4.671694311170392,
        4.671711952697637,
        4.671730071022916,
        4.671747712550161,
        4.671765830875439,
        4.6717834724026845,
        4.671801590727963,
        4.671819232255208,
        4.671837350580486,
        4.671854992107732,
        4.67187311043301,
        4.671890751960255,
        4.6719083934875005,
        4.671926511812779,
        4.671944153340024,
        4.671962271665302,
        4.671979913192548,
        4.671998031517826,
        4.672015673045071,
        4.67203379137035,
        4.672051432897595,
        4.672069551222873,
        4.672087192750118,
        4.672105311075397,
        4.672122952602642,
        4.672140594129886,
        4.672158712455166,
        4.67217635398241,
        4.672194472307689,
        4.6722121138349335,
        4.672230232160213,
        4.672247873687457,
        4.672265515214702,
        4.6722836335399816,
        4.672301275067226,
        4.672319393392505,
        4.6723370349197495,
        4.672354676446995,
        4.672372794772273,
        4.672390436299518,
        4.672408554624797,
        4.672426196152042,
        4.672443837679287,
        4.6724619560045655,
        4.672479597531811,
        4.672497715857089,
        4.672515357384334,
        4.672532998911579,
        4.672551117236858,
        4.672568758764102,
        4.6725864002913475,
        4.672604518616626,
        4.672622160143871,
        4.672639801671116,
        4.672657919996395,
        4.67267556152364,
        4.672693203050884,
        4.6727113213761635,
        4.672728962903408,
        4.672746604430653,
        4.6727647227559315,
        4.672782364283177,
        4.672800005810422,
        4.6728181241357,
        4.672835765662946,
        4.672853407190191,
        4.672871525515469,
        4.672889167042714,
        4.672906808569959,
        4.672924926895238,
        4.672942568422482,
        4.672960209949728,
        4.672978328275006,
        4.672995969802251,
        4.673013611329496,
        4.673031729654775,
        4.67304937118202,
        4.673067012709264,
        4.67308465423651,
        4.673102772561788,
        4.673120414089033,
        4.6731380556162785,
        4.673155697143523,
        4.673173815468802,
        4.673191456996046,
        4.673209098523292,
        4.67322721684857,
        4.673244858375815,
        4.6732624999030605,
        4.673280141430305,
        4.673298259755584,
        4.6733159012828285,
        4.673333542810074,
        4.673351184337319,
        4.673368825864564,
        4.673386944189843,
        4.673404585717088,
        4.673422227244332,
        4.6734398687715775,
        4.673457987096856,
        4.673475628624101,
        4.673493270151346,
        4.673510911678591,
        4.673528553205836,
        4.673546671531114,
        4.6735643130583595,
        4.673581954585605,
        4.673599596112849,
        4.673617714438128,
        4.673635355965373,
        4.673724040399631,
        4.67384800788838,
        4.6738656494156245,
        4.67388329094287,
        4.673954333849884,
        4.674042541486108,
        4.674060183013354,
        4.674078301338632,
        4.674095942865877,
        4.674113584393122,
        4.674148867447612,
        4.6741665089748565,
        4.674184150502102,
        4.674201792029347,
        4.674219433556591,
        4.674237551881871,
        4.674255193409115,
        4.67427283493636,
        4.6742904764636055,
        4.67430811799085,
        4.674325759518095,
        4.67434340104534,
        4.674361042572585,
        4.674396325627075,
        4.67441396715432,
        4.674431608681565,
        4.67444925020881,
        4.6744673685340885,
        4.674485010061334,
        4.674502651588579,
        4.674520293115823,
        4.674537934643069,
        4.674555576170314,
        4.674573217697558,
        4.6745908592248036,
        4.674608500752049,
        4.674626142279293,
        4.674643783806538,
        4.674661425333784,
        4.674679066861028,
        4.674696708388273,
        4.674714349915519,
        4.674731991442763,
        4.674749632970008,
        4.6747672744972535,
        4.674784916024498,
        4.674802557551743,
        4.674820199078988,
        4.674837840606233,
        4.674855482133478,
        4.674873123660723,
        4.674890765187968,
        4.674908406715213,
        4.674926048242458,
        4.6749436897697025,
        4.674961331296948,
        4.674978972824193,
        4.674996614351437,
        4.675014255878683,
        4.675031897405928,
        4.675049538933173,
        4.675067180460418,
        4.675084821987663,
        4.675102463514908,
        4.6751201050421525,
        4.675137746569398,
        4.675155388096643,
        4.675172552825854,
        4.675190194353099,
        4.675207835880344,
        4.675225477407589,
        4.675243118934834,
        4.675260760462079,
        4.675278401989324,
        4.6752960435165685,
        4.675313685043814,
        4.675331326571059,
        4.675348968098303,
        4.675366609625549,
        4.675384251152794,
        4.675401415882005,
        4.67541905740925,
        4.675436698936495,
        4.67545434046374,
        4.6754719819909845,
        4.67548962351823,
        4.675507265045475,
        4.675524906572719,
        4.675542548099965,
        4.67556018962721,
        4.675577354356421,
        4.6755949958836664,
        4.675612637410911,
        4.675630278938156,
        4.675647920465401,
        4.675665561992646,
        4.675683203519891,
        4.675700368249102,
        4.6757180097763476,
        4.675735651303592,
        4.675753292830837,
        4.675770934358082,
        4.675788575885327,
        4.675806217412572,
        4.675823382141783,
        4.675841023669029,
        4.675858665196273,
        4.675876306723518,
        4.6758939482507635,
        4.675911589778008,
        4.675928754507219,
        4.6759463960344645,
        4.67596403756171,
        4.675981679088954,
        4.675999320616199,
        4.676016485345411,
        4.676034126872656,
        4.6760517683999,
        4.676069409927146,
        4.676087051454391,
        4.676104216183602,
        4.676121857710847,
        4.676139499238092,
        4.676157140765337,
        4.676174782292582,
        4.676191947021794,
        4.676209588549038,
        4.676227230076283,
        4.6762448716035285,
        4.67626203633274,
        4.676279677859984,
        4.6762973193872295,
        4.676314960914475,
        4.676332125643686,
        4.678018798687715,
        4.679810367299147,
        4.6798313464126275,
        4.679852325526109,
        4.679872827841555,
        4.679893806955036,
        4.679914786068516,
        4.679935288383963,
        4.6799562674974435,
        4.679977246610925,
        4.679997748926371,
        4.680018728039852,
        4.680039707153332,
        4.680060209468779,
        4.6800811885822595,
        4.68010216769574,
        4.680122670011187,
        4.680143649124667,
        4.680164628238148,
        4.680185130553594,
        4.6802061096670755,
        4.680227088780556,
        4.680247591096003,
        4.680268570209483,
        4.680289549322963,
        4.68031005163841,
        4.680331030751891,
        4.680351533067338,
        4.680372512180818,
        4.680393491294299,
        4.680413993609745,
        4.680434972723226,
        4.680455475038673,
        4.680476454152154,
        4.680497433265634,
        4.680517935581081,
        4.680538914694561,
        4.680559417010008,
        4.680580396123489,
        4.68060137523697,
        4.680621877552416,
        4.680642856665897,
        4.680663358981343,
        4.680684338094824,
        4.680704840410271,
        4.680725819523752,
        4.680746798637232,
        4.680767300952679,
        4.680788280066159,
        4.680850263810534,
        4.680891745239461,
        4.680912724352941,
        4.681057670955171,
        4.681078650068651,
        4.681099152384098,
        4.681120131497578,
        4.681140633813025,
        4.6811616129265055,
        4.681182115241953,
        4.681203094355433,
        4.68122359667088,
        4.68124457578436,
        4.681265078099807,
        4.6812860572132875,
        4.681306559528735,
        4.681327061844182,
        4.681348040957662,
        4.681368543273109,
        4.681389522386589,
        4.6814100247020365,
        4.681431003815517,
        4.681451506130964,
        4.68147200844641,
        4.681492987559891,
        4.681513489875337,
        4.6815344689888185,
        4.681554971304265,
        4.681575950417746,
        4.681596452733193,
        4.681616955048639,
        4.68163793416212,
        4.681658436477567,
        4.681678938793014,
        4.681699917906494,
        4.681720420221941,
        4.681741399335421,
        4.6817619016508685,
        4.681782403966316,
        4.681803383079796,
        4.681823885395243,
        4.681844387710689,
        4.68186536682417,
        4.681885869139617,
        4.681906371455064,
        4.681927350568544,
        4.681947852883991,
        4.681968355199438,
        4.681989334312918,
        4.682009836628366,
        4.682030338943812,
        4.682051318057293,
        4.682071820372739,
        4.682092322688186,
        4.6821133018016665,
        4.682133804117114,
        4.682154306432561,
        4.682175285546041,
        4.682195787861488,
        4.682298776236756,
        4.682340257665683,
        4.6823607599811305,
        4.682381262296577,
        4.682402241410058,
        4.682422743725504,
        4.682443246040951,
        4.6824637483563984,
        4.682484727469879,
        4.682505229785326,
        4.682525732100772,
        4.682546234416219,
        4.682567213529699,
        4.6825877158451465,
        4.682608218160594,
        4.68262872047604,
        4.682649222791487,
        4.682670201904968,
        4.6826907042204144,
        4.682711206535862,
        4.682731708851309,
        4.682752687964789,
        4.682773190280236,
        4.682793692595682,
        4.6828141949111295,
        4.682834697226577,
        4.682855199542023,
        4.682876178655504,
        4.68289668097095,
        4.682917183286397,
        4.6829376856018445,
        4.682958187917291,
        4.682978690232738,
        4.682999669346218,
        4.683020171661665,
        4.683040673977112,
        4.683061176292559,
        4.683081678608006,
        4.683102180923453,
        4.683122683238899,
        4.68314366235238,
        4.683164164667827,
        4.683184666983274,
        4.683205169298721,
        4.683225671614168,
        4.683246173929614,
        4.683266676245061,
        4.683287178560509,
        4.683307680875955,
        4.683328659989436,
        4.683349162304882,
        4.683369664620329,
        4.6833901669357765,
        4.683410669251223,
        4.68343117156667,
        4.683451673882117,
        4.683472176197563,
        4.68349267851301,
        4.683513180828458,
        4.683533683143904,
        4.683554185459351,
        4.683574687774798,
        4.683595190090244,
        4.6836156924056915,
        4.683636671519172,
        4.683657173834619,
        4.683677676150066,
        4.683698178465512,
        4.683718680780959,
        4.683739183096407,
        4.683759685411853,
        4.6837801877273,
        4.683800690042747,
        4.683821192358194,
        4.6838416946736405,
        4.683862196989088,
        4.683882699304535,
        4.683903201619981,
        4.683923703935428,
        4.683944206250875,
        4.683964708566322,
        4.683985210881769,
        4.684005713197216,
        4.684026215512662,
        4.684046717828109,
        4.6840672201435565,
        4.684087722459003,
        4.684107747976416,
        4.684128250291863,
        4.68414875260731,
        4.6841692549227565,
        4.684189757238204,
        4.684210259553651,
        4.684230761869097,
        4.684251264184544,
        4.684271766499991,
        4.684292268815438,
        4.684312771130885,
        4.684333273446332,
        4.684353775761779,
        4.684374278077225,
        4.684394780392672,
        4.684414805910086,
        4.684435308225533,
        4.684455810540979,
        4.684476312856426,
        4.684496815171873,
        4.68451731748732,
        4.684537819802767,
        4.684558322118214,
        4.68457882443366,
        4.684598849951073,
        4.6846193522665205,
        4.684639854581968,
        4.684660356897414,
        4.684680859212861,
        4.684701361528308,
        4.684721863843754,
        4.684741889361168,
        4.684762391676615,
        4.684782893992062,
        4.684803396307508,
        4.684823898622955,
        4.6848444009384025,
        4.684864426455816,
        4.684884928771263,
        4.684905431086709,
        4.684925933402156,
        4.684946435717603,
        4.684966461235017,
        4.684986963550463,
        4.68500746586591,
        4.685027968181357,
        4.685048470496803,
        4.685068496014217,
        4.685088998329664,
        4.685109500645111,
        4.685130002960557,
        4.685150505276004,
        4.6851705307934175,
        4.685191033108865,
        4.685211535424311,
        4.685232037739758,
        4.685252063257171,
        4.685272565572618,
        4.685293067888065,
        4.685313570203512,
        4.685333595720925,
        4.685354098036372,
        4.685374600351818,
        4.6853951026672656,
        4.685415128184679,
        4.685435630500126,
        4.685456132815573,
        4.685476158332986,
        4.6854966606484325,
        4.68551716296388,
        4.685537665279327,
        4.68555769079674,
        4.685578193112186,
        4.685598695427633,
        4.685618720945047,
        4.685639223260494,
        4.68565972557594,
        4.685679751093353,
        4.6857002534088,
        4.6857207557242475,
        4.685740781241661,
        4.685761283557107,
        4.685781785872554,
        4.685801811389967,
        4.6858223137054145,
        4.685842816020861,
        4.685862841538274,
        4.685883343853721,
        4.685903846169168,
        4.685923871686581,
        4.685944374002028,
        4.685964876317475,
        4.685984901834888,
        4.686005404150335,
        4.686025906465782,
        4.6860459319831955,
        4.686066434298642,
        4.686086459816055,
        4.686106962131502,
        4.686127464446949,
        4.6861474899643625,
        4.686167992279809,
        4.686188017797222,
        4.686208520112669,
        4.686229022428116,
        4.686249047945529,
        4.686269550260976,
        4.686289575778389,
        4.686310078093836,
        4.686330103611249,
        4.686350605926696,
        4.686371108242143,
        4.686391133759556,
        4.686411636075003,
        4.686431661592416,
        4.686452163907863,
        4.6864721894252765,
        4.686492691740723,
        4.686512717258137,
        4.686533219573583,
        4.686553245090996,
        4.6865737474064435,
        4.686593772923857,
        4.686614275239304,
        4.68663477755475,
        4.686654803072163,
        4.6866753053876105,
        4.686695330905024,
        4.686715833220471,
        4.686735858737884,
        4.68675636105333,
        4.6867763865707435,
        4.686796888886191,
        4.686816914403604,
        4.686836939921017,
        4.686857442236464,
        4.686877467753877,
        4.686897970069324,
        4.686917995586737,
        4.686938497902184,
        4.686958523419597,
        4.686979025735044,
        4.6869990512524575,
        4.687019553567904,
        4.687039579085317,
        4.687060081400764,
        4.687080106918177,
        4.6871001324355905,
        4.687120634751038,
        4.687140660268451,
        4.687161162583898,
        4.687181188101311,
        4.6872016904167575,
        4.687221715934171,
        4.687241741451584,
        4.687262243767031,
        4.687282269284444,
        4.687302771599891,
        4.687322797117305,
        4.687342822634718,
        4.687363324950164,
        4.687383350467577,
        4.6874033759849905,
        4.687423878300438,
        4.687443903817851,
        4.687464406133298,
        4.687484431650711,
        4.687504457168124,
        4.687524959483571,
        4.687544985000984,
        4.687565010518397,
        4.687585512833844,
        4.687605538351257,
        4.687625563868671,
        4.687646066184118,
        4.687666091701531,
        4.687686117218944,
        4.687706619534391,
        4.6877266450518045,
        4.687746670569218,
        4.687767172884664,
        4.687787198402077,
        4.68780722391949,
        4.6878277262349375,
        4.687847751752351,
        4.687867777269764,
        4.687888279585211,
        4.687908305102624,
        4.687928330620037,
        4.687948356137451,
        4.687968858452897,
        4.68798888397031,
        4.688008909487723,
        4.6880294118031705,
        4.688049437320584,
        4.688069462837997,
        4.68808948835541,
        4.688109990670857,
        4.68813001618827,
        4.688150041705684,
        4.688170067223097,
        4.688190569538544,
        4.688210595055957,
        4.68823062057337,
        4.688250646090784,
        4.68827114840623,
        4.688291173923643,
        4.688311199441056,
        4.688331224958469,
        4.688351250475883,
        4.68837175279133,
        4.688391778308743,
        4.688411803826156,
        4.688431829343569,
        4.688451854860983,
        4.68847235717643,
        4.688492382693843,
        4.688512408211256,
        4.688532433728669,
        4.6885524592460825,
        4.688572961561529,
        4.688592987078942,
        4.688613012596355,
        4.688633038113768,
        4.688653063631182,
        4.688673089148595,
        4.688693591464042,
        4.688713616981455,
        4.688733642498868,
        4.688753668016282,
        4.688773693533695,
        4.688793719051108,
        4.688813744568521,
        4.688834246883968,
        4.6888542724013815,
        4.688874297918795,
        4.688894323436208,
        4.688914348953621,
        4.688934374471034,
        4.6889543999884475,
        4.688974425505861,
        4.688994451023274,
        4.689014953338721,
        4.689034978856134,
        4.6890550043735475,
        4.689075029890961,
        4.689095055408374,
        4.689115080925787,
        4.6891351064432,
        4.6891551319606135,
        4.689175157478027,
        4.68919518299544,
        4.689215208512853,
        4.689235234030266,
        4.6892552595476795,
        4.689275761863127,
        4.68929578738054,
        4.689315812897953,
        4.689335838415366,
        4.6893558639327795,
        4.689375889450193,
        4.689395914967606,
        4.689415940485019,
        4.689435966002432,
        4.6894559915198455,
        4.689476017037259,
        4.689496042554672,
        4.689516068072085,
        4.689536093589498,
        4.6895561191069115,
        4.689576144624325,
        4.689596170141738,
        4.689616195659151,
        4.689636221176564,
        4.6896562466939775,
        4.689676272211391,
        4.689696297728804,
        4.689716323246217,
        4.68973634876363,
        4.6897563742810435,
        4.689776399798457,
        4.68979642531587,
        4.689816450833283,
        4.689836476350696,
        4.6898565018681095,
        4.689876527385523,
        4.689896076104902,
        4.689916101622315,
        4.689936127139728,
        4.689956152657142,
        4.689976178174555,
        4.689996203691968,
        4.690016229209381,
        4.690036254726794,
        4.690056280244208,
        4.690076305761621,
        4.690096331279034,
        4.690116356796447,
        4.69013638231386,
        4.690155931033241,
        4.690175956550654,
        4.690195982068067,
        4.69021600758548,
        4.690236033102893,
        4.690256058620307,
        4.69027608413772,
        4.690296109655133,
        4.690316135172546,
        4.6903356838919255,
        4.690355709409339,
        4.690375734926752,
        4.690395760444165,
        4.690415785961578,
        4.6904358114789915,
        4.690455836996405,
        4.690475385715785,
        4.690495411233198,
        4.690515436750611,
        4.690535462268024,
        4.690555487785438,
        4.690575513302851,
        4.69059506202223,
        4.690615087539643,
        4.6906351130570565,
        4.69065513857447,
        4.690675164091883,
        4.690694712811262,
        4.690714738328675,
        4.690734763846089,
        4.690754789363502,
        4.690954090941567,
        4.690973639660947,
        4.69099366517836,
        4.691013690695773,
        4.6910337162131865,
        4.691053264932566,
        4.691073290449979,
        4.691093315967392,
        4.691113341484805,
        4.691132890204185,
        4.691152915721598,
        4.691172941239011,
        4.691192966756424,
        4.691212515475804,
        4.691232540993218,
        4.691252566510631,
        4.69127211523001,
        4.691292140747423,
        4.6913121662648365,
        4.69133219178225,
        4.691351740501629,
        4.691371766019042,
        4.691391791536455,
        4.6914113402558355,
        4.691431365773249,
        4.691451391290662,
        4.691470940010041,
        4.691490965527454,
        4.691510991044868,
        4.691530539764248,
        4.691550565281661,
        4.691570590799074,
        4.691590139518453,
        4.691610165035867,
        4.69163019055328,
        4.691649739272659,
        4.691669764790072,
        4.691689313509452,
        4.691709339026866,
        4.691729364544279,
        4.691748913263658,
        4.691768938781071,
        4.6917889642984845,
        4.691808513017864,
        4.691828538535277,
        4.691848087254657,
        4.69186811277207,
        4.6918881382894835,
        4.691907687008863,
        4.691927712526276,
        4.691947261245655,
        4.691967286763068,
        4.6919873122804825,
        4.692006860999862,
        4.692026886517275,
        4.692046435236654,
        4.692066460754067,
        4.692086009473448,
        4.692106034990861,
        4.692126060508274,
        4.692145609227653,
        4.692165634745066,
        4.692185183464446,
        4.692205208981859,
        4.692224757701239,
        4.692244783218652,
        4.6922643319380315,
        4.692284357455445,
        4.692303906174824,
        4.692323931692237,
        4.692343480411617,
        4.6923635059290305,
        4.692383531446444,
        4.692403080165823,
        4.692423105683236,
        4.692442654402615,
        4.692462679920029,
        4.692482228639409,
        4.692502254156822,
        4.692521802876201,
        4.6925418283936144,
        4.692561377112995,
        4.692580925832374,
        4.692600951349787,
        4.692620500069166,
        4.6926405255865795,
        4.69266007430596,
        4.692680099823373,
        4.692699648542752,
        4.692719674060165,
        4.692739222779545,
        4.692759248296958,
        4.692778797016338,
        4.692798822533751,
        4.69281837125313,
        4.69283791997251,
        4.692857945489923,
        4.692877494209303,
        4.692897519726716,
        4.6929170684460955,
        4.692937093963509,
        4.692956642682888,
        4.692976191402268,
        4.692996216919681,
        4.6930157656390605,
        4.693035791156474,
        4.693055339875853,
        4.693074888595233,
        4.693094914112646,
        4.693114462832026,
        4.693134488349439,
        4.693154037068819,
        4.693173585788198,
        4.693193611305611,
        4.693213160024991,
        4.693232708744371,
        4.693252734261784,
        4.693272282981163,
        4.6932923084985765,
        4.693311857217956,
        4.693331405937336,
        4.693351431454749,
        4.693370980174128,
        4.693390528893508,
        4.693410554410921,
        4.693430103130301,
        4.69344965184968,
        4.693469677367093,
        4.693489226086473,
        4.693508774805853,
        4.693528800323266,
        4.693548349042645,
        4.6935678977620245,
        4.693587446481405,
        4.693607471998818,
        4.693627020718197,
        4.693646569437577,
        4.6936665949549905,
        4.69368614367437,
        4.693705692393749,
        4.693725717911162,
        4.693745266630542,
        4.693764815349922,
        4.693784364069301,
        4.693804389586714,
        4.693823938306094,
        4.6938434870254735,
        4.693863035744853,
        4.693883061262266,
        4.693902609981646,
        4.693922158701025,
        4.693941707420405,
        4.693961732937818,
        4.693981281657198,
        4.694000830376577,
        4.6940203790959565,
        4.69404040461337,
        4.69405995333275,
        4.694079502052129,
        4.694099050771508,
        4.6941185994908885,
        4.694138625008302,
        4.694158173727681,
        4.694177722447061,
        4.69419727116644,
        4.69421681988582,
        4.694236845403233,
        4.694256394122613,
        4.694275942841992,
        4.6942954915613715,
        4.694315040280752,
        4.694335065798165,
        4.694354614517544,
        4.694374163236923,
        4.6943937119563035,
        4.694413260675683,
        4.694432809395062,
        4.694452834912475,
        4.694472383631855,
        4.694491932351235,
        4.694511481070614,
        4.694531029789994,
        4.694550578509373,
        4.6945701272287526,
        4.694590152746166,
        4.694609701465546,
        4.694629250184925,
        4.694648798904304,
        4.694668347623685,
        4.694687896343064,
        4.694707445062444,
        4.694726993781823,
        4.694747019299236,
        4.694766568018616,
        4.694786116737996,
        4.694805665457375,
        4.694825214176754,
        4.6948447628961345,
        4.694864311615514,
        4.694883860334893,
        4.694903409054273,
        4.694922957773652,
        4.694942506493032,
        4.694962532010445,
        4.694982080729825,
        4.695001629449204,
        4.6950211781685836,
        4.695040726887964,
        4.695060275607343,
        4.695079824326722,
        4.695099373046102,
        4.695118921765482,
        4.695138470484861,
        4.695158019204241,
        4.69517756792362,
        4.6951971166429995,
        4.69521666536238,
        4.695236214081759,
        4.695255762801139,
        4.695275311520518,
        4.695294860239898,
        4.695333957678657,
        4.695353506398036,
        4.695373055117416,
        4.695392603836796,
        4.695412152556175,
        4.695431701275555,
        4.695451249994934,
        4.695470798714314,
        4.695490347433694,
        4.695509896153073,
        4.695529444872452,
        4.695548993591832,
        4.695568542311212,
        4.695588091030591,
        4.695607639749971,
        4.69562718846935,
        4.69564673718873,
        4.69566628590811,
        4.695685834627489,
        4.695705383346868,
        4.695724932066248,
        4.695744480785628,
        4.695763552706974,
        4.695783101426353,
        4.695802650145733,
        4.6958221988651125,
        4.695841747584492,
        4.695861296303872,
        4.695880845023251,
        4.6959003937426305,
        4.695919942462011,
        4.69593949118139,
        4.695959039900769,
        4.695978111822115,
        4.695997660541495,
        4.696017209260875,
        4.696036757980254,
        4.696056306699633,
        4.696075855419013,
        4.696095404138393,
        4.696114952857772,
        4.696134501577152,
        4.696153573498497,
        4.6961731222178775,
        4.696192670937257,
        4.696212219656636,
        4.696231768376016,
        4.6962513170953954,
        4.696270865814775,
        4.696289937736121,
        4.6963094864555,
        4.69632903517488,
        4.69634858389426,
        4.69636813261364,
        4.696387681333019,
        4.696406753254365,
        4.696426301973744,
        4.696445850693124,
        4.696465399412504,
        4.696484948131883,
        4.696504020053229,
        4.696523568772609,
        4.696543117491988,
        4.696562666211368,
        4.696582214930747,
        4.696601286852093,
        4.696620835571473,
        4.696640384290852,
        4.696659933010232,
        4.696679004931577,
        4.696698553650958,
        4.696718102370337,
        4.696737651089716,
        4.696757199809096,
        4.6967762717304415,
        4.696795820449822,
        4.696815369169201,
        4.69683491788858,
        4.696853989809926,
        4.696873538529306,
        4.696893087248686,
        4.696912635968065,
        4.696931707889411,
        4.6969512566087905,
        4.696970805328171,
        4.696989877249516,
        4.697009425968896,
        4.697028974688275,
        4.697048523407655,
        4.697067595329001,
        4.69708714404838,
        4.69710669276776,
        4.697125764689106,
        4.697145313408486,
        4.697164862127865,
        4.697183934049211,
        4.6972034827685905,
        4.69722303148797,
        4.697242103409316,
        4.697261652128695,
        4.697281200848075,
        4.697300272769421,
        4.697319821488801,
        4.69733937020818,
        4.697358442129526,
        4.6973779908489055,
        4.697397539568285,
        4.697416611489631,
        4.69743616020901,
        4.69745570892839,
        4.697474780849737,
        4.697494329569116,
        4.697513878288495,
        4.697532950209841,
        4.6975524989292206,
        4.697571570850567,
        4.697591119569946,
        4.697610668289326,
        4.6976297402106715,
        4.697649288930052,
        4.697668837649431,
        4.697687909570777,
        4.697707458290156,
        4.6977265302115025,
        4.697746078930882,
        4.697765627650261,
        4.697784699571607,
        4.6978042482909865,
        4.697823320212333,
        4.697842868931712,
        4.697861940853058,
        4.6978814895724375,
        4.697901038291818,
        4.697920110213163,
        4.697939658932543,
        4.697958730853888,
        4.6979782795732685,
        4.697997351494615,
        4.698016900213994,
        4.69803597213534,
        4.6980555208547194,
        4.698074592776066,
        4.698094141495445,
        4.698113690214824,
        4.69813276213617,
        4.69815231085555,
        4.698171382776896,
        4.698190931496275,
        4.698210003417621,
        4.6982295521370006,
        4.698248624058347,
        4.698268172777726,
        4.698287244699072,
        4.6983067934184515,
        4.698325865339798,
        4.698345414059177,
        4.698364485980523,
        4.698384034699902,
        4.698403106621249,
        4.698422655340628,
        4.698441727261974,
        4.698461275981353,
        4.6984803479026995,
        4.698499419824046,
        4.698518968543425,
        4.698538040464771,
        4.6985575891841505,
        4.698576661105497,
        4.698596209824876,
        4.698615281746222,
        4.698634830465601,
        4.698653902386948,
        4.698672974308294,
        4.698692523027673,
        4.698711594949019,
        4.6987311436683985,
        4.698750215589745,
        4.698769764309124,
        4.69878883623047,
        4.6988079081518155,
        4.698827456871196,
        4.698846528792541,
        4.698866077511921,
        4.698885149433266,
        4.698904221354613,
        4.698923770073992,
        4.698942841995338,
        4.698962390714717,
        4.6989814626360635,
        4.69900053455741,
        4.699020083276789,
        4.699039155198135,
        4.6990582271194805,
        4.699077775838861,
        4.699096847760207,
        4.699116396479586,
        4.699135468400932,
        4.699154540322278,
        4.699174089041658,
        4.699193160963003,
        4.699212232884349,
        4.699231781603729,
        4.699250853525075,
        4.699269925446421,
        4.6992894741658,
        4.699308546087146,
        4.699327618008492,
        4.699347166727872,
        4.699385310570563,
        4.69940438249191,
        4.699423931211289,
        4.699443003132635,
        4.69946207505398,
        4.6994816237733605,
        4.699596532099469,
        4.699616080818849,
        4.699654224661541,
        4.699673296582887,
        4.699692845302266,
        4.699711917223612,
        4.699730989144959,
        4.699750061066304,
        4.699769609785684,
        4.699788681707029,
        4.6998077536283756,
        4.699826825549722,
        4.699846374269101,
        4.699865446190447,
        4.6998845181117925,
        4.699903590033139,
        4.699923138752518,
        4.699942210673864,
        4.69996128259521,
        4.699980354516556,
        4.699999426437902,
        4.700018975157281,
        4.700038047078627,
        4.700057118999974,
        4.700076190921319,
        4.700095262842665,
        4.700114811562044,
        4.700133883483391,
        4.700152955404737,
        4.700172027326082,
        4.7002487918095,
        4.700267863730846,
        4.7002869356521915,
        4.700306007573538,
        4.700325079494884,
        4.700344628214263,
        4.700363700135609,
        4.700382772056955,
        4.700401843978301,
        4.700420915899647,
        4.700439987820992,
        4.700459059742339,
        4.700478608461718,
        4.700497680383064,
        4.70051675230441,
        4.7005358242257556,
        4.700554896147102,
        4.700573968068448,
        4.700593039989793,
        4.7006121119111395,
        4.700631183832486,
        4.700650732551865,
        4.700669804473211,
        4.7006888763945565,
        4.700707948315903,
        4.700727020237249,
        4.700746092158595,
        4.70076516407994,
        4.700784236001287,
        4.700803307922633,
        4.700822379843978,
        4.700841451765324,
        4.7008605236866705,
        4.700879595608016,
        4.700898667529362,
        4.700918216248741,
        4.7009372881700875,
        4.700956360091434,
        4.700975432012779,
        4.700994503934125,
        4.701013575855471,
        4.701032647776817,
        4.701051719698163,
        4.701070791619509,
        4.7010898635408545,
        4.701108935462201,
        4.701128007383547,
        4.701147079304892,
        4.701166151226238,
        4.701185223147585,
        4.70120429506893,
        4.701223366990276,
        4.701242438911622,
        4.701261510832968,
        4.701280582754314,
        4.70129965467566,
        4.701318726597006,
        4.7013377985183515,
        4.701356870439698,
        4.701375942361044,
        4.701395014282389,
        4.7014140862037355,
        4.701433158125082,
        4.701452230046427,
        4.701471301967773,
        4.701490373889119,
        4.701509445810465,
        4.701528040933777,
        4.701547112855123,
        4.701566184776469,
        4.701585256697815,
        4.701604328619161,
        4.701623400540507,
        4.701642472461852,
        4.701661544383199,
        4.701680616304545,
        4.70169968822589,
        4.701718760147236,
        4.7017378320685825,
        4.701756903989928,
        4.70177549911324,
        4.701794571034586,
        4.7018136429559325,
        4.701832714877279,
        4.701851786798624,
        4.70187085871997,
        4.701889930641316,
        4.701909002562662,
        4.701928074484008,
        4.70194666960732,
        4.701965741528666,
        4.701984813450012,
        4.702003885371358,
        4.702022957292704,
        4.7020420292140495,
        4.702061101135396,
        4.702080173056742,
        4.702098768180054,
        4.702117840101399,
        4.702136912022746,
        4.702155983944092,
        4.702175055865437,
        4.702194127786783,
        4.702212722910096,
        4.702231794831442,
        4.702250866752787,
        4.702269938674133,
        4.7022890105954795,
        4.702308082516825,
        4.702326677640137,
        4.702345749561483,
        4.7023648214828295,
        4.702383893404176,
        4.702402965325521,
        4.702421560448833,
        4.7024406323701795,
        4.702459704291526,
        4.702478776212871,
        4.702497371336183,
        4.7025164432575295,
        4.702535515178876,
        4.702554587100221,
        4.702573659021567,
        4.7025922541448795,
        4.702611326066226,
        4.702630397987571,
        4.702649469908917,
        4.7026680650322294,
        4.702687136953576,
        4.702706208874921,
        4.702725280796267,
        4.702743875919579,
        4.702762947840926,
        4.702782019762271,
        4.702801091683617,
        4.702819686806929,
        4.702838758728276,
        4.702857830649621,
        4.702876425772933,
        4.702895497694279,
        4.702914569615626,
        4.702933641536972,
        4.702952236660284,
        4.702971308581629,
        4.702990380502976,
        4.703008975626288,
        4.703028047547634,
        4.703047119468979,
        4.703065714592292,
        4.703084786513638,
        4.703103858434984,
        4.703122930356329,
        4.703141525479642,
        4.703160597400988,
        4.703179669322334,
        4.703198264445646,
        4.703217336366992,
        4.703236408288338,
        4.70325500341165,
        4.703274075332996,
        4.7032926704563085,
        4.703311742377654,
        4.703330814299,
        4.703349409422312,
        4.7033684813436585,
        4.703387553265004,
        4.703406148388316,
        4.703425220309662,
        4.7034442922310085,
        4.703462887354321,
        4.703481959275667,
        4.703500554398979,
        4.7035196263203245,
        4.703538698241671,
        4.703557293364983,
        4.703576365286329,
        4.703594960409641,
        4.703614032330987,
        4.703633104252333,
        4.703651699375645,
        4.703670771296991,
        4.703689366420304,
        4.703708438341649,
        4.703727510262995,
        4.703746105386307,
        4.703765177307654,
        4.703783772430966,
        4.703802844352311,
        4.7038214394756235,
        4.70384051139697,
        4.703859106520282,
        4.703878178441628,
        4.7038972503629735,
        4.703915845486286,
        4.703934917407632,
        4.703953512530944,
        4.70397258445229,
        4.703991179575603,
        4.704010251496949,
        4.704028846620261,
        4.704047918541606,
        4.704066513664919,
        4.704085585586265,
        4.704104180709577,
        4.704123252630923,
        4.704141847754236,
        4.704160919675581,
        4.704179514798893,
        4.704198586720239,
        4.704217181843552,
        4.704236253764898,
        4.70425484888821,
        4.704273920809555,
        4.704292515932868,
        4.704311587854214,
        4.704330182977526,
        4.704349254898872,
        4.704367850022185,
        4.70438692194353,
        4.704405517066842,
        4.704424588988188,
        4.704443184111501,
        4.704461779234813,
        4.704480851156159,
        4.704499446279471,
        4.704518518200817,
        4.704537113324129,
        4.704556185245475,
        4.704574780368787,
        4.704593852290134,
        4.704612447413446,
        4.704631042536758,
        4.704650114458104,
        4.704668709581417,
        4.704687781502762,
        4.704706376626074,
        4.704724971749386,
        4.704744043670733,
        4.704762638794045,
        4.704781710715391,
        4.704800305838703,
        4.704818900962016,
        4.704837972883361,
        4.704856568006673,
        4.704875639928019,
        4.704894235051332,
        4.704912830174644,
        4.70493190209599,
        4.704950497219302,
        4.704969092342615,
        4.70498816426396,
        4.705006759387272,
        4.705025831308618,
        4.705044426431931,
        4.705063021555243,
        4.705082093476589,
        4.705100688599901,
        4.705119283723214,
        4.70513835564456,
        4.705156950767872,
        4.705175545891184,
        4.70519461781253,
        4.705213212935842,
        4.705231808059154,
        4.7052508799805,
        4.705269475103813,
        4.705288070227125,
        4.705307142148471,
        4.705325737271783,
        4.705344332395096,
        4.705362927518408,
        4.705381999439753,
        4.7054005945630655,
        4.705419189686378,
        4.705438261607724,
        4.705456856731036,
        4.7054754518543485,
        4.705494046977661,
        4.705513118899007,
        4.705531714022319,
        4.705550309145631,
        4.705569381066977,
        4.705587976190289,
        4.705606571313601,
        4.7056251664369135,
        4.70564423835826,
        4.705719095649543,
        4.7057748810194795,
        4.705793476142792,
        4.70583114318745,
        4.7058497383107625,
        4.705868333434075,
        4.70588740535542,
        4.705906000478732,
        4.705924595602045,
        4.705943190725357,
        4.705961785848669,
        4.705980857770015,
        4.7059994528933276,
        4.70601804801664,
        4.706036643139952,
        4.706055238263264,
        4.7060743101846105,
        4.706092905307923,
        4.706111500431235,
        4.706130095554547,
        4.70614869067786,
        4.706167285801172,
        4.706186357722517,
        4.70620495284583,
        4.7062235479691426,
        4.706242143092455,
        4.706260738215767,
        4.706279333339079,
        4.706297928462392,
        4.706317000383737,
        4.706335595507049,
        4.706354190630361,
        4.706372785753674,
        4.706391380876986,
        4.706409976000298,
        4.7064285711236105,
        4.706447166246923,
        4.706466238168269,
        4.706484833291581,
        4.706503428414893,
        4.706522023538206,
        4.706540618661518,
        4.70655921378483,
        4.7065778089081425,
        4.706596404031455,
        4.706614999154767,
        4.706633594278079,
        4.7066526661994255,
        4.706671261322738,
        4.70668985644605,
        4.706708451569362,
        4.7067270466926745,
        4.706745641815987,
        4.706764236939299,
        4.706782832062611,
        4.7068014271859235,
        4.706820022309236,
        4.706838617432548,
        4.70685721255586,
        4.706875807679173,
        4.706894402802485,
        4.706912997925797,
        4.706931593049109,
        4.706950188172422,
        4.706969260093768,
        4.70698785521708,
        4.707006450340392,
        4.707025045463705,
        4.707043640587017,
        4.707062235710329,
        4.707080830833641,
        4.707099425956954,
        4.707118021080266,
        4.707136616203578,
        4.70715521132689,
        4.707173806450203,
        4.707192401573515,
        4.707210996696827,
        4.7072295918201394,
        4.707248186943452,
        4.707266782066764,
        4.707285377190076,
        4.7073039723133885,
        4.707322567436701,
        4.707340685761979,
        4.707359280885291,
        4.707377876008604,
        4.707396471131916,
        4.707415066255228,
        4.70743366137854,
        4.707452256501853,
        4.707470851625165,
        4.707489446748477,
        4.707508041871789,
        4.707526636995102,
        4.707545232118414,
        4.707563827241726,
        4.707582422365038,
        4.707601017488351,
        4.707619612611663,
        4.707638207734975,
        4.707656326060254,
        4.707674921183567,
        4.707693516306879,
        4.707712111430191,
        4.7077307065535035,
        4.707749301676816,
        4.707767896800128,
        4.70778649192344,
        4.7078050870467525,
        4.707823682170065,
        4.707841800495343,
        4.707860395618655,
        4.707878990741968,
        4.70789758586528,
        4.707916180988592,
        4.707934776111904,
        4.707953371235217,
        4.707971966358529,
        4.707990084683808,
        4.70800867980712,
        4.708027274930433,
        4.708045870053745,
        4.708064465177057,
        4.708083060300369,
        4.708101655423682,
        4.70811977374896,
        4.708138368872272,
        4.7081569639955845,
        4.708175559118897,
        4.708194154242209,
        4.708212749365521,
        4.7082308676908,
        4.708249462814112,
        4.708379151879265,
        4.708434460451167,
        4.70845305557448,
        4.708471650697792,
        4.708490245821104,
        4.708508364146383,
        4.708526959269696,
        4.708545554393008,
        4.70856414951632,
        4.7085822678415985,
        4.708600862964911,
        4.708619458088223,
        4.708638053211535,
        4.708656171536814,
        4.708674766660126,
        4.708693361783438,
        4.70871195690675,
        4.70873007523203,
        4.708748670355342,
        4.708767265478654,
        4.708785860601966,
        4.708803978927245,
        4.708822574050557,
        4.708841169173869,
        4.7088592874991475,
        4.70887788262246,
        4.708896477745772,
        4.708915072869084,
        4.7089331911943635,
        4.708951786317676,
        4.708970381440988,
        4.708988499766266,
        4.709007094889579,
        4.709025690012891,
        4.70904380833817,
        4.709062403461482,
        4.709080998584795,
        4.709099116910073,
        4.709117712033385,
        4.709136307156697,
        4.709154425481976,
        4.709173020605288,
        4.7091916157286,
        4.709209734053879,
        4.709228329177192,
        4.709246924300504,
        4.709265042625782,
        4.7092836377490945,
        4.709302232872407,
        4.709320351197685,
        4.709338946320997,
        4.70935754144431,
        4.709375659769589,
        4.709394254892901,
        4.709412373218179,
        4.709430968341492,
        4.709449563464804,
        4.709467681790082,
        4.709486276913395,
        4.709504872036708,
        4.709522990361986,
        4.709541585485298,
        4.7095597038105765,
        4.709578298933889,
        4.709596894057201,
        4.70961501238248,
        4.7096336075057925,
        4.709651725831071,
        4.709670320954383,
        4.709688439279661,
        4.709707034402974,
        4.709725629526286,
        4.709743747851565,
        4.709762342974877,
        4.709780461300156,
        4.709799056423468,
        4.709817174748746,
        4.7098357698720585,
        4.709854364995371,
        4.70987248332065,
        4.709891078443962,
        4.709909196769241,
        4.709927791892553,
        4.709945910217831,
        4.709964505341143,
        4.709982623666423,
        4.710001218789735,
        4.710019337115013,
        4.7100379322383255,
        4.710056050563605,
        4.710074645686917,
        4.710092764012195,
        4.7101113591355075,
        4.710129477460786,
        4.710148072584098,
        4.710166190909377,
        4.7101847860326895,
        4.710202904357968,
        4.71022149948128,
        4.710239617806558,
        4.710258212929871,
        4.71027633125515,
        4.710294926378462,
        4.7103130447037405,
        4.710331639827053,
        4.710349758152331,
        4.710368353275643,
        4.7103864716009225,
        4.710405066724235,
        4.710423185049513,
        4.710441780172825,
        4.710459898498104,
        4.710478016823383,
        4.710496611946695,
        4.710514730271973,
        4.710533325395286,
        4.710551443720564,
        4.710570038843876,
        4.7105881571691555,
        4.710606752292468,
        4.710624870617746,
        4.710642988943025,
        4.7106615840663375,
        4.710679702391616,
        4.710698297514928,
        4.710716415840206,
        4.710734534165486,
        4.710753129288798,
        4.710771247614076,
        4.710789842737388,
        4.710807961062667,
        4.710826079387946,
        4.710844674511258,
        4.7108627928365365,
        4.710881387959849,
        4.710899506285127,
        4.710917624610406,
        4.710936219733719,
        4.710954338058997,
        4.710972456384275,
        4.7109910515075875,
        4.711009169832867,
        4.711027288158145,
        4.711045883281457,
        4.7110640016067356,
        4.711082596730048,
        4.711100715055327,
        4.711118833380605,
        4.711137428503918,
        4.711155546829197,
        4.711173665154475,
        4.711192260277787,
        4.711210378603066,
        4.711228496928345,
        4.711247092051657,
        4.7112652103769355,
        4.711283328702214,
        4.711301447027493,
        4.711320042150805,
        4.711338160476084,
        4.711356278801362,
        4.711374873924674,
        4.711392992249953,
        4.711411110575232,
        4.711429705698544,
        4.711447824023822,
        4.711465942349101,
        4.71148406067438,
        4.711502655797692,
        4.71152077412297,
        4.7115388924482495,
        4.711557487571562,
        4.71157560589684,
        4.711593724222118,
        4.711611842547398,
        4.71163043767071,
        4.711648555995988,
        4.711666674321267,
        4.711684792646546,
        4.711703387769858,
        4.711721506095136,
        4.7117396244204155,
        4.711757742745694,
        4.711776337869006,
        4.711794456194284,
        4.711812574519564,
        4.711830692844842,
        4.71184881117012,
        4.7118674062934325,
        4.711885524618712,
        4.71190364294399,
        4.711921761269268,
        4.711940356392581,
        4.71195847471786,
        4.711976593043138,
        4.711994711368416,
        4.712012829693696,
        4.712030948018974,
        4.712049543142286,
        4.7120676614675645,
        4.712085779792844,
        4.712103898118122,
        4.7121220164434,
        4.712140611566713,
        4.712158729891992,
        4.71217684821727,
        4.712194966542548,
        4.712213084867828,
        4.712231203193106,
        4.712249798316418,
        4.712267916641697,
        4.712286034966976,
        4.712304153292254,
        4.712322271617533,
        4.712340389942812,
        4.71235850826809,
        4.712377103391402,
        4.712395221716681,
        4.71241334004196,
        4.712431458367238,
        4.712449576692517,
        4.7124676950177955,
        4.712485813343074,
        4.712503931668353,
        4.712522526791665,
        4.712540645116944,
        4.712558763442222,
        4.712576881767501,
        4.712595000092779,
        4.712613118418058,
        4.712631236743337,
        4.712649355068615,
        4.712667473393894,
        4.712685591719173,
        4.712703710044451,
        4.712722305167763,
        4.712740423493042,
        4.712758541818321,
        4.712776660143599,
        4.712794778468878,
        4.712812896794157,
        4.712831015119435,
        4.712849133444714,
        4.7128672517699925,
        4.712885370095271,
        4.71290348842055,
        4.712921606745828,
        4.712939725071107,
        4.712957843396386,
        4.712975961721664,
        4.7129940800469425,
        4.713012198372222,
        4.7130303166975,
        4.713048435022778,
        4.713066553348058,
        4.713084671673336,
        4.713103266796648,
        4.7131213851219265,
        4.713139503447206,
        4.713157621772484,
        4.713175740097762,
        4.7131938584230415,
        4.71321197674832,
        4.713230095073598,
        4.713248213398877,
        4.713266331724156,
        4.713283973251401,
        4.713302091576679,
        4.713320209901958,
        4.713338328227237,
        4.713356446552515,
        4.713374564877794,
        4.713392683203073,
        4.713410801528351,
        4.71342891985363,
        4.713447038178908,
        4.713465156504187,
        4.713483274829466,
        4.713501393154744,
        4.713519511480023,
        4.713537629805302,
        4.71355574813058,
        4.713573866455858,
        4.713591984781138,
        4.713610103106416,
        4.713628221431694,
        4.7136463397569734,
        4.713664458082252,
        4.713682099609497,
        4.713700217934775,
        4.713718336260054,
        4.713754572910611,
        4.7137726912358895,
        4.713790809561169,
        4.713808927886447,
        4.713827046211725,
        4.7138451645370045,
        4.71386280606425,
        4.713880924389528,
        4.713899042714806,
        4.713917161040086,
        4.713935279365364,
        4.713953397690642,
        4.7139715160159215,
        4.7139896343412,
        4.714007275868445,
        4.714025394193723,
        4.714043512519002,
        4.714061630844281,
        4.714079749169559,
        4.7140978674948375,
        4.714115985820117,
        4.714133627347361,
        4.71415174567264,
        4.714169863997919,
        4.714187982323197,
        4.714206100648476,
        4.714224218973754,
        4.714242337299033,
        4.714259978826278,
        4.714278097151556,
        4.7142962154768355,
        4.714314333802114,
        4.714332452127392,
        4.714350093654637,
        4.714368211979916,
        4.714386330305195,
        4.714404448630473,
        4.7144225669557525,
        4.714440208482997,
        4.714458326808276,
        4.714476445133554,
        4.714494563458833,
        4.714512681784112,
        4.714530323311356,
        4.7145484416366354,
        4.714566559961914,
        4.714584678287192,
        4.714602319814437,
        4.714620438139716,
        4.714638556464995,
        4.714656674790273,
        4.7146747931155515,
        4.714692434642797,
        4.714710552968075,
        4.714728671293354,
        4.714746789618633,
        4.714764431145878,
        4.714782549471156,
        4.7148006677964345,
        4.71481830932368,
        4.714836427648958,
        4.714854545974237,
        4.714872664299516,
        4.714890305826761,
        4.714908424152039,
        4.7149265424773175,
        4.714944660802597,
        4.714962302329842,
        4.71498042065512,
        4.714998538980399,
        4.715016180507644,
        4.715034298832922,
        4.715052417158201,
        4.715070058685446,
        4.715088177010725,
        4.715106295336003,
        4.7151244136612815,
        4.715142055188527,
        4.715160173513805,
        4.715178291839084,
        4.715195933366329,
        4.715214051691608,
        4.715232170016886,
        4.7152498115441315,
        4.71526792986941,
        4.715286048194688,
        4.715303689721933,
        4.715321808047212,
        4.715339926372491,
        4.715357567899735,
        4.7153756862250145,
        4.715393327752259,
        4.715411446077538,
        4.715429564402816,
        4.715447205930062,
        4.71546532425534,
        4.715483442580618,
        4.7155010841078635,
        4.715519202433143,
        4.715536843960387,
        4.715554962285666,
        4.715573080610945,
        4.71559072213819,
        4.715608840463468,
        4.7156269587887465,
        4.715644600315992,
        4.71566271864127,
        4.715680360168515,
        4.715698478493794,
        4.715716596819073,
        4.715734238346317,
        4.715752356671596,
        4.715769998198841,
        4.71578811652412,
        4.715805758051364,
        4.715823876376644,
        4.715841994701922,
        4.715859636229167,
        4.7158777545544455,
        4.715895396081691,
        4.715913514406969,
        4.715931155934214,
        4.715949274259493,
        4.715966915786738,
        4.715985034112016,
        4.7160031524372945,
        4.71602079396454,
        4.716038912289818,
        4.716056553817063,
        4.7160746721423425,
        4.716092313669587,
        4.716110431994866,
        4.7161280735221105,
        4.71614619184739,
        4.716163833374634,
        4.716181951699913,
        4.716199593227158,
        4.716217711552437,
        4.716235353079681,
        4.71625347140496,
        4.716271112932205,
        4.716289231257484,
        4.716306872784728,
        4.716324991110008,
        4.716342632637252,
        4.716360750962531,
        4.7163783924897755,
        4.716396510815055,
        4.716414152342299,
        4.716432270667578,
        4.716449912194823,
        4.716468030520102,
        4.716485672047346,
        4.7165037903726255,
        4.71652143189987,
        4.716539073427115,
        4.716557191752393,
        4.716574833279639,
        4.716592951604918,
        4.716610593132162,
        4.7166287114574414,
        4.716646352984686,
        4.716664471309965,
        4.716682112837209,
        4.716699754364455,
        4.716717872689733,
        4.716735514216978,
        4.7167536325422565,
        4.716771274069502,
        4.71678939239478,
        4.716807033922025,
        4.716824675449271,
        4.716842793774549,
        4.716860435301794,
        4.7168785536270725,
        4.716896195154318,
        4.716913836681562,
        4.716931955006841,
        4.716949596534086,
        4.716967714859365,
        4.716985356386609,
        4.717002997913855,
        4.717021116239133,
        4.717038757766378,
        4.717056399293623,
        4.717074517618902,
        4.717092159146147,
        4.717110277471425,
        4.717145560525916,
        4.717163678851194,
        4.717181320378439,
        4.717412567424758,
        4.7174306857500365,
        4.717465968804527,
        4.717483610331771,
        4.717555130036819,
        4.717572771564064,
        4.717590413091309,
        4.717608531416587,
        4.717626172943833,
        4.717643814471077,
        4.717661455998322,
        4.717679574323601,
        4.717697215850846,
        4.717714857378091,
        4.717732498905336,
        4.717750617230615,
        4.71776825875786,
        4.717785900285104,
        4.71780354181235,
        4.717821660137628,
        4.717839301664873,
        4.7178569431921185,
        4.717874584719363,
        4.717892703044642,
        4.717910344571886,
        4.717945627626377,
        4.717963745951655,
        4.7179813874789005,
        4.717999029006145,
        4.718034312060635,
        4.718070071913159,
        4.718087713440403,
        4.718105354967649,
        4.718122996494894,
        4.718141114820172,
        4.718158756347417,
        4.718176397874662,
        4.718194039401907,
        4.718211680929152,
        4.718229799254431,
        4.718247440781676,
        4.718265082308921,
        4.7182827238361655,
        4.718300365363411,
        4.718318006890656,
        4.718336125215934,
        4.71835376674318,
        4.718371408270424,
        4.718389049797669,
        4.7184066913249145,
        4.718424332852159,
        4.718442451177438,
        4.7184600927046825,
        4.718477734231928,
        4.718495375759173,
        4.718513017286417,
        4.718530658813663,
        4.718548300340908,
        4.718566418666186,
        4.7185840601934315,
        4.718601701720676,
        4.718619343247921,
        4.718636984775166,
        4.718654626302411,
        4.718672267829656,
        4.718689909356901,
        4.72056205683602,
        4.722575336533098,
        4.7225963156465784,
        4.722617771558093,
        4.722638750671574,
        4.722659729785054,
        4.722680708898534,
        4.722701688012015,
        4.722722667125495,
        4.722743646238976,
        4.722764625352457,
        4.722785604465937,
        4.722807060377451,
        4.722828039490931,
        4.722849018604412,
        4.7228699977178925,
        4.722890976831373,
        4.722911955944854,
        4.722932935058334,
        4.722953914171814,
        4.722974893285295,
        4.7229958723987755,
        4.723016851512256,
        4.723037830625737,
        4.723058809739217,
        4.723079788852697,
        4.723100767966178,
        4.7231217470796585,
        4.723142726193139,
        4.72316370530662,
        4.7231846844201,
        4.723205663533581,
        4.723227119445095,
        4.723248098558575,
        4.723269077672056,
        4.723290056785537,
        4.723311035899017,
        4.723332015012497,
        4.723352994125978,
        4.723373973239458,
        4.7233944755549055,
        4.723415454668386,
        4.723436433781866,
        4.723457412895347,
        4.723478392008827,
        4.7234993711223074,
        4.7235203502357885,
        4.723541329349269,
        4.723562308462749,
        4.72358328757623,
        4.72360426668971,
        4.72362524580319,
        4.7236462249166715,
        4.723667204030152,
        4.723688183143632,
        4.723709162257113,
        4.723730141370593,
        4.723751120484074,
        4.7237720995975545,
        4.723792601913002,
        4.723813581026482,
        4.723834560139962,
        4.723855539253443,
        4.723876518366923,
        4.7238974974804036,
        4.723918476593885,
        4.723939455707365,
        4.723960434820845,
        4.723981413934326,
        4.724001916249772,
        4.7240228953632535,
        4.724043874476734,
        4.724064853590214,
        4.724085832703695,
        4.724106811817175,
        4.724127790930655,
        4.7241482932461025,
        4.724169272359583,
        4.724190251473064,
        4.724211230586544,
        4.724232209700024,
        4.724253188813505,
        4.7242736911289525,
        4.724294670242433,
        4.724315649355913,
        4.724336628469394,
        4.724357607582874,
        4.724378586696354,
        4.7243990890118015,
        4.724420068125282,
        4.724441047238763,
        4.724462026352243,
        4.724483005465723,
        4.72450350778117,
        4.7245244868946505,
        4.724545466008132,
        4.724566445121612,
        4.724586947437059,
        4.724607926550539,
        4.724628905664019,
        4.7246498847775005,
        4.724670863890981,
        4.724691366206428,
        4.724712345319908,
        4.724733324433388,
        4.724754303546869,
        4.724774805862316,
        4.724795784975797,
        4.724816764089277,
        4.724837266404724,
        4.724858245518204,
        4.724879224631685,
        4.7249002037451655,
        4.724920706060613,
        4.724941685174093,
        4.724962664287573,
        4.72498316660302,
        4.7250041457165,
        4.7250251248299815,
        4.725046103943462,
        4.725066606258909,
        4.725087585372389,
        4.725108564485869,
        4.725129066801316,
        4.725150045914797,
        4.725171025028278,
        4.725191527343724,
        4.725212506457205,
        4.725233485570685,
        4.725253987886132,
        4.725274966999613,
        4.725295946113093,
        4.72531644842854,
        4.72533742754202,
        4.725358406655501,
        4.725378908970948,
        4.725399888084429,
        4.725420390399876,
        4.725441369513356,
        4.725462348626836,
        4.725482850942283,
        4.7255038300557635,
        4.7255248091692446,
        4.725545311484691,
        4.725566290598172,
        4.725586792913618,
        4.725607772027099,
        4.7256287511405795,
        4.725649253456027,
        4.725670232569507,
        4.725690734884954,
        4.725711713998434,
        4.725732216313881,
        4.7257531954273615,
        4.725774174540842,
        4.725794676856289,
        4.725815655969769,
        4.725836158285216,
        4.725857137398696,
        4.7258776397141435,
        4.725898618827625,
        4.725919121143071,
        4.725940100256552,
        4.725960602571998,
        4.725981581685479,
        4.7260025607989595,
        4.726023063114407,
        4.726044042227887,
        4.726064544543334,
        4.726085523656814,
        4.726106025972261,
        4.726127005085742,
        4.726147507401189,
        4.726168486514669,
        4.726188988830116,
        4.726209967943596,
        4.726230470259043,
        4.72643787740368,
        4.7264793588326075,
        4.726499861148055,
        4.726520363463501,
        4.726541342576982,
        4.726561844892428,
        4.726582824005909,
        4.726603326321356,
        4.726624305434837,
        4.726644807750283,
        4.72666531006573,
        4.72668628917921,
        4.7267067914946574,
        4.726727770608138,
        4.726748272923585,
        4.726768775239032,
        4.726789754352512,
        4.726810256667959,
        4.7268312357814395,
        4.726851738096887,
        4.726872240412333,
        4.726893219525814,
        4.72691372184126,
        4.726955203270188,
        4.726996207901082,
        4.727017187014562,
        4.727058191645456,
        4.727079170758937,
        4.727099673074384,
        4.72712017538983,
        4.727141154503311,
        4.727161656818757,
        4.7271821591342045,
        4.727203138247685,
        4.727223640563132,
        4.727244142878579,
        4.727265121992059,
        4.727285624307506,
        4.727306126622953,
        4.727327105736434,
        4.72734760805188,
        4.727368110367327,
        4.727388612682774,
        4.727409591796254,
        4.727471575540629,
        4.7275330824869695,
        4.72755406160045,
        4.7280070197324156,
        4.728027522047862,
        4.728089505792236,
        4.7281100081076834,
        4.728130510423131,
        4.728151012738577,
        4.728171515054024,
        4.728192494167504,
        4.728212996482951,
        4.7282334987983985,
        4.728254001113845,
        4.728274503429292,
        4.728295005744739,
        4.728315508060185,
        4.728336487173666,
        4.728356989489113,
        4.72837749180456,
        4.728397994120007,
        4.728418496435453,
        4.7284389987509,
        4.7284595010663475,
        4.728480003381794,
        4.728500505697241,
        4.728521008012688,
        4.728541510328134,
        4.728562489441615,
        4.728582991757062,
        4.728603494072509,
        4.728623996387956,
        4.728644498703403,
        4.728665001018849,
        4.7286855033342965,
        4.728706005649744,
        4.72872650796519,
        4.728747010280637,
        4.728767512596084,
        4.7287880149115304,
        4.728808517226978,
        4.728829019542425,
        4.728849521857871,
        4.728870024173318,
        4.728890526488765,
        4.7289110288042115,
        4.728931531119659,
        4.728952033435106,
        4.728972535750552,
        4.728993038065999,
        4.729013540381446,
        4.729034042696893,
        4.72905454501234,
        4.72911605195868,
        4.7291365542741275,
        4.729157056589574,
        4.729177558905021,
        4.729198061220468,
        4.729218563535915,
        4.7292390658513614,
        4.729259568166809,
        4.729280070482256,
        4.729300572797702,
        4.729321075113149,
        4.729341577428596,
        4.7293620797440425,
        4.72938258205949,
        4.729403084374937,
        4.729423586690383,
        4.729443612207796,
        4.7294641145232434,
        4.729484616838691,
        4.729505119154137,
        4.729525621469584,
        4.729546123785031,
        4.729566626100477,
        4.7295871284159245,
        4.729607630731372,
        4.729628133046818,
        4.729648635362265,
        4.729668660879678,
        4.7296891631951254,
        4.729709665510572,
        4.729730167826019,
        4.729750670141466,
        4.729771172456913,
        4.729791674772359,
        4.729811700289773,
        4.72983220260522,
        4.729852704920667,
        4.729873207236113,
        4.72989370955156,
        4.7299142118670074,
        4.729934714182454,
        4.729954739699867,
        4.729975242015314,
        4.729995744330761,
        4.7300162466462075,
        4.730036748961655,
        4.730056774479068,
        4.730077276794515,
        4.730097779109961,
        4.730118281425408,
        4.7301387837408555,
        4.730159286056302,
        4.730179311573715,
        4.730199813889162,
        4.730220316204609,
        4.7302408185200555,
        4.730260844037469,
        4.730281346352916,
        4.730301848668363,
        4.73032235098381,
        4.730342853299256,
        4.73036287881667,
        4.730383381132117,
        4.730403883447564,
        4.73042438576301,
        4.730444411280423,
        4.7304649135958705,
        4.730485415911318,
        4.730505918226764,
        4.730525943744177,
        4.730546446059624,
        4.730566948375071,
        4.730586973892485,
        4.730607476207931,
        4.730627978523378,
        4.730648480838825,
        4.730668506356238,
        4.730689008671685,
        4.730709510987132,
        4.730729536504545,
        4.730750038819992,
        4.730770541135438,
        4.730790566652852,
        4.730811068968299,
        4.730831571283746,
        4.730852073599193,
        4.730872099116606,
        4.7308926014320525,
        4.7309131037475,
        4.730933129264913,
        4.73095363158036,
        4.730974133895806,
        4.730994159413219,
        4.731014661728667,
        4.73103468724608,
        4.731055189561527,
        4.731075691876973,
        4.731095717394386,
        4.7311162197098335,
        4.731136722025281,
        4.731156747542694,
        4.73117724985814,
        4.731197752173587,
        4.7312177776910005,
        4.731238280006448,
        4.731258305523861,
        4.731278807839307,
        4.731299310154754,
        4.7313193356721674,
        4.731339837987615,
        4.731359863505028,
        4.731380365820475,
        4.731400391337888,
        4.731420893653334,
        4.7314413959687815,
        4.731461421486195,
        4.731481923801642,
        4.731501949319055,
        4.731522451634501,
        4.731542477151915,
        4.731562979467362,
        4.731583481782809,
        4.731603507300222,
        4.731624009615668,
        4.7316440351330815,
        4.731664537448529,
        4.731684562965942,
        4.731705065281389,
        4.731725090798802,
        4.7317455931142485,
        4.731765618631662,
        4.731786120947109,
        4.731806146464522,
        4.731826648779969,
        4.731846674297382,
        4.731867176612829,
        4.731887202130242,
        4.731907704445689,
        4.731927729963102,
        4.731948232278549,
        4.7319682577959625,
        4.73198876011141,
        4.732008785628823,
        4.732029287944269,
        4.732049313461682,
        4.7320698157771295,
        4.732089841294543,
        4.73211034360999,
        4.732130369127403,
        4.732150871442849,
        4.7321708969602625,
        4.732190922477676,
        4.732211424793123,
        4.732231450310536,
        4.732251952625983,
        4.732271978143396,
        4.732292480458843,
        4.732312505976256,
        4.732332531493669,
        4.732353033809116,
        4.732373059326529,
        4.7323935616419766,
        4.73241358715939,
        4.732433612676803,
        4.732454114992249,
        4.732474140509663,
        4.73249464282511,
        4.732514668342523,
        4.732534693859936,
        4.732555196175383,
        4.732575221692796,
        4.7325957240082435,
        4.732615749525657,
        4.73263577504307,
        4.732656277358516,
        4.732676302875929,
        4.7326963283933425,
        4.73271683070879,
        4.732736856226203,
        4.732756881743616,
        4.732777384059063,
        4.732797409576476,
        4.73281743509389,
        4.732837937409336,
        4.732857962926749,
        4.732877988444162,
        4.7328984907596094,
        4.732918516277023,
        4.732938541794436,
        4.732959044109883,
        4.732979069627296,
        4.732999095144709,
        4.7330195974601565,
        4.73303962297757,
        4.733059648494983,
        4.733079674012396,
        4.733100176327842,
        4.733120201845256,
        4.733140227362669,
        4.733160729678116,
        4.733180755195529,
        4.733200780712942,
        4.733220806230356,
        4.733241308545803,
        4.733261334063216,
        4.733281359580629,
        4.733301385098042,
        4.733321887413489,
        4.733341912930902,
        4.733361938448315,
        4.733381963965728,
        4.733402466281175,
        4.7334224917985885,
        4.733442517316002,
        4.733462542833415,
        4.733483045148862,
        4.733503070666275,
        4.7335230961836885,
        4.733543121701102,
        4.733563147218515,
        4.733583649533962,
        4.733603675051375,
        4.7336237005687885,
        4.733643726086202,
        4.733663751603615,
        4.733684253919061,
        4.733704279436474,
        4.7337243049538875,
        4.733744330471301,
        4.733764355988714,
        4.733784381506127,
        4.733804883821574,
        4.7338249093389875,
        4.733844934856401,
        4.733864960373814,
        4.733884985891227,
        4.73390501140864,
        4.733925513724087,
        4.733945539241501,
        4.733965564758914,
        4.733985590276327,
        4.73400561579374,
        4.734025641311153,
        4.734045666828567,
        4.73406569234598,
        4.734086194661426,
        4.73410622017884,
        4.734126245696253,
        4.734146271213667,
        4.73416629673108,
        4.734186322248493,
        4.734206347765906,
        4.734226373283319,
        4.734246398800733,
        4.734266424318146,
        4.734286449835559,
        4.734306952151005,
        4.7343269776684185,
        4.734347003185832,
        4.734367028703245,
        4.734387054220658,
        4.734407079738071,
        4.7344271052554845,
        4.734447130772898,
        4.734467156290311,
        4.734487181807724,
        4.734507207325137,
        4.7345272328425505,
        4.734547258359964,
        4.734567283877377,
        4.73458730939479,
        4.734607334912203,
        4.7346273604296165,
        4.734647385947031,
        4.734667411464444,
        4.734687436981857,
        4.73470746249927,
        4.734727488016683,
        4.734747513534097,
        4.73476753905151,
        4.734787564568923,
        4.734807590086336,
        4.734827615603749,
        4.734847641121163,
        4.734867666638576,
        4.734887692155989,
        4.734907717673402,
        4.734927743190815,
        4.734947768708229,
        4.734967794225642,
        4.734987819743055,
        4.735007845260468,
        4.7350278707778815,
        4.735047896295295,
        4.735067921812708,
        4.735087947330121,
        4.735107972847534,
        4.7351279983649475,
        4.735148023882361,
        4.735168049399774,
        4.735188074917187,
        4.735207623636566,
        4.7352276491539795,
        4.735247674671393,
        4.735267700188806,
        4.735287725706219,
        4.735307751223632,
        4.735347802258459,
        4.735367827775872,
        4.735387853293285,
        4.735567129353937,
        4.73558715487135,
        4.735607180388763,
        4.735627205906177,
        4.73564723142359,
        4.735667256941003,
        4.735687282458416,
        4.7357068311777955,
        4.735726856695209,
        4.735746882212623,
        4.735766907730036,
        4.735786933247449,
        4.735806481966828,
        4.735826507484242,
        4.735846533001655,
        4.735866558519068,
        4.735886584036481,
        4.735906609553894,
        4.735926158273274,
        4.735946183790687,
        4.7359662093081,
        4.735986234825513,
        4.736005783544893,
        4.736025809062307,
        4.73604583457972,
        4.736065860097133,
        4.736085885614546,
        4.7361054343339255,
        4.736125459851339,
        4.736145485368752,
        4.736165510886165,
        4.736185059605544,
        4.736205085122958,
        4.736225110640371,
        4.736245136157784,
        4.736264684877164,
        4.736284710394577,
        4.7363047359119905,
        4.736324761429404,
        4.736344310148783,
        4.736364335666196,
        4.736384361183609,
        4.7364039099029895,
        4.736423935420403,
        4.736443960937816,
        4.736463986455229,
        4.736483535174608,
        4.736503560692022,
        4.736523586209435,
        4.736543134928814,
        4.736563160446227,
        4.7365831859636405,
        4.736602734683021,
        4.736622760200434,
        4.736642785717847,
        4.736662334437226,
        4.7366823599546395,
        4.736702385472053,
        4.736721934191432,
        4.736741959708845,
        4.736761985226258,
        4.7367815339456385,
        4.736801559463052,
        4.736821584980465,
        4.736841133699844,
        4.736861159217257,
        4.736881184734671,
        4.736900733454051,
        4.736920758971464,
        4.736940307690843,
        4.736960333208256,
        4.73698035872567,
        4.736999907445049,
        4.737019932962462,
        4.737039958479875,
        4.737059507199255,
        4.737079532716669,
        4.737099081436048,
        4.737119106953461,
        4.73713865567284,
        4.7371586811902535,
        4.737178706707667,
        4.737198255427047,
        4.73721828094446,
        4.737237829663839,
        4.7372578551812525,
        4.737277880698666,
        4.737297429418045,
        4.737317454935458,
        4.737337003654838,
        4.7373570291722515,
        4.737376577891631,
        4.737396603409044,
        4.737416152128424,
        4.737436177645837,
        4.737455726365217,
        4.73747575188263,
        4.737495300602009,
        4.737515326119422,
        4.7375353516368355,
        4.737554900356216,
        4.737574925873629,
        4.737594474593008,
        4.737614500110421,
        4.7376340488298005,
        4.737654074347214,
        4.737673623066594,
        4.737693648584007,
        4.737713197303386,
        4.7377332228208,
        4.737752771540179,
        4.737772797057592,
        4.737792345776972,
        4.737811894496351,
        4.737831920013765,
        4.737851468733144,
        4.737871494250557,
        4.737891042969937,
        4.73791106848735,
        4.73793061720673,
        4.737950642724143,
        4.737970191443523,
        4.737990216960936,
        4.7380097656803155,
        4.738029314399695,
        4.738049339917108,
        4.738068888636488,
        4.738088914153901,
        4.738108462873281,
        4.738128488390694,
        4.738148037110073,
        4.738167585829453,
        4.738187611346866,
        4.738207160066246,
        4.738227185583659,
        4.738246734303038,
        4.738266283022418,
        4.7382863085398315,
        4.738305857259211,
        4.738325882776624,
        4.738345431496003,
        4.738364980215383,
        4.7383850057327965,
        4.738404554452176,
        4.738424103171555,
        4.738444128688968,
        4.738463677408348,
        4.738483226127728,
        4.738503251645141,
        4.738522800364521,
        4.738542825881934,
        4.7385623746013135,
        4.738581923320693,
        4.738601948838106,
        4.738621497557486,
        4.738641046276865,
        4.7386610717942785,
        4.738680620513658,
        4.738700169233038,
        4.738720194750451,
        4.73873974346983,
        4.73875929218921,
        4.73877884090859,
        4.738798866426003,
        4.738818415145382,
        4.7388379638647615,
        4.738857989382175,
        4.738877538101555,
        4.738897086820934,
        4.738916635540313,
        4.738936661057727,
        4.738956209777107,
        4.738975758496486,
        4.738995784013899,
        4.7390153327332785,
        4.739034881452659,
        4.739054430172038,
        4.739074455689451,
        4.739094004408831,
        4.7391135531282105,
        4.73913310184759,
        4.739153127365003,
        4.739172676084383,
        4.739192224803762,
        4.739211773523142,
        4.739231799040555,
        4.739251347759935,
        4.739270896479314,
        4.7392904451986935,
        4.739309993918074,
        4.739330019435487,
        4.739349568154866,
        4.739369116874245,
        4.7393886655936255,
        4.739408214313005,
        4.739428239830418,
        4.739447788549797,
        4.739467337269177,
        4.739486885988557,
        4.739506434707936,
        4.739526460225349,
        4.739546008944729,
        4.7395655576641085,
        4.739585106383489,
        4.739604655102868,
        4.739624203822247,
        4.73964422933966,
        4.7396637780590405,
        4.73968332677842,
        4.739702875497799,
        4.739722424217179,
        4.739741972936558,
        4.739761521655938,
        4.739781547173351,
        4.739801095892731,
        4.73982064461211,
        4.7398401933314895,
        4.73985974205087,
        4.739879290770249,
        4.739898839489628,
        4.739918388209008,
        4.7399384137264216,
        4.739957962445801,
        4.73997751116518,
        4.73999705988456,
        4.7400166086039395,
        4.740036157323319,
        4.740055706042699,
        4.740075254762078,
        4.740094803481457,
        4.7401143522008375,
        4.740133900920217,
        4.74015392643763,
        4.74017347515701,
        4.740193023876389,
        4.740212572595769,
        4.740232121315149,
        4.740251670034528,
        4.740271218753907,
        4.7402907674732875,
        4.740310316192667,
        4.740329864912046,
        4.740349413631426,
        4.740368962350805,
        4.740388511070185,
        4.740408059789565,
        4.740427608508944,
        4.740447157228323,
        4.7404667059477035,
        4.740486254667083,
        4.740505803386462,
        4.740525352105842,
        4.740544900825221,
        4.740564449544601,
        4.740583998263981,
        4.74060354698336,
        4.740623095702739,
        4.7406426444221195,
        4.740662193141499,
        4.740681741860879,
        4.740701290580258,
        4.740720839299637,
        4.7407403880190175,
        4.740759936738397,
        4.740779485457776,
        4.740799034177156,
        4.7408185828965355,
        4.740838131615915,
        4.740857680335295,
        4.740877229054674,
        4.740896777774053,
        4.7409163264934335,
        4.740935875212813,
        4.740955423932192,
        4.740974495853538,
        4.7409940445729175,
        4.741013593292298,
        4.741033142011677,
        4.741052690731056,
        4.741072239450436,
        4.741091788169816,
        4.741111336889195,
        4.741130885608575,
        4.741150434327954,
        4.7411699830473335,
        4.74118905496868,
        4.741208603688059,
        4.741228152407439,
        4.741247701126818,
        4.7412672498461985,
        4.741286798565578,
        4.741306347284957,
        4.741325896004337,
        4.7413449679256825,
        4.741364516645063,
        4.741384065364442,
        4.741403614083821,
        4.741423162803201,
        4.741442711522581,
        4.74146226024196,
        4.741481332163306,
        4.741500880882685,
        4.741520429602065,
        4.741539978321445,
        4.741559527040824,
        4.741579075760204,
        4.741598147681549,
        4.74161769640093,
        4.741637245120309,
        4.741656793839688,
        4.741676342559068,
        4.7416958912784475,
        4.741714963199794,
        4.741734511919173,
        4.741754060638552,
        4.741773609357932,
        4.741793158077312,
        4.741812229998658,
        4.741831778718037,
        4.741851327437417,
        4.7418708761567965,
        4.741889948078143,
        4.741909496797522,
        4.741929045516901,
        4.741948594236281,
        4.741967666157627,
        4.741987214877007,
        4.742006763596386,
        4.742026312315765,
        4.7420458610351455,
        4.742064932956491,
        4.742084481675871,
        4.74210403039525,
        4.742123102316596,
        4.742142651035976,
        4.742162199755355,
        4.742181748474735,
        4.74220082039608,
        4.7422203691154605,
        4.74223991783484,
        4.742259466554219,
        4.742278538475565,
        4.7422980871949445,
        4.742317635914325,
        4.742336707835671,
        4.74235625655505,
        4.742375805274429,
        4.742394877195776,
        4.742414425915155,
        4.742433974634535,
        4.74245304655588,
        4.74247259527526,
        4.74249214399464,
        4.742511215915986,
        4.742530764635365,
        4.742550313354744,
        4.742569385276091,
        4.74258893399547,
        4.74260848271485,
        4.742627554636195,
        4.7426471033555755,
        4.742666652074955,
        4.742685723996301,
        4.74270527271568,
        4.7427248214350595,
        4.742743893356406,
        4.742763442075785,
        4.742782513997131,
        4.74280206271651,
        4.7428216114358905,
        4.742840683357236,
        4.742860232076616,
        4.742879780795995,
        4.7428988527173415,
        4.742918401436721,
        4.742937473358067,
        4.742957022077446,
        4.742976570796826,
        4.742995642718172,
        4.743015191437552,
        4.743034263358897,
        4.743053812078277,
        4.743072883999623,
        4.743092432719003,
        4.743111981438382,
        4.743131053359728,
        4.743150602079107,
        4.743169674000454,
        4.743189222719833,
        4.743208294641179,
        4.743227843360558,
        4.743246915281905,
        4.743266464001284,
        4.74328553592263,
        4.743305084642009,
        4.7433246333613885,
        4.743343705282735,
        4.743363254002114,
        4.74338232592346,
        4.74340187464284,
        4.743420946564186,
        4.743440495283566,
        4.743459567204911,
        4.743479115924291,
        4.743498187845637,
        4.743517736565017,
        4.743536808486362,
        4.743556357205742,
        4.7435754291270875,
        4.743594977846468,
        4.743614049767813,
        4.743633598487193,
        4.743652670408538,
        4.743672219127919,
        4.743691291049264,
        4.74371036297061,
        4.743729911689989,
        4.743748983611336,
        4.743768532330715,
        4.743787604252061,
        4.74380715297144,
        4.7438262248927865,
        4.743845773612166,
        4.743864845533512,
        4.743883917454858,
        4.743903466174237,
        4.743922538095584,
        4.743942086814963,
        4.743961158736309,
        4.743980707455688,
        4.7439997793770345,
        4.744018851298381,
        4.74403840001776,
        4.744057471939106,
        4.7440770206584855,
        4.744096092579832,
        4.744115164501177,
        4.744134713220557,
        4.7441537851419024,
        4.744173333861283,
        4.744192405782628,
        4.744211477703974,
        4.744231026423353,
        4.7442500983447,
        4.744269647064079,
        4.744288718985425,
        4.744307790906771,
        4.7443273396261505,
        4.744346411547497,
        4.744365483468842,
        4.744385032188222,
        4.7444041041095675,
        4.744423176030914,
        4.744442724750293,
        4.744461796671639,
        4.744480868592985,
        4.744500417312365,
        4.744519489233711,
        4.744538561155057,
        4.744558109874436,
        4.7445771817957825,
        4.744596253717128,
        4.744827023965414,
        4.74484609588676,
        4.744865167808105,
        4.744884716527485,
        4.7449037884488305,
        4.744941932291523,
        4.744961481010902,
        4.744980552932248,
        4.744999624853594,
        4.74501869677494,
        4.745038245494319,
        4.745057317415665,
        4.745076389337012,
        4.745095461258358,
        4.745115009977737,
        4.745134081899083,
        4.745153153820429,
        4.745172225741775,
        4.745191297663121,
        4.7452108463825,
        4.745229918303846,
        4.745248990225192,
        4.745268062146538,
        4.745287134067884,
        4.745363898551301,
        4.745382970472647,
        4.745402519192027,
        4.745421591113373,
        4.745440663034718,
        4.745459734956064,
        4.7454788068774105,
        4.745497878798756,
        4.745517427518136,
        4.745536499439481,
        4.7455555713608275,
        4.745574643282174,
        4.74559371520352,
        4.745612787124865,
        4.745631859046211,
        4.745651407765591,
        4.745670479686937,
        4.745689551608283,
        4.745708623529628,
        4.745727695450975,
        4.745746767372321,
        4.745765839293666,
        4.745784911215012,
        4.745804459934392,
        4.745823531855738,
        4.745842603777084,
        4.745861675698429,
        4.7458807476197755,
        4.745899819541122,
        4.745918891462467,
        4.745937963383813,
        4.745957035305159,
        4.745976107226505,
        4.745995179147851,
        4.74601472786723,
        4.746033799788576,
        4.746052871709923,
        4.746071943631268,
        4.746091015552614,
        4.74611008747396,
        4.746129159395306,
        4.746148231316652,
        4.746167303237998,
        4.746186375159344,
        4.74620544708069,
        4.746224519002036,
        4.746243590923382,
        4.746262662844727,
        4.7462817347660735,
        4.74630080668742,
        4.746319878608765,
        4.746338950530111,
        4.746358022451457,
        4.746377094372803,
        4.746396166294149,
        4.746415238215495,
        4.7464343101368405,
        4.746453382058187,
        4.746472453979533,
        4.746491525900878,
        4.746510597822224,
        4.746529669743571,
        4.746548741664916,
        4.746567813586262,
        4.746586885507608,
        4.746605957428954,
        4.7466250293503,
        4.746644101271646,
        4.746663173192991,
        4.746682245114338,
        4.746701317035684,
        4.74672038895703,
        4.746739460878375,
        4.7467585327997215,
        4.746777604721068,
        4.746796676642413,
        4.746815748563759,
        4.746834820485105,
        4.746853892406451,
        4.746872964327797,
        4.746892036249143,
        4.746910631372455,
        4.746929703293801,
        4.746948775215147,
        4.746967847136493,
        4.746986919057838,
        4.747005990979185,
        4.747025062900531,
        4.747044134821876,
        4.747063206743222,
        4.7470822786645686,
        4.747100873787881,
        4.747119945709226,
        4.747139017630572,
        4.7471580895519185,
        4.747177161473264,
        4.74719623339461,
        4.747215305315956,
        4.747253449158648,
        4.74727204428196,
        4.747291116203306,
        4.747310188124652,
        4.747329260045998,
        4.747348331967344,
        4.74736740388869,
        4.747385999012002,
        4.747405070933348,
        4.747424142854694,
        4.74744321477604,
        4.7474622866973855,
        4.747481358618732,
        4.747499953742044,
        4.74751902566339,
        4.747538097584735,
        4.747557169506082,
        4.747576241427428,
        4.747595313348773,
        4.747613908472085,
        4.747632980393432,
        4.747652052314778,
        4.747671124236123,
        4.747690196157469,
        4.747708791280782,
        4.747727863202128,
        4.747746935123473,
        4.747766007044819,
        4.747784602168132,
        4.747803674089478,
        4.747822746010824,
        4.747841817932169,
        4.7478608898535155,
        4.747879484976828,
        4.747898556898174,
        4.747917628819519,
        4.7479367007408655,
        4.747955295864178,
        4.747974367785524,
        4.747993439706869,
        4.7480125116282155,
        4.748031106751528,
        4.748050178672874,
        4.748069250594219,
        4.7480878457175315,
        4.748106917638878,
        4.748125989560224,
        4.748145061481569,
        4.7481636566048815,
        4.748182728526228,
        4.748201800447574,
        4.748220395570886,
        4.7482394674922315,
        4.748258539413578,
        4.748277611334924,
        4.748296206458236,
        4.7483152783795814,
        4.748334350300928,
        4.74835294542424,
        4.748372017345586,
        4.748391089266932,
        4.748409684390245,
        4.74842875631159,
        4.748447828232936,
        4.748466423356248,
        4.748485495277595,
        4.74850456719894,
        4.748523162322252,
        4.748542234243598,
        4.7485613061649445,
        4.748579901288257,
        4.748598973209602,
        4.748617568332914,
        4.748636640254261,
        4.748655712175607,
        4.748674307298919,
        4.748693379220264,
        4.748712451141611,
        4.748731046264923,
        4.748750118186269,
        4.748768713309581,
        4.748787785230927,
        4.748806857152273,
        4.748825452275585,
        4.748844524196931,
        4.7488631193202435,
        4.74888219124159,
        4.748901263162935,
        4.748919858286247,
        4.7489389302075935,
        4.748957525330906,
        4.748976597252252,
        4.748995669173597,
        4.7490142642969095,
        4.749033336218256,
        4.749051931341568,
        4.749071003262914,
        4.7490895983862265,
        4.749108670307572,
        4.749127265430884,
        4.74914633735223,
        4.749165409273576,
        4.749184004396889,
        4.749203076318234,
        4.749221671441546,
        4.7492407433628925,
        4.749259338486205,
        4.749278410407551,
        4.749297005530863,
        4.7493160774522085,
        4.749334672575521,
        4.749353744496867,
        4.749372339620179,
        4.749391411541525,
        4.749410006664838,
        4.749429078586184,
        4.749447673709496,
        4.7494667456308415,
        4.749485340754154,
        4.7495044126755,
        4.749523007798812,
        4.749542079720158,
        4.749560674843471,
        4.749579746764816,
        4.749598341888128,
        4.749617413809474,
        4.749636008932787,
        4.749655080854133,
        4.749673675977445,
        4.7496927478987905,
        4.749711343022103,
        4.749729938145415,
        4.749749010066761,
        4.7497676051900735,
        4.74978667711142,
        4.749805272234732,
        4.749824344156077,
        4.7498429392793895,
        4.749862011200736,
        4.749880606324048,
        4.74989920144736,
        4.749918273368706,
        4.749936868492019,
        4.749955940413364,
        4.749974535536677,
        4.749993130659989,
        4.750012202581335,
        4.750030797704647,
        4.750049869625993,
        4.750068464749305,
        4.750087059872618,
        4.750106131793964,
        4.750124726917276,
        4.7501437988386215,
        4.750162393961934,
        4.750180989085246,
        4.750200061006592,
        4.7502186561299045,
        4.750237251253217,
        4.750256323174563,
        4.750274918297875,
        4.7502939902192205,
        4.750312585342533,
        4.750331180465845,
        4.750350252387191,
        4.7503688475105035,
        4.750387442633816,
        4.750406514555162,
        4.750425109678474,
        4.7504437048017865,
        4.750462776723132,
        4.750481371846444,
        4.750499966969756,
        4.7505190388911025,
        4.750537634014415,
        4.750556229137727,
        4.750574824261039,
        4.7505938961823855,
        4.750612491305698,
        4.75063108642901,
        4.750650158350356,
        4.7506687534736685,
        4.750687348596981,
        4.750706420518326,
        4.750725015641638,
        4.7507436107649506,
        4.750762205888263,
        4.750781277809609,
        4.750799872932921,
        4.7508184680562335,
        4.750837063179546,
        4.750856135100892,
        4.750874730224204,
        4.7508933253475165,
        4.750912397268862,
        4.750930992392174,
        4.750949587515486,
        4.750968182638799,
        4.750986777762111,
        4.751005849683457,
        4.751024444806769,
        4.751043039930082,
        4.751061635053394,
        4.75108070697474,
        4.751099302098052,
        4.751117897221365,
        4.751136492344677,
        4.751155564266023,
        4.751174159389335,
        4.7511927545126476,
        4.75121134963596,
        4.751229944759272,
        4.751249016680617,
        4.75126761180393,
        4.751286206927242,
        4.751304802050554,
        4.751323397173866,
        4.751341992297179,
        4.751361064218525,
        4.751379659341837,
        4.751398254465149,
        4.751416849588462,
        4.751435444711774,
        4.75145451663312,
        4.751473111756432,
        4.751491706879745,
        4.751510302003057,
        4.751528897126369,
        4.751547492249681,
        4.751566087372994,
        4.751585159294339,
        4.751603754417651,
        4.751622349540964,
        4.751640944664277,
        4.751659539787589,
        4.751678134910901,
        4.7516967300342134,
        4.751715325157526,
        4.751734397078871,
        4.751752992202183,
        4.7517715873254955,
        4.751790182448808,
        4.75180877757212,
        4.751827372695432,
        4.751845967818745,
        4.751864562942057,
        4.751883158065369,
        4.751901753188681,
        4.751920825110028,
        4.75193942023334,
        4.751958015356652,
        4.751976610479964,
        4.751995205603277,
        4.752013800726589,
        4.752032395849901,
        4.752050990973213,
        4.752069586096526,
        4.752088181219838,
        4.75210677634315,
        4.752125371466462,
        4.752143966589775,
        4.752162561713087,
        4.752181156836399,
        4.7521997519597114,
        4.752218823881058,
        4.75223741900437,
        4.752256014127682,
        4.752274609250994,
        4.752293204374307,
        4.752311799497619,
        4.752330394620931,
        4.7523489897442435,
        4.752367584867556,
        4.752386179990868,
        4.75240477511418,
        4.7524233702374925,
        4.752441965360805,
        4.752460560484117,
        4.752479155607429,
        4.7524977507307415,
        4.752516345854054,
        4.752534940977366,
        4.752553536100678,
        4.752572131223991,
        4.752590726347303,
        4.752609321470615,
        4.752627916593927,
        4.75264651171724,
        4.752664630042518,
        4.75268322516583,
        4.752701820289143,
        4.752720415412456,
        4.752739010535768,
        4.75275760565908,
        4.752776200782392,
        4.752794795905705,
        4.752813391029017,
        4.752831986152329,
        4.752850581275641,
        4.752869176398954,
        4.752887771522266,
        4.752906366645578,
        4.7529249617688905,
        4.752943556892203,
        4.752961675217481,
        4.752980270340793,
        4.7529988654641055,
        4.753017460587418,
        4.75303605571073,
        4.753054650834042,
        4.753073245957355,
        4.753091841080667,
        4.753110436203979,
        4.753129031327291,
        4.75314714965257,
        4.753165744775882,
        4.753184339899194,
        4.7532029350225065,
        4.753221530145819,
        4.753240125269131,
        4.753258720392444,
        4.753277315515756,
        4.753295433841035,
        4.753314028964347,
        4.753332624087659,
        4.7533512192109715,
        4.753369814334284,
        4.753388409457596,
        4.753406527782874,
        4.753425122906187,
        4.753443718029499,
        4.753462313152811,
        4.753480908276123,
        4.753499503399436,
        4.753517621724715,
        4.753536216848027,
        4.753554811971339,
        4.753573407094652,
        4.753592002217964,
        4.753610120543242,
        4.753628715666554,
        4.753647310789867,
        4.753665905913179,
        4.753684501036491,
        4.7537026193617695,
        4.753721214485082,
        4.753739809608394,
        4.753758404731706,
        4.753776999855019,
        4.753795118180298,
        4.75381371330361,
        4.753832308426922,
        4.7538509035502345,
        4.753869021875513,
        4.753887616998825,
        4.753906212122137,
        4.75392480724545,
        4.753942925570729,
        4.753961520694041,
        4.753980115817353,
        4.753998710940666,
        4.754016829265944,
        4.754035424389256,
        4.75423854035159,
        4.754257135474902,
        4.754275253800181,
        4.754293848923493,
        4.754312444046805,
        4.7543310391701175,
        4.754349157495397,
        4.754367752618709,
        4.754386347742021,
        4.7544044660672995,
        4.754423061190612,
        4.754441656313924,
        4.754459774639203,
        4.7544783697625155,
        4.754496964885828,
        4.754515083211106,
        4.754533678334418,
        4.754552273457731,
        4.754570391783009,
        4.754588986906321,
        4.7546071052316,
        4.754625700354913,
        4.754644295478225,
        4.754662413803503,
        4.7546810089268154,
        4.754699604050128,
        4.754717722375406,
        4.754736317498718,
        4.7547544358239975,
        4.75477303094731,
        4.754791626070622,
        4.7548097443959,
        4.754828339519213,
        4.754846934642525,
        4.754865052967803,
        4.754883648091115,
        4.754901766416395,
        4.754920361539707,
        4.754938479864985,
        4.7549570749882974,
        4.75497567011161,
        4.754993788436889,
        4.755012383560201,
        4.7550305018854795,
        4.755049097008792,
        4.755067692132104,
        4.755085810457382,
        4.755104405580695,
        4.755122523905974,
        4.755141119029286,
        4.755159237354564,
        4.755177832477877,
        4.755195950803155,
        4.755214545926467,
        4.755232664251746,
        4.755251259375059,
        4.755269854498371,
        4.755287972823649,
        4.7553065679469615,
        4.75532468627224,
        4.755343281395552,
        4.755361399720831,
        4.7553799948441435,
        4.755398113169422,
        4.755416708292734,
        4.755434826618012,
        4.755453421741326,
        4.755471540066604,
        4.755490135189916,
        4.7555082535151945,
        4.755526848638507,
        4.755544966963786,
        4.755563562087098,
        4.7555816804123765,
        4.755600275535689,
        4.755618393860967,
        4.755636988984279,
        4.7556551073095585,
        4.755673225634837,
        4.755691820758149,
        4.755709939083427,
        4.75572853420674,
        4.755746652532019,
        4.755765247655331,
        4.7557833659806095,
        4.755801961103922,
        4.7558200794292,
        4.755838674552512,
        4.7558567928777915,
        4.75587491120307,
        4.755893506326382,
        4.75591162465166,
        4.755930219774973,
        4.755948338100252,
        4.755966933223564,
        4.755985051548842,
        4.756003169874122,
        4.756021764997434,
        4.756039883322712,
        4.7560584784460245,
        4.756076596771303,
        4.756094715096582,
        4.756113310219894,
        4.756131428545173,
        4.756150023668485,
        4.756168141993763,
        4.756186260319042,
        4.756204855442355,
        4.756222973767633,
        4.756241092092911,
        4.7562596872162235,
        4.756277805541503,
        4.756296400664815,
        4.756314518990093,
        4.756332637315372,
        4.756351232438684,
        4.756369350763963,
        4.756387469089241,
        4.756406064212554,
        4.756424182537832,
        4.756442300863111,
        4.756460895986423,
        4.756479014311702,
        4.75649713263698,
        4.756515727760292,
        4.7565338460855715,
        4.75655196441085,
        4.756570559534162,
        4.756588677859441,
        4.75660679618472,
        4.756625391308032,
        4.75664350963331,
        4.756661627958589,
        4.756679746283868,
        4.75669834140718,
        4.756716459732458,
        4.7567345780577375,
        4.75675317318105,
        4.756771291506328,
        4.756789409831606,
        4.756808004954919,
        4.756826123280198,
        4.756844241605476,
        4.7568623599307545,
        4.756880955054067,
        4.756899073379346,
        4.756917191704624,
        4.7569353100299026,
        4.756953905153215,
        4.756972023478494,
        4.756990141803772,
        4.757008260129051,
        4.757026855252363,
        4.757044973577642,
        4.75706309190292,
        4.7570812102282,
        4.757099805351512,
        4.75711792367679,
        4.7571360420020685,
        4.757154160327348,
        4.75717275545066,
        4.757190873775938,
        4.757208992101217,
        4.757227110426496,
        4.757245228751774,
        4.757263823875086,
        4.757281942200365,
        4.757300060525644,
        4.757318178850922,
        4.7573362971762005,
        4.757354892299513,
        4.757373010624792,
        4.75739112895007,
        4.757409247275349,
        4.757427365600628,
        4.757445483925906,
        4.757464079049218,
        4.757482197374497,
        4.757500315699776,
        4.757518434025054,
        4.757536552350333,
        4.757554670675612,
        4.757573265798924,
        4.757591384124202,
        4.757609502449481,
        4.75762762077476,
        4.757645739100038,
        4.757663857425317,
        4.757681975750596,
        4.757700570873908,
        4.757718689199186,
        4.7577368075244655,
        4.757754925849744,
        4.757773044175022,
        4.757791162500301,
        4.75780928082558,
        4.757827399150858,
        4.75784599427417,
        4.757864112599449,
        4.757882230924728,
        4.757900349250006,
        4.757918467575285,
        4.757936585900564,
        4.757954704225842,
        4.757972822551121,
        4.757990940876399,
        4.758009059201678,
        4.75802765432499,
        4.758045772650269,
        4.7580638909755475,
        4.758082009300826,
        4.758100127626105,
        4.758118245951383,
        4.758136364276662,
        4.758154482601941,
        4.758172600927219,
        4.758190719252498,
        4.758208837577777,
        4.758226955903055,
        4.758245074228334,
        4.7582631925536125,
        4.758281310878891,
        4.75829942920417,
        4.758317547529448,
        4.758335665854727,
        4.758353784180006,
        4.758372379303318,
        4.7583904976285964,
        4.758408615953875,
        4.758426734279154,
        4.758444852604432,
        4.758462970929711,
        4.75848108925499,
        4.758499207580268,
        4.758517325905546,
        4.758535444230826,
        4.758553562556104,
        4.758571680881382,
        4.7585897992066615,
        4.75860791753194,
        4.758626035857218,
        4.758644154182497,
        4.758662272507776,
        4.758679914035021,
        4.758698032360299,
        4.7587161506855775,
        4.758734269010857,
        4.758752387336135,
        4.758770505661414,
        4.758788623986693,
        4.758806742311971,
        4.75882486063725,
        4.758842978962528,
        4.758861097287807,
        4.758879215613086,
        4.758897333938364,
        4.7589154522636425,
        4.758933570588922,
        4.7589516889142,
        4.758969807239478,
        4.758987925564758,
        4.759006043890036,
        4.759023685417281,
        4.7590418037425595,
        4.759059922067838,
        4.759078040393117,
        4.759096158718395,
        4.759114277043674,
        4.759132395368953,
        4.759150513694231,
        4.7591686320195095,
        4.759186750344789,
        4.759204391872033,
        4.759222510197312,
        4.7592406285225906,
        4.759258746847869,
        4.759276865173148,
        4.759294983498426,
        4.759313101823706,
        4.759331220148984,
        4.759349338474262,
        4.7593669800015075,
        4.759385098326786,
        4.759403216652065,
        4.759421334977343,
        4.759439453302622,
        4.759457571627901,
        4.759475213155145,
        4.759493331480424,
        4.759511449805703,
        4.759529568130981,
        4.75954768645626,
        4.759565804781539,
        4.759583923106817,
        4.759601564634062,
        4.7596196829593405,
        4.75963780128462,
        4.759655919609898,
        4.759674037935176,
        4.7596916794624216,
        4.7597097977877,
        4.759727916112979,
        4.759746034438257,
        4.759764152763536,
        4.759781794290781,
        4.759799912616059,
        4.7598180309413385,
        4.759836149266617,
        4.759854267591896,
        4.75987190911914,
        4.75989002744442,
        4.759908145769698,
        4.759926264094976,
        4.7599439056222215,
        4.7599620239475,
        4.759980142272779,
        4.759998260598057,
        4.760016378923336,
        4.760034020450581,
        4.760052138775859,
        4.760070257101138,
        4.760088375426417,
        4.760106016953662,
        4.76012413527894,
        4.760142253604219,
        4.760159895131464,
        4.760178013456742,
        4.760196131782021,
        4.7602142501073,
        4.760231891634545,
        4.760250009959823,
        4.760268128285102,
        4.760286246610381,
        4.760303888137625,
        4.760322006462904,
        4.760340124788183,
        4.760375884640706,
        4.760501759321589,
        4.7605198776468685,
        4.76057375582467,
        4.760591397351916,
        4.760609515677194,
        4.760627634002472,
        4.7606452755297175,
        4.760663393854996,
        4.760681512180275,
        4.760734913560043,
        4.760753031885322,
        4.7607711502106005,
        4.760788791737846,
        4.760806910063124,
        4.760825028388402,
        4.760842669915648,
        4.760860788240926,
        4.760878906566205,
        4.7608965480934495,
        4.760914666418729,
        4.760932307945974,
        4.760950426271252,
        4.760968544596531,
        4.760986186123776,
        4.761004304449054,
        4.7610219459762995,
        4.761040064301578,
        4.761058182626857,
        4.761075824154101,
        4.761093942479381,
        4.761111584006625,
        4.761129702331904,
        4.7611473438591485,
        4.761165462184428,
        4.761183580509706,
        4.761201222036951,
        4.76121934036223,
        4.761236981889475,
        4.761255100214753,
        4.761272741741998,
        4.761290860067277,
        4.761308978392555,
        4.7613266199198,
        4.761344738245079,
        4.761362379772324,
        4.761380498097602,
        4.7613981396248475,
        4.761416257950126,
        4.761433899477371,
        4.761452017802649,
        4.761469659329895,
        4.761487777655174,
        4.761505419182418,
        4.761523537507697,
        4.761541179034942,
        4.761559297360221,
        4.761576938887465,
        4.761595057212745,
        4.761612698739989,
        4.761630817065268,
        4.7616484585925125,
        4.761666576917792,
        4.761684218445036,
        4.761702336770315,
        4.76171997829756,
        4.761738096622839,
        4.761755738150083,
        4.761773856475362,
        4.761791498002607,
        4.761809616327886,
        4.76182725785513,
        4.763890601345743,
        4.766132267300938,
        4.766153246414419,
        4.766174702325933,
        4.766196158237447,
        4.766217137350927,
        4.766238593262441,
        4.766259572375922,
        4.766281028287436,
        4.766302007400917,
        4.766323463312431,
        4.766344442425911,
        4.766365898337425,
        4.766386877450906,
        4.7664083333624205,
        4.766429312475901,
        4.766450768387415,
        4.766471747500895,
        4.766493203412409,
        4.76651418252589,
        4.7665356384374045,
        4.766556617550885,
        4.766578073462399,
        4.766599052575879,
        4.766620508487393,
        4.766641487600874,
        4.7666624667143545,
        4.766683922625869,
        4.766704901739349,
        4.766726357650863,
        4.766747336764344,
        4.766768792675858,
        4.766789771789338,
        4.7668112277008525,
        4.766832206814333,
        4.766853185927814,
        4.766874641839328,
        4.766895620952808,
        4.766917076864322,
        4.766938055977803,
        4.766959035091284,
        4.766980491002798,
        4.767001470116278,
        4.767022926027792,
        4.767043905141273,
        4.767064884254753,
        4.7670863401662675,
        4.767107319279748,
        4.767128775191262,
        4.767149754304743,
        4.767170733418223,
        4.767192189329737,
        4.7672131684432175,
        4.767234147556699,
        4.767255603468213,
        4.767276582581693,
        4.767297561695173,
        4.767382431745163,
        4.767424389972124,
        4.767445845883638,
        4.767593653274069,
        4.7676146323875495,
        4.76763561150103,
        4.767657067412544,
        4.767678046526025,
        4.767699025639505,
        4.767720481551019,
        4.767741460664499,
        4.7677624397779805,
        4.767783418891461,
        4.767804874802975,
        4.767825853916455,
        4.767846833029936,
        4.767867812143416,
        4.7678892680549305,
        4.767910247168411,
        4.767931226281892,
        4.767952205395372,
        4.767973184508852,
        4.767994640420366,
        4.7680156195338474,
        4.768036598647328,
        4.768057577760809,
        4.768079033672323,
        4.768100012785803,
        4.768120991899283,
        4.768141971012764,
        4.768162950126245,
        4.768184406037759,
        4.768205385151239,
        4.76822636426472,
        4.7682473433782,
        4.76826832249168,
        4.7682893016051615,
        4.768310757516676,
        4.768331736630156,
        4.768352715743636,
        4.768373694857117,
        4.768394673970597,
        4.7684156530840776,
        4.768437108995592,
        4.768458088109073,
        4.768479067222553,
        4.768500046336033,
        4.768521025449514,
        4.7685420045629945,
        4.768562983676475,
        4.768583962789956,
        4.76860541870147,
        4.76862639781495,
        4.768647376928431,
        4.768668356041911,
        4.768689335155392,
        4.768710314268873,
        4.768731293382353,
        4.768752272495833,
        4.768773251609314,
        4.768794230722794,
        4.768815209836275,
        4.768836665747789,
        4.76885764486127,
        4.76887862397475,
        4.76889960308823,
        4.768920582201711,
        4.7689415613151915,
        4.768962540428672,
        4.768983519542153,
        4.769004498655633,
        4.769025477769113,
        4.769046456882594,
        4.7690674359960745,
        4.769088415109555,
        4.769109394223036,
        4.769130373336516,
        4.769151352449997,
        4.769172331563477,
        4.7691933106769575,
        4.769214289790439,
        4.769235268903919,
        4.769256248017399,
        4.76927722713088,
        4.76929820624436,
        4.7693191853578405,
        4.769340164471322,
        4.769361143584802,
        4.769382122698282,
        4.769403101811763,
        4.769424080925243,
        4.7694450600387235,
        4.769466039152205,
        4.769487018265685,
        4.769507997379165,
        4.769528976492646,
        4.769549955606126,
        4.7695709347196065,
        4.769591913833088,
        4.769612892946568,
        4.769633872060048,
        4.769654851173529,
        4.769675830287009,
        4.769696332602456,
        4.769717311715937,
        4.769738290829418,
        4.769759269942898,
        4.769780249056378,
        4.769801228169859,
        4.769822207283339,
        4.76984318639682,
        4.769864165510301,
        4.769885144623781,
        4.769906123737261,
        4.769926626052708,
        4.769947605166188,
        4.7699685842796695,
        4.76998956339315,
        4.77001054250663,
        4.770031521620111,
        4.770052500733591,
        4.770073003049038,
        4.770093982162519,
        4.770114961275999,
        4.77013594038948,
        4.77015691950296,
        4.77017789861644,
        4.770198877729921,
        4.7702193800453685,
        4.770240359158849,
        4.770261338272329,
        4.77028231738581,
        4.77030329649929,
        4.77032427561277,
        4.7703447779282175,
        4.770365757041698,
        4.770386736155179,
        4.770407715268659,
        4.770428694382139,
        4.770449196697586,
        4.770470175811067,
        4.770491154924548,
        4.770512134038028,
        4.770532636353475,
        4.770553615466955,
        4.770574594580435,
        4.7705955736939165,
        4.770616552807397,
        4.770637055122844,
        4.770658034236324,
        4.770679013349804,
        4.770699992463285,
        4.770720494778732,
        4.770741473892213,
        4.770762453005693,
        4.770783432119174,
        4.77080393443462,
        4.770824913548101,
        4.7708458926615815,
        4.770866394977029,
        4.770887374090509,
        4.770908353203989,
        4.77092933231747,
        4.770949834632916,
        4.7709708137463975,
        4.770991792859878,
        4.771012295175325,
        4.771033274288805,
        4.771054253402285,
        4.771074755717732,
        4.771095734831213,
        4.771116713944694,
        4.77113721626014,
        4.771158195373621,
        4.771179174487101,
        4.771199676802548,
        4.771220655916029,
        4.771241635029509,
        4.771262137344956,
        4.771283116458436,
        4.771304095571917,
        4.771324597887364,
        4.771345577000845,
        4.771366556114325,
        4.771387058429772,
        4.771408037543252,
        4.771428539858699,
        4.7714495189721795,
        4.771470498085661,
        4.771491000401107,
        4.771511979514588,
        4.771532958628068,
        4.771553460943515,
        4.7715744400569955,
        4.771594942372443,
        4.771615921485923,
        4.771636900599403,
        4.77165740291485,
        4.77167838202833,
        4.7716988843437775,
        4.771719863457258,
        4.771740365772705,
        4.771761344886185,
        4.771782323999666,
        4.771802826315112,
        4.7718238054285935,
        4.77184430774404,
        4.771865286857521,
        4.771885789172968,
        4.771906768286448,
        4.771927270601895,
        4.771948249715376,
        4.771968752030823,
        4.771989731144303,
        4.77201023345975,
        4.77203121257323,
        4.772051714888677,
        4.772072694002158,
        4.772093196317605,
        4.772114175431085,
        4.772134677746532,
        4.772155656860012,
        4.7721761591754595,
        4.77219713828894,
        4.772217640604387,
        4.772238619717867,
        4.772259122033314,
        4.772280101146794,
        4.7723006034622415,
        4.772321582575722,
        4.772342084891169,
        4.772363064004649,
        4.772383566320096,
        4.772404545433576,
        4.7724250477490235,
        4.772446026862504,
        4.772466529177951,
        4.772487031493398,
        4.772508010606878,
        4.772528512922325,
        4.772549492035806,
        4.772569994351253,
        4.772590973464733,
        4.77261147578018,
        4.772631978095626,
        4.772652957209107,
        4.772673459524554,
        4.772694438638035,
        4.772714940953481,
        4.772735443268928,
        4.772756422382408,
        4.7727769246978555,
        4.772797903811336,
        4.772818406126783,
        4.77283890844223,
        4.77285988755571,
        4.772880389871157,
        4.772900892186604,
        4.772921871300085,
        4.772942373615531,
        4.772962875930978,
        4.772983855044459,
        4.7730043573599055,
        4.773025336473387,
        4.773045838788833,
        4.77306634110428,
        4.77308732021776,
        4.773149303962135,
        4.77327279465285,
        4.77329377376633,
        4.773314276081777,
        4.773334778397223,
        4.773355757510704,
        4.773376259826151,
        4.773396762141598,
        4.773417264457045,
        4.773438243570525,
        4.773458745885972,
        4.773479248201419,
        4.773499750516866,
        4.773520729630347,
        4.773541231945793,
        4.77356173426124,
        4.773582236576687,
        4.7736032156901675,
        4.773623718005615,
        4.773644220321061,
        4.773664722636508,
        4.773685701749988,
        4.773706204065435,
        4.773726706380883,
        4.773747208696329,
        4.77376818780981,
        4.773788690125256,
        4.773809192440703,
        4.7738296947561505,
        4.773850197071597,
        4.773871176185078,
        4.773891678500524,
        4.773912180815971,
        4.773932683131418,
        4.773953185446865,
        4.773973687762312,
        4.773994666875792,
        4.774015169191239,
        4.774035671506686,
        4.774056173822133,
        4.77407667613758,
        4.774097178453027,
        4.774118157566507,
        4.774138659881954,
        4.774159162197401,
        4.774179664512848,
        4.774200166828295,
        4.774220669143742,
        4.774241171459188,
        4.774262150572669,
        4.7742826528881155,
        4.774303155203563,
        4.77432365751901,
        4.774344159834456,
        4.774364662149903,
        4.77438516446535,
        4.774405666780797,
        4.774426645894278,
        4.774447148209724,
        4.774467650525171,
        4.774488152840618,
        4.7745086551560645,
        4.774529157471512,
        4.774549659786959,
        4.774570162102405,
        4.774590664417852,
        4.774611166733299,
        4.7746316690487465,
        4.774652171364193,
        4.77467267367964,
        4.774693175995087,
        4.774714155108567,
        4.774734657424014,
        4.774755159739461,
        4.774775662054908,
        4.774796164370355,
        4.774816666685801,
        4.774837169001248,
        4.7748576713166955,
        4.774878173632142,
        4.774898675947589,
        4.774919178263036,
        4.774939680578482,
        4.774960182893929,
        4.774980685209377,
        4.775001187524823,
        4.77502168984027,
        4.775042192155717,
        4.775062694471163,
        4.7750831967866105,
        4.775103699102058,
        4.775124201417504,
        4.775144703732951,
        4.775165206048398,
        4.775185708363845,
        4.775206210679292,
        4.775226712994739,
        4.775247215310186,
        4.775267717625632,
        4.775288219941079,
        4.7753082454584925,
        4.77532874777394,
        4.775349250089386,
        4.775369752404833,
        4.77539025472028,
        4.7754107570357265,
        4.775431259351174,
        4.775451761666621,
        4.775472263982067,
        4.775492766297514,
        4.775513268612961,
        4.775533770928408,
        4.775554273243855,
        4.775574298761268,
        4.775594801076715,
        4.775615303392161,
        4.7756358057076085,
        4.775656308023056,
        4.775676810338502,
        4.775697312653949,
        4.775717814969396,
        4.775738317284843,
        4.7757583428022565,
        4.775778845117703,
        4.77579934743315,
        4.775819849748597,
        4.775840352064043,
        4.7758608543794905,
        4.775881356694938,
        4.775901382212351,
        4.775921884527797,
        4.775942386843244,
        4.775962889158691,
        4.775983391474138,
        4.776003893789585,
        4.776023919306998,
        4.776044421622445,
        4.776064923937891,
        4.7760854262533385,
        4.776105928568786,
        4.776125954086199,
        4.776146456401645,
        4.776166958717092,
        4.776248491180846,
        4.776268993496293,
        4.776350525960047,
        4.776371028275494,
        4.77639153059094,
        4.7764115561083536,
        4.776432058423801,
        4.776574621035861,
        4.776595123351308,
        4.7766356511841686,
        4.776656153499615,
        4.776676655815062,
        4.776697158130509,
        4.776717183647922,
        4.776737685963369,
        4.776758188278816,
        4.776778213796229,
        4.776798716111676,
        4.776819218427123,
        4.776839243944536,
        4.776859746259983,
        4.77688024857543,
        4.776900274092843,
        4.77692077640829,
        4.776941278723736,
        4.77696130424115,
        4.776981806556597,
        4.777002308872044,
        4.777022334389457,
        4.777042836704903,
        4.7770633390203505,
        4.777083364537764,
        4.777103866853211,
        4.777124369168657,
        4.77714439468607,
        4.7771648970015175,
        4.777184922518931,
        4.777205424834378,
        4.777225927149824,
        4.777245952667237,
        4.777266454982684,
        4.777286957298132,
        4.777306982815545,
        4.777327485130992,
        4.777347510648405,
        4.777368012963851,
        4.7773885152792985,
        4.777408540796712,
        4.777429043112159,
        4.777449068629572,
        4.777469570945018,
        4.7774895964624315,
        4.777510098777879,
        4.777530601093326,
        4.777550626610739,
        4.777571128926185,
        4.7775911544435985,
        4.777611656759046,
        4.777631682276459,
        4.777652184591906,
        4.777672210109319,
        4.7776927124247655,
        4.777712737942179,
        4.777733240257626,
        4.777753265775039,
        4.777773768090486,
        4.777794270405932,
        4.777814295923346,
        4.777834798238793,
        4.777854823756206,
        4.777875326071653,
        4.777895351589066,
        4.7779158539045135,
        4.777935879421927,
        4.777956381737373,
        4.777976407254786,
        4.777996432772199,
        4.7780169350876465,
        4.77803696060506,
        4.778057462920507,
        4.77807748843792,
        4.778097990753366,
        4.7781180162707795,
        4.778138518586227,
        4.77815854410364,
        4.778179046419087,
        4.7781990719365,
        4.778219574251946,
        4.77823959976936,
        4.778259625286773,
        4.77828012760222,
        4.778300153119633,
        4.77832065543508,
        4.7783406809524935,
        4.77836118326794,
        4.778381208785353,
        4.778401234302766,
        4.778421736618213,
        4.7784417621356265,
        4.778462264451074,
        4.778482289968487,
        4.7785023154859,
        4.778522817801347,
        4.7785428433187604,
        4.778563345634207,
        4.77858337115162,
        4.778603396669033,
        4.77862389898448,
        4.7786439245018935,
        4.778663950019307,
        4.778684452334754,
        4.778704477852167,
        4.778724980167613,
        4.7787450056850265,
        4.77876503120244,
        4.778785533517887,
        4.7788055590353,
        4.778825584552713,
        4.77884608686816,
        4.778866112385574,
        4.778886137902987,
        4.778906640218433,
        4.778926665735846,
        4.778946691253259,
        4.778967193568707,
        4.77898721908612,
        4.779007244603533,
        4.779027270120946,
        4.779047772436393,
        4.7790677979538065,
        4.77908782347122,
        4.779108325786667,
        4.77912835130408,
        4.779148376821493,
        4.7791684023389065,
        4.779188904654353,
        4.779208930171766,
        4.779228955689179,
        4.779249458004626,
        4.7792694835220395,
        4.779289509039453,
        4.779309534556866,
        4.779330036872313,
        4.779350062389726,
        4.7793700879071395,
        4.779390113424553,
        4.779410615739999,
        4.779430641257412,
        4.779450666774825,
        4.7794706922922385,
        4.779490717809652,
        4.779511220125099,
        4.779531245642512,
        4.779551271159925,
        4.7795712966773385,
        4.779591798992786,
        4.779611824510199,
        4.779631850027612,
        4.779651875545025,
        4.779671901062438,
        4.779692403377886,
        4.779712428895299,
        4.779732454412712,
        4.779752479930125,
        4.779772505447538,
        4.779792530964952,
        4.779813033280398,
        4.779833058797811,
        4.779853084315224,
        4.7798731098326375,
        4.779893135350051,
        4.779913160867464,
        4.779933663182911,
        4.779953688700324,
        4.779973714217737,
        4.779993739735151,
        4.780013765252564,
        4.780033790769977,
        4.78005381628739,
        4.780074318602837,
        4.780094344120251,
        4.780114369637664,
        4.780134395155077,
        4.78015442067249,
        4.780174446189903,
        4.780194471707317,
        4.78021449722473,
        4.780234522742143,
        4.780254548259556,
        4.780275050575003,
        4.7802950760924166,
        4.78031510160983,
        4.780335127127243,
        4.780355152644656,
        4.780375178162069,
        4.780395203679483,
        4.780415229196896,
        4.780435254714309,
        4.780455280231722,
        4.780475305749135,
        4.780495331266549,
        4.780515356783962,
        4.780535382301375,
        4.780555407818788,
        4.780575433336201,
        4.780595935651648,
        4.780615961169062,
        4.780635986686475,
        4.780656012203888,
        4.780676037721301,
        4.7806960632387145,
        4.780716088756128,
        4.780736114273541,
        4.780756139790954,
        4.780776165308367,
        4.780796190825781,
        4.780816216343194,
        4.780836241860607,
        4.78085626737802,
        4.780876292895433,
        4.780896318412847,
        4.78091634393026,
        4.780936369447673,
        4.780956394965086,
        4.780976420482499,
        4.780995969201879,
        4.781015994719292,
        4.781036020236705,
        4.781056045754118,
        4.7810760712715314,
        4.781096096788945,
        4.781116122306358,
        4.781136147823771,
        4.781156173341184,
        4.7811761988585975,
        4.781196224376011,
        4.781216249893424,
        4.781236275410837,
        4.78125630092825,
        4.7812763264456635,
        4.781296351963077,
        4.781315900682457,
        4.78133592619987,
        4.781355951717283,
        4.781375977234696,
        4.78139600275211,
        4.781416028269523,
        4.781436053786936,
        4.781456079304349,
        4.781476104821762,
        4.781496130339176,
        4.781515679058555,
        4.781535704575968,
        4.781555730093381,
        4.7815757556107945,
        4.781595781128208,
        4.781615806645621,
        4.781635832163034,
        4.781655380882413,
        4.781675406399827,
        4.78169543191724,
        4.781715457434654,
        4.781735482952067,
        4.78175550846948,
        4.7817750571888595,
        4.781795082706273,
        4.781815108223686,
        4.781835133741099,
        4.781855159258512,
        4.7818751847759255,
        4.781894733495305,
        4.781914759012718,
        4.781934784530131,
        4.781954810047544,
        4.781974835564958,
        4.781994384284338,
        4.782014409801751,
        4.782034435319164,
        4.782054460836577,
        4.782074486353991,
        4.78209403507337,
        4.782114060590783,
        4.782134086108196,
        4.782154111625609,
        4.782173660344989,
        4.782193685862402,
        4.782213711379815,
        4.782233736897228,
        4.7822532856166085,
        4.782273311134022,
        4.782293336651435,
        4.782313362168848,
        4.782332910888227,
        4.7823529364056405,
        4.782372961923054,
        4.782392987440467,
        4.782412536159847,
        4.78243256167726,
        4.7824525871946735,
        4.782472135914053,
        4.782492161431466,
        4.782512186948879,
        4.782532212466292,
        4.782551761185672,
        4.782571786703085,
        4.782591812220498,
        4.782611360939878,
        4.782631386457291,
        4.782651411974705,
        4.782670960694084,
        4.782690986211497,
        4.78271101172891,
        4.7827305604482895,
        4.782750585965703,
        4.782770611483116,
        4.782790160202496,
        4.782810185719909,
        4.782830211237322,
        4.782849759956702,
        4.782889810991528,
        4.7829293852283215,
        4.783008533701906,
        4.78302855921932,
        4.783048584736733,
        4.783068133456113,
        4.783088158973526,
        4.783107707692905,
        4.783127733210319,
        4.783147758727732,
        4.783167307447111,
        4.783187332964524,
        4.783206881683904,
        4.783226907201318,
        4.783246932718731,
        4.78326648143811,
        4.783286506955523,
        4.7833060556749025,
        4.783326081192316,
        4.783345629911696,
        4.783365655429109,
        4.783385680946522,
        4.7834052296659015,
        4.783425255183315,
        4.783444803902695,
        4.783464829420108,
        4.783603100849866,
        4.783623126367279,
        4.783642675086658,
        4.783662700604071,
        4.783721823560244,
        4.783741849077657,
        4.783761397797036,
        4.783820997551243,
        4.784374083270274,
        4.784393631989654,
        4.784413657507067,
        4.7844332062264465,
        4.78445323174386,
        4.78447278046324,
        4.784492329182619,
        4.784512354700032,
        4.784551452138792,
        4.784571477656205,
        4.784591026375584,
        4.7846105750949635,
        4.784630600612377,
        4.784689723568549,
        4.7847092722879285,
        4.784728821007309,
        4.784748846524722,
        4.784827518200274,
        4.784847066919653,
        4.784965312831997,
        4.7849848615513775,
        4.785004887068791,
        4.78502443578817,
        4.7850835587443425,
        4.785103107463722,
        4.785122656183102,
        4.785142681700515,
        4.785162230419894,
        4.785181779139274,
        4.785201327858654,
        4.785221353376067,
        4.785240902095446,
        4.7852604508148255,
        4.785279999534206,
        4.785299548253585,
        4.785319573770998,
        4.785339122490377,
        4.7853586712097576,
        4.785378219929137,
        4.78539824544655,
        4.785417794165929,
        4.785437342885309,
        4.785456891604689,
        4.785476440324068,
        4.785496465841481,
        4.785516014560861,
        4.7855355632802405,
        4.785555111999621,
        4.785574660719,
        4.785594686236413,
        4.785614234955792,
        4.785633783675173,
        4.785653332394552,
        4.785672881113931,
        4.785692429833311,
        4.785712455350724,
        4.785732004070104,
        4.785751552789483,
        4.785771101508863,
        4.785790650228242,
        4.785810198947622,
        4.785829747667002,
        4.785849773184415,
        4.785869321903794,
        4.7858888706231735,
        4.785908419342554,
        4.785927968061933,
        4.785947516781312,
        4.785967065500692,
        4.7859866142200715,
        4.786006639737485,
        4.786026188456864,
        4.786045737176244,
        4.786065285895623,
        4.786084834615004,
        4.786104383334383,
        4.786123932053762,
        4.786143480773142,
        4.7861630294925215,
        4.786182578211901,
        4.786202126931281,
        4.78622167565066,
        4.786241701168073,
        4.786261249887453,
        4.786280798606833,
        4.786300347326212,
        4.786319896045591,
        4.786339444764971,
        4.786358993484351,
        4.78637854220373,
        4.78639809092311,
        4.786417639642489,
        4.786437188361869,
        4.786456737081249,
        4.786476285800628,
        4.786495834520007,
        4.786515383239387,
        4.786534931958767,
        4.786554480678146,
        4.786574029397526,
        4.786593578116905,
        4.786613126836285,
        4.786632675555665,
        4.786652224275044,
        4.786671772994424,
        4.786691321713803,
        4.786710870433183,
        4.786730419152563,
        4.786749967871942,
        4.786769516591321,
        4.7867890653107015,
        4.786808614030081,
        4.78682816274946,
        4.78684771146884,
        4.786867260188219,
        4.786886808907599,
        4.786906357626979,
        4.786925906346358,
        4.786945455065737,
        4.7869650037851175,
        4.786984552504497,
        4.787004101223876,
        4.787023649943256,
        4.787043198662635,
        4.787062270583982,
        4.787081819303361,
        4.78710136802274,
        4.78712091674212,
        4.7871404654614995,
        4.787160014180879,
        4.787179562900259,
        4.787199111619638,
        4.787218660339018,
        4.787238209058398,
        4.787257757777777,
        4.787276829699123,
        4.787296378418502,
        4.7873159271378825,
        4.787335475857262,
        4.787355024576641,
        4.787374573296021,
        4.7873941220154,
        4.78741367073478,
        4.78743321945416,
        4.787452291375505,
        4.787471840094885,
        4.7874913888142645,
        4.787510937533644,
        4.787530486253024,
        4.787550034972403,
        4.787569106893749,
        4.787588655613129,
        4.787608204332508,
        4.787627753051888,
        4.787647301771267,
        4.7876668504906466,
        4.787685922411993,
        4.787705471131372,
        4.787725019850752,
        4.787744568570131,
        4.787764117289512,
        4.787783666008891,
        4.787802737930237,
        4.787822286649616,
        4.7878418353689955,
        4.787861384088376,
        4.787880932807755,
        4.787900004729101,
        4.78791955344848,
        4.78793910216786,
        4.78795865088724,
        4.787977722808585,
        4.787997271527965,
        4.7880168202473445,
        4.788036368966724,
        4.788055917686104,
        4.788074989607449,
        4.788094538326829,
        4.788114087046209,
        4.788133635765588,
        4.788152707686934,
        4.788172256406313,
        4.7881918051256935,
        4.788210877047039,
        4.788230425766419,
        4.788249974485798,
        4.788269523205178,
        4.788288595126524,
        4.788308143845904,
        4.788327692565283,
        4.788347241284662,
        4.788366313206009,
        4.788385861925388,
        4.788405410644768,
        4.788424482566113,
        4.7884440312854935,
        4.788463580004873,
        4.788482651926219,
        4.788502200645598,
        4.788521749364977,
        4.788540821286324,
        4.788560370005703,
        4.788579918725083,
        4.788598990646428,
        4.7886185393658085,
        4.788638088085188,
        4.788657160006534,
        4.788676708725913,
        4.7886962574452925,
        4.788715329366639,
        4.788734878086018,
        4.788754426805398,
        4.788773498726743,
        4.7887930474461236,
        4.788812596165503,
        4.788831668086849,
        4.788851216806228,
        4.788870765525608,
        4.788889837446954,
        4.788909386166334,
        4.788928458087679,
        4.788948006807059,
        4.788967555526439,
        4.788986627447785,
        4.789006176167164,
        4.78902524808851,
        4.7890447968078895,
        4.789064345527269,
        4.789083417448615,
        4.789102966167994,
        4.7891220380893404,
        4.78914158680872,
        4.789160658730066,
        4.789180207449445,
        4.789199756168825,
        4.789218828090171,
        4.789238376809551,
        4.789257448730896,
        4.789276997450276,
        4.7892960693716216,
        4.789315618091002,
        4.789335166810381,
        4.789354238731727,
        4.789373787451106,
        4.789392859372453,
        4.789412408091832,
        4.789431480013178,
        4.789451028732557,
        4.7894701006539036,
        4.789489649373283,
        4.789508721294629,
        4.789528270014008,
        4.7895473419353545,
        4.789566890654734,
        4.78958596257608,
        4.789605511295459,
        4.789624583216805,
        4.789644131936185,
        4.789663203857531,
        4.78968275257691,
        4.789701824498256,
        4.789721373217636,
        4.789740445138982,
        4.789759993858361,
        4.789779065779707,
        4.7897986144990865,
        4.789817686420433,
        4.789837235139812,
        4.789856307061158,
        4.789875378982504,
        4.789894927701884,
        4.78991399962323,
        4.789933548342609,
        4.789952620263955,
        4.7899721689833346,
        4.789991240904681,
        4.79001078962406,
        4.790029861545406,
        4.790048933466752,
        4.790068482186132,
        4.790280180513071,
        4.790415114356594,
        4.790434186277939,
        4.790453734997319,
        4.7904728069186655,
        4.790491878840011,
        4.790530499480736,
        4.7905495714020825,
        4.790569120121462,
        4.790588192042808,
        4.790607263964154,
        4.790626812683533,
        4.79064588460488,
        4.790664956526225,
        4.790684505245605,
        4.79070357716695,
        4.790722649088297,
        4.790742197807676,
        4.790761269729022,
        4.790780341650368,
        4.790799413571714,
        4.790818962291094,
        4.790838034212439,
        4.790857106133785,
        4.7908766548531645,
        4.790895726774511,
        4.790914798695857,
        4.790933870617202,
        4.790953419336582,
        4.790972491257928,
        4.790991563179274,
        4.791011111898654,
        4.791030183819999,
        4.7910492557413455,
        4.791068327662692,
        4.791087876382071,
        4.7911260202247625,
        4.791145092146109,
        4.791183712786834,
        4.79120278470818,
        4.791221856629526,
        4.791240928550872,
        4.791260477270251,
        4.791279549191597,
        4.791298621112944,
        4.791317693034289,
        4.791336764955635,
        4.791356313675014,
        4.791375385596361,
        4.791394457517707,
        4.791413529439052,
        4.791432601360398,
        4.7914521500797775,
        4.791471222001124,
        4.79149029392247,
        4.791509365843815,
        4.7915284377651615,
        4.791547986484542,
        4.791567058405887,
        4.791586130327233,
        4.791605202248579,
        4.791624274169925,
        4.791643346091271,
        4.79166289481065,
        4.791681966731996,
        4.7917010386533425,
        4.791720110574688,
        4.791739182496034,
        4.79175825441738,
        4.7917773263387256,
        4.791796875058106,
        4.791815946979451,
        4.791835018900797,
        4.791854090822143,
        4.791873162743489,
        4.791892234664835,
        4.791911306586181,
        4.7919303785075265,
        4.791949450428873,
        4.791968999148252,
        4.791988071069598,
        4.792007142990944,
        4.79202621491229,
        4.792045286833636,
        4.792064358754982,
        4.792083430676327,
        4.792102502597674,
        4.79212157451902,
        4.792140646440366,
        4.792159718361711,
        4.7921787902830575,
        4.792198339002437,
        4.792217410923783,
        4.792236482845129,
        4.7922555547664745,
        4.792274626687821,
        4.792293698609167,
        4.792312770530512,
        4.792331842451858,
        4.792350914373205,
        4.79236998629455,
        4.792389058215896,
        4.792408130137242,
        4.792427202058588,
        4.792446273979934,
        4.79246534590128,
        4.792484417822625,
        4.792503489743972,
        4.792522561665318,
        4.792541633586663,
        4.792560705508009,
        4.7925797774293555,
        4.792598849350701,
        4.792617921272047,
        4.792636993193393,
        4.792656065114739,
        4.792675137036085,
        4.792770496642815,
        4.79278956856416,
        4.792808640485506,
        4.792827712406853,
        4.792846784328198,
        4.792865856249544,
        4.79288492817089,
        4.792904000092236,
        4.792923072013582,
        4.792941667136894,
        4.79296073905824,
        4.792979810979586,
        4.792998882900932,
        4.793017954822278,
        4.793037026743623,
        4.7930560986649695,
        4.793075170586316,
        4.793094242507661,
        4.793113314429007,
        4.793132386350353,
        4.793151458271699,
        4.793170530193045,
        4.793189125316357,
        4.793208197237703,
        4.79322726915905,
        4.793246341080395,
        4.793265413001741,
        4.793284484923087,
        4.793303556844433,
        4.793341223889091,
        4.793360295810437,
        4.793379367731783,
        4.793398439653129,
        4.793417511574475,
        4.79343658349582,
        4.793455655417167,
        4.793474250540479,
        4.793493322461825,
        4.79351239438317,
        4.7935314663045165,
        4.793550538225863,
        4.793569610147208,
        4.793588682068554,
        4.7936072771918665,
        4.793626349113213,
        4.793645421034558,
        4.793664492955904,
        4.7936835648772504,
        4.793702160000563,
        4.793721231921908,
        4.793740303843254,
        4.7937593757646,
        4.793778447685947,
        4.793797042809259,
        4.793816114730604,
        4.79383518665195,
        4.793854258573297,
        4.793873330494642,
        4.793891925617954,
        4.7939109975393,
        4.793930069460647,
        4.793949141381992,
        4.793967736505304,
        4.79398680842665,
        4.794005880347997,
        4.794024952269342,
        4.794044024190688,
        4.794062619314,
        4.7940816912353466,
        4.794100763156692,
        4.794119358280004,
        4.79413843020135,
        4.7941575021226965,
        4.794176574044042,
        4.794195169167354,
        4.7942142410887,
        4.7942333130100465,
        4.794252384931392,
        4.794270980054704,
        4.79429005197605,
        4.7943091238973965,
        4.794327719020709,
        4.794346790942055,
        4.7943658628634,
        4.7943849347847465,
        4.794403529908059,
        4.794422601829405,
        4.79444167375075,
        4.7944602688740625,
        4.794479340795409,
        4.794498412716755,
        4.794517007840067,
        4.7945360797614125,
        4.794555151682759,
        4.794573746806071,
        4.794592818727417,
        4.7946118906487625,
        4.794630485772075,
        4.794649557693421,
        4.794763035625429,
        4.794781630748742,
        4.794800702670087,
        4.794819774591433,
        4.794838369714745,
        4.794857441636092,
        4.794876513557438,
        4.79489510868075,
        4.794914180602095,
        4.794932775725408,
        4.794951847646754,
        4.7949709195681,
        4.794989514691412,
        4.795008586612758,
        4.79502718173607,
        4.795046253657416,
        4.795065325578762,
        4.795083920702075,
        4.79510299262342,
        4.795121587746732,
        4.795140659668078,
        4.795159254791391,
        4.795178326712737,
        4.795197398634082,
        4.795215993757394,
        4.795235065678741,
        4.795253660802053,
        4.795272732723399,
        4.795291327846711,
        4.795310399768057,
        4.795328994891369,
        4.795348066812715,
        4.795367138734061,
        4.7953857338573735,
        4.79540480577872,
        4.795423400902032,
        4.795442472823377,
        4.79546106794669,
        4.795480139868036,
        4.795498734991348,
        4.795517806912694,
        4.7955364020360065,
        4.795555473957352,
        4.795574069080664,
        4.79559314100201,
        4.7956117361253225,
        4.795630808046669,
        4.795649403169981,
        4.795668475091326,
        4.795687070214639,
        4.795706142135985,
        4.795724737259297,
        4.795743809180643,
        4.7957624043039555,
        4.795780999427268,
        4.795800071348613,
        4.795818666471925,
        4.7958377383932715,
        4.795856333516584,
        4.79587540543793,
        4.795894000561242,
        4.795913072482588,
        4.795931667605901,
        4.795950739527246,
        4.795969334650558,
        4.795987929773871,
        4.796007001695217,
        4.796025596818529,
        4.796044668739875,
        4.7960632638631875,
        4.7960818589865,
        4.796100930907845,
        4.796119526031157,
        4.7961385979525035,
        4.796157193075816,
        4.796176264997162,
        4.796194860120474,
        4.7962134552437865,
        4.796232527165132,
        4.796251122288444,
        4.796269717411756,
        4.7962887893331025,
        4.796307384456415,
        4.796326456377761,
        4.796345051501073,
        4.7963636466243855,
        4.796382718545731,
        4.796401313669043,
        4.796419908792355,
        4.796438980713702,
        4.796457575837014,
        4.796476170960326,
        4.796495242881672,
        4.7965138380049845,
        4.796532909926331,
        4.796551505049643,
        4.796570100172955,
        4.796589172094301,
        4.796607767217613,
        4.796626362340925,
        4.796644957464237,
        4.796664029385584,
        4.796682624508896,
        4.796701219632208,
        4.796720291553554,
        4.7967388866768665,
        4.796757481800179,
        4.796776553721524,
        4.796795148844836,
        4.796813743968149,
        4.796832815889495,
        4.796851411012807,
        4.796870006136119,
        4.796888601259432,
        4.796907673180778,
        4.79692626830409,
        4.796944863427402,
        4.796963458550715,
        4.79698253047206,
        4.797001125595372,
        4.797019720718685,
        4.797038792640031,
        4.797057387763343,
        4.797075982886655,
        4.797094578009967,
        4.797113649931314,
        4.797132245054626,
        4.797150840177938,
        4.79716943530125,
        4.797188030424563,
        4.797207102345909,
        4.797225697469221,
        4.797244292592533,
        4.797262887715846,
        4.797281959637191,
        4.797300554760503,
        4.7973191498838155,
        4.797337745007128,
        4.79735634013044,
        4.797375412051786,
        4.7973940071750985,
        4.797412602298411,
        4.797431197421723,
        4.797449792545035,
        4.797468864466381,
        4.797487459589694,
        4.797506054713006,
        4.797524649836318,
        4.7975432449596305,
        4.797561840082943,
        4.797580912004289,
        4.797599507127601,
        4.7976181022509135,
        4.797636697374226,
        4.797655292497538,
        4.79767388762085,
        4.7976929595421955,
        4.797711554665508,
        4.79773014978882,
        4.797748744912132,
        4.797767340035445,
        4.797785935158757,
        4.797804530282069,
        4.797823602203415,
        4.797842197326728,
        4.79786079245004,
        4.797879387573352,
        4.797897982696664,
        4.797916577819977,
        4.797935172943289,
        4.797953768066601,
        4.797972363189913,
        4.79799143511126,
        4.798010030234572,
        4.798028625357884,
        4.798047220481196,
        4.798065815604509,
        4.798084410727821,
        4.798103005851133,
        4.798121600974445,
        4.798140196097758,
        4.79815879122107,
        4.798177386344382,
        4.798195981467694,
        4.798214576591007,
        4.798252243635665,
        4.798270838758977,
        4.79828943388229,
        4.798326624128914,
        4.7983452192522265,
        4.798382409498851,
        4.798401004622163,
        4.7984195997454755,
        4.798438194868788,
        4.7984567899921,
        4.798475385115412,
        4.7984939802387245,
        4.798512575362037,
        4.798531170485349,
        4.798549765608661,
        4.798568360731974,
        4.798586955855286,
        4.798605550978598,
        4.79862414610191,
        4.798642741225223,
        4.798661336348535,
        4.798679931471847,
        4.798698526595159,
        4.798717121718472,
        4.798735716841784,
        4.798754311965096,
        4.798772907088408,
        4.798791502211721,
        4.798810097335033,
        4.798828692458345,
        4.7988472875816575,
        4.79886588270497,
        4.798884477828282,
        4.798903072951594,
        4.7989216680749065,
        4.798940263198219,
        4.798958381523497,
        4.798976976646809,
        4.798995571770122,
        4.799014166893434,
        4.799032762016746,
        4.799051357140058,
        4.799069952263371,
        4.799088547386683,
        4.799107142509995,
        4.799125737633307,
        4.79914433275662,
        4.799162927879932,
        4.799181523003244,
        4.799199641328523,
        4.799218236451836,
        4.799236831575148,
        4.79925542669846,
        4.799274021821772,
        4.799292616945085,
        4.799311212068397,
        4.799329807191709,
        4.7993479255169875,
        4.7993665206403,
        4.799385115763612,
        4.799403710886924,
        4.799422306010237,
        4.799440901133549,
        4.799459496256861,
        4.799478091380173,
        4.7994962097054525,
        4.799514804828765,
        4.799533399952077,
        4.799551995075389,
        4.799570590198702,
        4.799589185322014,
        4.799607303647292,
        4.799625898770604,
        4.799644493893917,
        4.799663089017229,
        4.799681684140541,
        4.7997002792638535,
        4.799718397589132,
        4.799736992712444,
        4.799755587835757,
        4.799774182959069,
        4.799792778082382,
        4.79981089640766,
        4.799829491530972,
        4.7998480866542845,
        4.799866681777597,
        4.799885276900909,
        4.799903395226187,
        4.7999219903495,
        4.799940585472812,
        4.799959180596124,
        4.799977298921403,
        4.799995894044716,
        4.800014489168028,
        4.80003308429134,
        4.800051679414652,
        4.800069797739931,
        4.800088392863243,
        4.800106987986555,
        4.8001255831098675,
        4.800143701435146,
        4.800162296558458,
        4.80018089168177,
        4.8001990100070495,
        4.800217605130362,
        4.800236200253674,
        4.800254795376986,
        4.800272913702265,
        4.800291508825577,
        4.800310103948889,
        4.800328699072201,
        4.800346817397481,
        4.800365412520793,
        4.800384007644105,
        4.800402125969383,
        4.800420721092696,
        4.800439316216008,
        4.800457434541286,
        4.8004760296645985,
        4.800494624787911,
        4.800513219911223,
        4.800531338236502,
        4.8005499333598145,
        4.800568528483127,
        4.800586646808405,
        4.800605241931717,
        4.80062383705503,
        4.800641955380308,
        4.80066055050362,
        4.800679145626932,
        4.800697263952212,
        4.800715859075524,
        4.800734454198836,
        4.8007525725241145,
        4.800771167647427,
        4.800789285972705,
        4.800807881096017,
        4.80082647621933,
        4.800844594544609,
        4.800863189667921,
        4.800881784791233,
        4.800899903116512,
        4.800918498239824,
        4.800936616565103,
        4.800955211688415,
        4.800973806811728,
        4.800991925137006,
        4.801010520260318,
        4.8010286385855965,
        4.801047233708909,
        4.801065828832221,
        4.8010839471575,
        4.8011025422808125,
        4.801120660606091,
        4.801139255729403,
        4.801157850852715,
        4.801175969177994,
        4.801194564301306,
        4.801212682626585,
        4.801231277749897,
        4.801249396075176,
        4.801267991198488,
        4.8012865863218,
        4.8013047046470785,
        4.801323299770391,
        4.80134141809567,
        4.801360013218982,
        4.8013781315442605,
        4.801396726667573,
        4.801414844992852,
        4.801433440116164,
        4.801451558441443,
        4.801470153564755,
        4.801488271890033,
        4.801506867013345,
        4.801525462136658,
        4.801543580461937,
        4.801562175585249,
        4.801580293910527,
        4.80159888903384,
        4.801617007359118,
        4.80163560248243,
        4.8016537208077095,
        4.801672315931022,
        4.8016904342563,
        4.801709029379612,
        4.801727147704891,
        4.801745742828203,
        4.801763861153482,
        4.80178197947876,
        4.801800574602073,
        4.801855406375942,
        4.802002260170306,
        4.802057091944175,
        4.802075687067488,
        4.802093805392766,
        4.802112400516078,
        4.802130518841357,
        4.802148637166636,
        4.802167232289948,
        4.802185350615226,
        4.802203945738539,
        4.802222064063818,
        4.802240182389096,
        4.802258777512408,
        4.802276895837687,
        4.802295490960999,
        4.802313609286278,
        4.8023317276115565,
        4.802350322734869,
        4.802368441060147,
        4.802387036183459,
        4.8024051545087385,
        4.802423272834017,
        4.802441867957329,
        4.802459986282607,
        4.802478104607887,
        4.802496699731199,
        4.802514818056477,
        4.802532936381756,
        4.802569649830347,
        4.802587768155625,
        4.8026063632789375,
        4.802624481604217,
        4.802661195052807,
        4.802679313378086,
        4.802716026826677,
        4.802770858600546,
        4.802788976925825,
        4.8028070952511035,
        4.802825690374416,
        4.802843808699694,
        4.802861927024973,
        4.8028805221482855,
        4.802898640473564,
        4.802971590572712,
        4.80298970889799,
        4.8030083040213025,
        4.803026422346582,
        4.80304454067186,
        4.803062658997139,
        4.8030812541204515,
        4.80309937244573,
        4.803117490771008,
        4.8031542042196,
        4.803227154318748,
        4.803245272644026,
        4.803263390969304,
        4.803336341068452,
        4.803354459393732,
        4.803373054517044,
        4.803391172842322,
        4.8034092911676005,
        4.80342740949288,
        4.803445527818158,
        4.80346412294147,
        4.803482241266749,
        4.803500359592028,
        4.803518477917306,
        4.8035365962425844,
        4.803555191365897,
        4.803573309691176,
        4.803591428016454,
        4.803609546341733,
        4.803627664667012,
        4.80364578299229,
        4.803664378115602,
        4.8036824964408815,
        4.80370061476616,
        4.803718733091438,
        4.803736851416717,
        4.803754969741996,
        4.803773564865308,
        4.803791683190586,
        4.8038098015158655,
        4.803827919841144,
        4.803846038166422,
        4.803864156491701,
        4.80388227481698,
        4.803900869940292,
        4.80391898826557,
        4.803937106590849,
        4.803955224916128,
        4.803973343241406,
        4.803991461566685,
        4.8040095798919635,
        4.804027698217242,
        4.804046293340554,
        4.804064411665833,
        4.804082529991112,
        4.80410064831639,
        4.804118766641669,
        4.8041368849669475,
        4.804155003292227,
        4.804173121617505,
        4.804191239942783,
        4.8042093582680625,
        4.804227476593341,
        4.804246071716653,
        4.804264190041931,
        4.804282308367211,
        4.804300426692489,
        4.804318545017767,
        4.804336663343046,
        4.804354781668325,
        4.804372899993603,
        4.804391018318882,
        4.804409136644161,
        4.804427254969439,
        4.804445373294718,
        4.804463491619996,
        4.804481609945275,
        4.804499728270554,
        4.804517846595832,
        4.804535964921111,
        4.80455408324639,
        4.804572201571668,
        4.804590319896946,
        4.804608438222226,
        4.804626556547504,
        4.804644674872782,
        4.804662793198061,
        4.80468091152334,
        4.804699029848619,
        4.804717148173897,
        4.804735266499176,
        4.804753384824455,
        4.804771503149733,
        4.804789621475011,
        4.804807739800291,
        4.804825858125569,
        4.804843976450847,
        4.8048620947761265,
        4.804880213101405,
        4.804898331426683,
        4.804916449751962,
        4.804934568077241,
        4.804952686402519,
        4.804970804727798,
        4.8049889230530765,
        4.805007041378355,
        4.805025159703634,
        4.805043278028912,
        4.805061396354191,
        4.80507951467947,
        4.805097633004748,
        4.805115751330026,
        4.805133869655306,
        4.805151987980584,
        4.805170106305862,
        4.8051877478331075,
        4.805205866158386,
        4.805223984483665,
        4.805242102808943,
        4.805260221134223,
        4.805278339459501,
        4.805296457784779,
        4.805314576110058,
        4.805332694435337,
        4.805350812760615,
        4.805368931085894,
        4.805386572613139,
        4.805404690938418,
        4.805422809263696,
        4.8054409275889745,
        4.805459045914254,
        4.805567279067891,
        4.80558539739317,
        4.805603515718449,
        4.805621634043727,
        4.8056397523690055,
        4.805657393896251,
        4.805675512221529,
        4.805693630546808,
        4.805711748872087,
        4.805729867197365,
        4.805747985522644,
        4.8057656270498885,
        4.808025888128397,
        4.8105026155141815,
        4.810524071425696,
        4.810781542363865,
        4.8108029982753795,
        4.810824454186894,
        4.810845910098408,
        4.810866889211888,
        4.810888345123402,
        4.810909801034916,
        4.81093125694643,
        4.810952712857945,
        4.810974168769459,
        4.810995624680973,
        4.811017080592487,
        4.811166795175053,
        4.811188251086567,
        4.811209706998081,
        4.8112306861115615,
        4.811252142023076,
        4.81127359793459,
        4.811295053846104,
        4.811316509757618,
        4.811380400694127,
        4.811466224340184,
        4.811551571188207,
        4.811573027099721,
        4.811594006213201,
        4.811658373947743,
        4.811743720795767,
        4.811871502668785,
        4.811892958580299,
        4.8119568495168075,
        4.812957171791401,
        4.8133605429278665,
        4.8147141725453935,
        4.814735151658874,
        4.814756130772355,
        4.814777109885835,
        4.814798565797349,
        4.814819544910829,
        4.81484052402431,
        4.814861503137791,
        4.814882959049305,
        4.814903938162785,
        4.814924917276266,
        4.814945896389746,
        4.814966875503226,
        4.814988331414741,
        4.815009310528222,
        4.815030289641702,
        4.815051268755182,
        4.815072247868663,
        4.815093703780177,
        4.8151146828936575,
        4.815135662007139,
        4.815156641120619,
        4.815177620234099,
        4.81519859934758,
        4.815220055259094,
        4.8152410343725744,
        4.815262013486055,
        4.815282992599536,
        4.815303971713016,
        4.815324950826496,
        4.815345929939977,
        4.815367385851491,
        4.815388364964972,
        4.815409344078452,
        4.815430323191933,
        4.815451302305413,
        4.815472281418893,
        4.815493260532374,
        4.815514239645855,
        4.815535218759335,
        4.815556674670849,
        4.81557765378433,
        4.81559863289781,
        4.81561961201129,
        4.8156405911247715,
        4.815661570238252,
        4.815682549351733,
        4.815703528465213,
        4.815724507578693,
        4.815745486692174,
        4.8157664658056545,
        4.815787444919135,
        4.815808424032616,
        4.81582987994413,
        4.81585085905761,
        4.81587183817109,
        4.815892817284571,
        4.815913796398052,
        4.815934775511532,
        4.815955754625013,
        4.815976733738493,
        4.815997712851973,
        4.816018691965454,
        4.816039671078935,
        4.816060650192415,
        4.816081629305896,
        4.816102608419376,
        4.816123587532856,
        4.816144566646337,
        4.816165545759818,
        4.816186524873299,
        4.816207503986779,
        4.816228483100259,
        4.81624946221374,
        4.81627044132722,
        4.816291420440701,
        4.816312399554182,
        4.816333378667662,
        4.816354357781142,
        4.816375336894623,
        4.816396316008103,
        4.8164168183235505,
        4.816437797437031,
        4.816458776550511,
        4.816479755663992,
        4.816500734777472,
        4.816521713890952,
        4.8165426930044335,
        4.816563672117914,
        4.816584651231394,
        4.816605630344875,
        4.816626609458355,
        4.816647588571835,
        4.8166685676853165,
        4.816689070000763,
        4.816710049114244,
        4.816731028227724,
        4.816752007341205,
        4.816772986454685,
        4.8167939655681655,
        4.816814944681647,
        4.816835923795127,
        4.816856902908607,
        4.816877405224054,
        4.816898384337534,
        4.8169193634510155,
        4.816940342564496,
        4.816961321677976,
        4.816982300791457,
        4.817003279904937,
        4.817023782220384,
        4.8170447613338645,
        4.817065740447345,
        4.817086719560826,
        4.817107698674306,
        4.817128677787786,
        4.817149180103233,
        4.8171701592167135,
        4.817191138330195,
        4.817212117443675,
        4.817233096557155,
        4.817253598872602,
        4.817274577986083,
        4.8172955570995635,
        4.817316536213044,
        4.817337515326525,
        4.817358017641971,
        4.817378996755452,
        4.817399975868932,
        4.8174209549824125,
        4.817441934095894,
        4.81746243641134,
        4.817483415524821,
        4.817504394638301,
        4.817525373751781,
        4.8175458760672285,
        4.817566855180709,
        4.81758783429419,
        4.81760881340767,
        4.817629315723117,
        4.817650294836597,
        4.8176712739500775,
        4.817692253063559,
        4.817712755379005,
        4.817733734492486,
        4.817754713605966,
        4.817775215921413,
        4.8177961950348935,
        4.817817174148375,
        4.817838153261855,
        4.817858655577302,
        4.817879634690782,
        4.817900613804262,
        4.8179211161197095,
        4.81794209523319,
        4.817963074346671,
        4.817983576662117,
        4.818004555775598,
        4.818025534889078,
        4.8180460372045255,
        4.818067016318006,
        4.818087995431486,
        4.818108497746933,
        4.818129476860413,
        4.818150455973894,
        4.818170958289341,
        4.818191937402822,
        4.818212916516302,
        4.818233418831749,
        4.818254397945229,
        4.818274900260676,
        4.818295879374157,
        4.818316858487637,
        4.818337360803084,
        4.818358339916565,
        4.818379319030045,
        4.818399821345492,
        4.818420800458973,
        4.81844130277442,
        4.8184622818879,
        4.81848326100138,
        4.818503763316827,
        4.8185247424303075,
        4.818545244745755,
        4.818566223859235,
        4.818586726174682,
        4.818607705288162,
        4.818628684401643,
        4.8186491867170895,
        4.818670165830571,
        4.818690668146017,
        4.818711647259498,
        4.818732149574944,
        4.818753128688425,
        4.818773631003872,
        4.818794610117353,
        4.818815589230833,
        4.81883609154628,
        4.81885707065976,
        4.818877572975207,
        4.818898552088688,
        4.818919054404135,
        4.818940033517615,
        4.818960535833062,
        4.818981514946542,
        4.819002017261989,
        4.81902299637547,
        4.819043498690917,
        4.819064477804397,
        4.819084980119844,
        4.819105959233324,
        4.8191264615487714,
        4.819147440662252,
        4.819167942977699,
        4.819188922091179,
        4.819209424406626,
        4.819229926722073,
        4.8192509058355535,
        4.819271408151001,
        4.819292387264481,
        4.819312889579928,
        4.819333868693408,
        4.819354371008855,
        4.8193753501223355,
        4.819395852437783,
        4.819416354753229,
        4.81943733386671,
        4.819457836182157,
        4.819478815295637,
        4.8194993176110845,
        4.819520296724565,
        4.819540799040012,
        4.819561301355458,
        4.819582280468939,
        4.8196027827843855,
        4.819623761897867,
        4.819644264213313,
        4.81966476652876,
        4.81968574564224,
        4.819706247957687,
        4.8197267502731345,
        4.819747729386615,
        4.819768231702062,
        4.819789210815542,
        4.819809713130989,
        4.819830215446435,
        4.8198511945599165,
        4.819871696875363,
        4.81989219919081,
        4.81991317830429,
        4.819933680619737,
        4.819954182935184,
        4.819975162048665,
        4.819995664364112,
        4.820016166679559,
        4.820037145793039,
        4.820057648108486,
        4.8200781504239325,
        4.820099129537414,
        4.82011963185286,
        4.820140134168307,
        4.820161113281787,
        4.820181615597234,
        4.8202021179126815,
        4.820222620228128,
        4.820243599341609,
        4.820264101657055,
        4.820284603972502,
        4.8203055830859824,
        4.82032608540143,
        4.820346587716877,
        4.820367090032323,
        4.82040857146125,
        4.8204290737766975,
        4.820573543580893,
        4.820841504075803,
        4.82086200639125,
        4.820944015653037,
        4.820964994766518,
        4.820985497081964,
        4.8210059993974115,
        4.821026501712859,
        4.821047004028305,
        4.821067506343752,
        4.821088008659199,
        4.821108987772679,
        4.8211294900881265,
        4.821149992403574,
        4.82117049471902,
        4.821190997034467,
        4.821211499349914,
        4.8212320016653605,
        4.821252503980808,
        4.821273483094288,
        4.821293985409735,
        4.821314487725182,
        4.821334990040628,
        4.8213554923560755,
        4.821375994671523,
        4.821396496986969,
        4.821416999302416,
        4.821437501617863,
        4.8214580039333095,
        4.821478983046791,
        4.821499485362237,
        4.821519987677684,
        4.821540489993131,
        4.821560992308577,
        4.8215814946240245,
        4.821601996939472,
        4.821622499254918,
        4.821643001570365,
        4.821663503885812,
        4.821684006201259,
        4.821704508516706,
        4.821725010832153,
        4.821827522409387,
        4.821848024724834,
        4.821868527040281,
        4.821889029355727,
        4.821909531671174,
        4.821930033986622,
        4.821950536302068,
        4.821971038617515,
        4.821991540932962,
        4.822012043248408,
        4.8220325455638555,
        4.822053047879303,
        4.822073550194749,
        4.822094052510196,
        4.822114554825643,
        4.8221350571410895,
        4.822155559456537,
        4.822176061771984,
        4.822196564087431,
        4.822217066402877,
        4.822237568718324,
        4.8222580710337715,
        4.822278573349218,
        4.822299075664665,
        4.822319577980112,
        4.822339603497525,
        4.8223601058129715,
        4.822380608128419,
        4.822401110443866,
        4.822421612759312,
        4.822442115074759,
        4.822462617390206,
        4.822483119705653,
        4.8225036220211,
        4.822524124336547,
        4.822544626651993,
        4.822564652169406,
        4.8225851544848535,
        4.822605656800301,
        4.822626159115747,
        4.822646661431194,
        4.822667163746641,
        4.822687666062087,
        4.822708168377535,
        4.822728193894948,
        4.822748696210395,
        4.822769198525842,
        4.822789700841288,
        4.8228102031567355,
        4.822830705472183,
        4.822850730989596,
        4.822871233305042,
        4.822891735620489,
        4.82295324256683,
        4.823014272715136,
        4.8230347750305835,
        4.823055277346031,
        4.823075302863444,
        4.82309580517889,
        4.823116307494337,
        4.823136809809784,
        4.823157312125231,
        4.823177337642644,
        4.823197839958091,
        4.823218342273538,
        4.823238844588984,
        4.823259346904432,
        4.823279372421845,
        4.823299874737292,
        4.823320377052739,
        4.823340879368185,
        4.8233609048855985,
        4.823381407201046,
        4.823401909516493,
        4.823422411831939,
        4.823442437349352,
        4.823462939664799,
        4.823483441980247,
        4.82350346749766,
        4.823523969813106,
        4.823544472128553,
        4.823564974444,
        4.8235849999614135,
        4.82360550227686,
        4.823626004592307,
        4.82364603010972,
        4.823666532425167,
        4.8236870347406136,
        4.823707537056061,
        4.823727562573474,
        4.823748064888921,
        4.823768567204367,
        4.8237885927217805,
        4.823809095037228,
        4.823829597352675,
        4.823849622870088,
        4.823870125185535,
        4.823890627500981,
        4.823910653018395,
        4.823931155333842,
        4.823951657649289,
        4.823971683166702,
        4.823992185482148,
        4.824012210999562,
        4.824032713315009,
        4.824053215630456,
        4.824073241147869,
        4.824093743463315,
        4.8241142457787625,
        4.824134271296176,
        4.824154773611623,
        4.824174799129036,
        4.824195301444482,
        4.824215803759929,
        4.824235829277343,
        4.82425633159279,
        4.824276357110203,
        4.824296859425649,
        4.824317361741096,
        4.82433738725851,
        4.824357889573957,
        4.82437791509137,
        4.824398417406817,
        4.824418919722263,
        4.8244389452396765,
        4.824459447555124,
        4.824479473072537,
        4.824499975387984,
        4.824520000905397,
        4.8245405032208435,
        4.824560528738257,
        4.824601533369151,
        4.824621558886564,
        4.8246420612020104,
        4.824662086719424,
        4.824682589034871,
        4.824702614552284,
        4.824723116867731,
        4.824743142385144,
        4.824763644700591,
        4.824783670218004,
        4.824804172533451,
        4.824824198050864,
        4.824844700366311,
        4.8248647258837245,
        4.824885228199171,
        4.824905253716584,
        4.824925756032031,
        4.824945781549444,
        4.8249662838648915,
        4.824986309382305,
        4.825006811697752,
        4.825026837215165,
        4.825046862732578,
        4.8250673650480245,
        4.825087390565438,
        4.825107892880885,
        4.825127918398298,
        4.825148420713745,
        4.825168446231158,
        4.825188948546605,
        4.825208974064018,
        4.825228999581431,
        4.825249501896878,
        4.825269527414291,
        4.8252900297297385,
        4.825310055247152,
        4.825330557562598,
        4.8253911109128715,
        4.825431638745732,
        4.825492192096005,
        4.825572770963691,
        4.8255932732791385,
        4.825613298796552,
        4.825633324313965,
        4.825653826629412,
        4.825673852146825,
        4.825693877664238,
        4.825714379979685,
        4.825734405497098,
        4.825754431014511,
        4.825774933329958,
        4.825794958847371,
        4.825814984364785,
        4.825835486680232,
        4.825855512197645,
        4.825875537715058,
        4.825896040030504,
        4.825916065547918,
        4.825936091065331,
        4.825956593380778,
        4.825976618898191,
        4.825996644415604,
        4.8260171467310515,
        4.826037172248465,
        4.826057197765878,
        4.826077223283291,
        4.826097725598738,
        4.8261177511161515,
        4.826137776633565,
        4.826158278949011,
        4.826178304466424,
        4.826198329983837,
        4.826218355501251,
        4.826238857816698,
        4.826258883334111,
        4.826278908851524,
        4.826298934368937,
        4.8263194366843845,
        4.826339462201798,
        4.826359487719211,
        4.826379513236624,
        4.82640001555207,
        4.8264200410694835,
        4.826440066586897,
        4.82646009210431,
        4.826480117621723,
        4.82650061993717,
        4.8265206454545835,
        4.826540670971997,
        4.82656069648941,
        4.826580722006823,
        4.82660122432227,
        4.826621249839683,
        4.826641275357097,
        4.82666130087451,
        4.826681326391923,
        4.82670182870737,
        4.826721854224783,
        4.826741879742197,
        4.82676190525961,
        4.826781930777023,
        4.826801956294436,
        4.8268224586098825,
        4.826842484127296,
        4.826862509644709,
        4.826882535162122,
        4.826902560679535,
        4.8269225861969485,
        4.826942611714362,
        4.826963114029809,
        4.826983139547222,
        4.827003165064635,
        4.827023190582048,
        4.827043216099462,
        4.827063241616875,
        4.827083267134288,
        4.827103292651701,
        4.827123794967148,
        4.827143820484562,
        4.827163846001975,
        4.827183871519388,
        4.827203897036801,
        4.827223922554214,
        4.827243948071628,
        4.827263973589041,
        4.827283999106454,
        4.827304024623867,
        4.82732405014128,
        4.827344075658694,
        4.827364577974141,
        4.827384603491554,
        4.827404629008967,
        4.82742465452638,
        4.827444680043794,
        4.827464705561207,
        4.82748473107862,
        4.827504756596033,
        4.827524782113446,
        4.82754480763086,
        4.827564833148273,
        4.827584858665686,
        4.827604884183099,
        4.827624909700512,
        4.827644935217926,
        4.827664960735339,
        4.827684986252752,
        4.827705011770165,
        4.827725037287578,
        4.827745062804992,
        4.827765088322405,
        4.827785113839818,
        4.827805139357231,
        4.827825164874644,
        4.827845190392058,
        4.827865215909471,
        4.827885241426884,
        4.827905266944297,
        4.82792529246171,
        4.827945317979124,
        4.827965343496537,
        4.82798536901395,
        4.828005394531363,
        4.828025420048776,
        4.82804544556619,
        4.828065471083603,
        4.828085496601016,
        4.828105522118429,
        4.8281255476358425,
        4.828145096355222,
        4.828165121872635,
        4.828185147390048,
        4.828205172907461,
        4.828225198424875,
        4.828245223942289,
        4.828265249459702,
        4.828285274977115,
        4.828305300494528,
        4.828325326011941,
        4.828345351529355,
        4.828364900248734,
        4.828384925766147,
        4.82840495128356,
        4.8284249768009735,
        4.828445002318387,
        4.8284650278358,
        4.828485053353213,
        4.828505078870626,
        4.8285251043880395,
        4.828544653107419,
        4.828564678624832,
        4.828584704142245,
        4.828604729659658,
        4.828624755177072,
        4.828644780694485,
        4.828664329413865,
        4.828684354931278,
        4.828704380448691,
        4.8287244059661045,
        4.828744431483518,
        4.828764457000931,
        4.82878400572031,
        4.828804031237723,
        4.828824056755137,
        4.82884408227255,
        4.828864107789963,
        4.828884133307376,
        4.828903682026756,
        4.8289237075441696,
        4.828943733061583,
        4.828963758578996,
        4.828983784096409,
        4.8291029836048205,
        4.829123009122234,
        4.82918260887644,
        4.829222659911267,
        4.829282259665472,
        4.8293022851828855,
        4.829321833902266,
        4.829341859419679,
        4.829361884937092,
        4.829381910454505,
        4.8294014591738845,
        4.829421484691298,
        4.829441510208711,
        4.82946105892809,
        4.829481084445503,
        4.829501109962917,
        4.82952113548033,
        4.82954068419971,
        4.829560709717123,
        4.829580735234536,
        4.829600283953916,
        4.829620309471329,
        4.829640334988742,
        4.829659883708121,
        4.8296799092255345,
        4.829699934742948,
        4.829719483462328,
        4.829739508979741,
        4.829759534497154,
        4.8297790832165335,
        4.829799108733947,
        4.82981913425136,
        4.829838682970739,
        4.829858708488153,
        4.829878734005566,
        4.829898282724946,
        4.829918308242359,
        4.829937856961738,
        4.829957882479151,
        4.829977907996565,
        4.829997456715945,
        4.830017482233358,
        4.830037507750771,
        4.83005705647015,
        4.830077081987564,
        4.830096630706943,
        4.830116656224356,
        4.830136681741769,
        4.830156230461149,
        4.830176255978563,
        4.830195804697942,
        4.830215830215355,
        4.830235378934734,
        4.8302554044521475,
        4.830275429969561,
        4.830294978688941,
        4.830315004206354,
        4.830334552925733,
        4.8303545784431465,
        4.830374127162526,
        4.830394152679939,
        4.830413701399319,
        4.830433726916732,
        4.8304537524341455,
        4.830473301153525,
        4.830493326670938,
        4.830512875390318,
        4.830532900907731,
        4.830552449627111,
        4.830572475144524,
        4.830592023863903,
        4.830612049381316,
        4.830631598100696,
        4.83065162361811,
        4.830671172337489,
        4.830691197854902,
        4.830710746574281,
        4.8307307720916945,
        4.830750320811075,
        4.830770346328488,
        4.830789895047867,
        4.83080992056528,
        4.83082946928466,
        4.830849494802073,
        4.830869043521453,
        4.830889069038866,
        4.830908617758245,
        4.830928166477625,
        4.830948191995039,
        4.830967740714418,
        4.830987766231831,
        4.8310073149512105,
        4.831027340468624,
        4.831046889188004,
        4.831066914705417,
        4.831086463424796,
        4.831106012144176,
        4.831126037661589,
        4.831145586380969,
        4.831165611898382,
        4.831185160617761,
        4.831205186135175,
        4.831224734854554,
        4.831244283573934,
        4.831264309091347,
        4.8312838578107264,
        4.83130388332814,
        4.831323432047519,
        4.831342980766899,
        4.831363006284312,
        4.8313825550036915,
        4.831402103723071,
        4.831422129240484,
        4.831441677959864,
        4.831461703477277,
        4.831481252196657,
        4.831500800916037,
        4.83152082643345,
        4.831540375152829,
        4.8315599238722085,
        4.831579949389622,
        4.831599498109002,
        4.831619046828381,
        4.831639072345794,
        4.8316586210651735,
        4.831678169784554,
        4.831698195301967,
        4.831717744021346,
        4.831737292740725,
        4.831757318258139,
        4.831776866977519,
        4.831796415696898,
        4.831816441214311,
        4.8318359899336905,
        4.831855538653071,
        4.831875564170484,
        4.831895112889863,
        4.831914661609242,
        4.8319342103286225,
        4.831954235846036,
        4.831973784565415,
        4.831993333284794,
        4.832013358802207,
        4.8320329075215875,
        4.832052456240967,
        4.832072004960347,
        4.83209203047776,
        4.832111579197139,
        4.832131127916519,
        4.832150676635899,
        4.832170702153312,
        4.832190250872691,
        4.8322097995920705,
        4.832229348311451,
        4.832249373828864,
        4.832268922548243,
        4.832288471267622,
        4.8323080199870025,
        4.832328045504416,
        4.832347594223795,
        4.832367142943174,
        4.832386691662554,
        4.832406240381934,
        4.832426265899347,
        4.832445814618726,
        4.832465363338106,
        4.8324849120574855,
        4.832504460776865,
        4.832524486294278,
        4.832544035013658,
        4.832563583733037,
        4.8325831324524176,
        4.8328382194004185,
        4.832857768119799,
        4.832877316839178,
        4.832896865558557,
        4.83291689107597,
        4.8329364397953505,
        4.83295598851473,
        4.832975537234109,
        4.832995085953489,
        4.833014634672868,
        4.833034183392248,
        4.833053732111628,
        4.833073280831007,
        4.83309330634842,
        4.8331128550677995,
        4.83313240378718,
        4.833151952506559,
        4.833171501225939,
        4.833191049945318,
        4.833210598664698,
        4.833230147384078,
        4.833249696103457,
        4.833269244822836,
        4.833288793542216,
        4.833308342261596,
        4.833327890980975,
        4.833347439700355,
        4.833367465217768,
        4.8333870139371475,
        4.833406562656527,
        4.833426111375907,
        4.833445660095286,
        4.8334652088146655,
        4.833484757534046,
        4.833504306253425,
        4.833523854972804,
        4.833543403692184,
        4.8335629524115635,
        4.833582501130943,
        4.833602049850323,
        4.833621598569702,
        4.8336411472890815,
        4.833660696008462,
        4.833680244727841,
        4.833699793447221,
        4.8337193421666,
        4.8337388908859795,
        4.83375843960536,
        4.833777988324739,
        4.833797537044118,
        4.833817085763498,
        4.833836634482878,
        4.833856183202257,
        4.833875731921637,
        4.833894803842982,
        4.8339143525623625,
        4.833933901281742,
        4.833953450001121,
        4.833972998720501,
        4.83399254743988,
        4.83401209615926,
        4.83403164487864,
        4.834051193598019,
        4.834070742317398,
        4.8340902910367785,
        4.834109839756158,
        4.834129388475537,
        4.834148937194917,
        4.834168485914296,
        4.834187557835643,
        4.834207106555022,
        4.834226655274402,
        4.834246203993781,
        4.8342657527131605,
        4.834285301432541,
        4.83430485015192,
        4.834324398871299,
        4.834343947590679,
        4.834363019512025,
        4.834382568231405,
        4.834402116950784,
        4.834421665670163,
        4.834441214389543,
        4.834460763108923,
        4.834480311828302,
        4.834499860547682,
        4.834518932469027,
        4.834538481188408,
        4.834558029907787,
        4.834577578627166,
        4.834597127346546,
        4.8346166760659255,
        4.834635747987272,
        4.834655296706651,
        4.83467484542603,
        4.83469439414541,
        4.83471394286479,
        4.834733491584169,
        4.834752563505515,
        4.834772112224895,
        4.8347916609442745,
        4.834811209663654,
        4.834830758383034,
        4.834849830304379,
        4.834869379023759,
        4.834888927743139,
        4.834908476462518,
        4.834927548383864,
        4.834947097103243,
        4.8349666458226235,
        4.834986194542003,
        4.835005743261382,
        4.835024815182728,
        4.8350443639021075,
        4.835063912621488,
        4.835083461340867,
        4.835102533262213,
        4.835122081981592,
        4.835141630700972,
        4.835161179420352,
        4.835180251341697,
        4.835199800061077,
        4.8352193487804564,
        4.835238897499836,
        4.835257969421182,
        4.835277518140561,
        4.835297066859941,
        4.835316138781287,
        4.835335687500667,
        4.835355236220046,
        4.835374784939426,
        4.8353938568607715,
        4.835413405580152,
        4.835432954299531,
        4.835452026220877,
        4.835471574940256,
        4.835491123659636,
        4.835510195580982,
        4.835529744300361,
        4.835549293019741,
        4.8355683649410865,
        4.835587913660467,
        4.835607462379846,
        4.835626534301192,
        4.835646083020571,
        4.835665631739951,
        4.835684703661297,
        4.835704252380676,
        4.835723801100056,
        4.835742873021402,
        4.835762421740782,
        4.835781970460161,
        4.835801042381507,
        4.8358205911008865,
        4.835840139820266,
        4.835859211741612,
        4.835878760460992,
        4.835897832382337,
        4.8359173811017175,
        4.835936929821097,
        4.835956001742443,
        4.835975550461822,
        4.8359950991812015,
        4.836014171102548,
        4.836033719821927,
        4.836052791743273,
        4.836072340462652,
        4.836091412383999,
        4.836110961103378,
        4.836130509822758,
        4.836149581744103,
        4.83638178238649,
        4.8364976443086665,
        4.836517193028047,
        4.836536264949392,
        4.836555813668772,
        4.836574885590117,
        4.8365944343094975,
        4.836613506230843,
        4.836633054950223,
        4.836652126871568,
        4.8366716755909485,
        4.836690747512294,
        4.836710296231674,
        4.836729368153019,
        4.836748440074365,
        4.836767988793745,
        4.836787060715091,
        4.83680660943447,
        4.836825681355816,
        4.836845230075196,
        4.836864301996542,
        4.836883850715921,
        4.836902922637267,
        4.8369224713566465,
        4.836941543277993,
        4.836961091997373,
        4.836980163918718,
        4.836999235840064,
        4.837018784559444,
        4.83703785648079,
        4.837057405200169,
        4.837076477121515,
        4.837096025840895,
        4.837115097762241,
        4.837134169683587,
        4.837153718402966,
        4.8371727903243125,
        4.837192339043692,
        4.837211410965038,
        4.837230482886383,
        4.837250031605763,
        4.837269103527109,
        4.837288652246489,
        4.837307724167834,
        4.83732679608918,
        4.83734634480856,
        4.837365416729906,
        4.837384488651252,
        4.837404037370631,
        4.8374231092919775,
        4.837442181213323,
        4.837461729932703,
        4.837480801854048,
        4.837500350573428,
        4.837519422494775,
        4.83753849441612,
        4.8375580431355,
        4.837577115056845,
        4.837596186978192,
        4.837615735697571,
        4.837634807618917,
        4.837653879540263,
        4.8376734282596425,
        4.837692500180989,
        4.837711572102334,
        4.83773064402368,
        4.8377501927430595,
        4.837769264664406,
        4.837788336585752,
        4.837807885305131,
        4.837826957226477,
        4.837846029147823,
        4.837865577867203,
        4.837884649788548,
        4.837903721709894,
        4.837922793631241,
        4.83794234235062,
        4.837961414271966,
        4.837980486193311,
        4.8380000349126915,
        4.838019106834037,
        4.838038178755383,
        4.838057250676729,
        4.8380767993961085,
        4.838095871317455,
        4.838114943238801,
        4.838134015160146,
        4.838153563879526,
        4.838172635800872,
        4.838191707722218,
        4.838210779643564,
        4.838229851564909,
        4.8382494002842895,
        4.838268472205635,
        4.838287544126981,
        4.838306616048327,
        4.8383261647677065,
        4.838345236689053,
        4.838364308610398,
        4.838383380531744,
        4.83840245245309,
        4.83842200117247,
        4.838441073093816,
        4.838460145015161,
        4.838479216936507,
        4.838498288857854,
        4.838517360779199,
        4.838536909498579,
        4.838555981419924,
        4.838575053341271,
        4.838594125262617,
        4.838613197183963,
        4.838632745903342,
        4.8386518178246885,
        4.838670889746034,
        4.83868996166738,
        4.838709033588726,
        4.8387281055100715,
        4.838747177431418,
        4.838766726150797,
        4.838785798072143,
        4.838804869993489,
        4.838823941914835,
        4.838843013836181,
        4.838862085757527,
        4.838881157678872,
        4.838900229600219,
        4.838919778319598,
        4.838938850240944,
        4.83895792216229,
        4.838976994083636,
        4.838996066004982,
        4.839015137926328,
        4.839034209847673,
        4.8390532817690195,
        4.839072353690366,
        4.839091425611711,
        4.839110497533057,
        4.8391300462524365,
        4.839149118173783,
        4.839168190095129,
        4.839187262016475,
        4.83920633393782,
        4.839225405859167,
        4.839244477780513,
        4.839263549701858,
        4.839282621623204,
        4.8393016935445505,
        4.839320765465896,
        4.839339837387242,
        4.839358909308588,
        4.839377981229934,
        4.83939705315128,
        4.839416125072626,
        4.839435196993971,
        4.8394542689153175,
        4.839473340836664,
        4.839492412758009,
        4.839511484679355,
        4.839530556600701,
        4.839549628522047,
        4.839568700443393,
        4.839587772364739,
        4.8396068442860845,
        4.839625916207431,
        4.839644988128777,
        4.839664060050122,
        4.839683131971468,
        4.839702203892815,
        4.839740347735506,
        4.839759419656852,
        4.840349695622509,
        4.84046365035255,
        4.840482722273896,
        4.840577605082592,
        4.840596677003938,
        4.840634820846629,
        4.840729703655326,
        4.840767370699984,
        4.840786442621329,
        4.840805514542676,
        4.840824586464022,
        4.840843658385368,
        4.84086225350868,
        4.840881325430026,
        4.840900397351372,
        4.840919469272718,
        4.84093806439603,
        4.840995280160068,
        4.841014352081413,
        4.8410329472047255,
        4.841052019126072,
        4.841071091047418,
        4.841090162968763,
        4.8411087580920755,
        4.841127830013422,
        4.841146901934768,
        4.841165973856113,
        4.8411845689794255,
        4.841203640900772,
        4.841222712822118,
        4.84124130794543,
        4.8412603798667755,
        4.841279451788122,
        4.841298523709468,
        4.84131711883278,
        4.8413361907541255,
        4.841355262675472,
        4.841373857798784,
        4.84139292972013,
        4.841412001641476,
        4.841431073562822,
        4.841449668686134,
        4.84146874060748,
        4.841487812528826,
        4.841506407652139,
        4.841525479573484,
        4.84154455149483,
        4.841563146618142,
        4.841582218539489,
        4.841601290460834,
        4.841619885584146,
        4.841638957505492,
        4.8416580294268385,
        4.841676624550151,
        4.841695696471496,
        4.841714768392842,
        4.841733363516155,
        4.841752435437501,
        4.841771030560813,
        4.841790102482158,
        4.841846841448163,
        4.841865913369508,
        4.8418845084928215,
        4.841903580414167,
        4.841922175537479,
        4.841941247458825,
        4.8419603193801715,
        4.841997986424829,
        4.842017058346175,
        4.842092392435491,
        4.842243060614124,
        4.842996401507288,
        4.843015473428634,
        4.843053140473292,
        4.843071735596604,
        4.8430903307199165,
        4.843109402641263,
        4.843165664809233,
        4.843184259932546,
        4.843203331853891,
        4.843259594021862,
        4.84335352323449,
        4.843372118357802,
        4.843391190279148,
        4.843409785402461,
        4.843428380525773,
        4.843747358410283,
        4.8437659535335955,
        4.843803620578254,
        4.843822215701566,
        4.843841287622912,
        4.843859882746225,
        4.843878477869537,
        4.843934740037507,
        4.843953335160819,
        4.843972407082165,
        4.8439910022054775,
        4.84400959732879,
        4.844028192452102,
        4.844047264373448,
        4.8440658594967605,
        4.844084454620073,
        4.844103049743385,
        4.844122121664731,
        4.8441407167880435,
        4.844159311911356,
        4.844177907034668,
        4.844196978956013,
        4.844234169202638,
        4.84425276432595,
        4.844271836247296,
        4.8442904313706086,
        4.844309026493921,
        4.844327621617233,
        4.844346216740545,
        4.8443652886618915,
        4.844383883785204,
        4.844402478908516,
        4.844421074031828,
        4.844439669155141,
        4.844458741076486,
        4.844477336199798,
        4.84449593132311,
        4.844514526446423,
        4.844533121569735,
        4.844552193491081,
        4.844570788614393,
        4.844589383737706,
        4.844607978861018,
        4.84462657398433,
        4.844645169107642,
        4.844664241028989,
        4.844682836152301,
        4.844701431275613,
        4.844720026398925,
        4.844738621522238,
        4.84475721664555,
        4.844775811768862,
        4.844794883690208,
        4.844813478813521,
        4.844832073936833,
        4.844850669060145,
        4.844869264183457,
        4.84488785930677,
        4.844906454430082,
        4.844925049553394,
        4.8449441214747395,
        4.844962716598052,
        4.844981311721364,
        4.844999906844676,
        4.8450185019679886,
        4.845037097091301,
        4.845055692214613,
        4.845074287337925,
        4.845092882461238,
        4.84511147758455,
        4.845130549505896,
        4.845149144629208,
        4.845167739752521,
        4.845186334875833,
        4.845204929999145,
        4.845223525122457,
        4.84524212024577,
        4.845260715369082,
        4.845279310492394,
        4.845297905615706,
        4.845316500739019,
        4.845335095862331,
        4.845353690985643,
        4.845372286108955,
        4.845390881232268,
        4.84540947635558,
        4.845428071478892,
        4.8454466666022045,
        4.845465261725517,
        4.845483856848829,
        4.845502928770175,
        4.8455215238934874,
        4.8455401190168,
        4.845558714140112,
        4.845577309263424,
        4.8455959043867365,
        4.845614499510049,
        4.845633094633361,
        4.845651689756673,
        4.8456702848799855,
        4.845688880003298,
        4.84570747512661,
        4.845726070249922,
        4.845744665373235,
        4.845762783698514,
        4.845781378821826,
        4.845799973945138,
        4.8458185690684505,
        4.845837164191763,
        4.845855759315075,
        4.845874354438387,
        4.8458929495617,
        4.845911544685012,
        4.845930139808324,
        4.845948734931636,
        4.845967330054949,
        4.845985925178261,
        4.846004520301573,
        4.846023115424885,
        4.846041710548198,
        4.84606030567151,
        4.846078900794822,
        4.846097495918134,
        4.846116091041447,
        4.846134209366725,
        4.846152804490037,
        4.8461713996133495,
        4.846189994736662,
        4.846208589859974,
        4.846227184983286,
        4.846245780106599,
        4.846264375229911,
        4.846282970353223,
        4.846301565476535,
        4.8463196838018145,
        4.846338278925127,
        4.846356874048439,
        4.846375469171751,
        4.846394064295064,
        4.846412659418376,
        4.846431254541688,
        4.846449849665,
        4.846467967990279,
        4.846486563113591,
        4.846505158236903,
        4.8465237533602155,
        4.846542348483528,
        4.84656094360684,
        4.846579538730152,
        4.8465976570554306,
        4.846616252178743,
        4.846634847302055,
        4.846653442425367,
        4.84667203754868,
        4.846690632671992,
        4.846708750997271,
        4.846727346120583,
        4.846745941243896,
        4.846764536367208,
        4.84678313149052,
        4.846801249815798,
        4.846819844939111,
        4.846838440062423,
        4.846857035185735,
        4.8468756303090474,
        4.846893748634327,
        4.846912343757639,
        4.846930938880951,
        4.846949534004263,
        4.846968129127576,
        4.847355765928931,
        4.847392956175556,
        4.847411074500834,
        4.84748497819605,
        4.847503573319362,
        4.847522168442675,
        4.847540286767953,
        4.847558881891265,
        4.847577477014577,
        4.847595595339856,
        4.847614190463168,
        4.84763278558648,
        4.8476509039117595,
        4.847669499035072,
        4.847688094158384,
        4.847706212483662,
        4.8477248076069746,
        4.847743402730287,
        4.847761521055565,
        4.847780116178877,
        4.84779871130219,
        4.847816829627469,
        4.847835424750781,
        4.847853543076059,
        4.847872138199372,
        4.847890733322684,
        4.847908851647963,
        4.847927446771275,
        4.847946041894588,
        4.847964160219866,
        4.847982755343178,
        4.848000873668457,
        4.848019468791769,
        4.848038063915081,
        4.84805618224036,
        4.8480747773636725,
        4.848092895688951,
        4.848111490812263,
        4.848130085935575,
        4.848148204260854,
        4.848166799384166,
        4.848184917709445,
        4.848203512832757,
        4.84822210795607,
        4.848240226281348,
        4.84825882140466,
        4.848276939729939,
        4.848295534853251,
        4.84831365317853,
        4.848332248301842,
        4.8483508434251545,
        4.848368961750433,
        4.848387556873745,
        4.848405675199023,
        4.848424270322336,
        4.848442388647615,
        4.848460983770927,
        4.8484791020962055,
        4.848497697219518,
        4.848515815544797,
        4.848534410668109,
        4.8485525289933875,
        4.8485711241167,
        4.848589242441978,
        4.84860783756529,
        4.8486259558905695,
        4.848644551013882,
        4.84866266933916,
        4.848681264462472,
        4.848699382787751,
        4.848717977911063,
        4.848736096236342,
        4.848754691359654,
        4.848772809684933,
        4.848791404808245,
        4.848809523133523,
        4.848828118256836,
        4.848846236582115,
        4.848864831705427,
        4.848882950030705,
        4.848901545154018,
        4.848919663479296,
        4.848938258602608,
        4.848956376927887,
        4.8489749720512,
        4.848993090376478,
        4.849011208701757,
        4.849029803825069,
        4.849047922150348,
        4.84906651727366,
        4.849084635598938,
        4.849103230722251,
        4.84912134904753,
        4.849139944170842,
        4.84915806249612,
        4.849176180821399,
        4.849194775944711,
        4.84921289426999,
        4.849231489393302,
        4.849249607718581,
        4.849267726043859,
        4.849286321167171,
        4.8493044394924505,
        4.849323034615763,
        4.849341152941041,
        4.849359271266319,
        4.849377866389632,
        4.849395984714911,
        4.849414579838223,
        4.849432698163501,
        4.84945081648878,
        4.849469411612092,
        4.849487529937371,
        4.8495056482626495,
        4.849524243385962,
        4.84954236171124,
        4.849560956834553,
        4.8495790751598316,
        4.84959719348511,
        4.849615788608422,
        4.849633906933701,
        4.84965202525898,
        4.849670620382292,
        4.84968873870757,
        4.849706857032849,
        4.849725452156162,
        4.84974357048144,
        4.849761688806718,
        4.849780283930031,
        4.84979840225531,
        4.849816520580588,
        4.8498351157039,
        4.849853234029179,
        4.849871352354458,
        4.849889470679736,
        4.8499080658030485,
        4.849926184128327,
        4.849944302453606,
        4.849962897576918,
        4.8499810159021965,
        4.849999134227475,
        4.850017252552754,
        4.850035847676066,
        4.850053966001345,
        4.850072084326623,
        4.850090679449935,
        4.850108797775214,
        4.850126916100493,
        4.850145034425772,
        4.850163629549084,
        4.8501817478743625,
        4.850199866199641,
        4.85021798452492,
        4.850236579648232,
        4.850254697973511,
        4.850272816298789,
        4.850290934624068,
        4.85030952974738,
        4.850327648072659,
        4.850345766397937,
        4.850363884723216,
        4.8503824798465285,
        4.850400598171807,
        4.850418716497085,
        4.850436834822364,
        4.850454953147643,
        4.850473548270955,
        4.852975069154489,
        4.855732153784058,
        4.855753609695572,
        4.855775065607086,
        4.8557969983166345,
        4.855818454228149,
        4.855840386937696,
        4.85586184284921,
        4.855883298760724,
        4.855905231470272,
        4.855926687381786,
        4.8559481432933005,
        4.855970076002849,
        4.855991531914363,
        4.85601346462391,
        4.856034920535424,
        4.856056376446938,
        4.856078309156486,
        4.8560997650680005,
        4.856121220979515,
        4.856143153689063,
        4.856164609600577,
        4.856186065512091,
        4.856207998221639,
        4.856229454133153,
        4.856250910044667,
        4.856272842754215,
        4.856294298665729,
        4.856315754577243,
        4.856337210488757,
        4.856359143198305,
        4.856380599109819,
        4.856402055021333,
        4.8564239877308815,
        4.856445443642396,
        4.85646689955391,
        4.856488832263457,
        4.856510288174971,
        4.856531744086485,
        4.856553199997999,
        4.8565751327075475,
        4.856596588619062,
        4.856618044530576,
        4.85663950044209,
        4.856661433151638,
        4.856682889063152,
        4.856704344974666,
        4.8567258008861804,
        4.8567477335957285,
        4.856769189507243,
        4.856790645418757,
        4.856812101330271,
        4.856833557241785,
        4.856855489951332,
        4.8568769458628465,
        4.856898401774361,
        4.856919857685875,
        4.856941790395423,
        4.856963246306937,
        4.856984702218451,
        4.857006158129965,
        4.857027614041479,
        4.857049069952994,
        4.857071002662542,
        4.857092458574056,
        4.85711391448557,
        4.857135370397084,
        4.857156826308598,
        4.857178282220112,
        4.85720021492966,
        4.857221670841175,
        4.857243126752689,
        4.857264582664203,
        4.857286038575717,
        4.857307494487231,
        4.857329427196778,
        4.8573508831082925,
        4.857372339019807,
        4.857393794931321,
        4.857415250842835,
        4.857436706754349,
        4.857458162665863,
        4.857479618577377,
        4.857501074488892,
        4.85752300719844,
        4.857544463109954,
        4.857565919021468,
        4.857587374932982,
        4.857608830844496,
        4.85763028675601,
        4.8576517426675245,
        4.857673198579039,
        4.857694654490553,
        4.857716110402067,
        4.857737566313581,
        4.857759022225095,
        4.857780478136609,
        4.8578024108461575,
        4.857823866757672,
        4.857845322669186,
        4.8578667785807,
        4.857888234492214,
        4.857909690403728,
        4.857931146315242,
        4.858295896810983,
        4.858360264545525,
        4.858381720457039,
        4.858403176368554,
        4.858424155482035,
        4.858445611393549,
        4.858467067305063,
        4.858488523216577,
        4.858509979128091,
        4.858531435039605,
        4.8585528909511195,
        4.858574346862634,
        4.858595802774148,
        4.858617258685662,
        4.858638714597176,
        4.85866017050869,
        4.858681626420204,
        4.858702605533685,
        4.858724061445199,
        4.858745517356713,
        4.858766973268227,
        4.858788429179741,
        4.858809885091255,
        4.8588313410027695,
        4.858852796914284,
        4.858873776027765,
        4.858895231939279,
        4.858916687850793,
        4.858938143762307,
        4.858959599673821,
        4.858981055585335,
        4.85900251149685,
        4.85902349061033,
        4.859044946521844,
        4.859066402433358,
        4.859087858344872,
        4.859109314256386,
        4.8591307701679005,
        4.859151749281381,
        4.859173205192895,
        4.859194661104409,
        4.859216117015923,
        4.859237572927437,
        4.859258552040918,
        4.8592800079524325,
        4.859301463863947,
        4.859322919775461,
        4.859344375686975,
        4.859365354800455,
        4.859386810711969,
        4.8594082666234835,
        4.859429722534998,
        4.859450701648479,
        4.859472157559993,
        4.859493613471507,
        4.859515069383021,
        4.859536525294535,
        4.8595575044080155,
        4.85957896031953,
        4.859600416231044,
        4.859621872142558,
        4.859642851256038,
        4.859664307167552,
        4.859685763079066,
        4.8597067421925475,
        4.859728198104062,
        4.859749654015576,
        4.85977110992709,
        4.85979208904057,
        4.859813544952084,
        4.859835000863598,
        4.859855979977079,
        4.859877435888593,
        4.859898891800107,
        4.859919870913588,
        4.859941326825102,
        4.859962782736616,
        4.8599842386481305,
        4.860005217761611,
        4.860026673673125,
        4.860048129584639,
        4.86006910869812,
        4.860090564609634,
        4.860111543723114,
        4.8601329996346285,
        4.860154455546143,
        4.860175434659623,
        4.860196890571137,
        4.860218346482651,
        4.860239325596132,
        4.860260781507646,
        4.8602822374191605,
        4.860303216532641,
        4.860324672444155,
        4.860345651557635,
        4.860367107469149,
        4.860388563380663,
        4.8604095424941445,
        4.860430998405659,
        4.860451977519139,
        4.860473433430653,
        4.860494889342167,
        4.860515868455648,
        4.860537324367162,
        4.8605583034806426,
        4.860579759392157,
        4.860601215303671,
        4.860622194417151,
        4.860643650328665,
        4.860664629442146,
        4.86068608535366,
        4.860707064467141,
        4.860728520378655,
        4.860749499492135,
        4.860770955403649,
        4.860792411315163,
        4.860813390428644,
        4.8608348463401585,
        4.860855825453639,
        4.860877281365153,
        4.860898260478633,
        4.860919716390147,
        4.860940695503628,
        4.860962151415142,
        4.860983130528623,
        4.861004586440137,
        4.861025565553617,
        4.861047021465132,
        4.861068000578612,
        4.861089456490126,
        4.861110435603607,
        4.861131891515121,
        4.861152870628602,
        4.861174326540116,
        4.861195305653596,
        4.861216284767076,
        4.8612377406785905,
        4.861258719792072,
        4.861280175703586,
        4.861301154817066,
        4.86132261072858,
        4.86134358984206,
        4.861365045753574,
        4.8613860248670555,
        4.86140748077857,
        4.86142845989205,
        4.86144943900553,
        4.861470894917044,
        4.861491874030525,
        4.861513329942039,
        4.861597723193995,
        4.861915270684404,
        4.861936249797885,
        4.861957228911366,
        4.86199966393636,
        4.86202064304984,
        4.862042098961354,
        4.8620630780748355,
        4.862084057188316,
        4.86210551309983,
        4.86212649221331,
        4.862147471326791,
        4.862168927238305,
        4.8621899063517855,
        4.862210885465267,
        4.862232341376781,
        4.862253320490261,
        4.862274299603741,
        4.862295278717222,
        4.862316734628736,
        4.862337713742217,
        4.862358692855697,
        4.862379671969178,
        4.862401127880692,
        4.862422106994172,
        4.862443086107652,
        4.8624640652211335,
        4.862485521132648,
        4.862506500246128,
        4.862527479359608,
        4.862548458473089,
        4.862569914384603,
        4.8625908934980835,
        4.862611872611564,
        4.862632851725045,
        4.862654307636559,
        4.862675286750039,
        4.86269626586352,
        4.862717244977,
        4.862738224090481,
        4.862759680001995,
        4.862780659115476,
        4.862801638228956,
        4.862822617342436,
        4.862843596455917,
        4.8628650523674315,
        4.862886031480912,
        4.862907010594392,
        4.862927989707873,
        4.862948968821353,
        4.862969947934833,
        4.8629914038463475,
        4.863012382959829,
        4.863033362073309,
        4.863054341186789,
        4.86307532030027,
        4.86309629941375,
        4.8631172785272305,
        4.863138734438745,
        4.863159713552226,
        4.863180692665706,
        4.863201671779186,
        4.863222650892667,
        4.8632436300061475,
        4.8632646091196285,
        4.863285588233109,
        4.863306567346589,
        4.863328023258103,
        4.863349002371584,
        4.863369981485064,
        4.863390960598545,
        4.863411939712026,
        4.863432918825506,
        4.863453897938986,
        4.863474877052467,
        4.863495856165947,
        4.863516835279428,
        4.863537814392909,
        4.863558793506389,
        4.863580249417903,
        4.863601228531383,
        4.863622207644864,
        4.8636431867583445,
        4.863664165871825,
        4.863685144985306,
        4.863706124098786,
        4.863727103212266,
        4.863748082325747,
        4.8637690614392275,
        4.863790040552709,
        4.863811019666189,
        4.863831998779669,
        4.86385297789315,
        4.86387395700663,
        4.8638949361201105,
        4.863915915233592,
        4.863936894347072,
        4.863957873460552,
        4.863978852574033,
        4.863999831687513,
        4.8640208108009935,
        4.864041789914475,
        4.864062769027955,
        4.864083748141435,
        4.864104727254916,
        4.864125706368396,
        4.8641466854818765,
        4.8641676645953575,
        4.864188643708838,
        4.864209622822318,
        4.864230601935799,
        4.864251104251245,
        4.864272083364726,
        4.864293062478207,
        4.864314041591687,
        4.864335020705168,
        4.864355999818648,
        4.864376978932129,
        4.864397958045609,
        4.86441893715909,
        4.864439916272571,
        4.864460895386051,
        4.864481874499531,
        4.864502853613012,
        4.864523355928458,
        4.8645443350419395,
        4.86456531415542,
        4.8645862932689,
        4.864607272382381,
        4.864628251495861,
        4.864649230609341,
        4.8646702097228225,
        4.864690712038269,
        4.86471169115175,
        4.86473267026523,
        4.86475364937871,
        4.864774628492191,
        4.8647956076056715,
        4.864816586719152,
        4.864837089034599,
        4.864858068148079,
        4.86487904726156,
        4.86490002637504,
        4.8649210054885215,
        4.864941984602002,
        4.864962486917449,
        4.864983466030929,
        4.865004445144409,
        4.86502542425789,
        4.8650464033713705,
        4.865066905686818,
        4.865087884800298,
        4.865108863913778,
        4.865129843027259,
        4.865150822140739,
        4.8651713244561865,
        4.865192303569667,
        4.865213282683147,
        4.865255240910108,
        4.865275743225555,
        4.8652967223390355,
        4.865505559877773,
        4.865547041306701,
        4.865568020420182,
        4.865609501849109,
        4.865630480962589,
        4.865651460076069,
        4.865671962391517,
        4.865692941504997,
        4.865713920618478,
        4.865734422933924,
        4.865755402047405,
        4.865776381160885,
        4.8657968834763325,
        4.865817862589813,
        4.865838841703293,
        4.86585934401874,
        4.86588032313222,
        4.865901302245701,
        4.865921804561148,
        4.865942783674629,
        4.865963762788109,
        4.865984265103556,
        4.866005244217036,
        4.866026223330517,
        4.866046725645964,
        4.866067704759445,
        4.866088207074891,
        4.866109186188372,
        4.866130165301852,
        4.866150667617299,
        4.86617164673078,
        4.86619262584426,
        4.866213128159707,
        4.866234107273187,
        4.866254609588634,
        4.8662755887021145,
        4.866296567815596,
        4.866317070131042,
        4.866338049244523,
        4.866358551559969,
        4.86637953067345,
        4.866400032988897,
        4.866421012102378,
        4.866441991215858,
        4.866462493531305,
        4.866483472644785,
        4.866503974960232,
        4.8665249540737125,
        4.86654545638916,
        4.86656643550264,
        4.866586937818087,
        4.866607916931567,
        4.866628896045048,
        4.866649398360495,
        4.866670377473976,
        4.866690879789422,
        4.866711858902903,
        4.866732361218349,
        4.86675334033183,
        4.866773842647277,
        4.866794821760758,
        4.866815324076204,
        4.866836303189685,
        4.866856805505131,
        4.866877784618612,
        4.866898286934059,
        4.86691926604754,
        4.866939768362986,
        4.866960747476467,
        4.866981249791913,
        4.8670022289053945,
        4.867022731220841,
        4.867043233536288,
        4.867064212649769,
        4.867084714965215,
        4.867105694078696,
        4.867126196394143,
        4.867147175507624,
        4.86716767782307,
        4.867188656936551,
        4.867209159251997,
        4.867230138365478,
        4.867250640680925,
        4.867271142996372,
        4.867292122109852,
        4.867312624425299,
        4.867333603538779,
        4.8673541058542265,
        4.867374608169674,
        4.867395587283154,
        4.867416089598601,
        4.867437068712081,
        4.867457571027528,
        4.8674780733429746,
        4.867499052456456,
        4.867519554771902,
        4.867540533885383,
        4.867561036200829,
        4.867581538516276,
        4.8676025176297575,
        4.867623019945204,
        4.867643522260651,
        4.867664501374131,
        4.867685003689578,
        4.867705506005025,
        4.867726485118506,
        4.867746987433953,
        4.867767966547433,
        4.86778846886288,
        4.867808971178326,
        4.867829950291807,
        4.867850452607254,
        4.867870954922701,
        4.867891457238148,
        4.867912436351628,
        4.867932938667075,
        4.867953440982522,
        4.867974420096003,
        4.867994922411449,
        4.868015424726896,
        4.868036403840376,
        4.868056906155823,
        4.868077408471271,
        4.868097910786717,
        4.868118889900198,
        4.868139392215644,
        4.868159894531091,
        4.868180873644572,
        4.868201375960019,
        4.868221878275466,
        4.868242380590913,
        4.868263359704393,
        4.86828386201984,
        4.868304364335287,
        4.868324866650734,
        4.868345845764214,
        4.868366348079661,
        4.868386850395108,
        4.8684073527105545,
        4.868428331824036,
        4.868448834139482,
        4.868469336454929,
        4.868489838770376,
        4.868510341085822,
        4.8685313201993035,
        4.86855182251475,
        4.868572324830197,
        4.868592827145644,
        4.86861332946109,
        4.868634308574571,
        4.868654810890018,
        4.868675313205465,
        4.868695815520912,
        4.868716317836359,
        4.868737296949839,
        4.868757799265286,
        4.868778301580733,
        4.86879880389618,
        4.868819306211627,
        4.868901792271448,
        4.869189301485737,
        4.8692102805992175,
        4.869230782914665,
        4.869251285230112,
        4.869271787545559,
        4.869292289861005,
        4.869312792176452,
        4.8693332944918994,
        4.869353796807346,
        4.869374299122793,
        4.86939480143824,
        4.869415303753686,
        4.869435806069133,
        4.8694563083845805,
        4.869476810700027,
        4.869497789813508,
        4.869518292128954,
        4.869538794444401,
        4.869559296759848,
        4.869579799075295,
        4.869600301390742,
        4.869620803706189,
        4.869641306021635,
        4.869661808337082,
        4.8696823106525295,
        4.869702812967976,
        4.869723315283423,
        4.86974381759887,
        4.869764319914316,
        4.8697848222297635,
        4.869805324545211,
        4.869825826860658,
        4.869846329176104,
        4.869866831491551,
        4.869887333806998,
        4.869907836122445,
        4.869928338437892,
        4.869948840753339,
        4.869969343068785,
        4.869989845384232,
        4.8700098709016455,
        4.870030373217093,
        4.870050875532539,
        4.870071377847986,
        4.870091880163433,
        4.8701123824788795,
        4.870132884794327,
        4.870153387109774,
        4.87017388942522,
        4.870194391740667,
        4.870214894056114,
        4.8702353963715606,
        4.870255898687008,
        4.870276401002455,
        4.870296903317901,
        4.870316928835314,
        4.8703374311507615,
        4.870357933466209,
        4.870378435781656,
        4.870398938097102,
        4.870419440412549,
        4.870439942727996,
        4.8704604450434426,
        4.87048094735889,
        4.870500972876303,
        4.87052147519175,
        4.870541977507196,
        4.8705624798226435,
        4.870582982138091,
        4.870603484453537,
        4.870623986768984,
        4.870644012286397,
        4.870664514601844,
        4.870685016917291,
        4.870705519232738,
        4.870726021548185,
        4.870746523863631,
        4.870766549381044,
        4.8707870516964915,
        4.870807554011939,
        4.870828056327385,
        4.870848558642832,
        4.870869060958279,
        4.870889086475692,
        4.8709095887911396,
        4.870930091106586,
        4.870950593422033,
        4.87097109573748,
        4.870991121254893,
        4.87101162357034,
        4.871032125885787,
        4.871052628201234,
        4.871072653718647,
        4.871093156034093,
        4.8711136583495405,
        4.871134160664988,
        4.871154662980434,
        4.871174688497847,
        4.871195190813294,
        4.871215693128741,
        4.871236195444188,
        4.871256220961601,
        4.871276723277048,
        4.871297225592495,
        4.871317251109908,
        4.871337753425355,
        4.871358255740802,
        4.871378758056249,
        4.871398783573662,
        4.871419285889108,
        4.8714397882045555,
        4.871460290520003,
        4.871480316037416,
        4.871500818352863,
        4.871521320668309,
        4.871541346185722,
        4.87156184850117,
        4.871582350816617,
        4.87160237633403,
        4.871622878649476,
        4.871643380964923,
        4.8716634064823365,
        4.871683908797784,
        4.87170441111323,
        4.871724436630643,
        4.87174493894609,
        4.871765441261537,
        4.871785466778951,
        4.871805969094397,
        4.871826471409844,
        4.871846496927257,
        4.871866999242704,
        4.871887501558151,
        4.871907527075564,
        4.871928029391011,
        4.871948531706458,
        4.871968557223871,
        4.8719890595393185,
        4.872009085056732,
        4.872029587372178,
        4.872050089687625,
        4.872070115205038,
        4.8720906175204854,
        4.872110643037899,
        4.872131145353345,
        4.872151647668792,
        4.872171673186205,
        4.872192175501652,
        4.872212201019066,
        4.872232703334512,
        4.872253205649959,
        4.872273231167372,
        4.872293733482819,
        4.872313759000233,
        4.872334261315679,
        4.872354286833092,
        4.872374789148539,
        4.872394814665952,
        4.8724153169813995,
        4.872435819296846,
        4.872455844814259,
        4.872476347129706,
        4.872496372647119,
        4.87257742831284,
        4.872597930628286,
        4.8726179561456995,
        4.872638458461147,
        4.87265848397856,
        4.87269901181142,
        4.872760041959727,
        4.87278006747714,
        4.872800569792587,
        4.87282059531,
        4.872841097625447,
        4.87286112314286,
        4.872881625458307,
        4.87290165097572,
        4.872922153291167,
        4.8729421788085805,
        4.872962204325994,
        4.87298270664144,
        4.873002732158853,
        4.8730232344743,
        4.8730432599917135,
        4.873063762307161,
        4.873083787824574,
        4.873104290140021,
        4.873124315657434,
        4.873144341174847,
        4.873164843490294,
        4.873184869007707,
        4.873205371323154,
        4.873225396840567,
        4.87324542235798,
        4.873265924673428,
        4.873285950190841,
        4.873306452506287,
        4.8733264780237,
        4.873346503541113,
        4.873367005856561,
        4.873387031373974,
        4.873407533689421,
        4.873427559206834,
        4.873447584724247,
        4.873468087039694,
        4.873488112557107,
        4.87350813807452,
        4.873528640389967,
        4.87354866590738,
        4.8735686914247935,
        4.873589193740241,
        4.873609219257654,
        4.873629721573101,
        4.873649747090514,
        4.873669772607927,
        4.873690274923374,
        4.873710300440787,
        4.8737303259582,
        4.873750351475613,
        4.8737708537910605,
        4.873790879308474,
        4.873810904825887,
        4.873831407141334,
        4.873851432658747,
        4.87387145817616,
        4.873891960491607,
        4.87391198600902,
        4.873932011526433,
        4.873952037043846,
        4.873972539359293,
        4.873992564876707,
        4.87401259039412,
        4.874033092709567,
        4.87405311822698,
        4.874073143744393,
        4.874093169261807,
        4.874113671577253,
        4.874133697094666,
        4.874153722612079,
        4.874173748129493,
        4.87419425044494,
        4.874214275962353,
        4.874234301479766,
        4.874254326997179,
        4.874274829312626,
        4.8742948548300395,
        4.874314880347453,
        4.874334905864866,
        4.874354931382279,
        4.874375433697726,
        4.8743954592151395,
        4.874415484732553,
        4.874435510249966,
        4.874456012565412,
        4.874476038082825,
        4.874496063600239,
        4.874516089117652,
        4.874536114635065,
        4.874556140152478,
        4.874576642467925,
        4.8745966679853385,
        4.874616693502752,
        4.874636719020165,
        4.874656744537578,
        4.874677246853025,
        4.8746972723704385,
        4.874717297887852,
        4.874737323405265,
        4.874757348922678,
        4.874777374440091,
        4.8747973999575045,
        4.874817902272952,
        4.874837927790365,
        4.874857953307778,
        4.874877978825191,
        4.8748980043426045,
        4.874918029860018,
        4.874938055377431,
        4.874958080894844,
        4.87497858321029,
        4.8749986087277035,
        4.875018634245117,
        4.87503865976253,
        4.875058685279943,
        4.875078710797356,
        4.8750987363147695,
        4.875118761832183,
        4.875138787349596,
        4.875158812867009,
        4.875178838384422,
        4.8751993406998695,
        4.875219366217283,
        4.875239391734696,
        4.875259417252109,
        4.875279442769522,
        4.8752994682869355,
        4.875319493804349,
        4.875339519321762,
        4.875359544839175,
        4.875379570356588,
        4.8753995958740015,
        4.875419621391415,
        4.875439646908828,
        4.875459672426241,
        4.875479697943654,
        4.8754997234610675,
        4.875519748978481,
        4.875539774495894,
        4.875559800013307,
        4.87557982553072,
        4.8755998510481335,
        4.875619876565547,
        4.87563990208296,
        4.875659927600373,
        4.875679953117786,
        4.8756999786351995,
        4.875720004152613,
        4.875740029670026,
        4.875760055187439,
        4.875780080704852,
        4.875800106222266,
        4.87582013173968,
        4.875840157257093,
        4.875860182774506,
        4.875880208291919,
        4.8759002338093325,
        4.875920259326746,
        4.875940284844159,
        4.875960310361572,
        4.875980335878985,
        4.8760003613963985,
        4.876020386913812,
        4.876040412431225,
        4.876059961150604,
        4.876079986668017,
        4.8761000121854305,
        4.876120037702844,
        4.876140063220257,
        4.87616008873767,
        4.876359867113769,
        4.876459517902801,
        4.876479543420214,
        4.876499568937628,
        4.876519594455041,
        4.876539619972454,
        4.876559645489867,
        4.8765791942092465,
        4.87659921972666,
        4.876619245244073,
        4.876639270761486,
        4.876659296278899,
        4.8766793217963125,
        4.876698870515693,
        4.876718896033106,
        4.876738921550519,
        4.876758947067932,
        4.876778972585345,
        4.876798521304725,
        4.876818546822138,
        4.876838572339551,
        4.876858597856964,
        4.8768786233743775,
        4.876898172093757,
        4.876918197611171,
        4.876938223128584,
        4.876958248645997,
        4.8769782741634105,
        4.87699782288279,
        4.877017848400203,
        4.877037873917616,
        4.877057899435029,
        4.877077448154409,
        4.877097473671822,
        4.877117499189235,
        4.877137524706648,
        4.877157073426028,
        4.8771770989434415,
        4.877197124460855,
        4.877217149978268,
        4.877236698697647,
        4.87725672421506,
        4.877276749732474,
        4.877296298451853,
        4.877316323969266,
        4.877336349486679,
        4.8773563750040925,
        4.877375923723473,
        4.877395949240886,
        4.877415974758299,
        4.877435523477678,
        4.8774555489950915,
        4.877475574512505,
        4.877495123231885,
        4.877515148749298,
        4.877535174266711,
        4.8775547229860905,
        4.877574748503504,
        4.877594774020917,
        4.877614322740296,
        4.877634348257709,
        4.877654373775123,
        4.877673922494503,
        4.877693948011916,
        4.877713973529329,
        4.877733522248708,
        4.877753547766122,
        4.877773573283535,
        4.877793122002914,
        4.877813147520327,
        4.87783317303774,
        4.877852721757121,
        4.877872747274534,
        4.877892295993913,
        4.877912321511326,
        4.8779323470287395,
        4.877951895748119,
        4.877971921265532,
        4.877991469984912,
        4.878011495502325,
        4.8780315210197385,
        4.878051069739118,
        4.878071095256531,
        4.878090643975911,
        4.878110669493324,
        4.8781306950107375,
        4.878150243730117,
        4.87817026924753,
        4.878189817966909,
        4.878209843484322,
        4.8782293922037026,
        4.878249417721116,
        4.878269443238529,
        4.878288991957908,
        4.878309017475321,
        4.878328566194701,
        4.878348591712114,
        4.878368140431494,
        4.878388165948907,
        4.8784077146682865,
        4.8784277401857,
        4.878447288905079,
        4.878467314422492,
        4.878486863141872,
        4.8785068886592855,
        4.878526437378665,
        4.878546462896078,
        4.878566011615458,
        4.878586037132871,
        4.878605585852251,
        4.878625611369664,
        4.878645160089043,
        4.878665185606456,
        4.878684734325836,
        4.87870475984325,
        4.878724308562629,
        4.878744334080042,
        4.878763882799421,
        4.8787839083168345,
        4.878803457036215,
        4.878823482553628,
        4.878843031273007,
        4.87886305679042,
        4.8788826055098,
        4.87890215422918,
        4.878922179746593,
        4.878941728465972,
        4.878961753983385,
        4.878981302702765,
        4.879001328220178,
        4.879020876939558,
        4.879040425658937,
        4.8790604511763505,
        4.87907999989573,
        4.879100025413144,
        4.879119574132523,
        4.879139599649936,
        4.8791591483693155,
        4.879178697088696,
        4.879198722606109,
        4.879218271325488,
        4.879238296842901,
        4.879257845562281,
        4.879277394281661,
        4.879297419799074,
        4.879316968518453,
        4.8793365172378325,
        4.879356542755246,
        4.879376091474626,
        4.879396116992039,
        4.879415665711418,
        4.8794352144307975,
        4.879455239948211,
        4.879474788667591,
        4.87949433738697,
        4.879514362904383,
        4.879533911623763,
        4.879553460343143,
        4.879573485860556,
        4.879593034579935,
        4.8796125832993145,
        4.879632608816728,
        4.879652157536108,
        4.879671706255487,
        4.8796917317729,
        4.87971128049228,
        4.87973082921166,
        4.879750854729073,
        4.879770403448452,
        4.879868623843384,
        4.8799868697557285,
        4.88010463887004,
        4.880124664387453,
        4.880144213106832,
        4.8801637618262115,
        4.880183310545592,
        4.880203336063005,
        4.880222884782384,
        4.880242433501764,
        4.8802619822211435,
        4.880281530940523,
        4.880301556457936,
        4.880321105177316,
        4.880340653896695,
        4.880360202616075,
        4.880379751335455,
        4.880399776852868,
        4.880419325572247,
        4.8804388742916265,
        4.880458423011007,
        4.880477971730386,
        4.880497997247799,
        4.880517545967178,
        4.8805370946865585,
        4.880556643405938,
        4.880576192125317,
        4.880595740844697,
        4.88061576636211,
        4.88063531508149,
        4.880654863800869,
        4.880674412520249,
        4.880693961239628,
        4.8807135099590075,
        4.880733058678388,
        4.880753084195801,
        4.88077263291518,
        4.88079218163456,
        4.88081173035394,
        4.880831279073319,
        4.880850827792699,
        4.880870376512078,
        4.8808899252314575,
        4.880909950748871,
        4.880929499468251,
        4.88094904818763,
        4.880968596907009,
        4.8809881456263895,
        4.881007694345769,
        4.881027243065148,
        4.881046791784528,
        4.881066340503907,
        4.881085889223287,
        4.881105437942667,
        4.88112546346008,
        4.881145012179459,
        4.8811645608988385,
        4.881184109618219,
        4.881203658337598,
        4.881223207056977,
        4.881242755776357,
        4.881262304495737,
        4.881281853215117,
        4.881301401934496,
        4.881320950653875,
        4.881340499373255,
        4.881360048092635,
        4.881379596812014,
        4.881399145531394,
        4.881418694250773,
        4.881438242970153,
        4.881457791689533,
        4.881477340408912,
        4.881496889128291,
        4.881516437847671,
        4.881535986567051,
        4.88155553528643,
        4.88157508400581,
        4.881594632725189,
        4.881614181444569,
        4.881633730163949,
        4.881653278883328,
        4.881672827602707,
        4.881692376322087,
        4.881711925041467,
        4.881731473760846,
        4.881751022480226,
        4.881770571199605,
        4.881790119918985,
        4.881809668638365,
        4.881829217357744,
        4.881848766077124,
        4.881868314796503,
        4.881887863515883,
        4.881907412235263,
        4.881926960954642,
        4.881946509674021,
        4.8819660583934015,
        4.881985130314747,
        4.882004679034127,
        4.882024227753506,
        4.8820437764728855,
        4.882063325192266,
        4.882082873911645,
        4.882102422631024,
        4.882121971350404,
        4.8821415200697835,
        4.882161068789163,
        4.882180617508543,
        4.882199689429888,
        4.882219238149268,
        4.882238786868648,
        4.882258335588027,
        4.882277884307407,
        4.882297433026786,
        4.882316981746166,
        4.882336530465546,
        4.882355602386891,
        4.882375151106271,
        4.88239469982565,
        4.882414248545031,
        4.88243379726441,
        4.882453345983789,
        4.882472894703169,
        4.882491966624515,
        4.882511515343895,
        4.882531064063274,
        4.882550612782653,
        4.882570161502033,
        4.882589710221413,
        4.882608782142759,
        4.882628330862138,
        4.882647879581517,
        4.8826674283008975,
        4.882686977020277,
        4.882706048941623,
        4.882725597661002,
        4.8827451463803815,
        4.882764695099762,
        4.882784243819141,
        4.882803315740487,
        4.882822864459866,
        4.882842413179246,
        4.882861961898626,
        4.882881510618005,
        4.882900582539351,
        4.8829201312587305,
        4.882939679978111,
        4.88295922869749,
        4.882978300618836,
        4.882997849338215,
        4.883017398057595,
        4.883036946776975,
        4.88305601869832,
        4.8830755674177,
        4.8830951161370795,
        4.883114664856459,
        4.883133736777805,
        4.883153285497184,
        4.883172834216564,
        4.883192382935944,
        4.88321145485729,
        4.883231003576669,
        4.883250552296048,
        4.8832696242173945,
        4.883289172936774,
        4.883308721656154,
        4.883328270375533,
        4.883347342296879,
        4.883366891016259,
        4.883386439735638,
        4.883405511656984,
        4.883425060376363,
        4.883463681017089,
        4.883483229736469,
        4.883541399096574,
        4.8836963584575095,
        4.883715907176889,
        4.883735455896269,
        4.883754527817614,
        4.883774076536994,
        4.88379314845834,
        4.88381269717772,
        4.883832245897099,
        4.883851317818445,
        4.8838708665378245,
        4.883889938459171,
        4.88390948717855,
        4.883929035897929,
        4.8839481078192755,
        4.883967656538655,
        4.883986728460001,
        4.88400627717938,
        4.88402582589876,
        4.8840448978201065,
        4.884064446539486,
        4.884083518460832,
        4.884103067180211,
        4.8841226158995905,
        4.884141687820937,
        4.884161236540316,
        4.884180308461662,
        4.884199857181041,
        4.884218929102388,
        4.884238477821767,
        4.884257549743113,
        4.884277098462492,
        4.884296170383839,
        4.884315719103218,
        4.884335267822598,
        4.884354339743943,
        4.884373888463323,
        4.884392960384669,
        4.884412509104049,
        4.884431581025394,
        4.884451129744774,
        4.88447020166612,
        4.8844897503855,
        4.884508822306845,
        4.884528371026225,
        4.884547442947571,
        4.884566991666951,
        4.884586063588297,
        4.884605612307676,
        4.884624684229022,
        4.884644232948402,
        4.884663304869748,
        4.884682853589127,
        4.884701925510473,
        4.884721474229853,
        4.884740546151199,
        4.884759618072544,
        4.884779166791924,
        4.88479823871327,
        4.88481778743265,
        4.884836859353995,
        4.884856408073375,
        4.8848754799947205,
        4.884895028714101,
        4.884914100635446,
        4.884933172556792,
        4.884952721276171,
        4.884971793197518,
        4.884991341916897,
        4.885010413838243,
        4.885029962557622,
        4.8850490344789685,
        4.885068106400315,
        4.885087655119694,
        4.88510672704104,
        4.8851262757604195,
        4.885145347681766,
        4.885164419603112,
        4.885183968322491,
        4.885203040243837,
        4.885222588963217,
        4.885241660884563,
        4.885260732805908,
        4.885280281525288,
        4.885299353446634,
        4.88531842536798,
        4.885337974087359,
        4.885357046008705,
        4.8853765947280845,
        4.885395666649431,
        4.885414738570777,
        4.885434287290156,
        4.885453359211502,
        4.885472431132848,
        4.885491979852228,
        4.885511051773573,
        4.885530123694919,
        4.885549672414299,
        4.885568744335645,
        4.885587816256991,
        4.88560736497637,
        4.8856264368977165,
        4.885645508819062,
        4.885665057538442,
        4.885684129459788,
        4.8857032013811335,
        4.88572227330248,
        4.885741822021859,
        4.885779965864551,
        4.885799514583931,
        4.885876279067348,
        4.885991187393457,
        4.886029808034182,
        4.886106572517599,
        4.886125644438946,
        4.886144716360292,
        4.886163788281637,
        4.886183337001017,
        4.8862024089223635,
        4.886221480843709,
        4.886240552765055,
        4.886260101484434,
        4.88627917340578,
        4.886298245327127,
        4.886317317248472,
        4.886336389169818,
        4.886355937889197,
        4.886375009810544,
        4.88639408173189,
        4.886413153653235,
        4.886432225574581,
        4.8864512974959275,
        4.886470846215307,
        4.886489918136653,
        4.886508990057998,
        4.8865280619793445,
        4.886547133900691,
        4.886566205822036,
        4.886585754541416,
        4.8866048264627615,
        4.886623898384108,
        4.886642970305454,
        4.886662042226799,
        4.886681114148145,
        4.886700662867525,
        4.886719734788871,
        4.886738806710217,
        4.886757878631563,
        4.886776950552909,
        4.886796022474255,
        4.886815094395601,
        4.886834166316946,
        4.8868532382382925,
        4.886872786957672,
        4.886891858879018,
        4.886910930800364,
        4.8869300027217095,
        4.886949074643056,
        4.886968146564402,
        4.886987218485747,
        4.8870062904070934,
        4.88702536232844,
        4.887044434249785,
        4.887063982969165,
        4.88708305489051,
        4.887102126811857,
        4.887121198733203,
        4.887254702182624,
        4.88727377410397,
        4.887311917946662,
        4.8873691337107,
        4.887388205632045,
        4.887407277553391,
        4.887426349474738,
        4.887445421396083,
        4.887464493317429,
        4.887483565238775,
        4.887502637160121,
        4.887521709081467,
        4.887540781002813,
        4.887559852924158,
        4.887578924845505,
        4.887597996766851,
        4.887617068688196,
        4.887636140609542,
        4.8876552125308885,
        4.887674284452234,
        4.88769335637358,
        4.887712428294926,
        4.887731500216272,
        4.887750572137618,
        4.887769644058964,
        4.887788715980309,
        4.8878077879016555,
        4.887826859823002,
        4.887845931744348,
        4.887865003665693,
        4.887884075587039,
        4.887903147508386,
        4.887922219429731,
        4.887941291351077,
        4.887960363272423,
        4.887978958395736,
        4.887998030317081,
        4.888017102238427,
        4.888036174159773,
        4.888055246081119,
        4.888074318002465,
        4.888093389923811,
        4.888112461845156,
        4.888131533766503,
        4.888150605687849,
        4.888169677609194,
        4.888188272732506,
        4.8882073446538525,
        4.888226416575199,
        4.888245488496544,
        4.88826456041789,
        4.8882836323392365,
        4.888302704260582,
        4.888321776181928,
        4.88834037130524,
        4.888359443226586,
        4.888378515147932,
        4.888397587069278,
        4.888416658990624,
        4.88843573091197,
        4.888454802833316,
        4.888473397956628,
        4.888492469877974,
        4.88851154179932,
        4.888530613720666,
        4.888549685642012,
        4.888568757563358,
        4.88858735268667,
        4.888606424608016,
        4.888625496529362,
        4.888644568450708,
        4.888663640372053,
        4.888682235495366,
        4.888701307416712,
        4.888720379338058,
        4.888739451259403,
        4.8887585231807495,
        4.888777118304062,
        4.888796190225408,
        4.888815262146753,
        4.8888343340680995,
        4.888853405989446,
        4.888872001112758,
        4.888891073034103,
        4.8889101449554495,
        4.888929216876796,
        4.888947812000108,
        4.888966883921454,
        4.8889859558427995,
        4.889005027764146,
        4.889023622887458,
        4.889042694808804,
        4.8890617667301495,
        4.889080838651496,
        4.889099433774808,
        4.889118505696154,
        4.8891375776174995,
        4.889156649538846,
        4.889175244662158,
        4.889194316583504,
        4.889213388504849,
        4.889231983628162,
        4.889251055549508,
        4.889270127470854,
        4.889289199392199,
        4.889307794515512,
        4.889326866436858,
        4.889345938358204,
        4.889364533481516,
        4.889383605402862,
        4.889402677324208,
        4.88942127244752,
        4.889440344368866,
        4.889459416290212,
        4.889478011413524,
        4.88949708333487,
        4.889516155256216,
        4.889534750379529,
        4.889553822300875,
        4.88957289422222,
        4.889591489345532,
        4.8896105612668785,
        4.889629633188225,
        4.889648228311537,
        4.889667300232882,
        4.8896863721542285,
        4.889704967277541,
        4.889724039198887,
        4.889743111120232,
        4.889761706243545,
        4.889780778164891,
        4.889799373288203,
        4.889818445209549,
        4.8898375171308945,
        4.889856112254207,
        4.889875184175553,
        4.889894256096899,
        4.8899128512202115,
        4.889931923141557,
        4.889950518264869,
        4.889969590186215,
        4.8899881853095275,
        4.890007257230874,
        4.890026329152219,
        4.890044924275532,
        4.8900639961968775,
        4.89008259132019,
        4.890101663241536,
        4.890120735162882,
        4.890139330286194,
        4.89015840220754,
        4.890176997330852,
        4.890196069252198,
        4.8902146643755104,
        4.890233736296857,
        4.890252331420169,
        4.890271403341514,
        4.89029047526286,
        4.890309070386173,
        4.890328142307519,
        4.890346737430831,
        4.8903658093521765,
        4.890384404475489,
        4.890403476396835,
        4.890422071520147,
        4.890441143441493,
        4.890459738564806,
        4.890478810486151,
        4.890497405609463,
        4.890516477530809,
        4.890535072654122,
        4.890554144575468,
        4.89057273969878,
        4.890591811620126,
        4.890610406743439,
        4.890629478664784,
        4.890648073788096,
        4.890667145709442,
        4.890685740832755,
        4.890704812754101,
        4.890723407877413,
        4.890742479798758,
        4.890817337090041,
        4.890930338224016,
        4.890948933347328,
        4.890968005268674,
        4.890986600391987,
        4.891005672313332,
        4.891024267436644,
        4.89104333935799,
        4.891080529604615,
        4.891099601525961,
        4.891118196649273,
        4.89113726857062,
        4.891155863693932,
        4.891174458817244,
        4.891193530738589,
        4.891212125861902,
        4.891231197783248,
        4.89124979290656,
        4.891268388029872,
        4.891287459951219,
        4.891306055074531,
        4.891324650197843,
        4.891343722119188,
        4.891362317242501,
        4.891380912365813,
        4.891399984287159,
        4.891418579410471,
        4.891437651331818,
        4.89145624645513,
        4.891474841578442,
        4.8914939134997875,
        4.8915125086231,
        4.891531103746412,
        4.891550175667758,
        4.89156877079107,
        4.891587365914383,
        4.891606437835729,
        4.891643628082353,
        4.891662700003699,
        4.892541915577746,
        4.89257910582437,
        4.892597700947682,
        4.892616296070995,
        4.892653963115653,
        4.892672558238965,
        4.892691153362278,
        4.892728343608902,
        4.892765533855527,
        4.892784605776873,
        4.892803200900185,
        4.89284039114681,
        4.892858986270122,
        4.892877581393434,
        4.8928961765167465,
        4.892914771640059,
        4.892933843561405,
        4.892952438684717,
        4.8929710338080294,
        4.892989628931342,
        4.893008224054654,
        4.893026819177966,
        4.8930454143012785,
        4.893064009424591,
        4.893082604547903,
        4.893101199671215,
        4.8931197947945275,
        4.89313838991784,
        4.893157461839185,
        4.893176056962497,
        4.89319465208581,
        4.893213247209122,
        4.893231842332434,
        4.893250437455746,
        4.893269032579059,
        4.893287627702371,
        4.893306222825683,
        4.893324817948996,
        4.893343413072309,
        4.893362008195621,
        4.893380603318933,
        4.893399198442245,
        4.893417793565558,
        4.89343638868887,
        4.893454983812182,
        4.893473578935494,
        4.893492174058807,
        4.893510769182119,
        4.893529364305431,
        4.893547959428743,
        4.893566554552056,
        4.893585149675368,
        4.89360374479868,
        4.8936223399219925,
        4.893640935045305,
        4.893659530168617,
        4.893678125291929,
        4.8936967204152415,
        4.893715315538554,
        4.893733910661866,
        4.893752505785178,
        4.8937711009084905,
        4.893789696031803,
        4.893808291155115,
        4.893826886278427,
        4.89384548140174,
        4.893864076525052,
        4.893882671648364,
        4.893901266771676,
        4.893919861894989,
        4.893938457018301,
        4.893956575343579,
        4.8939751704668915,
        4.893993765590204,
        4.894012360713516,
        4.894030955836828,
        4.8940495509601405,
        4.894068146083453,
        4.894086741206765,
        4.894105336330077,
        4.8941239314533895,
        4.894142526576702,
        4.894161121700014,
        4.894179240025293,
        4.8941978351486055,
        4.894216430271918,
        4.89423502539523,
        4.894253620518542,
        4.8942722156418546,
        4.894290810765167,
        4.894309405888479,
        4.894327524213757,
        4.89434611933707,
        4.894364714460382,
        4.894383309583694,
        4.894401904707006,
        4.894568784018784,
        4.894586902344062,
        4.894605497467374,
        4.894642687713999,
        4.894661282837311,
        4.894679877960623,
        4.894697996285902,
        4.894716591409214,
        4.894735186532526,
        4.894753781655838,
        4.894772376779151,
        4.89479049510443,
        4.894809090227742,
        4.894827685351054,
        4.894846280474367,
        4.894864398799645,
        4.894882993922957,
        4.8949015890462695,
        4.894920184169582,
        4.894938779292894,
        4.894956897618173,
        4.8949754927414855,
        4.894994087864798,
        4.89501268298811,
        4.895030801313388,
        4.895049396436701,
        4.895067991560013,
        4.895086586683325,
        4.895104705008603,
        4.895123300131916,
        4.895141895255228,
        4.89516049037854,
        4.895178608703819,
        4.895197203827132,
        4.895215798950444,
        4.895234394073756,
        4.8952525123990345,
        4.895271107522347,
        4.895289702645659,
        4.895307820970937,
        4.89532641609425,
        4.895345011217562,
        4.895363606340874,
        4.895381724666153,
        4.8954003197894655,
        4.895418914912778,
        4.895437033238056,
        4.895455628361368,
        4.895474223484681,
        4.895492341809959,
        4.895510936933272,
        4.895529532056584,
        4.895547650381863,
        4.895566245505175,
        4.895584840628487,
        4.8956029589537655,
        4.895621554077078,
        4.89564014920039,
        4.895658267525669,
        4.8956768626489815,
        4.895695457772294,
        4.895713576097572,
        4.895732171220884,
        4.895750766344197,
        4.895768884669475,
        4.895787479792787,
        4.895806074916099,
        4.895824193241379,
        4.895842788364691,
        4.895860906689969,
        4.8958795018132815,
        4.895898096936594,
        4.895916215261872,
        4.895934810385184,
        4.8959529287104635,
        4.895971523833776,
        4.895990118957088,
        4.896008237282366,
        4.896026832405679,
        4.896044950730957,
        4.89606354585427,
        4.896082140977582,
        4.896100259302861,
        4.896118854426173,
        4.898834219227798,
        4.9018442452142175,
        4.901866177923765,
        4.901887633835279,
        4.901909566544827,
        4.901931499254375,
        4.901953431963922,
        4.90197536467347,
        4.901997297383018,
        4.9020187532945325,
        4.90204068600408,
        4.902062618713628,
        4.902084551423176,
        4.902106484132724,
        4.902127940044238,
        4.902149872753785,
        4.902171805463333,
        4.9021937381728815,
        4.902215670882429,
        4.902237126793943,
        4.902259059503491,
        4.902280992213039,
        4.902302924922586,
        4.9023243808341,
        4.9023463135436485,
        4.902368246253197,
        4.902390178962744,
        4.902411634874258,
        4.902433567583806,
        4.902455500293354,
        4.902477433002901,
        4.902498888914415,
        4.9025208216239635,
        4.902542754333512,
        4.902564687043059,
        4.902586142954573,
        4.902608075664121,
        4.902630008373669,
        4.902651464285183,
        4.902673396994731,
        4.902695329704279,
        4.902717262413827,
        4.902738718325341,
        4.902760651034889,
        4.902782583744436,
        4.90280403965595,
        4.902825972365498,
        4.902847905075046,
        4.902869360986561,
        4.902891293696108,
        4.902913226405656,
        4.90293468231717,
        4.902956615026718,
        4.902978547736265,
        4.903000003647779,
        4.9030219363573275,
        4.903043869066876,
        4.90306532497839,
        4.903087257687937,
        4.903108713599451,
        4.903130646308999,
        4.903152579018547,
        4.903174034930061,
        4.9031959676396095,
        4.903217900349157,
        4.903239356260671,
        4.903261288970219,
        4.903282744881733,
        4.903304677591281,
        4.903326610300828,
        4.9033480662123425,
        4.903369998921891,
        4.903391454833405,
        4.903413387542953,
        4.9034353202525,
        4.903456776164014,
        4.903478708873562,
        4.903500164785076,
        4.9035220974946245,
        4.903543553406139,
        4.903565486115686,
        4.9035869420272,
        4.903608874736748,
        4.903630807446296,
        4.90365226335781,
        4.9036741960673575,
        4.903695651978872,
        4.90371758468842,
        4.903739040599934,
        4.903760973309482,
        4.903782429220996,
        4.903804361930544,
        4.903825817842058,
        4.903847750551606,
        4.90386920646312,
        4.903891139172668,
        4.903912595084182,
        4.90393452779373,
        4.903955983705244,
        4.903977916414791,
        4.903999372326306,
        4.904021305035854,
        4.904042760947368,
        4.904064693656916,
        4.90408614956843,
        4.904108082277977,
        4.904129538189491,
        4.9041509941010055,
        4.904172926810554,
        4.904194382722068,
        4.904216315431616,
        4.90423777134313,
        4.904259704052678,
        4.904281159964192,
        4.904302615875706,
        4.904324548585254,
        4.904346004496768,
        4.904367937206316,
        4.90438939311783,
        4.904411325827378,
        4.904432781738892,
        4.904454237650406,
        4.9044761703599535,
        4.904497626271468,
        4.904519558981016,
        4.90454101489253,
        4.904562470804044,
        4.904584403513592,
        4.904605859425106,
        4.90462731533662,
        4.904649248046168,
        4.904670703957682,
        4.90469263666723,
        4.904714092578744,
        4.904735548490258,
        4.904757481199806,
        4.90477893711132,
        4.9048003930228345,
        4.904822325732383,
        4.904843781643897,
        4.904865237555411,
        4.904887170264958,
        4.904908626176472,
        4.904930082087986,
        4.9049520147975345,
        4.904973470709049,
        4.904994926620563,
        4.905016859330111,
        4.905038315241625,
        4.905059771153139,
        4.905081227064653,
        4.9051031597742005,
        4.905124615685715,
        4.905146071597229,
        4.905168004306777,
        4.905189460218291,
        4.905210916129805,
        4.905232372041319,
        4.905254304750867,
        4.905275760662382,
        4.905297216573896,
        4.90531867248541,
        4.905340605194957,
        4.905362061106472,
        4.905383517017986,
        4.9054049729295,
        4.905426905639048,
        4.905448361550562,
        4.905469817462076,
        4.90549127337359,
        4.905513206083138,
        4.905534661994652,
        4.905556117906166,
        4.905577573817681,
        4.905599029729195,
        4.905620962438743,
        4.905642418350257,
        4.905663874261771,
        4.905685330173285,
        4.905706786084799,
        4.905728718794347,
        4.905750174705861,
        4.905771630617375,
        4.905793086528889,
        4.905814542440403,
        4.905835998351917,
        4.905857931061465,
        4.9058793869729795,
        4.905900842884494,
        4.905922298796008,
        4.905943754707522,
        4.905965210619036,
        4.905987143328584,
        4.906008599240098,
        4.9060300551516125,
        4.906051511063127,
        4.906072966974641,
        4.906094422886155,
        4.906115878797669,
        4.906137334709183,
        4.906159267418731,
        4.9061807233302455,
        4.90620217924176,
        4.906223635153274,
        4.906245091064788,
        4.906266546976302,
        4.906288002887816,
        4.90630945879933,
        4.9063309147108445,
        4.906352370622359,
        4.906373826533873,
        4.906395282445387,
        4.906417215154934,
        4.906438671066448,
        4.906460126977963,
        4.9064815828894774,
        4.906503038800992,
        4.906524494712506,
        4.90654595062402,
        4.906567406535534,
        4.906588862447048,
        4.906610318358562,
        4.9066317742700765,
        4.906653230181591,
        4.906674686093105,
        4.906696142004619,
        4.906717597916133,
        4.906739053827647,
        4.906760509739161,
        4.9067819656506755,
        4.90680342156219,
        4.906824877473704,
        4.906846333385218,
        4.906867789296732,
        4.906889245208246,
        4.90691070111976,
        4.9069321570312745,
        4.906953612942789,
        4.906975068854303,
        4.906996524765817,
        4.907017980677331,
        4.907039436588845,
        4.907060892500359,
        4.9070823484118735,
        4.907103804323388,
        4.907125260234902,
        4.907146716146416,
        4.90716817205793,
        4.907189627969444,
        4.9072106070829244,
        4.907232062994439,
        4.907253518905953,
        4.907274974817467,
        4.907296430728981,
        4.907317886640495,
        4.907339342552009,
        4.9073607984635235,
        4.907382254375038,
        4.907403710286552,
        4.907467601223061,
        4.907681683540169,
        4.907703139451683,
        4.907767030388192,
        4.907788486299706,
        4.9078099422112205,
        4.907831398122735,
        4.907852854034249,
        4.907895289059243,
        4.907916744970757,
        4.907938200882271,
        4.9079596567937855,
        4.9079811127053,
        4.90800209181878,
        4.908023547730294,
        4.908045003641808,
        4.908066459553322,
        4.908087915464837,
        4.908108894578318,
        4.908130350489832,
        4.908151806401346,
        4.90817326231286,
        4.90819424142634,
        4.908215697337854,
        4.9082371532493685,
        4.908258609160883,
        4.908279588274364,
        4.908301044185878,
        4.908322500097392,
        4.908343956008906,
        4.908364935122386,
        4.9083863910339005,
        4.908407846945415,
        4.908429302856929,
        4.908450281970409,
        4.908471737881923,
        4.908493193793437,
        4.908514172906918,
        4.9085356288184325,
        4.908557084729947,
        4.908578540641461,
        4.908599519754941,
        4.908620975666455,
        4.908642431577969,
        4.90866341069145,
        4.9086848666029645,
        4.908706322514479,
        4.908727301627959,
        4.908748757539473,
        4.908770213450987,
        4.908791192564467,
        4.9088126484759815,
        4.908834104387496,
        4.908855083500977,
        4.908876539412491,
        4.908897995324005,
        4.908918974437485,
        4.908940430348999,
        4.9089618862605136,
        4.908982865373994,
        4.909004321285508,
        4.909025300398989,
        4.909046756310503,
        4.909068212222017,
        4.9090891913354975,
        4.909110647247012,
        4.909131626360492,
        4.909153082272006,
        4.90917453818352,
        4.909195517297001,
        4.909216973208515,
        4.909237952321996,
        4.90925940823351,
        4.909280864145024,
        4.909301843258505,
        4.909323299170019,
        4.909344278283499,
        4.909365734195013,
        4.909386713308494,
        4.909408169220008,
        4.909429625131522,
        4.909450604245003,
        4.909472060156517,
        4.909493039269997,
        4.9095144951815115,
        4.909535474294992,
        4.909556930206506,
        4.909577909319987,
        4.909599365231501,
        4.909620344344981,
        4.909641800256495,
        4.909662779369976,
        4.90968423528149,
        4.909705214394971,
        4.909726670306485,
        4.909747649419965,
        4.909769105331479,
        4.9097900844449605,
        4.909811540356475,
        4.909832519469955,
        4.909853975381469,
        4.909874954494949,
        4.909896410406463,
        4.909917389519944,
        4.9099388454314585,
        4.909959824544939,
        4.909981280456453,
        4.910002259569933,
        4.910023715481447,
        4.910044694594928,
        4.9100656737084085,
        4.910087129619923,
        4.910108108733403,
        4.910129564644917,
        4.910150543758398,
        4.910171999669912,
        4.9101929787833924,
        4.910214434694907,
        4.910235413808387,
        4.910256392921868,
        4.910277848833382,
        4.910298827946862,
        4.910320283858376,
        4.9103412629718575,
        4.910362242085338,
        4.910383697996852,
        4.910404677110332,
        4.910426133021846,
        4.910447112135327,
        4.9104680912488075,
        4.910489547160322,
        4.910510526273802,
        4.910531505387283,
        4.910552961298797,
        4.910573940412277,
        4.910594919525757,
        4.910616375437272,
        4.910637354550753,
        4.910658810462267,
        4.910679789575747,
        4.910700768689227,
        4.910722224600741,
        4.9107432037142225,
        4.910764182827703,
        4.910785638739217,
        4.910806617852697,
        4.910827596966178,
        4.910848576079658,
        4.9108700319911724,
        4.9108910111046535,
        4.910911990218134,
        4.910933446129648,
        4.910954425243128,
        4.910975404356609,
        4.910996860268123,
        4.9110178393816035,
        4.911038818495084,
        4.911059797608565,
        4.911081253520079,
        4.911102232633559,
        4.911123211747039,
        4.9111441908605205,
        4.911165646772035,
        4.911186625885515,
        4.911207604998995,
        4.911228584112476,
        4.91125004002399,
        4.91127101913747,
        4.911291998250951,
        4.911312977364432,
        4.911334433275946,
        4.911355412389426,
        4.911376391502907,
        4.911397370616387,
        4.9114188265279015,
        4.911439805641382,
        4.911460784754863,
        4.911481763868343,
        4.911502742981823,
        4.911524198893337,
        4.9115451780068184,
        4.911566157120299,
        4.911587136233779,
        4.91160811534726,
        4.91162909446074,
        4.911650550372254,
        4.9116715294857345,
        4.911692508599216,
        4.911713487712696,
        4.911734466826176,
        4.91175592273769,
        4.911776901851171,
        4.911797880964651,
        4.911818860078132,
        4.911839839191613,
        4.911860818305093,
        4.911881797418573,
        4.911903253330087,
        4.911924232443568,
        4.9119452115570486,
        4.91196619067053,
        4.91198716978401,
        4.91200814889749,
        4.912029128010971,
        4.912050107124451,
        4.9120710862379315,
        4.912092542149446,
        4.912113521262927,
        4.912134500376407,
        4.912155479489887,
        4.912176458603368,
        4.9121974377168485,
        4.912218416830329,
        4.91223939594381,
        4.91226037505729,
        4.91228135417077,
        4.912302333284251,
        4.9123233123977315,
        4.912344291511212,
        4.912365747422726,
        4.912386726536207,
        4.912407705649687,
        4.912428684763167,
        4.912449663876648,
        4.912470642990129,
        4.91249162210361,
        4.91251260121709,
        4.91253358033057,
        4.912554559444051,
        4.912575538557531,
        4.912596517671012,
        4.912617496784493,
        4.912638475897973,
        4.912659455011453,
        4.912680434124934,
        4.912701413238414,
        4.912722392351895,
        4.912743371465376,
        4.912764350578856,
        4.912785329692336,
        4.912806308805817,
        4.912827287919297,
        4.9128482670327775,
        4.912869246146259,
        4.912890225259739,
        4.912911204373219,
        4.9129321834867,
        4.91295316260018,
        4.9129741417136605,
        4.912995120827142,
        4.913015623142589,
        4.913036602256069,
        4.913057581369549,
        4.91307856048303,
        4.9130995395965105,
        4.913120518709991,
        4.913141497823472,
        4.913162476936952,
        4.913183456050432,
        4.913204435163913,
        4.9132254142773935,
        4.913246393390874,
        4.913266895706321,
        4.913287874819801,
        4.913308853933282,
        4.913329833046762,
        4.9133508121602425,
        4.913371791273724,
        4.913392770387204,
        4.913413749500684,
        4.913434728614165,
        4.913455230929611,
        4.913476210043092,
        4.913497189156573,
        4.913518168270053,
        4.913539147383534,
        4.913560126497014,
        4.913581105610495,
        4.9136016079259415,
        4.913622587039423,
        4.913643566152903,
        4.913664545266383,
        4.913685524379864,
        4.913706503493344,
        4.913727005808791,
        4.913747984922272,
        4.913768964035752,
        4.913789943149233,
        4.913810922262713,
        4.91383142457816,
        4.9138524036916404,
        4.913873382805121,
        4.913894361918602,
        4.913915341032082,
        4.913935843347529,
        4.913956822461009,
        4.9139778015744895,
        4.913998780687971,
        4.914019759801451,
        4.914040262116898,
        4.914061241230378,
        4.914082220343858,
        4.914103199457339,
        4.914123701772787,
        4.914144680886267,
        4.914165659999747,
        4.914186639113228,
        4.914207141428674,
        4.914228120542155,
        4.914249099655636,
        4.914270078769116,
        4.914290581084563,
        4.914311560198043,
        4.914332539311524,
        4.9143530416269705,
        4.914374020740452,
        4.914394999853932,
        4.914415978967412,
        4.914436481282859,
        4.914457460396339,
        4.91447843950982,
        4.914498941825267,
        4.914519920938748,
        4.914540900052228,
        4.914561402367675,
        4.914582381481155,
        4.9146033605946355,
        4.914623862910083,
        4.914644842023563,
        4.914665821137044,
        4.914686323452491,
        4.914707302565971,
        4.9147282816794515,
        4.914748783994899,
        4.914769763108379,
        4.91479074222186,
        4.914811244537306,
        4.914832223650787,
        4.9148532027642675,
        4.914873705079715,
        4.914894684193195,
        4.914915186508642,
        4.914936165622122,
        4.914957144735602,
        4.91497764705105,
        4.91499862616453,
        4.915019605278011,
        4.915040107593457,
        4.915061086706938,
        4.9150815890223845,
        4.9151025681358655,
        4.915123070451312,
        4.915144049564793,
        4.915165028678273,
        4.91518553099372,
        4.9152065101072,
        4.915227012422648,
        4.915247991536128,
        4.915268493851575,
        4.915289472965055,
        4.915310452078536,
        4.9153309543939825,
        4.915351933507464,
        4.91537243582291,
        4.915393414936391,
        4.915413917251837,
        4.915434896365318,
        4.9154553986807645,
        4.915476377794246,
        4.915496880109692,
        4.915517859223173,
        4.915538361538619,
        4.9155593406521,
        4.915579842967547,
        4.915600822081028,
        4.915621324396474,
        4.915642303509955,
        4.915662805825401,
        4.915683784938882,
        4.915704287254329,
        4.91572526636781,
        4.915745768683256,
        4.915766747796737,
        4.915787250112184,
        4.915808229225664,
        4.915891192083519,
        4.915911694398966,
        4.9159326735124464,
        4.915953175827894,
        4.91597367814334,
        4.915994657256821,
        4.916015159572267,
        4.916036138685748,
        4.9160566410011945,
        4.916077620114676,
        4.916098122430122,
        4.916118624745569,
        4.916139603859049,
        4.916160106174496,
        4.916181085287977,
        4.916201587603424,
        4.916222089918871,
        4.916243069032351,
        4.916263571347798,
        4.916284550461278,
        4.916305052776726,
        4.916325555092173,
        4.916346534205653,
        4.9163670365211,
        4.91638801563458,
        4.916408517950027,
        4.916429020265474,
        4.916449999378955,
        4.916470501694401,
        4.916491004009848,
        4.916511983123328,
        4.9165324854387755,
        4.916552987754223,
        4.916573966867703,
        4.91659446918315,
        4.916614971498596,
        4.916635950612077,
        4.916656452927524,
        4.916676955242971,
        4.916697934356451,
        4.916718436671898,
        4.916738938987345,
        4.9167599181008255,
        4.916780420416273,
        4.916800922731719,
        4.9168219018452,
        4.916842404160647,
        4.916862906476093,
        4.9168834087915405,
        4.916904387905021,
        4.916924890220468,
        4.916945392535915,
        4.916965894851361,
        4.916986873964842,
        4.917007376280289,
        4.917027878595736,
        4.917048857709216,
        4.917069360024663,
        4.91708986234011,
        4.9171103646555565,
        4.917131343769038,
        4.917151846084484,
        4.917172348399931,
        4.917192850715378,
        4.917213353030824,
        4.9172343321443055,
        4.917254834459752,
        4.917275336775199,
        4.917295839090646,
        4.917316818204126,
        4.917337320519573,
        4.91735782283502,
        4.917378325150467,
        4.917398827465914,
        4.917419806579394,
        4.917440308894841,
        4.917460811210288,
        4.917481313525735,
        4.917501815841182,
        4.917522794954662,
        4.917543297270109,
        4.917563799585556,
        4.917584301901003,
        4.91760480421645,
        4.917625306531897,
        4.917646285645377,
        4.917666787960824,
        4.9176872902762705,
        4.917707792591718,
        4.917728294907165,
        4.917748797222611,
        4.917769299538058,
        4.917790278651538,
        4.9178107809669855,
        4.917831283282433,
        4.917851785597879,
        4.917872287913326,
        4.917892790228773,
        4.9179132925442195,
        4.917933794859667,
        4.917954297175114,
        4.917975276288594,
        4.917995778604041,
        4.918016280919488,
        4.9180367832349345,
        4.918057285550382,
        4.918077787865829,
        4.918098290181275,
        4.918118792496722,
        4.918139294812169,
        4.918159797127616,
        4.918180299443063,
        4.91820080175851,
        4.91822178087199,
        4.918242283187437,
        4.9182627855028835,
        4.918283287818331,
        4.918303790133778,
        4.918324292449224,
        4.918344794764671,
        4.918365297080118,
        4.918385799395565,
        4.918406301711012,
        4.918426804026459,
        4.918447306341905,
        4.918467808657352,
        4.9184883109727995,
        4.918508813288247,
        4.918529315603693,
        4.91854981791914,
        4.918570320234587,
        4.918590822550033,
        4.918611324865481,
        4.918631827180928,
        4.918652329496374,
        4.918672831811821,
        4.918693334127268,
        4.9187138364427145,
        4.918734338758162,
        4.918754841073609,
        4.918775343389055,
        4.918795845704502,
        4.918816348019949,
        4.918836850335396,
        4.918857352650843,
        4.91887785496629,
        4.918898357281736,
        4.918918382799149,
        4.9189388851145965,
        4.918959387430044,
        4.91897988974549,
        4.919000392060937,
        4.919020894376384,
        4.919041396691831,
        4.919061899007278,
        4.919082401322725,
        4.919102903638172,
        4.919123405953618,
        4.919143908269065,
        4.9191639337864785,
        4.919184436101926,
        4.919204938417372,
        4.919225440732819,
        4.919245943048266,
        4.9192664453637125,
        4.91928694767916,
        4.919307449994607,
        4.919327952310053,
        4.919347977827466,
        4.919368480142913,
        4.9193889824583605,
        4.919409484773807,
        4.919429987089254,
        4.919450489404701,
        4.919470991720147,
        4.9194910172375605,
        4.919511519553008,
        4.919532021868455,
        4.919552524183901,
        4.919573026499348,
        4.919593528814795,
        4.919613554332209,
        4.919634056647656,
        4.919654558963102,
        4.919675061278549,
        4.919695563593996,
        4.9197155891114095,
        4.919736091426856,
        4.919756593742303,
        4.91977709605775,
        4.919797598373196,
        4.9198176238906095,
        4.919838126206057,
        4.919858628521504,
        4.91987913083695,
        4.919899633152397,
        4.91991965866981,
        4.9199401609852575,
        4.919960663300704,
        4.919981165616151,
        4.920001191133564,
        4.920021693449011,
        4.920042195764458,
        4.920062698079905,
        4.920082723597318,
        4.920103225912765,
        4.920123728228211,
        4.9201442305436585,
        4.920164256061072,
        4.920184758376519,
        4.920205260691966,
        4.920225286209379,
        4.920245788524825,
        4.920266290840273,
        4.92028679315572,
        4.920306818673133,
        4.920327320988579,
        4.920347823304026,
        4.9203678488214395,
        4.920388351136887,
        4.920408853452333,
        4.920428878969746,
        4.920449381285193,
        4.92046988360064,
        4.920490385916087,
        4.9205104114335,
        4.920530913748947,
        4.920551416064394,
        4.920571441581807,
        4.920591943897254,
        4.920612446212701,
        4.920632471730114,
        4.920652974045561,
        4.920672999562974,
        4.9206935018784215,
        4.920714004193868,
        4.920734029711281,
        4.920754532026728,
        4.920775034342175,
        4.920795059859588,
        4.920815562175035,
        4.920835587692448,
        4.920856090007895,
        4.920876592323342,
        4.920896617840755,
        4.920917120156202,
        4.920937622471649,
        4.920957647989062,
        4.920978150304509,
        4.920998175821922,
        4.921018678137369,
        4.921038703654782,
        4.921059205970229,
        4.921079708285676,
        4.921099733803089,
        4.9211202361185356,
        4.921140261635949,
        4.921160763951396,
        4.921180789468809,
        4.921201291784256,
        4.921221794099703,
        4.921241819617117,
        4.921262321932563,
        4.921282347449976,
        4.921302849765423,
        4.921322875282836,
        4.9213433775982836,
        4.921363403115697,
        4.921383905431143,
        4.921403930948556,
        4.921424433264003,
        4.921444458781417,
        4.921464961096864,
        4.921484986614277,
        4.921505488929723,
        4.921525514447136,
        4.9215460167625835,
        4.921566042279997,
        4.921586544595444,
        4.921606570112857,
        4.921627072428303,
        4.9216470979457165,
        4.921667600261164,
        4.921687625778577,
        4.921708128094024,
        4.921728153611437,
        4.9217486559268835,
        4.921768681444298,
        4.921789183759744,
        4.921809209277157,
        4.92182923479457,
        4.921849737110017,
        4.921869762627431,
        4.921890264942878,
        4.921910290460291,
        4.921930792775737,
        4.92195081829315,
        4.9219713206085975,
        4.921991346126011,
        4.922011371643424,
        4.922031873958871,
        4.922051899476284,
        4.922072401791731,
        4.922092427309144,
        4.922112452826557,
        4.922132955142004,
        4.922152980659417,
        4.9221734829748645,
        4.922193508492278,
        4.922213534009691,
        4.922234036325137,
        4.92225406184255,
        4.9222740873599635,
        4.922294589675411,
        4.922314615192824,
        4.922335117508271,
        4.922355143025684,
        4.922375168543097,
        4.922395670858545,
        4.922415696375958,
        4.922435721893371,
        4.922456224208817,
        4.92247624972623,
        4.922496275243644,
        4.922516777559091,
        4.922536803076504,
        4.922556828593917,
        4.922577330909364,
        4.9225973564267775,
        4.922617381944191,
        4.922637884259637,
        4.92265790977705,
        4.922677935294463,
        4.922697960811877,
        4.922718463127324,
        4.922738488644737,
        4.92275851416215,
        4.922779016477597,
        4.9227990419950105,
        4.922819067512424,
        4.92283956982787,
        4.922859595345283,
        4.922879620862697,
        4.9228996463801105,
        4.922920148695557,
        4.92294017421297,
        4.922960199730383,
        4.922980225247796,
        4.9230007275632435,
        4.923020753080657,
        4.92304077859807,
        4.923060804115483,
        4.92308130643093,
        4.923101331948343,
        4.923121357465757,
        4.92314138298317,
        4.923161408500583,
        4.923181910816029,
        4.9232019363334425,
        4.923221961850856,
        4.923241987368269,
        4.923262489683716,
        4.923282515201129,
        4.9233025407185425,
        4.923322566235956,
        4.923342591753369,
        4.923363094068816,
        4.923383119586229,
        4.923403145103642,
        4.923423170621056,
        4.923443196138469,
        4.923463221655882,
        4.923483723971329,
        4.923503749488742,
        4.923523775006156,
        4.923543800523569,
        4.923563826040982,
        4.923583851558395,
        4.923604353873841,
        4.923624379391255,
        4.923644404908668,
        4.923664430426081,
        4.923684455943494,
        4.9237044814609074,
        4.923724506978321,
        4.923744532495734,
        4.923765034811181,
        4.923785060328594,
        4.923805085846007,
        4.923825111363421,
        4.923845136880834,
        4.923865162398247,
        4.92388518791566,
        4.923905213433073,
        4.923925238950487,
        4.923945741265934,
        4.923965766783347,
        4.92398579230076,
        4.924005817818173,
        4.924025843335587,
        4.924045868853,
        4.924065894370413,
        4.924085919887826,
        4.924105945405239,
        4.924125970922653,
        4.924145996440066,
        4.924166021957479,
        4.924186047474892,
        4.924206072992305,
        4.924226098509719,
        4.924246124027132,
        4.924266149544545,
        4.924286651859992,
        4.924306677377405,
        4.9243267028948186,
        4.924346728412232,
        4.924366753929645,
        4.924386779447058,
        4.924406804964471,
        4.924426830481885,
        4.924446855999298,
        4.924466881516711,
        4.924486907034124,
        4.924506932551537,
        4.924526958068951,
        4.924546983586364,
        4.924567009103777,
        4.92458703462119,
        4.924607060138603,
        4.924627085656017,
        4.92464711117343,
        4.924666659892809,
        4.924686685410222,
        4.9247067109276355,
        4.924726736445049,
        4.924746761962462,
        4.924766787479875,
        4.924786812997288,
        4.9248068385147015,
        4.924826864032115,
        4.924846889549528,
        4.924866915066941,
        4.924886940584354,
        4.9249069661017675,
        4.924926991619181,
        4.924947017136594,
        4.924967042654007,
        4.92498706817142,
        4.9250066168908,
        4.925026642408214,
        4.925046667925627,
        4.92506669344304,
        4.925086718960453,
        4.9251067444778664,
        4.92512676999528,
        4.925146795512693,
        4.925166821030106,
        4.925186369749485,
        4.9252063952668985,
        4.925226420784312,
        4.925246446301725,
        4.925266471819138,
        4.925286497336551,
        4.9253065228539645,
        4.925326548371378,
        4.925346097090758,
        4.925366122608171,
        4.925386148125584,
        4.9254061736429975,
        4.925426199160411,
        4.925446224677824,
        4.925465773397203,
        4.925485798914616,
        4.9255058244320296,
        4.925525849949443,
        4.925545875466856,
        4.925565900984269,
        4.925585449703648,
        4.9256054752210625,
        4.925625500738476,
        4.925645526255889,
        4.925665551773302,
        4.925685100492681,
        4.925705126010095,
        4.925725151527508,
        4.925745177044921,
        4.925765202562334,
        4.9257847512817134,
        4.925804776799127,
        4.92582480231654,
        4.925844827833953,
        4.925864376553333,
        4.925884402070746,
        4.92590442758816,
        4.925924453105573,
        4.925944001824952,
        4.925964027342365,
        4.9259840528597785,
        4.926004078377192,
        4.926023627096571,
        4.926043652613984,
        4.926063678131397,
        4.9260837036488105,
        4.926103252368191,
        4.926123277885604,
        4.926143303403017,
        4.926162852122396,
        4.9261828776398096,
        4.926202903157223,
        4.926222928674636,
        4.926242477394016,
        4.926262502911429,
        4.9262825284288425,
        4.926302077148222,
        4.926322102665635,
        4.926342128183048,
        4.926361676902427,
        4.926381702419841,
        4.926401727937254,
        4.926421276656634,
        4.926441302174047,
        4.92646132769146,
        4.92648087641084,
        4.926500901928253,
        4.926520927445666,
        4.926540476165045,
        4.9265605016824585,
        4.926580527199872,
        4.926600075919252,
        4.926620101436665,
        4.926640126954078,
        4.9266596756734575,
        4.926679701190871,
        4.926699726708284,
        4.926719275427664,
        4.926739300945077,
        4.9267588496644565,
        4.92677887518187,
        4.926798900699283,
        4.926818449418662,
        4.926838474936075,
        4.9268580236554556,
        4.926878049172869,
        4.926898074690282,
        4.926917623409661,
        4.926937648927074,
        4.926957197646454,
        4.926977223163867,
        4.926996771883247,
        4.92701679740066,
        4.927036822918073,
        4.927056371637453,
        4.927076397154866,
        4.927095945874245,
        4.927115971391658,
        4.9271355201110385,
        4.927155545628452,
        4.927175571145865,
        4.927195119865244,
        4.927215145382657,
        4.927234694102037,
        4.927254719619451,
        4.92727426833883,
        4.927294293856243,
        4.927313842575622,
        4.927333868093036,
        4.927353416812416,
        4.927373442329829,
        4.927392991049208,
        4.9274130165666215,
        4.927432565286001,
        4.927452590803414,
        4.927472139522794,
        4.927492165040207,
        4.9275117137595865,
        4.927531739277,
        4.927551287996379,
        4.927571313513792,
        4.927590862233172,
        4.9276108877505855,
        4.927630436469965,
        4.927650461987378,
        4.927670010706757,
        4.927689559426137,
        4.927709584943551,
        4.92772913366293,
        4.927749159180343,
        4.927768707899722,
        4.927788733417136,
        4.927808282136516,
        4.927828307653929,
        4.927847856373308,
        4.927867405092688,
        4.9278874306101015,
        4.927906979329481,
        4.927927004846894,
        4.927946553566273,
        4.927966579083686,
        4.9279861278030666,
        4.928005676522446,
        4.928025702039859,
        4.928045250759238,
        4.9280652762766515,
        4.928084824996032,
        4.928104373715411,
        4.928124399232824,
        4.928143947952203,
        4.9281634966715835,
        4.928183522188997,
        4.928203070908376,
        4.928223096425789,
        4.928242645145168,
        4.928262193864549,
        4.928282219381962,
        4.928301768101341,
        4.92832131682072,
        4.928341342338134,
        4.928360891057514,
        4.928380439776893,
        4.928400465294306,
        4.928420014013686,
        4.9284395627330655,
        4.928459588250479,
        4.928479136969858,
        4.928498685689238,
        4.928518711206651,
        4.928538259926031,
        4.92855780864541,
        4.928577834162823,
        4.928597382882203,
        4.928616931601582,
        4.928636957118996,
        4.928656505838375,
        4.928676054557755,
        4.928695603277134,
        4.9287156287945475,
        4.928735177513927,
        4.928754726233307,
        4.92877475175072,
        4.928794300470099,
        4.928813849189479,
        4.928833397908859,
        4.928853423426272,
        4.928872972145651,
        4.928892520865031,
        4.928912069584411,
        4.928932095101824,
        4.928951643821203,
        4.928971192540583,
        4.9289907412599625,
        4.929010766777376,
        4.929030315496755,
        4.929049864216135,
        4.929069412935514,
        4.929088961654894,
        4.929108987172307,
        4.929128535891687,
        4.929148084611066,
        4.9291676333304455,
        4.929187658847859,
        4.929207207567239,
        4.929226756286618,
        4.929246305005997,
        4.9292658537253775,
        4.929285879242791,
        4.92930542796217,
        4.929324976681549,
        4.929344525400929,
        4.929364074120309,
        4.929383622839688,
        4.929403648357101,
        4.929423197076481,
        4.9294427457958605,
        4.929462294515241,
        4.92948184323462,
        4.929501391953999,
        4.929521417471412,
        4.9295409661907925,
        4.929560514910172,
        4.929580063629551,
        4.929599612348931,
        4.92961916106831,
        4.92963870978769,
        4.92965825850707,
        4.929678284024483,
        4.929697832743862,
        4.929717381463242,
        4.929736930182622,
        4.929756478902001,
        4.92977602762138,
        4.92979557634076,
        4.92981512506014,
        4.929834673779519,
        4.929854699296932,
        4.929874248016312,
        4.9298937967356915,
        4.929913345455071,
        4.929932894174451,
        4.92995244289383,
        4.929971991613209,
        4.92999154033259,
        4.930011089051969,
        4.930030637771349,
        4.930050186490728,
        4.9300697352101075,
        4.930089283929488,
        4.930108832648867,
        4.93012885816628,
        4.930148406885659,
        4.9301679556050395,
        4.930187504324419,
        4.930207053043798,
        4.930226601763178,
        4.930246150482557,
        4.930265699201937,
        4.930285247921317,
        4.930304796640696,
        4.930324345360075,
        4.9303438940794555,
        4.930363442798835,
        4.930382991518214,
        4.930402540237594,
        4.930422088956973,
        4.930441637676353,
        4.930461186395733,
        4.930480735115112,
        4.930500283834491,
        4.9305198325538715,
        4.930539381273251,
        4.930558929992631,
        4.93057847871201,
        4.930598027431389,
        4.93061757615077,
        4.930637124870149,
        4.930656673589528,
        4.930675745510874,
        4.9306952942302535,
        4.930714842949634,
        4.930734391669013,
        4.930753940388392,
        4.930773489107772,
        4.930793037827152,
        4.930812586546531,
        4.930832135265911,
        4.93085168398529,
        4.9308712327046695,
        4.93089078142405,
        4.930910330143429,
        4.930929878862808,
        4.930949427582188,
        4.930968499503534,
        4.930988048222914,
        4.931007596942293,
        4.931027145661672,
        4.9310466943810525,
        4.931066243100432,
        4.931085791819812,
        4.931105340539191,
        4.93112488925857,
        4.931143961179917,
        4.931163509899296,
        4.931183058618676,
        4.931202607338055,
        4.9312221560574345,
        4.931241704776815,
        4.931261253496194,
        4.93128032541754,
        4.931299874136919,
        4.931319422856299,
        4.931338971575679,
        4.931358520295058,
        4.931378069014437,
        4.9313976177338175,
        4.931416689655163,
        4.931436238374543,
        4.931455787093922,
        4.931475335813301,
        4.931494884532682,
        4.931513956454027,
        4.931533505173407,
        4.931553053892786,
        4.931572602612166,
        4.931592151331546,
        4.931611223252891,
        4.931630771972271,
        4.93165032069165,
        4.931669869411031,
        4.93168941813041,
        4.931708490051756,
        4.931728038771135,
        4.931747587490515,
        4.931767136209895,
        4.93178620813124,
        4.93180575685062,
        4.931825305569999,
        4.931844854289379,
        4.931864403008759,
        4.931883474930104,
        4.931903023649484,
        4.9319225723688636,
        4.931942121088243,
        4.931961193009589,
        4.931980741728968,
        4.932000290448348,
        4.932019362369694,
        4.932038911089074,
        4.932058459808453,
        4.932078008527832,
        4.932097080449179,
        4.932116629168558,
        4.932136177887938,
        4.932155249809283,
        4.9321747985286635,
        4.932194347248043,
        4.932213895967423,
        4.932232967888768,
        4.932252516608148,
        4.932272065327528,
        4.932291137248874,
        4.932310685968253,
        4.932330234687632,
        4.9323493066089785,
        4.932368855328358,
        4.932388404047738,
        4.932407475969083,
        4.932427024688463,
        4.932446573407843,
        4.932465645329189,
        4.932485194048568,
        4.932504742767947,
        4.932523814689294,
        4.932543363408673,
        4.932562912128053,
        4.932581984049398,
        4.932601532768778,
        4.932620604690124,
        4.932640153409504,
        4.932659702128883,
        4.932678774050229,
        4.932698322769609,
        4.932717871488989,
        4.932736943410334,
        4.932756492129714,
        4.932833733411165,
        4.933007764693446,
        4.9330273134128255,
        4.933046385334172,
        4.933065934053551,
        4.933085482772931,
        4.9331045546942764,
        4.933162724054382,
        4.933181795975727,
        4.933278585976558,
        4.933297657897905,
        4.933317206617284,
        4.93333627853863,
        4.933355827258009,
        4.933374899179356,
        4.933394447898735,
        4.933413519820081,
        4.93343306853946,
        4.9334521404608065,
        4.933471689180186,
        4.933490761101532,
        4.933529381742257,
        4.933568002382983,
        4.933626171743088,
        4.933645243664434,
        4.933664792383813,
        4.93374155686723,
        4.93376110558661,
        4.9337801775079555,
        4.934126809678418,
        4.934146358397798,
        4.934165430319143,
        4.934319436084012,
        4.934338508005357,
        4.934396200567429,
        4.934415749286809,
        4.934434821208154,
        4.934453893129501,
        4.93447344184888,
        4.934492513770226,
        4.934511585691572,
        4.9345311344109515,
        4.934550206332298,
        4.934569278253643,
        4.934588350174989,
        4.9346078988943685,
        4.934626970815715,
        4.934646042737061,
        4.93466559145644,
        4.934684663377786,
        4.934703735299132,
        4.934722807220478,
        4.934742355939857,
        4.934761427861203,
        4.9347804997825495,
        4.934800048501929,
        4.934819120423275,
        4.93483819234462,
        4.9348572642659665,
        4.934876812985346,
        4.934895884906692,
        4.934914956828038,
        4.934934028749384,
        4.934953577468764,
        4.93497264939011,
        4.934991721311455,
        4.935010793232801,
        4.9350298651541475,
        4.935049413873527,
        4.935068485794873,
        4.935087557716218,
        4.9351066296375645,
        4.935125701558911,
        4.93514525027829,
        4.935164322199636,
        4.9351833941209815,
        4.935202466042328,
        4.935221537963674,
        4.935241086683053,
        4.935260158604399,
        4.935279230525745,
        4.935298302447091,
        4.935317374368437,
        4.935336923087816,
        4.9353559950091626,
        4.935375066930508,
        4.935394138851854,
        4.9354132107732,
        4.935432282694546,
        4.935451831413926,
        4.935470903335272,
        4.935489975256617,
        4.9355090471779635,
        4.93552811909931,
        4.935547191020655,
        4.935566262942001,
        4.93558581166138,
        4.935604883582727,
        4.935623955504073,
        4.935643027425418,
        4.935662099346764,
        4.935681171268111,
        4.935700243189456,
        4.935719315110802,
        4.935738387032148,
        4.9357579357515275,
        4.935777007672874,
        4.935796079594219,
        4.935815151515565,
        4.9358342234369115,
        4.935853295358257,
        4.935872367279603,
        4.935891439200949,
        4.9359105111222945,
        4.935929583043641,
        4.935948654964987,
        4.935967726886332,
        4.935987275605712,
        4.936006347527059,
        4.936025419448404,
        4.93604449136975,
        4.936063563291096,
        4.936082635212442,
        4.936101707133788,
        4.936120779055134,
        4.936139850976479,
        4.9361589228978255,
        4.936177994819172,
        4.936197066740517,
        4.936216138661863,
        4.9362352105832095,
        4.936254282504555,
        4.936273354425901,
        4.936292426347247,
        4.9363114982685925,
        4.936330570189939,
        4.936349642111285,
        4.93636871403263,
        4.936387785953976,
        4.936406857875323,
        4.936425929796668,
        4.936445001718014,
        4.93646407363936,
        4.936483145560706,
        4.936502217482052,
        4.936521289403398,
        4.936540361324744,
        4.93655943324609,
        4.936578505167436,
        4.936597577088782,
        4.936616649010127,
        4.9366357209314735,
        4.93665479285282,
        4.936673864774165,
        4.936692936695511,
        4.936712008616857,
        4.936731080538203,
        4.936749675661515,
        4.936768747582861,
        4.936787819504207,
        4.936806891425553,
        4.936825963346899,
        4.936845035268245,
        4.9368641071895905,
        4.936883179110937,
        4.936902251032283,
        4.936921322953628,
        4.936940394874974,
        4.936959466796321,
        4.936978061919633,
        4.936997133840978,
        4.937016205762324,
        4.937035277683671,
        4.937054349605016,
        4.937073421526362,
        4.937092493447708,
        4.9371115653690545,
        4.937130160492367,
        4.937149232413712,
        4.937168304335058,
        4.9371873762564045,
        4.93720644817775,
        4.937225520099096,
        4.937244592020442,
        4.9372636639417875,
        4.9372822590651,
        4.937301330986446,
        4.937320402907792,
        4.9373394748291375,
        4.937358546750484,
        4.93737761867183,
        4.937396213795142,
        4.9374152857164875,
        4.937434357637834,
        4.93745342955918,
        4.937472501480525,
        4.9374910966038374,
        4.937510168525184,
        4.93752924044653,
        4.937548312367875,
        4.937567384289221,
        4.937585979412534,
        4.93760505133388,
        4.937624123255225,
        4.937643195176571,
        4.937662267097918,
        4.93768086222123,
        4.937699934142576,
        4.937719006063921,
        4.9377380779852675,
        4.937757149906614,
        4.937775745029926,
        4.937794816951271,
        4.9378138888726175,
        4.937832960793964,
        4.937851555917276,
        4.937870627838621,
        4.9378896997599675,
        4.937908771681314,
        4.937927366804626,
        4.937946438725971,
        4.9379655106473175,
        4.93798410577063,
        4.938003177691976,
        4.938022249613321,
        4.9380413215346675,
        4.93805991665798,
        4.938078988579326,
        4.938098060500671,
        4.9381166556239835,
        4.93813572754533,
        4.938154799466676,
        4.938173871388021,
        4.938192466511334,
        4.93821153843268,
        4.938230610354026,
        4.938249205477338,
        4.938268277398684,
        4.93828734932003,
        4.938305944443342,
        4.938325016364688,
        4.938344088286034,
        4.938362683409347,
        4.938381755330692,
        4.938400827252038,
        4.93841942237535,
        4.938438494296697,
        4.938457566218042,
        4.938476161341354,
        4.9384952332627,
        4.9385143051840465,
        4.938532900307359,
        4.938551972228704,
        4.93857104415005,
        4.938589639273363,
        4.938608711194709,
        4.938627306318021,
        4.938646378239366,
        4.938665450160713,
        4.938684045284025,
        4.938703117205371,
        4.938721712328683,
        4.9387407842500295,
        4.938759856171375,
        4.938778451294687,
        4.938797523216033,
        4.9388161183393455,
        4.938835190260692,
        4.938854262182037,
        4.938872857305349,
        4.9388919292266955,
        4.938910524350008,
        4.938929596271354,
        4.938948191394666,
        4.9389672633160115,
        4.938986335237358,
        4.93900493036067,
        4.939024002282016,
        4.9390425974053285,
        4.939061669326674,
        4.939080264449986,
        4.939099336371332,
        4.9391179314946445,
        4.939137003415991,
        4.939156075337336,
        4.939174670460648,
        4.9391937423819945,
        4.939212337505307,
        4.939231409426653,
        4.939250004549965,
        4.9392690764713105,
        4.939287671594624,
        4.939306743515969,
        4.939325338639281,
        4.9393444105606275,
        4.93936300568394,
        4.939382077605286,
        4.939400672728598,
        4.9394197446499435,
        4.939438339773256,
        4.939457411694602,
        4.939476006817914,
        4.93949507873926,
        4.939513673862573,
        4.939532745783918,
        4.93955134090723,
        4.9395699360305425,
        4.939589007951889,
        4.939607603075201,
        4.939626674996547,
        4.939645270119859,
        4.939664342041205,
        4.939682937164517,
        4.939702009085863,
        4.9397206042091755,
        4.939739676130522,
        4.939758271253834,
        4.939776866377146,
        4.9397959382984915,
        4.939814533421804,
        4.93983360534315,
        4.939852200466462,
        4.939871272387808,
        4.939889867511121,
        4.939908462634433,
        4.939927534555779,
        4.939946129679091,
        4.939965201600437,
        4.939983796723749,
        4.940002391847061,
        4.9400214637684075,
        4.94004005889172,
        4.940058654015032,
        4.940077725936378,
        4.94009632105969,
        4.940115392981036,
        4.940133988104348,
        4.94015258322766,
        4.9401716551490065,
        4.940190250272319,
        4.940208845395631,
        4.940227917316977,
        4.9402465124402895,
        4.940265584361635,
        4.940284179484947,
        4.940302774608259,
        4.9403218465296055,
        4.940340441652918,
        4.94035903677623,
        4.940378108697576,
        4.9403967038208885,
        4.940415298944201,
        4.940434370865547,
        4.940452965988859,
        4.9404715611121715,
        4.940490156235484,
        4.940509228156829,
        4.940527823280141,
        4.9405464184034535,
        4.9405654903248,
        4.940584085448112,
        4.940602680571424,
        4.9406217524927705,
        4.940640347616083,
        4.940658942739395,
        4.940677537862707,
        4.940696609784053,
        4.940715204907365,
        4.940733800030677,
        4.940752395153989,
        4.9407714670753355,
        4.940790062198648,
        4.94080865732196,
        4.940827729243306,
        4.9408463243666185,
        4.940864919489931,
        4.940883514613243,
        4.940902586534588,
        4.9409211816579015,
        4.940939776781214,
        4.940958371904526,
        4.940976967027838,
        4.940996038949184,
        4.941014634072496,
        4.941033229195808,
        4.94105182431912,
        4.941070896240467,
        4.941089491363779,
        4.941108086487091,
        4.941126681610403,
        4.941145276733716,
        4.941164348655062,
        4.941182943778374,
        4.941201538901686,
        4.941220134024999,
        4.941238729148311,
        4.941257801069656,
        4.941276396192968,
        4.941294991316281,
        4.941313586439593,
        4.941332181562905,
        4.9413507766862175,
        4.941369848607564,
        4.941388443730876,
        4.941407038854188,
        4.9414256339775005,
        4.941444229100813,
        4.941462824224125,
        4.941481896145471,
        4.941500491268783,
        4.941519086392096,
        4.941537681515408,
        4.94155627663872,
        4.9415748717620325,
        4.941593466885345,
        4.941612062008657,
        4.941631133930003,
        4.9416497290533155,
        4.941668324176628,
        4.94168691929994,
        4.941705514423252,
        4.9417241095465645,
        4.941742704669877,
        4.941761299793189,
        4.941779894916501,
        4.941798966837847,
        4.941817561961159,
        4.941836157084471,
        4.941854752207783,
        4.941873347331096,
        4.941891942454408,
        4.94191053757772,
        4.941929132701032,
        4.941947727824345,
        4.941966322947657,
        4.941984918070969,
        4.942003513194281,
        4.942022108317595,
        4.942040703440907,
        4.942059775362252,
        4.942078370485564,
        4.942096965608877,
        4.942115560732189,
        4.942134155855501,
        4.9421527509788135,
        4.942171346102126,
        4.942189941225438,
        4.94220853634875,
        4.9422271314720625,
        4.942282916841999,
        4.9423015119653115,
        4.942320107088624,
        4.942338702211936,
        4.945342053025884,
        4.948754496552703,
        4.948776429262251,
        4.948798838769832,
        4.94882077147938,
        4.948842704188928,
        4.948864636898476,
        4.948887046406057,
        4.948908979115605,
        4.948930911825153,
        4.948953321332734,
        4.948975254042282,
        4.948997186751829,
        4.9490191194613775,
        4.949041528968959,
        4.949063461678507,
        4.949085394388055,
        4.949107327097602,
        4.949129736605184,
        4.949151669314732,
        4.949173602024279,
        4.9491955347338275,
        4.949217944241409,
        4.949239876950957,
        4.949261809660505,
        4.949283742370052,
        4.9493056750796,
        4.949328084587181,
        4.949350017296729,
        4.949371950006277,
        4.949393882715825,
        4.949415815425373,
        4.949438224932954,
        4.949460157642502,
        4.94948209035205,
        4.949504023061597,
        4.949525955771145,
        4.949548365278726,
        4.9495702979882745,
        4.949592230697823,
        4.94961416340737,
        4.949636096116918,
        4.949658028826466,
        4.949680438334047,
        4.949702371043595,
        4.949724303753143,
        4.9497462364626905,
        4.949768169172239,
        4.949790101881787,
        4.949812034591334,
        4.949833967300882,
        4.949856376808463,
        4.949878309518011,
        4.949900242227559,
        4.9499221749371065,
        4.949944107646655,
        4.949966040356203,
        4.94998797306575,
        4.950009905775298,
        4.950031838484846,
        4.950054247992427,
        4.950076180701975,
        4.9500981134115225,
        4.950120046121071,
        4.950141978830619,
        4.950163911540166,
        4.950185844249714,
        4.950207776959262,
        4.95022970966881,
        4.950251642378357,
        4.950273575087905,
        4.9502955077974535,
        4.950317440507001,
        4.950339373216549,
        4.950361305926097,
        4.950383238635644,
        4.950405171345192,
        4.95042710405474,
        4.950449513562321,
        4.9504714462718695,
        4.950493378981417,
        4.950515311690965,
        4.950537244400513,
        4.95055917711006,
        4.950581109819608,
        4.950603042529156,
        4.9506249752387035,
        4.950646907948252,
        4.9506688406578,
        4.950690773367347,
        4.950712706076895,
        4.950734161988409,
        4.950756094697957,
        4.950778027407505,
        4.9507999601170525,
        4.950821892826601,
        4.950843825536149,
        4.950865758245696,
        4.950887690955244,
        4.950909623664792,
        4.950931556374339,
        4.950953489083887,
        4.950975421793435,
        4.950997354502983,
        4.951019287212531,
        4.951041219922079,
        4.951063152631626,
        4.951085085341174,
        4.951106541252688,
        4.951128473962236,
        4.9511504066717835,
        4.951172339381332,
        4.95119427209088,
        4.951216204800427,
        4.951238137509975,
        4.951260070219523,
        4.95128200292907,
        4.951303935638618,
        4.9513253915501325,
        4.951347324259681,
        4.951369256969229,
        4.951391189678776,
        4.951413122388324,
        4.951435055097872,
        4.951456987807419,
        4.951478443718933,
        4.9515003764284815,
        4.95152230913803,
        4.951544241847577,
        4.951566174557125,
        4.951588107266673,
        4.951609563178187,
        4.951631495887734,
        4.951653428597282,
        4.9516753613068305,
        4.951697294016378,
        4.951719226725926,
        4.95174068263744,
        4.9518498693871456,
        4.951871802096694,
        4.951893734806241,
        4.951980988846398,
        4.95270000028114,
        4.952721932990688,
        4.952874031563421,
        4.952895964272969,
        4.952917420184483,
        4.952961285603579,
        4.9530046742246405,
        4.953091451466765,
        4.953113384176312,
        4.95328693866056,
        4.953308871370108,
        4.9533303272816225,
        4.953525814475418,
        4.953547270386932,
        4.95356920309648,
        4.953590659007994,
        4.953612591717542,
        4.953634047629056,
        4.953786146201789,
        4.9538076021133035,
        4.953894379355428,
        4.953915835266942,
        4.954435545123618,
        4.95447893374468,
        4.954500389656194,
        4.954521845567708,
        4.95456523418877,
        4.954586690100284,
        4.954630078721347,
        4.954651534632861,
        4.9547597677864985,
        4.954781223698013,
        4.954846068230589,
        4.954867524142103,
        4.954888980053617,
        4.954910912763165,
        4.95493236867468,
        4.954953824586194,
        4.954975280497708,
        4.954997213207255,
        4.955018669118769,
        4.955040125030283,
        4.9550615809417975,
        4.95510496956286,
        4.955126425474374,
        4.955147881385888,
        4.955169814095436,
        4.955256114539527,
        4.955277570451041,
        4.955341938185583,
        4.95536387089513,
        4.955385326806645,
        4.955406782718159,
        4.955428238629673,
        4.955471150452701,
        4.955493083162249,
        4.955514539073763,
        4.9555359949852775,
        4.955578906808306,
        4.95560036271982,
        4.955622295429368,
        4.955643751340882,
        4.955665207252396,
        4.9556866631639105,
        4.955708119075425,
        4.955729574986939,
        4.955751030898453,
        4.955772963608001,
        4.955794419519515,
        4.955815875431029,
        4.9558373313425435,
        4.955858787254058,
        4.955880243165572,
        4.955901699077086,
        4.9559231549886,
        4.955944610900114,
        4.955966543609661,
        4.9559879995211755,
        4.95600945543269,
        4.956030911344204,
        4.956052367255718,
        4.956073823167232,
        4.956095279078746,
        4.95611673499026,
        4.9561381909017745,
        4.956159646813289,
        4.956181102724803,
        4.956224014547831,
        4.956245470459346,
        4.95626692637086,
        4.9562888590804075,
        4.956310314991922,
        4.956331770903436,
        4.95635322681495,
        4.956374682726464,
        4.956396138637978,
        4.956417594549492,
        4.956460506372521,
        4.956481962284035,
        4.956503418195549,
        4.956524874107063,
        4.956546330018577,
        4.956567785930091,
        4.9565892418416055,
        4.95661069775312,
        4.956632153664634,
        4.956653609576148,
        4.956696521399176,
        4.95671797731069,
        4.956760412335686,
        4.9567818682472,
        4.956824780070228,
        4.956846235981742,
        4.956867691893256,
        4.956910603716285,
        4.956974971450827,
        4.956996427362341,
        4.957017883273855,
        4.9570393391853695,
        4.957081774210364,
        4.957124686033392,
        4.957146141944906,
        4.9576889765062155,
        4.95887453481688,
        4.9588955139303605,
        4.958916969841875,
        4.958937948955356,
        4.9590442749168595,
        4.959065730828374,
        4.959087186739888,
        4.959108165853368,
        4.9591720567898765,
        4.959193035903358,
        4.959214491814872,
        4.959235470928352,
        4.95929936186486,
        4.959320817776375,
        4.959341796889856,
        4.95936325280137,
        4.95938423191485,
        4.959405687826364,
        4.959426666939844,
        4.9594481228513585,
        4.95946910196484,
        4.959490557876354,
        4.959511536989834,
        4.959532992901348,
        4.9595964070398235,
        4.959617862951338,
        4.959638842064818,
        4.959660297976332,
        4.959681277089813,
        4.959702256203293,
        4.9597237121148074,
        4.959744691228288,
        4.959766147139802,
        4.959787126253283,
        4.959808582164797,
        4.959829561278277,
        4.959851017189791,
        4.959871996303272,
        4.959892975416753,
        4.959914431328267,
        4.959935410441747,
        4.959956866353261,
        4.959977845466741,
        4.9599993013782555,
        4.960020280491737,
        4.960041259605217,
        4.960062715516731,
        4.960083694630212,
        4.960105150541726,
        4.960126129655206,
        4.960147108768687,
        4.960168564680201,
        4.960189543793682,
        4.960210999705196,
        4.960231978818676,
        4.960252957932156,
        4.9602744138436705,
        4.960295392957152,
        4.960316372070632,
        4.960337827982146,
        4.960358807095626,
        4.960379786209107,
        4.960401242120621,
        4.960422221234102,
        4.960443200347582,
        4.960464656259096,
        4.960485635372577,
        4.960506614486057,
        4.960528070397571,
        4.960549049511052,
        4.960570028624533,
        4.960591484536047,
        4.960612463649527,
        4.960633442763008,
        4.960654898674522,
        4.9606758777880025,
        4.960696856901483,
        4.960718312812997,
        4.960739291926478,
        4.960760271039958,
        4.960781250153438,
        4.960802706064952,
        4.9608236851784335,
        4.960844664291914,
        4.960865643405394,
        4.960887099316908,
        4.960908078430389,
        4.960929057543869,
        4.9609505134553835,
        4.960971492568864,
        4.960992471682345,
        4.961013450795825,
        4.961034429909305,
        4.961055885820819,
        4.9610768649343004,
        4.961097844047781,
        4.961118823161261,
        4.961140279072775,
        4.961161258186256,
        4.961182237299736,
        4.961203216413217,
        4.961224195526698,
        4.961245651438212,
        4.961266630551692,
        4.961287609665173,
        4.961308588778653,
        4.961329567892133,
        4.961351023803648,
        4.961372002917129,
        4.961392982030609,
        4.961413961144089,
        4.96143494025757,
        4.961456396169084,
        4.9614773752825645,
        4.961498354396045,
        4.961519333509526,
        4.961540312623006,
        4.961561291736486,
        4.961582270849967,
        4.961603726761481,
        4.961624705874962,
        4.961645684988442,
        4.961666664101923,
        4.961687643215403,
        4.961708622328884,
        4.961729601442364,
        4.961751057353879,
        4.961772036467359,
        4.96179301558084,
        4.96181399469432,
        4.9618349738078,
        4.961855952921281,
        4.9618769320347615,
        4.961897911148242,
        4.961918890261723,
        4.961939869375203,
        4.961961325286717,
        4.961982304400197,
        4.9620032835136785,
        4.962024262627159,
        4.962045241740639,
        4.96206622085412,
        4.9620871999676,
        4.96210817908108,
        4.9621291581945615,
        4.962150137308042,
        4.962171116421522,
        4.962192095535003,
        4.962213074648483,
        4.962234053761963,
        4.9622550328754444,
        4.962276011988925,
        4.962296991102406,
        4.962317970215886,
        4.962338949329366,
        4.962359928442847,
        4.962380907556327,
        4.962401886669808,
        4.962422865783289,
        4.962443844896769,
        4.962464824010249,
        4.96248580312373,
        4.96250678223721,
        4.962527761350691,
        4.962548740464172,
        4.962569719577652,
        4.962590698691132,
        4.962611677804613,
        4.962632656918093,
        4.962653636031574,
        4.962674615145055,
        4.962695594258535,
        4.962716573372015,
        4.962737552485496,
        4.962758531598976,
        4.962779510712457,
        4.962800489825938,
        4.962821468939418,
        4.962842448052899,
        4.962863427166379,
        4.962884406279859,
        4.9629053853933405,
        4.962926364506821,
        4.962946866822268,
        4.962967845935748,
        4.962988825049228,
        4.963009804162709,
        4.9630307832761895,
        4.96305176238967,
        4.963072741503151,
        4.963093720616631,
        4.963114699730111,
        4.963135678843592,
        4.963156181159039,
        4.96317716027252,
        4.963198139386,
        4.96321911849948,
        4.963240097612961,
        4.963261076726441,
        4.9632820558399215,
        4.963302558155369,
        4.963323537268849,
        4.96334451638233,
        4.96336549549581,
        4.963386474609291,
        4.9634074537227715,
        4.963428432836252,
        4.963448935151699,
        4.963469914265179,
        4.96349089337866,
        4.96351187249214,
        4.9635328516056205,
        4.963553353921068,
        4.963574333034548,
        4.963595312148029,
        4.963616291261509,
        4.963637270374989,
        4.9636577726904365,
        4.963678751803917,
        4.963699730917398,
        4.963720710030878,
        4.963741689144358,
        4.963762191459805,
        4.9637831705732856,
        4.963804149686767,
        4.963825128800247,
        4.963846107913727,
        4.963866610229174,
        4.963887589342654,
        4.9639085684561355,
        4.963929547569616,
        4.963950049885063,
        4.963971028998543,
        4.963992008112024,
        4.96401251042747,
        4.9640334895409515,
        4.964054468654432,
        4.964075447767912,
        4.964095950083359,
        4.964116929196839,
        4.96413790831032,
        4.9641588874238005,
        4.964179389739248,
        4.964200368852728,
        4.964221347966208,
        4.964241850281655,
        4.964262829395135,
        4.9642838085086165,
        4.964304310824063,
        4.964325289937544,
        4.964346269051024,
        4.964366771366471,
        4.964387750479951,
        4.964408729593432,
        4.964429231908879,
        4.96445021102236,
        4.96447119013584,
        4.964491692451287,
        4.964512671564767,
        4.964533650678248,
        4.964554152993695,
        4.964575132107175,
        4.964596111220656,
        4.964616613536102,
        4.964637592649583,
        4.964658571763064,
        4.964679074078511,
        4.964700053191991,
        4.964720555507438,
        4.964741534620918,
        4.9647625137343985,
        4.964783016049846,
        4.964803995163326,
        4.964824497478773,
        4.964845476592253,
        4.964866455705734,
        4.9648869580211805,
        4.964907937134662,
        4.964928439450108,
        4.964949418563589,
        4.964970397677069,
        4.964990899992516,
        4.9650118791059965,
        4.965032381421444,
        4.965053360534924,
        4.965073862850371,
        4.965094841963851,
        4.965115821077332,
        4.9651363233927786,
        4.96515730250626,
        4.965177804821706,
        4.965198783935187,
        4.965219286250633,
        4.965240265364114,
        4.965260767679561,
        4.965281746793042,
        4.965302249108488,
        4.965323228221969,
        4.965343730537415,
        4.965364709650896,
        4.965385211966343,
        4.965406191079824,
        4.96542669339527,
        4.965447672508751,
        4.965468174824197,
        4.965489153937678,
        4.965509656253125,
        4.965530635366606,
        4.965551137682053,
        4.965572116795533,
        4.96559261911098,
        4.9656135982244605,
        4.965634100539908,
        4.965655079653388,
        4.965675581968835,
        4.965696561082315,
        4.965717063397762,
        4.965737565713209,
        4.96575854482669,
        4.965779047142136,
        4.965800026255617,
        4.965820528571063,
        4.965841507684544,
        4.965862009999991,
        4.965882512315438,
        4.965903491428918,
        4.965923993744365,
        4.965944972857845,
        4.9659654751732925,
        4.96598597748874,
        4.96600695660222,
        4.966027458917667,
        4.966048438031147,
        4.966068940346594,
        4.966089442662041,
        4.966110421775522,
        4.966130924090969,
        4.966151903204449,
        4.966172405519896,
        4.966192907835342,
        4.9662138869488235,
        4.96623438926427,
        4.966254891579717,
        4.966275870693197,
        4.966296373008644,
        4.966316875324091,
        4.966337854437572,
        4.966358356753019,
        4.966378859068465,
        4.966399838181946,
        4.966420340497392,
        4.9664408428128395,
        4.96646182192632,
        4.966482324241767,
        4.966502826557214,
        4.966523805670694,
        4.966544307986141,
        4.966564810301588,
        4.966585789415069,
        4.966606291730515,
        4.966626794045962,
        4.966647773159443,
        4.966668275474889,
        4.966688777790337,
        4.966709280105784,
        4.966730259219264,
        4.966750761534711,
        4.966771263850157,
        4.966792242963638,
        4.966812745279085,
        4.966833247594532,
        4.966853749909979,
        4.966874729023459,
        4.966895231338906,
        4.966915733654353,
        4.9669362359698,
        4.96695721508328,
        4.966977717398727,
        4.966998219714174,
        4.9670187220296205,
        4.967039224345068,
        4.967060203458548,
        4.967080705773995,
        4.967101208089442,
        4.967121710404888,
        4.9671426895183695,
        4.967163191833816,
        4.967183694149263,
        4.96720419646471,
        4.967224698780157,
        4.967245677893637,
        4.9672661802090845,
        4.967286682524531,
        4.967307184839978,
        4.967327687155425,
        4.967348189470871,
        4.967369168584352,
        4.967389670899799,
        4.967410173215246,
        4.967430675530693,
        4.967451177846139,
        4.967471680161586,
        4.967492659275067,
        4.967513161590514,
        4.967533663905961,
        4.967554166221407,
        4.967574668536854,
        4.967595170852301,
        4.967615673167748,
        4.967636175483195,
        4.967657154596675,
        4.967677656912122,
        4.967698159227569,
        4.967718661543016,
        4.967739163858463,
        4.96775966617391,
        4.967780168489357,
        4.967800670804803,
        4.96782117312025,
        4.967842152233731,
        4.967862654549178,
        4.967883156864625,
        4.967903659180071,
        4.967924161495518,
        4.9679446638109654,
        4.967965166126412,
        4.967985668441859,
        4.968006170757306,
        4.968026673072752,
        4.968047175388199,
        4.9680676777036465,
        4.968088180019093,
        4.96810868233454,
        4.968129184649987,
        4.968149686965433,
        4.968170666078914,
        4.968191168394361,
        4.968211670709808,
        4.968232173025255,
        4.968252675340701,
        4.968273177656148,
        4.9682936799715955,
        4.968314182287043,
        4.968334684602489,
        4.968355186917936,
        4.968375689233383,
        4.9683961915488295,
        4.968416693864277,
        4.968437196179724,
        4.96845769849517,
        4.968478200810617,
        4.968498703126064,
        4.968519205441511,
        4.968539707756958,
        4.968560210072405,
        4.968580235589818,
        4.968600737905264,
        4.9686212402207115,
        4.968641742536159,
        4.968662244851605,
        4.968682747167052,
        4.968703249482499,
        4.9687237517979455,
        4.968744254113393,
        4.96876475642884,
        4.968785258744286,
        4.968805761059733,
        4.96882626337518,
        4.968846765690627,
        4.968867268006074,
        4.968887770321521,
        4.968907795838934,
        4.968928298154381,
        4.9689488004698275,
        4.968969302785275,
        4.968989805100722,
        4.969010307416168,
        4.969030809731615,
        4.969051312047062,
        4.9690718143625086,
        4.969091839879922,
        4.969112342195369,
        4.969132844510816,
        4.969153346826262,
        4.9691738491417095,
        4.969194351457157,
        4.969214853772603,
        4.96923535608805,
        4.969255381605463,
        4.96927588392091,
        4.969296386236357,
        4.969316888551804,
        4.969337390867251,
        4.969357893182697,
        4.969377918700111,
        4.9693984210155575,
        4.969418923331005,
        4.969439425646452,
        4.969459927961898,
        4.969480430277345,
        4.969500455794758,
        4.9695209581102056,
        4.969541460425652,
        4.969561962741099,
        4.969582465056546,
        4.969602490573959,
        4.969622992889406,
        4.969643495204853,
        4.9696639975203,
        4.969684023037713,
        4.969704525353159,
        4.9697250276686065,
        4.969745529984054,
        4.9697660322995,
        4.969786057816913,
        4.96980656013236,
        4.969827062447807,
        4.969847564763254,
        4.969867590280667,
        4.969888092596114,
        4.969908594911561,
        4.969929097227008,
        4.9699491227444215,
        4.969969625059868,
        4.969990127375315,
        4.970010152892728,
        4.970030655208175,
        4.9700511575236215,
        4.970071659839069,
        4.970091685356482,
        4.970112187671929,
        4.970132689987375,
        4.970152715504788,
        4.970173217820236,
        4.970193720135683,
        4.970214222451129,
        4.970234247968542,
        4.970254750283989,
        4.9702752525994365,
        4.97029527811685,
        4.970315780432296,
        4.970336282747743,
        4.970356308265156,
        4.970376810580603,
        4.97039731289605,
        4.970417338413463,
        4.97043784072891,
        4.970458343044357,
        4.97047836856177,
        4.9704988708772175,
        4.970518896394631,
        4.970539398710077,
        4.970559901025524,
        4.970579926542937,
        4.9706004288583845,
        4.970620931173831,
        4.970640956691244,
        4.970661459006691,
        4.970681484524104,
        4.9707019868395514,
        4.970722489154998,
        4.970742514672411,
        4.970763016987858,
        4.970783042505271,
        4.970803544820718,
        4.970824047136165,
        4.970844072653578,
        4.970864574969025,
        4.970884600486438,
        4.970905102801885,
        4.970925128319299,
        4.970945630634745,
        4.970966132950192,
        4.970986158467605,
        4.971006660783052,
        4.9710266863004655,
        4.971047188615913,
        4.971067214133326,
        4.971087716448772,
        4.971107741966185,
        4.9711282442816325,
        4.97114874659708,
        4.971168772114493,
        4.971189274429939,
        4.971209299947352,
        4.971229802262799,
        4.971249827780213,
        4.97127033009566,
        4.971290355613073,
        4.971310857928519,
        4.971330883445932,
        4.97135138576138,
        4.971371411278793,
        4.97139191359424,
        4.971411939111653,
        4.971432441427099,
        4.971452466944513,
        4.97147296925996,
        4.971492994777373,
        4.971513020294786,
        4.971533522610233,
        4.9715535481276465,
        4.971574050443094,
        4.971594075960507,
        4.971614578275953,
        4.971634603793366,
        4.9716551061088134,
        4.971675131626227,
        4.971695633941674,
        4.971715659459087,
        4.9717356849765,
        4.9717561872919465,
        4.97177621280936,
        4.971796715124807,
        4.97181674064222,
        4.971837242957667,
        4.97185726847508,
        4.971877293992494,
        4.97189779630794,
        4.971917821825353,
        4.9719383241408,
        4.971958349658213,
        4.971978375175627,
        4.971998877491074,
        4.972018903008487,
        4.972039405323933,
        4.972059430841346,
        4.97207945635876,
        4.972099958674207,
        4.97211998419162,
        4.972140009709033,
        4.97216051202448,
        4.9721805375418935,
        4.972200563059307,
        4.972221065374754,
        4.972241090892167,
        4.97226111640958,
        4.9722816187250265,
        4.97230164424244,
        4.972321669759853,
        4.9723421720753,
        4.972362197592713,
        4.9723822231101265,
        4.972402725425574,
        4.972422750942987,
        4.9724427764604,
        4.972463278775846,
        4.9724833042932595,
        4.972503329810673,
        4.97252383212612,
        4.972543857643533,
        4.972563883160946,
        4.972584385476393,
        4.972604410993807,
        4.97262443651122,
        4.972644462028633,
        4.97266496434408,
        4.972684989861493,
        4.9727050153789065,
        4.97272504089632,
        4.972745543211766,
        4.972765568729179,
        4.972785594246592,
        4.972805619764006,
        4.972826122079453,
        4.972846147596866,
        4.972866173114279,
        4.972886198631692,
        4.9729067009471395,
        4.972926726464553,
        4.972946751981966,
        4.972966777499379,
        4.972987279814825,
        4.973007305332239,
        4.973027330849652,
        4.973047356367065,
        4.973067381884478,
        4.973087884199925,
        4.9731079097173385,
        4.973127935234752,
        4.973147960752165,
        4.973167986269578,
        4.973188488585025,
        4.9732085141024385,
        4.973228539619852,
        4.973248565137265,
        4.973268590654678,
        4.973288616172091,
        4.973309118487538,
        4.973329144004952,
        4.973349169522365,
        4.973369195039778,
        4.973389220557191,
        4.973409246074604,
        4.973429748390051,
        4.973449773907464,
        4.973469799424877,
        4.97348982494229,
        4.9735098504597035,
        4.973529875977117,
        4.97354990149453,
        4.973569927011943,
        4.97359042932739,
        4.9736104548448035,
        4.973630480362217,
        4.97365050587963,
        4.973670531397043,
        4.973690556914456,
        4.9737105824318695,
        4.973730607949283,
        4.973750633466696,
        4.973771135782143,
        4.973791161299556,
        4.973811186816969,
        4.973831212334383,
        4.973851237851796,
        4.973871263369209,
        4.973891288886622,
        4.9739113144040354,
        4.973931339921449,
        4.973951365438862,
        4.973971390956275,
        4.973991416473688,
        4.9740114419911015,
        4.974031467508515,
        4.974051493025928,
        4.974071518543341,
        4.974091544060754,
        4.974112046376201,
        4.974132071893615,
        4.974152097411028,
        4.974172122928441,
        4.974192148445854,
        4.974212173963267,
        4.974232199480681,
        4.974252224998094,
        4.974272250515507,
        4.97429227603292,
        4.974312301550333,
        4.974332327067747,
        4.97435235258516,
        4.974372378102573,
        4.974392403619986,
        4.9744124291373994,
        4.974432454654813,
        4.974452480172226,
        4.974472028891605,
        4.974492054409018,
        4.9745120799264315,
        4.974532105443845,
        4.974552130961258,
        4.974572156478671,
        4.974592181996084,
        4.9746122075134975,
        4.974632233030911,
        4.974652258548324,
        4.974672284065737,
        4.97469230958315,
        4.9747123351005635,
        4.974732360617977,
        4.97475238613539,
        4.974772411652803,
        4.974792437170216,
        4.9748119858895965,
        4.97483201140701,
        4.974852036924423,
        4.974872062441836,
        4.974892087959249,
        4.9749121134766625,
        4.974932138994076,
        4.974952164511489,
        4.974972190028902,
        4.974992215546315,
        4.975011764265695,
        4.975031789783108,
        4.975051815300521,
        4.975071840817934,
        4.975091866335347,
        4.975111891852761,
        4.975131917370174,
        4.975151466089554,
        4.975171491606967,
        4.97519151712438,
        4.9752115426417935,
        4.975231568159207,
        4.97525159367662,
        4.975271619194033,
        4.975291167913412,
        4.975311193430826,
        4.975331218948239,
        4.975351244465652,
        4.975371269983065,
        4.975390818702445,
        4.975410844219859,
        4.975430869737272,
        4.975450895254685,
        4.975470920772098,
        4.975490469491477,
        4.975510495008891,
        4.975530520526304,
        4.975550546043717,
        4.97557057156113,
        4.9755901202805095,
        4.975610145797923,
        4.975630171315336,
        4.975650196832749,
        4.975669745552129,
        4.9756897710695425,
        4.975709796586956,
        4.975729822104369,
        4.975749847621782,
        4.975769396341161,
        4.9757894218585745,
        4.975809447375988,
        4.975829472893401,
        4.97584902161278,
        4.975869047130193,
        4.975889072647607,
        4.975908621366987,
        4.9759286468844,
        4.975948672401813,
        4.975968697919226,
        4.975988246638606,
        4.976028297673432,
        4.976047846392812,
        4.976127471664431,
        4.976167522699257,
        4.976187071418637,
        4.976604269698079,
        4.976663869452285,
        4.976683418171665,
        4.976703443689078,
        4.976722992408457,
        4.9767430179258705,
        4.976763043443284,
        4.976822166399456,
        4.9768421919168695,
        4.976861740636249,
        4.976881766153662,
        4.976901314873041,
        4.976921340390454,
        4.976941365907868,
        4.976960914627248,
        4.976980940144661,
        4.97700048886404,
        4.977020514381453,
        4.977040063100834,
        4.977060088618247,
        4.977079637337626,
        4.977099662855039,
        4.9771192115744185,
        4.977139237091832,
        4.977158785811212,
        4.977178811328625,
        4.977198360048004,
        4.9772183855654175,
        4.977237934284797,
        4.97725795980221,
        4.97727750852159,
        4.977297534039003,
        4.977317082758383,
        4.977337108275796,
        4.977356656995175,
        4.977376682512588,
        4.977396231231968,
        4.977416256749382,
        4.977435805468761,
        4.977455830986174,
        4.977475379705553,
        4.9774954052229665,
        4.977514953942347,
        4.97753497945976,
        4.977554528179139,
        4.977574553696552,
        4.9775941024159325,
        4.977613651135312,
        4.977633676652725,
        4.977653225372104,
        4.977673250889517,
        4.9776927996088975,
        4.977712825126311,
        4.97773237384569,
        4.977751922565069,
        4.9777719480824825,
        4.977791496801863,
        4.977811522319276,
        4.977831071038655,
        4.977850619758034,
        4.9778706452754475,
        4.977890193994828,
        4.977910219512241,
        4.97792976823162,
        4.977949316950999,
        4.977969342468413,
        4.977988891187793,
        4.978008439907172,
        4.978028465424585,
        4.9780480141439645,
        4.978068039661378,
        4.978087588380758,
        4.978107137100137,
        4.97812716261755,
        4.97814671133693,
        4.97816626005631,
        4.978186285573723,
        4.978205834293102,
        4.978225383012482,
        4.9782454085298955,
        4.978264957249275,
        4.978284505968654,
        4.978304531486067,
        4.978324080205447,
        4.978343628924827,
        4.97836365444224,
        4.978383203161619,
        4.978402751880999,
        4.9784223006003785,
        4.978442326117792,
        4.978461874837171,
        4.978481423556551,
        4.978501449073964,
        4.978520997793344,
        4.978540546512723,
        4.978560572030136,
        4.978580120749516,
        4.978599669468895,
        4.978619218188275,
        4.978639243705688,
        4.978658792425068,
        4.978678341144447,
        4.978697889863827,
        4.978717915381241,
        4.97873746410062,
        4.978757012819999,
        4.978776561539379,
        4.9787965870567925,
        4.978816135776172,
        4.978835684495551,
        4.978855233214931,
        4.978875258732344,
        4.978894807451724,
        4.978914356171103,
        4.978933904890483,
        4.978953453609862,
        4.9789734791272755,
        4.978993027846655,
        4.979012576566035,
        4.979032125285414,
        4.979051674004793,
        4.979071699522207,
        4.979091248241587,
        4.979110796960966,
        4.979130345680345,
        4.979149894399725,
        4.979169443119105,
        4.979189468636518,
        4.979209017355897,
        4.979228566075277,
        4.979248114794657,
        4.979267663514037,
        4.979287212233416,
        4.979307237750829,
        4.979326786470208,
        4.979346335189589,
        4.979365883908968,
        4.979385432628347,
        4.979404981347727,
        4.9794245300671065,
        4.97944455558452,
        4.979464104303899,
        4.979483653023279,
        4.979503201742658,
        4.979522750462038,
        4.979542299181418,
        4.979561847900797,
        4.979581396620176,
        4.9796014221375895,
        4.97962097085697,
        4.979640519576349,
        4.979660068295728,
        4.979679617015108,
        4.979699165734488,
        4.979718714453867,
        4.979738263173247,
        4.979757811892626,
        4.979777360612006,
        4.979796909331386,
        4.979816458050765,
        4.979836006770145,
        4.979856032287558,
        4.9798755810069375,
        4.979895129726317,
        4.979914678445697,
        4.979934227165076,
        4.979953775884455,
        4.979973324603836,
        4.980031970761974,
        4.980071068200733,
        4.980110165639492,
        4.980540237465843,
        4.980696150422846,
        4.980715699142225,
        4.980735247861604,
        4.980774345300364,
        4.980793894019743,
        4.9808520633798485,
        4.980871612099228,
        4.980891160818608,
        4.980910709537987,
        4.9809302582573665,
        4.980949806976747,
        4.980968878898092,
        4.980988427617472,
        4.981007976336851,
        4.981027525056231,
        4.981047073775611,
        4.98106662249499,
        4.981086171214369,
        4.9811052431357155,
        4.981124791855095,
        4.981144340574475,
        4.981163889293854,
        4.981183438013233,
        4.9812029867326135,
        4.981222535451993,
        4.981241607373339,
        4.981261156092718,
        4.9812807048120975,
        4.981300253531478,
        4.981319802250857,
        4.981338874172203,
        4.981358422891582,
        4.981377971610962,
        4.981397520330342,
        4.981417069049721,
        4.981436140971067,
        4.9814556896904465,
        4.981475238409827,
        4.981494787129206,
        4.981514335848585,
        4.981533407769931,
        4.981552956489311,
        4.981572505208691,
        4.98159205392807,
        4.981611125849416,
        4.9816306745687955,
        4.981650223288175,
        4.981669772007555,
        4.9816888439289,
        4.98170839264828,
        4.98172794136766,
        4.981747490087039,
        4.981766562008385,
        4.981786110727764,
        4.9818056594471445,
        4.981825208166524,
        4.98184428008787,
        4.981863828807249,
        4.9818833775266285,
        4.981902449447975,
        4.981921998167354,
        4.981941546886734,
        4.981961095606113,
        4.9819801675274595,
        4.981999716246839,
        4.982019264966219,
        4.982038336887564,
        4.982057885606944,
        4.982077434326324,
        4.98209650624767,
        4.982116054967049,
        4.982135603686428,
        4.982154675607775,
        4.982174224327154,
        4.982193773046534,
        4.982212844967879,
        4.9822323936872595,
        4.982251942406639,
        4.982271014327985,
        4.982290563047364,
        4.982310111766743,
        4.98232918368809,
        4.982348732407469,
        4.982368281126849,
        4.982387353048194,
        4.9824069017675745,
        4.98242597368892,
        4.9824455224083,
        4.982465071127679,
        4.982484143049025,
        4.982503691768405,
        4.982523240487785,
        4.98254231240913,
        4.98256186112851,
        4.982580933049856,
        4.982600481769236,
        4.982620030488615,
        4.982639102409961,
        4.9826586511293405,
        4.982677723050687,
        4.982697271770066,
        4.982716343691412,
        4.982735892410791,
        4.982755441130171,
        4.982774513051517,
        4.982794061770896,
        4.982813133692242,
        4.982832682411622,
        4.982851754332968,
        4.982871303052347,
        4.982890374973693,
        4.9829099236930725,
        4.982929472412453,
        4.982948544333798,
        4.982968093053178,
        4.982987164974523,
        4.983006713693904,
        4.983025785615249,
        4.983045334334629,
        4.983064406255975,
        4.9830839549753545,
        4.983103026896701,
        4.98312257561608,
        4.983141647537426,
        4.983161196256805,
        4.983180268178152,
        4.983199816897531,
        4.983218888818877,
        4.983238437538256,
        4.9832575094596026,
        4.983277058178982,
        4.983296130100328,
        4.983315678819707,
        4.9833347507410535,
        4.983354299460433,
        4.983373371381779,
        4.983392920101158,
        4.983411992022504,
        4.98343106394385,
        4.98345061266323,
        4.983469684584575,
        4.983489233303955,
        4.983508305225301,
        4.983527853944681,
        4.983546925866026,
        4.983566474585406,
        4.983585546506752,
        4.983604618428098,
        4.983624167147478,
        4.983643239068823,
        4.983662787788203,
        4.983681859709549,
        4.983700931630895,
        4.983720480350274,
        4.98373955227162,
        4.983759100991,
        4.983778172912346,
        4.983797244833692,
        4.983816793553071,
        4.9838358654744175,
        4.983855414193797,
        4.983874486115143,
        4.983893558036488,
        4.983913106755868,
        4.983932178677214,
        4.983951727396594,
        4.983970799317939,
        4.983989871239285,
        4.984009419958665,
        4.984028491880011,
        4.984047563801357,
        4.984067112520736,
        4.9840861844420825,
        4.984105256363428,
        4.984124805082808,
        4.984143877004154,
        4.9841629489254995,
        4.98418249764488,
        4.984201569566225,
        4.984220641487571,
        4.98424019020695,
        4.984259262128297,
        4.984278334049643,
        4.984297882769022,
        4.984316954690368,
        4.984336026611714,
        4.98435509853306,
        4.984374647252439,
        4.984393719173785,
        4.9844127910951315,
        4.984432339814511,
        4.984451411735857,
        4.984470483657202,
        4.9844895555785484,
        4.984509104297928,
        4.984528176219274,
        4.98454724814062,
        4.984566796859999,
        4.984585868781346,
        4.984604940702691,
        4.984624012624037,
        4.984643561343416,
        4.9846626332647626,
        4.984681705186109,
        4.984700777107455,
        4.984720325826834,
        4.98473939774818,
        4.984758469669526,
        4.984777541590872,
        4.984796613512218,
        4.984816162231597,
        4.984835234152944,
        4.984854306074289,
        4.984873377995635,
        4.984892926715014,
        4.984911998636361,
        4.984931070557707,
        4.984950142479052,
        4.984969214400398,
        4.984988763119778,
        4.985007835041124,
        4.98502690696247,
        4.985045978883815,
        4.9850650508051615,
        4.985084122726508,
        4.985103671445887,
        4.985122743367233,
        4.9851418152885785,
        4.985160887209925,
        4.985179959131271,
        4.985199031052616,
        4.985218579771996,
        4.9852376516933425,
        4.985256723614688,
        4.985275795536034,
        4.98529486745738,
        4.985313939378726,
        4.985333011300072,
        4.985352560019451,
        4.985371631940797,
        4.9853907038621434,
        4.985409775783489,
        4.985428847704835,
        4.985447919626181,
        4.9854669915475265,
        4.985486063468873,
        4.985505135390219,
        4.985524684109598,
        4.985543756030944,
        4.98556282795229,
        4.985581899873636,
        4.985600971794982,
        4.985620043716327,
        4.985639115637674,
        4.98565818755902,
        4.985677259480365,
        4.985696331401711,
        4.9857154033230575,
        4.985734475244403,
        4.985754023963783,
        4.985773095885128,
        4.9857921678064745,
        4.985811239727821,
        4.985830311649167,
        4.985849383570512,
        4.985868455491858,
        4.985887527413205,
        4.98590659933455,
        4.985925671255896,
        4.985944743177242,
        4.985963815098588,
        4.985982887019934,
        4.98600195894128,
        4.986021030862625,
        4.986040102783972,
        4.986059174705318,
        4.986078246626663,
        4.986097318548009,
        4.9861163904693555,
        4.986135462390701,
        4.986154534312047,
        4.986173606233393,
        4.9861926781547385,
        4.986211750076085,
        4.986230821997431,
        4.986249893918776,
        4.9862689658401225,
        4.986288037761469,
        4.986307109682814,
        4.98632618160416,
        4.986345253525506,
        4.986364325446853,
        4.986383397368198,
        4.986402469289544,
        4.98642154121089,
        4.986440613132236,
        4.986459685053582,
        4.986478756974928,
        4.98649735209824,
        4.986516424019586,
        4.986535495940932,
        4.986554567862278,
        4.986573639783623,
        4.9865927117049695,
        4.986611783626316,
        4.986630855547661,
        4.986649927469007,
        4.9866689993903535,
        4.986688071311699,
        4.986707143233045,
        4.986725738356357,
        4.986744810277703,
        4.986763882199049,
        4.986782954120395,
        4.986802026041741,
        4.9868210979630865,
        4.986840169884433,
        4.986859241805779,
        4.986878313727125,
        4.986896908850437,
        4.986915980771783,
        4.986935052693129,
        4.986954124614475,
        4.98697319653582,
        4.986992268457167,
        4.987011340378513,
        4.987029935501825,
        4.98704900742317,
        4.987068079344517,
        4.987087151265863,
        4.987106223187208,
        4.987125295108554,
        4.9871438902318665,
        4.987162962153213,
        4.987182034074558,
        4.987201105995904,
        4.9872201779172505,
        4.987239249838596,
        4.987257844961908,
        4.987276916883254,
        4.9872959888046005,
        4.987315060725946,
        4.987334132647292,
        4.987352727770604,
        4.98737179969195,
        4.987390871613296,
        4.987409943534642,
        4.987428538657954,
        4.9874476105793,
        4.987466682500647,
        4.987485754421992,
        4.987504826343338,
        4.98752342146665,
        4.987542493387997,
        4.987561565309342,
        4.987580637230688,
        4.987599232354,
        4.987618304275347,
        4.987637376196692,
        4.987656448118038,
        4.98767504324135,
        4.987694115162697,
        4.987713187084042,
        4.987731782207354,
        4.9877508541287,
        4.9877699260500465,
        4.987788997971392,
        4.987807593094704,
        4.98782666501605,
        4.9878457369373965,
        4.987864332060709,
        4.987883403982054,
        4.9879024759034,
        4.9879215478247465,
        4.987940142948059,
        4.987959214869404,
        4.98797828679075,
        4.9879968819140625,
        4.988015953835409,
        4.988035025756755,
        4.988053620880067,
        4.9880726928014125,
        4.988091764722759,
        4.988110359846071,
        4.988129431767417,
        4.9881485036887625,
        4.988167098812075,
        4.988186170733421,
        4.988205242654767,
        4.988223837778079,
        4.988242909699425,
        4.988261981620771,
        4.988280576744083,
        4.988299648665429,
        4.988318243788742,
        4.988337315710087,
        4.988356387631433,
        4.9883749827547454,
        4.988394054676092,
        4.988413126597437,
        4.988431721720749,
        4.988450793642095,
        4.988469388765408,
        4.988488460686754,
        4.988507532608099,
        4.988526127731412,
        4.988545199652758,
        4.98856379477607,
        4.988582866697416,
        4.988601938618762,
        4.988620533742075,
        4.98863960566342,
        4.988658200786732,
        4.988677272708078,
        4.988695867831391,
        4.988714939752737,
        4.988734011674082,
        4.988752606797394,
        4.988771678718741,
        4.988790273842053,
        4.988809345763399,
        4.988827940886711,
        4.988847012808057,
        4.988865607931369,
        4.988884679852715,
        4.988903274976027,
        4.988922346897374,
        4.988940942020686,
        4.988960013942031,
        4.988978609065343,
        4.98899768098669,
        4.989016752908036,
        4.989035348031348,
        4.989054419952693,
        4.9890730150760065,
        4.989092086997352,
        4.989110682120664,
        4.98912975404201,
        4.989148349165323,
        4.989166944288635,
        4.989186016209981,
        4.989204611333293,
        4.989223683254639,
        4.989242278377951,
        4.989261350299297,
        4.989279945422609,
        4.9892990173439555,
        4.989317612467268,
        4.989336684388613,
        4.989355279511925,
        4.989374351433272,
        4.989392946556584,
        4.98941201847793,
        4.989430613601242,
        4.9894492087245546,
        4.9894682806459,
        4.989486875769212,
        4.989505947690558,
        4.989524542813871,
        4.989543614735217,
        4.989562209858529,
        4.989580804981841,
        4.989599876903187,
        4.9896184720265,
        4.989637543947845,
        4.989656139071157,
        4.98967473419447,
        4.989693806115816,
        4.989712401239128,
        4.989731473160474,
        4.9897500682837865,
        4.989768663407099,
        4.989787735328444,
        4.989806330451756,
        4.989825402373103,
        4.989843997496415,
        4.989862592619727,
        4.989881664541073,
        4.9899002596643856,
        4.989918854787698,
        4.989937926709043,
        4.989956521832355,
        4.989975116955668,
        4.989994188877014,
        4.99310052806623,
        4.9966197743525855,
        4.996642183860167,
        4.996664593367749,
        4.99668700287533,
        4.996708935584878,
        4.996731345092459,
        4.996753754600041,
        4.996776164107622,
        4.99679809681717,
        4.9968205063247515,
        4.996842915832333,
        4.996865325339915,
        4.996887258049462,
        4.996909667557044,
        4.996932077064625,
        4.996954486572206,
        4.996976419281754,
        4.996998828789335,
        4.9970212382969175,
        4.997043171006465,
        4.997065580514047,
        4.997087990021628,
        4.997109922731176,
        4.997132332238757,
        4.997154741746338,
        4.997176674455886,
        4.9971990839634675,
        4.9972214934710495,
        4.997243426180597,
        4.997265835688179,
        4.99728824519576,
        4.997310177905308,
        4.997332587412889,
        4.997354996920471,
        4.997376929630018,
        4.9973993391376,
        4.9974217486451815,
        4.99744368135473,
        4.997466090862311,
        4.997488500369892,
        4.99751043307944,
        4.997532842587021,
        4.997554775296569,
        4.99757718480415,
        4.997599594311732,
        4.99762152702128,
        4.997643936528862,
        4.997665869238409,
        4.997688278745991,
        4.997710688253572,
        4.99773262096312,
        4.997755030470701,
        4.997776963180249,
        4.9977993726878305,
        4.9978217821954125,
        4.99784371490496,
        4.997866124412542,
        4.997888057122089,
        4.997910466629671,
        4.997932399339218,
        4.9979548088468,
        4.997976741556347,
        4.9979991510639294,
        4.998021083773477,
        4.998043493281059,
        4.99806590278864,
        4.998087835498188,
        4.998110245005769,
        4.998132177715317,
        4.998154587222898,
        4.998176519932446,
        4.9981989294400275,
        4.998220862149576,
        4.998243271657157,
        4.998265204366705,
        4.998287613874286,
        4.998309546583834,
        4.998331956091415,
        4.998353888800963,
        4.9983762983085445,
        4.9983982310180926,
        4.998420640525674,
        4.998442573235222,
        4.99846450594477,
        4.998486915452351,
        4.998508848161899,
        4.99853125766948,
        4.998553190379028,
        4.9985755998866095,
        4.998597532596158,
        4.998619942103739,
        4.998641874813287,
        4.998664284320868,
        4.998686217030416,
        4.998708149739963,
        4.998730559247545,
        4.9987524919570925,
        4.9987749014646745,
        4.998796834174222,
        4.99881876688377,
        4.998841176391351,
        4.998863109100899,
        4.99888551860848,
        4.998907451318028,
        4.998929384027576,
        4.9989517935351575,
        4.998973726244706,
        4.998996135752287,
        4.999018068461835,
        4.999040001171383,
        4.999062410678964,
        4.999084343388512,
        4.999106276098059,
        4.999128685605641,
        4.999150618315189,
        4.999172551024737,
        4.999194960532318,
        4.999216893241866,
        4.999238825951414,
        4.999261235458995,
        4.999283168168543,
        4.99930510087809,
        4.9993275103856725,
        4.99934944309522,
        4.999371375804768,
        4.999393785312349,
        4.999415718021897,
        4.999437650731445,
        4.999460060239026,
        4.999481992948574,
        4.999503925658122,
        4.99952585836767,
        4.999548267875252,
        4.999570200584799,
        4.999592133294347,
        4.999614542801928,
        4.999636475511476,
        4.999658408221024,
        4.9996803409305715,
        4.9997027504381535,
        4.999724683147701,
        4.999746615857249,
        4.999768548566797,
        4.999790958074378,
        4.999812890783926,
        4.999834823493473,
        4.999856756203021,
        4.9998791657106025,
        4.999901098420151,
        4.999923031129699,
        4.999944963839246,
        4.999966896548794,
        4.999989306056375,
        5.000011238765923,
        5.000033171475471,
        5.000055104185019,
        5.000077513692601,
        5.000099446402149,
        5.000121379111696,
        5.000143311821244,
        5.000165244530792,
        5.000187177240339,
        5.000209586747921,
        5.0002315194574685,
        5.0002534521670166,
        5.000275384876565,
        5.000297317586112,
        5.00031925029566,
        5.000341659803241,
        5.000363592512789,
        5.000385525222337,
        5.0004074579318845,
        5.0004293906414325,
        5.000451323350981,
        5.000473256060528,
        5.00049566556811,
        5.000517598277657,
        5.000539530987205,
        5.000561463696753,
        5.000583396406301,
        5.0006053291158485,
        5.000627261825397,
        5.000649194534945,
        5.000671127244492,
        5.000693536752074,
        5.000715469461621,
        5.000737402171169,
        5.000759334880717,
        5.0007812675902645,
        5.000803200299813,
        5.000825133009361,
        5.000847065718908,
        5.000868998428456,
        5.000890931138004,
        5.000912863847551,
        5.000934796557099,
        5.0009567292666475,
        5.000978661976195,
        5.001001071483777,
        5.001023004193324,
        5.001044936902872,
        5.00106686961242,
        5.001088802321967,
        5.001110735031515,
        5.0011326677410635,
        5.0011546004506116,
        5.001176533160159,
        5.001198465869707,
        5.001220398579255,
        5.001242331288802,
        5.00126426399835,
        5.001286196707898,
        5.001330062126994,
        5.001351994836542,
        5.001373927546089,
        5.001439725674732,
        5.00146165838428,
        5.0014835910938285,
        5.001505523803376,
        5.001570845133986,
        5.001592777843533,
        5.001614710553081,
        5.001636643262629,
        5.0016585759721774,
        5.001680508681725,
        5.001724374100821,
        5.001746306810368,
        5.001768239519916,
        5.001790172229464,
        5.001965157107812,
        5.002140141986161,
        5.002751397065298,
        5.002817195193941,
        5.0028386511054554,
        5.002903972436066,
        5.002925905145613,
        5.002969770564709,
        5.0030131591857705,
        5.003035091895319,
        5.003056547806833,
        5.003078480516381,
        5.003100413225928,
        5.003122345935476,
        5.00314380184699,
        5.003165734556538,
        5.0031876672660855,
        5.0032091231776,
        5.003231055887148,
        5.003252988596696,
        5.00327444450821,
        5.003296377217758,
        5.003318309927305,
        5.0033397658388195,
        5.0033616985483675,
        5.003383631257916,
        5.00340508716943,
        5.003427019878977,
        5.003448952588525,
        5.003470408500039,
        5.003492341209587,
        5.0035137971211014,
        5.003535729830649,
        5.003557662540197,
        5.003579118451711,
        5.003601051161259,
        5.003622507072773,
        5.00364443978232,
        5.003666372491868,
        5.0036878284033826,
        5.003709761112931,
        5.003731217024445,
        5.003753149733992,
        5.00377508244354,
        5.003796538355054,
        5.003818471064602,
        5.0038399269761165,
        5.0038618596856645,
        5.003883792395212,
        5.003905248306726,
        5.003927181016274,
        5.003948636927788,
        5.003970569637336,
        5.00399202554885,
        5.004013958258398,
        5.004035414169912,
        5.00405734687946,
        5.004078802790974,
        5.004100735500522,
        5.004122668210069,
        5.004144124121583,
        5.0041660568311315,
        5.004187512742646,
        5.004209445452194,
        5.004230901363708,
        5.004252834073255,
        5.004274289984769,
        5.004296222694317,
        5.004317678605831,
        5.0043396113153795,
        5.004361067226894,
        5.004382999936441,
        5.004404455847956,
        5.00442591175947,
        5.004447844469017,
        5.004469300380531,
        5.0044912330900795,
        5.004512689001594,
        5.004534621711142,
        5.004556077622656,
        5.004578010332203,
        5.004599466243717,
        5.004621398953265,
        5.0046428548647794,
        5.004664310776294,
        5.004686243485842,
        5.004707699397356,
        5.004729632106903,
        5.004751088018417,
        5.004773020727965,
        5.004794476639479,
        5.0048159325509936,
        5.004837865260542,
        5.004859321172056,
        5.004881253881603,
        5.004902709793117,
        5.004924165704631,
        5.004946098414179,
        5.0049675543256935,
        5.004989487035242,
        5.005010942946756,
        5.00503239885827,
        5.005054331567818,
        5.005075787479332,
        5.005097243390846,
        5.0051191761003935,
        5.005140632011908,
        5.005162564721456,
        5.00518402063297,
        5.005205476544484,
        5.005227409254032,
        5.005248865165546,
        5.00527032107706,
        5.005292253786608,
        5.005313709698122,
        5.005335165609636,
        5.005357098319184,
        5.005378554230698,
        5.005400010142212,
        5.005421466053726,
        5.0054433987632745,
        5.005464854674789,
        5.005486310586303,
        5.005508243295851,
        5.005529699207365,
        5.005551155118879,
        5.005573087828426,
        5.0055945437399405,
        5.005615999651455,
        5.005637455562969,
        5.005659388272517,
        5.005680844184031,
        5.005702300095545,
        5.005723756007059,
        5.005745688716607,
        5.005767144628122,
        5.005788600539636,
        5.00581005645115,
        5.005831989160697,
        5.005853445072211,
        5.005874900983725,
        5.0058963568952395,
        5.005918289604788,
        5.005939745516302,
        5.005961201427816,
        5.00598265733933,
        5.006004113250844,
        5.006026045960392,
        5.006047501871906,
        5.0060689577834205,
        5.006090413694935,
        5.006111869606449,
        5.006133802315997,
        5.006155258227511,
        5.006176714139025,
        5.006198170050539,
        5.0062196259620535,
        5.006241558671601,
        5.006263014583115,
        5.006284470494629,
        5.006305926406143,
        5.006327382317657,
        5.006348838229171,
        5.0063707709387195,
        5.006392226850234,
        5.006413682761748,
        5.006435138673262,
        5.006456594584776,
        5.00647805049629,
        5.006499506407804,
        5.0065209623193185,
        5.006542895028867,
        5.006564350940381,
        5.006585806851895,
        5.006607262763409,
        5.006628718674923,
        5.006650174586437,
        5.0066716304979515,
        5.006693086409466,
        5.00671454232098,
        5.006736475030528,
        5.006757930942042,
        5.006779386853556,
        5.00680084276507,
        5.0068222986765845,
        5.006843754588099,
        5.006865210499613,
        5.006886666411127,
        5.006908122322641,
        5.006929578234155,
        5.006951034145669,
        5.0069724900571835,
        5.006993945968698,
        5.007015401880212,
        5.007036857791726,
        5.00705831370324,
        5.007079769614754,
        5.007101702324301,
        5.007123158235816,
        5.007144614147331,
        5.007166070058845,
        5.007187525970359,
        5.007208981881873,
        5.007230437793387,
        5.007251893704901,
        5.0072733496164155,
        5.00729480552793,
        5.007316261439444,
        5.007337717350958,
        5.007359173262472,
        5.007380629173986,
        5.0074020850855,
        5.0074235409970145,
        5.007444996908529,
        5.007465976022009,
        5.007487431933523,
        5.007508887845037,
        5.007530343756551,
        5.007551799668065,
        5.0075732555795796,
        5.007594711491094,
        5.007616167402608,
        5.007637623314122,
        5.007659079225636,
        5.00768053513715,
        5.007701991048664,
        5.007723446960179,
        5.007744902871693,
        5.007766358783207,
        5.007787814694721,
        5.007808793808202,
        5.007830249719716,
        5.00785170563123,
        5.0078731615427445,
        5.007894617454259,
        5.007916073365773,
        5.007937529277287,
        5.007958985188801,
        5.007980441100315,
        5.008001897011829,
        5.00802287612531,
        5.008044332036824,
        5.008065787948338,
        5.008087243859852,
        5.008108699771366,
        5.00813015568288,
        5.0081516115943945,
        5.008172590707875,
        5.008194046619389,
        5.008215502530904,
        5.008236958442418,
        5.008258414353932,
        5.008279870265446,
        5.0083008493789265,
        5.008322305290441,
        5.008343761201955,
        5.008365217113469,
        5.008386673024983,
        5.008408128936497,
        5.008429108049977,
        5.008450563961492,
        5.008472019873006,
        5.00849347578452,
        5.008514931696034,
        5.008535910809515,
        5.008557366721029,
        5.008578822632543,
        5.0086002785440575,
        5.008621257657538,
        5.008642713569052,
        5.008664169480566,
        5.00868562539208,
        5.008707081303594,
        5.0087280604170745,
        5.008749516328589,
        5.008770972240104,
        5.008792428151618,
        5.008813407265098,
        5.008834863176612,
        5.008856319088126,
        5.0088777749996405,
        5.008898754113121,
        5.008920210024635,
        5.008941665936149,
        5.00896264504963,
        5.008984100961144,
        5.009005556872658,
        5.0090270127841725,
        5.009047991897653,
        5.009069447809167,
        5.009090903720681,
        5.009111882834161,
        5.009133338745675,
        5.0091547946571895,
        5.009175773770671,
        5.009197229682185,
        5.009218685593699,
        5.009239664707179,
        5.009261120618693,
        5.009282576530207,
        5.009303555643688,
        5.009325011555203,
        5.009346467466717,
        5.009367446580197,
        5.009388902491711,
        5.009410358403225,
        5.009431337516705,
        5.00945279342822,
        5.009474249339734,
        5.009495228453215,
        5.009516684364729,
        5.009537663478209,
        5.009559119389723,
        5.0095805753012375,
        5.009601554414718,
        5.009623010326232,
        5.009644466237746,
        5.009665445351227,
        5.009686901262741,
        5.009707880376221,
        5.0097293362877355,
        5.009750315401216,
        5.00977177131273,
        5.009793227224244,
        5.009814206337725,
        5.009835662249239,
        5.0098566413627195,
        5.009878097274234,
        5.009899076387715,
        5.009920532299229,
        5.009941988210743,
        5.009962967324223,
        5.009984423235737,
        5.0100054023492175,
        5.010026858260732,
        5.010047837374213,
        5.010069293285727,
        5.010090272399207,
        5.010111728310721,
        5.0101327074242015,
        5.010154163335716,
        5.010175142449197,
        5.010196598360711,
        5.010217577474191,
        5.010239033385705,
        5.010260012499185,
        5.0102814684106995,
        5.010302447524181,
        5.010323903435695,
        5.010344882549175,
        5.010366338460689,
        5.010387317574169,
        5.010408773485684,
        5.010429752599165,
        5.010451208510679,
        5.010472187624159,
        5.010493643535673,
        5.010514622649154,
        5.010536078560668,
        5.0105570576741485,
        5.010578513585663,
        5.010599492699143,
        5.010620471812624,
        5.010641927724138,
        5.010662906837618,
        5.010684362749132,
        5.010705341862613,
        5.010726797774127,
        5.010747776887608,
        5.010768756001088,
        5.010790211912602,
        5.010811191026082,
        5.010832646937597,
        5.010853626051078,
        5.010874605164558,
        5.010896061076072,
        5.010917040189552,
        5.010938496101066,
        5.010959475214547,
        5.010980454328028,
        5.011001910239542,
        5.011022889353023,
        5.011044345264537,
        5.011065324378017,
        5.011086303491497,
        5.011107759403012,
        5.011128738516493,
        5.011149717629973,
        5.011171173541487,
        5.011192152654967,
        5.011213131768448,
        5.011234587679962,
        5.011255566793443,
        5.011276545906923,
        5.011298001818437,
        5.011318980931918,
        5.011339960045398,
        5.011361415956912,
        5.011382395070393,
        5.011403374183874,
        5.011424830095388,
        5.011445809208868,
        5.011466788322348,
        5.011488244233862,
        5.0115092233473435,
        5.011530202460824,
        5.011551181574305,
        5.011572637485819,
        5.011593616599299,
        5.011614595712779,
        5.01163557482626,
        5.011657030737775,
        5.011678009851255,
        5.011698988964735,
        5.011720444876249,
        5.01174142398973,
        5.01176240310321,
        5.011783382216691,
        5.011804838128205,
        5.011825817241686,
        5.011846796355166,
        5.011867775468646,
        5.011888754582127,
        5.0119102104936415,
        5.011931189607122,
        5.011952168720602,
        5.011973147834083,
        5.011994603745597,
        5.012015582859077,
        5.0120365619725575,
        5.012057541086039,
        5.012078520199519,
        5.012099976111033,
        5.012120955224514,
        5.012141934337994,
        5.0121629134514745,
        5.012183892564956,
        5.012204871678436,
        5.01222632758995,
        5.01224730670343,
        5.012268285816911,
        5.012289264930391,
        5.012310244043872,
        5.012331223157353,
        5.012352679068867,
        5.012373658182347,
        5.012394637295827,
        5.012415616409308,
        5.0124365955227885,
        5.012457574636269,
        5.01247855374975,
        5.012500009661264,
        5.012520988774744,
        5.012541967888224,
        5.0125629470017055,
        5.012583926115186,
        5.012604905228667,
        5.012625884342147,
        5.012646863455627,
        5.012667842569108,
        5.012689298480622,
        5.012710277594103,
        5.012731256707583,
        5.012752235821064,
        5.012773214934544,
        5.012794194048024,
        5.012815173161505,
        5.012836152274986,
        5.012857131388466,
        5.012878110501947,
        5.012899089615427,
        5.012920068728907,
        5.012941047842388,
        5.012962026955869,
        5.012983006069349,
        5.013004461980863,
        5.013025441094344,
        5.013046420207824,
        5.013067399321304,
        5.0130883784347855,
        5.013109357548266,
        5.013130336661746,
        5.013151315775227,
        5.013172294888707,
        5.013193274002188,
        5.0132142531156685,
        5.013235232229149,
        5.01325621134263,
        5.01327719045611,
        5.01329816956959,
        5.013319148683071,
        5.0133401277965515,
        5.013361106910032,
        5.013382086023513,
        5.013403065136993,
        5.013424044250473,
        5.013445023363954,
        5.0134660024774345,
        5.013486504792882,
        5.013507483906362,
        5.013528463019842,
        5.013549442133323,
        5.013570421246803,
        5.0135914003602835,
        5.013612379473765,
        5.013633358587245,
        5.013654337700725,
        5.013675316814206,
        5.013696295927686,
        5.013717275041167,
        5.013738254154648,
        5.013759233268128,
        5.013780212381609,
        5.013800714697055,
        5.013821693810536,
        5.013842672924016,
        5.013863652037497,
        5.013884631150978,
        5.013905610264458,
        5.013926589377938,
        5.013947568491419,
        5.013968547604899,
        5.0139890499203466,
        5.014010029033827,
        5.014031008147307,
        5.014051987260788,
        5.014072966374268,
        5.0140939454877484,
        5.0141149246012295,
        5.01413590371471,
        5.014156406030157,
        5.014177385143637,
        5.014198364257117,
        5.014219343370598,
        5.014240322484079,
        5.01426130159756,
        5.014281803913006,
        5.014302783026487,
        5.014323762139967,
        5.014344741253447,
        5.0143657203669285,
        5.014386222682375,
        5.014407201795856,
        5.014428180909336,
        5.014449160022816,
        5.014470139136297,
        5.014490641451744,
        5.014511620565225,
        5.014532599678705,
        5.014553578792185,
        5.014574557905666,
        5.0145950602211125,
        5.0146160393345935,
        5.014637018448074,
        5.014657997561554,
        5.014678499877001,
        5.014699478990481,
        5.014720458103962,
        5.014741437217443,
        5.01476193953289,
        5.01478291864637,
        5.014803897759851,
        5.014824876873331,
        5.014845379188778,
        5.014866358302259,
        5.014887337415739,
        5.01490831652922,
        5.014928818844666,
        5.014949797958147,
        5.014970777071627,
        5.014991279387075,
        5.015012258500555,
        5.015033237614035,
        5.015053739929482,
        5.015074719042962,
        5.015095698156443,
        5.015116677269924,
        5.015137179585371,
        5.015158158698851,
        5.015179137812331,
        5.015199640127778,
        5.0152206192412585,
        5.01524159835474,
        5.015262100670186,
        5.015283079783667,
        5.015304058897147,
        5.015324561212594,
        5.0153455403260745,
        5.015366519439556,
        5.015387021755002,
        5.015408000868483,
        5.015428503183929,
        5.01544948229741,
        5.0154704614108905,
        5.015490963726338,
        5.015511942839818,
        5.015532921953298,
        5.015553424268745,
        5.015574403382225,
        5.0155949056976725,
        5.015615884811153,
        5.015636863924634,
        5.01565736624008,
        5.015678345353561,
        5.015698847669007,
        5.0157198267824885,
        5.015740805895969,
        5.015761308211416,
        5.015823768753823,
        5.0158442710692706,
        5.015927710725159,
        5.0159482130406055,
        5.0159691921540865,
        5.01603117589846,
        5.016135117869796,
        5.016735883392192,
        5.016839348565494,
        5.016942813738795,
        5.016963792852276,
        5.01702577659665,
        5.017046278912097,
        5.017066781227544,
        5.0172532092587,
        5.017314716205041,
        5.017521169753611,
        5.01783347246565,
        5.021249730376737,
        5.021351288357904,
        5.021473348654518,
        5.021513876487378,
        5.021534378802825,
        5.021574906635685,
        5.021594932153098,
        5.021615434468545,
        5.021696490134265,
        5.021716992449712,
        5.0217370179671255,
        5.021798048115432,
        5.021818550430879,
        5.021919631614012,
        5.021940133929459,
        5.0219606362449065,
        5.02198066176232,
        5.022001164077766,
        5.022021189595179,
        5.022041691910626,
        5.0220617174280395,
        5.022082219743487,
        5.0221022452609,
        5.022142773093759,
        5.0221632754092065,
        5.02218330092662,
        5.022203803242067,
        5.02222382875948,
        5.022244331074926,
        5.0222643565923395,
        5.022284858907787,
        5.0223048844252,
        5.022324909942613,
        5.02234541225806,
        5.022365437775473,
        5.02238594009092,
        5.022405965608333,
        5.02242646792378,
        5.022446493441193,
        5.02246699575664,
        5.0224870212740536,
        5.022507523589501,
        5.022527549106914,
        5.022547574624327,
        5.022568076939773,
        5.022588102457187,
        5.022608604772634,
        5.022628630290047,
        5.022649132605494,
        5.022669158122907,
        5.0226891836403205,
        5.022709685955767,
        5.02272971147318,
        5.022750213788627,
        5.02277023930604,
        5.0227902648234535,
        5.022810767138901,
        5.022830792656314,
        5.022850818173727,
        5.022871320489173,
        5.0228913460065865,
        5.022911848322034,
        5.022972401672307,
        5.02299242718972,
        5.023012452707134,
        5.023032955022581,
        5.023052980539994,
        5.023073006057407,
        5.023093508372853,
        5.023113533890267,
        5.02313355940768,
        5.023154061723127,
        5.02317408724054,
        5.023194112757953,
        5.0232146150734005,
        5.023234640590814,
        5.023254666108227,
        5.023275168423673,
        5.023295193941086,
        5.0233152194585,
        5.023335721773947,
        5.02335574729136,
        5.023375772808773,
        5.023395798326186,
        5.0234163006416335,
        5.023436326159047,
        5.02345635167646,
        5.023476853991906,
        5.023496879509319,
        5.0235169050267325,
        5.023536930544147,
        5.023557432859593,
        5.023577458377006,
        5.023597483894419,
        5.0236175094118325,
        5.02363801172728,
        5.023658037244693,
        5.023678062762106,
        5.023698088279519,
        5.023718590594966,
        5.02373861611238,
        5.023758641629793,
        5.023778667147206,
        5.023798692664619,
        5.0238191949800655,
        5.023839220497479,
        5.023859246014892,
        5.023879271532305,
        5.023899773847752,
        5.023919799365165,
        5.023939824882579,
        5.023959850399992,
        5.023979875917405,
        5.023999901434818,
        5.024020403750265,
        5.024040429267679,
        5.024060454785092,
        5.024080480302505,
        5.024100505819918,
        5.024121008135365,
        5.0241410336527785,
        5.024161059170192,
        5.024181084687605,
        5.024201110205018,
        5.024221135722431,
        5.0242411612398445,
        5.024261663555291,
        5.024281689072704,
        5.024301714590117,
        5.02432174010753,
        5.024341765624944,
        5.024361791142357,
        5.02438181665977,
        5.02442234449263,
        5.024442370010044,
        5.024462395527457,
        5.02448242104487,
        5.024502446562283,
        5.024522472079696,
        5.02454249759711,
        5.024562523114523,
        5.024582548631936,
        5.024602574149349,
        5.024623076464796,
        5.0246431019822095,
        5.024663127499623,
        5.024683153017036,
        5.024703178534449,
        5.024723204051862,
        5.0247432295692755,
        5.024763255086689,
        5.024783280604102,
        5.024803306121515,
        5.024823331638928,
        5.024843357156342,
        5.024863382673755,
        5.024883408191168,
        5.024903433708581,
        5.024923459225994,
        5.024943484743408,
        5.024963510260821,
        5.024983535778234,
        5.025003561295647,
        5.02502358681306,
        5.025043612330474,
        5.025063637847887,
        5.0250836633653,
        5.025103688882713,
        5.025123714400126,
        5.02514373991754,
        5.025163765434953,
        5.025183790952366,
        5.025203816469779,
        5.025223841987192,
        5.025243867504606,
        5.025263893022019,
        5.025283918539432,
        5.025303944056845,
        5.025323969574258,
        5.025343995091672,
        5.025364020609085,
        5.025384046126498,
        5.025404071643911,
        5.025424097161324,
        5.025444122678738,
        5.025464148196151,
        5.025484173713564,
        5.025504199230977,
        5.0255242247483904,
        5.025543773467771,
        5.025563798985184,
        5.025583824502597,
        5.02560385002001,
        5.025623875537423,
        5.025643901054837,
        5.02566392657225,
        5.025683952089663,
        5.025703977607076,
        5.025724003124489,
        5.025744028641903,
        5.025763577361282,
        5.025783602878695,
        5.025803628396108,
        5.0258236539135215,
        5.025843679430935,
        5.025863704948348,
        5.025883730465761,
        5.025903755983174,
        5.025923304702554,
        5.025943330219968,
        5.025963355737381,
        5.025983381254794,
        5.026003406772207,
        5.0260234322896205,
        5.026042981009,
        5.026063006526413,
        5.026083032043826,
        5.026103057561239,
        5.0261230830786525,
        5.026143108596066,
        5.026162657315445,
        5.026182682832858,
        5.026202708350271,
        5.026222733867685,
        5.026242759385098,
        5.026262308104478,
        5.026282333621891,
        5.026302359139304,
        5.0263223846567175,
        5.026342410174131,
        5.02636195889351,
        5.026381984410923,
        5.026402009928336,
        5.02642203544575,
        5.02644158416513,
        5.026461609682543,
        5.026481635199956,
        5.026501660717369,
        5.026521686234783,
        5.026541234954162,
        5.026561260471575,
        5.026581285988988,
        5.026601311506401,
        5.026620860225781,
        5.026640885743194,
        5.026660911260607,
        5.026680459979987,
        5.0267004854974005,
        5.026720511014814,
        5.026740536532227,
        5.026760085251606,
        5.026780110769019,
        5.0268001362864325,
        5.026819685005813,
        5.026839710523226,
        5.026859736040639,
        5.026879761558052,
        5.0268993102774315,
        5.026919335794845,
        5.026939361312258,
        5.026958910031637,
        5.02697893554905,
        5.026998961066464,
        5.027018509785844,
        5.027038535303257,
        5.02705856082067,
        5.027078109540049,
        5.027098135057463,
        5.027118160574876,
        5.027137709294255,
        5.027197309048462,
        5.027217334565875,
        5.027237360083288,
        5.027256908802667,
        5.0272769343200805,
        5.02729648303946,
        5.027316508556873,
        5.027336534074286,
        5.027356082793666,
        5.0273761083110795,
        5.027395657030459,
        5.027415682547872,
        5.027435708065285,
        5.0274752823020785,
        5.027494831021458,
        5.027574456293077,
        5.027594005012457,
        5.02761403052987,
        5.027633579249249,
        5.0276536047666625,
        5.027673630284076,
        5.027693179003455,
        5.0277527787576615,
        5.027772327477041,
        5.027891526985453,
        5.0279506499416255,
        5.027970675459039,
        5.027990224178418,
        5.028010249695831,
        5.028069372652004,
        5.028108946888796,
        5.0281289724062095,
        5.028168546643002,
        5.029411082318688,
        5.029666646064724,
        5.029725292222863,
        5.029745317740276,
        5.029764866459655,
        5.030000404688278,
        5.030019953407657,
        5.030039502127036,
        5.0300595276444495,
        5.03007907636383,
        5.030098625083209,
        5.030118173802589,
        5.030137722521968,
        5.030157271241348,
        5.030176819960728,
        5.030196845478141,
        5.03021639419752,
        5.0302359429168995,
        5.03025549163628,
        5.030275040355659,
        5.030294589075038,
        5.030314137794418,
        5.0303336865137975,
        5.03037326075059,
        5.03039280946997,
        5.030431906908729,
        5.030451455628109,
        5.030471004347488,
        5.030490553066867,
        5.0305101017862475,
        5.030549199225006,
        5.030568747944386,
        5.030588296663765,
        5.030607845383145,
        5.030627870900558,
        5.030647419619938,
        5.030666968339317,
        5.030686517058697,
        5.030706065778077,
        5.030745163216836,
        5.030764711936215,
        5.030784260655595,
        5.030803809374975,
        5.030823358094354,
        5.030842906813733,
        5.030862455533113,
        5.030882004252493,
        5.030901552971872,
        5.030921101691252,
        5.030940650410631,
        5.030960199130011,
        5.030979747849391,
        5.03099929656877,
        5.031018845288149,
        5.031038394007529,
        5.031057942726909,
        5.031077491446288,
        5.031097040165668,
        5.031116588885047,
        5.031136137604427,
        5.031155686323807,
        5.031175235043186,
        5.031194783762566,
        5.031214332481945,
        5.031233881201325,
        5.031253429920705,
        5.031272978640084,
        5.03129205056143,
        5.0313115992808095,
        5.031331148000189,
        5.031350696719569,
        5.031370245438948,
        5.031389794158327,
        5.031409342877708,
        5.031448440316466,
        5.031507086474605,
        5.031526635193985,
        5.03154570711533,
        5.03156525583471,
        5.03158480455409,
        5.031604353273469,
        5.031643450712228,
        5.0316629994316076,
        5.031682548150988,
        5.031701620072333,
        5.031721168791713,
        5.031740717511092,
        5.031760266230473,
        5.031779814949852,
        5.031799363669231,
        5.031818912388611,
        5.0318379843099565,
        5.031857533029337,
        5.031877081748716,
        5.031896630468095,
        5.031916179187475,
        5.031935727906855,
        5.031955276626234,
        5.03197434854758,
        5.031993897266959,
        5.0320134459863395,
        5.032032994705719,
        5.032052543425098,
        5.032071615346444,
        5.0320911640658235,
        5.032110712785204,
        5.032130261504583,
        5.032149810223962,
        5.032168882145308,
        5.032188430864688,
        5.032207979584068,
        5.032227528303447,
        5.032247077022826,
        5.0322661489441725,
        5.032285697663552,
        5.032305246382932,
        5.032324795102311,
        5.032343867023657,
        5.032363415743037,
        5.032382964462417,
        5.032402513181796,
        5.032421585103142,
        5.0324411338225215,
        5.032460682541901,
        5.032480231261281,
        5.032499303182626,
        5.032518851902006,
        5.032538400621386,
        5.032557949340765,
        5.032577021262111,
        5.03259656998149,
        5.0326161187008704,
        5.032635190622216,
        5.032654739341596,
        5.032674288060975,
        5.032693836780354,
        5.032712908701701,
        5.03273245742108,
        5.03275200614046,
        5.032771078061805,
        5.0327906267811855,
        5.032810175500565,
        5.032829247421911,
        5.03284879614129,
        5.03286834486067,
        5.032887416782016,
        5.032906965501396,
        5.032926514220775,
        5.032945586142121,
        5.0329651348615005,
        5.03298468358088,
        5.033003755502226,
        5.033023304221605,
        5.033042852940985,
        5.033061924862331,
        5.033081473581711,
        5.03310102230109,
        5.033120094222436,
        5.033139642941816,
        5.033158714863162,
        5.033178263582541,
        5.03319781230192,
        5.0332168842232665,
        5.033236432942646,
        5.033255504863992,
        5.033275053583371,
        5.033294602302751,
        5.033313674224097,
        5.033333222943477,
        5.033352294864822,
        5.033371843584202,
        5.033391392303582,
        5.033410464224928,
        5.033430012944307,
        5.033449084865653,
        5.0334686335850325,
        5.033488182304413,
        5.033507254225758,
        5.033526802945138,
        5.033545874866483,
        5.033565423585864,
        5.033584495507209,
        5.033604044226589,
        5.033623116147934,
        5.0336426648673145,
        5.03366173678866,
        5.03368128550804,
        5.033700834227419,
        5.033719906148765,
        5.033739454868145,
        5.033758526789491,
        5.03377807550887,
        5.033797147430216,
        5.033816696149596,
        5.033835768070942,
        5.033855316790321,
        5.033874388711667,
        5.0338939374310465,
        5.033913009352393,
        5.033932558071772,
        5.033951629993118,
        5.033971178712497,
        5.033990250633844,
        5.034009799353223,
        5.034028871274569,
        5.034047943195915,
        5.034067491915295,
        5.034086563836641,
        5.03410611255602,
        5.034125184477366,
        5.0341447331967455,
        5.034163805118092,
        5.034183353837471,
        5.034202425758817,
        5.034221974478196,
        5.034241046399543,
        5.034260118320888,
        5.034279667040268,
        5.034298738961613,
        5.0343182876809935,
        5.034337359602339,
        5.034356908321719,
        5.034375980243064,
        5.0343950521644105,
        5.03441460088379,
        5.034433672805136,
        5.034453221524515,
        5.0344722934458614,
        5.034491365367208,
        5.034510914086587,
        5.034529986007933,
        5.034549534727312,
        5.034568606648659,
        5.034587678570005,
        5.034607227289384,
        5.03462629921073,
        5.0346453711320756,
        5.034664919851456,
        5.034683991772801,
        5.034703540492181,
        5.0347226124135265,
        5.034741684334873,
        5.034761233054252,
        5.034780304975598,
        5.034799376896944,
        5.034818925616324,
        5.03483799753767,
        5.034857069459015,
        5.034876618178395,
        5.034895690099741,
        5.034914762021087,
        5.034934310740466,
        5.034953382661812,
        5.0349724545831585,
        5.034992003302538,
        5.035011075223884,
        5.03503014714523,
        5.035049219066575,
        5.035068767785956,
        5.035087839707301,
        5.035106911628647,
        5.035126460348026,
        5.035145532269373,
        5.035164604190719,
        5.035183676112064,
        5.035203224831444,
        5.0352222967527895,
        5.035241368674136,
        5.035260440595482,
        5.035279989314861,
        5.035299061236207,
        5.035318133157553,
        5.035337681876933,
        5.035356753798278,
        5.035375825719624,
        5.035394897640971,
        5.035413969562316,
        5.035433518281696,
        5.035452590203041,
        5.035471662124388,
        5.035490734045734,
        5.035510282765113,
        5.035529354686459,
        5.0355484266078046,
        5.035567498529151,
        5.035586570450497,
        5.035606119169876,
        5.035625191091222,
        5.035644263012569,
        5.035663334933914,
        5.03568240685526,
        5.035701955574639,
        5.035721027495986,
        5.035740099417332,
        5.035759171338677,
        5.035778243260023,
        5.035797791979403,
        5.035816863900749,
        5.035835935822095,
        5.03585500774344,
        5.0358740796647865,
        5.035893151586133,
        5.035912223507478,
        5.035931772226858,
        5.0359508441482035,
        5.03596991606955,
        5.035988987990896,
        5.036008059912241,
        5.036027131833587,
        5.036046203754934,
        5.036065752474313,
        5.036084824395659,
        5.036103896317004,
        5.036122968238351,
        5.036142040159697,
        5.036161112081043,
        5.036180184002388,
        5.0361992559237345,
        5.036218327845081,
        5.03623787656446,
        5.036256948485806,
        5.0362760204071515,
        5.036295092328498,
        5.036314164249844,
        5.036333236171189,
        5.036352308092535,
        5.036371380013882,
        5.036390451935227,
        5.036409523856573,
        5.036428595777919,
        5.036447667699265,
        5.036466739620611,
        5.036485811541957,
        5.036504883463302,
        5.0365244321826825,
        5.036543504104028,
        5.036562576025374,
        5.03658164794672,
        5.036600719868066,
        5.036619791789412,
        5.036638863710758,
        5.036657935632103,
        5.0366770075534495,
        5.036696079474796,
        5.036715151396142,
        5.036734223317487,
        5.036753295238833,
        5.03677236716018,
        5.036791439081525,
        5.036810511002871,
        5.036829582924217,
        5.036848654845563,
        5.036867726766909,
        5.036886798688255,
        5.0369058706096,
        5.036924942530947,
        5.036944014452293,
        5.036963086373638,
        5.036982158294984,
        5.0370012302163305,
        5.037020302137676,
        5.037039374059022,
        5.037057969182334,
        5.0370770411036805,
        5.037096113025026,
        5.037115184946372,
        5.037134256867718,
        5.0371533287890635,
        5.03717240071041,
        5.037191472631756,
        5.037210544553101,
        5.0372296164744474,
        5.037248688395794,
        5.03726776031714,
        5.037286832238485,
        5.037305904159831,
        5.037324499283144,
        5.03734357120449,
        5.037362643125835,
        5.037381715047181,
        5.0374007869685276,
        5.037419858889873,
        5.037438930811219,
        5.037458002732565,
        5.037477074653911,
        5.037496146575257,
        5.037514741698569,
        5.037533813619915,
        5.037552885541261,
        5.037571957462607,
        5.037591029383953,
        5.037610101305298,
        5.0376291732266445,
        5.037647768349957,
        5.037666840271303,
        5.037685912192648,
        5.0377049841139945,
        5.037724056035341,
        5.037743127956686,
        5.037761723079999,
        5.0377807950013445,
        5.037799866922691,
        5.037818938844037,
        5.037838010765382,
        5.037857082686728,
        5.037875677810041,
        5.037894749731387,
        5.037913821652732,
        5.037932893574078,
        5.037951965495425,
        5.037970560618737,
        5.037989632540082,
        5.038008704461428,
        5.0380277763827745,
        5.03804684830412,
        5.038065443427432,
        5.038084515348778,
        5.0381035872701245,
        5.03812265919147,
        5.038141254314782,
        5.038160326236128,
        5.0381793981574745,
        5.03819847007882,
        5.038217065202132,
        5.038236137123478,
        5.0382552090448245,
        5.03827428096617,
        5.038292876089482,
        5.04161234399974,
        5.0454238674807215,
        5.045446276988303,
        5.045468686495884,
        5.045491096003466,
        5.045513982309081,
        5.045536391816662,
        5.045558801324243,
        5.045581210831825,
        5.045603620339406,
        5.045626506645021,
        5.045648916152603,
        5.045671325660185,
        5.045693735167766,
        5.045716144675347,
        5.045739030980962,
        5.045761440488544,
        5.045783849996125,
        5.045806259503706,
        5.045828669011288,
        5.045851555316903,
        5.045873964824485,
        5.045896374332066,
        5.045918783839648,
        5.045941193347229,
        5.04596360285481,
        5.045986489160426,
        5.046008898668007,
        5.046031308175588,
        5.04605371768317,
        5.0460761271907515,
        5.046098536698333,
        5.046120946205915,
        5.046143355713496,
        5.046166242019111,
        5.046188651526692,
        5.046211061034274,
        5.046233470541855,
        5.046255880049436,
        5.046278289557018,
        5.0463006990645995,
        5.046323108572181,
        5.046345518079763,
        5.046367927587344,
        5.046390813892959,
        5.04641322340054,
        5.046435632908122,
        5.046458042415703,
        5.046480451923284,
        5.0465028614308665,
        5.046525270938448,
        5.04654768044603,
        5.046570089953611,
        5.046592499461192,
        5.046614908968774,
        5.046637318476355,
        5.046659727983936,
        5.046682137491518,
        5.046704546999099,
        5.046726956506681,
        5.046749366014263,
        5.046771775521844,
        5.046794185029425,
        5.046816594537007,
        5.046839004044588,
        5.046861413552169,
        5.046883823059751,
        5.046906232567332,
        5.0469286420749135,
        5.046951051582496,
        5.046973461090077,
        5.046995870597658,
        5.04701828010524,
        5.047040689612821,
        5.047063099120403,
        5.047085508627984,
        5.047107918135565,
        5.047130327643147,
        5.0471527371507285,
        5.04717514665831,
        5.047197556165892,
        5.047219965673473,
        5.047242375181054,
        5.047264784688636,
        5.047287194196217,
        5.047309603703798,
        5.04733201321138,
        5.0473544227189615,
        5.047376832226543,
        5.047399241734125,
        5.047421174443672,
        5.047443583951254,
        5.047465993458835,
        5.047488402966416,
        5.047510812473998,
        5.047533221981579,
        5.0475556314891605,
        5.047578040996743,
        5.047600450504324,
        5.047622860011906,
        5.047644792721453,
        5.047667202229035,
        5.047689611736616,
        5.047712021244197,
        5.047734430751779,
        5.0477568402593604,
        5.047779249766942,
        5.047801659274524,
        5.047823591984071,
        5.047846001491653,
        5.047868410999234,
        5.047890820506815,
        5.047913230014397,
        5.047935639521978,
        5.047957572231526,
        5.047979981739108,
        5.048002391246689,
        5.048024800754271,
        5.048047210261852,
        5.0480691429714,
        5.048091552478981,
        5.048113961986562,
        5.048136371494144,
        5.048158781001725,
        5.0481811905093075,
        5.048203123218855,
        5.048225532726437,
        5.048247942234018,
        5.048270351741599,
        5.048292284451147,
        5.048314693958728,
        5.04833710346631,
        5.048359512973891,
        5.0483814456834395,
        5.048403855191021,
        5.048426264698602,
        5.048448674206184,
        5.048470606915731,
        5.048493016423313,
        5.048515425930894,
        5.048537835438475,
        5.048559768148023,
        5.048582177655605,
        5.048604587163187,
        5.048626996670768,
        5.048648929380316,
        5.048671338887897,
        5.048693748395478,
        5.048715681105026,
        5.048738090612608,
        5.048760500120189,
        5.0487829096277705,
        5.048804842337319,
        5.0488272518449,
        5.048849661352482,
        5.048871594062029,
        5.048894003569611,
        5.048916413077192,
        5.04893834578674,
        5.048960755294321,
        5.048983164801903,
        5.049005097511451,
        5.049027507019032,
        5.049049916526614,
        5.049071849236161,
        5.049094258743743,
        5.049116668251324,
        5.049138600960872,
        5.0491610104684534,
        5.0491829431780015,
        5.049205352685583,
        5.049227762193164,
        5.049249694902712,
        5.049272104410294,
        5.049294513917875,
        5.049316446627423,
        5.049338856135004,
        5.049360788844552,
        5.049383198352134,
        5.049405607859715,
        5.049427540569263,
        5.049449950076844,
        5.049471882786392,
        5.049494292293973,
        5.049516225003521,
        5.049538634511102,
        5.049561044018684,
        5.049582976728232,
        5.049605386235814,
        5.049627318945361,
        5.049649728452943,
        5.04967166116249,
        5.049694070670072,
        5.049716003379619,
        5.049738412887201,
        5.0497608223947825,
        5.049782755104331,
        5.049805164611912,
        5.04982709732146,
        5.049849506829041,
        5.049871439538589,
        5.04989384904617,
        5.049915781755718,
        5.0499381912632995,
        5.0499601239728475,
        5.049982533480429,
        5.050004466189977,
        5.050026875697558,
        5.050048808407106,
        5.050071217914687,
        5.050093150624235,
        5.050115560131816,
        5.0501374928413645,
        5.050159902348946,
        5.050181835058494,
        5.050204244566075,
        5.050226177275623,
        5.050248109985171,
        5.050270519492752,
        5.0502924522023,
        5.050314861709881,
        5.0503367944194295,
        5.050359203927011,
        5.050381136636559,
        5.05040354614414,
        5.050425478853688,
        5.050447411563236,
        5.050469821070817,
        5.050491753780365,
        5.0505141632879464,
        5.0505360959974945,
        5.050558028707042,
        5.050580438214624,
        5.050602370924171,
        5.050624780431753,
        5.0506467131413,
        5.050668645850848,
        5.050691055358429,
        5.0507129880679775,
        5.050735397575559,
        5.050757330285107,
        5.050779262994655,
        5.050801672502236,
        5.050823605211784,
        5.050845537921331,
        5.050867947428913,
        5.0508898801384605,
        5.050911812848009,
        5.050934222355591,
        5.050956155065138,
        5.050978087774686,
        5.051000497282267,
        5.051022429991815,
        5.051044362701363,
        5.051066772208944,
        5.0510887049184925,
        5.05111063762804,
        5.051133047135622,
        5.051154979845169,
        5.051176912554717,
        5.051199322062298,
        5.051221254771846,
        5.051243187481394,
        5.0512655969889755,
        5.051287529698524,
        5.051309462408071,
        5.051331395117619,
        5.0513538046252,
        5.051375737334748,
        5.051397670044296,
        5.051419602753843,
        5.051442012261425,
        5.0514639449709735,
        5.051485877680521,
        5.051507810390069,
        5.05153021989765,
        5.051552152607198,
        5.051574085316746,
        5.051596018026293,
        5.051618427533875,
        5.051640360243423,
        5.051662292952971,
        5.051684225662519,
        5.0517066351701,
        5.051728567879648,
        5.051750500589195,
        5.051772433298743,
        5.051794366008291,
        5.0518167755158725,
        5.051838708225421,
        5.051860640934968,
        5.051882573644516,
        5.051904506354064,
        5.051926915861645,
        5.051948848571193,
        5.05197078128074,
        5.0519927139902885,
        5.052014646699837,
        5.052036579409385,
        5.052058988916966,
        5.052080921626514,
        5.052102854336061,
        5.052124787045609,
        5.052146719755157,
        5.0521686524647045,
        5.052190585174253,
        5.052212994681834,
        5.052234927391382,
        5.05225686010093,
        5.052278792810477,
        5.052300725520025,
        5.052322658229573,
        5.0523445909391205,
        5.052366523648669,
        5.05238893315625,
        5.052410865865798,
        5.052432798575346,
        5.052454731284893,
        5.052476663994441,
        5.052498596703989,
        5.0525205294135365,
        5.0525424621230846,
        5.052564394832633,
        5.052586327542181,
        5.052608260251728,
        5.052630192961276,
        5.052652602468857,
        5.052674535178405,
        5.052696467887953,
        5.0527184005975005,
        5.052740333307049,
        5.052762266016597,
        5.052784198726144,
        5.052806131435692,
        5.05282806414524,
        5.052849996854787,
        5.052871929564335,
        5.0528938622738835,
        5.052915794983431,
        5.052937727692979,
        5.052959660402527,
        5.052981593112074,
        5.053003525821622,
        5.05302545853117,
        5.0530473912407174,
        5.0530693239502655,
        5.053091256659814,
        5.053113189369362,
        5.053135122078909,
        5.053157054788457,
        5.053178987498005,
        5.053200920207552,
        5.0532228529171,
        5.0532447856266485,
        5.053266718336196,
        5.053288651045744,
        5.053310583755292,
        5.053332516464839,
        5.053354449174387,
        5.053376381883935,
        5.053398314593482,
        5.0534202473030305,
        5.053441703214545,
        5.053463635924093,
        5.05348556863364,
        5.053507501343188,
        5.053529434052736,
        5.053551366762283,
        5.053573299471831,
        5.0535952321813795,
        5.053617164890927,
        5.053639097600475,
        5.053661030310023,
        5.053682486221537,
        5.053704418931085,
        5.053726351640632,
        5.05374828435018,
        5.0537702170597285,
        5.053792149769276,
        5.053814082478824,
        5.053836015188372,
        5.053857947897919,
        5.053879403809433,
        5.053901336518981,
        5.053923269228529,
        5.053945201938077,
        5.053967134647625,
        5.053989067357173,
        5.054010523268687,
        5.054032455978234,
        5.054054388687782,
        5.05407632139733,
        5.0540982541068775,
        5.054120186816426,
        5.05414164272794,
        5.054163575437488,
        5.054185508147036,
        5.054207440856583,
        5.054229373566131,
        5.054250829477645,
        5.0542727621871935,
        5.054294694896741,
        5.054316627606289,
        5.054338560315837,
        5.054360016227351,
        5.054381948936898,
        5.054403881646446,
        5.054425814355994,
        5.054447747065542,
        5.054469202977056,
        5.054491135686604,
        5.054513068396152,
        5.054535001105699,
        5.054556457017213,
        5.054578389726761,
        5.054600322436309,
        5.054622255145857,
        5.054643711057371,
        5.054665643766919,
        5.054687576476467,
        5.054709032387981,
        5.054730965097529,
        5.054752897807076,
        5.0547748305166245,
        5.054796286428139,
        5.054818219137687,
        5.054840151847234,
        5.054861607758748,
        5.054883540468296,
        5.054905473177844,
        5.054927405887391,
        5.054948861798906,
        5.054970794508454,
        5.054992727218002,
        5.055014183129516,
        5.055036115839063,
        5.055058048548611,
        5.055079504460125,
        5.055101437169673,
        5.055123369879221,
        5.055144825790735,
        5.055166758500283,
        5.055188691209831,
        5.055210147121345,
        5.055232079830892,
        5.055253535742406,
        5.0552754684519545,
        5.055297401161503,
        5.055318857073017,
        5.055340789782565,
        5.055362722492112,
        5.055384178403626,
        5.055406111113174,
        5.055427567024688,
        5.0554494997342365,
        5.055471432443784,
        5.055492888355298,
        5.055514821064846,
        5.05553627697636,
        5.055558209685908,
        5.055580142395455,
        5.0556015983069695,
        5.055623531016518,
        5.055644986928032,
        5.05566691963758,
        5.055688375549094,
        5.055710308258641,
        5.055732240968189,
        5.055753696879703,
        5.0557756295892515,
        5.055797085500766,
        5.055819018210314,
        5.055840474121828,
        5.055862406831375,
        5.055883862742889,
        5.055905795452437,
        5.0559272513639515,
        5.0559491840735,
        5.055970639985014,
        5.055992572694561,
        5.056014028606075,
        5.056035961315623,
        5.056057417227137,
        5.056079349936685,
        5.0561008058481995,
        5.056122738557747,
        5.056144194469261,
        5.056166127178809,
        5.056187583090323,
        5.056209515799871,
        5.056230971711385,
        5.056252904420933,
        5.056274360332447,
        5.056296293041995,
        5.056317748953509,
        5.056339681663057,
        5.056361137574571,
        5.056383070284119,
        5.056404526195633,
        5.0564259821071476,
        5.056447914816695,
        5.056469370728209,
        5.056491303437757,
        5.056512759349271,
        5.056534692058819,
        5.056556147970333,
        5.0565776038818475,
        5.056599536591395,
        5.056620992502909,
        5.056642925212457,
        5.056664381123971,
        5.056686313833519,
        5.056707769745033,
        5.0567292256565475,
        5.056751158366095,
        5.056772614277609,
        5.056794070189123,
        5.056816002898671,
        5.056837458810185,
        5.056859391519733,
        5.056880847431247,
        5.056902303342762,
        5.05692423605231,
        5.056945691963824,
        5.056967147875338,
        5.056989080584885,
        5.057010536496399,
        5.0570319924079135,
        5.0570539251174615,
        5.057075381028976,
        5.05709683694049,
        5.057118769650038,
        5.057140225561552,
        5.057161681473066,
        5.057183614182613,
        5.057205070094128,
        5.057226526005642,
        5.05724845871519,
        5.057269914626704,
        5.057291370538218,
        5.057313303247766,
        5.05733475915928,
        5.0573562150707945,
        5.057377670982309,
        5.057399603691856,
        5.05742105960337,
        5.057442515514884,
        5.057464448224432,
        5.057485904135946,
        5.0575073600474605,
        5.057528815958975,
        5.057550748668523,
        5.057572204580037,
        5.057593660491551,
        5.057615116403065,
        5.057637049112613,
        5.057658505024127,
        5.0576799609356415,
        5.057701416847156,
        5.05772287275867,
        5.057744805468217,
        5.057766261379731,
        5.057787717291245,
        5.0578091732027595,
        5.057831105912308,
        5.057852561823822,
        5.057874017735336,
        5.05789547364685,
        5.057916929558364,
        5.057938862267912,
        5.057960318179426,
        5.0579817740909405,
        5.058003230002455,
        5.058024685913969,
        5.058046141825483,
        5.058068074535031,
        5.058089530446545,
        5.058110986358059,
        5.0581324422695735,
        5.058153898181088,
        5.058175354092602,
        5.058197286802149,
        5.058218742713663,
        5.058240198625177,
        5.058261654536691,
        5.0582831104482056,
        5.05830456635972,
        5.058326022271234,
        5.058347954980782,
        5.058369410892296,
        5.05839086680381,
        5.058412322715324,
        5.0584337786268385,
        5.058455234538353,
        5.058476690449867,
        5.058498146361381,
        5.058519602272895,
        5.058541534982443,
        5.058562990893957,
        5.0585844468054715,
        5.058605902716986,
        5.0586273586285,
        5.058648814540014,
        5.058670270451528,
        5.058691726363042,
        5.058713182274556,
        5.0587346381860705,
        5.058756094097585,
        5.058777550009099,
        5.058799005920613,
        5.058820461832127,
        5.058841917743641,
        5.058863373655155,
        5.0588853063647035,
        5.058906762276218,
        5.058928218187732,
        5.058949674099246,
        5.05897113001076,
        5.058992585922274,
        5.059014041833788,
        5.0590354977453025,
        5.059056953656817,
        5.059078409568331,
        5.059099865479845,
        5.059121321391359,
        5.059142777302873,
        5.059164233214387,
        5.0591856891259015,
        5.059207145037416,
        5.05922860094893,
        5.059250056860444,
        5.059271512771958,
        5.059292968683472,
        5.059314424594986,
        5.059335403708467,
        5.059356859619981,
        5.059399771443009,
        5.059421227354523,
        5.059442683266037,
        5.0594641391775514,
        5.059485595089066,
        5.059528506912094,
        5.059549962823608,
        5.059571418735122,
        5.059635786469665,
        5.059721133317688,
        5.05995667154631,
        5.060042018394333,
        5.0600634743058475,
        5.060084930217362,
        5.060106386128876,
        5.06012784204039,
        5.06014882115387,
        5.060170277065384,
        5.060191732976898,
        5.0602131888884125,
        5.060255623913408,
        5.060277079824922,
        5.060298535736436,
        5.06031999164795,
        5.060341447559464,
        5.060362426672945,
        5.060383882584459,
        5.060405338495973,
        5.060426794407487,
        5.060448250319001,
        5.060469229432481,
        5.0604906853439955,
        5.06051214125551,
        5.060533597167024,
        5.060554576280505,
        5.060576032192019,
        5.060597488103533,
        5.060618944015047,
        5.0606399231285275,
        5.060661379040042,
        5.060682834951556,
        5.06070429086307,
        5.06072526997655,
        5.060746725888065,
        5.060768181799579,
        5.0607891609130595,
        5.060810616824574,
        5.060832072736088,
        5.060853528647602,
        5.060874507761082,
        5.060895963672596,
        5.0609174195841105,
        5.0609383986975915,
        5.060959854609106,
        5.06098131052062,
        5.0610022896341,
        5.061023745545614,
        5.061045201457128,
        5.0610666573686425,
        5.061087636482123,
        5.061109092393637,
        5.061130548305151,
        5.061151527418632,
        5.061172983330146,
        5.061193962443626,
        5.0612154183551405,
        5.061236874266655,
        5.061257853380135,
        5.061279309291649,
        5.061300765203164,
        5.061321744316644,
        5.061343200228158,
        5.061364656139673,
        5.061385635253153,
        5.061407091164667,
        5.061428070278148,
        5.061449526189662,
        5.061470982101176,
        5.0614919612146565,
        5.061513417126171,
        5.061534396239651,
        5.061555852151165,
        5.061577308062679,
        5.06159828717616,
        5.061619743087674,
        5.061640722201155,
        5.061662178112669,
        5.061683634024183,
        5.061704613137663,
        5.061726069049177,
        5.061747048162658,
        5.0617685040741724,
        5.061789483187653,
        5.061810939099167,
        5.061831918212647,
        5.061853374124162,
        5.061874353237642,
        5.061895809149156,
        5.0619172650606705,
        5.061938244174151,
        5.061959700085665,
        5.061980679199146,
        5.06200213511066,
        5.06202311422414,
        5.0620445701356545,
        5.062065549249135,
        5.062087005160649,
        5.06210798427413,
        5.062129440185644,
        5.062150419299124,
        5.062171875210638,
        5.062192854324119,
        5.062214310235633,
        5.062235289349114,
        5.062256745260628,
        5.062277724374108,
        5.062299180285622,
        5.0623201593991025,
        5.062341138512584,
        5.062362594424098,
        5.062383573537578,
        5.062405029449092,
        5.062426008562573,
        5.062447464474087,
        5.0624684435875675,
        5.062489899499082,
        5.062510878612562,
        5.062531857726043,
        5.062553313637557,
        5.062574292751037,
        5.0625957486625515,
        5.062616727776032,
        5.062638183687546,
        5.062659162801027,
        5.062680141914507,
        5.062701597826021,
        5.0627225769395015,
        5.062744032851016,
        5.062765011964497,
        5.062785991077977,
        5.062807446989491,
        5.062828426102971,
        5.062849405216452,
        5.0628708611279665,
        5.062891840241447,
        5.062913296152961,
        5.062934275266442,
        5.062955254379922,
        5.062976710291436,
        5.0629976894049165,
        5.0630186685183975,
        5.063040124429912,
        5.063061103543392,
        5.063082082656872,
        5.063103538568386,
        5.063124517681867,
        5.0631454967953475,
        5.063166952706862,
        5.063187931820342,
        5.063208910933823,
        5.063230366845337,
        5.063251345958817,
        5.0632723250722975,
        5.063293780983812,
        5.063314760097293,
        5.063335739210773,
        5.063356718324253,
        5.063378174235767,
        5.063399153349248,
        5.063420132462729,
        5.063441588374243,
        5.063462567487723,
        5.063483546601204,
        5.063504525714684,
        5.063525981626198,
        5.0635469607396795,
        5.06356793985316,
        5.06358891896664,
        5.063610374878154,
        5.063631353991635,
        5.063652333105115,
        5.0636733122185955,
        5.06369476813011,
        5.063715747243591,
        5.063736726357071,
        5.063757705470551,
        5.063778684584032,
        5.063800140495546,
        5.063821119609027,
        5.063842098722507,
        5.063863077835988,
        5.063884533747502,
        5.063905512860982,
        5.063926491974462,
        5.0639474710879435,
        5.063968450201424,
        5.063989906112938,
        5.064010885226418,
        5.064031864339899,
        5.064052843453379,
        5.0640738225668604,
        5.064094801680341,
        5.064116257591855,
        5.064137236705335,
        5.064158215818816,
        5.064179194932296,
        5.0642001740457765,
        5.064221153159258,
        5.064242132272738,
        5.064263588184252,
        5.064284567297732,
        5.064305546411213,
        5.064326525524693,
        5.064347504638174,
        5.064368483751655,
        5.064389462865135,
        5.064410441978615,
        5.064431897890129,
        5.06445287700361,
        5.0644738561170906,
        5.064494835230571,
        5.064515814344052,
        5.064536793457532,
        5.064557772571012,
        5.064578751684493,
        5.0645997307979735,
        5.064620709911455,
        5.064642165822969,
        5.064663144936449,
        5.064684124049929,
        5.06470510316341,
        5.0647260822768905,
        5.064747061390371,
        5.064768040503852,
        5.064789019617332,
        5.064809998730812,
        5.064830977844293,
        5.0648519569577735,
        5.064872936071254,
        5.064893915184735,
        5.064914894298215,
        5.064935873411695,
        5.064956852525176,
        5.0649778316386564,
        5.064998810752137,
        5.065019789865618,
        5.065040768979098,
        5.065061748092578,
        5.065082727206059,
        5.065103706319539,
        5.0651246854330205,
        5.065145664546501,
        5.065166643659981,
        5.065187622773462,
        5.065208601886942,
        5.065229581000422,
        5.0652505601139035,
        5.065271539227384,
        5.065292518340864,
        5.065313497454345,
        5.065334476567825,
        5.065355455681305,
        5.0653764347947865,
        5.065397413908267,
        5.065418393021747,
        5.065439372135228,
        5.065460351248708,
        5.065481330362188,
        5.0655023094756695,
        5.06552328858915,
        5.065543790904597,
        5.065564770018077,
        5.065585749131557,
        5.065606728245038,
        5.0656277073585185,
        5.065648686471999,
        5.06566966558548,
        5.06569064469896,
        5.065711623812441,
        5.065732602925921,
        5.0657531052413685,
        5.065774084354849,
        5.065795063468329,
        5.06581604258181,
        5.06583702169529,
        5.06585800080877,
        5.0658789799222514,
        5.065899959035732,
        5.065920461351179,
        5.065941440464659,
        5.065962419578139,
        5.06598339869162,
        5.0660043778051005,
        5.066025356918581,
        5.066046336032062,
        5.066066838347508,
        5.066087817460989,
        5.066108796574469,
        5.0661297756879495,
        5.066150754801431,
        5.066171733914911,
        5.066192236230358,
        5.066213215343838,
        5.066234194457319,
        5.0662551735707995,
        5.06627615268428,
        5.066296654999727,
        5.066317634113207,
        5.066338613226688,
        5.066359592340168,
        5.0663805714536485,
        5.066401073769096,
        5.066422052882576,
        5.066443031996057,
        5.066464011109537,
        5.066484513424984,
        5.0665054925384645,
        5.066526471651945,
        5.066547450765426,
        5.066567953080872,
        5.066588932194353,
        5.066609911307833,
        5.0666308904213135,
        5.066651392736761,
        5.066672371850241,
        5.066693350963722,
        5.066714330077202,
        5.066734832392649,
        5.0667558115061295,
        5.066776790619611,
        5.066797292935057,
        5.066818272048538,
        5.066839251162018,
        5.066860230275498,
        5.0668807325909455,
        5.066901711704426,
        5.066922690817907,
        5.066943193133353,
        5.066964172246834,
        5.066985151360314,
        5.0670056536757615,
        5.067026632789242,
        5.067047611902722,
        5.067068114218169,
        5.067089093331649,
        5.06711007244513,
        5.067130574760577,
        5.067151553874058,
        5.067172532987538,
        5.067193035302985,
        5.067214014416465,
        5.067234993529945,
        5.067255495845393,
        5.067276474958873,
        5.067297454072354,
        5.067317956387801,
        5.067338935501281,
        5.067359437816728,
        5.067380416930209,
        5.067401396043689,
        5.067421898359136,
        5.067442877472616,
        5.067463379788063,
        5.0674843589015435,
        5.067505338015025,
        5.067525840330471,
        5.067546819443952,
        5.067567321759398,
        5.067588300872879,
        5.0676092799863595,
        5.067629782301807,
        5.067650761415287,
        5.067671263730734,
        5.067692242844214,
        5.067712745159661,
        5.0677337242731415,
        5.067754703386622,
        5.067775205702069,
        5.067796184815549,
        5.067816687130996,
        5.067837666244476,
        5.0678581685599235,
        5.067879147673405,
        5.067899649988851,
        5.067920629102332,
        5.067941131417778,
        5.067962110531259,
        5.067982612846706,
        5.068003591960187,
        5.068024094275633,
        5.068045073389114,
        5.06806557570456,
        5.068086554818041,
        5.068107057133488,
        5.068128036246969,
        5.068148538562415,
        5.068169517675896,
        5.068190019991342,
        5.068210999104823,
        5.06823150142027,
        5.068252480533751,
        5.068272982849197,
        5.068293961962678,
        5.068314464278124,
        5.0683354433916055,
        5.068355945707052,
        5.068376448022499,
        5.068397427135979,
        5.068417929451426,
        5.068438908564907,
        5.068459410880354,
        5.068480389993835,
        5.068500892309281,
        5.068521394624728,
        5.068542373738208,
        5.068562876053655,
        5.068583855167136,
        5.068604357482583,
        5.068625336596063,
        5.06864583891151,
        5.068666341226957,
        5.0686873203404375,
        5.068707822655885,
        5.068728801769365,
        5.068749304084812,
        5.068769806400258,
        5.068790785513739,
        5.0688112878291856,
        5.068831790144633,
        5.068852769258113,
        5.06887327157356,
        5.06889425068704,
        5.068914753002487,
        5.0689352553179345,
        5.068956234431415,
        5.068976736746862,
        5.068997239062309,
        5.069018218175789,
        5.069038720491236,
        5.069059222806683,
        5.069080201920164,
        5.06910070423561,
        5.069121206551057,
        5.069142185664537,
        5.0691626879799845,
        5.069183190295432,
        5.069203692610878,
        5.069224671724359,
        5.069245174039805,
        5.069265676355252,
        5.069286655468733,
        5.06930715778418,
        5.069327660099627,
        5.069348639213107,
        5.069369141528554,
        5.0693896438440005,
        5.069410146159448,
        5.069431125272928,
        5.069451627588375,
        5.069472129903822,
        5.069492632219268,
        5.0695136113327495,
        5.069534113648197,
        5.069554615963643,
        5.06957511827909,
        5.06959609739257,
        5.069616599708017,
        5.0696371020234645,
        5.069657604338911,
        5.069678583452392,
        5.069699085767838,
        5.069719588083285,
        5.069740090398732,
        5.069760592714179,
        5.06978157182766,
        5.069802074143106,
        5.069822576458553,
        5.069843078774,
        5.069863581089447,
        5.069884560202928,
        5.069905062518374,
        5.069925564833821,
        5.069946067149268,
        5.0699665694647145,
        5.069987548578196,
        5.070008050893642,
        5.070028553209089,
        5.070049055524536,
        5.070069557839983,
        5.0700900601554295,
        5.070111039268911,
        5.070131541584357,
        5.070152043899804,
        5.070172546215251,
        5.070193048530697,
        5.070213550846145,
        5.070234053161592,
        5.070255032275072,
        5.070275534590519,
        5.070296036905965,
        5.0703165392214125,
        5.07033704153686,
        5.070357543852306,
        5.070378046167753,
        5.0703985484832,
        5.070419050798646,
        5.0704400299121275,
        5.070460532227574,
        5.070481034543021,
        5.070501536858468,
        5.070522039173914,
        5.0705425414893615,
        5.070563043804809,
        5.070583546120255,
        5.070604048435702,
        5.070624550751149,
        5.070645053066596,
        5.0706655553820426,
        5.07068605769749,
        5.07070703681097,
        5.070727539126417,
        5.070748041441864,
        5.0707685437573105,
        5.070789046072758,
        5.070809548388205,
        5.070830050703651,
        5.070850553019098,
        5.070871055334545,
        5.0708915576499916,
        5.070912059965439,
        5.070932562280886,
        5.070953064596332,
        5.070973566911779,
        5.070994069227226,
        5.071014571542673,
        5.07103507385812,
        5.071055576173567,
        5.071076078489013,
        5.07109658080446,
        5.0711170831199075,
        5.071137585435355,
        5.071158087750801,
        5.071178590066248,
        5.071199092381695,
        5.0712195946971415,
        5.071240097012589,
        5.071260599328036,
        5.071281101643482,
        5.071301603958929,
        5.071321629476342,
        5.0713421317917895,
        5.071362634107236,
        5.071383136422683,
        5.07140363873813,
        5.071424141053576,
        5.0714446433690235,
        5.071465145684471,
        5.071485647999917,
        5.071506150315364,
        5.071526652630811,
        5.071547154946257,
        5.0715676572617046,
        5.071587682779118,
        5.071608185094565,
        5.071628687410011,
        5.071649189725458,
        5.0716696920409055,
        5.071690194356353,
        5.071710696671799,
        5.071731198987246,
        5.071751701302693,
        5.071771726820106,
        5.071792229135553,
        5.071812731451,
        5.071833233766447,
        5.071853736081893,
        5.07187423839734,
        5.0718947407127875,
        5.071914766230201,
        5.071935268545647,
        5.071955770861094,
        5.071976273176541,
        5.0719967754919875,
        5.072017277807435,
        5.072037303324848,
        5.072057805640295,
        5.072078307955741,
        5.072098810271188,
        5.0721193125866355,
        5.072139814902082,
        5.072159840419495,
        5.072180342734942,
        5.072200845050389,
        5.0722213473658355,
        5.072241849681283,
        5.072261875198696,
        5.072282377514143,
        5.07230287982959,
        5.072323382145036,
        5.07234340766245,
        5.072363909977897,
        5.072384412293344,
        5.07240491460879,
        5.072425416924237,
        5.0724454424416505,
        5.072465944757098,
        5.072486447072544,
        5.072506949387991,
        5.072526974905404,
        5.072547477220851,
        5.072567979536298,
        5.072588005053711,
        5.072608507369158,
        5.072629009684605,
        5.072649512000051,
        5.072669537517465,
        5.072690039832912,
        5.072710542148359,
        5.072730567665772,
        5.072751069981218,
        5.0727715722966655,
        5.072792074612113,
        5.072812100129526,
        5.072832602444973,
        5.072853104760419,
        5.0728731302778325,
        5.07289363259328,
        5.072914134908727,
        5.07293416042614,
        5.072954662741586,
        5.072975165057033,
        5.072995190574447,
        5.073015692889894,
        5.07303619520534,
        5.073056220722753,
        5.0730767230382,
        5.0730972253536475,
        5.073117250871061,
        5.073137753186507,
        5.073158255501954,
        5.073178281019367,
        5.073198783334814,
        5.073218808852228,
        5.073239311167674,
        5.073259813483121,
        5.073279839000534,
        5.073300341315981,
        5.073320843631428,
        5.073340869148842,
        5.073361371464288,
        5.073381396981701,
        5.073401899297148,
        5.0734224016125955,
        5.073442427130009,
        5.073462929445455,
        5.073482954962868,
        5.073503457278315,
        5.0735234827957285,
        5.073543985111176,
        5.073564487426622,
        5.073584512944035,
        5.073605015259482,
        5.0736250407768955,
        5.073645543092343,
        5.073665568609756,
        5.073686070925202,
        5.073706096442615,
        5.073726598758062,
        5.073746624275476,
        5.073767126590923,
        5.073787628906369,
        5.073807654423782,
        5.073828156739229,
        5.073848182256643,
        5.07386868457209,
        5.073888710089503,
        5.07390921240495,
        5.073929237922363,
        5.0739497402378095,
        5.073969765755223,
        5.07399026807067,
        5.074010293588083,
        5.07403079590353,
        5.074050821420943,
        5.07407132373639,
        5.074091349253803,
        5.07411185156925,
        5.074131877086663,
        5.0741519026040764,
        5.074172404919524,
        5.074192430436937,
        5.074212932752383,
        5.074232958269796,
        5.074253460585243,
        5.074273486102657,
        5.074293988418104,
        5.074314013935517,
        5.074334516250963,
        5.074354541768376,
        5.07437456728579,
        5.074395069601237,
        5.07441509511865,
        5.074435597434097,
        5.07445562295151,
        5.0744756484689235,
        5.074496150784371,
        5.074516176301784,
        5.07453667861723,
        5.074556704134643,
        5.0745767296520565,
        5.074597231967504,
        5.074617257484917,
        5.074637759800364,
        5.074657785317777,
        5.07467781083519,
        5.074698313150637,
        5.07471833866805,
        5.074738364185463,
        5.07475886650091,
        5.074778892018323,
        5.074799394333771,
        5.074819419851184,
        5.074839445368597,
        5.074859947684043,
        5.0748799732014565,
        5.07489999871887,
        5.074920501034317,
        5.07494052655173,
        5.074960552069143,
        5.07498105438459,
        5.0750010799020036,
        5.075021105419417,
        5.075041607734864,
        5.075061633252277,
        5.07508165876969,
        5.0751016842871035,
        5.07512218660255,
        5.075142212119963,
        5.075162237637376,
        5.075182739952823,
        5.0752027654702365,
        5.07522279098765,
        5.075242816505063,
        5.07526331882051,
        5.075283344337923,
        5.0753033698553365,
        5.075323872170783,
        5.075343897688196,
        5.075363923205609,
        5.075383948723022,
        5.0754044510384695,
        5.075424476555883,
        5.075444502073296,
        5.075464527590709,
        5.075485029906156,
        5.0755050554235694,
        5.075525080940983,
        5.075545106458396,
        5.075565131975809,
        5.075585634291256,
        5.075605659808669,
        5.075625685326083,
        5.075645710843496,
        5.075666213158942,
        5.075686238676355,
        5.0757062641937685,
        5.075726289711182,
        5.075746315228595,
        5.075766817544042,
        5.075786843061455,
        5.075806868578868,
        5.075826894096282,
        5.075846919613695,
        5.075866945131108,
        5.075887447446555,
        5.075907472963968,
        5.075927498481382,
        5.075947523998795,
        5.075967549516208,
        5.075987575033621,
        5.0760080773490674,
        5.076028102866481,
        5.076048128383894,
        5.076068153901308,
        5.076088179418721,
        5.076108204936134,
        5.0761282304535476,
        5.076148255970961,
        5.076168758286407,
        5.07618878380382,
        5.076208809321233,
        5.076228834838647,
        5.07624886035606,
        5.076268885873473,
        5.076288911390886,
        5.076308936908299,
        5.076328962425713,
        5.07634946474116,
        5.076369490258573,
        5.076389515775986,
        5.076409541293399,
        5.076429566810813,
        5.076449592328226,
        5.076469617845639,
        5.076489643363052,
        5.076509668880465,
        5.076529694397879,
        5.076549719915292,
        5.076569745432705,
        5.076589770950118,
        5.076609796467531,
        5.076629821984945,
        5.076649847502358,
        5.076669873019771,
        5.076689898537184,
        5.076710400852631,
        5.076730426370045,
        5.076750451887458,
        5.076770477404871,
        5.076790502922284,
        5.076810528439697,
        5.076830553957111,
        5.076850579474524,
        5.076870604991937,
        5.07689063050935,
        5.076910656026763,
        5.076930681544177,
        5.07695070706159,
        5.076970732579003,
        5.076990758096416,
        5.077010783613829,
        5.077030332333209,
        5.077050357850622,
        5.077070383368035,
        5.077090408885448,
        5.0771104344028615,
        5.077130459920275,
        5.077150485437688,
        5.077170510955102,
        5.077190536472515,
        5.077210561989928,
        5.077230587507342,
        5.077250613024755,
        5.077270638542168,
        5.077290664059581,
        5.077310689576994,
        5.077330715094408,
        5.077350740611821,
        5.0773702893312,
        5.077390314848613,
        5.0774103403660265,
        5.07743036588344,
        5.077450391400853,
        5.077470416918266,
        5.077490442435679,
        5.0775104679530925,
        5.077530493470506,
        5.077550518987919,
        5.077570067707298,
        5.077590093224711,
        5.0776101187421245,
        5.077630144259538,
        5.077650169776951,
        5.077670195294364,
        5.077690220811777,
        5.0777097695311575,
        5.077729795048571,
        5.077749820565984,
        5.077769846083397,
        5.07778987160081,
        5.0778098971182235,
        5.077829922635637,
        5.077849471355016,
        5.077869496872429,
        5.077889522389842,
        5.077909547907256,
        5.077929573424669,
        5.077949122144049,
        5.077969147661462,
        5.077989173178875,
        5.0780091986962885,
        5.078029224213702,
        5.078049249731115,
        5.078068798450494,
        5.078088823967907,
        5.078108849485321,
        5.078128875002734,
        5.078148423722113,
        5.078168449239526,
        5.0781884747569395,
        5.078208500274353,
        5.078228525791766,
        5.078248074511146,
        5.078268100028559,
        5.078288125545972,
        5.078308151063386,
        5.078327699782765,
        5.078347725300178,
        5.078367750817591,
        5.0783877763350045,
        5.078407325054385,
        5.078427350571798,
        5.078447376089211,
        5.07846692480859,
        5.0784869503260035,
        5.078506975843417,
        5.07852700136083,
        5.078546550080209,
        5.078566575597622,
        5.078586601115036,
        5.078606149834416,
        5.078626175351829,
        5.078646200869242,
        5.078665749588621,
        5.078685775106035,
        5.078705800623448,
        5.078725826140861,
        5.07874537486024,
        5.0787654003776534,
        5.078785425895067,
        5.078804974614447,
        5.07882500013186,
        5.078845025649273,
        5.0788645743686525,
        5.078884599886066,
        5.078904625403479,
        5.078924174122859,
        5.078944199640272,
        5.0789637483596515,
        5.078983773877065,
        5.079003799394478,
        5.079023348113857,
        5.07904337363127,
        5.0790633991486835,
        5.079082947868064,
        5.079102973385477,
        5.079122522104856,
        5.079142547622269,
        5.079162573139683,
        5.079202147376475,
        5.079221696095855,
        5.079241721613268,
        5.079261747130682,
        5.079281295850061,
        5.079301321367474,
        5.079320870086853,
        5.0793408956042665,
        5.079360444323647,
        5.07938046984106,
        5.079400495358473,
        5.079420044077852,
        5.0794400695952655,
        5.079459618314646,
        5.079479643832059,
        5.079499192551438,
        5.079538766788231,
        5.079558792305644,
        5.07961839205985,
        5.07963794077923,
        5.079677515016022,
        5.079697540533435,
        5.079717089252815,
        5.079737114770229,
        5.079756663489608,
        5.079776689007021,
        5.0797962377264,
        5.0798162632438135,
        5.079835811963194,
        5.079855837480607,
        5.079875386199986,
        5.0799149604367795,
        5.079934985954193,
        5.079954534673572,
        5.079974083392951,
        5.079994108910364,
        5.0800136576297446,
        5.080033683147158,
        5.080053231866537,
        5.08007325738395,
        5.0800928061033295,
        5.080151929059502,
        5.080171954576915,
        5.0801915032962945,
        5.08027065176988,
        5.08029020048926,
        5.080310226006673,
        5.080329774726053,
        5.080388897682225,
        5.080408923199638,
        5.080487594875191,
        5.080684989261121,
        5.0807045379805,
        5.080783686454086,
        5.080921481085809,
        5.080960578524569,
        5.081177044831845,
        5.081258577295599,
        5.0833502902692125,
        5.083369838988592,
        5.0835257519455945,
        5.083778931701462,
        5.083798480420842,
        5.083818029140221,
        5.083837101061567,
        5.083856649780946,
        5.08395391657981,
        5.083973465299191,
        5.08399301401857,
        5.084070732098055,
        5.0840898040194,
        5.084439296978064,
        5.084536563776928,
        5.084613805058379,
        5.084691523137864,
        5.085851095955696,
        5.0860823430020154,
        5.086274969407609,
        5.086294041328955,
        5.086448047093823,
        5.086486667734548,
        5.086505739655895,
        5.086524811577241,
        5.08654436029662,
        5.086563432217966,
        5.086602052858692,
        5.086640196701383,
        5.086678817342109,
        5.086697889263455,
        5.0867169611848,
        5.08673650990418,
        5.086794202466251,
        5.0868323463089435,
        5.086890038871014,
        5.086928182713707,
        5.086947731433086,
        5.086966803354432,
        5.0869858752757775,
        5.087062639759195,
        5.087120332321267,
        5.087139404242612,
        5.0871584761639586,
        5.087177548085305,
        5.087197096804684,
        5.08721616872603,
        5.0872352406473755,
        5.087254312568722,
        5.087273384490068,
        5.087292933209447,
        5.087312005130793,
        5.087331077052139,
        5.087350148973485,
        5.087369220894831,
        5.087388292816176,
        5.087407841535557,
        5.087445985378248,
        5.087465057299594,
        5.08748412922094,
        5.091032221788332,
        5.095193476626993,
        5.095216362932609,
        5.095239249238224,
        5.095261658745805,
        5.09528454505142,
        5.0953074313570355,
        5.095329840864617,
        5.095352727170232,
        5.095375613475847,
        5.095398022983429,
        5.095420909289044,
        5.095443795594659,
        5.095466681900274,
        5.095489091407855,
        5.09551197771347,
        5.095534864019085,
        5.0955572735266665,
        5.095580159832282,
        5.095603046137897,
        5.095625455645479,
        5.095648341951094,
        5.095670751458675,
        5.09569363776429,
        5.095716524069905,
        5.095738933577486,
        5.095761819883102,
        5.095784706188717,
        5.0958071156962985,
        5.095830002001914,
        5.095852411509495,
        5.09587529781511,
        5.095898184120725,
        5.095920593628307,
        5.095943479933922,
        5.095966366239537,
        5.095988775747118,
        5.096011662052733,
        5.0960340715603145,
        5.09605695786593,
        5.096079367373512,
        5.096102253679127,
        5.096125139984742,
        5.096147549492323,
        5.096170435797938,
        5.096192845305519,
        5.096215731611134,
        5.096238141118716,
        5.096261027424331,
        5.0962839137299465,
        5.096306323237528,
        5.096329209543143,
        5.096351619050725,
        5.09637450535634,
        5.096396914863921,
        5.096419801169536,
        5.096442210677117,
        5.096465096982732,
        5.096487506490314,
        5.096510392795929,
        5.096532802303511,
        5.096555688609126,
        5.096578098116707,
        5.096600984422322,
        5.096623393929904,
        5.096646280235519,
        5.0966686897431,
        5.096691576048715,
        5.096713985556296,
        5.0967368718619115,
        5.0967592813694935,
        5.096782167675109,
        5.09680457718269,
        5.096827463488305,
        5.096849872995887,
        5.096872282503468,
        5.096895168809083,
        5.096917578316664,
        5.096940464622279,
        5.096962874129861,
        5.0969857604354765,
        5.097008169943058,
        5.097031056248673,
        5.097053465756254,
        5.097075875263836,
        5.097098761569451,
        5.097121171077032,
        5.097144057382647,
        5.097166466890228,
        5.09718887639781,
        5.0972117627034255,
        5.097234172211007,
        5.097257058516622,
        5.097279468024203,
        5.097301877531785,
        5.0973247638374,
        5.097347173344981,
        5.097370059650596,
        5.097392469158177,
        5.097414878665759,
        5.0974377649713745,
        5.097460174478956,
        5.097482583986538,
        5.097505470292153,
        5.097527879799734,
        5.097550289307315,
        5.09757317561293,
        5.097595585120512,
        5.097617994628093,
        5.097640880933708,
        5.0976632904412895,
        5.0976856999488716,
        5.097708586254487,
        5.097730995762068,
        5.097753405269649,
        5.097776291575264,
        5.097798701082846,
        5.097821110590427,
        5.097843996896042,
        5.097866406403623,
        5.0978888159112055,
        5.0979117022168206,
        5.097934111724402,
        5.097956521231984,
        5.098024226552761,
        5.098046636060343,
        5.098249275224643,
        5.098924421240288,
        5.09894683074787,
        5.0992162216368815,
        5.099238631144463,
        5.099261040652044,
        5.099305859667207,
        5.099328745972822,
        5.099351155480403,
        5.0994183840031475,
        5.0994407935107295,
        5.099463203018311,
        5.099485612525892,
        5.099508022033474,
        5.099530431541055,
        5.099552841048636,
        5.099575250556218,
        5.099597660063799,
        5.099620069571381,
        5.0996424790789625,
        5.099664888586544,
        5.099687298094126,
        5.099709707601707,
        5.099732117109288,
        5.09975452661687,
        5.099821755139614,
        5.0998441646471955,
        5.099866574154777,
        5.099888983662359,
        5.09991139316994,
        5.099933802677521,
        5.099956212185103,
        5.099978621692684,
        5.100001031200265,
        5.100023440707847,
        5.1000458502154284,
        5.10006825972301,
        5.100090669230592,
        5.100112601940139,
        5.100135011447721,
        5.100157420955302,
        5.100179830462884,
        5.100202239970465,
        5.100224649478046,
        5.100247058985628,
        5.1002694684932095,
        5.100291878000791,
        5.100314287508373,
        5.100336697015954,
        5.100359106523535,
        5.100381039233083,
        5.100403448740664,
        5.100425858248246,
        5.100448267755827,
        5.1004706772634085,
        5.100493086770991,
        5.100515496278572,
        5.100537905786153,
        5.100559838495701,
        5.100582248003282,
        5.100604657510864,
        5.100627067018445,
        5.100649476526026,
        5.100671886033608,
        5.10069429554119,
        5.100716228250738,
        5.100738637758319,
        5.100761047265901,
        5.100783456773482,
        5.100805866281063,
        5.100828275788645,
        5.100850208498192,
        5.100872618005774,
        5.1008950275133556,
        5.100917437020937,
        5.100939846528519,
        5.100961779238066,
        5.100984188745648,
        5.101006598253229,
        5.10102900776081,
        5.101051417268392,
        5.1010733499779395,
        5.1010957594855215,
        5.101118168993103,
        5.101140578500684,
        5.101162988008266,
        5.101184920717813,
        5.101207330225395,
        5.101229739732976,
        5.101252149240558,
        5.1012740819501055,
        5.1012964914576875,
        5.101318900965269,
        5.10134131047285,
        5.101363243182398,
        5.101385652689979,
        5.101408062197561,
        5.101429994907108,
        5.10145240441469,
        5.101474813922271,
        5.101497223429853,
        5.101519156139401,
        5.101541565646982,
        5.101563975154564,
        5.101585907864111,
        5.101608317371693,
        5.101630726879274,
        5.101653136386855,
        5.1016750690964034,
        5.101697478603985,
        5.101719888111567,
        5.101741820821114,
        5.101764230328696,
        5.101786639836277,
        5.101808572545825,
        5.101830982053406,
        5.101853391560988,
        5.1018753242705355,
        5.1018977337781175,
        5.101920143285699,
        5.101942075995247,
        5.101964485502828,
        5.101986895010409,
        5.102008827719957,
        5.102031237227538,
        5.102053169937086,
        5.1020755794446675,
        5.1020979889522495,
        5.102119921661797,
        5.102142331169379,
        5.102164263878926,
        5.102186673386508,
        5.102209082894089,
        5.102231015603637,
        5.102253425111218,
        5.1022753578207665,
        5.102297767328348,
        5.102320176835929,
        5.102342109545477,
        5.102364519053059,
        5.102386451762606,
        5.102408861270188,
        5.102431270777769,
        5.102453203487317,
        5.1024756129948985,
        5.102497545704447,
        5.102519955212028,
        5.102541887921576,
        5.102564297429157,
        5.102586230138705,
        5.102608639646286,
        5.102630572355834,
        5.102652981863415,
        5.1026749145729635,
        5.102697324080545,
        5.102719733588126,
        5.102741666297674,
        5.102764075805255,
        5.102786008514803,
        5.102808418022384,
        5.102830350731932,
        5.1028527602395135,
        5.102874692949062,
        5.102897102456644,
        5.102919035166191,
        5.102941444673773,
        5.10296337738332,
        5.102985310092868,
        5.103007719600449,
        5.103029652309997,
        5.1030520618175785,
        5.103073994527127,
        5.103096404034708,
        5.103118336744256,
        5.103140746251837,
        5.103162678961385,
        5.103185088468966,
        5.103207021178514,
        5.103228953888062,
        5.103251363395644,
        5.103273296105192,
        5.103295705612773,
        5.103317638322321,
        5.103340047829902,
        5.10336198053945,
        5.103383913248997,
        5.103406322756579,
        5.103428255466127,
        5.103450664973709,
        5.103472597683257,
        5.103494530392804,
        5.103516939900386,
        5.103538872609933,
        5.103561282117515,
        5.103583214827062,
        5.10360514753661,
        5.103627557044192,
        5.10364948975374,
        5.103671422463288,
        5.103693831970869,
        5.103715764680417,
        5.103738174187998,
        5.103760106897546,
        5.103782039607093,
        5.1038044491146755,
        5.103826381824223,
        5.103848314533771,
        5.103870724041352,
        5.1038926567509,
        5.103914589460448,
        5.103936998968029,
        5.103958931677577,
        5.103980864387125,
        5.1040032738947065,
        5.104025206604255,
        5.104047139313802,
        5.10406907202335,
        5.104091481530931,
        5.104113414240479,
        5.104135346950027,
        5.104157756457608,
        5.1041796891671565,
        5.104201621876704,
        5.104223554586252,
        5.104245964093833,
        5.104267896803381,
        5.104289829512929,
        5.10431223902051,
        5.104334171730058,
        5.1043561044396055,
        5.104378037149154,
        5.104400446656735,
        5.104422379366283,
        5.104444312075831,
        5.104466244785378,
        5.10448865429296,
        5.104510587002508,
        5.1045325197120555,
        5.1045544524216035,
        5.104576385131152,
        5.104598794638733,
        5.104620727348281,
        5.104642660057828,
        5.104664592767376,
        5.104686525476924,
        5.104708934984505,
        5.1047308676940535,
        5.104752800403601,
        5.104774733113149,
        5.104796665822697,
        5.104819075330278,
        5.104841008039826,
        5.104862940749373,
        5.104884873458921,
        5.1049068061684695,
        5.104928738878017,
        5.104951148385599,
        5.104973081095146,
        5.104995013804694,
        5.105016946514242,
        5.105038879223789,
        5.105060811933337,
        5.1050827446428855,
        5.105105154150467,
        5.105127086860015,
        5.105149019569563,
        5.10517095227911,
        5.105192884988658,
        5.105214817698206,
        5.105236750407753,
        5.1052586831173015,
        5.105281092624883,
        5.105303025334431,
        5.105324958043979,
        5.105346890753526,
        5.105368823463074,
        5.105390756172622,
        5.105412688882169,
        5.1054346215917175,
        5.1054565543012655,
        5.105478487010813,
        5.105500419720361,
        5.105522352429909,
        5.10554476193749,
        5.105566694647038,
        5.105588627356585,
        5.1056105600661335,
        5.1056324927756815,
        5.10565442548523,
        5.105676358194777,
        5.105698290904325,
        5.105720223613873,
        5.10574215632342,
        5.105764089032968,
        5.105786021742516,
        5.105807954452064,
        5.105829887161612,
        5.10585181987116,
        5.105873752580707,
        5.105895685290255,
        5.105917617999803,
        5.10593955070935,
        5.105961483418898,
        5.1059834161284465,
        5.106005348837994,
        5.106027281547542,
        5.10604921425709,
        5.106071146966637,
        5.106093079676185,
        5.106115012385733,
        5.1061369450952805,
        5.106158877804829,
        5.106180810514377,
        5.106202743223925,
        5.106224675933472,
        5.10624660864302,
        5.106268541352568,
        5.106289997264082,
        5.1063119299736295,
        5.106333862683178,
        5.106355795392726,
        5.106377728102273,
        5.106399660811821,
        5.106421593521369,
        5.106443526230916,
        5.106465458940464,
        5.106487391650012,
        5.10650932435956,
        5.106531257069108,
        5.106553189778656,
        5.10657464569017,
        5.106596578399717,
        5.106618511109265,
        5.106640443818813,
        5.1066623765283605,
        5.106684309237909,
        5.106706241947457,
        5.106728174657005,
        5.106749630568519,
        5.106771563278066,
        5.106793495987614,
        5.106815428697162,
        5.1068373614067095,
        5.106859294116258,
        5.106881226825806,
        5.10690268273732,
        5.106924615446867,
        5.106946548156415,
        5.106968480865963,
        5.10699041357551,
        5.1070123462850585,
        5.107033802196573,
        5.107055734906121,
        5.107077667615668,
        5.107099600325216,
        5.107121533034764,
        5.107142988946278,
        5.1071649216558255,
        5.107186854365374,
        5.107208787074922,
        5.107230719784469,
        5.107252175695984,
        5.107274108405531,
        5.107296041115079,
        5.107317973824627,
        5.107339429736141,
        5.107361362445689,
        5.107383295155237,
        5.107405227864785,
        5.107426683776299,
        5.107492481904942,
        5.1075139378164565,
        5.107535870526004,
        5.107557803235552,
        5.1075797359451,
        5.107601191856614,
        5.107666989985257,
        5.1076884458967715,
        5.1078410212675385,
        5.107862953977087,
        5.107884886686635,
        5.107906342598149,
        5.107928275307696,
        5.107950208017244,
        5.107971663928758,
        5.107993596638306,
        5.1080155293478535,
        5.108036985259368,
        5.108058917968916,
        5.10808037388043,
        5.108102306589978,
        5.108124239299525,
        5.108145695211039,
        5.108167627920587,
        5.1081895606301355,
        5.10821101654165,
        5.108232949251197,
        5.108254881960745,
        5.108276337872259,
        5.108298270581807,
        5.108319726493321,
        5.108341659202869,
        5.108363591912417,
        5.108385047823931,
        5.108406980533479,
        5.108428436444993,
        5.108450369154541,
        5.108472301864088,
        5.108493757775602,
        5.1085156904851505,
        5.108537146396665,
        5.108559079106213,
        5.108580535017727,
        5.108602467727274,
        5.108624400436822,
        5.108645856348336,
        5.108667789057884,
        5.108689244969399,
        5.108711177678946,
        5.10873263359046,
        5.108754566300008,
        5.108776022211522,
        5.10879795492107,
        5.108819410832584,
        5.108841343542132,
        5.108862799453646,
        5.108884732163194,
        5.108906188074708,
        5.108928120784256,
        5.108950053493804,
        5.108971509405318,
        5.1089934421148655,
        5.10901489802638,
        5.109036353937894,
        5.109058286647442,
        5.109079742558956,
        5.109101675268504,
        5.109123131180018,
        5.1091450638895655,
        5.10916651980108,
        5.109188452510628,
        5.109209908422142,
        5.10923184113169,
        5.109253297043204,
        5.109275229752751,
        5.109296685664265,
        5.1093186183738135,
        5.109340074285328,
        5.10938346290639,
        5.109404918817904,
        5.109426851527451,
        5.109448307438966,
        5.1094702401485135,
        5.109491696060028,
        5.109513151971542,
        5.10953508468109,
        5.109556540592604,
        5.109578473302152,
        5.109599929213666,
        5.10962138512518,
        5.109643317834728,
        5.109664773746242,
        5.10968670645579,
        5.109708162367304,
        5.109729618278818,
        5.109751550988366,
        5.10977300689988,
        5.1097944628113945,
        5.109816395520942,
        5.109837851432456,
        5.109859784142004,
        5.109881240053518,
        5.109902695965032,
        5.10992462867458,
        5.1099460845860945,
        5.109967540497609,
        5.109989473207157,
        5.110010929118671,
        5.110032385030185,
        5.110054317739732,
        5.110075773651246,
        5.1100972295627605,
        5.110119162272309,
        5.110140618183823,
        5.110162074095337,
        5.110183530006851,
        5.110205462716399,
        5.110226918627913,
        5.110248374539427,
        5.110270307248975,
        5.110291763160489,
        5.110313219072003,
        5.110334674983517,
        5.110356607693065,
        5.110378063604579,
        5.110399519516093,
        5.1104214522256415,
        5.110442908137156,
        5.11046436404867,
        5.110485819960184,
        5.110507752669731,
        5.110529208581246,
        5.11055066449276,
        5.110572120404274,
        5.110594053113822,
        5.110615509025336,
        5.11063696493685,
        5.110658420848364,
        5.110679876759878,
        5.110701809469426,
        5.1107232653809405,
        5.110744721292455,
        5.110766177203969,
        5.110787633115483,
        5.110809565825031,
        5.110831021736545,
        5.110852477648059,
        5.110873933559573,
        5.110895389471088,
        5.110917322180635,
        5.110938778092149,
        5.110960234003663,
        5.110981689915177,
        5.111046534447754,
        5.111067990359268,
        5.111110902182296,
        5.11113235809381,
        5.111153814005324,
        5.1111972026263865,
        5.111218658537901,
        5.111240114449415,
        5.111304482183957,
        5.111369326716534,
        5.111390782628048,
        5.111670186275766,
        5.11169164218728,
        5.111713098098794,
        5.111734554010308,
        5.111756009921822,
        5.111777465833336,
        5.1117989217448505,
        5.111820377656365,
        5.111841833567879,
        5.111863289479393,
        5.111884745390907,
        5.111906201302421,
        5.111927657213935,
        5.1119491131254495,
        5.111970569036964,
        5.111992024948478,
        5.112013480859992,
        5.112034936771506,
        5.11205639268302,
        5.112077848594534,
        5.1120993045060485,
        5.112120760417563,
        5.112142216329077,
        5.112163672240591,
        5.112185128152105,
        5.112206584063619,
        5.112228039975133,
        5.112249495886648,
        5.112270951798162,
        5.112292407709676,
        5.11231386362119,
        5.112335319532704,
        5.112356775444218,
        5.112378231355732,
        5.112399687267247,
        5.112421143178761,
        5.112442122292241,
        5.112463578203755,
        5.112485034115269,
        5.112506490026783,
        5.1125279459382975,
        5.112549401849812,
        5.112570857761326,
        5.11259231367284,
        5.112613769584354,
        5.112635225495868,
        5.112656681407382,
        5.1126776605208635,
        5.112699116432378,
        5.112720572343892,
        5.112742028255406,
        5.11276348416692,
        5.112784940078434,
        5.112806395989948,
        5.1128278519014625,
        5.112848831014943,
        5.112870286926457,
        5.112891742837971,
        5.112913198749485,
        5.112934654660999,
        5.112956110572513,
        5.112977566484028,
        5.112998545597509,
        5.113020001509023,
        5.113041457420537,
        5.113062913332051,
        5.113084369243565,
        5.113105825155079,
        5.11312680426856,
        5.113148260180074,
        5.113169716091588,
        5.113191172003102,
        5.113212627914616,
        5.113233607028096,
        5.1132550629396105,
        5.1132765188511256,
        5.11329797476264,
        5.113319430674154,
        5.113340409787634,
        5.113361865699148,
        5.113383321610662,
        5.1134047775221765,
        5.113425756635657,
        5.113447212547171,
        5.113468668458685,
        5.113490124370199,
        5.11351110348368,
        5.113532559395194,
        5.1135540153067085,
        5.113596450331703,
        5.113617906243217,
        5.113639362154731,
        5.113660818066245,
        5.1136817971797255,
        5.113745688116235,
        5.113767144027749,
        5.113788599939263,
        5.1138310349642575,
        5.113873946787286,
        5.113916381812281,
        5.113937837723795,
        5.113958816837275,
        5.114022707773784,
        5.114044163685298,
        5.114065619596812,
        5.11419340146983,
        5.11502207645231,
        5.115297665715759,
        5.115340100740753,
        5.1153610798542335,
        5.115382535765748,
        5.115403514879229,
        5.115424970790743,
        5.115466929017704,
        5.115488384929218,
        5.1155093640426985,
        5.115530819954213,
        5.115657648231163,
        5.115678627344644,
        5.115700083256158,
        5.115721062369638,
        5.115742518281152,
        5.115763497394632,
        5.115805932419628,
        5.115826911533108,
        5.115847890646588,
        5.115869346558102,
        5.115890325671583,
        5.1159117815830975,
        5.115932760696578,
        5.115953739810058,
        5.115975195721572,
        5.115996174835053,
        5.116017153948533,
        5.116038609860047,
        5.1160595889735285,
        5.116080568087009,
        5.116102023998523,
        5.116123003112003,
        5.116143982225484,
        5.116164961338964,
        5.1161864172504785,
        5.116207396363959,
        5.11622837547744,
        5.116249831388954,
        5.116270810502434,
        5.116291789615914,
        5.1163132455274285,
        5.11633422464091,
        5.11635520375439,
        5.11637618286787,
        5.116397638779384,
        5.116418617892865,
        5.116439597006345,
        5.116460576119826,
        5.11648203203134,
        5.116503011144821,
        5.116523990258301,
        5.116544969371781,
        5.116566425283296,
        5.1165874043967765,
        5.116608383510257,
        5.116629362623738,
        5.116650818535252,
        5.116671797648732,
        5.116692776762212,
        5.116713755875693,
        5.116734734989174,
        5.116756190900688,
        5.116777170014168,
        5.116798149127649,
        5.116819128241129,
        5.1168401073546095,
        5.116861563266124,
        5.116882542379605,
        5.116903521493085,
        5.116924500606565,
        5.116945479720046,
        5.11696693563156,
        5.1169879147450406,
        5.117008893858521,
        5.117029872972002,
        5.117050852085482,
        5.117071831198962,
        5.117093287110476,
        5.1171142662239575,
        5.117135245337438,
        5.117156224450919,
        5.117177203564399,
        5.117198182677879,
        5.11721916179136,
        5.1172401409048405,
        5.117261596816355,
        5.117282575929835,
        5.117303555043316,
        5.117324534156796,
        5.117345513270276,
        5.117366492383757,
        5.117387471497238,
        5.117408450610718,
        5.117429429724199,
        5.117450885635713,
        5.117471864749193,
        5.1174928438626734,
        5.1175138229761545,
        5.117534802089635,
        5.117555781203115,
        5.117576760316596,
        5.117597739430076,
        5.117618718543556,
        5.1176396976570375,
        5.117660676770518,
        5.117681655883999,
        5.117702634997479,
        5.117723614110959,
        5.11774459322444,
        5.1177660491359545,
        5.117787028249435,
        5.117808007362915,
        5.117828986476396,
        5.117849965589876,
        5.117870944703356,
        5.117891923816837,
        5.117912902930318,
        5.117933882043798,
        5.117954861157279,
        5.117975840270759,
        5.117996819384239,
        5.11801779849772,
        5.118038777611201,
        5.118059756724681,
        5.118080735838162,
        5.118101714951642,
        5.118122694065122,
        5.118143673178603,
        5.118164652292084,
        5.118185631405564,
        5.118206610519045,
        5.118227112834492,
        5.118248091947972,
        5.1182690710614525,
        5.1182900501749335,
        5.118311029288414,
        5.118332008401894,
        5.118352987515375,
        5.118373966628855,
        5.1183949457423354,
        5.1184159248558165,
        5.118436903969297,
        5.118457883082777,
        5.118478862196258,
        5.118499841309738,
        5.118520820423218,
        5.118541322738666,
        5.118562301852146,
        5.118583280965627,
        5.118604260079107,
        5.118625239192587,
        5.118646218306068,
        5.118667197419549,
        5.118688176533029,
        5.11870915564651,
        5.118729657961956,
        5.118750637075437,
        5.118771616188917,
        5.1187925953023985,
        5.118813574415879,
        5.118834553529359,
        5.11885553264284,
        5.11887651175632,
        5.118897014071767,
        5.1189179931852475,
        5.118938972298728,
        5.118959951412209,
        5.118980930525689,
        5.119001909639169,
        5.119022411954616,
        5.119043391068097,
        5.119064370181578,
        5.119085349295058,
        5.119106328408538,
        5.119126830723985,
        5.119147809837465,
        5.1191687889509465,
        5.119189768064427,
        5.119210747177907,
        5.119231249493354,
        5.119252228606834,
        5.119273207720315,
        5.119294186833796,
        5.119315165947277,
        5.119335668262723,
        5.119356647376204,
        5.119377626489684,
        5.119398605603164,
        5.1194191079186115,
        5.119440087032092,
        5.119461066145573,
        5.119482045259053,
        5.1195025475745,
        5.11952352668798,
        5.119544505801461,
        5.119565484914942,
        5.119585987230388,
        5.119606966343869,
        5.119627945457349,
        5.119648924570829,
        5.119669426886277,
        5.119690405999757,
        5.119711385113238,
        5.119731887428684,
        5.119752866542165,
        5.119773845655645,
        5.119794347971093,
        5.119815327084573,
        5.119836306198054,
        5.119857285311534,
        5.119877787626981,
        5.119898766740461,
        5.119919745853942,
        5.119940248169389,
        5.119961227282869,
        5.11998220639635,
        5.120002708711796,
        5.120023687825277,
        5.120044666938758,
        5.120065169254205,
        5.120086148367685,
        5.120107127481165,
        5.120127629796612,
        5.1201486089100925,
        5.12016911122554,
        5.12019009033902,
        5.120211069452501,
        5.120231571767947,
        5.120252550881428,
        5.1202735299949085,
        5.120294032310356,
        5.120315011423836,
        5.120335513739283,
        5.120356492852763,
        5.120377471966244,
        5.1203979742816905,
        5.120418953395172,
        5.120439455710618,
        5.120460434824099,
        5.120480937139545,
        5.120501916253026,
        5.1205228953665065,
        5.120543397681954,
        5.120564376795434,
        5.120584879110881,
        5.120605858224361,
        5.120626360539808,
        5.1206473396532886,
        5.120668318766769,
        5.120688821082216,
        5.120709800195696,
        5.120730302511143,
        5.1207512816246235,
        5.120771783940071,
        5.120792763053551,
        5.120813265368998,
        5.120834244482478,
        5.120854746797925,
        5.1208757259114055,
        5.120896228226853,
        5.120917207340333,
        5.12093770965578,
        5.120958688769261,
        5.120979191084707,
        5.121000170198188,
        5.121020672513635,
        5.121041651627116,
        5.121062153942562,
        5.121083133056043,
        5.121103635371489,
        5.1211246144849705,
        5.121145116800417,
        5.121166095913898,
        5.121186598229344,
        5.121207577342825,
        5.121228079658271,
        5.121248581973719,
        5.121269561087199,
        5.121290063402646,
        5.121311042516126,
        5.121331544831573,
        5.1213525239450535,
        5.121373026260501,
        5.121393528575948,
        5.121414507689428,
        5.121435010004875,
        5.121455989118355,
        5.1214764914338025,
        5.121497470547283,
        5.12151797286273,
        5.121538475178177,
        5.121559454291657,
        5.121579956607104,
        5.1216009357205845,
        5.121621438036032,
        5.121641940351478,
        5.121662919464959,
        5.121683421780405,
        5.121703924095852,
        5.121724903209333,
        5.12174540552478,
        5.121765907840227,
        5.121786886953707,
        5.121807389269154,
        5.1218283683826344,
        5.121848870698082,
        5.121869373013528,
        5.121890352127009,
        5.121910854442455,
        5.121931356757902,
        5.1219523358713825,
        5.12197283818683,
        5.121993340502277,
        5.122014319615757,
        5.122034821931204,
        5.122055324246651,
        5.122075826562098,
        5.122096805675579,
        5.122117307991025,
        5.122137810306472,
        5.122158789419952,
        5.122179291735399,
        5.122199794050847,
        5.122220773164327,
        5.122241275479774,
        5.12226177779522,
        5.122282280110667,
        5.1223032592241475,
        5.122323761539595,
        5.122344263855042,
        5.122364766170488,
        5.122385745283969,
        5.122406247599415,
        5.122426749914863,
        5.12244725223031,
        5.12246823134379,
        5.122488733659237,
        5.122509235974683,
        5.1225297382901305,
        5.122550717403611,
        5.122571219719058,
        5.122591722034505,
        5.122612224349952,
        5.122632726665398,
        5.1226537057788795,
        5.122674208094326,
        5.122694710409773,
        5.12271521272522,
        5.122735715040666,
        5.122756694154147,
        5.122777196469594,
        5.122797698785041,
        5.122818201100488,
        5.122838703415934,
        5.122859682529415,
        5.1228801848448615,
        5.122900687160309,
        5.122921189475756,
        5.122941691791202,
        5.122962194106649,
        5.122982696422096,
        5.123003675535577,
        5.123024177851024,
        5.12304468016647,
        5.123065182481917,
        5.123085684797364,
        5.1231061871128105,
        5.123126689428258,
        5.123147668541739,
        5.123168170857185,
        5.123188673172632,
        5.123209175488079,
        5.123229677803526,
        5.123250180118973,
        5.12327068243442,
        5.123291184749866,
        5.123311687065313,
        5.1233326661787935,
        5.123353168494241,
        5.123373670809688,
        5.123394173125134,
        5.123414675440581,
        5.123435177756028,
        5.123455680071475,
        5.123476182386922,
        5.123496684702369,
        5.123517187017815,
        5.123537689333262,
        5.123558191648709,
        5.123578693964156,
        5.123599196279603,
        5.12361969859505,
        5.123640200910496,
        5.123661180023977,
        5.1236816823394244,
        5.123702184654871,
        5.123722686970318,
        5.123743189285765,
        5.123763691601211,
        5.123784193916658,
        5.1238046962321055,
        5.123825198547552,
        5.123845700862999,
        5.123866203178446,
        5.123886705493892,
        5.1239072078093395,
        5.123927710124787,
        5.123948212440233,
        5.12396871475568,
        5.123989217071127,
        5.1240097193865735,
        5.124030221702021,
        5.124050724017468,
        5.124070749534881,
        5.124091251850327,
        5.124111754165774,
        5.1241322564812215,
        5.124152758796668,
        5.124173261112115,
        5.124193763427562,
        5.124214265743009,
        5.1242347680584555,
        5.124255270373903,
        5.12427577268935,
        5.124296275004796,
        5.124316777320243,
        5.12433727963569,
        5.124357781951137,
        5.124378284266584,
        5.124398309783997,
        5.124418812099444,
        5.12443931441489,
        5.1244598167303375,
        5.124480319045785,
        5.124500821361231,
        5.124521323676678,
        5.124541825992125,
        5.124562328307571,
        5.124582353824985,
        5.124602856140432,
        5.124623358455879,
        5.124643860771325,
        5.124705367717666,
        5.124745895550526,
        5.124766397865973,
        5.12478690018142,
        5.124807402496867,
        5.124827904812314,
        5.124848407127761,
        5.124868432645174,
        5.124929939591515,
        5.124950441906961,
        5.124970467424374,
        5.124990969739821,
        5.125011472055268,
        5.125031974370715,
        5.125052476686162,
        5.125072502203575,
        5.125093004519022,
        5.125113506834468,
        5.125134009149916,
        5.125154511465363,
        5.125174536982776,
        5.125195039298222,
        5.125215541613669,
        5.1252360439291165,
        5.12525606944653,
        5.125276571761976,
        5.125297074077423,
        5.12531757639287,
        5.125337601910283,
        5.125358104225731,
        5.125378606541177,
        5.125399108856624,
        5.125419134374037,
        5.125439636689484,
        5.125460139004931,
        5.125480641320378,
        5.125500666837791,
        5.125521169153238,
        5.125541671468684,
        5.1255616969860975,
        5.125582199301545,
        5.125602701616992,
        5.125623203932438,
        5.125643229449851,
        5.125663731765298,
        5.125684234080746,
        5.125704259598159,
        5.125724761913605,
        5.125745264229052,
        5.125765289746465,
        5.1257857920619125,
        5.125806294377359,
        5.125826319894772,
        5.125846822210219,
        5.125867324525666,
        5.1258873500430795,
        5.125907852358527,
        5.125928354673973,
        5.125948380191386,
        5.125968882506833,
        5.1259889080242464,
        5.126009410339694,
        5.12602991265514,
        5.126049938172553,
        5.126070440488,
        5.126090942803447,
        5.1261109683208606,
        5.126131470636307,
        5.12615149615372,
        5.126171998469167,
        5.126192500784614,
        5.1262125263020275,
        5.126233028617474,
        5.126253054134887,
        5.126273556450334,
        5.126294058765781,
        5.1263140842831945,
        5.126334586598641,
        5.126354612116054,
        5.126375114431501,
        5.126395139948914,
        5.126415642264361,
        5.126436144579809,
        5.126456170097222,
        5.126476672412668,
        5.126496697930081,
        5.126517200245528,
        5.126537225762942,
        5.126557728078389,
        5.126577753595802,
        5.126598255911248,
        5.126618281428661,
        5.1266387837441085,
        5.126658809261522,
        5.126679311576969,
        5.126699337094382,
        5.126719839409828,
        5.1267398649272415,
        5.126760367242689,
        5.126780392760102,
        5.126800895075549,
        5.126820920592962,
        5.1268414229084085,
        5.126861448425822,
        5.126881950741269,
        5.126901976258682,
        5.126922478574129,
        5.126942504091542,
        5.1269630064069895,
        5.126983031924403,
        5.127003534239849,
        5.127023559757262,
        5.127044062072709,
        5.1270640875901226,
        5.127084113107536,
        5.127104615422983,
        5.127124640940396,
        5.127145143255842,
        5.127165168773256,
        5.127185671088703,
        5.127205696606116,
        5.127225722123529,
        5.127246224438976,
        5.1272662499563895,
        5.127286752271836,
        5.127306777789249,
        5.127327280104696,
        5.127347305622109,
        5.1273673311395225,
        5.12738783345497,
        5.127407858972383,
        5.127427884489796,
        5.127448386805242,
        5.127508940155516,
        5.127528965672929,
        5.127549467988376,
        5.127569493505789,
        5.127589519023203,
        5.12761002133865,
        5.127630046856063,
        5.127650072373476,
        5.127670574688922,
        5.127690600206336,
        5.127710625723749,
        5.127731128039196,
        5.127751153556609,
        5.127771179074022,
        5.1277916813894695,
        5.127811706906883,
        5.127831732424296,
        5.127852234739742,
        5.127872260257155,
        5.127892285774569,
        5.127912788090016,
        5.127932813607429,
        5.127952839124842,
        5.127973341440289,
        5.1279933669577025,
        5.128013392475116,
        5.128033417992529,
        5.128053920307976,
        5.128073945825389,
        5.128093971342802,
        5.128113996860216,
        5.128134499175662,
        5.128154524693075,
        5.128174550210488,
        5.1281945757279015,
        5.128215078043349,
        5.128235103560762,
        5.128255129078175,
        5.128275154595588,
        5.128295656911035,
        5.128315682428449,
        5.128335707945862,
        5.128355733463275,
        5.128376235778721,
        5.1283962612961345,
        5.128416286813548,
        5.128436312330961,
        5.128456337848374,
        5.128476840163821,
        5.128496865681234,
        5.128516891198648,
        5.128536916716061,
        5.128556942233474,
        5.128577444548921,
        5.128597470066334,
        5.128617495583748,
        5.128637521101161,
        5.128657546618574,
        5.128677572135987,
        5.128698074451434,
        5.1287180999688475,
        5.128738125486261,
        5.128758151003674,
        5.128778176521087,
        5.1287982020385,
        5.1288182275559135,
        5.12883872987136,
        5.128858755388773,
        5.128878780906186,
        5.128898806423599,
        5.128918831941013,
        5.128938857458426,
        5.128958882975839,
        5.128978908493252,
        5.128999410808699,
        5.129019436326113,
        5.129039461843526,
        5.129059487360939,
        5.129079512878352,
        5.129099538395765,
        5.129119563913179,
        5.129139589430592,
        5.129159614948005,
        5.129179640465418,
        5.129200142780865,
        5.1292201682982785,
        5.129260219333105,
        5.129280244850518,
        5.129300270367931,
        5.1293202958853445,
        5.129340321402758,
        5.129360346920171,
        5.129380372437584,
        5.129400397954997,
        5.129420423472411,
        5.129440448989824,
        5.129460474507237,
        5.12948050002465,
        5.129520551059477,
        5.129560602094303,
        5.129580627611716,
        5.129600653129129,
        5.129620678646543,
        5.129640704163956,
        5.129660729681369,
        5.129780882785848,
        5.129800908303261,
        5.129840959338088,
        5.129860984855501,
        5.129881010372914,
        5.129901035890327,
        5.129921061407741,
        5.129941086925154,
        5.129961112442567,
        5.12998113795998,
        5.130001163477393,
        5.130021188994807,
        5.130040737714187,
        5.1300607632316,
        5.130080788749013,
        5.130100814266426,
        5.13012083978384,
        5.130140865301253,
        5.130160890818666,
        5.130180916336079,
        5.130200941853492,
        5.130220967370906,
        5.130240992888319,
        5.130260541607698,
        5.130280567125111,
        5.1303005926425245,
        5.130320618159938,
        5.130340643677351,
        5.130360669194764,
        5.130380694712177,
        5.1304007202295905,
        5.130420268948971,
        5.130440294466384,
        5.130460319983797,
        5.13048034550121,
        5.130500371018623,
        5.130520396536037,
        5.13054042205345,
        5.130559970772829,
        5.130579996290242,
        5.1306000218076555,
        5.130620047325069,
        5.130640072842482,
        5.130659621561861,
        5.130679647079274,
        5.130699672596688,
        5.130719698114101,
        5.130739723631514,
        5.130759749148927,
        5.130779297868307,
        5.1307993233857205,
        5.130819348903134,
        5.130839374420547,
        5.130858923139926,
        5.130878948657339,
        5.130898974174753,
        5.130918999692166,
        5.130939025209579,
        5.130958573928959,
        5.130978599446372,
        5.130998624963786,
        5.131018650481199,
        5.131038199200578,
        5.131058224717991,
        5.131078250235404,
        5.131098275752818,
        5.131117824472197,
        5.13113784998961,
        5.131157875507023,
        5.1311779010244365,
        5.131197449743817,
        5.13121747526123,
        5.131237500778643,
        5.131257049498022,
        5.1312770750154355,
        5.131297100532849,
        5.131317126050262,
        5.131336674769642,
        5.131356700287055,
        5.1313767258044685,
        5.131396274523848,
        5.131416300041261,
        5.131436325558674,
        5.131455874278053,
        5.131475899795467,
        5.13149592531288,
        5.13151547403226,
        5.131535499549673,
        5.131555525067086,
        5.131575073786466,
        5.131595099303879,
        5.131615124821292,
        5.131634673540671,
        5.1316546990580845,
        5.131674724575498,
        5.131694273294878,
        5.131714298812291,
        5.13173384753167,
        5.1317538730490835,
        5.131773898566497,
        5.131793447285876,
        5.131813472803289,
        5.131833498320702,
        5.1318530470400825,
        5.131873072557496,
        5.131892621276875,
        5.131912646794288,
        5.131932672311701,
        5.1319522210310815,
        5.131972246548495,
        5.131991795267874,
        5.132011820785287,
        5.132031369504666,
        5.13205139502208,
        5.132071420539493,
        5.132090969258873,
        5.132110994776286,
        5.132130543495665,
        5.132150569013079,
        5.132170117732458,
        5.132190143249871,
        5.132209691969251,
        5.1322297174866645,
        5.132249743004078,
        5.132269291723457,
        5.13228931724087,
        5.132308865960249,
        5.132328891477663,
        5.132348440197043,
        5.132368465714456,
        5.132388014433835,
        5.132408039951248,
        5.1324275886706285,
        5.132447614188042,
        5.132467162907421,
        5.132487188424834,
        5.1325067371442135,
        5.132526762661627,
        5.132546311381007,
        5.13256633689842,
        5.132585885617799,
        5.1326059111352125,
        5.132625459854592,
        5.132645485372005,
        5.132665034091385,
        5.132685059608798,
        5.1327046083281775,
        5.132724157047557,
        5.13274418256497,
        5.13276373128435,
        5.132783756801763,
        5.132803305521143,
        5.132823331038556,
        5.132842879757935,
        5.132862905275348,
        5.132882453994728,
        5.132902002714108,
        5.132922028231521,
        5.1329415769509,
        5.132961602468314,
        5.1329811511876935,
        5.133000699907073,
        5.133020725424486,
        5.133040274143866,
        5.133060299661279,
        5.133079848380659,
        5.133099397100038,
        5.133119422617451,
        5.133138971336831,
        5.133158996854244,
        5.133178545573624,
        5.133198094293003,
        5.133218119810416,
        5.133237668529796,
        5.1332572172491755,
        5.133277242766589,
        5.133296791485968,
        5.133316340205348,
        5.133336365722761,
        5.133355914442141,
        5.13337546316152,
        5.133395488678933,
        5.133415037398313,
        5.133434586117692,
        5.133454611635106,
        5.133474160354485,
        5.133493709073865,
        5.1335332833106575,
        5.133552832030038,
        5.133572857547451,
        5.13359240626683,
        5.133611954986209,
        5.133631980503623,
        5.133651529223003,
        5.133671077942382,
        5.133690626661761,
        5.133710652179174,
        5.133730200898555,
        5.133749749617934,
        5.133769298337313,
        5.1338088725741065,
        5.133828421293486,
        5.133847970012865,
        5.133867995530278,
        5.133887544249658,
        5.133907092969038,
        5.133926641688417,
        5.13394666720583,
        5.13396621592521,
        5.1339857646445894,
        5.134005313363969,
        5.134025338881382,
        5.134064436320141,
        5.1340839850395215,
        5.134103533758901,
        5.134123559276314,
        5.134143107995693,
        5.134162656715073,
        5.134182205434453,
        5.134201754153832,
        5.134221779671245,
        5.134241328390625,
        5.1342608771100045,
        5.134280425829384,
        5.134299974548764,
        5.134320000066177,
        5.134339548785556,
        5.134359097504936,
        5.134378646224316,
        5.134398194943695,
        5.134417743663074,
        5.134437292382454,
        5.134457317899868,
        5.134476866619247,
        5.134496415338626,
        5.134515964058006,
        5.1345355127773855,
        5.134555061496765,
        5.134574610216145,
        5.134594635733558,
        5.134614184452937,
        5.1346337331723175,
        5.134672830611076,
        5.134692379330456,
        5.1347119280498354,
        5.134731476769215,
        5.134751025488595,
        5.134770574207974,
        5.134790599725387,
        5.134810148444767,
        5.134829697164147,
        5.134849245883526,
        5.134868794602905,
        5.134888343322285,
        5.134907892041665,
        5.134927440761044,
        5.134946989480424,
        5.134966538199803,
        5.134986086919183,
        5.135005635638563,
        5.135025184357942,
        5.135044733077321,
        5.135064281796701,
        5.13510337923546,
        5.135123404752873,
        5.135142953472253,
        5.1351625021916325,
        5.135182050911013,
        5.135201599630392,
        5.135221148349771,
        5.135240697069151,
        5.135260245788531,
        5.13527979450791,
        5.13529934322729,
        5.135318891946669,
        5.1353384406660485,
        5.135357989385429,
        5.135377538104808,
        5.135397086824187,
        5.135416158745533,
        5.135435707464913,
        5.135455256184293,
        5.135494353623051,
        5.135513902342431,
        5.13555299978119,
        5.13557254850057,
        5.135592097219949,
        5.135611645939329,
        5.135631194658709,
        5.135728938255607,
        5.135748486974986,
        5.1357871076157116,
        5.135806656335091,
        5.13588485121261,
        5.135904399931989,
        5.135923948651368,
        5.135943020572714,
        5.136040764169612,
        5.136060312888992,
        5.136098933529717,
        5.136157579687856,
        5.136177128407235,
        5.136196677126615,
        5.1362157490479605,
        5.136293943925479,
        5.1363912107243435,
        5.142136150231767,
        5.149205634676665,
        5.149228044184246,
        5.150476778234371,
        5.150499187741953,
        5.150544483555149,
        5.1507027805023196,
        5.150838667941909,
        5.150883963755106,
        5.1509292595683025,
        5.150951669075884,
        5.150974555381499,
        5.150996964889081,
        5.151019851194696,
        5.151065147007892,
        5.15113285232867,
        5.1511552618362515,
        5.151178148141867,
        5.151200557649449,
        5.15122296715703,
        5.151245853462645,
        5.151335968291004,
        5.151358854596619,
        5.1513812641042005,
        5.1514036736117825,
        5.151426559917398,
        5.151448969424979,
        5.15147137893256,
        5.151494265238175,
        5.151516674745757,
        5.151539084253338,
        5.151561970558953,
        5.151606789574116,
        5.151674494894895,
        5.15169738120051,
        5.151742200215672,
        5.151765086521287,
        5.15180990553645,
        5.151832791842065,
        5.151855201349647,
        5.151877610857229,
        5.15190002036481,
        5.151922906670425,
        5.151945316178006,
        5.151967725685588,
        5.151990611991203,
        5.152013021498784,
        5.152035431006365,
        5.152057840513947,
        5.1520807268195625,
        5.152103136327144,
        5.152125545834726,
        5.152147955342307,
        5.152170841647922,
        5.152193251155503,
        5.152215660663085,
        5.152238070170666,
        5.152260956476281,
        5.1522833659838625,
        5.152328184999026,
        5.152350594506607,
        5.152373480812222,
        5.152395890319804,
        5.152418299827385,
        5.152440709334966,
        5.152463118842548,
        5.152486005148163,
        5.1525084146557445,
        5.152530824163326,
        5.152553233670908,
        5.152575643178489,
        5.152598529484104,
        5.152620938991685,
        5.152643348499267,
        5.152665758006848,
        5.15268816751443,
        5.152710577022011,
        5.15277828234279,
        5.152800691850371,
        5.152823101357952,
        5.152845510865534,
        5.152867920373115,
        5.15289080667873,
        5.152913216186311,
        5.152935625693893,
        5.1529580352014746,
        5.152980444709056,
        5.153002854216638,
        5.153025263724219,
        5.1530476732318,
        5.153070082739382,
        5.153092969044997,
        5.153115378552578,
        5.153137788060159,
        5.1531601975677415,
        5.153182607075323,
        5.153205016582905,
        5.153227426090486,
        5.153249835598067,
        5.153272245105649,
        5.15329465461323,
        5.153317064120811,
        5.153339473628393,
        5.153361883135974,
        5.1533847694415895,
        5.153407178949171,
        5.153429588456753,
        5.1535864550098225,
        5.153631274024986,
        5.153653683532567,
        5.153676093040148,
        5.15369850254773,
        5.153720912055311,
        5.153743321562892,
        5.153765731070474,
        5.1537881405780555,
        5.1538105500856375,
        5.153832959593219,
        5.1538553691008,
        5.153877778608382,
        5.153900188115963,
        5.153922597623544,
        5.153945007131126,
        5.153967416638707,
        5.153989826146288,
        5.1540122356538705,
        5.154034168363418,
        5.154056577871,
        5.154078987378581,
        5.154101396886162,
        5.154123806393744,
        5.154146215901325,
        5.154168625408906,
        5.154191034916488,
        5.1542134444240695,
        5.154235853931651,
        5.154258263439233,
        5.154280672946814,
        5.154303082454396,
        5.154325015163943,
        5.154347424671525,
        5.154369834179106,
        5.154392243686687,
        5.154414653194269,
        5.1544370627018505,
        5.154459472209432,
        5.154481881717014,
        5.154504291224595,
        5.154526223934143,
        5.154548633441724,
        5.154571042949305,
        5.154593452456887,
        5.154615861964468,
        5.15463827147205,
        5.154660680979632,
        5.154682613689179,
        5.154705023196761,
        5.154727432704342,
        5.154749842211923,
        5.154772251719505,
        5.154794661227086,
        5.154816593936634,
        5.1548390034442155,
        5.154861412951798,
        5.154883822459379,
        5.15490623196696,
        5.154928641474542,
        5.154950574184089,
        5.154972983691671,
        5.154995393199252,
        5.155017802706833,
        5.155040212214415,
        5.155062144923963,
        5.155084554431545,
        5.155106963939126,
        5.155129373446707,
        5.155151306156255,
        5.155173715663836,
        5.155196125171418,
        5.155218534678999,
        5.1552404673885475,
        5.155262876896129,
        5.15528528640371,
        5.155307695911292,
        5.155329628620839,
        5.155352038128421,
        5.155374447636002,
        5.155396857143584,
        5.155418789853131,
        5.155441199360713,
        5.155463608868295,
        5.155486018375876,
        5.155507951085424,
        5.155530360593005,
        5.155552770100587,
        5.155574702810134,
        5.155597112317716,
        5.155619521825297,
        5.1556419313328785,
        5.155663864042427,
        5.155686273550008,
        5.15570868305759,
        5.155730615767137,
        5.155753025274719,
        5.1557754347823,
        5.155797367491848,
        5.155819776999429,
        5.1558421865070105,
        5.155864119216559,
        5.15588652872414,
        5.155908938231722,
        5.155930870941269,
        5.155953280448851,
        5.155975213158399,
        5.15599762266598,
        5.156020032173561,
        5.1560419648831095,
        5.156064374390691,
        5.156086783898273,
        5.15610871660782,
        5.156131126115402,
        5.156153058824949,
        5.156175468332531,
        5.156197877840112,
        5.15621981054966,
        5.1562422200572415,
        5.15626415276679,
        5.156286562274371,
        5.156308971781952,
        5.1563309044915,
        5.156353313999081,
        5.156375246708629,
        5.15639765621621,
        5.156420065723792,
        5.15644199843334,
        5.156486340650469,
        5.156508750158051,
        5.156575025084728,
        5.156597434592309,
        5.1566198440998905,
        5.156641776809439,
        5.15666418631702,
        5.156686119026568,
        5.156708528534149,
        5.156730461243697,
        5.156752870751278,
        5.156774803460826,
        5.156797212968407,
        5.1568191456779555,
        5.156841555185537,
        5.156863487895085,
        5.156885897402666,
        5.156907830112214,
        5.156930239619795,
        5.156952172329343,
        5.156974581836924,
        5.1569965145464725,
        5.157018924054054,
        5.157040856763602,
        5.157063266271184,
        5.157085198980731,
        5.157107131690279,
        5.15712954119786,
        5.157151473907408,
        5.157173883414989,
        5.1571958161245375,
        5.157218225632119,
        5.157240158341667,
        5.157262567849248,
        5.157284500558796,
        5.157306433268344,
        5.157328842775925,
        5.157350775485473,
        5.157373184993054,
        5.1573951177026025,
        5.15741705041215,
        5.157439459919732,
        5.157461392629279,
        5.157483802136861,
        5.157505734846408,
        5.157527667555956,
        5.157550077063537,
        5.1575720097730855,
        5.1575944192806675,
        5.157616351990215,
        5.157638284699763,
        5.157660694207344,
        5.157682626916892,
        5.15770455962644,
        5.157726969134021,
        5.157748901843569,
        5.1577713113511505,
        5.157793244060699,
        5.157815176770246,
        5.157837586277828,
        5.157859518987375,
        5.157881451696923,
        5.157903861204504,
        5.157925793914052,
        5.1579477266236005,
        5.157970136131182,
        5.15799206884073,
        5.158014001550277,
        5.158036411057859,
        5.158058343767406,
        5.158080276476954,
        5.158102209186502,
        5.1581246186940835,
        5.1581465514036315,
        5.15816848411318,
        5.158190893620761,
        5.158212826330309,
        5.158234759039856,
        5.158256691749404,
        5.158279101256985,
        5.158301033966533,
        5.1583229666760815,
        5.158344899385629,
        5.158367308893211,
        5.158389241602758,
        5.158411174312306,
        5.158433107021854,
        5.158455516529435,
        5.158477449238983,
        5.1584993819485305,
        5.158521314658079,
        5.15854372416566,
        5.158565656875208,
        5.158587589584756,
        5.158609522294303,
        5.158631931801885,
        5.158653864511432,
        5.1586757972209805,
        5.1586977299305286,
        5.158719662640077,
        5.158742072147658,
        5.158764004857206,
        5.158785937566753,
        5.158807870276301,
        5.158829802985849,
        5.1588517356953965,
        5.1588741452029785,
        5.158896077912526,
        5.158918010622074,
        5.158939943331622,
        5.158961876041169,
        5.158983808750717,
        5.159006218258298,
        5.159028150967846,
        5.1590500836773945,
        5.159072016386942,
        5.15909394909649,
        5.159115881806038,
        5.159137814515585,
        5.159160224023167,
        5.159182156732714,
        5.159204089442262,
        5.1592260221518105,
        5.159247954861359,
        5.159269887570906,
        5.159291820280454,
        5.159313752990002,
        5.159336162497583,
        5.159358095207131,
        5.159380027916678,
        5.1594019606262265,
        5.159423893335775,
        5.159445826045322,
        5.15946775875487,
        5.159489691464418,
        5.159511624173965,
        5.159533556883513,
        5.1595774223026085,
        5.159599355012157,
        5.159621287721705,
        5.159665629938834,
        5.159687562648381,
        5.159709495357929,
        5.159731428067477,
        5.1597533607770245,
        5.159775293486573,
        5.159797226196121,
        5.159819158905669,
        5.159841091615216,
        5.159863024324764,
        5.159884957034312,
        5.159906889743859,
        5.1599288224534074,
        5.1599507551629555,
        5.159972687872503,
        5.159994620582051,
        5.160016553291599,
        5.160038486001146,
        5.160060418710694,
        5.160082351420242,
        5.1601042841297895,
        5.160126216839338,
        5.160148149548886,
        5.160170082258433,
        5.160192014967981,
        5.160213947677529,
        5.160235880387076,
        5.160257813096624,
        5.1602792690081385,
        5.160301201717687,
        5.160323134427235,
        5.160345067136782,
        5.16036699984633,
        5.160388932555878,
        5.160410865265425,
        5.160432797974973,
        5.160454730684521,
        5.160476663394069,
        5.160498596103617,
        5.160520528813165,
        5.160542461522712,
        5.160563917434226,
        5.160585850143774,
        5.160607782853322,
        5.1606297155628695,
        5.160651648272418,
        5.160673580981966,
        5.160695513691513,
        5.160717446401061,
        5.160739379110609,
        5.160760835022123,
        5.16078276773167,
        5.1608047004412185,
        5.160826633150767,
        5.160848565860314,
        5.160870498569862,
        5.16089243127941,
        5.160913887190924,
        5.160935819900472,
        5.160957752610019,
        5.1609796853195675,
        5.161001618029116,
        5.161023550738663,
        5.161045006650177,
        5.161066939359725,
        5.161088872069273,
        5.16111080477882,
        5.161132737488368,
        5.161154193399883,
        5.161176126109431,
        5.161198058818978,
        5.161219991528526,
        5.161241924238074,
        5.161263380149588,
        5.161285312859135,
        5.1613072455686835,
        5.161329178278232,
        5.161350634189746,
        5.161372566899293,
        5.161394499608841,
        5.161416432318389,
        5.161438365027937,
        5.161459820939451,
        5.1614817536489985,
        5.161503686358547,
        5.161525619068095,
        5.161547074979609,
        5.161569007689156,
        5.161590940398704,
        5.161612396310218,
        5.161634329019766,
        5.161656261729314,
        5.161721583059924,
        5.161743515769471,
        5.161764971680985,
        5.161786904390533,
        5.161808837100081,
        5.161830769809629,
        5.161852225721143,
        5.161874158430691,
        5.161896091140239,
        5.161917547051753,
        5.1619394797613,
        5.161961412470848,
        5.1619828683823625,
        5.162004801091911,
        5.162026733801459,
        5.162048189712973,
        5.16207012242252,
        5.162092055132068,
        5.162113511043582,
        5.16213544375313,
        5.162157376462678,
        5.162178832374192,
        5.16220076508374,
        5.162222220995254,
        5.162244153704802,
        5.162266086414349,
        5.162287542325863,
        5.1623094750354115,
        5.16233140774496,
        5.162352863656474,
        5.162374796366021,
        5.162396252277535,
        5.162418184987083,
        5.162440117696631,
        5.162461573608145,
        5.162483506317693,
        5.162504962229207,
        5.162526894938755,
        5.162548350850269,
        5.162570283559817,
        5.162592216269365,
        5.162613672180879,
        5.1626356048904265,
        5.162657060801941,
        5.162678993511489,
        5.162700449423003,
        5.162722382132551,
        5.162744314842098,
        5.162765770753612,
        5.16278770346316,
        5.1628091593746746,
        5.162831092084223,
        5.162852547995737,
        5.162874480705284,
        5.162895936616798,
        5.162917869326346,
        5.16293932523786,
        5.1629612579474085,
        5.162982713858923,
        5.16300464656847,
        5.163026102479984,
        5.163048035189532,
        5.163069491101046,
        5.163091423810594,
        5.163112879722108,
        5.1631348124316565,
        5.163156268343171,
        5.163178201052718,
        5.163199656964232,
        5.16322158967378,
        5.163243045585294,
        5.163264501496808,
        5.1632864342063565,
        5.163307890117871,
        5.163329822827418,
        5.163351278738932,
        5.16337321144848,
        5.163394667359994,
        5.163416600069542,
        5.163438055981056,
        5.163459511892571,
        5.163481444602118,
        5.163502900513632,
        5.16352483322318,
        5.163546289134694,
        5.163568221844242,
        5.163589677755756,
        5.1636111336672705,
        5.163633066376819,
        5.163654522288333,
        5.16367645499788,
        5.163697910909394,
        5.163719366820908,
        5.163741299530456,
        5.1637627554419705,
        5.163784211353485,
        5.163806144063033,
        5.163827599974547,
        5.163849532684094,
        5.163870988595608,
        5.163892444507122,
        5.1639143772166705,
        5.163935833128185,
        5.163957289039699,
        5.163979221749247,
        5.164000677660761,
        5.164022133572275,
        5.164044066281822,
        5.1640655221933365,
        5.164086978104851,
        5.164108910814399,
        5.164130366725913,
        5.164151822637427,
        5.164173755346975,
        5.164195211258489,
        5.164216667170003,
        5.1642381230815175,
        5.164260055791066,
        5.16428151170258,
        5.164302967614094,
        5.164324900323641,
        5.164346356235155,
        5.164367812146669,
        5.1643892680581835,
        5.164411200767732,
        5.164432656679246,
        5.16445411259076,
        5.164475568502274,
        5.164497501211822,
        5.164518957123336,
        5.1645404130348505,
        5.164561868946365,
        5.164583801655912,
        5.164605257567426,
        5.16462671347894,
        5.164648169390454,
        5.164670102100002,
        5.1646915580115165,
        5.164713013923031,
        5.164734469834545,
        5.164756402544093,
        5.164777858455607,
        5.164799314367121,
        5.164820770278635,
        5.164842226190149,
        5.1648641588996975,
        5.164885614811212,
        5.164907070722726,
        5.16492852663424,
        5.164949982545754,
        5.164971438457268,
        5.1649933711668155,
        5.16501482707833,
        5.165036282989844,
        5.165057738901358,
        5.165079194812872,
        5.165100650724386,
        5.165122583433934,
        5.165144039345448,
        5.165165495256963,
        5.165186951168477,
        5.165208407079991,
        5.165229862991505,
        5.165251318903019,
        5.165273251612567,
        5.165294707524081,
        5.1653161634355955,
        5.16533761934711,
        5.165359075258624,
        5.165380531170138,
        5.165401987081652,
        5.165423442993166,
        5.16544489890468,
        5.1654668316142285,
        5.165488287525743,
        5.165509743437257,
        5.165531199348771,
        5.165552655260285,
        5.165574111171799,
        5.165595567083313,
        5.1656170229948275,
        5.165638478906342,
        5.165659934817856,
        5.16568139072937,
        5.165702846640884,
        5.165724302552398,
        5.165745758463912,
        5.1657672143754265,
        5.165789147084975,
        5.165810602996489,
        5.165832058908003,
        5.165853514819517,
        5.165874970731031,
        5.165896426642545,
        5.1659178825540595,
        5.165939338465574,
        5.165960794377088,
        5.165982250288602,
        5.166003706200116,
        5.16602516211163,
        5.166046618023144,
        5.1660680739346585,
        5.166089529846173,
        5.166110985757687,
        5.166132441669201,
        5.166153897580715,
        5.166175353492229,
        5.166196809403743,
        5.1662182653152575,
        5.166239721226772,
        5.166261177138286,
        5.166282156251766,
        5.16630361216328,
        5.166325068074794,
        5.1663465239863084,
        5.166367979897823,
        5.166389435809337,
        5.166410891720851,
        5.166432347632365,
        5.166453803543879,
        5.166475259455393,
        5.1664967153669075,
        5.166518171278422,
        5.166539627189936,
        5.16656108310145,
        5.166582539012964,
        5.166603518126445,
        5.166624974037959,
        5.166646429949473,
        5.166667885860988,
        5.166689341772502,
        5.166710797684016,
        5.16673225359553,
        5.166753709507044,
        5.166775165418558,
        5.1667961445320385,
        5.166817600443553,
        5.166839056355067,
        5.166860512266581,
        5.166881968178095,
        5.166903424089609,
        5.166924880001123,
        5.1669458591146045,
        5.166967315026119,
        5.166988770937633,
        5.167010226849147,
        5.167031682760661,
        5.167053138672175,
        5.167074117785655,
        5.1670955736971695,
        5.167117029608684,
        5.167138485520198,
        5.167159941431712,
        5.167181397343226,
        5.167202376456706,
        5.1672238323682205,
        5.167245288279735,
        5.167266744191249,
        5.167288200102763,
        5.167309179216244,
        5.167330635127758,
        5.167352091039272,
        5.167373546950786,
        5.167394526064267,
        5.167415981975781,
        5.167437437887295,
        5.167458893798809,
        5.16747987291229,
        5.167501328823804,
        5.1675227847353185,
        5.167544240646833,
        5.167565219760313,
        5.167586675671827,
        5.167608131583341,
        5.167629587494855,
        5.167650566608335,
        5.16767202251985,
        5.167693478431364,
        5.167714934342878,
        5.167735913456359,
        5.167757369367873,
        5.167778825279387,
        5.1677998043928675,
        5.167821260304382,
        5.167842716215896,
        5.16786417212741,
        5.16788515124089,
        5.167906607152404,
        5.167928063063918,
        5.1679490421773995,
        5.167970498088914,
        5.167991954000428,
        5.168012933113908,
        5.168034389025422,
        5.168055844936936,
        5.168076824050417,
        5.1680982799619315,
        5.168119735873446,
        5.168140714986926,
        5.16816217089844,
        5.16818315001192,
        5.168204605923434,
        5.1682260618349485,
        5.16824704094843,
        5.168268496859944,
        5.168289952771458,
        5.168310931884938,
        5.168332387796452,
        5.168353366909932,
        5.168374822821447,
        5.168396278732961,
        5.168417257846442,
        5.168438713757956,
        5.168459692871436,
        5.16848114878295,
        5.168502604694464,
        5.168523583807945,
        5.16854503971946,
        5.16856601883294,
        5.168587474744454,
        5.168608930655968,
        5.168629909769448,
        5.1686513656809625,
        5.168672344794444,
        5.168693800705958,
        5.168714779819438,
        5.168736235730952,
        5.168757214844432,
        5.168778670755946,
        5.168800126667461,
        5.168821105780942,
        5.168842561692456,
        5.168863540805936,
        5.16888499671745,
        5.16890597583093,
        5.1689274317424445,
        5.168948410855926,
        5.16896986676744,
        5.16899084588092,
        5.169012301792434,
        5.169033280905914,
        5.169054736817428,
        5.1690757159309095,
        5.169097171842424,
        5.169118150955904,
        5.169139606867418,
        5.169160585980899,
        5.169182041892413,
        5.1692030210058935,
        5.169224000119374,
        5.169245456030888,
        5.169266435144369,
        5.169287891055883,
        5.169308870169363,
        5.169330326080877,
        5.169351305194358,
        5.169372761105872,
        5.169393740219353,
        5.169415196130867,
        5.169436175244347,
        5.169457154357827,
        5.1694786102693415,
        5.169499589382823,
        5.169521045294337,
        5.169542024407817,
        5.169563003521297,
        5.169584459432811,
        5.169605438546292,
        5.1696268944578065,
        5.169647873571287,
        5.169668852684768,
        5.169690308596282,
        5.169711287709762,
        5.169732743621276,
        5.1697537227347565,
        5.169774701848238,
        5.169796157759752,
        5.169817136873232,
        5.169838115986712,
        5.169859571898226,
        5.169880551011707,
        5.169901530125188,
        5.169922986036702,
        5.169943965150182,
        5.169965421061696,
        5.169986400175177,
        5.170007379288657,
        5.1700288352001715,
        5.170049814313652,
        5.170070793427133,
        5.170091772540613,
        5.170113228452127,
        5.170134207565607,
        5.1701551866790885,
        5.170176642590603,
        5.170197621704083,
        5.170218600817564,
        5.170240056729078,
        5.170261035842558,
        5.1702820149560385,
        5.1703029940695195,
        5.170324449981034,
        5.170345429094514,
        5.170366408207994,
        5.170387864119508,
        5.170408843232989,
        5.1704298223464695,
        5.17045080145995,
        5.170472257371464,
        5.170493236484945,
        5.170514215598425,
        5.170535194711905,
        5.1705566506234195,
        5.170577629736901,
        5.170598608850381,
        5.170619587963861,
        5.170641043875375,
        5.170662022988856,
        5.1706830021023364,
        5.170724960329298,
        5.170746416240812,
        5.170767395354292,
        5.170788374467773,
        5.170809353581253,
        5.170830332694734,
        5.170851788606248,
        5.170872767719729,
        5.170893746833209,
        5.170914725946689,
        5.17093570506017,
        5.1709566841736505,
        5.170978140085165,
        5.170999119198645,
        5.171020098312126,
        5.171041077425606,
        5.171062056539086,
        5.171146449791042,
        5.171230366244965,
        5.171251345358445,
        5.171272801269959,
        5.17129378038344,
        5.17131475949692,
        5.1713357386104,
        5.1713567177238815,
        5.171377696837362,
        5.171398675950842,
        5.171461613291283,
        5.17156698565672,
        5.1715879647702,
        5.1716089438836805,
        5.171671881224122,
        5.171692860337603,
        5.171713839451083,
        5.1717348185645635,
        5.171755797678045,
        5.171776776791525,
        5.171797755905005,
        5.171818735018486,
        5.172091463493732,
        5.172740862415561,
        5.172908218525372,
        5.17299165818126,
        5.1730126372947405,
        5.173075097837148,
        5.1731380351775895,
        5.173158537493037,
        5.1732629562624055,
        5.173367375031774,
        5.1733883541452546,
        5.173409333258736,
        5.173450814687663,
        5.173555233457032,
        5.173576212570512,
        5.173826054740144,
        5.173888515282552,
        5.1739924572538865,
        5.174075896909775,
        5.174096876023256,
        5.1741173783387024,
        5.1741383574521835,
        5.17415885976763,
        5.174200817994591,
        5.174242299423518,
        5.174262801738966,
        5.174304759965926,
        5.174325262281373,
        5.174346241394853,
        5.174408701937262,
        5.174429204252708,
        5.174450183366189,
        5.1744916647951165,
        5.174512167110563,
        5.174554125337524,
        5.174574627652971,
        5.174595606766451,
        5.1746161090818985,
        5.174657590510826,
        5.174678569624306,
        5.174699071939753,
        5.174720051053233,
        5.1747405533686806,
        5.174761532482161,
        5.174782034797608,
        5.174803013911088,
        5.174823516226535,
        5.1748444953400154,
        5.174864997655463,
        5.174885976768943,
        5.17490647908439,
        5.17492745819787,
        5.174947960513317,
        5.1749689396267975,
        5.174989441942245,
        5.175010421055725,
        5.175030923371172,
        5.175051902484652,
        5.175072404800099,
        5.175300314260183,
        5.175362298004558,
        5.175383277118038,
        5.175403779433485,
        5.175424758546965,
        5.175465763177859,
        5.17548674229134,
        5.175507244606786,
        5.175528223720267,
        5.175548726035713,
        5.1755692283511605,
        5.175590207464641,
        5.175610709780088,
        5.175631212095535,
        5.175652191209015,
        5.175672693524462,
        5.1756936726379426,
        5.17571417495339,
        5.175734677268837,
        5.175755656382317,
        5.175776158697764,
        5.1757966610132105,
        5.1758176401266915,
        5.175838142442138,
        5.175858644757585,
        5.175879623871065,
        5.175900126186512,
        5.175920628501959,
        5.17594160761544,
        5.175962109930887,
        5.175982612246333,
        5.17600311456178,
        5.17602409367526,
        5.1760445959907075,
        5.176065098306155,
        5.176086077419635,
        5.176106579735082,
        5.176127082050528,
        5.176147584365975,
        5.176168563479456,
        5.176189065794903,
        5.17620956811035,
        5.17623054722383,
        5.176251049539277,
        5.176271551854724,
        5.176292054170171,
        5.176313033283652,
        5.176333535599098,
        5.176354037914545,
        5.176374540229992,
        5.1763955193434725,
        5.17641602165892,
        5.176436523974366,
        5.176457026289813,
        5.17647752860526,
        5.17649850771874,
        5.176519010034188,
        5.176539512349634,
        5.176560014665081,
        5.176580516980528,
        5.176601496094008,
        5.1766219984094555,
        5.176642500724902,
        5.176663003040349,
        5.176683505355796,
        5.176704484469276,
        5.176724986784723,
        5.1767454891001705,
        5.176765991415617,
        5.176786493731064,
        5.176806996046511,
        5.176827975159991,
        5.176848477475438,
        5.176868979790885,
        5.176889482106332,
        5.176909984421779,
        5.176930486737225,
        5.176950989052672,
        5.176971968166153,
        5.1769924704816,
        5.177012972797047,
        5.177033475112493,
        5.17705397742794,
        5.177074479743387,
        5.177094982058834,
        5.177115484374281,
        5.177136463487761,
        5.177156965803208,
        5.177177468118655,
        5.177197970434102,
        5.177218472749549,
        5.177238975064996,
        5.177259477380442,
        5.177279979695889,
        5.177300482011336,
        5.177320984326784,
        5.17734148664223,
        5.177361988957677,
        5.177382968071157,
        5.177403470386604,
        5.1774239727020515,
        5.177444475017498,
        5.177464977332945,
        5.177485479648392,
        5.177505981963838,
        5.177526484279285,
        5.177546986594733,
        5.177567488910179,
        5.177587991225626,
        5.177608493541073,
        5.177628995856519,
        5.1776494981719665,
        5.177670000487414,
        5.17769050280286,
        5.177711005118307,
        5.177731507433754,
        5.1777520097492005,
        5.177772512064648,
        5.177793014380095,
        5.177813516695541,
        5.177834019010988,
        5.177854521326435,
        5.1778750236418825,
        5.177895525957329,
        5.177916028272776,
        5.177936530588223,
        5.177957032903669,
        5.177977535219116,
        5.177998037534564,
        5.17801853985001,
        5.178039042165457,
        5.178059544480904,
        5.17808004679635,
        5.178100072313764,
        5.178120574629211,
        5.178141076944658,
        5.178161579260104,
        5.178182081575551,
        5.178202583890998,
        5.178223086206445,
        5.178243588521892,
        5.178264090837339,
        5.178284593152785,
        5.178305095468232,
        5.178325120985646,
        5.178345623301093,
        5.178366125616539,
        5.178386627931986,
        5.178407130247433,
        5.17842763256288,
        5.178448134878327,
        5.178468637193774,
        5.178489139509221,
        5.178509165026634,
        5.17852966734208,
        5.178550169657528,
        5.178570671972975,
        5.178591174288421,
        5.178611676603868,
        5.178632178919315,
        5.1786522044367285,
        5.178672706752175,
        5.178693209067622,
        5.178713711383069,
        5.178734213698515,
        5.1787542392159285,
        5.178774741531376,
        5.178795243846823,
        5.178815746162269,
        5.178836248477716,
        5.178856750793163,
        5.1788767763105765,
        5.178897278626023,
        5.17891778094147,
        5.178938283256917,
        5.17895830877433,
        5.178978811089777,
        5.178999313405224,
        5.179019815720671,
        5.179040318036118,
        5.179060343553531,
        5.179080845868977,
        5.179101348184425,
        5.179121850499872,
        5.179141876017285,
        5.179162378332731,
        5.179182880648178,
        5.1792033829636255,
        5.179223408481039,
        5.179243910796485,
        5.179264413111932,
        5.179284915427379,
        5.179304940944792,
        5.179325443260239,
        5.179345945575686,
        5.179365971093099,
        5.179386473408546,
        5.1794069757239924,
        5.17942747803944,
        5.179447503556853,
        5.1794680058723,
        5.179488508187747,
        5.17950853370516,
        5.1795290360206065,
        5.179549538336054,
        5.179569563853467,
        5.179590066168914,
        5.17961056848436,
        5.1796305940017735,
        5.179651096317221,
        5.179671598632668,
        5.179691624150081,
        5.179712126465527,
        5.179732628780974,
        5.179752654298388,
        5.179773156613835,
        5.179793658929281,
        5.179813684446694,
        5.179834186762141,
        5.179854212279555,
        5.179874714595002,
        5.179895216910448,
        5.179915242427861,
        5.179935744743308,
        5.1799562470587555,
        5.179976272576169,
        5.179996774891615,
        5.180016800409029,
        5.180037302724475,
        5.180057805039922,
        5.180077830557336,
        5.180098332872783,
        5.180118358390196,
        5.180138860705642,
        5.180158886223055,
        5.180179388538503,
        5.18019989085395,
        5.180219916371363,
        5.180240418686809,
        5.180260444204222,
        5.1802809465196695,
        5.180300972037083,
        5.18032147435253,
        5.180341499869943,
        5.180362002185389,
        5.1803820277028025,
        5.18040253001825,
        5.180423032333697,
        5.18044305785111,
        5.180463560166556,
        5.1804835856839695,
        5.180504087999417,
        5.18052411351683,
        5.180544615832277,
        5.18056464134969,
        5.180585143665137,
        5.1806051691825505,
        5.180625671497997,
        5.18064569701541,
        5.180666199330857,
        5.18068622484827,
        5.1807062503656836,
        5.180726752681131,
        5.180746778198544,
        5.18076728051399,
        5.180787306031403,
        5.1808078083468505,
        5.180827833864264,
        5.180848336179711,
        5.180868361697124,
        5.18088886401257,
        5.1809088895299835,
        5.180928915047397,
        5.180949417362844,
        5.180969442880257,
        5.180989945195704,
        5.181009970713117,
        5.181030473028564,
        5.181050498545977,
        5.18107052406339,
        5.181091026378837,
        5.18111105189625,
        5.181131554211698,
        5.181151579729111,
        5.181171605246524,
        5.181192107561971,
        5.181212133079384,
        5.181232635394831,
        5.181252660912244,
        5.181272686429657,
        5.181293188745104,
        5.181313214262517,
        5.1813332397799305,
        5.181353742095378,
        5.181373767612791,
        5.181393793130204,
        5.18141429544565,
        5.1814343209630636,
        5.181454823278511,
        5.181474848795924,
        5.181494874313337,
        5.181515376628784,
        5.1815354021461975,
        5.181555427663611,
        5.181575453181024,
        5.18159595549647,
        5.181615981013883,
        5.1816360065312965,
        5.181656508846744,
        5.181676534364157,
        5.18169655988157,
        5.181717062197017,
        5.18173708771443,
        5.181757113231844,
        5.181777138749257,
        5.181797641064704,
        5.181817666582117,
        5.18183769209953,
        5.181858194414977,
        5.18187821993239,
        5.181898245449803,
        5.181918270967216,
        5.181938773282663,
        5.181958798800077,
        5.18197882431749,
        5.181998849834903,
        5.18201935215035,
        5.182039377667763,
        5.1820594031851765,
        5.18207942870259,
        5.182099931018036,
        5.182119956535449,
        5.182139982052862,
        5.182160007570276,
        5.182180033087689,
        5.182200535403136,
        5.182220560920549,
        5.182240586437962,
        5.182260611955376,
        5.182280637472789,
        5.182301139788236,
        5.182321165305649,
        5.182341190823062,
        5.1823612163404755,
        5.182381241857889,
        5.182401267375302,
        5.182421769690749,
        5.182441795208162,
        5.1824618207255755,
        5.182481846242989,
        5.182501871760402,
        5.182521897277815,
        5.182542399593261,
        5.1825624251106746,
        5.182582450628088,
        5.182602476145501,
        5.182622501662914,
        5.182642527180327,
        5.182662552697741,
        5.182683055013188,
        5.182703080530601,
        5.182723106048014,
        5.182743131565427,
        5.1827631570828405,
        5.182783182600254,
        5.182803208117667,
        5.18282323363508,
        5.182843259152493,
        5.1828632846699065,
        5.182883786985354,
        5.182903812502767,
        5.18292383802018,
        5.182943863537593,
        5.1829638890550065,
        5.18298391457242,
        5.183003940089833,
        5.183023965607246,
        5.183043991124659,
        5.1830640166420725,
        5.183084042159486,
        5.183104067676899,
        5.183124093194312,
        5.183144118711725,
        5.1831641442291385,
        5.183184169746552,
        5.183204195263965,
        5.183224220781378,
        5.183244246298791,
        5.1832642718162045,
        5.183284297333618,
        5.183304322851031,
        5.183324348368444,
        5.183344373885857,
        5.1833643994032705,
        5.183384424920684,
        5.183404450438097,
        5.18342447595551,
        5.183444501472923,
        5.1834645269903366,
        5.18348455250775,
        5.183504578025163,
        5.183524603542576,
        5.183544629059989,
        5.183564654577403,
        5.183584680094816,
        5.183604705612229,
        5.183624731129642,
        5.183644756647055,
        5.183664782164469,
        5.183684807681882,
        5.183704833199295,
        5.183724858716708,
        5.183744884234121,
        5.183764909751535,
        5.183784935268948,
        5.183804960786361,
        5.183824509505741,
        5.183844535023154,
        5.1838645605405675,
        5.183884586057981,
        5.183904611575394,
        5.183924637092807,
        5.18394466261022,
        5.183964688127634,
        5.183984713645047,
        5.18400473916246,
        5.184024287881839,
        5.184044313399252,
        5.184064338916666,
        5.184084364434079,
        5.184104389951492,
        5.184124415468905,
        5.184144440986318,
        5.184163989705699,
        5.184184015223112,
        5.184204040740525,
        5.184224066257938,
        5.184244091775351,
        5.184264117292765,
        5.184283666012144,
        5.184303691529557,
        5.18432371704697,
        5.1843437425643835,
        5.184363768081797,
        5.18438379359921,
        5.18440334231859,
        5.184423367836003,
        5.184443393353416,
        5.18446341887083,
        5.184483444388243,
        5.184502993107622,
        5.184523018625035,
        5.1845430441424485,
        5.184563069659862,
        5.184583095177275,
        5.184602643896654,
        5.184622669414067,
        5.1846426949314806,
        5.184662720448894,
        5.184682269168274,
        5.184702294685687,
        5.1847223202031,
        5.1847423457205135,
        5.184761894439893,
        5.184781919957306,
        5.184801945474719,
        5.184821970992132,
        5.184841519711512,
        5.184861545228925,
        5.184881570746338,
        5.184901119465718,
        5.184921144983131,
        5.184941170500545,
        5.184961196017958,
        5.184980744737337,
        5.18500077025475,
        5.1850207957721635,
        5.185040344491544,
        5.185060370008957,
        5.18508039552637,
        5.185099944245749,
        5.1851199697631625,
        5.185139995280576,
        5.185160020797989,
        5.185179569517368,
        5.185199595034781,
        5.1852196205521945,
        5.185239169271575,
        5.185259194788988,
        5.185278743508367,
        5.18529876902578,
        5.1853187945431936,
        5.185338343262573,
        5.185358368779986,
        5.185378394297399,
        5.185397943016779,
        5.185417968534193,
        5.185437994051606,
        5.185457542770985,
        5.185477568288398,
        5.185497117007778,
        5.185517142525192,
        5.185537168042605,
        5.185556716761984,
        5.185576742279397,
        5.1855962909987765,
        5.18561631651619,
        5.185636342033603,
        5.185655890752983,
        5.185675916270396,
        5.1856954649897755,
        5.185715490507189,
        5.185735039226568,
        5.185755064743981,
        5.185775090261394,
        5.1857946389807745,
        5.185814664498188,
        5.185834213217567,
        5.18585423873498,
        5.1858737874543595,
        5.185893812971773,
        5.185913361691153,
        5.185933387208566,
        5.185952935927945,
        5.1859729614453585,
        5.185992986962772,
        5.186012535682151,
        5.186032561199564,
        5.186052109918944,
        5.1860721354363575,
        5.186091684155737,
        5.18611170967315,
        5.18613125839253,
        5.186151283909943,
        5.1861708326293225,
        5.186190858146736,
        5.186210406866115,
        5.186229955585495,
        5.186249981102908,
        5.186269529822288,
        5.186289555339701,
        5.18630910405908,
        5.186329129576493,
        5.186348678295873,
        5.186368703813287,
        5.186388252532666,
        5.186408278050079,
        5.186427826769458,
        5.1864478522868716,
        5.186467401006252,
        5.186486949725631,
        5.186506975243044,
        5.186526523962423,
        5.186546549479837,
        5.186585646918596,
        5.186605672436009,
        5.186625221155389,
        5.186743943865768,
        5.1868226155413195,
        5.186842641058733,
        5.186881738497491,
        5.186901764014904,
        5.186921312734285,
        5.186940861453664,
        5.186960886971077,
        5.18702000992725,
        5.187039558646629,
        5.187059107366008,
        5.187079132883421,
        5.1870986816028015,
        5.187118230322181,
        5.187138255839594,
        5.187157804558974,
        5.187177353278353,
        5.187196901997733,
        5.187216927515146,
        5.187236476234526,
        5.187256024953905,
        5.1872760504713185,
        5.187295599190698,
        5.187315147910078,
        5.187334696629457,
        5.18735472214687,
        5.18737427086625,
        5.18739381958563,
        5.187413845103043,
        5.187433393822422,
        5.1874529425418014,
        5.187472491261182,
        5.187492516778595,
        5.187512065497974,
        5.187531614217353,
        5.187570711656113,
        5.187590737173526,
        5.187610285892905,
        5.187629834612285,
        5.187649383331665,
        5.187669408849078,
        5.187688957568458,
        5.187708506287837,
        5.1877280550072165,
        5.187747603726597,
        5.18776762924401,
        5.187787177963389,
        5.187806726682768,
        5.1878262754021485,
        5.187845824121528,
        5.187865849638941,
        5.18788539835832,
        5.1879049470777,
        5.18792449579708,
        5.187944044516459,
        5.187963593235839,
        5.187983618753252,
        5.1880031674726315,
        5.188022716192011,
        5.188042264911391,
        5.18806181363077,
        5.188081362350149,
        5.1881009110695295,
        5.188120936586943,
        5.188140485306322,
        5.188160034025701,
        5.188179582745081,
        5.188199131464461,
        5.18821868018384,
        5.18823822890322,
        5.188257777622599,
        5.1882773263419795,
        5.188297351859393,
        5.188316900578772,
        5.188336449298151,
        5.188355998017531,
        5.188375546736911,
        5.18839509545629,
        5.18841464417567,
        5.188434192895049,
        5.1884537416144285,
        5.188473290333809,
        5.188492839053188,
        5.188512387772567,
        5.188531936491947,
        5.188551485211327,
        5.188571033930706,
        5.188591059448119,
        5.188610608167499,
        5.1886301568868785,
        5.188649705606258,
        5.188669254325638,
        5.188688803045017,
        5.188708351764396,
        5.1887279004837765,
        5.188747449203156,
        5.188766997922535,
        5.188786546641915,
        5.1888060953612944,
        5.188825644080675,
        5.188845192800054,
        5.188864741519433,
        5.188884290238813,
        5.1889038389581925,
        5.188923387677572,
        5.188942936396952,
        5.188962485116331,
        5.18898203383571,
        5.189001582555091,
        5.18902113127447,
        5.1910348877695816,
        5.1931919220738045,
        5.198027369332046,
        5.202680441342416,
        5.202863531787337,
        5.203205872775496,
        5.2033431906091865,
        5.20357110006927,
        5.2035939863748855,
        5.203685054799312,
        5.203753713716157,
        5.203776123223739,
        5.203890077953781,
        5.203912964259396,
        5.203935850565011,
        5.203958736870626,
        5.2041179874138646,
        5.20414087371948,
        5.204163283227061,
        5.204254351651488,
        5.204323010568333,
        5.20436830638153,
        5.204436488500341,
        5.204459374805956,
        5.204481784313538,
        5.204527556924768,
        5.204572852737964,
        5.204618148551161,
        5.204641034856777,
        5.204686330669973,
        5.204709216975588,
        5.204754512788784,
        5.2048455812132115,
        5.204868467518827,
        5.204890877026408,
        5.204959059145219,
        5.204981945450834,
        5.205004354958416,
        5.205027241264031,
        5.205049650771612,
        5.2050725370772275,
        5.205095423382843,
        5.205186015009236,
        5.205208901314851,
        5.205231310822432,
        5.205367675060056,
        5.205390084567637,
        5.205412970873252,
        5.205525972007226,
        5.20561656363362,
        5.205639449939235,
        5.205661859446816,
        5.205684745752431,
        5.2057753373788245,
        5.2057977468864065,
        5.205820633192022,
        5.205843042699603,
        5.205888338512799,
        5.205911224818414,
        5.205933634325996,
        5.206001816444807,
        5.206024225952389,
        5.206046635459971,
        5.206069521765586,
        5.206137227086363,
        5.206160113391978,
        5.206227818712756,
        5.206250228220338,
        5.206273114525953,
        5.206295524033535,
        5.20631841033915,
        5.206386115659928,
        5.206408525167509,
        5.206453820980705,
        5.2064762304882874,
        5.2064991167939025,
        5.206521526301484,
        5.206543935809065,
        5.20656682211468,
        5.206611641129843,
        5.206634527435458,
        5.206656936943039,
        5.2067022327562364,
        5.206724642263818,
        5.206747528569433,
        5.206769938077014,
        5.206792347584596,
        5.206815233890211,
        5.206837643397792,
        5.206860052905374,
        5.206882462412955,
        5.20690534871857,
        5.2069277582261515,
        5.2069501677337335,
        5.207017873054511,
        5.20710798788287,
        5.207130874188485,
        5.2071532836960674,
        5.207198579509264,
        5.207220989016845,
        5.207243398524427,
        5.207265808032008,
        5.207311103845204,
        5.207333513352786,
        5.207355922860367,
        5.2073788091659825,
        5.2074012186735645,
        5.207423628181146,
        5.207693972666224,
        5.207716382173805,
        5.207738791681387,
        5.207783610696549,
        5.207806020204131,
        5.207851316017328,
        5.207873725524909,
        5.207896135032491,
        5.207918544540072,
        5.208031068876013,
        5.208053478383595,
        5.208075887891176,
        5.208098297398758,
        5.208120706906339,
        5.208188412227117,
        5.208210821734698,
        5.208233231242279,
        5.208345278780187,
        5.208368165085802,
        5.208412984100965,
        5.208435393608546,
        5.2084578031161275,
        5.2084802126237095,
        5.208547441146454,
        5.208637079176779,
        5.20879394572985,
        5.208928402775339,
        5.209062859820827,
        5.209085269328408,
        5.2091076788359905,
        5.209130088343572,
        5.209331773911805,
        5.209354183419386,
        5.209376592926968,
        5.209399002434549,
        5.209420935144097,
        5.209443344651678,
        5.2095105731744225,
        5.209555392189586,
        5.209577801697167,
        5.209600211204749,
        5.209666962929459,
        5.20968937243704,
        5.209868171699658,
        5.2101361321945685,
        5.210270112442024,
        5.210381683181898,
        5.210426025399027,
        5.210448434906608,
        5.210604347863611,
        5.210871831560487,
        5.210893764270035,
        5.210938583285198,
        5.210991984664966,
        5.214169366761197,
        5.215377096180426,
        5.215661744606515,
        5.215793340863802,
        5.215946393032603,
        5.21603364707276,
        5.216055579782307,
        5.216143310620499,
        5.2162524973702045,
        5.2162744300797526,
        5.216295885991267,
        5.216317818700814,
        5.216339751410362,
        5.216383616829457,
        5.216405072740971,
        5.216448938160068,
        5.216536192200225,
        5.21658005761932,
        5.216688767570992,
        5.216797954320698,
        5.216819887030246,
        5.2169285969819175,
        5.217124560973747,
        5.217146493683294,
        5.217211815013904,
        5.217320524965576,
        5.217342457675124,
        5.217364390384671,
        5.2174292349172475,
        5.217473100336343,
        5.217559877578467,
        5.2175818102880145,
        5.217603266199529,
        5.217625198909077,
        5.217668587530139,
        5.217690520239686,
        5.217799230191359,
        5.217820686102873,
        5.21784261881242,
        5.217886007433482,
        5.217907463344996,
        5.217972784675606,
        5.21799424058712,
        5.218016173296668,
        5.218037629208182,
        5.21805956191773,
        5.21812488324834,
        5.218168271869402,
        5.218189727780916,
        5.218211660490463,
        5.2182331164019775,
        5.21827650502304,
        5.218319893644102,
        5.218341349555616,
        5.218363282265164,
        5.21842812679774,
        5.2185582926609255,
        5.21857974857244,
        5.218601681281988,
        5.218666525814564,
        5.218687981726078,
        5.2187099144356255,
        5.21873137034714,
        5.218753303056688,
        5.218774758968202,
        5.218796214879716,
        5.218818147589264,
        5.218839603500778,
        5.218904448033355,
        5.218926380742902,
        5.218969769363964,
        5.218991225275478,
        5.219012681186992,
        5.21903461389654,
        5.219077525719569,
        5.219099458429116,
        5.21912091434063,
        5.219142370252144,
        5.219229147494269,
        5.219250603405783,
        5.219272059317297,
        5.219293992026844,
        5.219315447938358,
        5.2193369038498725,
        5.219358359761387,
        5.219380292470935,
        5.219401748382449,
        5.219423204293963,
        5.219445137003511,
        5.219466592915025,
        5.219488048826539,
        5.2195099815360875,
        5.219531437447602,
        5.219552893359116,
        5.21957434927063,
        5.219596281980177,
        5.219617737891691,
        5.219639193803205,
        5.2196606497147195,
        5.219682582424268,
        5.219704038335782,
        5.219725494247296,
        5.219768882868358,
        5.219790338779872,
        5.2198117946913865,
        5.219876639223962,
        5.219898095135476,
        5.21991955104699,
        5.219984395579567,
        5.220070219225623,
        5.220113607846685,
        5.220177975581228,
        5.220199431492742,
        5.22022136420229,
        5.220242820113804,
        5.2202857319368325,
        5.220328643759861,
        5.220350099671375,
        5.220372032380922,
        5.220393488292436,
        5.2204149442039505,
        5.220436400115465,
        5.220457856026979,
        5.220479311938493,
        5.220500767850007,
        5.220522223761522,
        5.220544156471069,
        5.220565612382583,
        5.220587068294098,
        5.220608524205612,
        5.220629980117126,
        5.22065143602864,
        5.220694347851668,
        5.2207158037631824,
        5.220737259674697,
        5.220758715586211,
        5.220780171497725,
        5.220802104207273,
        5.220845016030301,
        5.220866471941815,
        5.22088792785333,
        5.220909383764844,
        5.220930839676358,
        5.220952295587872,
        5.220973751499386,
        5.2209952074109,
        5.221038119233929,
        5.221059575145443,
        5.221081031056957,
        5.221102486968471,
        5.221123942879985,
        5.221145398791499,
        5.2211668547030134,
        5.221188310614528,
        5.221209766526042,
        5.221231222437556,
        5.22125267834907,
        5.221274134260584,
        5.221295590172098,
        5.2213170460836125,
        5.221338501995127,
        5.221359957906641,
        5.221424325641183,
        5.221445781552697,
        5.2214672374642115,
        5.221488693375726,
        5.221509672489207,
        5.221531128400721,
        5.221552584312235,
        5.221574040223749,
        5.221595496135263,
        5.2216169520467774,
        5.221638407958292,
        5.221659863869806,
        5.22168131978132,
        5.221702775692834,
        5.221724231604348,
        5.221745687515862,
        5.2217666666293425,
        5.221788122540857,
        5.221809578452371,
        5.221831034363885,
        5.221852490275399,
        5.221873946186913,
        5.221895402098427,
        5.2219168580099415,
        5.221938313921456,
        5.221959293034937,
        5.221980748946451,
        5.222002204857965,
        5.222023660769479,
        5.222045116680993,
        5.2220665725925075,
        5.222087551705988,
        5.222109007617502,
        5.222130463529016,
        5.22215191944053,
        5.222173375352044,
        5.2222158103770395,
        5.222237266288554,
        5.222258722200068,
        5.222301634023096,
        5.22232308993461,
        5.2223440690480905,
        5.222365524959605,
        5.222386980871119,
        5.222408436782633,
        5.222429415896113,
        5.222557674567165,
        5.222600586390193,
        5.222813715111234,
        5.222835171022748,
        5.222856150136228,
        5.222899061959256,
        5.2229205178707705,
        5.222941496984252,
        5.22298440880728,
        5.22300538792076,
        5.223026843832274,
        5.223048299743788,
        5.223069278857269,
        5.223090734768783,
        5.223112190680297,
        5.223133169793778,
        5.223154625705292,
        5.223176081616806,
        5.2231970607302864,
        5.223218516641801,
        5.223239972553315,
        5.223260951666796,
        5.22328240757831,
        5.223303863489824,
        5.223324842603304,
        5.2233462985148185,
        5.223367277628299,
        5.223388733539813,
        5.223410189451327,
        5.223431168564808,
        5.223452624476322,
        5.223473603589802,
        5.2234950595013165,
        5.223516515412831,
        5.223537494526311,
        5.223558950437825,
        5.223579929551306,
        5.22360138546282,
        5.223622841374334,
        5.223643820487815,
        5.223665276399329,
        5.223686255512809,
        5.223707711424323,
        5.223728690537804,
        5.223750146449318,
        5.2237716023608325,
        5.223792581474313,
        5.223814037385827,
        5.223835016499308,
        5.223856472410822,
        5.223877451524302,
        5.223898907435816,
        5.223919886549297,
        5.223962321574292,
        5.223983777485806,
        5.2240262125108,
        5.2240471916242806,
        5.224238387635774,
        5.224259366749254,
        5.224301801774248,
        5.224323257685763,
        5.224492520987708,
        5.224619826062692,
        5.224640805176173,
        5.224662261087687,
        5.224683240201167,
        5.224704219314647,
        5.2247256752261615,
        5.224746654339643,
        5.224768110251157,
        5.224789089364637,
        5.224810068478117,
        5.224831524389631,
        5.224852503503112,
        5.224873482616593,
        5.224894938528107,
        5.224915917641588,
        5.224937373553102,
        5.224958352666582,
        5.224979331780062,
        5.2250007876915765,
        5.225021766805058,
        5.225042745918538,
        5.225064201830052,
        5.225085180943532,
        5.225106160057013,
        5.225127615968527,
        5.225148595082008,
        5.225169574195488,
        5.225190553308969,
        5.225212009220483,
        5.225232988333963,
        5.225253967447443,
        5.225275423358958,
        5.225296402472439,
        5.225317381585919,
        5.225338837497433,
        5.225359816610913,
        5.225380795724394,
        5.2254017748378745,
        5.225423230749389,
        5.22544420986287,
        5.22546518897635,
        5.22548616808983,
        5.225507624001344,
        5.225528603114825,
        5.225549582228306,
        5.225570561341786,
        5.2255920172533,
        5.225612996366781,
        5.225633975480261,
        5.225654954593741,
        5.2256764105052556,
        5.225697389618737,
        5.225718368732217,
        5.225739347845697,
        5.225760803757211,
        5.225781782870692,
        5.2258027619841725,
        5.225823741097653,
        5.225844720211134,
        5.225866176122648,
        5.225887155236128,
        5.225908134349608,
        5.225929113463089,
        5.22595009257657,
        5.22597107169005,
        5.225992527601565,
        5.226013506715045,
        5.226034485828525,
        5.226055464942006,
        5.2260764440554865,
        5.226097423168967,
        5.226118879080481,
        5.226139858193962,
        5.226160837307442,
        5.226181816420922,
        5.2262027955344035,
        5.226223774647884,
        5.226244753761364,
        5.226266209672878,
        5.226287188786359,
        5.226308167899839,
        5.2263291470133195,
        5.226350126126801,
        5.226371105240281,
        5.226392084353761,
        5.226413063467242,
        5.226434042580722,
        5.2264550216942025,
        5.226476477605717,
        5.226497456719198,
        5.226518435832678,
        5.226539414946159,
        5.226560394059639,
        5.2266023522866005,
        5.226623331400081,
        5.226644310513561,
        5.226665289627042,
        5.226686268740522,
        5.226707247854002,
        5.2267282269674835,
        5.226749206080964,
        5.226770185194444,
        5.226791164307925,
        5.226812143421405,
        5.226833599332919,
        5.2268545784464,
        5.226875557559881,
        5.226896536673361,
        5.226917515786841,
        5.226938494900322,
        5.226959474013802,
        5.2269804531272825,
        5.227001432240764,
        5.227022411354244,
        5.227043390467724,
        5.227064369581205,
        5.227085348694685,
        5.227106327808166,
        5.227126830123613,
        5.227147809237094,
        5.227168788350574,
        5.227189767464054,
        5.227210746577535,
        5.2272317256910155,
        5.227252704804496,
        5.227273683917977,
        5.227294663031457,
        5.227315642144937,
        5.227336621258418,
        5.2273576003718984,
        5.227378579485379,
        5.22739955859886,
        5.22742053771234,
        5.22744151682582,
        5.227462495939301,
        5.227483475052781,
        5.227503977368229,
        5.227524956481709,
        5.227545935595189,
        5.22756691470867,
        5.22758789382215,
        5.2276088729356305,
        5.227629852049112,
        5.227650831162592,
        5.227671810276073,
        5.227692312591519,
        5.227713291705,
        5.22773427081848,
        5.227755249931961,
        5.227776229045442,
        5.227797208158922,
        5.227818187272402,
        5.227838689587849,
        5.2278596687013295,
        5.2278806478148105,
        5.227901626928291,
        5.227922606041771,
        5.227943585155252,
        5.227964087470698,
        5.227985066584179,
        5.22800604569766,
        5.228298322892286,
        5.228423720775135,
        5.228486181317543,
        5.228507160431024,
        5.228527662746471,
        5.228548641859951,
        5.228569620973431,
        5.228590600086912,
        5.22865306062932,
        5.228673562944767,
        5.228694542058247,
        5.228715521171728,
        5.228736500285208,
        5.228757002600656,
        5.228777981714136,
        5.228798960827616,
        5.228819463143063,
        5.228840442256543,
        5.228861421370024,
        5.228881923685471,
        5.228902902798952,
        5.228923881912432,
        5.228944384227879,
        5.228965363341359,
        5.2289863424548395,
        5.229006844770287,
        5.229027823883767,
        5.229069305312694,
        5.229090284426175,
        5.2291107867416216,
        5.229131765855103,
        5.229152744968583,
        5.22917324728403,
        5.22919422639751,
        5.229214728712957,
        5.2292357078264375,
        5.229256686939918,
        5.229298168368846,
        5.229318670684292,
        5.229339649797773,
        5.2293606289112535,
        5.229381131226701,
        5.229402110340181,
        5.229422612655628,
        5.229443591769108,
        5.229464094084555,
        5.229485073198036,
        5.229506052311516,
        5.229526554626963,
        5.229547533740443,
        5.2295890151693705,
        5.229609517484818,
        5.229630496598298,
        5.229650998913745,
        5.229671978027225,
        5.229692480342672,
        5.2297134594561525,
        5.2297339617716,
        5.22975494088508,
        5.229775443200527,
        5.229796422314007,
        5.229816924629454,
        5.2298379037429354,
        5.229879385171863,
        5.229899887487309,
        5.22992086660079,
        5.229941368916236,
        5.2299623480297175,
        5.229982850345164,
        5.230003829458645,
        5.230045310887572,
        5.230065813203018,
        5.230107294631946,
        5.230128273745427,
        5.230148776060873,
        5.2301902574898005,
        5.230210759805248,
        5.230231738918728,
        5.230252241234175,
        5.230273220347655,
        5.2303142249785495,
        5.23033520409203,
        5.230376685520957,
        5.230397187836404,
        5.230417690151851,
        5.2304386692653315,
        5.230480150694259,
        5.230500653009706,
        5.230542134438633,
        5.23056263675408,
        5.230583139069527,
        5.230604118183007,
        5.230624620498454,
        5.230645122813901,
        5.2306661019273815,
        5.230707106558275,
        5.230728085671756,
        5.230748587987202,
        5.230769090302649,
        5.23079006941613,
        5.230810571731577,
        5.230831074047024,
        5.230852053160504,
        5.230872555475951,
        5.2308930577913975,
        5.2309140369048786,
        5.230934539220326,
        5.230955041535772,
        5.230976020649253,
        5.2310170252801464,
        5.231037527595594,
        5.231058506709074,
        5.231079009024521,
        5.231099511339967,
        5.231120490453448,
        5.2311409927688945,
        5.231161495084342,
        5.231181997399789,
        5.231202976513269,
        5.231223478828716,
        5.2312439811441624,
        5.23126448345961,
        5.23128546257309,
        5.231305964888537,
        5.231326467203984,
        5.2313674718348775,
        5.231388450948358,
        5.231408953263805,
        5.231429455579252,
        5.231449957894699,
        5.231470937008179,
        5.2314914393236265,
        5.231614930014341,
        5.231635432329788,
        5.231655934645235,
        5.231738420705056,
        5.231820429966843,
        5.231861911395771,
        5.231882413711217,
        5.231902916026664,
        5.231923418342111,
        5.2319439206575575,
        5.231964422973005,
        5.231984925288452,
        5.232046909032826,
        5.23208791366372,
        5.232108415979167,
        5.23214942061006,
        5.232169922925507,
        5.232231906669881,
        5.232252408985328,
        5.232272911300775,
        5.23243692982435,
        5.232457432139797,
        5.232559943717031,
        5.232600948347925,
        5.232641952978819,
        5.232723962240606,
        5.232744464556053,
        5.2327649668715,
        5.232805971502393,
        5.232867478448734,
        5.232908483079628,
        5.232928985395074,
        5.232949487710521,
        5.233051522489722,
        5.2330720248051685,
        5.23323556653071,
        5.233338078107945,
        5.233419610571699,
        5.233460615202592,
        5.233889256634842,
        5.233909758950288,
        5.233929784467701,
        5.233950286783148,
        5.234028481660666,
        5.236887362670419,
        5.2369078649858665,
        5.23692789050328,
        5.23702849488838,
        5.237068545923206,
        5.237088571440619,
        5.237109073756066,
        5.237169150308306,
        5.237229703658579,
        5.237390384595918,
        5.237490512182984,
        5.237510537700397,
        5.237571091050671,
        5.237611142085497,
        5.237771346224803,
        5.237791371742216,
        5.237831422777043,
        5.237851448294456,
        5.237871473811869,
        5.237891499329282,
        5.238032154749209,
        5.238112256818861,
        5.238132282336275,
        5.238231933125307,
        5.2383120351949595,
        5.238332060712373,
        5.238352086229786,
        5.238392137264612,
        5.238432188299439,
        5.238492264851678,
        5.238511813571058,
        5.2387115919471565,
        5.238851293771016,
        5.238871319288429,
        5.239369573233591,
        5.239389598751004,
        5.239409624268418,
        5.239429172987797,
        5.239568874811655,
        5.239668048802654
    ],
    "flux": [
        1.33194,
        1.44335,
        2.14848,
        1.49835,
        1.00862,
        1.20039,
        0.62099,
        0.700908,
        1.27953,
        0.989998,
        1.07184,
        0.583911,
        0.677682,
        0.628461,
        1.10572,
        0.756264,
        0.968948,
        0.446098,
        0.719793,
        1.12161,
        0.627489,
        0.602423,
        0.741572,
        0.918229,
        1.15016,
        1.05663,
        1.09587,
        1.87957,
        0.795024,
        1.0503,
        1.33226,
        2.35125,
        1.77305,
        0.852042,
        1.11882,
        0.844729,
        0.886677,
        1.66218,
        0.96685,
        1.42556,
        1.38743,
        0.901954,
        2.87303,
        1.49381,
        7.21435,
        10.5088,
        9.17745,
        7.38818,
        7.96242,
        1.44235,
        0.691322,
        0.969294,
        1.45117,
        0.943595,
        1.12731,
        0.795963,
        0.864639,
        0.554065,
        0.642884,
        1.56492,
        1.08309,
        1.27119,
        1.59048,
        1.25618,
        1.12463,
        1.20897,
        1.52882,
        1.26221,
        0.78358,
        0.778814,
        0.550622,
        0.98536,
        1.27419,
        0.848346,
        0.943545,
        1.15425,
        1.59317,
        0.875727,
        0.920232,
        1.32264,
        1.48576,
        1.27917,
        1.27302,
        1.46188,
        1.76022,
        0.932482,
        1.25662,
        2.74939,
        2.04883,
        2.10082,
        24.9849,
        6.59759,
        6.86078,
        4.79335,
        4.7198,
        2.02453,
        1.34446,
        1.20481,
        0.920009,
        0.952295,
        1.88295,
        1.89862,
        1.64263,
        0.610298,
        1.16183,
        2.04493,
        2.04656,
        2.01058,
        2.25107,
        0.793195,
        1.2376,
        1.20992,
        1.44384,
        1.61956,
        1.71353,
        1.39449,
        1.1527,
        1.07094,
        0.586824,
        0.590736,
        1.20181,
        1.175,
        0.685834,
        0.604047,
        0.934072,
        1.2568,
        0.958585,
        0.688919,
        1.02908,
        0.949796,
        0.801916,
        1.33423,
        1.09749,
        0.830327,
        0.976741,
        0.991884,
        1.20184,
        1.33101,
        1.41821,
        0.827559,
        0.776515,
        0.79443,
        0.991566,
        0.890635,
        1.03076,
        1.4548,
        4.72481,
        1.96612,
        2.60703,
        2.77318,
        1.03501,
        1.46607,
        1.11295,
        0.950244,
        0.949084,
        1.01006,
        0.394841,
        0.702727,
        0.476979,
        1.08043,
        1.00459,
        0.832289,
        1.04291,
        1.09666,
        1.28302,
        1.24564,
        0.834541,
        0.890054,
        1.13674,
        0.701406,
        1.22179,
        1.04669,
        0.915347,
        1.05349,
        0.647876,
        1.13442,
        1.12748,
        0.489992,
        0.975882,
        1.11035,
        1.03642,
        0.966187,
        1.15198,
        1.47436,
        1.19277,
        1.68958,
        0.775053,
        1.15951,
        0.573921,
        1.0044,
        1.13773,
        1.20852,
        0.613677,
        0.945145,
        0.900116,
        0.959208,
        0.908938,
        0.920175,
        0.636587,
        1.28494,
        0.92379,
        1.49344,
        1.67779,
        3.32754,
        5.3682,
        7.16112,
        10.2517,
        50.3277,
        1.81849,
        1.42495,
        0.71246,
        1.17019,
        0.533682,
        1.0985,
        0.868801,
        0.512672,
        0.731967,
        1.10743,
        0.862024,
        0.722157,
        0.777901,
        1.40896,
        0.734867,
        0.811872,
        0.916847,
        0.622516,
        0.862148,
        0.83578,
        0.740444,
        0.657916,
        1.01456,
        1.11966,
        0.636441,
        0.75419,
        0.911535,
        1.13131,
        1.13812,
        0.687683,
        0.663266,
        0.876428,
        0.744473,
        0.920744,
        0.826099,
        1.03456,
        0.695504,
        0.694817,
        0.893693,
        1.09119,
        0.795172,
        0.776793,
        0.931382,
        0.910318,
        0.986098,
        1.29607,
        0.569255,
        0.742779,
        1.12056,
        1.43802,
        1.47616,
        1.27369,
        1.18101,
        0.5243,
        1.57373,
        1.01801,
        0.926102,
        1.48808,
        1.16091,
        1.87101,
        2.93396,
        4.9093,
        2.33487,
        1.79997,
        1.7671,
        2.26279,
        1.19188,
        1.04975,
        1.4124,
        0.757919,
        0.474996,
        0.620358,
        0.605433,
        0.649182,
        0.94145,
        1.04614,
        0.81173,
        0.858386,
        0.768356,
        0.885613,
        0.812545,
        0.980409,
        0.88047,
        0.80067,
        0.529501,
        0.835034,
        1.07048,
        1.03064,
        0.809106,
        0.756826,
        0.568449,
        0.657996,
        0.783953,
        1.21281,
        0.783313,
        0.599827,
        1.0916,
        0.953579,
        0.87634,
        1.20792,
        0.962833,
        1.12332,
        0.956503,
        1.04926,
        1.37264,
        1.35121,
        1.28671,
        1.16263,
        1.40892,
        1.17122,
        0.976204,
        0.591757,
        1.30922,
        1.10937,
        0.902106,
        0.662341,
        1.24506,
        1.27032,
        1.10132,
        1.64232,
        1.12947,
        1.88627,
        4.64387,
        3.20701,
        2.48186,
        1.91657,
        1.05267,
        0.774995,
        1.43385,
        0.900689,
        0.91894,
        0.845786,
        0.601728,
        1.31967,
        1.23288,
        0.832182,
        1.1083,
        1.0446,
        1.03788,
        1.23578,
        0.755476,
        0.573272,
        0.622428,
        1.09074,
        0.920846,
        1.09177,
        0.888795,
        0.929643,
        0.630295,
        0.778889,
        0.868115,
        0.801336,
        1.06493,
        1.08086,
        0.784077,
        0.752313,
        0.970956,
        1.12953,
        1.09069,
        0.908973,
        0.742563,
        0.797486,
        1.03859,
        0.91785,
        0.561362,
        0.633415,
        1.10778,
        0.833477,
        1.45298,
        1.15937,
        1.2006,
        0.868847,
        1.39005,
        1.01711,
        0.981575,
        1.01145,
        0.730937,
        1.16145,
        1.15112,
        0.684815,
        0.557312,
        0.72379,
        1.53998,
        0.823299,
        1.90544,
        1.27348,
        2.04369,
        3.93748,
        0.90177,
        0.901126,
        0.890746,
        0.918113,
        0.842819,
        1.15911,
        1.40071,
        1.54056,
        1.03945,
        0.947813,
        0.557243,
        0.556896,
        0.39396,
        0.833529,
        1.05296,
        1.0755,
        1.06464,
        0.682526,
        0.76718,
        0.903038,
        0.884632,
        0.963065,
        0.883979,
        0.943252,
        0.92568,
        1.30911,
        1.12501,
        1.02797,
        1.23257,
        1.15702,
        1.14929,
        0.899996,
        0.737072,
        0.824237,
        0.836499,
        0.911009,
        1.11845,
        1.11485,
        0.88849,
        0.907368,
        1.3049,
        1.03627,
        1.06294,
        1.37367,
        1.30276,
        1.03209,
        1.41745,
        0.583055,
        1.20616,
        0.537359,
        0.970763,
        1.9682,
        0.693432,
        0.949249,
        1.75656,
        1.1781,
        0.552372,
        0.659512,
        1.01782,
        0.747426,
        1.0957,
        0.87667,
        1.62658,
        1.71056,
        3.59761,
        0.795939,
        1.14334,
        2.03778,
        0.952332,
        0.825565,
        1.37985,
        0.554018,
        0.755179,
        1.28487,
        0.535857,
        1.13396,
        0.848718,
        2.12133,
        1.13883,
        0.760264,
        0.619356,
        0.926855,
        0.982746,
        1.37984,
        1.46738,
        0.975108,
        0.919009,
        0.970155,
        1.23038,
        1.4294,
        1.67874,
        2.07669,
        1.71214,
        1.6416,
        0.725586,
        0.883102,
        1.03402,
        0.632455,
        0.704666,
        0.804084,
        1.07371,
        0.93841,
        0.960361,
        0.62933,
        0.337501,
        0.381079,
        0.71628,
        0.797359,
        0.999756,
        0.71548,
        0.483937,
        0.726218,
        1.23409,
        0.902633,
        0.576283,
        1.2027,
        1.0418,
        1.12013,
        0.979843,
        0.956686,
        0.734698,
        1.31003,
        1.66124,
        0.816579,
        2.05084,
        2.47163,
        3.49702,
        26.797,
        30.0336,
        20.1271,
        20.201,
        1.04583,
        1.13127,
        1.93421,
        1.16299,
        0.929886,
        1.09555,
        0.747527,
        0.510012,
        0.637049,
        0.686071,
        0.693368,
        0.431355,
        0.791662,
        0.914411,
        0.813904,
        0.922424,
        0.673739,
        0.942093,
        1.12956,
        1.31412,
        1.1769,
        2.29042,
        1.21273,
        1.44793,
        2.03273,
        1.78557,
        1.92905,
        1.77338,
        1.12964,
        1.11276,
        1.02487,
        1.07506,
        0.880315,
        0.963229,
        0.858689,
        0.723772,
        1.15873,
        1.19404,
        0.619455,
        0.866057,
        0.866296,
        0.844508,
        0.612757,
        1.61865,
        1.22355,
        0.562418,
        0.567238,
        0.974427,
        1.32844,
        0.878272,
        1.00168,
        0.896246,
        0.801682,
        1.18641,
        1.0257,
        0.960354,
        0.929405,
        1.05933,
        0.948428,
        1.2917,
        1.59915,
        1.02924,
        0.592748,
        1.10362,
        1.8129,
        0.912555,
        3.63114,
        6.51291,
        4.48141,
        1.48109,
        1.32458,
        1.9298,
        1.12593,
        0.69408,
        0.808343,
        0.949629,
        0.98277,
        0.938471,
        0.943143,
        1.31547,
        1.31573,
        1.39814,
        0.877235,
        0.662384,
        0.524297,
        0.692632,
        0.721373,
        0.92931,
        1.20742,
        0.587189,
        0.917809,
        0.766505,
        0.80219,
        0.844968,
        0.941144,
        0.906366,
        0.639788,
        1.28756,
        0.799879,
        0.937228,
        0.939688,
        0.489049,
        0.759874,
        0.730885,
        0.76703,
        0.846009,
        0.754225,
        0.510821,
        0.645549,
        0.844366,
        0.775624,
        1.03399,
        1.26174,
        0.922923,
        0.95934,
        0.868553,
        0.745449,
        0.838722,
        0.710578,
        0.679192,
        1.06952,
        1.00761,
        1.12276,
        0.94358,
        0.56595,
        0.746767,
        0.750605,
        0.730055,
        0.680905,
        0.478656,
        0.777382,
        1.42887,
        1.41333,
        2.59131,
        4.27607,
        1.27731,
        1.45206,
        1.8093,
        1.42728,
        1.80967,
        1.23722,
        0.765655,
        1.21048,
        0.711975,
        0.842059,
        0.738748,
        0.457589,
        0.837737,
        0.936103,
        0.948213,
        0.763814,
        0.903781,
        1.09405,
        1.20545,
        0.947342,
        0.71415,
        0.834956,
        1.05733,
        1.22001,
        0.84222,
        0.999174,
        0.698622,
        0.815587,
        0.955655,
        1.13757,
        0.997154,
        0.768068,
        1.18556,
        0.937791,
        1.1257,
        1.33974,
        1.31699,
        1.57214,
        1.92233,
        1.82243,
        1.00339,
        0.935417,
        1.11027,
        0.595074,
        0.661236,
        1.01034,
        1.24383,
        0.676632,
        0.759664,
        1.07903,
        1.20575,
        0.895004,
        0.986501,
        0.822646,
        0.937123,
        1.28207,
        1.0153,
        1.38457,
        1.04325,
        0.941122,
        0.997171,
        0.597645,
        0.40276,
        0.47127,
        0.895698,
        1.63234,
        4.36931,
        3.06973,
        2.29194,
        0.815487,
        1.18663,
        0.940473,
        0.988132,
        0.665305,
        1.02245,
        0.973958,
        0.738731,
        0.943506,
        0.9002,
        0.88933,
        0.806685,
        1.07292,
        1.30067,
        1.2811,
        0.775075,
        0.987435,
        1.463,
        0.990189,
        1.30945,
        1.27425,
        0.838072,
        0.935334,
        0.863931,
        0.971981,
        0.866712,
        0.928271,
        1.10183,
        1.32223,
        1.44057,
        0.82213,
        0.835501,
        0.986988,
        1.11045,
        1.01004,
        0.937522,
        1.01768,
        0.926752,
        1.03988,
        0.832616,
        0.870656,
        1.04006,
        0.972537,
        0.795895,
        0.668667,
        0.752732,
        0.820862,
        0.954826,
        1.05013,
        1.05957,
        0.849985,
        0.780929,
        0.6914,
        1.02827,
        1.09838,
        1.19657,
        0.853988,
        0.811926,
        1.0532,
        1.34531,
        0.94381,
        0.95118,
        0.767452,
        1.09281,
        1.44158,
        1.63553,
        1.4298,
        0.978352,
        0.840958,
        0.630928,
        0.675516,
        1.08563,
        1.07589,
        0.649855,
        0.759605,
        3.22551,
        4.42004,
        10.4915,
        1.27594,
        0.95587,
        1.64855,
        0.955325,
        0.568708,
        0.761344,
        0.781181,
        1.14159,
        1.3555,
        1.13785,
        0.764803,
        0.639416,
        0.482173,
        0.653372,
        1.00024,
        1.06708,
        0.619961,
        0.94646,
        0.7898,
        0.883152,
        0.936438,
        1.09837,
        0.870884,
        0.946275,
        0.941414,
        0.805878,
        0.759049,
        1.0274,
        1.03915,
        0.897986,
        0.67273,
        0.905982,
        1.10773,
        0.970647,
        0.779485,
        0.756872,
        1.15243,
        1.08544,
        0.61159,
        0.75771,
        0.878391,
        1.0605,
        0.964448,
        0.796233,
        0.839174,
        1.018,
        0.859844,
        0.841274,
        0.975529,
        0.992442,
        0.882341,
        1.0255,
        0.854972,
        0.931294,
        0.660274,
        0.776011,
        0.695173,
        1.05708,
        1.29745,
        1.01531,
        0.796297,
        1.01419,
        0.638829,
        0.825628,
        0.999923,
        0.567315,
        0.815223,
        0.815139,
        0.920931,
        1.19218,
        1.11987,
        1.62911,
        1.50612,
        1.0571,
        1.32143,
        1.60578,
        2.08662,
        1.01381,
        3.7201,
        29.6426,
        5.99118,
        1.37062,
        2.45973,
        1.77776,
        1.29097,
        0.956209,
        0.536384,
        1.01116,
        0.874777,
        0.725276,
        0.459191,
        0.796575,
        1.08129,
        1.11823,
        0.688915,
        0.595999,
        0.875149,
        1.03354,
        0.797102,
        0.541308,
        0.722254,
        1.20834,
        0.784552,
        0.859592,
        0.946776,
        1.25198,
        1.01593,
        0.577686,
        0.822917,
        1.14518,
        1.27533,
        1.1854,
        0.521053,
        0.406544,
        0.900754,
        0.815267,
        1.05292,
        1.10344,
        1.06008,
        1.36803,
        1.07252,
        0.84613,
        0.594925,
        0.883608,
        0.946391,
        0.87589,
        0.923258,
        0.967638,
        1.17789,
        0.754727,
        0.952944,
        1.21361,
        0.91784,
        1.03956,
        0.892979,
        0.960747,
        1.15446,
        0.990406,
        0.786701,
        0.950619,
        1.20781,
        0.862678,
        0.464571,
        0.989935,
        1.10286,
        0.994474,
        0.629863,
        0.614956,
        0.846445,
        0.67752,
        1.11505,
        1.08586,
        2.08964,
        2.83504,
        3.04026,
        4.87267,
        4.07258,
        3.78908,
        51.6094,
        0.676966,
        0.655985,
        1.0085,
        0.802294,
        0.733833,
        0.700348,
        0.579295,
        0.918967,
        1.09322,
        0.710327,
        0.874949,
        1.00302,
        1.14356,
        0.859698,
        1.02353,
        1.25866,
        0.917572,
        0.751488,
        0.987228,
        1.13125,
        0.902871,
        0.960702,
        1.12899,
        1.21373,
        0.996695,
        0.99701,
        1.07227,
        1.14314,
        1.27587,
        1.31386,
        1.11423,
        0.836551,
        1.05654,
        0.978447,
        1.08228,
        1.15699,
        1.02005,
        1.1045,
        0.898907,
        0.836583,
        1.08502,
        1.09506,
        1.13181,
        1.20106,
        1.07787,
        0.889116,
        0.762135,
        0.87457,
        1.06957,
        0.905992,
        0.926097,
        1.03036,
        1.02723,
        0.952573,
        1.18078,
        1.06615,
        0.58581,
        0.828424,
        1.55257,
        0.999095,
        1.16179,
        1.52595,
        1.03611,
        1.41162,
        1.39764,
        1.63278,
        1.33915,
        1.57956,
        0.984481,
        0.957237,
        1.19511,
        2.0116,
        1.6109,
        3.35509,
        2.35103,
        1.11279,
        0.830975,
        0.967175,
        1.45537,
        1.14527,
        1.02722,
        0.955678,
        1.24014,
        0.947205,
        0.709376,
        0.775241,
        1.08261,
        0.889616,
        0.918354,
        0.793407,
        0.822937,
        0.825049,
        0.94251,
        1.10249,
        1.06835,
        0.897342,
        0.745069,
        1.12179,
        1.29753,
        1.15578,
        0.965004,
        0.925603,
        1.3666,
        1.36501,
        1.07531,
        0.744294,
        0.769098,
        0.845192,
        0.99893,
        1.06703,
        0.872417,
        0.783691,
        1.01,
        1.14261,
        1.10977,
        0.989414,
        0.808863,
        0.789811,
        1.15545,
        1.65387,
        0.966318,
        1.06373,
        0.743184,
        0.53557,
        0.73207,
        0.740763,
        0.532544,
        1.16931,
        2.33654,
        2.68096,
        3.28359,
        2.50923,
        2.58055,
        1.01458,
        1.2373,
        1.4296,
        1.17754,
        1.18843,
        0.964721,
        1.12438,
        1.32084,
        1.14469,
        0.982713,
        0.85951,
        0.712599,
        0.862772,
        0.359461,
        0.667741,
        0.703375,
        0.74075,
        1.39749,
        1.00433,
        0.765939,
        1.20341,
        1.34224,
        1.47975,
        1.27504,
        1.51465,
        15.4189,
        1.4546,
        1.34513,
        1.01566,
        0.733841,
        0.605242,
        0.781024,
        0.832863,
        0.903946,
        0.989113,
        1.02987,
        0.870998,
        0.801105,
        1.07736,
        0.888395,
        0.635894,
        0.997635,
        1.34127,
        1.27112,
        1.15187,
        0.878502,
        0.960328,
        1.01644,
        1.18144,
        0.905773,
        1.12935,
        1.08414,
        0.748587,
        0.853806,
        1.06499,
        1.01821,
        0.685779,
        0.699269,
        1.06047,
        0.850535,
        0.987059,
        0.837999,
        0.833562,
        1.02002,
        1.61547,
        1.56162,
        3.11395,
        2.70761,
        2.10896,
        0.769019,
        0.753435,
        1.08575,
        0.816408,
        0.593542,
        1.0033,
        0.956482,
        0.723959,
        0.724866,
        0.830613,
        0.808222,
        0.661249,
        0.596745,
        0.761561,
        0.806832,
        0.836903,
        1.17378,
        1.07716,
        1.4462,
        0.948925,
        0.979887,
        0.954312,
        1.26955,
        1.1361,
        0.715139,
        0.572522,
        0.498784,
        1.05874,
        0.801844,
        0.697517,
        1.35795,
        1.6147,
        1.28164,
        1.85798,
        1.32508,
        0.959125,
        1.48488,
        20.1755,
        6.19129,
        1.40154,
        1.04112,
        0.824478,
        0.71157,
        1.53684,
        1.68246,
        1.1913,
        0.916748,
        0.959049,
        0.991881,
        0.694054,
        0.777066,
        0.755531,
        0.393141,
        0.418591,
        0.433795,
        0.567482,
        0.327412,
        0.387951,
        0.655674,
        1.26207,
        1.04372,
        0.690718,
        1.55037,
        1.51844,
        1.7501,
        2.87978,
        4.2398,
        2.89714,
        0.620304,
        0.539353,
        0.728323,
        0.763157,
        1.27285,
        1.10739,
        1.04915,
        1.21378,
        1.22707,
        0.933222,
        1.03796,
        1.24449,
        1.04731,
        1.02886,
        0.921336,
        1.0094,
        1.08218,
        1.09091,
        0.985967,
        1.19182,
        1.13444,
        1.22498,
        0.874787,
        0.696466,
        0.888539,
        0.64416,
        1.2311,
        1.09523,
        0.848494,
        1.08811,
        1.17437,
        1.12914,
        1.22758,
        1.37094,
        0.992991,
        0.964146,
        0.94143,
        0.786333,
        1.36275,
        1.09862,
        0.972659,
        1.19227,
        null,
        2.51538,
        3.10878,
        4.76745,
        7.27642,
        2.15887,
        1.57852,
        0.728082,
        0.9413,
        1.39649,
        1.67214,
        0.832054,
        1.12268,
        1.13765,
        1.13383,
        2.34117,
        2.38746,
        1.4617,
        0.856288,
        0.382225,
        1.1051,
        0.69418,
        1.14078,
        1.23414,
        1.06248,
        0.851741,
        0.959733,
        0.648258,
        0.761706,
        0.897656,
        0.768111,
        0.710072,
        0.828261,
        0.890169,
        1.14702,
        1.1326,
        0.718297,
        0.737724,
        0.717646,
        0.472229,
        0.961663,
        1.05039,
        0.89933,
        1.24034,
        1.06656,
        0.897106,
        0.922608,
        1.04079,
        1.07998,
        0.976854,
        1.01879,
        0.729863,
        0.783047,
        0.853721,
        0.886175,
        0.782131,
        1.02277,
        1.04582,
        1.07787,
        1.03886,
        0.920981,
        0.875671,
        0.983894,
        0.883933,
        0.939599,
        1.12503,
        0.491429,
        0.829876,
        0.937709,
        0.752343,
        0.972964,
        0.937125,
        1.17211,
        1.18512,
        0.804548,
        1.19196,
        1.15692,
        0.782516,
        0.984187,
        0.920982,
        0.734047,
        1.31238,
        1.17884,
        0.902626,
        1.69962,
        35.4456,
        13.4785,
        1.5875,
        0.833577,
        1.06479,
        1.17148,
        1.03573,
        0.73718,
        1.26578,
        1.02111,
        0.782077,
        1.05116,
        0.970651,
        0.982212,
        1.13668,
        1.17234,
        1.22002,
        0.871886,
        1.07175,
        1.13011,
        0.804072,
        1.09269,
        0.851501,
        0.735859,
        0.33071,
        0.188669,
        0.520057,
        0.603576,
        0.513052,
        0.4003,
        0.562974,
        0.702835,
        0.73004,
        0.643964,
        0.826004,
        0.960965,
        0.960602,
        0.940782,
        0.969774,
        0.752676,
        0.908994,
        0.758166,
        0.851154,
        0.814814,
        0.894289,
        0.973684,
        1.18387,
        0.904074,
        0.947791,
        0.754252,
        0.887445,
        0.800994,
        0.83395,
        1.02458,
        1.01796,
        0.907143,
        0.959951,
        0.92837,
        0.816048,
        0.81759,
        0.823195,
        1.07829,
        0.880072,
        0.973501,
        1.03892,
        0.849504,
        0.953814,
        0.866711,
        0.950669,
        0.981187,
        1.16994,
        0.954141,
        0.688376,
        0.679559,
        1.22492,
        1.62606,
        1.97945,
        1.72744,
        2.62893,
        1.3985,
        1.79938,
        1.24101,
        0.585017,
        1.23164,
        0.683197,
        0.414818,
        0.723242,
        1.03943,
        0.849287,
        0.726874,
        0.782003,
        0.852341,
        0.764861,
        0.618607,
        0.798928,
        0.643878,
        0.861274,
        0.543241,
        0.705535,
        0.771829,
        1.16329,
        0.95468,
        1.21188,
        0.97397,
        0.806876,
        0.978574,
        1.12566,
        0.996755,
        0.91561,
        1.03797,
        0.891558,
        1.07156,
        1.27811,
        1.01534,
        0.800464,
        0.865067,
        1.01262,
        0.844607,
        0.798834,
        0.798952,
        1.22238,
        0.881782,
        0.802271,
        0.980645,
        0.933854,
        0.870894,
        1.10658,
        0.938227,
        0.876953,
        0.903508,
        1.1206,
        0.857385,
        0.984891,
        0.84874,
        0.836197,
        0.848187,
        1.06396,
        0.716041,
        0.999155,
        0.965247,
        0.697437,
        0.720149,
        0.813954,
        0.798269,
        0.95644,
        0.789146,
        0.701625,
        1.03126,
        0.895596,
        0.888051,
        1.11192,
        1.03522,
        1.0382,
        0.638719,
        0.888096,
        1.18372,
        1.35347,
        1.35006,
        1.41737,
        1.18804,
        0.782814,
        1.20914,
        1.32257,
        1.2277,
        1.17054,
        1.01945,
        0.720343,
        1.21365,
        2.05389,
        4.8238,
        1.37304,
        1.04865,
        1.02837,
        0.816324,
        1.09699,
        1.13756,
        0.725327,
        0.341462,
        0.436547,
        0.880759,
        1.05918,
        0.879848,
        1.00212,
        0.80151,
        0.964629,
        1.13962,
        1.1519,
        0.842831,
        0.880924,
        0.61229,
        0.806674,
        1.07672,
        0.887291,
        0.934928,
        0.954394,
        0.908445,
        0.865685,
        0.829317,
        0.869264,
        0.852881,
        0.974924,
        0.958217,
        1.05131,
        0.912701,
        1.00225,
        0.925582,
        0.9313,
        1.07642,
        1.01817,
        0.761899,
        0.741027,
        0.819627,
        0.809452,
        0.698458,
        0.906026,
        0.78244,
        0.75609,
        0.814545,
        0.903596,
        1.00227,
        0.768095,
        0.740736,
        1.05416,
        1.03862,
        0.954859,
        1.11533,
        0.911179,
        0.947594,
        1.18735,
        1.12983,
        0.919584,
        1.00387,
        0.98852,
        0.907017,
        0.993478,
        1.00038,
        0.927402,
        0.851186,
        0.824892,
        0.904544,
        0.874112,
        0.992921,
        0.892954,
        0.827154,
        0.910171,
        0.822112,
        0.777104,
        0.986309,
        0.802325,
        0.735857,
        0.975143,
        0.786623,
        1.44731,
        1.28678,
        0.966233,
        1.68868,
        1.58542,
        3.1364,
        1.77093,
        1.91883,
        1.48673,
        1.44861,
        0.804667,
        0.5126,
        0.581704,
        0.852958,
        1.07554,
        0.944998,
        0.732746,
        0.516903,
        0.893225,
        0.900727,
        0.86401,
        0.929303,
        1.07467,
        1.22926,
        1.33551,
        0.926135,
        1.04525,
        1.00474,
        1.30592,
        1.08436,
        1.79304,
        1.39187,
        5.85363,
        1.16245,
        1.30313,
        0.889662,
        0.609422,
        0.923623,
        1.0958,
        1.05331,
        0.729392,
        1.01493,
        1.09262,
        1.1185,
        1.04727,
        0.953209,
        0.975407,
        1.04691,
        1.06141,
        1.19345,
        0.925005,
        0.854824,
        0.97696,
        0.830039,
        0.74819,
        0.808279,
        0.627799,
        0.639711,
        0.458463,
        0.40091,
        0.208716,
        0.339116,
        0.298818,
        0.290999,
        0.573695,
        0.614205,
        0.636675,
        0.576787,
        0.772991,
        0.878488,
        0.870002,
        0.98311,
        0.808466,
        0.742003,
        0.918035,
        0.983085,
        0.576675,
        1.01843,
        0.894433,
        0.956937,
        0.842328,
        0.857363,
        0.812532,
        1.60454,
        2.14581,
        1.51353,
        1.09997,
        0.878205,
        1.47444,
        0.962367,
        0.825311,
        0.871353,
        0.604798,
        0.74754,
        0.892407,
        0.641207,
        1.44258,
        3.76067,
        1.39978,
        2.1247,
        0.756437,
        0.67738,
        0.791974,
        0.467624,
        1.03294,
        1.44418,
        1.06392,
        0.844893,
        1.03567,
        1.06942,
        1.14179,
        0.827726,
        0.898454,
        0.807275,
        0.735837,
        0.774452,
        0.707339,
        0.643518,
        0.656595,
        0.767075,
        0.906343,
        0.957325,
        0.936011,
        0.953332,
        0.997093,
        0.939426,
        0.912486,
        0.990368,
        0.796096,
        0.857704,
        0.899006,
        0.865789,
        0.85912,
        0.80842,
        0.892348,
        1.02099,
        0.964279,
        0.719823,
        0.78935,
        1.04582,
        0.905615,
        0.986454,
        0.825693,
        0.831299,
        0.889042,
        0.962972,
        0.942743,
        0.943511,
        0.984663,
        0.847632,
        1.02571,
        0.96862,
        0.751313,
        0.857008,
        0.895474,
        0.818223,
        0.84549,
        1.10419,
        1.00437,
        0.823473,
        0.827502,
        0.868879,
        0.851926,
        0.96496,
        0.844385,
        0.915295,
        0.890357,
        0.89602,
        1.1201,
        1.05295,
        1.22769,
        1.55897,
        1.14648,
        1.24494,
        1.49103,
        2.21422,
        0.926098,
        0.874559,
        1.59081,
        0.456582,
        0.556484,
        1.50724,
        1.34997,
        0.896969,
        0.818887,
        0.769841,
        1.10066,
        0.993831,
        1.00775,
        1.106,
        1.05496,
        1.04902,
        1.0008,
        0.913783,
        0.983025,
        0.798437,
        0.877242,
        0.958025,
        0.820893,
        0.622953,
        0.55427,
        0.715454,
        1.13576,
        1.47604,
        1.54766,
        2.38224,
        1.8688,
        0.959745,
        0.705696,
        1.19538,
        1.26022,
        0.885747,
        1.08229,
        0.775339,
        0.49971,
        0.582582,
        0.921423,
        0.931582,
        0.891968,
        0.646202,
        0.695898,
        0.564008,
        0.65663,
        0.741105,
        0.925522,
        0.849428,
        1.04608,
        0.827793,
        0.789224,
        0.854934,
        1.0797,
        0.975895,
        1.00838,
        0.875634,
        0.744758,
        0.973844,
        0.855724,
        0.951378,
        0.96715,
        0.890303,
        0.717773,
        0.874549,
        0.914135,
        1.14731,
        1.09069,
        0.832427,
        0.810711,
        0.731486,
        0.933608,
        0.913461,
        0.815716,
        0.870472,
        0.794998,
        0.858693,
        0.978837,
        1.1607,
        1.02446,
        0.994536,
        0.900155,
        0.979166,
        0.999561,
        0.956209,
        1.08073,
        0.855887,
        0.815761,
        0.943502,
        0.861435,
        0.934856,
        1.21842,
        1.04002,
        0.937436,
        0.649709,
        0.906469,
        1.464,
        1.46122,
        1.09817,
        0.800426,
        0.868999,
        0.776466,
        0.641912,
        1.00257,
        0.938924,
        0.770019,
        0.810292,
        0.866483,
        0.977667,
        1.02342,
        1.15571,
        0.931241,
        0.800024,
        0.822799,
        0.810959,
        0.925164,
        0.953802,
        0.764753,
        0.845062,
        0.979977,
        0.862115,
        1.0212,
        1.03791,
        0.860027,
        0.908785,
        0.978378,
        0.818605,
        0.91606,
        1.20293,
        0.910874,
        0.68356,
        0.814087,
        0.491964,
        1.15261,
        0.652789,
        0.489582,
        0.987654,
        0.866224,
        1.42736,
        0.980316,
        0.823082,
        1.12498,
        1.02215,
        0.984378,
        0.769036,
        0.823899,
        1.32635,
        1.43337,
        1.35002,
        0.699454,
        1.48989,
        1.26925,
        0.82441,
        0.986422,
        0.913351,
        1.09149,
        0.763025,
        0.948241,
        0.994284,
        0.963091,
        0.924127,
        1.01053,
        0.830197,
        0.949982,
        0.956976,
        1.06749,
        0.708944,
        1.24266,
        1.28444,
        1.03072,
        1.1305,
        1.67385,
        1.17045,
        0.860577,
        1.52541,
        1.95424,
        1.84427,
        1.14513,
        1.23009,
        1.84261,
        1.51971,
        1.41048,
        0.693054,
        1.02746,
        1.54778,
        1.41619,
        1.51803,
        1.11484,
        1.04835,
        1.35845,
        1.10569,
        1.1576,
        0.757466,
        0.547743,
        0.656331,
        0.605954,
        0.41198,
        0.328373,
        0.394893,
        0.404279,
        0.391902,
        0.196025,
        0.300675,
        0.468399,
        0.6074,
        0.727301,
        0.726439,
        0.738707,
        0.866221,
        0.760936,
        0.823513,
        0.773032,
        0.765504,
        0.626861,
        0.755396,
        0.809678,
        0.754,
        0.866951,
        0.843742,
        0.764981,
        0.914387,
        0.958319,
        0.840736,
        0.942654,
        0.84081,
        0.907011,
        0.873597,
        0.743797,
        0.666185,
        0.842749,
        1.24203,
        1.19513,
        0.646339,
        1.45266,
        1.11689,
        2.59936,
        0.747386,
        1.43749,
        1.33212,
        1.53948,
        1.09872,
        0.946002,
        1.08717,
        1.13787,
        1.01563,
        0.95034,
        0.959502,
        0.856442,
        0.898465,
        0.917394,
        0.861466,
        0.661097,
        0.885019,
        1.00457,
        0.879454,
        0.689867,
        0.773396,
        0.828057,
        0.935462,
        0.800452,
        0.962202,
        0.979057,
        0.896499,
        0.941586,
        0.934769,
        0.868243,
        0.807266,
        0.858294,
        1.07523,
        0.940956,
        0.766141,
        0.67511,
        0.809695,
        1.08121,
        0.798706,
        0.912772,
        0.938858,
        0.93116,
        1.1527,
        1.13171,
        1.37415,
        1.27439,
        0.791307,
        1.5797,
        1.32925,
        1.64739,
        1.48015,
        1.07285,
        1.26673,
        0.523888,
        0.778445,
        1.0449,
        1.04864,
        0.990706,
        0.990079,
        0.884465,
        1.00359,
        1.19756,
        1.20651,
        0.981858,
        0.961691,
        0.924174,
        0.904228,
        0.762271,
        0.780115,
        0.805452,
        0.777733,
        0.854223,
        0.797929,
        0.883725,
        0.902245,
        0.75467,
        0.698833,
        0.932609,
        0.903582,
        0.624831,
        0.872386,
        0.89913,
        0.884564,
        0.762843,
        0.874188,
        1.11526,
        0.945353,
        1.01486,
        1.06177,
        0.953803,
        0.949497,
        0.797269,
        0.80095,
        0.827638,
        0.856736,
        0.846587,
        0.819449,
        0.659515,
        1.02465,
        0.957244,
        0.768691,
        0.879513,
        0.662815,
        0.656012,
        0.94943,
        0.928499,
        0.723642,
        0.679539,
        0.970577,
        0.555583,
        1.14007,
        5.21026,
        2.51655,
        1.70657,
        1.54393,
        1.39251,
        0.92315,
        0.401886,
        0.583359,
        0.591106,
        0.494599,
        0.863248,
        0.744225,
        0.577502,
        0.959143,
        0.954315,
        0.924261,
        0.855241,
        0.718076,
        0.792061,
        0.726725,
        0.882729,
        0.804988,
        0.924016,
        1.0723,
        0.885603,
        0.806443,
        0.980312,
        0.781904,
        0.862302,
        1.03835,
        0.928785,
        0.970585,
        0.993378,
        0.940901,
        1.01774,
        0.878414,
        0.890667,
        0.902446,
        0.92355,
        1.20779,
        1.1986,
        1.00009,
        1.00378,
        0.532156,
        0.841453,
        1.34968,
        1.05949,
        0.766054,
        1.09353,
        0.54924,
        1.04953,
        1.24988,
        0.990472,
        0.983125,
        0.801717,
        0.747962,
        0.846878,
        0.80031,
        0.927815,
        0.925292,
        0.92738,
        1.07963,
        1.12638,
        1.11871,
        0.845041,
        0.947596,
        0.86283,
        0.844584,
        0.857972,
        0.974995,
        1.01131,
        1.1321,
        1.05365,
        0.960741,
        0.982184,
        0.704611,
        0.905773,
        0.962885,
        0.751774,
        0.853062,
        0.959317,
        0.965876,
        0.750398,
        0.921965,
        0.831977,
        0.911223,
        1.02027,
        0.95643,
        1.05612,
        1.06439,
        0.979887,
        0.966971,
        0.938285,
        0.915601,
        0.88183,
        0.910682,
        0.846891,
        0.930255,
        0.970537,
        0.894378,
        1.05269,
        0.82001,
        0.81147,
        0.830869,
        0.957231,
        0.896248,
        0.95049,
        0.954685,
        0.861779,
        0.881149,
        1.03512,
        0.879636,
        0.862696,
        0.933796,
        1.03853,
        0.983528,
        1.21272,
        0.701506,
        0.410089,
        0.724951,
        1.0946,
        1.75266,
        1.7973,
        2.18075,
        4.59689,
        3.79074,
        2.33505,
        1.01339,
        0.866724,
        0.584637,
        0.811758,
        0.760619,
        1.08631,
        0.909998,
        0.878132,
        0.803686,
        0.85103,
        1.04294,
        0.915795,
        0.897483,
        0.710231,
        0.909777,
        0.998795,
        1.04483,
        0.97424,
        0.716861,
        0.827099,
        1.04076,
        0.954769,
        0.781052,
        0.879005,
        1.14598,
        0.85807,
        0.795534,
        1.15664,
        0.705374,
        0.409052,
        1.08919,
        0.984901,
        0.891114,
        0.798713,
        0.832954,
        1.27927,
        1.10026,
        0.836742,
        0.906964,
        0.704551,
        0.857523,
        0.772738,
        0.711651,
        1.17945,
        1.41452,
        1.0941,
        1.40416,
        0.915729,
        0.769354,
        0.85922,
        0.736069,
        1.1385,
        1.1365,
        0.811375,
        1.25444,
        1.51286,
        2.2118,
        1.42337,
        1.07533,
        1.17913,
        0.446884,
        0.711569,
        0.796484,
        0.935342,
        0.964403,
        1.01489,
        1.24704,
        0.8942,
        0.612867,
        0.972523,
        1.08221,
        1.07534,
        1.05677,
        1.10411,
        0.855135,
        0.799863,
        0.676018,
        0.651519,
        0.790764,
        0.762436,
        0.532012,
        0.377903,
        0.410827,
        0.395547,
        0.378167,
        0.26583,
        0.136765,
        0.179544,
        0.212893,
        0.352316,
        0.547085,
        0.564976,
        0.662665,
        0.618975,
        0.840216,
        0.795893,
        0.957478,
        0.885484,
        0.944195,
        0.964348,
        0.817091,
        0.85509,
        0.855653,
        0.980009,
        0.885247,
        1.02613,
        0.970768,
        1.16257,
        1.21478,
        0.958393,
        0.538649,
        0.626435,
        0.775625,
        1.99222,
        4.2793,
        2.41419,
        2.59416,
        1.25768,
        0.933789,
        0.899929,
        1.10214,
        1.05188,
        0.887033,
        1.01459,
        1.17818,
        1.17798,
        0.755077,
        0.703532,
        0.715866,
        1.13444,
        1.46452,
        1.35864,
        0.820288,
        0.7864,
        0.802054,
        1.17142,
        1.00707,
        0.714792,
        1.00772,
        0.782145,
        0.724195,
        1.20412,
        0.887296,
        0.739703,
        0.484332,
        0.643379,
        1.19948,
        0.911564,
        0.851735,
        1.0071,
        0.790977,
        0.776849,
        0.771573,
        0.777448,
        0.846985,
        0.919931,
        0.998736,
        0.95954,
        0.980592,
        0.94266,
        0.977318,
        0.849996,
        1.06097,
        1.13196,
        0.921904,
        0.732247,
        0.778714,
        0.589202,
        0.787526,
        0.950673,
        1.04652,
        0.918689,
        1.04046,
        0.938819,
        0.871632,
        0.882039,
        0.935554,
        1.04329,
        1.00404,
        0.899474,
        0.839096,
        0.951224,
        0.985718,
        0.755305,
        0.674133,
        0.778366,
        1.01389,
        0.856723,
        0.804764,
        0.909081,
        0.9868,
        0.889174,
        0.909547,
        0.825456,
        0.867433,
        1.00908,
        1.01353,
        0.910761,
        0.919803,
        0.803882,
        0.857663,
        0.892041,
        1.014,
        1.00417,
        1.16796,
        1.0386,
        0.933725,
        0.837608,
        0.774668,
        0.915861,
        1.08248,
        0.828468,
        0.744542,
        0.873115,
        0.954379,
        1.04624,
        0.900194,
        0.684349,
        0.816133,
        0.872296,
        0.736604,
        0.972242,
        0.9897,
        0.949068,
        0.841845,
        0.867995,
        0.926506,
        0.868774,
        0.876375,
        0.987394,
        1.17582,
        1.01238,
        0.808692,
        0.919224,
        0.944263,
        1.16017,
        0.937145,
        0.633032,
        1.09141,
        1.00456,
        0.594795,
        1.44403,
        2.09489,
        1.47925,
        0.751381,
        0.97409,
        0.898614,
        0.806924,
        1.02181,
        1.32854,
        0.647481,
        1.11951,
        0.980967,
        1.25774,
        1.30251,
        0.700688,
        0.832352,
        0.843781,
        0.946736,
        1.06118,
        1.27176,
        1.10295,
        0.952696,
        1.00788,
        1.00998,
        1.05543,
        0.558683,
        0.720049,
        0.814259,
        0.454014,
        0.776591,
        0.77252,
        0.747644,
        0.856395,
        0.758688,
        0.712742,
        0.837183,
        0.870491,
        0.85042,
        0.964302,
        0.979958,
        1.00685,
        0.8691,
        0.910579,
        0.965155,
        0.839444,
        0.982579,
        0.843149,
        0.789875,
        0.837539,
        0.755722,
        0.844207,
        0.722431,
        0.707528,
        0.793478,
        0.881545,
        0.924513,
        0.926974,
        0.9479,
        0.907519,
        0.64144,
        0.820671,
        1.07802,
        0.911002,
        0.850143,
        0.772159,
        0.725688,
        0.809809,
        1.0453,
        0.959001,
        1.13158,
        1.14744,
        0.773184,
        0.81673,
        0.84311,
        0.804744,
        0.773088,
        0.748509,
        0.830187,
        0.711175,
        0.754943,
        0.687332,
        0.719661,
        0.780304,
        0.885181,
        0.831891,
        0.798777,
        0.836392,
        0.766248,
        0.846151,
        0.895114,
        0.842423,
        0.909585,
        0.898327,
        0.798269,
        0.864432,
        0.897793,
        0.761316,
        0.757521,
        0.9207,
        1.07495,
        0.974297,
        0.848137,
        0.699821,
        0.767111,
        0.971726,
        0.787158,
        0.824568,
        0.964982,
        0.970837,
        0.996909,
        0.959816,
        0.991721,
        1.16062,
        1.04642,
        0.79768,
        0.850989,
        1.06654,
        1.30809,
        1.0202,
        0.745956,
        0.738705,
        1.48091,
        0.950488,
        0.503589,
        0.764982,
        0.862695,
        0.950359,
        0.99948,
        1.2969,
        1.03642,
        1.03269,
        0.955565,
        0.959719,
        0.957926,
        0.850846,
        0.83767,
        0.841951,
        0.711216,
        0.598935,
        0.824516,
        0.825997,
        0.90428,
        0.833586,
        0.818379,
        0.957084,
        1.05895,
        1.00244,
        0.945845,
        0.974234,
        0.864131,
        0.908594,
        1.03095,
        0.930965,
        0.926541,
        0.908867,
        0.924976,
        1.07171,
        1.069,
        1.02898,
        1.12578,
        1.11671,
        0.877742,
        0.795491,
        0.853452,
        0.84389,
        0.952407,
        1.15933,
        1.17408,
        1.04271,
        1.09417,
        1.06573,
        0.970645,
        0.970768,
        1.12927,
        1.04711,
        0.956091,
        0.958127,
        0.957605,
        1.12183,
        1.19872,
        1.09574,
        1.293,
        1.19838,
        2.08663,
        2.22692,
        1.56897,
        9.57949,
        1.75198,
        0.918397,
        1.10943,
        0.710305,
        0.548588,
        0.986814,
        0.930466,
        1.02017,
        1.05035,
        0.863861,
        0.753468,
        0.81085,
        0.860269,
        1.13282,
        0.973507,
        0.736564,
        0.741124,
        0.875435,
        0.969083,
        0.850418,
        0.825942,
        0.495293,
        0.387414,
        0.385422,
        0.273883,
        0.184033,
        0.196839,
        0.187108,
        0.267982,
        0.537962,
        0.515984,
        0.458885,
        0.839182,
        1.15786,
        1.01826,
        0.654979,
        0.710529,
        0.788494,
        0.713469,
        0.604815,
        0.869852,
        0.959895,
        0.988025,
        0.86155,
        0.931117,
        0.62872,
        0.740005,
        1.39778,
        1.88274,
        1.34764,
        2.6897,
        0.978708,
        0.798807,
        1.18671,
        0.891749,
        0.471731,
        0.428323,
        0.736304,
        0.603183,
        0.950139,
        0.715978,
        0.912881,
        1.01028,
        1.12147,
        1.10109,
        1.03921,
        1.04163,
        0.852995,
        0.928203,
        1.10059,
        1.04694,
        0.913373,
        0.955186,
        0.849807,
        0.926286,
        1.0225,
        1.03593,
        0.952665,
        0.900938,
        1.11629,
        0.927269,
        0.785477,
        1.0044,
        1.11944,
        1.03425,
        0.947113,
        0.958875,
        1.01047,
        0.909846,
        0.863688,
        0.819878,
        0.934332,
        0.755795,
        0.795314,
        0.939008,
        1.00337,
        0.98561,
        0.824254,
        0.893355,
        1.02782,
        0.974232,
        0.966282,
        0.923858,
        0.998791,
        1.08413,
        1.02506,
        0.857366,
        0.752768,
        0.938739,
        1.07474,
        1.01356,
        0.842444,
        1.00426,
        0.928357,
        0.89829,
        0.867239,
        1.03547,
        0.980104,
        0.796632,
        0.893903,
        1.05367,
        0.811469,
        0.858004,
        0.815979,
        0.733298,
        0.732044,
        0.718097,
        0.916833,
        0.948925,
        1.00683,
        0.909363,
        0.943146,
        0.897294,
        0.873923,
        0.765741,
        0.753427,
        0.883395,
        0.999107,
        0.895065,
        0.834187,
        0.813392,
        0.756005,
        0.832405,
        0.711078,
        0.689276,
        0.72293,
        0.806579,
        0.857342,
        0.818198,
        0.668104,
        0.875618,
        0.891529,
        0.992182,
        0.933438,
        1.02626,
        0.922724,
        0.684826,
        0.578895,
        0.625503,
        0.92438,
        0.959994,
        1.04933,
        0.910252,
        0.697614,
        0.751749,
        1.21634,
        1.53415,
        1.05111,
        0.653246,
        0.914543,
        0.948801,
        0.667837,
        0.674869,
        0.428147,
        0.810397,
        1.32143,
        0.867122,
        0.89745,
        1.00331,
        0.958944,
        1.44352,
        1.19301,
        0.617164,
        0.691715,
        0.831123,
        0.587391,
        1.3763,
        1.10008,
        0.768448,
        0.496808,
        0.648281,
        0.950771,
        0.800962,
        0.878862,
        0.907227,
        0.680622,
        0.677791,
        0.859018,
        0.690563,
        0.84147,
        1.09478,
        0.953753,
        0.838977,
        0.676916,
        0.937607,
        0.773342,
        0.81219,
        0.763902,
        0.799949,
        0.921758,
        0.981892,
        0.919007,
        0.996391,
        1.09833,
        0.923542,
        0.858784,
        1.06012,
        0.949608,
        0.812398,
        0.76827,
        0.840508,
        0.938714,
        0.755229,
        0.896352,
        1.00292,
        1.22706,
        1.19033,
        1.05209,
        0.894798,
        0.867976,
        0.784696,
        0.81831,
        0.813435,
        0.771784,
        0.974135,
        1.04327,
        0.862279,
        0.775612,
        0.989103,
        0.891333,
        0.715827,
        0.923062,
        0.756473,
        0.728726,
        0.858092,
        0.879957,
        1.03784,
        0.974609,
        1.0046,
        0.925716,
        0.730786,
        0.817574,
        0.769465,
        0.961097,
        1.03842,
        1.02436,
        0.920006,
        1.03253,
        0.943171,
        0.844462,
        0.848419,
        0.919363,
        0.798982,
        0.832146,
        0.825224,
        0.903805,
        1.02284,
        0.876267,
        0.871899,
        0.935848,
        0.732596,
        0.962585,
        1.09375,
        0.69097,
        0.560946,
        0.758121,
        0.965893,
        0.998896,
        1.02421,
        1.06644,
        0.924953,
        0.900974,
        1.04182,
        0.832251,
        0.95176,
        0.935156,
        0.764041,
        0.981597,
        0.961003,
        0.925296,
        0.804412,
        0.525998,
        0.656444,
        0.932549,
        0.97013,
        1.08685,
        0.691002,
        0.784566,
        0.633128,
        0.706303,
        0.93909,
        0.870495,
        0.695097,
        0.802247,
        0.488535,
        0.395479,
        0.683113,
        0.895082,
        0.998079,
        0.971997,
        0.748799,
        0.84811,
        0.97012,
        0.949043,
        0.982664,
        0.928413,
        0.760757,
        0.912961,
        1.47819,
        0.650869,
        0.658095,
        0.9032,
        1.50287,
        1.1437,
        0.993559,
        1.20086,
        1.03732,
        0.673513,
        0.825264,
        1.14577,
        1.19248,
        1.10855,
        0.902234,
        0.693932,
        0.8367,
        0.941495,
        0.842812,
        1.077,
        0.962716,
        1.12567,
        1.08385,
        1.06299,
        1.10387,
        1.1523,
        1.13953,
        1.02296,
        0.806659,
        0.940154,
        0.844796,
        0.921559,
        0.833158,
        1.17773,
        0.965361,
        1.16974,
        0.852367,
        0.907394,
        0.878156,
        0.779007,
        0.678919,
        0.923974,
        0.533247,
        0.701804,
        0.749984,
        1.11663,
        1.09108,
        0.822767,
        0.88631,
        null,
        0.896184,
        1.07409,
        1.04058,
        1.14505,
        0.842534,
        0.713413,
        1.0664,
        0.836364,
        0.877281,
        0.946593,
        1.09638,
        0.971363,
        0.883105,
        0.848233,
        0.942815,
        1.12128,
        0.853113,
        0.780339,
        0.820047,
        0.812073,
        0.844458,
        0.972514,
        0.863883,
        0.958888,
        1.00723,
        0.808822,
        0.917482,
        0.899876,
        1.22611,
        0.706868,
        0.89094,
        1.04096,
        0.784736,
        0.780084,
        0.803313,
        0.991596,
        0.775638,
        0.62612,
        0.549684,
        0.840144,
        0.69523,
        0.875315,
        0.640062,
        0.802863,
        0.749474,
        0.763111,
        0.648787,
        0.759864,
        0.938717,
        0.87932,
        0.794285,
        0.836401,
        0.909945,
        0.689834,
        0.977377,
        0.930441,
        0.81287,
        0.902998,
        0.876306,
        1.07905,
        1.03601,
        0.811302,
        0.716442,
        0.93136,
        1.05427,
        1.101,
        0.892889,
        0.842558,
        1.04388,
        0.849568,
        0.789386,
        1.11918,
        1.50519,
        1.01284,
        0.918826,
        0.639441,
        0.783853,
        0.767027,
        1.04213,
        1.08104,
        0.83451,
        0.698525,
        0.426643,
        0.663768,
        0.954748,
        0.770638,
        1.01885,
        0.933406,
        0.900526,
        0.975554,
        0.806946,
        0.810641,
        0.920684,
        0.892522,
        0.946343,
        0.795686,
        0.778827,
        1.15258,
        0.859533,
        0.803475,
        0.94454,
        0.840639,
        0.797058,
        0.780429,
        0.854805,
        0.841419,
        0.738069,
        0.648376,
        0.856733,
        0.919797,
        0.772729,
        0.850374,
        0.909023,
        0.916886,
        0.910653,
        0.658666,
        0.96135,
        0.876349,
        0.893302,
        0.823704,
        0.946081,
        0.824756,
        0.873864,
        0.877312,
        0.781548,
        0.670845,
        0.934166,
        0.7962,
        0.926987,
        0.879867,
        0.829083,
        0.728305,
        0.848318,
        0.884929,
        0.942603,
        0.990074,
        0.912058,
        1.14613,
        1.07202,
        0.94737,
        0.769222,
        0.856905,
        0.894369,
        0.943188,
        0.896281,
        0.800775,
        0.727206,
        1.05373,
        0.851928,
        0.690843,
        0.776021,
        0.791784,
        0.957533,
        0.819152,
        0.824261,
        0.691519,
        0.717621,
        0.713767,
        0.86733,
        0.991376,
        0.963195,
        0.928691,
        0.895888,
        0.8758,
        0.812959,
        0.788856,
        0.882016,
        0.8149,
        0.789965,
        0.712951,
        0.700381,
        0.948088,
        0.729177,
        0.704218,
        0.878461,
        0.950082,
        0.860244,
        0.884414,
        0.922317,
        0.911187,
        0.836474,
        0.959812,
        0.885236,
        0.863793,
        0.828557,
        0.818004,
        1.07552,
        0.876542,
        0.757149,
        1.03518,
        1.11836,
        0.806298,
        0.872601,
        0.944505,
        0.776887,
        0.861335,
        0.728064,
        1.04408,
        0.80678,
        0.69253,
        0.628969,
        0.640171,
        0.685862,
        0.719356,
        0.666274,
        0.88943,
        0.839766,
        0.681266,
        0.77254,
        0.971764,
        0.978871,
        0.846021,
        0.88803,
        0.933026,
        0.841401,
        0.770776,
        0.907462,
        0.958761,
        0.884519,
        0.657162,
        0.908046,
        0.875822,
        0.922978,
        0.869728,
        0.789841,
        0.959138,
        0.99629,
        0.892577,
        0.862382,
        0.935639,
        0.780848,
        0.963644,
        0.857608,
        0.807764,
        0.794519,
        0.899212,
        0.911429,
        0.885095,
        0.871938,
        1.0168,
        0.954139,
        0.92008,
        0.939353,
        0.897802,
        0.927268,
        0.842525,
        0.886965,
        0.94901,
        0.874451,
        0.926397,
        0.811166,
        0.965828,
        0.819277,
        0.905427,
        0.94627,
        1.21349,
        0.913799,
        1.28627,
        1.01257,
        1.08723,
        1.04526,
        0.57113,
        0.901739,
        1.69793,
        1.23822,
        1.6421,
        2.50795,
        2.82193,
        2.41321,
        0.6174,
        1.36332,
        1.38853,
        0.992125,
        1.17404,
        1.12411,
        0.9397,
        1.20089,
        1.05557,
        0.756791,
        0.830788,
        0.883311,
        1.01233,
        0.876107,
        1.01977,
        0.997629,
        0.888574,
        0.549836,
        0.501635,
        0.505663,
        0.484045,
        0.245897,
        0.480196,
        0.202454,
        0.470451,
        0.37574,
        0.635996,
        0.650119,
        0.73385,
        0.554658,
        0.755692,
        0.780454,
        0.790189,
        0.893809,
        0.610769,
        0.8363,
        0.846104,
        0.702549,
        0.824293,
        1.07538,
        0.776413,
        0.804795,
        0.949917,
        1.12874,
        0.92666,
        1.17064,
        0.968534,
        0.875143,
        0.62951,
        0.87983,
        0.963053,
        0.807753,
        0.84795,
        0.935638,
        0.987077,
        0.807655,
        0.843687,
        0.89768,
        0.905121,
        0.857427,
        0.882451,
        0.923338,
        0.842879,
        0.96319,
        0.930502,
        0.903802,
        0.937538,
        0.943024,
        1.00694,
        0.963666,
        0.886148,
        0.903816,
        0.814389,
        0.892199,
        1.05771,
        0.920342,
        0.887694,
        0.979303,
        0.963438,
        0.880969,
        0.895027,
        0.862707,
        1.04187,
        0.896488,
        0.804134,
        0.81541,
        0.840718,
        0.76876,
        0.802311,
        1.04534,
        0.898561,
        0.806031,
        0.888215,
        1.05114,
        0.893651,
        0.954361,
        0.838267,
        0.889796,
        0.636044,
        0.822255,
        0.795147,
        1.06366,
        0.820578,
        0.75821,
        0.869333,
        0.756558,
        0.705954,
        0.911891,
        0.859056,
        0.714196,
        0.736284,
        0.827072,
        0.820089,
        0.853334,
        0.807765,
        0.749049,
        0.706741,
        0.776257,
        0.831161,
        0.773682,
        0.820383,
        0.97001,
        0.906576,
        0.810493,
        0.801052,
        0.83645,
        0.83507,
        0.831618,
        0.80118,
        0.816358,
        0.828877,
        0.804305,
        0.871659,
        0.806216,
        0.945626,
        0.930372,
        0.837307,
        0.978278,
        0.960111,
        0.775667,
        0.842114,
        0.868375,
        0.791624,
        0.936378,
        0.949887,
        0.82102,
        0.84416,
        0.971883,
        1.04442,
        0.882089,
        0.984493,
        0.665601,
        0.758545,
        1.16271,
        0.729937,
        0.714374,
        0.607727,
        0.861954,
        0.873435,
        0.508658,
        0.899252,
        0.970145,
        1.09439,
        1.11992,
        0.824601,
        0.656674,
        0.746455,
        0.819003,
        0.799039,
        1.00289,
        0.898671,
        0.889261,
        0.910451,
        0.728754,
        0.899594,
        0.793836,
        0.766728,
        0.754802,
        0.784574,
        0.665086,
        0.794505,
        0.743812,
        0.856372,
        0.745817,
        0.77816,
        0.909535,
        0.941072,
        0.950019,
        0.785182,
        0.798542,
        0.704499,
        0.873749,
        0.90723,
        0.938105,
        0.82994,
        0.864464,
        0.665936,
        0.793206,
        0.755474,
        0.883485,
        0.896876,
        0.910137,
        1.01728,
        0.999775,
        1.03211,
        1.26041,
        0.949649,
        0.768777,
        0.823621,
        0.977755,
        0.716477,
        0.943954,
        0.93149,
        0.876309,
        0.99016,
        0.965414,
        0.891106,
        0.947813,
        0.711785,
        1.02853,
        0.849445,
        0.900983,
        0.920543,
        0.799422,
        0.827926,
        0.79355,
        0.914961,
        0.998355,
        0.903144,
        0.893493,
        0.804484,
        0.847564,
        0.88055,
        0.924059,
        0.968526,
        0.884095,
        0.886443,
        0.84651,
        0.995006,
        1.04671,
        0.944277,
        0.861172,
        0.921939,
        0.754304,
        0.803753,
        0.777301,
        0.851112,
        0.88942,
        0.904671,
        0.77328,
        0.784945,
        0.939625,
        0.934281,
        0.828635,
        0.885626,
        0.780441,
        0.96559,
        0.863742,
        0.863651,
        0.882013,
        0.917732,
        0.811566,
        0.809394,
        0.927572,
        0.846473,
        0.873165,
        0.989423,
        0.938904,
        0.815722,
        0.957243,
        0.82804,
        0.900407,
        0.912988,
        0.907631,
        0.935802,
        0.871002,
        1.01553,
        0.893419,
        0.878904,
        0.922131,
        0.867977,
        0.766807,
        0.862556,
        0.871634,
        0.970648,
        0.871666,
        0.959391,
        0.912417,
        0.829362,
        0.7272,
        0.672816,
        0.810135,
        0.765208,
        0.97655,
        0.890465,
        0.801704,
        0.940273,
        1.00653,
        1.07899,
        0.955615,
        0.736661,
        0.836801,
        0.870562,
        0.912734,
        0.968976,
        0.911636,
        0.971545,
        0.877717,
        0.939659,
        0.907686,
        0.936447,
        0.849375,
        0.948163,
        0.876872,
        0.916295,
        1.04771,
        0.84777,
        0.873301,
        0.855755,
        0.800692,
        0.929794,
        0.962071,
        1.00512,
        0.882827,
        0.880523,
        0.931939,
        0.88836,
        0.958768,
        1.01409,
        0.981703,
        0.989185,
        0.97793,
        0.848298,
        0.898201,
        0.770893,
        0.870423,
        0.913664,
        0.83234,
        0.829127,
        0.936937,
        0.900078,
        0.924998,
        0.904236,
        0.934597,
        1.0145,
        0.90093,
        0.922103,
        0.883112,
        0.891961,
        0.889292,
        0.790776,
        0.786759,
        0.895317,
        0.858156,
        0.953302,
        0.850796,
        0.783797,
        0.752595,
        0.717143,
        0.940436,
        1.24593,
        0.963157,
        1.15606,
        1.0908,
        1.04206,
        0.94554,
        0.813514,
        0.428461,
        0.814061,
        0.609126,
        0.783901,
        16.9411,
        8.59503,
        1.35544,
        0.643832,
        1.13891,
        1.19471,
        0.996361,
        0.88911,
        0.734203,
        0.812812,
        0.929089,
        0.847545,
        0.83856,
        0.820215,
        0.739219,
        0.852338,
        0.831548,
        0.977354,
        0.666352,
        0.721587,
        0.85363,
        0.666928,
        0.468005,
        0.349275,
        0.36587,
        0.383833,
        0.344593,
        0.2505,
        0.200434,
        0.220736,
        0.297851,
        0.284042,
        0.510331,
        0.602319,
        0.610223,
        0.666842,
        0.819455,
        0.977332,
        0.743433,
        0.813412,
        0.841114,
        0.78141,
        0.918228,
        0.879995,
        0.76492,
        0.985677,
        0.802875,
        0.880135,
        0.807092,
        0.791497,
        0.863938,
        0.792031,
        0.894488,
        0.823101,
        0.7762,
        0.867392,
        0.894985,
        0.908833,
        0.92693,
        1.01103,
        0.855281,
        0.785065,
        0.916889,
        0.951315,
        0.97067,
        0.792297,
        0.785498,
        1.00338,
        0.79775,
        0.893319,
        0.950286,
        0.825735,
        0.74875,
        0.950676,
        0.902534,
        0.891785,
        0.974664,
        0.82848,
        0.797543,
        0.911701,
        0.926117,
        0.839351,
        0.716517,
        0.858821,
        0.904779,
        0.832271,
        0.812567,
        0.859768,
        0.885501,
        0.989306,
        0.888154,
        0.846629,
        0.814915,
        0.88407,
        0.803438,
        0.850458,
        0.880437,
        0.759866,
        0.715144,
        0.754131,
        0.77984,
        0.742563,
        0.738439,
        0.761623,
        0.841137,
        0.871418,
        0.805903,
        0.863848,
        0.759243,
        0.839388,
        0.902651,
        0.793747,
        0.759642,
        0.853318,
        0.764725,
        0.751991,
        0.60729,
        0.706364,
        0.830723,
        0.936136,
        0.824585,
        0.811334,
        0.839938,
        0.694626,
        0.622472,
        0.852114,
        0.918126,
        0.890801,
        0.779655,
        0.874626,
        0.840322,
        0.971725,
        0.807279,
        0.879219,
        0.936189,
        0.815145,
        0.782111,
        0.791044,
        0.851337,
        0.961583,
        0.890596,
        0.782883,
        0.845137,
        0.797997,
        0.81466,
        0.845569,
        0.79223,
        0.806349,
        0.809982,
        0.829149,
        0.879793,
        0.95482,
        0.789464,
        0.822482,
        0.815278,
        0.84358,
        0.775065,
        0.786318,
        0.723113,
        0.734757,
        0.689558,
        0.868904,
        0.884439,
        0.79284,
        0.809135,
        0.876786,
        0.649889,
        0.59189,
        0.834687,
        0.965478,
        0.844992,
        0.795533,
        0.877258,
        0.960721,
        0.980475,
        0.889322,
        0.750983,
        0.820922,
        0.966541,
        0.924561,
        0.826197,
        0.834344,
        0.750728,
        0.823225,
        0.816753,
        0.936993,
        0.852997,
        0.866741,
        0.900675,
        0.833931,
        0.794924,
        0.84161,
        0.858351,
        0.877743,
        0.828262,
        0.850495,
        0.895328,
        0.881543,
        0.925503,
        0.836738,
        0.829269,
        0.855495,
        0.835572,
        1.02302,
        1.11228,
        0.789436,
        0.649336,
        0.812574,
        0.856546,
        0.881834,
        0.801024,
        0.755145,
        0.920844,
        0.893878,
        0.753192,
        0.970665,
        0.945143,
        0.85909,
        0.941933,
        0.974888,
        1.00899,
        0.994005,
        0.882284,
        0.769522,
        0.824806,
        0.757219,
        0.77651,
        0.963828,
        0.863704,
        0.804111,
        0.919981,
        0.81381,
        0.904683,
        0.875288,
        0.691533,
        0.762237,
        0.887395,
        0.954954,
        0.886702,
        0.801437,
        0.79571,
        0.77176,
        0.810206,
        0.88399,
        0.918589,
        0.82636,
        0.790791,
        0.918763,
        0.869725,
        0.869778,
        0.844377,
        0.817837,
        0.736805,
        0.716137,
        0.712688,
        0.78058,
        0.895541,
        0.799424,
        0.723508,
        0.742423,
        0.812544,
        0.854502,
        0.863976,
        0.870753,
        0.903203,
        0.794093,
        0.843326,
        0.855601,
        0.924329,
        0.920297,
        0.949053,
        0.828427,
        0.801801,
        0.833694,
        0.813877,
        0.867726,
        0.832706,
        0.935233,
        0.929593,
        0.825201,
        0.712262,
        0.646628,
        0.70729,
        0.827907,
        0.872716,
        0.824821,
        0.761108,
        0.956488,
        0.831032,
        0.816583,
        0.879662,
        0.779694,
        0.778932,
        0.764366,
        0.795626,
        0.92412,
        0.863223,
        0.932316,
        1.0113,
        0.966747,
        0.886264,
        1.0383,
        0.818651,
        0.847742,
        0.781979,
        0.918551,
        0.893022,
        0.879495,
        0.89052,
        0.958215,
        0.987329,
        0.926663,
        0.732078,
        0.827548,
        0.956403,
        0.930449,
        0.889828,
        0.847264,
        0.863971,
        0.907055,
        0.942463,
        0.923466,
        1.02012,
        0.897199,
        0.758255,
        0.855575,
        1.00472,
        1.04928,
        1.05046,
        0.914253,
        0.822078,
        0.868979,
        0.761336,
        0.71992,
        0.663053,
        0.648508,
        0.818576,
        0.78972,
        0.723317,
        0.728596,
        0.725681,
        0.802989,
        0.777192,
        0.884193,
        0.919898,
        1.00397,
        0.977752,
        0.835104,
        1.02833,
        0.988089,
        0.96744,
        0.827722,
        0.792894,
        0.808119,
        0.973726,
        0.981624,
        0.776312,
        0.754461,
        0.911412,
        0.940218,
        1.0195,
        0.899874,
        0.864638,
        0.880714,
        0.960714,
        0.980819,
        0.918159,
        0.92534,
        0.893783,
        0.869868,
        0.901271,
        0.925681,
        1.06447,
        1.00508,
        0.909236,
        0.77929,
        0.863414,
        0.865086,
        1.00467,
        0.781488,
        0.756775,
        0.807258,
        0.821224,
        0.814108,
        0.806961,
        0.918187,
        0.935171,
        0.835342,
        0.696908,
        0.601225,
        0.787956,
        1.27966,
        2.25227,
        0.601879,
        0.961624,
        0.917088,
        0.862074,
        1.07233,
        0.901505,
        0.870137,
        0.862284,
        0.84764,
        0.960114,
        0.899435,
        0.758736,
        1.00705,
        0.964167,
        0.811943,
        0.899066,
        0.633521,
        0.696022,
        0.767834,
        0.529391,
        0.283604,
        0.450549,
        0.376082,
        0.165091,
        0.368099,
        0.327636,
        0.438796,
        0.422483,
        0.470828,
        0.71843,
        0.717517,
        0.683146,
        0.734492,
        0.661312,
        0.642143,
        0.59917,
        0.689837,
        0.751743,
        0.706003,
        0.698275,
        0.733664,
        0.756086,
        0.753781,
        0.743901,
        0.868327,
        0.853899,
        0.776045,
        0.804272,
        0.796874,
        0.848636,
        0.852917,
        0.850749,
        0.823094,
        0.805126,
        1.00201,
        0.878919,
        0.875801,
        0.811271,
        0.732473,
        0.908435,
        0.930279,
        0.782791,
        0.92497,
        1.08458,
        0.92184,
        0.879603,
        0.73849,
        0.753192,
        0.950962,
        0.949736,
        0.859645,
        0.891811,
        0.874626,
        0.844262,
        0.859236,
        0.800324,
        0.802995,
        1.01833,
        1.06741,
        0.97005,
        0.912877,
        0.822426,
        0.884522,
        0.898308,
        0.817383,
        0.85921,
        0.844165,
        0.803642,
        0.871086,
        0.904592,
        0.915678,
        0.780864,
        0.82417,
        0.811096,
        0.793445,
        0.788243,
        0.813968,
        0.791439,
        0.859319,
        0.817717,
        0.809287,
        0.866324,
        0.827286,
        0.872265,
        0.914224,
        0.799014,
        0.875813,
        0.831947,
        0.872248,
        0.843839,
        0.948754,
        0.979604,
        0.864284,
        0.809122,
        0.988378,
        0.919655,
        0.810261,
        0.912959,
        0.907054,
        0.82973,
        0.842084,
        0.842811,
        0.877215,
        0.997923,
        0.955339,
        0.932363,
        0.917267,
        0.76783,
        0.762762,
        0.950127,
        0.93,
        0.907465,
        0.833265,
        0.730438,
        0.785551,
        0.830013,
        0.879721,
        0.871722,
        0.884658,
        0.892095,
        0.900489,
        0.782848,
        0.809989,
        0.865816,
        0.958839,
        0.794325,
        0.803472,
        0.803451,
        0.824818,
        0.817807,
        0.839254,
        0.862598,
        0.888563,
        0.839557,
        0.923169,
        1.01636,
        0.966799,
        0.902496,
        0.906455,
        0.969454,
        0.969828,
        0.882917,
        0.897565,
        0.797506,
        0.784471,
        0.794607,
        0.89401,
        0.844838,
        0.881166,
        0.849947,
        0.861543,
        0.835347,
        0.875781,
        0.920521,
        0.933422,
        0.815874,
        0.874696,
        0.982008,
        0.883826,
        0.786028,
        0.735637,
        0.96388,
        0.816395,
        0.635875,
        0.803369,
        0.888555,
        1.00711,
        0.917037,
        0.904004,
        0.900687,
        0.715257,
        0.786264,
        0.923243,
        0.799297,
        0.851864,
        0.872263,
        0.816047,
        0.943129,
        0.796108,
        0.63766,
        0.90942,
        0.998623,
        0.856692,
        0.958225,
        0.91006,
        0.812098,
        0.926635,
        0.848375,
        0.885659,
        0.885749,
        0.85657,
        0.807195,
        0.819664,
        0.742928,
        0.898199,
        0.885008,
        0.834726,
        0.778929,
        0.805232,
        0.866688,
        0.885605,
        0.892655,
        0.89108,
        0.916189,
        0.774143,
        0.785181,
        0.868452,
        0.877955,
        0.826925,
        0.857865,
        0.871405,
        0.846797,
        0.798747,
        1.05748,
        1.12808,
        0.822471,
        0.684463,
        0.750846,
        0.518582,
        0.525964,
        0.490568,
        0.862551,
        1.00088,
        0.947272,
        0.687442,
        0.484864,
        0.757748,
        0.990465,
        0.869633,
        0.802,
        0.838699,
        0.869158,
        0.888359,
        0.747446,
        0.800361,
        0.788809,
        0.877299,
        0.863033,
        0.787022,
        0.827087,
        0.895325,
        0.905804,
        0.902571,
        0.888026,
        0.720534,
        0.842222,
        0.86208,
        0.857957,
        0.949389,
        0.881368,
        0.87288,
        0.888009,
        0.885051,
        0.77701,
        0.795925,
        0.873296,
        0.94659,
        0.900858,
        0.787157,
        0.852089,
        0.863221,
        0.745963,
        0.865822,
        0.792823,
        0.812268,
        0.863754,
        0.860891,
        0.883928,
        0.910312,
        0.871714,
        0.930627,
        1.01389,
        0.944816,
        0.896348,
        0.988429,
        0.798284,
        0.925755,
        1.14048,
        0.819407,
        0.815422,
        0.890036,
        0.84944,
        0.801791,
        0.72025,
        0.90877,
        0.913055,
        0.990003,
        0.846872,
        0.788485,
        0.828614,
        0.880225,
        0.789389,
        0.93678,
        0.960486,
        0.944182,
        0.98158,
        0.903224,
        0.780264,
        0.824883,
        0.868581,
        0.874525,
        0.894539,
        0.895652,
        0.994671,
        0.942894,
        0.858841,
        0.813466,
        0.800692,
        0.73631,
        0.723568,
        0.926425,
        0.912962,
        0.865106,
        0.850488,
        0.856744,
        0.839302,
        0.85381,
        0.838465,
        0.84307,
        0.793929,
        0.805689,
        0.845889,
        0.852544,
        0.902956,
        0.794437,
        0.726189,
        0.863093,
        0.811875,
        0.942752,
        0.8213,
        0.939626,
        0.920685,
        0.919996,
        0.945412,
        0.802713,
        0.895105,
        0.825483,
        0.876947,
        0.925797,
        0.974973,
        1.01705,
        0.991612,
        0.866425,
        0.931503,
        0.987017,
        0.732975,
        0.774378,
        0.90598,
        0.864289,
        0.891354,
        0.820717,
        0.86833,
        0.834101,
        0.888748,
        0.922961,
        0.915037,
        1.03498,
        0.799245,
        0.6662,
        0.638407,
        0.744172,
        0.850715,
        0.805675,
        0.796979,
        0.9753,
        0.948394,
        0.952999,
        1.06412,
        0.906483,
        0.815433,
        0.935633,
        0.750336,
        0.842204,
        0.968021,
        0.724226,
        0.680421,
        0.850708,
        0.590418,
        0.595159,
        0.686858,
        0.901609,
        0.89525,
        0.722365,
        1.20356,
        1.95705,
        2.87508,
        1.94775,
        1.73722,
        1.28485,
        1.04613,
        0.648496,
        0.530313,
        0.916087,
        1.34121,
        1.35759,
        0.860824,
        0.424822,
        0.782934,
        0.813851,
        0.687425,
        1.05132,
        1.15437,
        1.21082,
        1.31467,
        1.15163,
        1.55287,
        1.76057,
        1.04694,
        0.370686,
        0.796019,
        1.01788,
        0.92339,
        0.901184,
        0.778448,
        0.694545,
        1.00347,
        0.832222,
        0.583747,
        0.577647,
        0.897599,
        0.945176,
        0.759228,
        0.80316,
        0.776386,
        0.741624,
        0.910772,
        1.03123,
        1.00496,
        0.799088,
        0.821207,
        0.776687,
        0.885037,
        0.906621,
        0.801609,
        1.08859,
        1.05966,
        1.0342,
        0.848566,
        0.926183,
        0.905845,
        0.864976,
        0.830786,
        0.889332,
        0.998457,
        0.954293,
        0.8923,
        0.797065,
        0.719856,
        0.851472,
        0.88547,
        0.918102,
        0.875648,
        0.759702,
        0.6666,
        0.896115,
        1.00625,
        0.854892,
        0.876887,
        0.785218,
        0.969501,
        0.941195,
        0.998178,
        1.08765,
        0.96178,
        0.925661,
        0.808959,
        0.853974,
        1.07198,
        1.04984,
        0.974935,
        0.817952,
        0.805331,
        0.808848,
        0.872653,
        0.936545,
        0.984104,
        1.01622,
        0.950511,
        0.834633,
        0.783033,
        0.853292,
        0.79398,
        0.788495,
        0.87909,
        1.02761,
        0.886745,
        0.864997,
        0.956106,
        0.915448,
        0.745293,
        0.938075,
        0.960215,
        0.969991,
        0.839243,
        0.696479,
        0.703287,
        0.748927,
        0.847836,
        0.880839,
        0.829704,
        0.903891,
        0.924713,
        0.852095,
        0.826846,
        0.833816,
        0.809063,
        0.865207,
        0.892285,
        0.825868,
        0.866678,
        0.945055,
        0.840434,
        0.820448,
        0.778405,
        0.810552,
        0.882147,
        0.986952,
        1.0282,
        1.06011,
        0.903894,
        0.857186,
        0.894457,
        1.06089,
        0.950503,
        0.919288,
        1.04131,
        0.920241,
        0.837426,
        0.743714,
        0.930615,
        0.917344,
        0.959692,
        1.05043,
        1.06234,
        0.876105,
        0.923256,
        0.980026,
        0.89582,
        0.887488,
        0.805412,
        0.811376,
        0.897394,
        0.873709,
        0.824168,
        0.860964,
        0.757291,
        0.792154,
        0.776256,
        0.869129,
        0.958693,
        0.870852,
        0.838199,
        0.742076,
        0.779896,
        0.839413,
        1.05222,
        0.939438,
        0.859087,
        0.788611,
        0.754148,
        0.857456,
        0.789961,
        0.825622,
        0.743641,
        0.804932,
        0.891539,
        0.818356,
        0.730899,
        0.857302,
        0.792961,
        0.805173,
        0.906212,
        0.795177,
        0.794224,
        0.826492,
        0.898577,
        0.805638,
        0.818482,
        0.897714,
        0.828457,
        0.800016,
        1.05082,
        1.02039,
        0.887833,
        0.918784,
        0.94446,
        0.970563,
        0.895865,
        0.8614,
        0.843376,
        0.965097,
        0.962276,
        0.715277,
        0.779539,
        0.824868,
        0.883275,
        0.887434,
        0.876979,
        0.896184,
        1.04521,
        0.808054,
        0.743304,
        0.740978,
        0.90212,
        0.864725,
        0.76366,
        0.899583,
        1.04484,
        0.884799,
        0.930541,
        0.954508,
        0.933549,
        0.900607,
        1.09651,
        1.045,
        1.03161,
        0.892861,
        0.962797,
        0.977254,
        0.984492,
        1.00629,
        1.0653,
        1.00169,
        0.925033,
        0.859792,
        0.969716,
        0.876833,
        0.94014,
        0.977683,
        0.867514,
        0.890885,
        0.831369,
        0.871414,
        0.953639,
        0.979845,
        0.927775,
        1.01332,
        0.968461,
        0.875551,
        0.988479,
        1.00953,
        0.804198,
        0.787868,
        0.851592,
        0.835287,
        0.844046,
        0.798831,
        0.764755,
        0.746525,
        0.845144,
        1.01615,
        0.829065,
        0.865429,
        0.783144,
        0.633117,
        0.766536,
        0.985031,
        0.933362,
        0.903406,
        0.973179,
        0.860683,
        0.866875,
        0.865192,
        0.999819,
        1.09276,
        0.930267,
        1.00251,
        0.975766,
        0.835649,
        1.05672,
        0.900915,
        0.865507,
        0.971178,
        0.907932,
        0.913665,
        0.792527,
        0.764231,
        0.690905,
        0.829111,
        0.996924,
        0.964753,
        0.949831,
        0.795548,
        0.749937,
        0.856444,
        0.961164,
        0.919316,
        0.996113,
        0.961605,
        0.894437,
        0.972121,
        0.922969,
        0.895373,
        0.761593,
        0.622489,
        0.775483,
        0.725069,
        0.770673,
        0.759153,
        0.724391,
        0.760858,
        0.889531,
        0.889807,
        0.868704,
        0.810855,
        0.817313,
        0.658671,
        0.775857,
        0.755846,
        0.73688,
        0.830639,
        0.754945,
        0.7101,
        0.787907,
        0.915726,
        0.945252,
        1.02972,
        0.864808,
        0.802187,
        0.824093,
        0.875522,
        0.870142,
        0.809502,
        0.838463,
        0.939655,
        0.986937,
        0.968612,
        1.05471,
        0.842723,
        0.693102,
        0.708686,
        0.871569,
        0.927072,
        0.878426,
        0.888492,
        0.798371,
        0.710445,
        0.828978,
        0.952032,
        0.968514,
        0.769379,
        0.753267,
        0.864405,
        0.998559,
        0.99657,
        0.851708,
        0.794939,
        0.883734,
        0.960083,
        0.816186,
        0.960451,
        0.802354,
        0.762197,
        0.84085,
        1.00865,
        0.918414,
        0.791522,
        0.771422,
        0.89679,
        0.856235,
        0.796751,
        0.945795,
        0.863392,
        0.950807,
        0.852294,
        0.84841,
        0.91294,
        0.634455,
        0.869656,
        0.715094,
        0.842195,
        0.995478,
        1.03325,
        0.964398,
        0.939452,
        0.894571,
        0.836265,
        0.654034,
        0.859773,
        0.82674,
        0.983125,
        1.06253,
        1.04048,
        0.767719,
        0.70585,
        0.760262,
        0.91578,
        0.927865,
        1.09238,
        0.855153,
        0.735197,
        0.805332,
        0.89959,
        0.905413,
        0.830011,
        0.846654,
        0.895134,
        1.01946,
        1.09145,
        0.888264,
        1.2993,
        1.64145,
        0.843652,
        0.90621,
        1.29319,
        0.85199,
        1.90462,
        3.06134,
        0.610203,
        0.665346,
        0.678101,
        1.20279,
        1.01868,
        1.14512,
        1.12881,
        0.772076,
        0.727457,
        0.70311,
        0.813351,
        0.957597,
        0.856537,
        0.892254,
        0.956413,
        0.96957,
        0.981453,
        0.922493,
        0.630958,
        0.829642,
        0.795133,
        0.710572,
        0.550351,
        0.390795,
        0.491411,
        0.328583,
        0.223174,
        0.247717,
        0.305682,
        0.301541,
        0.469282,
        0.646251,
        0.628268,
        0.779245,
        0.752895,
        0.810632,
        0.753255,
        0.951264,
        0.767124,
        0.742103,
        0.811198,
        0.875884,
        0.875537,
        0.993214,
        0.914425,
        0.812182,
        0.876212,
        0.861482,
        0.845526,
        1.00499,
        0.744043,
        0.669299,
        0.801029,
        0.891395,
        0.7033,
        0.626877,
        0.898022,
        0.885292,
        0.784737,
        0.751275,
        0.800363,
        0.704759,
        0.844549,
        0.861131,
        0.81336,
        0.870021,
        0.732308,
        0.839859,
        0.661827,
        0.904959,
        0.776718,
        0.794791,
        0.923843,
        0.896248,
        0.905731,
        0.803633,
        0.902494,
        0.807628,
        0.929535,
        0.908317,
        0.730796,
        0.713212,
        0.753745,
        0.780433,
        0.826869,
        0.841682,
        0.733,
        0.761017,
        0.77784,
        0.862124,
        0.865533,
        0.741848,
        0.692041,
        0.813913,
        0.676022,
        0.722264,
        0.836223,
        0.604994,
        null,
        0.738154,
        0.768227,
        0.944938,
        0.819686,
        0.8976,
        0.81186,
        0.891189,
        0.764664,
        0.913197,
        1.03755,
        0.861894,
        0.831251,
        0.839956,
        0.710807,
        0.853245,
        0.754911,
        0.631438,
        0.86065,
        1.02875,
        0.942192,
        0.801343,
        0.81354,
        0.889481,
        1.05332,
        1.11862,
        0.787046,
        0.982013,
        0.977371,
        0.978452,
        0.764421,
        0.991272,
        1.12647,
        0.993877,
        0.850583,
        0.753118,
        0.883239,
        0.910971,
        0.835878,
        0.760036,
        0.867266,
        0.793262,
        0.867878,
        0.869391,
        0.87549,
        0.929638,
        0.94243,
        1.06725,
        1.00957,
        0.988398,
        0.700862,
        0.810767,
        0.91841,
        0.909801,
        0.817601,
        0.799767,
        0.837496,
        0.823696,
        0.837867,
        0.894527,
        0.892008,
        0.814369,
        0.807726,
        0.861774,
        0.780447,
        0.679257,
        0.740713,
        0.937644,
        0.800319,
        0.841299,
        0.773118,
        0.827768,
        0.853306,
        0.783585,
        0.781453,
        0.800856,
        0.747473,
        0.752888,
        0.905845,
        0.868457,
        0.929922,
        0.850987,
        0.961393,
        0.92193,
        0.850335,
        0.847635,
        0.851067,
        0.92523,
        0.667379,
        0.844685,
        0.816069,
        0.912122,
        0.773551,
        0.799776,
        0.750017,
        0.876366,
        0.776437,
        0.674505,
        0.709649,
        0.841111,
        0.789472,
        0.776515,
        0.935254,
        0.780487,
        0.78335,
        0.938758,
        0.68163,
        0.797387,
        0.752055,
        0.793345,
        0.808549,
        0.75807,
        0.822572,
        0.926101,
        0.877395,
        0.856299,
        0.877073,
        1.04275,
        0.960968,
        0.932674,
        0.836592,
        0.93342,
        0.901031,
        0.886778,
        0.70187,
        0.923074,
        0.851998,
        1.01439,
        0.987987,
        0.839791,
        0.943508,
        0.941004,
        0.957908,
        0.959835,
        0.77671,
        0.779021,
        1.07051,
        0.899884,
        0.746061,
        0.735179,
        0.500174,
        1.15206,
        0.877558,
        1.40879,
        1.57096,
        1.34537,
        2.44651,
        1.88907,
        1.2188,
        0.625881,
        1.21406,
        0.768911,
        0.862985,
        1.23208,
        0.914518,
        1.31596,
        1.18432,
        0.808132,
        0.748839,
        0.929479,
        1.00945,
        0.843323,
        0.954411,
        0.968318,
        1.05816,
        0.822962,
        0.791483,
        0.911572,
        0.699186,
        0.724852,
        0.677364,
        0.569157,
        0.510707,
        0.311453,
        0.297915,
        0.246203,
        0.113373,
        0.472459,
        0.564803,
        0.569211,
        0.544688,
        0.607908,
        0.693606,
        0.766161,
        0.645291,
        0.607976,
        0.838423,
        0.823559,
        0.881139,
        0.799143,
        0.88166,
        0.848408,
        0.808062,
        0.836715,
        0.800637,
        0.937014,
        0.802395,
        0.896075,
        0.846413,
        0.817103,
        0.762851,
        0.905301,
        1.0469,
        0.881435,
        0.80459,
        0.885753,
        0.79378,
        0.808284,
        0.875051,
        0.984701,
        0.778991,
        0.847264,
        0.902919,
        0.940215,
        0.8067,
        0.743601,
        0.89828,
        0.890516,
        0.872652,
        0.904085,
        0.879304,
        0.746801,
        0.861726,
        1.01234,
        0.977055,
        0.94542,
        0.947935,
        0.93603,
        1.03509,
        0.812666,
        0.76555,
        0.698311,
        0.849939,
        0.842296,
        0.74018,
        0.845424,
        0.721615,
        0.906241,
        0.800942,
        0.765277,
        0.663668,
        0.70114,
        0.903703,
        0.903509,
        0.774254,
        0.990258,
        0.870451,
        0.712407,
        0.756456,
        0.844542,
        0.725284,
        0.891061,
        0.861896,
        0.909019,
        0.888338,
        0.968118,
        1.00867,
        0.958362,
        0.834163,
        0.942761,
        0.951063,
        0.902652,
        0.964926,
        0.841886,
        0.859433,
        0.889723,
        0.87966,
        0.91191,
        0.681838,
        0.793859,
        0.942612,
        0.814189,
        0.733897,
        0.818194,
        0.868034,
        0.856509,
        0.80072,
        0.810569,
        0.830597,
        0.81196,
        0.846659,
        0.931342,
        0.890662,
        0.884359,
        0.854541,
        0.781346,
        0.776379,
        0.674898,
        0.711868,
        0.814951,
        0.903594,
        0.805355,
        0.921035,
        0.93703,
        0.767699,
        0.756049,
        0.695784,
        0.649475,
        0.61644,
        0.69899,
        0.773667,
        0.785422,
        0.697057,
        0.886685,
        0.88123,
        0.895533,
        0.942213,
        0.81381,
        0.876901,
        0.840668,
        0.860544,
        0.838198,
        0.876695,
        0.970151,
        1.06705,
        0.951725,
        0.84063,
        0.828209,
        0.856092,
        0.813766,
        0.791464,
        0.988736,
        0.846209,
        0.905155,
        0.88053,
        0.940025,
        0.969252,
        0.873281,
        0.799191,
        0.970942,
        1.0433,
        0.831166,
        0.831171,
        0.853424,
        0.806173,
        0.849361,
        0.864582,
        0.924905,
        0.93577,
        1.07344,
        0.947791,
        0.944221,
        0.737486,
        0.618547,
        0.849639,
        0.705784,
        0.78025,
        0.849076,
        0.750563,
        0.652983,
        0.916999,
        1.14689,
        0.921346,
        1.00404,
        0.769992,
        0.739314,
        1.25284,
        1.54232,
        1.60667,
        1.90352,
        1.58578,
        1.61614,
        1.13999,
        0.804006,
        0.492859,
        0.454478,
        1.09302,
        0.979366,
        0.942154,
        0.896729,
        1.04262,
        0.942993,
        0.925579,
        0.8415,
        0.676369,
        0.812846,
        0.802417,
        0.645839,
        0.688222,
        0.938462,
        1.02909,
        0.932732,
        0.76837,
        0.781337,
        0.826388,
        0.958099,
        0.878705,
        0.95617,
        0.889493,
        0.933225,
        0.99403,
        0.883921,
        0.782579,
        0.778167,
        0.84442,
        1.0054,
        0.972538,
        0.902966,
        0.850511,
        0.801107,
        0.861044,
        0.89428,
        0.885367,
        0.951676,
        0.999566,
        0.92336,
        0.881582,
        0.763424,
        0.910076,
        0.875057,
        0.78371,
        0.82786,
        1.04059,
        0.897924,
        0.686347,
        0.789822,
        0.785731,
        0.95985,
        0.931203,
        0.87712,
        0.853744,
        0.661311,
        0.798855,
        0.672006,
        0.748935,
        0.718408,
        0.714036,
        0.781588,
        0.815551,
        0.767596,
        0.879776,
        0.812037,
        0.853463,
        0.955703,
        0.866212,
        0.804807,
        0.849163,
        0.895259,
        0.888843,
        0.939781,
        0.909064,
        0.686761,
        0.762142,
        0.929424,
        0.869543,
        0.953857,
        0.972451,
        0.928758,
        0.895189,
        0.935031,
        0.879689,
        0.892986,
        1.07471,
        1.01345,
        0.902016,
        1.00442,
        0.933576,
        0.985211,
        0.927474,
        0.76207,
        0.925941,
        0.871016,
        0.779696,
        0.731184,
        0.852535,
        1.0089,
        1.08696,
        0.940024,
        0.784717,
        0.90893,
        0.789308,
        0.897408,
        0.894617,
        0.753495,
        0.951009,
        0.928622,
        0.935789,
        0.866292,
        0.822661,
        0.818863,
        0.834004,
        0.839849,
        0.945062,
        0.929782,
        0.865381,
        0.840732,
        0.962052,
        1.0112,
        0.933059,
        0.67946,
        0.883203,
        0.833993,
        0.813042,
        0.781506,
        0.831645,
        0.688881,
        0.828158,
        0.956996,
        0.860292,
        0.791177,
        0.763705,
        0.646933,
        0.80025,
        0.799037,
        0.95943,
        0.970461,
        0.938181,
        0.999284,
        0.808298,
        0.70653,
        0.638977,
        0.903155,
        0.952136,
        0.829476,
        1.00902,
        0.943621,
        0.815844,
        0.907784,
        0.86239,
        0.91668,
        0.902473,
        1.07031,
        0.908068,
        0.699828,
        0.847852,
        0.853333,
        0.941102,
        0.919938,
        0.867061,
        0.817456,
        0.939026,
        0.946023,
        0.966393,
        1.01919,
        0.816604,
        1.1195,
        0.996516,
        0.821669,
        1.07325,
        1.54393,
        0.644404,
        0.882427,
        1.89169,
        2.58868,
        2.24208,
        1.54172,
        0.820959,
        0.780013,
        0.778426,
        0.908172,
        0.827192,
        0.759542,
        0.666964,
        0.902734,
        0.892704,
        0.865533,
        0.895906,
        0.906222,
        0.84518,
        0.785727,
        0.959357,
        0.839923,
        0.93318,
        1.00896,
        0.863266,
        0.655161,
        0.629874,
        0.553615,
        0.719879,
        0.695227,
        0.50945,
        0.360711,
        0.29683,
        0.27501,
        0.343552,
        0.401224,
        0.460855,
        0.697993,
        0.693535,
        0.694434,
        0.80828,
        0.887954,
        0.852712,
        0.746078,
        0.755905,
        0.794158,
        0.819862,
        0.815327,
        0.826444,
        0.841697,
        0.879643,
        0.949235,
        0.864829,
        0.902756,
        0.953548,
        0.875977,
        0.875047,
        1.06228,
        0.997433,
        0.961352,
        0.910166,
        0.835614,
        0.912136,
        0.863566,
        0.726502,
        0.813147,
        1.0212,
        0.944863,
        0.916372,
        0.974344,
        1.09191,
        0.934448,
        0.999963,
        1.04045,
        0.924783,
        0.920726,
        0.945455,
        0.900836,
        1.00412,
        0.931028,
        0.854967,
        0.940998,
        0.841633,
        0.900923,
        0.88928,
        0.86302,
        0.803305,
        0.698289,
        0.612978,
        0.726514,
        0.621732,
        0.65234,
        0.697359,
        0.78957,
        0.773999,
        0.862552,
        0.799588,
        0.851439,
        0.877191,
        0.842083,
        0.825702,
        0.806665,
        0.82729,
        0.838041,
        0.854272,
        0.850859,
        0.913565,
        0.898061,
        0.892446,
        0.811253,
        0.8063,
        0.925671,
        0.915545,
        0.888163,
        0.847888,
        0.891359,
        0.801782,
        0.871445,
        0.833648,
        0.824299,
        0.805686,
        1.02503,
        0.899813,
        0.920194,
        0.985756,
        0.89361,
        0.873908,
        0.797934,
        0.896989,
        0.84128,
        0.89307,
        1.01792,
        0.932697,
        0.952156,
        0.877734,
        0.908318,
        0.981916,
        0.981486,
        0.941632,
        0.921998,
        0.913121,
        0.980641,
        0.970796,
        1.00596,
        0.932845,
        0.892311,
        0.993186,
        0.91853,
        0.896336,
        0.889743,
        0.848752,
        0.849544,
        0.982266,
        0.94962,
        0.987469,
        0.947524,
        0.839549,
        0.839271,
        0.924096,
        0.971533,
        1.00967,
        0.963375,
        1.04023,
        0.990268,
        0.949743,
        0.966051,
        1.03541,
        1.00301,
        0.958525,
        0.863727,
        0.966094,
        1.01735,
        0.982581,
        1.01314,
        1.03132,
        1.02376,
        0.956117,
        1.01677,
        0.955116,
        0.869772,
        0.921874,
        0.991946,
        1.049,
        0.96405,
        0.873232,
        0.920443,
        0.940431,
        1.00025,
        0.929362,
        0.972781,
        1.02227,
        0.968943,
        1.0602,
        0.910168,
        1.08344,
        1.13498,
        1.01507,
        1.11022,
        1.17799,
        1.01832,
        0.922817,
        0.92778,
        1.09277,
        1.03429,
        0.93707,
        0.939898,
        0.93042,
        1.01288,
        0.990293,
        1.08302,
        1.05463,
        1.07554,
        0.937879,
        0.950868,
        1.06925,
        1.03104,
        1.11088,
        1.03362,
        0.955868,
        1.00142,
        1.03186,
        1.0662,
        1.12275,
        1.03916,
        1.02803,
        1.1178,
        1.16661,
        1.06731,
        1.12604,
        1.13522,
        1.16685,
        1.03266,
        1.0557,
        1.05869,
        1.02354,
        1.05782,
        0.985958,
        1.06006,
        1.10293,
        1.05415,
        1.01248,
        1.05342,
        1.13893,
        1.06348,
        1.02958,
        1.00629,
        1.08086,
        1.05418,
        1.05901,
        1.10489,
        1.0627,
        1.06297,
        1.04184,
        0.919515,
        0.919846,
        1.05311,
        1.01306,
        1.01951,
        1.0222,
        0.958558,
        0.883577,
        0.981408,
        0.991976,
        1.02914,
        1.13667,
        1.03446,
        1.15786,
        1.04721,
        1.04793,
        1.18013,
        1.12723,
        1.06346,
        1.19756,
        1.0196,
        0.97371,
        1.04063,
        1.0115,
        0.713368,
        0.949912,
        1.13378,
        0.923764,
        0.951025,
        1.1717,
        1.01905,
        1.06095,
        1.00668,
        0.959075,
        1.0153,
        1.07486,
        1.05146,
        1.0237,
        0.757864,
        0.904492,
        0.972889,
        0.995566,
        1.03654,
        0.979393,
        0.914088,
        1.03794,
        0.967832,
        1.02239,
        1.01068,
        0.897953,
        0.973322,
        0.997534,
        1.12162,
        0.983582,
        0.995313,
        0.913181,
        0.914499,
        0.876108,
        0.8903,
        0.995761,
        0.966456,
        0.988248,
        0.910675,
        0.909055,
        1.05445,
        1.09249,
        0.95404,
        0.932669,
        1.08832,
        1.01899,
        1.04378,
        0.99706,
        0.963265,
        1.08234,
        1.00166,
        1.05582,
        0.910569,
        0.993418,
        0.966996,
        0.94302,
        0.933491,
        1.03496,
        0.991521,
        1.02441,
        1.03325,
        1.02912,
        0.845266,
        0.867745,
        0.984067,
        0.873292,
        0.936566,
        0.96547,
        0.859882,
        0.831282,
        0.787446,
        0.836552,
        0.838972,
        0.937112,
        0.986571,
        0.983809,
        0.915055,
        0.943177,
        0.970393,
        0.938416,
        0.870244,
        0.872029,
        0.927655,
        1.07185,
        0.932017,
        1.03123,
        0.982513,
        0.978886,
        1.01008,
        1.05651,
        0.89759,
        1.01685,
        1.0505,
        0.984616,
        1.16578,
        1.13307,
        1.13385,
        1.08879,
        1.08179,
        1.019,
        0.923161,
        0.838386,
        0.780156,
        1.07052,
        1.30354,
        1.0034,
        0.574213,
        0.787929,
        0.791006,
        0.825078,
        1.62569,
        1.38936,
        0.907264,
        1.19483,
        0.974052,
        0.764199,
        0.650593,
        0.910288,
        0.934601,
        0.852167,
        0.931455,
        1.01692,
        0.773853,
        0.984839,
        0.803725,
        0.919446,
        0.964251,
        1.02099,
        1.05239,
        1.04785,
        1.01822,
        0.974515,
        0.812304,
        1.04779,
        1.05476,
        0.874601,
        0.829774,
        0.629022,
        0.92867,
        1.10896,
        1.3699,
        1.09694,
        1.38078,
        1.06612,
        1.76963,
        1.88755,
        0.757578,
        1.00378,
        0.833054,
        0.998364,
        1.02251,
        0.959865,
        1.11293,
        1.23368,
        0.936218,
        0.950893,
        0.873697,
        0.905352,
        0.843441,
        0.904697,
        0.92925,
        0.743724,
        0.934146,
        0.874866,
        0.652707,
        0.600973,
        0.833229,
        0.832219,
        0.821007,
        0.912968,
        0.883321,
        0.616505,
        0.805776,
        0.887987,
        0.82442,
        0.729477,
        0.389894,
        0.259983,
        0.333065,
        0.407384,
        0.495042,
        0.657272,
        0.607971,
        0.647745,
        0.693923,
        0.680608,
        0.825328,
        0.75384,
        0.834883,
        0.889367,
        0.804889,
        0.80084,
        0.777089,
        0.784422,
        0.808823,
        0.763465,
        0.873897,
        0.802878,
        0.804573,
        0.920039,
        0.97728,
        0.847594,
        0.81169,
        0.87468,
        0.931432,
        0.894503,
        0.863191,
        0.794445,
        0.846671,
        0.871254,
        0.781645,
        0.946144,
        0.985677,
        0.86807,
        0.804669,
        0.88524,
        0.898617,
        0.892781,
        0.879647,
        0.837687,
        0.912492,
        0.861362,
        0.749472,
        0.819953,
        0.843919,
        0.835906,
        0.905104,
        0.841388,
        0.814424,
        1.04219,
        0.938081,
        0.737172,
        0.864724,
        0.867208,
        0.993064,
        0.996554,
        1.0079,
        0.934191,
        0.86233,
        0.900833,
        0.873591,
        0.997184,
        0.789335,
        0.805882,
        0.910816,
        0.968657,
        0.97726,
        0.867725,
        0.870124,
        0.986617,
        0.946092,
        0.886285,
        0.783954,
        0.794244,
        0.902933,
        0.804166,
        0.844288,
        0.894754,
        0.852312,
        0.924791,
        0.806774,
        0.81764,
        0.86336,
        1.01566,
        0.904908,
        0.875319,
        0.989633,
        1.03225,
        1.06325,
        0.790626,
        0.805155,
        0.943495,
        0.972106,
        1.02065,
        0.939397,
        0.840448,
        0.906586,
        0.810633,
        0.804558,
        0.856321,
        0.837733,
        0.689697,
        0.675331,
        0.849827,
        0.887934,
        0.91124,
        0.846346,
        0.779133,
        0.841565,
        0.816651,
        0.931742,
        0.841639,
        0.967856,
        0.987008,
        0.962031,
        0.975264,
        1.00532,
        0.949111,
        0.824806,
        0.655415,
        0.673963,
        0.765818,
        0.752709,
        0.444164,
        0.712115,
        0.894888,
        0.826457,
        0.8939,
        0.949515,
        0.757632,
        0.915981,
        0.772929,
        0.876096,
        1.00073,
        0.934879,
        0.738526,
        0.832275,
        0.743159,
        0.791369,
        0.931916,
        0.896029,
        0.91928,
        0.6024,
        0.468113,
        0.957443,
        1.22392,
        0.982712,
        1.1077,
        0.523928,
        0.58652,
        0.928566,
        1.11398,
        0.979219,
        0.716382,
        0.684328,
        0.929312,
        0.971485,
        0.864907,
        0.722272,
        0.740934,
        0.736925,
        0.834637,
        0.882789,
        1.03761,
        0.794268,
        0.855089,
        0.944691,
        0.78573,
        0.753578,
        0.821542,
        0.848641,
        0.923765,
        0.812858,
        0.761434,
        0.738396,
        0.861877,
        0.89149,
        0.962376,
        0.748732,
        0.779005,
        0.870832,
        0.876561,
        0.93509,
        0.797286,
        0.90861,
        0.928041,
        0.804056,
        0.909889,
        0.924624,
        0.894601,
        0.919597,
        0.875212,
        0.855274,
        0.972043,
        0.925784,
        1.00132,
        0.816188,
        0.843068,
        0.888466,
        0.876651,
        0.830518,
        0.752472,
        0.744179,
        0.759219,
        0.737729,
        0.748375,
        0.831791,
        0.773948,
        0.797173,
        0.846703,
        0.821624,
        0.779646,
        0.847393,
        0.818166,
        0.771862,
        0.731406,
        0.748251,
        0.884635,
        0.829129,
        0.863687,
        0.91059,
        0.989429,
        0.993939,
        0.83976,
        0.736245,
        0.739789,
        0.737955,
        0.567874,
        0.699522,
        0.867628,
        0.894092,
        0.880722,
        0.830953,
        0.829406,
        0.8598,
        0.839685,
        0.983826,
        0.999802,
        0.854096,
        0.791319,
        0.830288,
        1.00619,
        1.01317,
        0.859949,
        0.856409,
        0.842512,
        0.939611,
        1.05676,
        0.922494,
        0.868826,
        0.897317,
        0.91712,
        0.907176,
        0.810546,
        0.910163,
        0.94303,
        0.76533,
        0.820863,
        0.91092,
        1.00793,
        0.844617,
        0.9079,
        0.812915,
        0.841382,
        0.888603,
        0.824423,
        0.830704,
        0.775962,
        0.785285,
        0.83411,
        0.897171,
        0.840494,
        0.799505,
        0.805732,
        0.883644,
        0.829444,
        0.748703,
        0.926782,
        0.859581,
        0.767748,
        0.846057,
        0.734008,
        0.833685,
        0.791715,
        0.808987,
        0.652763,
        0.708624,
        0.69574,
        0.871346,
        0.837606,
        0.874131,
        0.896834,
        0.863034,
        0.692369,
        0.759165,
        0.85097,
        0.877916,
        0.803429,
        0.761979,
        0.868737,
        0.837597,
        0.783106,
        0.874161,
        0.913773,
        0.796401,
        0.903579,
        0.884143,
        0.76322,
        0.892785,
        0.850982,
        0.948816,
        0.891179,
        0.824873,
        0.780785,
        0.815777,
        0.941643,
        0.918107,
        0.786951,
        0.711566,
        0.757691,
        0.929238,
        0.948765,
        0.876237,
        0.819404,
        0.788202,
        0.776298,
        0.72593,
        0.831604,
        0.879061,
        0.809386,
        0.81724,
        0.924811,
        0.808883,
        0.847187,
        0.914577,
        0.944744,
        0.864768,
        0.899677,
        0.814807,
        0.78045,
        0.864473,
        0.792358,
        0.741173,
        0.802161,
        0.660953,
        0.669377,
        0.732431,
        0.837368,
        0.698031,
        0.848695,
        0.89357,
        0.77949,
        0.732727,
        0.721602,
        0.73585,
        0.931839,
        0.855971,
        0.855703,
        0.87785,
        0.831462,
        0.721379,
        0.835159,
        0.923959,
        0.838966,
        0.946606,
        0.980199,
        0.977107,
        0.84562,
        0.70368,
        0.798033,
        0.848799,
        0.807076,
        0.719201,
        0.70921,
        0.891206,
        0.867815,
        0.809716,
        0.860723,
        0.901211,
        1.05793,
        0.994652,
        0.93117,
        0.859239,
        0.8911,
        0.845218,
        0.765034,
        0.77921,
        0.846475,
        0.890989,
        0.910342,
        0.815641,
        0.812345,
        0.759821,
        0.831852,
        0.846854,
        0.783919,
        0.689541,
        0.611662,
        0.729356,
        0.815724,
        0.751667,
        0.741629,
        0.896048,
        0.902781,
        0.81015,
        0.876709,
        0.981001,
        1.02013,
        0.946964,
        0.868394,
        0.772509,
        0.866721,
        0.973677,
        0.893774,
        0.833164,
        0.810455,
        0.810753,
        0.82075,
        0.961848,
        0.815076,
        0.844024,
        0.795169,
        0.746136,
        0.818507,
        0.939254,
        0.866448,
        0.829703,
        0.833802,
        0.854784,
        1.00544,
        0.990477,
        0.739612,
        0.808847,
        0.836422,
        0.856059,
        0.805302,
        0.848139,
        0.856031,
        0.891687,
        0.884348,
        0.923434,
        0.937901,
        0.91639,
        0.853516,
        0.846484,
        1.01001,
        0.931615,
        0.742597,
        0.88595,
        0.737146,
        0.834173,
        0.845643,
        0.886741,
        0.827018,
        0.624604,
        0.949841,
        0.846019,
        0.799036,
        0.752919,
        0.894001,
        0.880092,
        0.733662,
        0.901904,
        0.982957,
        0.845653,
        0.83729,
        0.89456,
        0.851502,
        0.762388,
        0.880844,
        0.995573,
        0.987055,
        0.891831,
        0.742816,
        0.690857,
        0.92916,
        0.792262,
        0.693938,
        0.866011,
        0.819017,
        0.83695,
        0.983997,
        0.887386,
        1.00436,
        0.867151,
        0.856957,
        0.950834,
        0.838332,
        0.871383,
        0.877409,
        0.816064,
        1.00689,
        0.991387,
        0.856298,
        1.07974,
        0.961756,
        0.834061,
        0.91655,
        0.866294,
        0.87392,
        0.722436,
        0.847522,
        0.926922,
        0.812525,
        0.833756,
        0.980976,
        0.769188,
        0.84928,
        0.969595,
        0.962865,
        0.790824,
        0.906866,
        0.924475,
        0.895322,
        0.953773,
        0.962818,
        1.00873,
        0.973268,
        0.829529,
        0.90345,
        0.965144,
        1.0285,
        0.976565,
        0.942496,
        0.796956,
        0.892016,
        1.01821,
        0.942777,
        0.808837,
        0.892756,
        0.941937,
        0.862649,
        0.944184,
        0.699265,
        0.661671,
        0.779907,
        0.859615,
        0.898275,
        0.924539,
        0.835273,
        0.833004,
        0.825783,
        0.861876,
        0.878504,
        0.953193,
        0.832266,
        0.811722,
        0.791449,
        0.815516,
        0.779698,
        0.883298,
        0.848806,
        0.759875,
        0.905123,
        0.893054,
        0.800051,
        0.955779,
        1.01304,
        0.907866,
        0.914204,
        0.946255,
        0.956659,
        0.857637,
        0.842491,
        0.874501,
        0.922633,
        0.858958,
        0.823586,
        0.923976,
        0.834887,
        0.95543,
        0.947843,
        0.866599,
        0.881045,
        0.825713,
        0.784849,
        0.856947,
        0.815621,
        0.917251,
        0.909863,
        0.926648,
        0.859935,
        0.834499,
        0.770827,
        0.718806,
        0.71716,
        0.838214,
        0.957917,
        1.01922,
        0.900656,
        0.844327,
        0.749134,
        0.70763,
        0.927342,
        0.871642,
        0.845496,
        0.849099,
        0.826864,
        0.785814,
        0.800301,
        0.777208,
        0.804949,
        0.905613,
        0.887108,
        0.793327,
        0.811541,
        0.874355,
        0.871996,
        0.885189,
        0.928781,
        0.88163,
        0.77854,
        0.765695,
        0.799006,
        0.824093,
        0.845468,
        0.856166,
        0.963483,
        0.834219,
        0.885093,
        0.874369,
        0.866656,
        0.75804,
        0.84795,
        1.05757,
        0.951629,
        0.70765,
        0.721171,
        0.838238,
        0.915892,
        0.89319,
        0.785392,
        0.869121,
        0.974797,
        0.877715,
        0.908784,
        0.94732,
        0.876709,
        0.818243,
        0.735526,
        0.810886,
        0.880883,
        0.763079,
        0.834031,
        0.828542,
        0.718304,
        0.907052,
        0.842511,
        0.75404,
        0.758545,
        0.828096,
        0.860233,
        0.875093,
        0.819239,
        0.772159,
        0.773946,
        0.835394,
        0.76884,
        0.741258,
        0.665147,
        0.805988,
        0.921544,
        0.861294,
        0.906257,
        0.968733,
        0.839532,
        0.804139,
        0.870944,
        0.859696,
        0.75725,
        0.708124,
        0.861536,
        0.859361,
        0.853448,
        0.900676,
        0.852928,
        0.886407,
        0.950544,
        0.820012,
        0.797359,
        0.839124,
        0.7903,
        0.875831,
        0.795714,
        0.872848,
        0.979386,
        0.972304,
        0.916037,
        0.802598,
        0.756627,
        0.927602,
        1.02151,
        0.878123,
        0.88687,
        0.931708,
        0.810482,
        0.911113,
        0.929003,
        0.746853,
        0.768509,
        0.877388,
        0.780875,
        0.76118,
        0.898053,
        0.840899,
        0.877297,
        0.951295,
        1.02928,
        0.958311,
        0.843893,
        0.994651,
        0.984194,
        0.860293,
        0.859788,
        0.755315,
        0.767873,
        0.89974,
        0.729678,
        0.605081,
        0.815662,
        0.91001,
        0.861345,
        0.794145,
        0.8203,
        0.91079,
        0.782166,
        0.837599,
        0.787149,
        0.584069,
        0.688523,
        0.775082,
        0.820215,
        0.796762,
        0.800053,
        0.769375,
        0.802409,
        0.727546,
        0.67555,
        0.878111,
        0.882874,
        0.979669,
        1.02456,
        0.986266,
        0.910575,
        0.923289,
        0.815331,
        0.875923,
        0.845161,
        0.886681,
        0.953151,
        0.83761,
        0.74814,
        0.860443,
        0.890724,
        0.780918,
        0.733055,
        0.839056,
        0.785005,
        0.835448,
        0.962209,
        1.17133,
        1.03421,
        0.883499,
        0.813012,
        1.00046,
        0.910569,
        0.839612,
        0.987448,
        0.803977,
        0.892755,
        0.829398,
        0.772288,
        0.789898,
        0.76913,
        0.825787,
        0.79587,
        0.743624,
        0.844969,
        0.808372,
        0.764045,
        0.789148,
        0.700112,
        0.81996,
        0.941598,
        0.847612,
        0.819507,
        0.875951,
        0.800283,
        0.827869,
        0.943739,
        0.861137,
        1.00807,
        0.97203,
        0.95496,
        0.970218,
        0.930427,
        0.907568,
        0.807577,
        0.801735,
        0.765539,
        0.929101,
        0.828339,
        0.723916,
        0.884506,
        0.895975,
        0.816979,
        0.942254,
        1.01889,
        0.989137,
        0.879597,
        0.786518,
        0.860435,
        0.967688,
        0.854222,
        0.748131,
        0.905752,
        0.822445,
        0.73525,
        0.793529,
        0.84341,
        0.781076,
        0.806444,
        0.845993,
        1.00279,
        0.86747,
        1.09243,
        0.903796,
        0.876361,
        0.955837,
        0.721545,
        0.622705,
        0.871164,
        0.938726,
        0.963156,
        0.963158,
        0.877925,
        0.941056,
        0.88893,
        0.911056,
        0.892576,
        0.907916,
        0.808559,
        0.530804,
        0.692447,
        0.841759,
        0.859912,
        0.854158,
        0.991169,
        1.04584,
        0.900808,
        0.908216,
        0.941471,
        0.867864,
        0.775989,
        0.657782,
        1.08977,
        0.706877,
        1.02861,
        2.45983,
        1.84326,
        0.952696,
        0.947594,
        0.935295,
        3.85762,
        1.47489,
        1.43435,
        0.96246,
        1.3621,
        0.719965,
        0.856931,
        1.1754,
        0.957604,
        1.01573,
        0.92203,
        0.857054,
        0.841826,
        0.842351,
        1.02399,
        0.872635,
        0.689447,
        0.47091,
        0.22163,
        0.347885,
        0.370828,
        0.646314,
        0.879118,
        0.795894,
        0.534847,
        0.774824,
        0.848319,
        0.776822,
        0.662415,
        0.877912,
        1.02598,
        0.954984,
        0.893455,
        0.86567,
        0.933358,
        0.953842,
        1.03195,
        0.937206,
        0.809335,
        0.759202,
        0.727586,
        0.810667,
        0.936024,
        0.814187,
        0.93749,
        0.916602,
        0.979242,
        1.02284,
        1.06957,
        0.965893,
        0.995993,
        0.83288,
        0.755276,
        0.959329,
        0.898233,
        0.919556,
        0.875589,
        0.896716,
        0.829627,
        0.872202,
        0.777813,
        0.688325,
        0.868606,
        0.959749,
        0.882998,
        0.998552,
        0.908025,
        0.999529,
        1.06057,
        1.09131,
        1.03387,
        0.827591,
        0.992098,
        1.01452,
        0.786936,
        0.932164,
        0.904525,
        0.860075,
        0.898975,
        0.92347,
        0.809231,
        0.841176,
        0.879104,
        0.869076,
        0.903431,
        0.921332,
        0.768697,
        0.821796,
        0.933829,
        0.831569,
        0.822491,
        0.856459,
        0.770878,
        0.720246,
        0.9079,
        0.740771,
        0.773194,
        1.0385,
        0.736192,
        0.920374,
        0.890766,
        0.825806,
        0.695556,
        0.845995,
        0.918362,
        1.02935,
        0.824398,
        0.826899,
        0.97617,
        0.816081,
        0.74673,
        0.904039,
        0.778744,
        0.901033,
        0.710869,
        0.76558,
        0.70444,
        0.933798,
        0.998013,
        1.03498,
        1.04492,
        0.949386,
        0.79803,
        0.579634,
        0.580841,
        0.763494,
        1.07398,
        1.00693,
        0.948715,
        0.841922,
        null,
        0.997388,
        1.09717,
        0.993452,
        0.873635,
        0.723185,
        0.608878,
        0.617713,
        0.808064,
        0.90426,
        0.806928,
        0.756134,
        0.640394,
        0.962415,
        0.973415,
        0.998695,
        0.951806,
        0.90938,
        0.764867,
        0.800046,
        0.717573,
        1.01802,
        0.962366,
        1.08327,
        0.908236,
        0.742392,
        0.715441,
        0.836484,
        0.718632,
        0.724736,
        0.874189,
        0.857713,
        0.701472,
        0.829649,
        0.728363,
        0.935228,
        0.918808,
        0.783885,
        0.689263,
        0.910897,
        0.935702,
        1.27302,
        0.878358,
        0.697609,
        0.697049,
        0.922563,
        1.13448,
        1.00916,
        0.96625,
        2.05226,
        5.24716,
        10.8432,
        2.20508,
        1.33319,
        1.40671,
        1.331,
        0.59444,
        1.33864,
        1.46407,
        0.560235,
        0.698922,
        1.04389,
        0.986719,
        0.674847,
        1.06127,
        1.14041,
        1.04295,
        0.855359,
        1.03403,
        0.846352,
        1.14717,
        0.928768,
        0.987314,
        0.811913,
        0.855195,
        0.843866,
        1.00078,
        0.785817,
        1.00059,
        0.893612,
        0.743439,
        1.10394,
        0.938957,
        0.789818,
        0.827257,
        0.828603,
        0.7904,
        0.720947,
        0.905297,
        0.74206,
        0.64204,
        0.672695,
        0.776499,
        0.761096,
        1.09774,
        0.745213,
        0.75681,
        1.04141,
        1.03288,
        0.990769,
        0.857454,
        1.02881,
        0.923789,
        1.15753,
        0.921624,
        0.595437,
        1.3494,
        1.11529,
        1.96908,
        0.541738,
        0.721579,
        1.03006,
        1.12906,
        0.786553,
        1.22181,
        1.05873,
        0.758115,
        1.05788,
        0.81586,
        0.910236,
        0.769372,
        1.03125,
        1.15554,
        0.870479,
        0.719266,
        0.877179,
        0.937927,
        0.749377,
        0.739827,
        0.951865,
        0.713723,
        0.578034,
        0.406067,
        0.555797,
        0.539837,
        0.338917,
        0.28524,
        0.427193,
        0.479827,
        0.65051,
        0.843945,
        0.818217,
        0.852108,
        0.709822,
        0.655014,
        0.815475,
        0.667335,
        0.808435,
        0.745445,
        0.814458,
        0.771693,
        0.826763,
        0.844979,
        0.878127,
        0.907645,
        0.970212,
        0.833113,
        0.841149,
        0.894809,
        0.929144,
        0.768638,
        0.993006,
        0.942653,
        0.702167,
        0.722789,
        0.823469,
        0.864974,
        0.837194,
        0.876568,
        0.91115,
        0.808378,
        0.915096,
        0.962901,
        1.00846,
        0.930316,
        0.795903,
        0.804651,
        0.848635,
        0.960212,
        0.895024,
        1.03302,
        0.995554,
        1.06609,
        0.909299,
        0.889667,
        0.758812,
        0.925507,
        0.876045,
        0.987121,
        0.982494,
        0.811439,
        0.815578,
        0.947365,
        0.879906,
        0.947185,
        0.788339,
        0.92235,
        0.901734,
        0.98378,
        0.948554,
        0.978422,
        0.869115,
        0.932965,
        0.854913,
        0.822508,
        0.884955,
        1.01722,
        0.871291,
        0.930193,
        0.959607,
        0.986588,
        0.946868,
        0.953919,
        1.06008,
        0.99603,
        0.887853,
        0.889448,
        0.829391,
        0.846726,
        0.856504,
        0.982092,
        0.709257,
        0.774291,
        0.890519,
        0.878902,
        0.649683,
        0.898543,
        0.901046,
        0.83102,
        0.74945,
        0.799206,
        0.900426,
        0.923241,
        0.902427,
        0.842076,
        0.959463,
        0.888118,
        0.924662,
        0.641243,
        0.72628,
        0.770425,
        0.763602,
        0.855616,
        0.823508,
        0.820859,
        0.689271,
        0.795835,
        0.936299,
        0.887394,
        0.823196,
        0.899403,
        0.873504,
        0.873481,
        0.781983,
        0.944532,
        0.799114,
        0.832775,
        0.749952,
        0.811748,
        0.73743,
        0.783716,
        0.897749,
        0.940744,
        0.889092,
        0.790437,
        0.688357,
        0.669349,
        0.619858,
        0.539836,
        0.450519,
        0.718502,
        0.793569,
        0.841941,
        0.740555,
        0.698098,
        0.811932,
        0.814079,
        0.674822,
        0.701314,
        0.777017,
        0.770267,
        0.84708,
        0.872088,
        0.845075,
        0.82144,
        0.74325,
        0.817455,
        0.731575,
        0.746089,
        0.691737,
        0.788948,
        0.737499,
        1.0083,
        0.92129,
        0.771285,
        0.828823,
        0.763382,
        0.764686,
        0.634321,
        0.782521,
        0.799388,
        0.898647,
        0.784068,
        0.774866,
        0.873917,
        0.956335,
        0.866958,
        0.940193,
        0.854648,
        0.881334,
        0.826148,
        0.807441,
        1.03355,
        0.95796,
        0.847905,
        0.924903,
        0.912546,
        0.821257,
        0.75755,
        0.89137,
        0.826553,
        0.758906,
        0.920803,
        0.838574,
        0.771905,
        0.971585,
        0.875909,
        0.750982,
        0.826084,
        0.837102,
        0.861491,
        0.847139,
        0.884753,
        0.961136,
        0.910632,
        0.890389,
        0.809659,
        0.83854,
        0.816809,
        0.874565,
        0.844633,
        0.839133,
        0.805164,
        0.999938,
        0.772879,
        0.685085,
        0.723562,
        0.889825,
        0.834038,
        0.831365,
        0.765249,
        0.695014,
        0.97976,
        0.992766,
        0.846898,
        0.750785,
        0.717749,
        0.833444,
        0.873082,
        0.923739,
        0.884905,
        0.967609,
        0.863528,
        0.928572,
        0.938573,
        0.947752,
        0.878227,
        0.899539,
        1.02054,
        0.949043,
        0.884368,
        0.821372,
        0.944476,
        0.876537,
        0.865816,
        0.922855,
        0.863368,
        0.832673,
        0.849157,
        0.819954,
        0.889559,
        0.971142,
        0.859569,
        0.868097,
        0.745999,
        0.874946,
        0.84749,
        0.905526,
        0.968453,
        0.965974,
        0.836068,
        0.79239,
        0.847687,
        0.766893,
        0.88751,
        0.736428,
        0.788363,
        0.853293,
        0.901726,
        0.819663,
        0.880473,
        0.812221,
        0.95063,
        0.931011,
        0.85978,
        0.815505,
        0.939907,
        0.913359,
        0.866376,
        0.89193,
        0.859016,
        0.88089,
        0.798973,
        0.777881,
        0.753221,
        0.807149,
        0.913534,
        0.914775,
        0.990186,
        0.877758,
        0.908879,
        0.87931,
        0.914868,
        0.99075,
        0.931336,
        0.805376,
        0.96897,
        0.730185,
        0.740714,
        0.805805,
        0.664176,
        0.591955,
        0.703438,
        0.65018,
        0.722488,
        0.757523,
        0.773352,
        0.862751,
        0.868593,
        0.877776,
        0.860696,
        0.763946,
        0.654783,
        0.840509,
        0.86977,
        0.920279,
        0.739459,
        0.811672,
        0.787366,
        0.762446,
        0.890298,
        0.88912,
        0.858493,
        0.714702,
        0.785399,
        0.922682,
        0.871369,
        0.794306,
        0.821041,
        0.783443,
        0.917223,
        0.906466,
        0.840862,
        0.797247,
        0.962011,
        0.859083,
        0.92942,
        0.958094,
        0.786831,
        0.786638,
        0.70928,
        0.784967,
        0.869744,
        0.877574,
        0.883263,
        0.924792,
        0.956462,
        0.904195,
        0.894151,
        0.796529,
        0.916339,
        0.901218,
        0.911768,
        0.896459,
        0.859959,
        0.76928,
        0.800271,
        0.860479,
        0.86813,
        0.715608,
        0.713684,
        0.820089,
        0.739978,
        0.719051,
        0.816052,
        0.89859,
        0.899843,
        0.953839,
        0.897706,
        0.901817,
        0.794743,
        0.708384,
        0.824905,
        0.837437,
        0.843308,
        0.920895,
        0.899844,
        0.853284,
        0.723672,
        0.785275,
        0.699453,
        0.820106,
        0.80553,
        0.856642,
        0.866483,
        0.680906,
        1.00025,
        0.890444,
        0.958163,
        0.741353,
        0.466417,
        0.975838,
        0.563486,
        0.835525,
        1.29461,
        0.825871,
        0.560534,
        0.842607,
        0.854339,
        1.07948,
        0.790569,
        0.883245,
        1.18736,
        0.718564,
        0.783125,
        0.864007,
        0.946778,
        0.722791,
        0.931281,
        0.889863,
        0.826407,
        1.00553,
        0.888614,
        0.674729,
        0.660087,
        0.670075,
        0.599466,
        0.640842,
        0.594389,
        0.496402,
        0.297963,
        0.28619,
        0.183531,
        0.251574,
        0.474345,
        0.526215,
        0.646858,
        0.67888,
        0.614702,
        0.723261,
        0.708827,
        0.704116,
        0.690079,
        0.836555,
        0.827819,
        0.822211,
        0.860495,
        0.705353,
        0.751002,
        0.840424,
        0.837287,
        0.936917,
        1.00537,
        1.02278,
        0.88032,
        0.703056,
        0.740425,
        0.894567,
        0.909847,
        0.973008,
        0.856961,
        0.784702,
        0.891343,
        0.923514,
        0.896016,
        0.81923,
        0.756631,
        0.966948,
        0.860622,
        0.85415,
        0.873783,
        0.886761,
        0.890255,
        0.920285,
        0.742326,
        0.905806,
        0.986818,
        0.788219,
        0.903992,
        0.916519,
        0.830716,
        0.975582,
        0.992436,
        0.987719,
        0.964442,
        0.905351,
        0.912724,
        0.863302,
        0.810169,
        0.852834,
        0.943811,
        1.05898,
        0.845286,
        0.855472,
        0.959276,
        0.850561,
        0.708777,
        0.776174,
        0.835532,
        0.809343,
        0.681163,
        0.610947,
        0.655504,
        0.692114,
        0.752059,
        0.791646,
        0.816817,
        0.911448,
        0.852394,
        0.952646,
        0.887335,
        0.826541,
        0.802864,
        0.803736,
        0.968883,
        0.968855,
        0.804501,
        0.828732,
        0.798903,
        0.839059,
        0.871147,
        0.839983,
        0.800033,
        0.82426,
        0.811868,
        0.799344,
        0.809879,
        0.877183,
        0.914577,
        0.926882,
        0.796575,
        0.830604,
        0.820201,
        0.929066,
        0.933411,
        0.957546,
        0.880751,
        0.964279,
        0.936355,
        0.846212,
        0.845499,
        0.881846,
        0.868746,
        0.870542,
        0.785831,
        0.912892,
        0.83384,
        0.955581,
        0.845169,
        0.75511,
        0.738797,
        0.930261,
        1.02039,
        0.926705,
        0.919678,
        0.965684,
        0.84914,
        0.756409,
        0.888554,
        0.810957,
        0.82862,
        0.68489,
        0.859294,
        0.938801,
        0.714554,
        0.78168,
        0.769343,
        0.875769,
        1.0556,
        0.96062,
        0.802373,
        0.99438,
        1.06224,
        0.795277,
        0.815467,
        0.759263,
        0.820616,
        0.815904,
        0.825643,
        0.887089,
        0.929402,
        0.870142,
        0.889111,
        0.831923,
        0.808584,
        0.772825,
        0.863639,
        0.816088,
        0.748098,
        0.773471,
        0.689852,
        0.765482,
        0.875631,
        0.8017,
        0.720026,
        0.742522,
        0.738235,
        0.718655,
        0.711816,
        0.887223,
        1.09018,
        0.803381,
        0.787168,
        0.995361,
        0.968151,
        0.872195,
        0.769872,
        0.968064,
        1.14484,
        1.00873,
        0.776843,
        0.916284,
        0.700504,
        0.612635,
        0.57362,
        0.489467,
        0.537797,
        0.845261,
        1.09978,
        1.24338,
        1.17258,
        1.13515,
        1.15198,
        1.41295,
        0.826344,
        0.842683,
        0.619131,
        1.58308,
        0.978098,
        0.414344,
        0.68479,
        0.831203,
        1.15753,
        0.928656,
        0.845915,
        0.876085,
        0.772237,
        0.893735,
        0.847437,
        1.22819,
        1.10883,
        1.12146,
        1.18586,
        1.01979,
        0.729142,
        0.844971,
        0.927853,
        0.977529,
        1.02063,
        0.800565,
        0.782248,
        1.03864,
        0.845484,
        0.890355,
        0.915763,
        0.703565,
        0.736457,
        1.2021,
        0.880708,
        0.905694,
        0.65836,
        0.851954,
        0.855303,
        0.89387,
        0.688003,
        0.926954,
        0.914489,
        0.945009,
        0.963543,
        0.887885,
        0.83888,
        0.774084,
        0.799002,
        1.03158,
        1.05594,
        0.837484,
        0.690187,
        0.613382,
        0.697627,
        0.897967,
        0.782241,
        0.841325,
        0.718235,
        0.89951,
        0.991141,
        0.944298,
        0.944534,
        0.79883,
        0.848859,
        0.821402,
        0.582616,
        0.784295,
        0.760716,
        0.880855,
        0.999732,
        0.691147,
        0.681477,
        0.764705,
        0.932816,
        0.863439,
        0.954145,
        0.926378,
        0.812377,
        0.819547,
        0.892719,
        0.934289,
        0.714297,
        0.628249,
        0.832496,
        0.690961,
        0.557082,
        0.890044,
        0.863755,
        0.832048,
        0.817472,
        0.878628,
        1.04718,
        1.02464,
        0.918565,
        0.912872,
        0.91386,
        0.774026,
        0.805649,
        0.775732,
        0.773266,
        0.785646,
        0.871256,
        0.98795,
        0.701081,
        0.629148,
        0.76493,
        0.856341,
        0.945191,
        0.936304,
        0.824126,
        0.947617,
        1.02775,
        0.915684,
        0.916683,
        0.947326,
        0.903485,
        0.779552,
        0.664864,
        0.762953,
        0.874479,
        1.0357,
        0.846149,
        0.83652,
        0.870262,
        0.987354,
        0.789709,
        0.781022,
        0.722901,
        0.774391,
        0.7316,
        0.74549,
        0.877463,
        0.896147,
        0.961156,
        0.90178,
        0.798347,
        0.835135,
        0.782582,
        0.743986,
        0.940392,
        0.849818,
        0.963692,
        0.934766,
        0.95286,
        0.924319,
        0.905264,
        0.771959,
        0.733785,
        0.964211,
        0.791703,
        0.86415,
        0.81323,
        0.845688,
        0.759993,
        0.830043,
        0.847428,
        0.947136,
        0.882231,
        0.782354,
        0.737168,
        0.806569,
        0.865044,
        0.896078,
        0.79082,
        0.812491,
        0.939182,
        0.990419,
        0.812888,
        0.707027,
        0.885786,
        0.853146,
        0.796579,
        0.803135,
        0.974771,
        0.955493,
        0.910474,
        0.915854,
        0.733414,
        0.846475,
        0.771283,
        0.950138,
        0.746267,
        0.680156,
        0.813888,
        1.00625,
        0.839465,
        0.923011,
        0.893215,
        0.892458,
        0.864698,
        0.832757,
        0.846431,
        0.795253,
        0.820097,
        0.962509,
        1.02033,
        0.99796,
        0.880713,
        1.1981,
        1.35303,
        0.853547,
        1.04931,
        0.97672,
        0.908518,
        0.832687,
        0.876083,
        1.06315,
        1.12557,
        0.940071,
        0.936148,
        1.33424,
        1.00358,
        1.45926,
        2.00786,
        1.99756,
        4.14198,
        3.71908,
        1.63231,
        1.50846,
        1.61653,
        1.3296,
        1.37999,
        0.916611,
        0.88964,
        1.00573,
        1.01852,
        1.11523,
        1.07237,
        1.01082,
        0.733434,
        0.996436,
        0.907752,
        0.787556,
        1.01262,
        1.05609,
        1.02116,
        0.855065,
        0.937402,
        0.817679,
        0.72816,
        0.659848,
        0.489753,
        0.711853,
        0.492162,
        0.173092,
        0.465559,
        0.504491,
        0.58294,
        0.475431,
        0.596355,
        0.673884,
        0.860518,
        0.685053,
        0.583131,
        0.505362,
        0.621363,
        0.781672,
        0.80921,
        0.754032,
        0.922449,
        0.957706,
        0.798617,
        0.819933,
        0.756,
        0.782343,
        0.805722,
        0.716811,
        0.87878,
        0.874101,
        0.845895,
        0.960217,
        0.900938,
        0.882399,
        0.831293,
        0.932425,
        0.846622,
        0.725029,
        0.756156,
        0.755382,
        0.954031,
        0.818831,
        1.00024,
        0.91237,
        0.907403,
        0.793168,
        0.90691,
        0.99237,
        0.851533,
        0.975511,
        0.855809,
        0.697385,
        0.669327,
        0.780131,
        0.968761,
        0.786409,
        0.83931,
        1.0696,
        0.872208,
        0.916412,
        0.901866,
        0.822641,
        0.962761,
        0.961446,
        0.905773,
        0.851716,
        0.840106,
        0.840003,
        0.839024,
        0.891271,
        0.8809,
        0.833063,
        0.868172,
        0.905196,
        0.867544,
        0.742489,
        0.777426,
        0.827618,
        0.852149,
        0.867347,
        0.79612,
        0.668633,
        0.797231,
        0.812354,
        0.869956,
        0.934558,
        0.990021,
        0.776462,
        0.683128,
        0.805617,
        0.83887,
        0.77097,
        0.972299,
        0.881449,
        0.801873,
        0.924812,
        0.880704,
        0.75036,
        0.771097,
        0.714017,
        0.881132,
        0.883633,
        0.875233,
        0.967993,
        0.890356,
        0.817143,
        0.965846,
        0.823434,
        0.781597,
        0.671941,
        0.788215,
        0.910826,
        0.771176,
        0.713244,
        0.779453,
        0.674299,
        0.855737,
        0.845805,
        0.901868,
        0.825571,
        0.873587,
        0.839332,
        0.84632,
        1.02055,
        0.924033,
        0.95162,
        0.871784,
        0.787597,
        0.801563,
        0.801563,
        0.871079,
        0.8407,
        0.787204,
        0.855595,
        0.909842,
        0.827915,
        0.814606,
        1.14251,
        0.927065,
        0.73747,
        0.708119,
        0.740704,
        0.741321,
        0.720285,
        0.648929,
        0.8453,
        0.773726,
        0.755718,
        0.889133,
        0.87905,
        0.847171,
        0.747188,
        0.808244,
        0.923697,
        0.969202,
        0.954939,
        1.06784,
        1.06409,
        0.60151,
        0.578949,
        0.680967,
        0.857994,
        0.935907,
        0.785249,
        0.806532,
        0.664765,
        0.786732,
        0.848077,
        0.818076,
        0.596973,
        0.686156,
        0.91551,
        1.09749,
        0.815785,
        0.781958,
        0.781684,
        0.980873,
        0.89916,
        0.683668,
        0.905542,
        0.712907,
        0.694687,
        0.713904,
        0.714456,
        0.669699,
        0.751686,
        0.97892,
        0.853803,
        0.698351,
        0.874427,
        0.884459,
        0.930231,
        0.860997,
        0.839883,
        0.820542,
        0.866552,
        1.11281,
        0.886678,
        0.855377,
        0.868256,
        0.814089,
        0.857064,
        0.914126,
        0.852653,
        0.89534,
        0.881594,
        0.922495,
        0.833313,
        0.833669,
        0.759468,
        0.752717,
        0.947928,
        0.857631,
        0.870429,
        0.944955,
        0.774772,
        0.976307,
        0.864678,
        0.83173,
        0.80456,
        0.812122,
        0.770267,
        0.722282,
        0.826806,
        0.882845,
        0.890377,
        0.830354,
        0.872379,
        1.02413,
        0.91084,
        1.0871,
        0.754755,
        0.683652,
        0.852747,
        0.863045,
        0.887167,
        1.04663,
        0.852901,
        0.90254,
        0.91843,
        0.785748,
        0.899065,
        0.915395,
        0.895564,
        0.830526,
        0.852869,
        0.792582,
        0.836516,
        0.942077,
        0.811945,
        0.891792,
        0.920395,
        1.01104,
        0.976998,
        1.07775,
        0.979811,
        0.791187,
        0.776979,
        0.738344,
        0.866675,
        0.842099,
        0.851581,
        0.834199,
        0.941821,
        1.05183,
        0.970213,
        0.811254,
        0.635448,
        0.692206,
        1.20733,
        0.796588,
        0.620937,
        0.660809,
        0.648698,
        0.492662,
        0.797263,
        0.70745,
        0.720929,
        0.766602,
        0.93551,
        0.782606,
        0.927689,
        0.808369,
        0.771426,
        0.734579,
        0.892297,
        0.984663,
        1.01836,
        1.0102,
        0.795292,
        0.982787,
        1.08699,
        1.89867,
        1.30585,
        0.733561,
        0.533818,
        0.940279,
        1.11089,
        1.02265,
        0.75705,
        0.761626,
        0.608669,
        0.796336,
        0.76703,
        0.734117,
        0.695009,
        0.598002,
        0.700936,
        0.722818,
        0.709486,
        0.720966,
        0.944382,
        0.812631,
        0.708666,
        0.593833,
        0.813081,
        0.851716,
        0.856828,
        0.990626,
        0.788581,
        0.888026,
        0.611907,
        0.886208,
        0.941801,
        0.694845,
        0.800593,
        0.716931,
        0.693605,
        0.75075,
        0.665136,
        1.08003,
        1.02517,
        0.72345,
        0.581604,
        0.66586,
        0.724868,
        0.765707,
        0.815491,
        0.938951,
        0.878258,
        0.913018,
        0.770431,
        0.612088,
        0.627161,
        0.857803,
        0.87546,
        1.03368,
        1.01647,
        0.688553,
        0.878521,
        0.959232,
        0.565418,
        0.859713,
        0.909129,
        0.83174,
        0.704923,
        0.88884,
        0.817926,
        1.17598,
        0.848546,
        0.914315,
        1.1308,
        0.641212,
        1.16072,
        1.14565,
        0.704911,
        1.2374,
        1.38317,
        1.4646,
        1.05248,
        0.873194,
        0.848441,
        0.885958,
        0.695594,
        0.939579,
        0.938869,
        1.0115,
        0.784759,
        0.931585,
        0.719984,
        1.09699,
        1.11936,
        1.10104,
        0.812267,
        0.789435,
        0.864248,
        0.891524,
        1.0382,
        0.903751,
        0.8643,
        0.873606,
        0.729045,
        0.730125,
        0.799094,
        0.449813,
        0.493092,
        0.712325,
        0.731166,
        0.746475,
        0.734212,
        0.990806,
        0.949365,
        0.918308,
        0.863683,
        0.919824,
        0.897209,
        0.842079,
        0.980326,
        0.715776,
        0.636616,
        0.877897,
        0.95693,
        0.712631,
        0.753602,
        1.00427,
        1.05016,
        0.916481,
        0.857754,
        0.994485,
        1.00387,
        0.852494,
        1.02298,
        1.01483,
        1.09465,
        0.887469,
        1.1635,
        10.5354,
        2.46911,
        3.5462,
        2.21462,
        2.20018,
        1.53102,
        1.75522,
        0.75001,
        0.87367,
        1.02733,
        1.00434,
        1.17947,
        1.16209,
        0.8787,
        1.16995,
        1.14436,
        1.0466,
        0.768279,
        0.771663,
        0.918111,
        1.07151,
        0.847086,
        0.901743,
        1.11759,
        0.814856,
        0.824853,
        0.819466,
        0.681895,
        0.427198,
        0.396309,
        0.385555,
        0.159027,
        0.191473,
        0.351741,
        0.437518,
        0.71735,
        0.894041,
        0.824573,
        0.575067,
        0.618954,
        0.648927,
        0.701698,
        0.819686,
        0.72136,
        0.876728,
        0.940199,
        0.860513,
        0.610259,
        0.66159,
        0.757082,
        0.67892,
        0.710495,
        0.861609,
        0.925282,
        0.832978,
        0.802601,
        0.859658,
        1.05939,
        0.895396,
        0.76911,
        1.04683,
        0.737931,
        0.856393,
        0.92581,
        0.878231,
        1.0246,
        0.867853,
        0.954528,
        1.02019,
        0.844634,
        1.02021,
        1.05743,
        1.22635,
        0.978335,
        1.23694,
        0.938808,
        0.861839,
        1.08772,
        0.951338,
        1.12533,
        0.855651,
        0.698223,
        0.811954,
        0.961244,
        0.93422,
        1.02443,
        0.99226,
        0.938885,
        0.852666,
        0.910702,
        0.938889,
        0.691536,
        0.755457,
        0.852171,
        0.994785,
        1.0984,
        1.06283,
        0.927091,
        0.878487,
        0.835657,
        0.849798,
        0.758907,
        0.797251,
        0.93312,
        0.910234,
        0.907579,
        0.724612,
        0.873438,
        0.877473,
        0.876417,
        0.812046,
        0.795127,
        0.761824,
        0.808138,
        0.977391,
        0.974632,
        1.11704,
        0.902472,
        0.734343,
        0.93926,
        0.976237,
        0.971902,
        0.89832,
        1.04936,
        1.02795,
        0.93862,
        0.950038,
        0.902616,
        0.882285,
        0.802238,
        0.850749,
        0.982073,
        0.921756,
        0.790302,
        0.886702,
        0.756603,
        0.898396,
        1.02973,
        1.12124,
        1.08485,
        0.736423,
        0.774931,
        0.784309,
        0.85701,
        0.794096,
        0.816674,
        0.75731,
        0.725533,
        0.775917,
        0.753305,
        0.824477,
        0.829382,
        0.611024,
        0.773549,
        0.923193,
        0.845007,
        0.740974,
        0.90626,
        1.0133,
        0.925201,
        0.920243,
        1.02443,
        0.889831,
        0.950818,
        0.868967,
        0.848377,
        0.907461,
        0.756052,
        0.797777,
        0.909525,
        0.941784,
        0.885832,
        0.887897,
        0.927561,
        0.823888,
        0.79175,
        0.741619,
        0.800116,
        0.931217,
        0.835509,
        0.764481,
        0.781,
        0.821355,
        0.750757,
        0.75515,
        0.701454,
        0.637579,
        0.596899,
        0.654293,
        0.816754,
        0.828019,
        0.906559,
        0.81722,
        1.04504,
        1.01901,
        1.01684,
        0.874679,
        0.940077,
        0.900568,
        0.759627,
        0.893426,
        0.948857,
        0.780236,
        0.635333,
        0.773149,
        0.844209,
        0.863761,
        0.780274,
        0.763164,
        0.809214,
        0.673842,
        0.908616,
        1.0214,
        0.824085,
        0.976035,
        1.21068,
        1.1614,
        0.73256,
        0.697243,
        0.934497,
        0.811199,
        0.716873,
        0.728303,
        0.776911,
        0.931868,
        0.82044,
        0.871674,
        0.912028,
        0.870658,
        0.798185,
        0.993787,
        1.03504,
        0.84157,
        1.1417,
        1.0214,
        0.869037,
        0.714535,
        0.643761,
        0.680279,
        0.748981,
        0.830872,
        1.01476,
        0.724984,
        0.58673,
        0.88008,
        0.913643,
        0.746657,
        1.03275,
        0.99746,
        0.702155,
        0.872466,
        0.996239,
        1.1022,
        1.42272,
        0.924887,
        0.844545,
        1.15685,
        1.20984,
        0.766169,
        0.764336,
        1.00194,
        0.843099,
        0.844342,
        0.992802,
        0.956276,
        0.954123,
        0.815924,
        0.861314,
        0.814588,
        0.666956,
        0.723632,
        0.676217,
        0.777473,
        0.977016,
        0.988248,
        0.760106,
        0.62167,
        0.892714,
        0.927474,
        0.687439,
        0.811223,
        0.954749,
        0.790048,
        0.870523,
        1.03013,
        1.09469,
        1.08593,
        0.736443,
        0.42391,
        0.974066,
        0.566407,
        0.642029,
        1.2791,
        1.06723,
        1.31936,
        0.743951,
        0.6396,
        0.718274,
        0.79979,
        0.841432,
        1.0006,
        0.949433,
        0.700915,
        0.728624,
        0.865938,
        1.08843,
        0.686617,
        0.69106,
        0.710363,
        0.689055,
        0.899091,
        0.74198,
        0.582881,
        0.864869,
        0.898774,
        0.81621,
        0.720361,
        0.683948,
        0.775292,
        0.77114,
        0.67094,
        0.673319,
        0.886578,
        0.936467,
        0.802322,
        0.910534,
        0.880646,
        1.00629,
        0.945757,
        0.924838,
        0.844858,
        0.945224,
        0.903138,
        0.984066,
        0.973378,
        0.909126,
        0.952149,
        0.847142,
        0.890551,
        0.97147,
        0.797099,
        0.821608,
        0.818591,
        0.766296,
        0.960818,
        0.951949,
        0.915851,
        0.977207,
        1.07394,
        0.905712,
        0.78534,
        0.898712,
        0.822342,
        0.932056,
        0.996542,
        0.911233,
        0.857227,
        0.950844,
        1.02222,
        0.966495,
        0.817634,
        0.878224,
        0.752037,
        0.787767,
        1.04158,
        1.03551,
        0.96584,
        1.03246,
        1.21746,
        1.05673,
        0.786267,
        0.728414,
        0.888549,
        0.696932,
        0.823201,
        0.739518,
        0.759749,
        0.638926,
        0.434653,
        0.49012,
        0.6926,
        0.735925,
        0.800769,
        0.834598,
        0.725233,
        0.736824,
        0.835143,
        1.12107,
        0.913379,
        0.778977,
        0.802276,
        0.844506,
        0.903038,
        0.974981,
        1.05968,
        0.941363,
        0.98069,
        0.826341,
        1.05874,
        1.22823,
        1.00516,
        0.950032,
        0.659762,
        0.819945,
        1.02378,
        1.00506,
        0.837684,
        0.864554,
        0.772889,
        0.825708,
        0.906748,
        0.706594,
        0.733865,
        1.00023,
        0.885526,
        0.840621,
        0.94077,
        0.844506,
        0.999468,
        0.822746,
        0.71532,
        0.933751,
        1.05264,
        0.929483,
        0.962669,
        0.910447,
        0.911899,
        0.81781,
        0.811146,
        0.796328,
        0.885685,
        0.931866,
        0.933859,
        0.590336,
        0.436541,
        0.373507,
        0.49989,
        0.845908,
        0.803712,
        0.798111,
        0.678096,
        0.825584,
        0.814177,
        0.824486,
        0.699391,
        0.94667,
        1.00968,
        1.14982,
        0.925726,
        0.779909,
        0.500735,
        0.399531,
        0.819072,
        0.87107,
        0.897824,
        0.956011,
        0.928921,
        1.10789,
        0.794575,
        0.861314,
        0.732743,
        0.757274,
        0.913499,
        0.869024,
        0.736021,
        0.89062,
        0.569066,
        0.628222,
        0.745324,
        0.847582,
        1.06804,
        0.852999,
        0.687936,
        0.747974,
        0.993324,
        0.71659,
        0.801774,
        1.08039,
        0.744493,
        0.723893,
        1.60417,
        2.26151,
        2.99226,
        2.27225,
        0.858622,
        1.35218,
        0.882411,
        1.05345,
        1.26907,
        1.01157,
        0.747118,
        0.954798,
        0.691675,
        0.62789,
        1.03485,
        1.24447,
        1.1146,
        0.851051,
        1.23348,
        0.607326,
        0.653163,
        0.669864,
        0.542247,
        0.483434,
        0.692048,
        0.491713,
        0.309547,
        0.21443,
        0.395595,
        0.533171,
        0.368937,
        0.38426,
        0.433837,
        0.528939,
        0.77386,
        0.736074,
        0.466011,
        0.940617,
        1.37992,
        1.27518,
        0.622164,
        0.415659,
        0.734148,
        1.09832,
        0.677625,
        0.819741,
        0.791799,
        0.866832,
        0.756594,
        0.799558,
        0.843047,
        0.724447,
        0.728151,
        1.08496,
        0.803201,
        1.02,
        0.821615,
        0.9375,
        0.758544,
        0.912168,
        1.08111,
        0.909495,
        0.785629,
        1.00717,
        0.830127,
        0.832956,
        1.00944,
        1.0619,
        null,
        0.961075,
        0.6766,
        0.826449,
        0.903681,
        0.671689,
        1.01207,
        0.932307,
        0.975046,
        0.946138,
        0.766484,
        0.917851,
        0.680703,
        0.770666,
        0.559702,
        0.570923,
        0.704585,
        0.728143,
        0.518549,
        0.631044,
        0.5323,
        0.615936,
        0.715513,
        0.860445,
        0.761868,
        0.77737,
        1.01407,
        0.686345,
        0.734046,
        0.864307,
        0.936464,
        0.869936,
        0.723478,
        0.934927,
        0.932746,
        0.969106,
        0.788115,
        1.18742,
        0.940026,
        0.992612,
        0.883555,
        0.971359,
        0.867213,
        1.02904,
        0.963188,
        0.774129,
        0.718706,
        0.820994,
        0.879289,
        0.803726,
        0.761093,
        0.802307,
        0.963432,
        1.00076,
        0.941459,
        0.803491,
        0.834041,
        0.916804,
        1.11837,
        0.964627,
        0.770741,
        0.676307,
        0.727511,
        0.672268,
        0.885695,
        1.0866,
        1.00097,
        0.710045,
        0.589548,
        0.569709,
        0.578897,
        0.752973,
        1.13078,
        0.644743,
        0.690022,
        0.543139,
        0.564749,
        0.820504,
        0.793059,
        0.793655,
        0.659804,
        0.655951,
        0.759692,
        0.620632,
        0.75905,
        0.932001,
        0.868684,
        0.616808,
        1.00976,
        0.740661,
        0.828401,
        0.899757,
        0.694531,
        0.842152,
        0.922861,
        1.11192,
        0.790729,
        0.932099,
        0.975373,
        0.826525,
        0.492324,
        0.675036,
        0.573389,
        1.05401,
        0.998163,
        0.772813,
        0.90301,
        0.851025,
        0.914005,
        0.978274,
        0.774178,
        0.685213,
        1.04278,
        0.724682,
        0.596478,
        0.791159,
        1.06043,
        1.10116,
        1.1007,
        0.961308,
        0.783559,
        0.67532,
        0.738973,
        0.75785,
        0.723153,
        0.882339,
        0.876267,
        0.99134,
        0.80887,
        0.907937,
        0.930362,
        1.16249,
        0.904062,
        1.01909,
        0.914462,
        0.908728,
        0.758297,
        0.73003,
        0.725707,
        0.810909,
        0.662592,
        0.846159,
        0.913674,
        1.00242,
        0.725642,
        0.673492,
        0.660918,
        0.797853,
        0.719398,
        0.841683,
        0.893579,
        0.919738,
        0.838432,
        0.948796,
        0.854518,
        0.991602,
        0.805325,
        0.832705,
        0.939463,
        1.12069,
        0.949032,
        1.06863,
        0.853328,
        0.767851,
        0.580058,
        1.12526,
        0.951307,
        0.883635,
        0.622295,
        1.08022,
        1.2248,
        1.39727,
        1.46053,
        1.25486,
        1.09429,
        1.64521,
        0.929338,
        2.62165,
        0.921557,
        0.957631,
        0.94436,
        0.848416,
        0.452498,
        0.566764,
        0.82494,
        1.35119,
        0.811515,
        1.00082,
        0.797721,
        0.981441,
        1.20249,
        0.932444,
        0.826804,
        0.879512,
        0.708653,
        0.42514,
        0.676713,
        0.469411,
        0.375792,
        0.353629,
        0.295546,
        0.271076,
        0.291867,
        0.518685,
        0.453007,
        0.469841,
        0.702083,
        0.855758,
        0.795517,
        0.677495,
        0.719726,
        0.84353,
        0.697155,
        0.657502,
        0.713759,
        0.936581,
        1.10433,
        1.20459,
        0.951664,
        1.12709,
        0.47908,
        1.05159,
        1.07286,
        1.85582,
        0.628545,
        1.08426,
        1.07773,
        1.02493,
        0.988218,
        0.935193,
        1.17345,
        1.13308,
        0.90684,
        0.649725,
        0.70176,
        0.481071,
        0.742546,
        1.0145,
        0.942958,
        0.925369,
        0.627572,
        0.683087,
        1.03257,
        0.875262,
        0.489628,
        0.532519,
        0.683502,
        0.896736,
        0.843521,
        0.602738,
        0.809846,
        0.580588,
        0.699679,
        0.602835,
        0.771616,
        0.901093,
        1.10139,
        0.985086,
        0.792929,
        0.840912,
        0.534974,
        0.929545,
        0.934629,
        0.990442,
        1.06456,
        0.664666,
        0.62001,
        0.7098,
        0.937364,
        0.854861,
        0.860704,
        1.44085,
        2.53647,
        1.88485,
        1.32637,
        0.994883,
        1.01467,
        0.32389,
        0.595533,
        1.03693,
        0.811761,
        0.670545,
        0.769918,
        0.95134,
        0.729646,
        0.608238,
        0.956424,
        1.03796,
        1.03929,
        0.989213,
        0.952671,
        0.799989,
        0.770661,
        0.677871,
        0.872079,
        0.839016,
        0.703515,
        0.904076,
        0.742246,
        0.755839,
        0.774523,
        0.865221,
        0.905124,
        0.96802,
        0.758791,
        0.874878,
        0.913824,
        0.865692,
        0.870463,
        0.823171,
        0.710536,
        0.859555,
        1.09117,
        1.02797,
        0.70221,
        0.758807,
        0.835582,
        0.90381,
        0.88691,
        1.04623,
        0.651095,
        0.63346,
        0.839211,
        0.814004,
        0.852522,
        0.834216,
        0.879767,
        0.895827,
        0.725876,
        0.759169,
        0.838219,
        0.81718,
        1.09382,
        0.889524,
        1.02563,
        0.923622,
        0.754338,
        0.766843,
        0.923974,
        0.920886,
        0.972567,
        0.846337,
        0.851205,
        0.775531,
        0.869001,
        0.893287,
        0.779144,
        0.708559,
        0.726348,
        0.678744,
        0.624388,
        0.723512,
        0.608754,
        0.549832,
        0.735833,
        0.734916,
        0.641363,
        0.685694,
        0.785825,
        0.686182,
        0.842104,
        0.906264,
        0.861406,
        0.837794,
        0.758906,
        0.635676,
        0.746201,
        0.853685,
        0.782779,
        0.891366,
        0.883704,
        0.897755,
        0.860758,
        0.820537,
        0.786591,
        0.864003,
        0.883194,
        0.880581,
        0.878847,
        0.833178,
        0.869033,
        0.905173,
        1.0212,
        0.712654,
        0.87657,
        0.923109,
        1.04677,
        0.920166,
        0.766892,
        0.849377,
        0.81206,
        0.742109,
        0.76511,
        0.799075,
        0.705216,
        0.730827,
        0.76567,
        0.797269,
        0.849835,
        0.817788,
        0.842871,
        0.946514,
        0.795193,
        0.944684,
        0.95681,
        0.860021,
        0.834035,
        0.925952,
        0.82014,
        0.730357,
        0.811833,
        0.816923,
        0.772053,
        0.76344,
        0.803478,
        0.850866,
        0.714151,
        0.801669,
        0.848723,
        0.702492,
        0.810053,
        0.755251,
        0.903464,
        0.876916,
        0.792361,
        0.831969,
        0.778744,
        0.883757,
        0.928699,
        0.948128,
        0.906837,
        0.993974,
        0.963831,
        0.915107,
        1.09456,
        0.950442,
        0.840917,
        1.0228,
        0.928253,
        0.775574,
        1.01392,
        0.840244,
        0.919552,
        0.971054,
        0.839749,
        0.820079,
        0.926145,
        0.791752,
        0.815974,
        0.946822,
        0.986887,
        0.86216,
        0.829766,
        1.02214,
        0.972843,
        0.931887,
        0.895816,
        0.850326,
        0.747107,
        0.878536,
        0.921794,
        0.81918,
        0.767264,
        0.868272,
        0.806128,
        0.796049,
        0.793696,
        0.671549,
        0.930471,
        0.896955,
        0.858914,
        0.898469,
        0.993321,
        0.893788,
        0.79433,
        0.845125,
        0.803421,
        0.820648,
        0.754004,
        0.858414,
        1.00577,
        0.938744,
        0.914476,
        0.947092,
        0.833842,
        0.824388,
        0.761614,
        0.830506,
        0.794764,
        0.821797,
        0.797849,
        0.770496,
        0.779113,
        0.756153,
        0.855004,
        0.90733,
        0.819322,
        0.99439,
        1.10004,
        0.936965,
        0.788167,
        0.762701,
        0.928422,
        0.897479,
        0.84779,
        0.788475,
        0.747677,
        0.809671,
        0.844471,
        0.801577,
        0.93751,
        0.879663,
        0.935637,
        0.823241,
        0.820176,
        0.912457,
        0.891978,
        0.839582,
        0.828902,
        0.742816,
        0.799658,
        0.751523,
        0.873535,
        0.843784,
        0.806857,
        0.751234,
        0.720395,
        0.820846,
        0.989623,
        0.908963,
        0.883899,
        0.891336,
        0.869698,
        0.797761,
        0.948164,
        0.733766,
        0.789621,
        0.998227,
        0.939142,
        0.876354,
        0.797196,
        0.772457,
        0.958837,
        0.954573,
        0.761365,
        0.765016,
        0.967815,
        0.747226,
        0.740951,
        0.8627,
        0.828465,
        0.82405,
        0.789061,
        0.988967,
        1.01071,
        0.840138,
        0.930488,
        0.867612,
        0.871341,
        1.03999,
        0.881333,
        1.04879,
        1.14494,
        1.00437,
        1.01169,
        0.979317,
        0.970889,
        0.951311,
        0.950728,
        0.972919,
        0.972973,
        1.06422,
        1.00447,
        1.00075,
        0.942496,
        1.0168,
        1.11737,
        0.692764,
        0.474685,
        0.857709,
        0.637619,
        0.760809,
        1.8389,
        1.65667,
        1.87221,
        1.22829,
        0.828997,
        1.19342,
        0.941075,
        0.76443,
        1.02298,
        1.00155,
        1.02234,
        0.962752,
        0.749851,
        0.581683,
        0.702206,
        0.927474,
        0.878526,
        1.11591,
        1.1843,
        1.01582,
        0.878798,
        0.759495,
        0.67933,
        0.656631,
        0.579629,
        0.524516,
        0.306873,
        0.360348,
        0.246437,
        0.335176,
        0.225333,
        0.325157,
        0.474356,
        0.587822,
        0.672683,
        0.711749,
        0.563509,
        0.710779,
        0.780017,
        0.704364,
        0.851792,
        0.837086,
        0.673222,
        0.671228,
        0.771491,
        0.917892,
        0.830519,
        0.815717,
        0.942176,
        0.80602,
        0.782654,
        0.912404,
        0.860487,
        0.861738,
        0.808579,
        0.929276,
        0.936999,
        0.823688,
        0.870929,
        0.859082,
        0.872034,
        0.858488,
        0.791683,
        0.792572,
        0.867431,
        0.889155,
        0.803329,
        0.846084,
        0.985389,
        1.07072,
        0.814024,
        0.730915,
        0.896435,
        0.967525,
        0.878745,
        0.875648,
        0.901103,
        0.895821,
        0.928048,
        0.92575,
        0.816036,
        0.829992,
        0.887145,
        0.697991,
        0.766325,
        0.803858,
        0.927098,
        0.989563,
        0.83702,
        0.817757,
        0.879469,
        0.771267,
        0.635026,
        0.836616,
        1.05449,
        0.913575,
        0.739966,
        0.727542,
        0.810131,
        0.797732,
        0.749292,
        0.776232,
        0.844208,
        0.808548,
        0.680738,
        0.834284,
        0.80379,
        0.822576,
        0.709651,
        0.778148,
        0.878968,
        0.724777,
        0.839423,
        0.920642,
        0.879727,
        0.923927,
        0.867592,
        0.774188,
        0.826598,
        0.838479,
        0.862713,
        0.800312,
        0.833909,
        0.77222,
        0.740597,
        0.778504,
        0.681785,
        0.719178,
        0.688436,
        0.788389,
        0.866066,
        0.613668,
        0.738044,
        0.888819,
        0.860872,
        0.996368,
        0.999828,
        1.05493,
        0.741299,
        0.670078,
        0.890049,
        0.872484,
        0.78471,
        0.58654,
        0.926591,
        0.891436,
        1.23595,
        1.30212,
        1.29442,
        0.821229,
        0.836583,
        0.783367,
        0.76611,
        0.681016,
        0.669603,
        0.584436,
        0.728255,
        0.808425,
        0.697517,
        0.803884,
        0.959775,
        0.932531,
        0.856785,
        0.739363,
        0.793604,
        0.857956,
        0.905499,
        0.910516,
        0.900425,
        0.809496,
        0.786063,
        0.810124,
        0.793598,
        0.798053,
        0.83758,
        0.768264,
        0.777456,
        0.692349,
        0.689146,
        1.01419,
        1.00733,
        0.996144,
        0.739643,
        0.868433,
        0.654674,
        0.748069,
        0.777897,
        0.998088,
        0.792631,
        0.750306,
        0.749843,
        0.862365,
        0.878692,
        0.864282,
        0.730456,
        0.837454,
        0.807646,
        0.761601,
        0.762897,
        0.628267,
        0.630765,
        0.811366,
        0.812285,
        0.777528,
        0.751737,
        0.732215,
        0.823232,
        0.945205,
        0.850149,
        0.710354,
        0.7283,
        0.787817,
        0.726636,
        0.691376,
        0.784211,
        0.72596,
        0.863531,
        0.902108,
        0.770146,
        0.837681,
        0.869632,
        0.809108,
        0.814465,
        0.758295,
        0.743014,
        0.789703,
        0.93574,
        0.964717,
        0.866187,
        0.860548,
        0.885311,
        0.73895,
        0.760002,
        1.01159,
        0.98933,
        0.827561,
        0.801008,
        0.81053,
        0.970384,
        0.859785,
        0.860974,
        0.904625,
        0.879787,
        0.819272,
        0.867389,
        0.87407,
        0.889486,
        0.854811,
        0.774162,
        0.731566,
        0.748345,
        0.907617,
        0.849465,
        0.933106,
        0.90672,
        1.00234,
        0.902719,
        0.818041,
        0.864632,
        0.954676,
        0.74937,
        0.778487,
        0.784468,
        0.899105,
        0.598475,
        0.581871,
        0.76597,
        0.782755,
        0.79744,
        0.817774,
        0.586864,
        0.623165,
        0.866204,
        0.84348,
        0.84124,
        0.925446,
        0.795256,
        0.715581,
        0.737334,
        0.747441,
        0.79602,
        1.02103,
        0.864352,
        0.917193,
        0.811983,
        0.809318,
        0.97331,
        0.841812,
        0.686833,
        0.815382,
        0.675046,
        0.866369,
        1.0781,
        0.93785,
        0.784737,
        0.663949,
        0.798967,
        0.883896,
        0.941214,
        0.881751,
        1.01048,
        0.94756,
        0.672354,
        0.628913,
        0.83843,
        0.875571,
        0.898742,
        0.87111,
        0.846453,
        0.850447,
        0.864942,
        0.975922,
        0.895253,
        1.00824,
        0.88937,
        0.831593,
        0.847282,
        0.916192,
        0.988549,
        1.04972,
        0.840245,
        0.720925,
        1.04578,
        0.935533,
        0.832696,
        1.23287,
        1.07833,
        0.627017,
        0.808735,
        1.13456,
        0.879534,
        0.626738,
        0.837147,
        0.784209,
        0.788313,
        0.947615,
        0.84006,
        0.872858,
        1.09182,
        0.944903,
        0.777698,
        0.844873,
        0.945721,
        0.92782,
        0.871008,
        0.860338,
        0.709814,
        0.830694,
        0.839556,
        0.866038,
        0.908948,
        0.787848,
        0.755947,
        0.744179,
        0.711171,
        0.699652,
        0.742084,
        0.925127,
        0.876004,
        0.849783,
        0.788499,
        0.811524,
        1.02827,
        0.773534,
        0.738155,
        1.0057,
        0.924188,
        0.85857,
        0.910827,
        0.90883,
        0.759611,
        0.948905,
        1.0816,
        0.798152,
        0.865717,
        0.904822,
        0.821822,
        0.874572,
        0.683842,
        0.591877,
        0.584637,
        0.851404,
        0.683275,
        0.813784,
        0.954728,
        0.851135,
        0.744372,
        0.871983,
        0.78325,
        0.917512,
        0.953642,
        0.712606,
        0.674826,
        0.891412,
        0.834645,
        0.889623,
        0.78319,
        0.522515,
        0.721049,
        0.891123,
        0.884035,
        0.836925,
        0.9071,
        0.898058,
        0.795513,
        0.992314,
        1.00069,
        0.923558,
        0.936095,
        0.76598,
        0.692399,
        0.786415,
        0.731843,
        0.608219,
        0.826665,
        1.00148,
        0.984275,
        0.918561,
        0.677593,
        0.739952,
        0.863026,
        0.824415,
        0.712177,
        0.809625,
        0.794377,
        0.816198,
        0.871638,
        0.737031,
        0.662524,
        0.700235,
        0.958203,
        0.797755,
        0.818719,
        0.835975,
        1.00333,
        0.873171,
        0.850777,
        1.21622,
        1.07753,
        0.999587,
        0.930648,
        0.842732,
        0.907364,
        1.0523,
        0.977469,
        0.9863,
        0.711803,
        0.645249,
        0.655806,
        0.801064,
        0.858347,
        0.844205,
        0.819115,
        0.68022,
        0.992819,
        1.14215,
        0.493014,
        0.787055,
        1.4795,
        0.880065,
        1.0253,
        0.902111,
        0.736731,
        1.32686,
        1.04408,
        0.989426,
        1.24299,
        0.796171,
        1.33053,
        0.962208,
        1.07039,
        1.08556,
        0.936872,
        0.46002,
        0.711377,
        0.857064,
        0.7582,
        0.783112,
        0.980593,
        0.965756,
        0.83274,
        0.937229,
        0.857396,
        0.962211,
        0.805937,
        0.579932,
        0.468493,
        0.383039,
        0.301375,
        0.279126,
        0.39168,
        0.431872,
        0.550748,
        0.522251,
        0.750964,
        0.76355,
        0.784824,
        0.680167,
        0.620643,
        0.614566,
        0.757857,
        0.676826,
        0.688438,
        0.736211,
        0.737013,
        0.796104,
        0.896074,
        0.779358,
        0.903628,
        0.782546,
        0.681594,
        0.700648,
        0.653939,
        0.760056,
        0.755642,
        0.853107,
        0.984738,
        0.837596,
        0.951464,
        0.87919,
        0.824815,
        0.854429,
        0.916934,
        0.975195,
        0.93989,
        0.935337,
        0.950552,
        0.831057,
        0.913278,
        0.94989,
        0.908336,
        1.03244,
        0.902074,
        0.972062,
        1.02957,
        0.985592,
        1.03125,
        1.0952,
        0.905584,
        1.04013,
        0.993952,
        1.01645,
        0.980929,
        0.813248,
        0.942143,
        0.904216,
        0.810508,
        0.721693,
        0.686842,
        0.670641,
        0.717009,
        0.66774,
        0.609206,
        0.674379,
        0.74378,
        0.812571,
        0.77517,
        0.845982,
        0.891148,
        0.868312,
        1.0435,
        1.10304,
        0.635161,
        0.796349,
        0.713316,
        0.682746,
        0.728397,
        0.691433,
        0.810845,
        0.612363,
        0.983718,
        1.13536,
        0.91844,
        0.717261,
        0.762552,
        0.678591,
        0.948955,
        0.969159,
        0.849529,
        1.44684,
        1.21483,
        0.74188,
        1.50073,
        0.636894,
        1.13657,
        0.451641,
        1.14998,
        0.306315,
        0.348494,
        0.618579,
        0.713726,
        0.527193,
        0.498116,
        0.670901,
        0.706607,
        0.711581,
        0.911883,
        0.682225,
        0.684987,
        0.749907,
        0.734227,
        0.760313,
        0.701757,
        0.861114,
        0.853457,
        0.922388,
        0.842121,
        0.795173,
        0.75531,
        0.751849,
        0.727015,
        1.01094,
        0.817662,
        0.914341,
        0.903942,
        1.00158,
        0.895993,
        0.85926,
        0.724553,
        1.17692,
        0.738705,
        0.752855,
        0.824358,
        0.709014,
        0.771975,
        0.997217,
        0.823843,
        0.621783,
        0.8752,
        1.05902,
        0.793061,
        0.924856,
        1.03484,
        0.90598,
        0.871775,
        0.704511,
        0.813886,
        0.832736,
        0.798599,
        0.912924,
        0.695753,
        0.746311,
        0.796323,
        0.741993,
        0.783192,
        0.949538,
        1.15781,
        1.1544,
        0.95112,
        0.663834,
        0.911793,
        0.790981,
        0.826407,
        0.973748,
        0.972345,
        0.702768,
        0.598638,
        1.0076,
        1.07084,
        0.705765,
        0.916121,
        0.882117,
        0.965918,
        0.794828,
        0.861158,
        0.811361,
        0.918332,
        0.734598,
        0.688199,
        0.724218,
        0.957336,
        0.788954,
        0.819276,
        0.797282,
        0.968166,
        1.25294,
        1.18699,
        0.699769,
        1.03969,
        1.04624,
        0.839051,
        0.750133,
        0.848109,
        0.802416,
        0.811226,
        0.8524,
        0.860862,
        0.771018,
        0.77986,
        0.797333,
        0.738107,
        0.920357,
        0.812516,
        0.801695,
        0.781071,
        0.726066,
        0.808075,
        0.977241,
        0.735571,
        0.892915,
        0.820871,
        0.823316,
        0.847456,
        1.03066,
        0.865746,
        0.829204,
        0.636275,
        0.580979,
        0.697646,
        0.796443,
        0.735959,
        0.762578,
        0.859861,
        0.809805,
        0.823115,
        0.954455,
        0.686603,
        0.920669,
        0.798015,
        0.829428,
        0.77245,
        0.761334,
        0.732901,
        0.938085,
        0.782274,
        0.707052,
        0.877011,
        0.889135,
        0.874906,
        0.955116,
        0.764989,
        0.84905,
        0.859223,
        0.971978,
        0.666847,
        0.795058,
        0.620829,
        0.672,
        0.815138,
        0.781293,
        0.828933,
        0.797813,
        0.741357,
        0.735955,
        0.891848,
        0.853348,
        0.775689,
        0.912186,
        0.886337,
        0.900939,
        0.786789,
        0.799044,
        0.816051,
        0.783051,
        0.883358,
        0.902743,
        0.872141,
        0.847859,
        0.821547,
        0.903331,
        0.82783,
        0.96994,
        0.883883,
        0.790547,
        0.876508,
        0.833065,
        0.937853,
        0.78199,
        0.783491,
        0.846643,
        0.805971,
        0.844778,
        0.876186,
        0.777398,
        0.827066,
        0.932451,
        0.915965,
        0.933076,
        0.903716,
        0.611017,
        0.9815,
        0.992777,
        0.775054,
        0.803526,
        0.82919,
        0.752636,
        0.876834,
        0.771968,
        0.77883,
        0.855267,
        0.902623,
        0.917374,
        0.923367,
        0.935338,
        0.990173,
        0.85234,
        0.724744,
        0.791206,
        0.795975,
        0.692277,
        0.630962,
        0.72856,
        0.793828,
        0.861944,
        0.771513,
        0.759457,
        0.813956,
        0.821686,
        0.886881,
        0.721344,
        0.720785,
        0.902599,
        0.963274,
        0.962584,
        0.596832,
        0.614816,
        0.709949,
        0.795046,
        0.862071,
        0.634401,
        0.641331,
        0.710135,
        0.71142,
        0.987891,
        0.835419,
        0.920886,
        0.848164,
        0.879577,
        0.836821,
        0.91252,
        0.776226,
        0.706091,
        0.762471,
        0.760538,
        1.11133,
        1.0104,
        0.842532,
        0.826758,
        1.04084,
        0.965448,
        0.711295,
        0.6528,
        0.777376,
        0.985905,
        1.06984,
        0.92008,
        0.782604,
        0.827915,
        0.82479,
        0.81434,
        0.870257,
        0.820721,
        0.756993,
        0.668994,
        0.661382,
        0.914673,
        0.941112,
        0.890096,
        0.892677,
        0.912322,
        0.931691,
        0.884099,
        0.658719,
        0.590574,
        0.980453,
        1.02927,
        0.726549,
        0.641913,
        0.598835,
        0.918921,
        0.901776,
        0.608382,
        0.51194,
        0.788973,
        1.07782,
        1.2105,
        0.952947,
        0.93691,
        0.980762,
        0.942695,
        0.859637,
        0.921055,
        0.804349,
        0.803939,
        0.720802,
        0.883445,
        0.905204,
        0.789473,
        0.704749,
        0.870009,
        0.922988,
        0.836231,
        0.813703,
        0.81272,
        0.995829,
        0.857431,
        0.856736,
        1.14155,
        1.09033,
        0.701719,
        1.00549,
        0.980767,
        0.975216,
        1.09153,
        1.00168,
        0.811885,
        0.821977,
        0.716245,
        0.827114,
        0.813862,
        0.84742,
        0.776003,
        0.875638,
        0.815253,
        0.834155,
        0.840164,
        0.887171,
        0.857044,
        0.789517,
        0.777674,
        0.851792,
        1.00215,
        0.905005,
        0.683512,
        0.73767,
        0.853579,
        0.944495,
        0.982133,
        0.865931,
        0.714892,
        0.88042,
        0.492436,
        0.914957,
        0.824669,
        0.730946,
        0.860832,
        0.867639,
        0.873779,
        0.95811,
        0.585442,
        0.675505,
        0.76938,
        1.03158,
        0.941746,
        0.838962,
        1.28577,
        0.774832,
        1.78716,
        1.59114,
        0.771233,
        1.15984,
        0.996397,
        1.03828,
        0.992553,
        1.26842,
        1.06078,
        0.847952,
        0.895616,
        0.825934,
        0.733279,
        0.758563,
        1.00103,
        0.870938,
        0.797656,
        0.759524,
        0.758121,
        0.727465,
        0.637385,
        0.632487,
        0.554098,
        0.545145,
        0.398954,
        0.472284,
        0.558736,
        0.367777,
        0.247483,
        0.242843,
        0.225116,
        0.219291,
        0.369875,
        0.358787,
        0.374838,
        0.473514,
        0.51632,
        0.510416,
        0.788374,
        0.54715,
        0.614107,
        0.768169,
        0.63992,
        0.75217,
        0.763681,
        0.616431,
        0.78177,
        1.0228,
        1.00306,
        0.950183,
        0.718191,
        0.923348,
        0.920307,
        0.830645,
        0.933862,
        1.00556,
        0.830035,
        0.872977,
        0.862896,
        0.88266,
        0.763194,
        0.859144,
        0.836363,
        0.831269,
        0.921081,
        1.02708,
        0.845792,
        0.849692,
        0.885652,
        0.734121,
        0.733649,
        0.828946,
        0.870197,
        0.830967,
        0.730479,
        0.72992,
        0.836124,
        0.898453,
        0.966811,
        0.914088,
        0.896883,
        0.914375,
        0.908313,
        0.79164,
        0.971925,
        1.04444,
        1.03632,
        1.17658,
        0.758814,
        0.731745,
        0.769142,
        0.894821,
        0.93503,
        0.983006,
        0.819585,
        0.781547,
        0.969453,
        0.87712,
        0.848068,
        0.998564,
        0.888666,
        0.8986,
        0.852287,
        0.728135,
        0.744002,
        0.839177,
        0.762822,
        0.730157,
        0.62838,
        0.55279,
        0.702808,
        0.76817,
        0.821606,
        0.667419,
        0.522671,
        0.802238,
        1.06694,
        0.733775,
        0.803303,
        0.987925,
        0.994596,
        0.968093,
        0.948899,
        1.02004,
        0.910082,
        0.776439,
        0.881093,
        0.750313,
        1.0038,
        1.03378,
        0.635066,
        0.696801,
        0.83371,
        0.934307,
        0.962403,
        0.68666,
        0.755398,
        0.778938,
        0.845189,
        0.708575,
        0.868272,
        0.884778,
        0.722486,
        0.713485,
        0.927254,
        0.987109,
        0.889099,
        0.758928,
        0.745792,
        0.689396,
        0.798143,
        0.991569,
        0.892704,
        0.886151,
        0.964242,
        0.775171,
        0.679932,
        0.889671,
        0.795615,
        0.700955,
        0.724577,
        0.719993,
        0.683532,
        0.709536,
        0.585569,
        0.739029,
        0.767375,
        0.772153,
        0.956357,
        1.01365,
        0.915415,
        0.934964,
        1.0047,
        0.788505,
        0.622759,
        0.905802,
        0.90146,
        0.64393,
        0.55117,
        0.620914,
        0.680976,
        0.806588,
        0.793606,
        0.816745,
        0.818622,
        0.812358,
        0.87953,
        0.883383,
        0.770506,
        0.701472,
        0.917859,
        0.988872,
        0.77775,
        0.759148,
        0.882896,
        0.914742,
        0.810227,
        0.73918,
        0.77724,
        0.771681,
        0.852024,
        0.905515,
        0.856406,
        0.638179,
        0.719269,
        0.745279,
        0.778626,
        0.688826,
        0.625143,
        0.632563,
        0.571427,
        0.747146,
        0.900805,
        0.849397,
        0.519779,
        0.475249,
        0.901141,
        0.897607,
        0.677794,
        0.744548,
        0.797808,
        0.728401,
        0.898218,
        0.817627,
        0.890907,
        0.86391,
        0.902311,
        0.873895,
        0.816367,
        0.885665,
        0.799444,
        0.973874,
        1.04089,
        0.905664,
        0.931773,
        0.951588,
        0.886549,
        0.939382,
        1.00009,
        1.04013,
        0.91951,
        0.997443,
        1.02397,
        0.860411,
        0.769443,
        0.610444,
        0.744022,
        0.762769,
        0.794807,
        0.913305,
        0.82354,
        0.973542,
        0.79816,
        0.853356,
        0.842031,
        0.800648,
        0.783761,
        0.929848,
        0.844107,
        0.639881,
        0.714303,
        0.708556,
        0.790258,
        0.990617,
        0.800914,
        0.737877,
        0.696818,
        0.725763,
        0.837831,
        0.746165,
        0.704727,
        0.823444,
        0.822013,
        0.899027,
        0.806452,
        0.88349,
        1.01806,
        0.772898,
        0.636434,
        0.826949,
        1.00491,
        0.74999,
        0.713247,
        0.809855,
        0.848525,
        0.73884,
        0.622341,
        0.911802,
        0.854949,
        0.925802,
        0.819544,
        0.59519,
        0.712778,
        1.0458,
        0.866998,
        0.62729,
        0.689023,
        0.814012,
        0.816546,
        0.865059,
        0.966666,
        0.980496,
        0.854387,
        0.751612,
        0.692577,
        0.692396,
        0.793987,
        0.963879,
        0.808044,
        0.810061,
        1.06228,
        1.0843,
        0.895677,
        0.861717,
        0.747068,
        1.04467,
        1.02783,
        0.67399,
        0.771407,
        0.882049,
        1.17417,
        0.878757,
        0.788655,
        0.939276,
        1.0517,
        0.855424,
        0.856881,
        1.11224,
        1.30361,
        0.963421,
        1.08508,
        1.0895,
        0.828702,
        1.04277,
        0.886169,
        0.85406,
        1.00457,
        0.609201,
        1.07631,
        3.33184,
        3.73221,
        1.67658,
        1.22423,
        0.891204,
        1.25337,
        1.01456,
        0.941944,
        0.664008,
        1.1895,
        0.858947,
        1.32677,
        1.41637,
        0.816053,
        0.576238,
        0.797517,
        0.794192,
        0.730318,
        0.841131,
        0.770282,
        0.853628,
        0.891139,
        0.816367,
        0.571137,
        0.787163,
        0.974262,
        0.936351,
        0.91426,
        0.903085,
        0.947928,
        0.980683,
        0.879532,
        1.00547,
        0.938828,
        0.679845,
        1.00183,
        1.01799,
        0.571078,
        0.648633,
        0.552862,
        0.714495,
        0.772717,
        0.922874,
        0.780932,
        0.573181,
        1.00211,
        1.07915,
        0.964862,
        0.927627,
        0.909559,
        1.02756,
        1.23487,
        1.0802,
        0.890177,
        0.977371,
        0.831219,
        0.825215,
        0.700242,
        0.768198,
        0.836304,
        0.802645,
        0.733845,
        0.661111,
        0.821102,
        0.757208,
        0.768445,
        0.91292,
        0.441459,
        0.822745,
        1.09327,
        1.05253,
        null,
        0.565295,
        0.860012,
        0.839435,
        0.630587,
        0.712205,
        0.74408,
        0.952961,
        1.02729,
        0.983829,
        0.660471,
        0.621333,
        0.853374,
        0.700615,
        0.825585,
        0.814391,
        0.79016,
        0.884351,
        0.875282,
        0.791419,
        0.968451,
        0.781798,
        0.873256,
        0.814296,
        0.88444,
        0.865781,
        0.840636,
        0.90096,
        0.697076,
        0.74619,
        0.871657,
        0.773663,
        0.643621,
        0.862538,
        1.11379,
        0.907931,
        0.650928,
        0.680819,
        0.546243,
        0.539213,
        0.544401,
        0.878745,
        0.680551,
        0.704738,
        0.671649,
        0.841726,
        0.715928,
        0.927433,
        0.823889,
        0.821126,
        0.863052,
        0.646417,
        0.758132,
        0.961104,
        1.00434,
        0.830208,
        0.403078,
        1.08544,
        2.23824,
        4.1934,
        1.43714,
        1.90135,
        1.42398,
        0.632593,
        0.716075,
        1.05977,
        1.36742,
        0.570884,
        0.620731,
        1.08472,
        0.889392,
        0.93179,
        0.835428,
        0.760647,
        0.772012,
        0.784223,
        0.831662,
        0.857337,
        0.754523,
        0.869374,
        0.754907,
        0.717316,
        0.818814,
        0.891141,
        0.982191,
        0.888169,
        0.798165,
        0.999215,
        0.821249,
        0.859303,
        0.875134,
        0.574175,
        0.815471,
        0.848443,
        0.851959,
        1.0685,
        0.928097,
        0.989545,
        0.781061,
        0.916414,
        0.732057,
        0.730845,
        0.85426,
        0.794014,
        0.831143,
        0.779533,
        0.759638,
        0.710288,
        0.816089,
        0.917246,
        0.885367,
        0.697746,
        0.761522,
        0.89075,
        0.72519,
        0.954006,
        0.761519,
        0.754554,
        0.89899,
        0.851156,
        0.76163,
        0.73181,
        0.788772,
        0.952333,
        0.968836,
        0.948065,
        0.785838,
        0.716669,
        0.646467,
        0.703453,
        0.6906,
        0.767872,
        0.628336,
        0.740353,
        0.757041,
        0.840683,
        0.875988,
        0.982457,
        1.00199,
        0.907009,
        0.878635,
        0.870705,
        0.855208,
        0.986536,
        0.887642,
        0.636784,
        0.898771,
        1.10722,
        0.85586,
        0.835065,
        0.917945,
        0.975841,
        0.874432,
        0.782355,
        0.742059,
        0.956005,
        0.9524,
        0.887335,
        0.792975,
        0.820738,
        0.956531,
        0.929945,
        0.869908,
        0.89031,
        0.618067,
        0.739361,
        0.700855,
        0.774043,
        0.698443,
        0.864949,
        0.773005,
        0.890966,
        0.930108,
        0.714836,
        0.773776,
        0.843408,
        0.91796,
        1.02101,
        0.89368,
        1.28894,
        0.922437,
        0.713205,
        0.743486,
        0.829305,
        0.830891,
        0.890637,
        0.684433,
        0.744037,
        0.910906,
        0.718508,
        0.823072,
        0.892582,
        0.760318,
        0.672791,
        0.997595,
        0.820292,
        0.813264,
        0.886259,
        0.824728,
        0.775959,
        0.798885,
        0.794804,
        0.802005,
        0.685169,
        0.67045,
        0.776676,
        0.657171,
        0.696238,
        0.800725,
        1.23768,
        0.97915,
        0.690482,
        0.80438,
        0.849221,
        0.610469,
        0.741758,
        0.881793,
        0.929641,
        0.944388,
        1.00258,
        0.904383,
        1.00854,
        0.769995,
        0.696798,
        0.83689,
        0.892729,
        0.711286,
        0.791834,
        0.807463,
        0.679661,
        0.709083,
        0.668778,
        0.822772,
        0.775941,
        0.718732,
        0.925895,
        0.957532,
        0.82164,
        0.715792,
        0.751611,
        0.908608,
        0.87047,
        0.845771,
        0.927768,
        0.838891,
        0.734788,
        0.794288,
        0.728927,
        0.787512,
        0.763498,
        0.988237,
        0.938788,
        1.08902,
        0.922618,
        0.921706,
        0.74329,
        0.652867,
        0.839583,
        0.704234,
        0.777001,
        0.685345,
        0.878259,
        0.841219,
        0.829867,
        0.890536,
        0.718934,
        0.945138,
        1.03048,
        0.97624,
        0.765027,
        0.806983,
        0.881927,
        0.828223,
        0.81022,
        0.809189,
        0.760408,
        0.655808,
        0.773806,
        0.757518,
        0.811487,
        0.775589,
        0.574583,
        0.834436,
        0.848433,
        0.77363,
        0.742476,
        0.83455,
        0.765061,
        1.1677,
        1.05046,
        0.899893,
        0.733547,
        0.997396,
        0.807618,
        1.00471,
        0.808464,
        0.943998,
        0.916079,
        0.722971,
        0.828954,
        0.960917,
        0.870468,
        0.960021,
        0.935616,
        0.820233,
        0.886416,
        1.04994,
        0.772513,
        0.960844,
        0.85028,
        0.777348,
        0.892752,
        0.780944,
        0.705996,
        0.834281,
        0.716771,
        0.852839,
        1.04952,
        1.21553,
        1.2441,
        1.30011,
        1.39088,
        1.13185,
        1.12053,
        2.9958,
        1.44646,
        0.950067,
        1.13287,
        1.5061,
        1.56401,
        1.35093,
        0.844597,
        1.073,
        1.18948,
        0.832093,
        0.785424,
        0.932116,
        0.898722,
        0.875594,
        0.953862,
        0.858181,
        1.0165,
        0.723049,
        0.655816,
        0.731386,
        0.69571,
        0.681889,
        0.504812,
        0.25638,
        0.330006,
        0.381542,
        0.445338,
        0.230811,
        0.132574,
        0.324826,
        0.345677,
        0.471002,
        0.628637,
        0.669108,
        0.778545,
        0.924196,
        0.548729,
        0.558969,
        0.823623,
        0.875589,
        0.826605,
        0.715856,
        0.889407,
        0.906543,
        0.761881,
        0.717828,
        1.05535,
        0.940371,
        0.845953,
        0.824204,
        1.08286,
        0.964006,
        0.933828,
        1.01465,
        1.0319,
        0.829329,
        0.81698,
        1.01217,
        0.954919,
        0.979025,
        0.948987,
        0.87972,
        1.04106,
        1.06668,
        1.05117,
        1.0578,
        1.00273,
        1.03584,
        0.978022,
        0.87368,
        0.792008,
        0.973967,
        1.15284,
        0.948287,
        0.991527,
        0.935157,
        1.12048,
        0.966226,
        0.95532,
        0.627632,
        0.620142,
        0.610857,
        0.877323,
        0.958592,
        0.660945,
        0.69144,
        0.981092,
        0.989711,
        0.78019,
        0.339827,
        0.760745,
        0.719916,
        0.693129,
        0.896152,
        1.07676,
        0.929813,
        0.680581,
        0.723957,
        0.803378,
        0.870663,
        0.799297,
        0.680128,
        0.696739,
        0.730291,
        0.591098,
        0.628277,
        0.718063,
        0.839555,
        0.783971,
        0.852634,
        0.98614,
        1.06391,
        0.736031,
        0.766674,
        0.582762,
        0.783118,
        1.14319,
        0.868587,
        0.51391,
        0.699251,
        0.899282,
        1.03532,
        0.968913,
        0.756623,
        0.726697,
        0.843993,
        0.714579,
        1.38308,
        1.5897,
        0.708632,
        0.728146,
        0.960438,
        0.855097,
        0.885532,
        1.20089,
        1.03152,
        0.971498,
        1.1574,
        0.843705,
        1.12004,
        1.11257,
        0.835858,
        1.08512,
        0.87503,
        1.80968,
        1.29199,
        1.46569,
        1.7513,
        2.48972,
        1.75406,
        1.45262,
        1.01223,
        1.12718,
        0.924351,
        1.13493,
        0.877072,
        0.721375,
        0.696139,
        0.931716,
        1.03849,
        0.843385,
        1.2445,
        0.813951,
        0.581026,
        0.940236,
        1.04034,
        0.897394,
        0.827521,
        1.10044,
        1.10585,
        1.15527,
        0.849467,
        0.764164,
        0.780337,
        0.800568,
        0.773603,
        0.887466,
        0.906867,
        0.852145,
        0.796926,
        0.794299,
        0.884957,
        0.690903,
        0.80799,
        0.793413,
        0.899683,
        0.783267,
        0.800801,
        0.844026,
        0.64972,
        0.804231,
        0.805244,
        0.982001,
        0.871358,
        0.716381,
        0.610484,
        0.661514,
        0.823477,
        0.888147,
        0.699369,
        0.658209,
        0.765508,
        0.902674,
        0.963502,
        0.839472,
        1.00708,
        0.78429,
        0.848168,
        0.864122,
        0.878264,
        0.816903,
        0.808029,
        0.837075,
        0.772765,
        0.761021,
        0.766563,
        0.915587,
        1.07811,
        0.89609,
        0.737273,
        0.638859,
        0.706893,
        0.728726,
        1.0336,
        0.840492,
        0.807883,
        1.00368,
        0.969386,
        0.807787,
        0.82968,
        0.905458,
        0.87028,
        0.999783,
        0.892596,
        0.888624,
        0.785235,
        0.740018,
        0.703526,
        0.849672,
        0.791572,
        0.807255,
        0.81602,
        0.873578,
        0.861624,
        0.986577,
        0.872736,
        0.825983,
        1.00167,
        1.00932,
        0.827528,
        0.84705,
        0.839373,
        0.802084,
        0.975839,
        1.0429,
        0.986603,
        0.812553,
        0.682336,
        0.705994,
        0.724605,
        0.71267,
        0.712527,
        0.725212,
        0.819361,
        0.825785,
        0.690802,
        0.886781,
        0.805705,
        0.642203,
        0.738416,
        0.669728,
        0.650485,
        0.834775,
        0.981204,
        0.932731,
        0.898892,
        0.702776,
        0.999894,
        0.851385,
        0.730918,
        0.857456,
        0.790479,
        0.799785,
        0.852615,
        0.717503,
        0.886802,
        0.894469,
        0.92862,
        0.706537,
        0.679018,
        0.5941,
        0.631224,
        0.706306,
        0.819262,
        0.9272,
        0.744371,
        0.773467,
        0.845525,
        0.825781,
        0.829379,
        0.703574,
        0.58608,
        0.785721,
        0.865128,
        0.808701,
        0.826125,
        0.87971,
        0.820797,
        0.830762,
        0.746182,
        0.716847,
        0.931161,
        0.793448,
        0.989537,
        0.774275,
        0.765871,
        0.691129,
        0.721498,
        0.900582,
        0.828927,
        0.739319,
        0.801676,
        0.851554,
        0.773179,
        0.814732,
        0.88833,
        0.843975,
        0.713853,
        0.574697,
        0.573208,
        0.66231,
        0.80227,
        0.792493,
        0.61645,
        0.565336,
        0.7662,
        0.787781,
        0.709199,
        0.760438,
        0.781004,
        0.771804,
        0.768043,
        0.79154,
        0.95976,
        0.969132,
        0.723168,
        0.927023,
        0.821551,
        0.744777,
        0.722051,
        0.91711,
        0.96991,
        0.795561,
        0.659039,
        0.801315,
        0.812029,
        0.739734,
        0.753996,
        0.759266,
        0.738115,
        0.818951,
        0.848732,
        0.767937,
        0.819742,
        0.705367,
        0.662977,
        0.870862,
        0.828714,
        0.734141,
        0.824453,
        1.00685,
        0.89192,
        0.88972,
        0.647415,
        0.637498,
        0.758707,
        0.789544,
        0.751267,
        0.830706,
        0.937616,
        0.883069,
        0.895147,
        0.971065,
        0.811494,
        0.681206,
        0.649204,
        0.735377,
        0.729219,
        0.792477,
        0.732046,
        0.942067,
        0.775576,
        0.995488,
        0.91885,
        0.939606,
        0.753914,
        0.799078,
        0.949481,
        0.794929,
        0.716823,
        0.701951,
        0.752201,
        0.752539,
        0.727508,
        0.866317,
        0.798179,
        0.741685,
        0.761374,
        0.758491,
        0.78968,
        0.797106,
        0.850694,
        0.781401,
        0.804475,
        0.914422,
        0.963133,
        0.880871,
        0.975848,
        0.81483,
        0.721107,
        0.776623,
        0.952509,
        0.853802,
        0.923266,
        0.803062,
        0.789251,
        0.87591,
        1.05954,
        0.902221,
        0.990836,
        0.822947,
        0.834078,
        0.910997,
        0.9332,
        0.947468,
        0.814831,
        0.781948,
        1.04748,
        0.865568,
        0.751685,
        0.760453,
        0.863744,
        1.09214,
        1.04928,
        0.981554,
        0.886557,
        0.989627,
        0.844408,
        0.891044,
        1.05134,
        0.772766,
        0.709296,
        0.70539,
        0.838306,
        0.83548,
        1.22884,
        1.06482,
        0.771368,
        1.1725,
        1.65417,
        1.71632,
        2.23675,
        5.30657,
        0.488741,
        1.48833,
        1.03293,
        0.806247,
        0.937442,
        1.04923,
        1.19605,
        1.02155,
        1.06122,
        1.03735,
        0.834156,
        0.615178,
        0.620057,
        0.840714,
        0.947453,
        0.757002,
        0.820256,
        0.782901,
        0.852281,
        0.664289,
        0.371943,
        0.35936,
        0.777252,
        0.819713,
        0.679068,
        0.872974,
        0.681048,
        0.625406,
        1.01311,
        1.67824,
        2.09999,
        2.18372,
        1.93572,
        1.27911,
        1.00532,
        1.63262,
        1.17348,
        1.49382,
        1.156,
        0.638757,
        0.971147,
        0.779996,
        0.998672,
        1.27185,
        1.29103,
        0.817021,
        1.26007,
        0.860791,
        1.15285,
        2.03032,
        1.74624,
        0.785973,
        1.02776,
        1.39032,
        1.35264,
        0.965497,
        1.16599,
        0.732824,
        0.924428,
        1.20731,
        1.12479,
        1.04778,
        1.05348,
        0.720914,
        0.760127,
        0.872758,
        1.01088,
        0.676026,
        0.844059,
        0.845921,
        1.04697,
        0.811073,
        0.747786,
        0.860055,
        0.88944,
        0.905644,
        0.929222,
        0.902422,
        0.86851,
        0.792234,
        1.08278,
        1.21,
        1.27642,
        1.03509,
        1.02278,
        0.989243,
        1.02668,
        0.951536,
        0.862862,
        0.948117,
        0.866717,
        0.682829,
        0.798567,
        0.8889,
        0.92353,
        0.842343,
        0.84714,
        0.92812,
        1.03454,
        0.864542,
        0.941036,
        1.0377,
        1.10744,
        1.16126,
        0.998654,
        0.847454,
        0.947385,
        0.760311,
        0.669394,
        0.803409,
        0.72879,
        0.911381,
        0.925758,
        0.872922,
        0.780957,
        0.830079,
        0.746987,
        0.816574,
        0.650706,
        0.850461,
        0.801189,
        0.843944,
        0.667229,
        0.740883,
        0.940401,
        0.807495,
        0.84744,
        0.775266,
        0.845069,
        0.853513,
        0.911687,
        1.04906,
        0.719779,
        0.818332,
        0.794669,
        0.775624,
        0.863852,
        0.794047,
        0.658837,
        0.834005,
        0.863717,
        0.82619,
        0.726006,
        0.669856,
        0.756216,
        0.907806,
        0.927559,
        0.867121,
        0.842352,
        0.840437,
        0.956175,
        0.80727,
        0.854222,
        0.770129,
        0.806003,
        0.933641,
        0.82533,
        0.897129,
        0.979166,
        0.910132,
        0.722036,
        0.84016,
        0.981641,
        1.01159,
        0.84812,
        0.618558,
        0.775802,
        0.440591,
        0.500298,
        0.854698,
        0.806128,
        0.753281,
        0.868798,
        0.852502,
        1.01505,
        1.05292,
        0.805525,
        0.937398,
        0.982928,
        0.955026,
        0.787439,
        0.676333,
        0.700021,
        1.17645,
        1.18541,
        0.754001,
        0.472828,
        0.928689,
        1.0475,
        0.751125,
        0.878558,
        0.891536,
        0.940226,
        1.02354,
        0.917977,
        0.793011,
        0.835293,
        0.793178,
        0.783849,
        0.828495,
        0.809698,
        0.616913,
        0.41065,
        0.627163,
        0.690311,
        0.622678,
        0.806923,
        1.20204,
        1.02098,
        0.911503,
        0.817651,
        0.757028,
        0.690451,
        0.777826,
        0.952487,
        1.02449,
        0.902712,
        0.81919,
        0.680113,
        0.614257,
        0.745878,
        0.940906,
        0.701802,
        0.605965,
        0.686934,
        0.836259,
        0.779526,
        0.869806,
        0.652783,
        0.6859,
        0.727093,
        0.669341,
        0.776554,
        0.8137,
        0.834552,
        0.894698,
        0.842411,
        0.728521,
        0.842357,
        0.97405,
        0.798975,
        0.812352,
        0.810681,
        0.852201,
        0.829504,
        0.685567,
        0.795308,
        0.885623,
        0.765833,
        0.648581,
        0.684502,
        0.827004,
        0.807386,
        0.795821,
        0.595101,
        0.744524,
        0.645751,
        0.780325,
        0.854572,
        0.619094,
        0.587188,
        0.842178,
        0.580862,
        0.774184,
        0.644916,
        0.671068,
        0.541926,
        0.560168,
        0.888662,
        0.869922,
        0.809413,
        0.779734,
        0.70472,
        0.739336,
        0.8846,
        0.927834,
        0.834502,
        1.00472,
        0.987983,
        0.885224,
        1.09772,
        1.05571,
        1.05446,
        0.967936,
        0.630265,
        0.806432,
        0.84827,
        0.700817,
        0.875791,
        0.860059,
        0.843917,
        0.884788,
        0.844559,
        1.02113,
        0.98632,
        0.798546,
        0.497966,
        0.602012,
        0.68219,
        0.635205,
        0.732853,
        0.515501,
        0.891314,
        1.07818,
        1.15909,
        1.07429,
        1.17052,
        0.934715,
        1.24448,
        1.41901,
        1.75959,
        1.64772,
        16.5934,
        1.02743,
        1.11897,
        0.603801,
        0.861791,
        0.648621,
        0.980467,
        0.690892,
        0.775859,
        0.887172,
        1.10678,
        1.17342,
        1.01042,
        0.609576,
        0.740561,
        0.299532,
        0.504623,
        0.504358,
        0.799019,
        0.772648,
        0.871635,
        0.900939,
        0.981125,
        0.808224,
        0.705943,
        0.490547,
        0.47256,
        0.492142,
        0.65604,
        1.19829,
        1.27238,
        0.776388,
        1.51919,
        1.96308,
        1.19517,
        1.88882,
        0.560689,
        0.417951,
        0.652475,
        0.890738,
        0.838181,
        0.937701,
        0.939336,
        0.837962,
        0.687451,
        0.968707,
        0.922108,
        0.867858,
        0.862685,
        0.701936,
        0.758941,
        0.910087,
        0.866722,
        0.804926,
        0.807029,
        0.985771,
        0.87673,
        0.862385,
        0.836751,
        0.859339,
        0.742311,
        0.683068,
        0.882042,
        0.861164,
        0.848367,
        0.929125,
        0.84738,
        0.718364,
        0.648025,
        0.710896,
        0.767543,
        0.779773,
        0.744335,
        0.85725,
        0.874294,
        0.76323,
        0.844627,
        0.756094,
        0.714375,
        0.895403,
        0.841168,
        0.846015,
        0.882653,
        1.0174,
        0.853784,
        0.867543,
        0.906995,
        0.98795,
        0.77921,
        0.822923,
        0.842198,
        1.00814,
        1.05623,
        1.0043,
        1.00676,
        1.0454,
        0.923742,
        0.991882,
        0.981888,
        0.966923,
        0.880285,
        1.00467,
        0.987312,
        0.994252,
        1.34317,
        1.1854,
        0.827096,
        0.754743,
        0.861399,
        0.772274,
        0.925979,
        0.908286,
        1.14582,
        1.15938,
        0.597724,
        0.637318,
        0.962674,
        1.18793,
        1.94588,
        1.04491,
        0.732714,
        1.1662,
        0.973555,
        1.11273,
        1.04817,
        1.00717,
        1.12282,
        0.923313,
        0.993614,
        1.05915,
        1.11856,
        1.08912,
        0.913316,
        0.810507,
        0.986259,
        0.943424,
        0.898073,
        1.0162,
        1.15073,
        0.837372,
        0.9056,
        0.75672,
        0.573228,
        0.71395,
        0.621797,
        0.323198,
        0.308183,
        0.339851,
        0.376501,
        0.315913,
        0.607641,
        0.742743,
        0.717545,
        0.597167,
        0.704946,
        0.753005,
        0.668243,
        0.645872,
        0.753703,
        0.777568,
        0.756829,
        0.846482,
        0.873986,
        0.904689,
        0.896167,
        0.694747,
        0.881499,
        0.980868,
        0.886819,
        1.05148,
        0.886846,
        0.839013,
        1.03067,
        1.04463,
        0.827791,
        0.717524,
        0.827158,
        0.860848,
        0.827291,
        0.98957,
        0.993324,
        1.04888,
        1.10185,
        0.920571,
        0.742514,
        0.753574,
        0.755032,
        0.8714,
        0.719514,
        0.823099,
        0.998243,
        0.785784,
        0.791519,
        0.783722,
        0.946372,
        0.941622,
        0.873979,
        0.7202,
        1.00392,
        1.06797,
        1.0543,
        1.05252,
        0.804798,
        0.702922,
        0.761869,
        0.82232,
        0.890896,
        1.12733,
        1.05537,
        1.2608,
        0.897083,
        0.947101,
        0.738993,
        0.719989,
        1.00507,
        0.967453,
        1.16234,
        1.08974,
        0.949776,
        0.891175,
        0.833076,
        0.782402,
        0.902607,
        0.954179,
        0.834782,
        0.588368,
        0.808606,
        0.941608,
        0.794041,
        0.987195,
        0.766446,
        0.795916,
        0.978775,
        1.05348,
        1.04353,
        0.720938,
        0.629285,
        0.673897,
        0.880357,
        0.936466,
        0.980292,
        1.01161,
        0.791513,
        0.820055,
        0.919785,
        0.818837,
        0.788849,
        0.770409,
        0.852086,
        0.806389,
        0.981154,
        0.905803,
        0.8808,
        0.938103,
        0.749713,
        1.03487,
        0.995585,
        0.765149,
        0.96609,
        0.820724,
        0.675073,
        0.791992,
        0.908133,
        0.835513,
        0.910836,
        0.831409,
        0.891415,
        0.718943,
        0.708658,
        0.821241,
        0.914665,
        0.748799,
        0.883523,
        0.695435,
        0.795251,
        1.14786,
        1.13751,
        0.816477,
        0.696862,
        0.764221,
        0.876235,
        0.844712,
        0.894394,
        0.982982,
        1.00352,
        0.852069,
        0.96276,
        0.977227,
        0.73223,
        0.6197,
        0.734358,
        0.784999,
        1.0805,
        1.02864,
        0.843126,
        0.771396,
        0.897138,
        0.822024,
        0.874253,
        0.872971,
        0.904671,
        0.898731,
        0.900059,
        0.874488,
        0.984457,
        0.833677,
        0.846826,
        0.598737,
        0.80457,
        0.408278,
        0.700907,
        0.459876,
        0.577424,
        0.628519,
        0.584302,
        0.78333,
        0.898889,
        0.84769,
        0.849849,
        0.781525,
        0.789822,
        0.710582,
        0.800215,
        0.722458,
        0.757085,
        0.824291,
        0.833395,
        0.655761,
        0.679836,
        0.830092,
        0.831155,
        0.771799,
        0.740317,
        0.721638,
        0.690455,
        0.799876,
        0.775108,
        0.653728,
        0.818401,
        0.854552,
        0.994175,
        0.906213,
        0.800144,
        0.791968,
        0.7472,
        0.840411,
        0.782679,
        0.611833,
        0.700443,
        0.795002,
        0.732719,
        0.645866,
        0.810066,
        0.918994,
        0.869679,
        0.738919,
        0.852489,
        0.736234,
        0.778034,
        0.873783,
        1.04438,
        1.02591,
        0.930444,
        0.775406,
        0.726874,
        0.743175,
        0.804179,
        0.909426,
        0.834809,
        0.907293,
        0.862309,
        0.768432,
        0.75344,
        0.715803,
        0.796424,
        0.794646,
        0.697025,
        0.703416,
        0.798929,
        0.74776,
        0.902017,
        0.733086,
        0.712237,
        0.746371,
        0.860832,
        0.797912,
        0.804838,
        0.801347,
        0.847209,
        0.894318,
        0.914407,
        0.722401,
        0.560919,
        0.6796,
        0.585696,
        0.496668,
        0.699971,
        0.950009,
        0.891361,
        0.76175,
        0.884579,
        0.871835,
        2.10276,
        1.62289,
        2.61951,
        1.95337,
        1.28992,
        0.813562,
        0.521729,
        0.803052,
        0.918203,
        1.11174,
        0.901836,
        0.700332,
        0.571413,
        0.84136,
        0.97396,
        1.08978,
        0.925346,
        0.892399,
        0.984131,
        0.786678,
        0.716019,
        1.00766,
        1.10179,
        0.831906,
        0.896414,
        0.826623,
        0.704423,
        0.759143,
        0.864346,
        0.519683,
        0.546306,
        0.731966,
        0.842046,
        1.11753,
        0.9856,
        0.784537,
        0.770689,
        0.815055,
        0.804229,
        0.881509,
        0.878243,
        0.880452,
        0.828883,
        0.644301,
        0.779794,
        0.969058,
        0.93813,
        0.828041,
        0.783096,
        0.70865,
        0.664951,
        0.715829,
        0.771631,
        0.735703,
        0.901939,
        0.831349,
        0.699904,
        0.714079,
        0.919243,
        0.703318,
        0.700077,
        0.783464,
        0.831634,
        0.720097,
        0.761071,
        0.57049,
        0.839531,
        1.00912,
        0.724494,
        0.613159,
        0.707093,
        0.60341,
        0.638238,
        0.755493,
        0.783745,
        0.695346,
        0.83015,
        0.848588,
        0.82548,
        0.881691,
        0.843213,
        0.832244,
        0.963613,
        0.825574,
        0.682813,
        0.809753,
        0.851679,
        0.782235,
        0.680746,
        0.619282,
        0.758776,
        0.821766,
        0.772215,
        0.698912,
        0.765891,
        0.823009,
        0.765977,
        0.648034,
        0.613156,
        0.807079,
        0.82487,
        0.828587,
        1.04136,
        0.951332,
        0.869494,
        0.738166,
        0.762682,
        0.92138,
        0.884878,
        0.757795,
        0.812603,
        0.951167,
        0.880629,
        0.829018,
        0.932414,
        0.937712,
        0.882935,
        0.894187,
        0.739557,
        0.697668,
        0.762323,
        0.80243,
        0.741543,
        0.696005,
        0.785155,
        0.848198,
        0.871735,
        0.82783,
        0.837397,
        0.827478,
        0.946761,
        0.965676,
        0.968918,
        0.949596,
        0.894702,
        0.947794,
        0.894129,
        0.865649,
        0.729389,
        0.820354,
        0.942434,
        0.800174,
        0.706088,
        0.762268,
        0.827121,
        0.899533,
        0.911708,
        0.895667,
        0.809144,
        0.705355,
        0.830549,
        0.752593,
        1.06782,
        0.97196,
        0.81591,
        0.732723,
        0.714803,
        0.845648,
        0.962005,
        0.999833,
        0.917907,
        0.780504,
        0.813838,
        0.873643,
        0.692482,
        0.682495,
        0.861599,
        1.10853,
        0.957755,
        0.660756,
        0.766844,
        0.700921,
        0.690656,
        0.727498,
        0.915431,
        0.733464,
        0.578016,
        0.831964,
        0.714622,
        0.667804,
        0.816008,
        0.914365,
        0.572889,
        0.466996,
        0.626555,
        0.694887,
        0.77986,
        0.412676,
        0.599422,
        0.989469,
        1.02716,
        0.628931,
        0.590124,
        0.736399,
        0.854449,
        1.00367,
        0.712358,
        0.979923,
        0.849865,
        0.832287,
        0.907693,
        0.987195,
        1.0634,
        0.939689,
        0.996256,
        1.06754,
        0.983057,
        1.3164,
        1.18123,
        1.13933,
        1.00735,
        0.962517,
        1.25514,
        1.38974,
        1.23126,
        1.06062,
        1.23733,
        1.03774,
        0.48086,
        0.891765,
        0.986703,
        1.40009,
        0.99646,
        1.89262,
        2.212,
        1.41842,
        1.30831,
        1.33903,
        0.767475,
        1.32857,
        1.24229,
        1.00735,
        1.66785,
        2.10857,
        1.69004,
        2.60338,
        2.36842,
        1.54834,
        2.01915,
        1.99281,
        0.927996,
        0.720826,
        0.951739,
        0.510658,
        0.405866,
        0.357327,
        0.328725,
        0.438107,
        0.273376,
        0.36869,
        0.663187,
        0.779704,
        0.62869,
        0.626168,
        0.62961,
        0.672314,
        0.46289,
        0.616559,
        0.852067,
        1.00728,
        0.858841,
        0.611969,
        0.535089,
        0.677957,
        0.929491,
        0.874424,
        0.720045,
        0.847486,
        0.856611,
        0.97504,
        0.964185,
        0.684214,
        1.05922,
        1.0283,
        0.786364,
        0.809677,
        1.02232,
        0.873244,
        0.851818,
        0.863083,
        0.836563,
        0.813909,
        1.19259,
        0.956549,
        1.06945,
        1.00253,
        0.929979,
        1.03585,
        0.980249,
        0.916846,
        0.799255,
        0.635749,
        0.74455,
        0.876651,
        0.818638,
        0.655902,
        0.818791,
        0.795436,
        1.00608,
        1.01168,
        0.906884,
        0.98384,
        1.07442,
        0.990817,
        0.775783,
        0.533654,
        0.813551,
        0.970093,
        1.04694,
        0.974433,
        0.947561,
        1.30434,
        1.18194,
        0.739011,
        0.795192,
        0.523464,
        0.512104,
        0.860088,
        0.672122,
        0.557008,
        0.759526,
        0.646146,
        0.647405,
        0.717512,
        0.663393,
        0.864048,
        0.778743,
        0.644091,
        0.653662,
        0.918234,
        1.06554,
        0.986584,
        0.986711,
        0.974161,
        1.04579,
        0.854675,
        0.795942,
        1.13485,
        0.999777,
        0.984086,
        0.808771,
        0.738856,
        0.892665,
        0.987905,
        0.792795,
        0.793358,
        0.585724,
        0.603429,
        0.603566,
        0.563417,
        0.768652,
        0.63643,
        0.709392,
        0.593604,
        0.926549,
        1.10766,
        1.22352,
        1.01677,
        1.06136,
        1.11445,
        0.667115,
        0.895103,
        0.934601,
        0.713779,
        2.19178,
        1.23868,
        1.13635,
        0.809483,
        0.971647,
        1.01854,
        1.10936,
        0.963667,
        0.762628,
        0.503806,
        0.698254,
        0.861722,
        0.804177,
        null,
        2.30468,
        2.21372,
        1.05773,
        1.53822,
        1.3526,
        1.99014,
        2.01208,
        1.04022,
        0.936725,
        0.809446,
        0.657185,
        0.562952,
        0.938775,
        2.30891,
        0.778729,
        1.16121,
        0.964695,
        1.62627,
        0.750323,
        0.922869,
        0.948693,
        1.0031,
        1.16984,
        3.42606,
        1.8138,
        2.17113,
        0.882026,
        1.47751,
        1.52473,
        4.83898,
        2.09547,
        1.59216,
        23.8204,
        17.1398,
        2.20823,
        1.79419,
        1.47355,
        1.12723,
        0.633804,
        0.673775,
        1.38189,
        1.30762,
        0.696031,
        0.790263,
        0.984908,
        1.09488,
        0.544671,
        0.858662,
        0.922526,
        1.04284,
        0.653934,
        0.52109,
        0.956701,
        1.14034,
        0.736814,
        0.951958,
        0.977447,
        0.971073,
        1.00682,
        1.09715,
        0.983333,
        0.718178,
        0.679423,
        0.921698,
        1.08796,
        1.10608,
        0.965637,
        0.57054,
        0.515767,
        0.635084,
        1.01228,
        0.755794,
        0.770273,
        0.451444,
        0.45714,
        0.854766,
        0.969268,
        0.610717,
        0.678447,
        0.837376,
        0.661584,
        0.823416,
        0.994934,
        1.01072,
        0.739504,
        0.731508,
        0.741361,
        0.786332,
        0.566997,
        0.969096,
        0.633927,
        0.942611,
        0.866675,
        0.802073,
        0.709175,
        0.835113,
        0.981954,
        0.891027,
        0.70547,
        0.821471,
        0.884922,
        0.752618,
        0.778552,
        0.686405,
        0.840307,
        0.714684,
        0.79786,
        0.885746,
        0.923494,
        0.772552,
        0.823741,
        1.1715,
        0.903381,
        0.85039,
        0.98822,
        1.02294,
        0.764828,
        0.908241,
        0.947142,
        0.872204,
        0.906807,
        0.947671,
        0.740716,
        0.654983,
        0.855965,
        1.02199,
        1.24972,
        0.892399,
        0.906382,
        0.944418,
        0.857544,
        0.82062,
        0.972577,
        0.921878,
        0.902415,
        0.857559,
        0.926293,
        1.04809,
        0.81995,
        0.990914,
        0.834745,
        0.784741,
        0.737466,
        0.815879,
        0.897573,
        0.982485,
        1.03422,
        1.01444,
        0.890334,
        0.754325,
        0.754559,
        0.699282,
        0.880272,
        0.891997,
        0.953741,
        0.865878,
        0.978897,
        0.966904,
        0.807132,
        0.813501,
        0.944316,
        0.829053,
        0.923606,
        0.544895,
        0.633995,
        0.686675,
        0.723588,
        0.794606,
        0.815419,
        1.00428,
        0.904888,
        0.927924,
        0.884296,
        0.796098,
        0.63902,
        0.718502,
        0.808812,
        0.713666,
        0.703874,
        0.76964,
        0.796982,
        0.650423,
        0.794954,
        0.891531,
        0.950732,
        0.694153,
        0.778251,
        0.87036,
        0.70722,
        0.679701,
        0.882963,
        0.867433,
        0.819381,
        0.801262,
        0.83716,
        0.908011,
        1.06442,
        0.845241,
        0.597655,
        0.493915,
        0.489863,
        0.792597,
        0.680913,
        0.771625,
        0.822766,
        0.652306,
        1.00125,
        1.03114,
        0.758727,
        0.743383,
        0.885504,
        1.01775,
        0.938922,
        0.818436,
        0.841613,
        0.863077,
        0.815385,
        0.894719,
        0.919214,
        0.855701,
        0.877231,
        0.942447,
        0.830951,
        0.857758,
        0.806517,
        0.886867,
        0.794858,
        0.784666,
        0.924922,
        0.573688,
        0.849177,
        1.06895,
        0.765331,
        0.675049,
        0.831621,
        0.950967,
        0.852037,
        0.897782,
        0.834454,
        0.925944,
        0.779379,
        0.830866,
        0.969686,
        0.988379,
        0.770425,
        0.919329,
        0.87695,
        0.851706,
        0.599368,
        0.945164,
        0.962393,
        0.95363,
        0.698592,
        0.675853,
        0.805099,
        0.66273,
        0.546168,
        0.871769,
        0.783707,
        0.52319,
        0.767867,
        1.10968,
        0.625727,
        0.498589,
        0.696389,
        0.759733,
        0.744134,
        1.15471,
        1.05616,
        0.736517,
        0.899557,
        1.01212,
        0.864256,
        0.934299,
        0.937313,
        0.954793,
        1.00172,
        0.867988,
        0.802579,
        0.866451,
        0.75012,
        0.827949,
        0.774654,
        1.10768,
        1.01261,
        0.792544,
        0.680308,
        0.816616,
        0.58933,
        0.760798,
        0.79181,
        0.613019,
        0.781499,
        0.771568,
        0.929381,
        0.6435,
        0.640745,
        0.68196,
        1.02335,
        1.02304,
        0.879355,
        0.681005,
        0.834998,
        0.56005,
        1.15417,
        0.755574,
        1.85153,
        1.45317,
        14.9097,
        1.80929,
        1.72152,
        1.01303,
        0.683565,
        0.970973,
        0.932521,
        0.699333,
        0.576574,
        0.888653,
        1.16127,
        0.922809,
        0.677543,
        0.747836,
        0.695588,
        0.476102,
        0.747902,
        0.895704,
        0.841025,
        0.871539,
        0.828508,
        0.796199,
        0.823613,
        0.879656,
        0.764376,
        0.627858,
        0.658298,
        0.815697,
        1.04312,
        0.970933,
        0.834595,
        0.725706,
        0.858026,
        1.06693,
        0.948779,
        0.916217,
        1.01243,
        1.08741,
        0.746424,
        0.841681,
        1.17197,
        1.01162,
        2.94126,
        1.83337,
        0.752745,
        1.22602,
        0.839485,
        1.16762,
        0.880741,
        0.779492,
        0.948502,
        0.843587,
        0.880331,
        0.741537,
        0.617175,
        1.07905,
        0.945783,
        0.784725,
        0.727533,
        0.874233,
        0.932835,
        0.826505,
        0.923053,
        0.957767,
        0.801021,
        1.02065,
        0.893967,
        0.954468,
        0.946249,
        0.809844,
        0.912401,
        1.00834,
        1.06176,
        0.761412,
        0.842347,
        0.91178,
        0.813531,
        0.793308,
        0.76094,
        0.835793,
        0.818146,
        1.03344,
        0.977062,
        0.824238,
        0.86719,
        1.00059,
        0.936259,
        0.768651,
        0.774265,
        0.794209,
        1.1436,
        0.873914,
        0.80199,
        1.29364,
        1.03795,
        0.474156,
        0.882109,
        0.877713,
        0.844105,
        1.08995,
        1.03,
        0.922659,
        0.832228,
        0.920874,
        0.717829,
        1.03821,
        1.21889,
        0.960044,
        1.07934,
        0.974113,
        0.971814,
        1.03529,
        0.896585,
        0.827603,
        0.780288,
        0.87374,
        0.717285,
        0.615275,
        0.439875,
        0.49566,
        0.474776,
        0.334866,
        0.447788,
        0.263375,
        0.386985,
        0.416617,
        0.555621,
        0.60594,
        0.805347,
        1.02914,
        0.984719,
        0.828672,
        0.872423,
        0.64747,
        0.688866,
        0.695478,
        0.791943,
        0.876041,
        0.833943,
        0.731509,
        0.846144,
        0.852781,
        0.82457,
        0.947432,
        0.958173,
        0.706371,
        0.706793,
        0.802246,
        0.869271,
        0.945192,
        1.07865,
        0.894255,
        0.802718,
        0.797151,
        0.8061,
        0.929436,
        0.955571,
        0.92409,
        0.893591,
        0.828583,
        0.892555,
        0.877202,
        0.9138,
        0.700944,
        0.892925,
        0.734171,
        0.574962,
        0.638415,
        0.984251,
        0.789706,
        0.446556,
        0.569024,
        0.520543,
        0.700858,
        0.749769,
        0.821923,
        0.944322,
        0.820325,
        1.15884,
        0.939164,
        1.00863,
        1.1618,
        1.37245,
        0.752801,
        0.774197,
        0.765097,
        0.694808,
        0.861044,
        1.01267,
        1.16494,
        0.873034,
        1.07616,
        1.13784,
        0.932012,
        0.717031,
        0.865328,
        0.701283,
        0.784736,
        1.07765,
        1.17797,
        0.95604,
        1.0098,
        0.649491,
        0.643151,
        1.18027,
        0.929501,
        1.06111,
        0.992287,
        1.20585,
        0.780956,
        3.06325,
        5.88164,
        2.54553,
        1.10456,
        0.821943,
        0.704703,
        0.724216,
        0.832843,
        0.885264,
        1.02484,
        0.910966,
        0.768064,
        0.764008,
        0.760214,
        0.87735,
        1.02226,
        0.990766,
        0.907923,
        0.807021,
        0.813985,
        0.884074,
        0.966197,
        1.0892,
        1.0037,
        0.874943,
        0.895101,
        0.779478,
        0.813008,
        0.734461,
        0.739821,
        0.977776,
        0.911847,
        0.834245,
        0.944931,
        0.762446,
        0.807814,
        0.750767,
        0.821119,
        1.01841,
        0.871188,
        0.786859,
        0.826723,
        0.683816,
        0.636049,
        0.788424,
        0.849748,
        0.682159,
        0.762985,
        0.957654,
        0.857246,
        0.714632,
        0.883338,
        0.605309,
        0.56678,
        0.917624,
        0.9383,
        0.845421,
        0.747698,
        0.767215,
        0.881225,
        0.895318,
        0.779097,
        0.844315,
        0.862419,
        0.99794,
        0.869335,
        0.838262,
        0.882051,
        0.771989,
        0.655898,
        0.740037,
        0.741438,
        0.808034,
        0.719586,
        0.472781,
        0.70627,
        0.778088,
        0.816258,
        0.867122,
        0.856762,
        0.915579,
        0.632699,
        0.861088,
        0.80851,
        0.800144,
        0.931398,
        0.812926,
        0.96969,
        0.776083,
        0.713205,
        0.810301,
        0.813999,
        0.769805,
        0.913874,
        0.687433,
        0.703409,
        0.680925,
        0.741121,
        0.61495,
        0.711954,
        0.700295,
        0.962851,
        0.844631,
        0.848507,
        0.785558,
        0.684788,
        0.705248,
        0.831855,
        0.88417,
        0.761904,
        0.748747,
        0.716175,
        0.74682,
        0.739929,
        0.813688,
        0.860113,
        0.76218,
        0.770909,
        0.787791,
        0.88149,
        0.886088,
        0.858754,
        1.0161,
        1.00403,
        0.953251,
        0.82972,
        1.05687,
        0.902162,
        1.12784,
        0.97847,
        0.880499,
        0.801636,
        0.861656,
        0.940963,
        0.840146,
        0.632461,
        0.805685,
        0.912606,
        0.8925,
        1.01317,
        0.920168,
        0.790017,
        0.685319,
        0.682897,
        0.777899,
        0.813081,
        0.800469,
        0.834267,
        0.919257,
        0.67385,
        0.978093,
        1.03592,
        0.998759,
        0.921402,
        0.796871,
        0.91646,
        0.916216,
        0.861384,
        0.860003,
        0.893463,
        0.842195,
        0.487581,
        0.360201,
        0.571209,
        0.46005,
        0.620088,
        0.607693,
        0.874711,
        0.443142,
        1.29781,
        2.22091,
        2.16853,
        2.06455,
        4.55339,
        14.8578,
        3.21502,
        0.916685,
        0.584372,
        0.781629,
        1.14616,
        0.752274,
        0.854554,
        0.958322,
        0.557978,
        0.785266,
        1.09508,
        1.04945,
        1.1779,
        1.07858,
        1.07275,
        0.921441,
        0.911039,
        0.715348,
        0.84119,
        0.848138,
        0.840711,
        0.832242,
        0.827253,
        0.949713,
        0.823574,
        0.716494,
        0.760881,
        0.860124,
        0.946306,
        0.900805,
        0.76077,
        0.784543,
        0.81805,
        0.84728,
        0.877814,
        0.83888,
        0.764132,
        0.812052,
        0.799823,
        0.65881,
        0.833522,
        0.919841,
        0.951561,
        0.887457,
        0.822243,
        0.7477,
        0.643234,
        0.657248,
        0.590481,
        0.628671,
        0.744514,
        0.763286,
        0.810726,
        0.998459,
        0.867438,
        0.933239,
        0.957215,
        0.895936,
        0.747772,
        0.824848,
        0.883521,
        0.816285,
        0.844028,
        0.800493,
        0.897686,
        0.961864,
        0.71465,
        0.775686,
        0.772094,
        0.761373,
        0.844392,
        0.842132,
        0.857367,
        0.876312,
        0.714128,
        0.638906,
        0.656962,
        0.64694,
        0.765988,
        0.832778,
        0.838397,
        0.76262,
        0.842918,
        1.01409,
        0.871335,
        0.903343,
        0.823294,
        0.852543,
        0.872065,
        0.719364,
        0.674725,
        0.784051,
        0.780933,
        0.727745,
        0.833468,
        0.809057,
        0.889611,
        0.923811,
        0.901072,
        1.07774,
        0.905303,
        0.826918,
        0.882317,
        0.948695,
        1.05895,
        1.1112,
        0.929612,
        0.802825,
        0.735894,
        0.638439,
        0.800037,
        0.722416,
        0.828345,
        0.856603,
        0.823655,
        0.723774,
        0.76855,
        0.731493,
        0.795815,
        0.773893,
        0.811116,
        1.04346,
        0.920243,
        0.941672,
        0.972141,
        0.879513,
        0.776596,
        0.67131,
        0.604508,
        0.723037,
        0.743349,
        0.708117,
        1.09113,
        0.863859,
        0.674178,
        0.629673,
        0.577747,
        0.606572,
        0.610275,
        0.752277,
        0.753524,
        0.604495,
        0.480434,
        0.723474,
        0.749536,
        0.950108,
        0.898171,
        0.824151,
        0.757536,
        0.854474,
        0.858026,
        0.813768,
        0.654842,
        0.74474,
        0.761212,
        0.843237,
        0.897486,
        0.659699,
        0.99073,
        1.02676,
        0.869545,
        0.816662,
        0.622705,
        0.775665,
        0.568339,
        1.05518,
        1.07847,
        1.25428,
        1.48838,
        2.43124,
        2.13128,
        1.30309,
        0.661304,
        1.03616,
        1.33689,
        1.19543,
        0.668243,
        0.844515,
        0.85372,
        1.37245,
        1.18736,
        0.951035,
        0.780337,
        0.926138,
        0.958549,
        1.25431,
        0.505181,
        1.14303,
        1.98466,
        1.43803,
        0.963243,
        1.37045,
        0.878841,
        0.973435,
        1.36302,
        1.14967,
        1.10524,
        0.976866,
        0.611352,
        0.78315,
        1.06851,
        1.02481,
        1.22398,
        1.25805,
        1.13287,
        1.13545,
        1.04223,
        0.995414,
        0.971654,
        0.924582,
        0.673995,
        0.619304,
        0.71266,
        0.835004,
        0.954005,
        0.979188,
        0.827055,
        0.652585,
        0.537571,
        0.384521,
        0.20462,
        0.212372,
        0.244202,
        0.319189,
        0.275642,
        0.173038,
        0.407978,
        0.527377,
        0.551914,
        0.782991,
        0.752705,
        0.802217,
        0.594296,
        0.70605,
        0.6842,
        0.777772,
        1.0365,
        0.845101,
        0.835697,
        0.751488,
        0.764473,
        0.797791,
        0.814222,
        0.771392,
        0.715697,
        1.07243,
        1.05889,
        0.842109,
        0.792871,
        0.950534,
        0.792557,
        0.874233,
        0.788381,
        0.684561,
        0.864285,
        0.894152,
        0.97778,
        0.98016,
        0.991559,
        0.983172,
        0.942084,
        1.02762,
        0.741578,
        0.818886,
        0.79929,
        0.768415,
        0.882987,
        1.06248,
        0.836632,
        0.78502,
        0.838955,
        0.913754,
        1.01182,
        1.00009,
        0.810597,
        0.884556,
        0.807616,
        0.689558,
        0.869388,
        0.922759,
        0.985134,
        0.938976,
        0.86906,
        0.86358,
        0.925192,
        0.966122,
        0.984234,
        0.930727,
        0.969637,
        0.913534,
        0.915328,
        0.913554,
        0.767215,
        0.729231,
        0.945156,
        0.793387,
        0.836501,
        0.840485,
        0.873424,
        0.937901,
        0.943359,
        0.881584,
        0.8209,
        0.776843,
        0.815278,
        1.02474,
        0.946253,
        1.00931,
        0.969877,
        1.1118,
        1.0783,
        0.812133,
        0.871494,
        0.856754,
        0.744629,
        0.744763,
        0.723948,
        0.874135,
        0.959937,
        0.739788,
        0.739543,
        0.845978,
        0.75378,
        0.959475,
        0.584969,
        0.52088,
        0.84659,
        0.847497,
        0.502299,
        0.910217,
        0.722631,
        0.639972,
        0.943667,
        0.9097,
        1.08606,
        0.626836,
        1.13748,
        1.12613,
        0.994419,
        1.15559,
        0.852334,
        1.56636,
        5.7999,
        0.970783,
        1.48542,
        1.26154,
        0.933414,
        1.14401,
        1.15445,
        1.17637,
        1.07492,
        0.997564,
        0.842353,
        0.732305,
        0.870302,
        1.0631,
        1.00877,
        0.946908,
        0.716781,
        0.582231,
        0.749936,
        0.956717,
        0.963928,
        1.08871,
        0.818837,
        0.866711,
        0.968065,
        0.843576,
        0.72455,
        0.748509,
        0.885964,
        0.732856,
        0.914174,
        0.847013,
        0.751476,
        0.749591,
        0.869799,
        0.732559,
        0.807436,
        0.782593,
        0.880178,
        0.874668,
        0.901538,
        0.883874,
        1.10958,
        0.880382,
        1.14011,
        1.04534,
        1.13421,
        0.949697,
        0.823129,
        1.08834,
        1.03408,
        1.01134,
        0.979515,
        0.913311,
        0.961758,
        0.855234,
        0.912918,
        0.730946,
        0.737164,
        0.962818,
        0.935091,
        0.715509,
        0.642434,
        0.894257,
        0.821016,
        0.830588,
        0.76273,
        1.036,
        0.758018,
        0.581864,
        0.731323,
        1.0818,
        1.07031,
        0.921887,
        0.946665,
        1.07424,
        0.981156,
        1.07387,
        0.709306,
        0.712392,
        0.846516,
        0.911651,
        0.725062,
        0.948214,
        0.912917,
        0.715743,
        0.738935,
        0.912328,
        0.782909,
        0.750439,
        0.671043,
        0.749272,
        0.907562,
        0.942308,
        0.938491,
        1.0152,
        0.814518,
        0.848259,
        0.885939,
        0.811652,
        0.741809,
        0.887905,
        0.845481,
        0.761093,
        0.78995,
        0.871302,
        0.936519,
        0.678421,
        0.598689,
        0.838251,
        0.848508,
        0.969811,
        0.970794,
        0.927239,
        0.77317,
        0.882433,
        0.820694,
        0.996025,
        0.990762,
        0.770687,
        0.721888,
        0.86459,
        0.799394,
        0.680851,
        0.670463,
        0.825883,
        1.01192,
        1.05482,
        0.845046,
        0.707488,
        0.781924,
        0.824571,
        0.812703,
        0.816618,
        0.92938,
        0.786083,
        0.978787,
        0.991852,
        1.22164,
        0.846216,
        0.979738,
        0.714817,
        0.6606,
        0.844777,
        0.885462,
        0.798233,
        1.05615,
        1.02955,
        1.1507,
        0.902642,
        0.736696,
        0.678738,
        0.694,
        0.687281,
        0.781021,
        0.888093,
        0.854798,
        0.83266,
        0.861783,
        1.17721,
        0.903863,
        1.05551,
        0.952829,
        0.998917,
        1.23518,
        1.2829,
        1.31371,
        1.00877,
        0.859808,
        2.2166,
        1.53073,
        37.4825,
        5.58095,
        2.90981,
        2.52603,
        2.31346,
        1.37341,
        0.783439,
        0.926724,
        0.978523,
        1.38024,
        1.03475,
        0.612278,
        0.849127,
        0.936924,
        0.475183,
        0.539853,
        0.555799,
        0.72171,
        0.865925,
        0.979509,
        0.740929,
        0.607063,
        0.57823,
        0.772968,
        1.08832,
        0.976982,
        0.915049,
        0.835359,
        0.559483,
        0.645945,
        1.01242,
        0.956586,
        0.803842,
        0.788623,
        0.568922,
        0.668279,
        0.821847,
        1.01809,
        0.616698,
        0.931052,
        1.01277,
        1.2281,
        1.17817,
        0.771754,
        1.37561,
        0.778189,
        0.557146,
        0.736823,
        1.30082,
        1.23129,
        0.877012,
        0.866677,
        0.909799,
        1.16753,
        1.41544,
        0.768853,
        0.657622,
        1.46167,
        1.20376,
        0.657751,
        1.00674,
        1.04817,
        1.69203,
        1.63705,
        1.98138,
        2.05584,
        1.4741,
        2.52851,
        2.8257,
        13.0586,
        25.2703,
        3.34496,
        2.26742,
        2.78751,
        2.49393,
        1.5941,
        1.85624,
        1.38586,
        2.07239,
        0.971485,
        1.59054,
        2.87198,
        2.44162,
        2.75534,
        3.02636,
        4.00733,
        5.52652,
        3.94323,
        1.33641,
        1.05202,
        1.2181,
        0.900329,
        1.00679,
        0.83055,
        0.950448,
        0.575542,
        0.806365,
        0.668659,
        1.08478,
        1.54675,
        0.969642,
        0.822836,
        1.17839,
        0.79767,
        0.717712,
        0.967384,
        0.598082,
        0.366574,
        0.34047,
        0.400179,
        0.404476,
        0.478562,
        0.762038,
        0.541435,
        0.48093,
        0.831109,
        0.868147,
        0.771992,
        0.487936,
        0.413871,
        0.594397,
        0.69584,
        0.872427,
        0.632913,
        0.688535,
        0.920038,
        0.742345,
        0.662152,
        0.775134,
        0.829026,
        0.741518,
        0.872576,
        0.79087,
        0.837289,
        1.03708,
        0.839114,
        0.803441,
        0.910753,
        0.836636,
        0.732978,
        0.866458,
        1.05307,
        0.972565,
        1.00742,
        1.08436,
        0.883708,
        0.636002,
        0.853921,
        1.16204,
        1.03609,
        0.941928,
        0.806102,
        0.827714,
        0.897929,
        0.8468,
        0.874886,
        0.992496,
        0.855703,
        1.03985,
        0.961397,
        0.952115,
        0.924385,
        0.891278,
        0.969518,
        0.99484,
        1.06395,
        0.698977,
        0.692945,
        0.925231,
        0.711942,
        0.909131,
        1.10553,
        0.893143,
        0.682837,
        0.681716,
        0.791856,
        0.957649,
        0.886618,
        0.729075,
        0.686808,
        0.771694,
        0.591329,
        0.754627,
        0.895148,
        0.860683,
        0.850058,
        0.873756,
        0.742452,
        0.779392,
        0.948964,
        0.769905,
        0.756657,
        0.838649,
        0.946499,
        0.850538,
        0.857643,
        0.869726,
        0.809914,
        0.831565,
        0.904645,
        0.850671,
        0.879709,
        1.06138,
        1.0983,
        0.752664,
        0.797347,
        0.870241,
        0.924518,
        1.06942,
        1.20097,
        0.895107,
        0.627061,
        0.624567,
        0.525966,
        0.498032,
        0.801845,
        0.820163,
        0.782664,
        0.819359,
        0.907409,
        1.00727,
        0.801531,
        0.769362,
        0.801541,
        0.525005,
        0.765139,
        0.705651,
        0.672208,
        0.84084,
        0.92527,
        0.860634,
        0.938901,
        1.2391,
        0.894365,
        0.628847,
        0.833659,
        0.806847,
        0.897265,
        0.852106,
        0.618924,
        0.41701,
        0.697782,
        0.966109,
        0.799507,
        0.728468,
        0.687011,
        0.835365,
        1.27635,
        0.963341,
        1.2973,
        1.2692,
        1.10646,
        1.17242,
        0.612686,
        0.829223,
        1.43318,
        2.96367,
        1.53504,
        1.499,
        0.581144,
        0.860882,
        0.946903,
        0.906542,
        0.796639,
        0.904525,
        1.35638,
        1.22836,
        0.969734,
        0.761583,
        0.566725,
        0.486756,
        0.616059,
        1.00731,
        1.19465,
        1.0269,
        0.884864,
        1.02121,
        0.976098,
        0.745844,
        0.664812,
        0.741092,
        0.755302,
        0.713208,
        0.90744,
        1.02472,
        0.871808,
        0.988661,
        0.883981,
        0.862232,
        0.41209,
        0.312103,
        0.912553,
        1.21918,
        0.954735,
        0.738727,
        0.837788,
        0.810761,
        0.976349,
        0.993171,
        0.663855,
        0.793804,
        0.853836,
        0.68973,
        0.693604,
        0.763737,
        0.791957,
        0.69645,
        0.684943,
        0.865911,
        0.82006,
        0.689753,
        0.758209,
        0.895164,
        0.909637,
        1.01451,
        0.945377,
        0.862736,
        0.859165,
        0.829007,
        1.03599,
        0.987774,
        0.912717,
        0.944875,
        0.939072,
        1.03928,
        0.923689,
        0.997643,
        1.00081,
        0.984868,
        0.630875,
        0.574384,
        0.717728,
        0.699833,
        0.704525,
        0.886102,
        0.998576,
        0.716692,
        0.668601,
        0.820689,
        0.824882,
        1.19171,
        1.14579,
        1.03654,
        1.00341,
        0.811955,
        0.837794,
        0.887258,
        0.993331,
        0.866865,
        0.768594,
        0.792485,
        0.929342,
        0.955682,
        0.775499,
        0.861525,
        0.788539,
        0.641424,
        0.811777,
        0.890765,
        0.763715,
        0.672666,
        0.878558,
        1.19331,
        0.974778,
        0.672501,
        0.679281,
        0.779376,
        0.91021,
        0.913236,
        0.884113,
        0.767838,
        0.914653,
        0.941898,
        0.750904,
        0.616313,
        0.780205,
        0.919167,
        1.1019,
        1.08513,
        0.846774,
        0.534453,
        0.573634,
        0.932729,
        0.818968,
        0.727932,
        0.856389,
        0.764017,
        0.650818,
        0.731344,
        0.649599,
        0.638309,
        0.954231,
        0.837369,
        0.842516,
        0.733692,
        0.661829,
        0.716428,
        0.563279,
        0.591406,
        0.771104,
        0.598052,
        0.689864,
        1.00662,
        0.956589,
        0.993119,
        0.778037,
        0.804266,
        0.631347,
        0.270603,
        0.578412,
        0.748187,
        0.731087,
        0.583313,
        0.323,
        0.524025,
        0.530924,
        0.442924,
        0.616279,
        0.526716,
        0.762311,
        1.21842,
        1.1322,
        0.604223,
        null,
        0.945835,
        0.947419,
        0.903233,
        1.03807,
        1.05456,
        1.04083,
        0.869859,
        0.960542,
        1.08926,
        1.00167,
        0.951484,
        0.844085,
        0.847532,
        0.760329,
        0.813383,
        0.886136,
        1.0623,
        1.03498,
        0.936362,
        0.848544,
        0.818057,
        0.949188,
        0.665566,
        0.881197,
        0.668118,
        0.69677,
        0.688273,
        0.771337,
        0.911913,
        0.65187,
        0.754377,
        0.947455,
        0.828624,
        0.885103,
        0.803809,
        0.870223,
        0.861368,
        0.716247,
        0.930177,
        0.951234,
        0.762092,
        0.770109,
        0.681142,
        0.774461,
        0.872293,
        0.811081,
        0.827856,
        1.03479,
        1.0869,
        0.807116,
        0.827058,
        0.803036,
        1.06757,
        1.06198,
        0.844408,
        0.824433,
        0.969717,
        0.608245,
        0.644598,
        0.58603,
        0.562698,
        0.741413,
        0.882663,
        0.818259,
        0.72468,
        0.6519,
        0.819583,
        0.702128,
        0.762804,
        0.97526,
        0.834553,
        0.745666,
        0.670224,
        0.689745,
        0.584518,
        0.626065,
        0.75563,
        0.927385,
        0.468279,
        0.813441,
        1.00802,
        0.761833,
        0.994178,
        0.962965,
        0.798722,
        0.506947,
        0.455681,
        0.579515,
        0.715704,
        0.663778,
        0.584317,
        0.565915,
        0.621077,
        0.679679,
        0.866832,
        0.756272,
        0.62282,
        1.32901,
        0.888571,
        0.627348,
        0.909605,
        0.946663,
        1.65629,
        2.26071,
        0.913481,
        1.46261,
        0.911655,
        0.887941,
        0.619648,
        0.890667,
        1.09228,
        0.463932,
        0.46355,
        0.449256,
        0.396106,
        0.631274,
        0.762197,
        0.774842,
        0.691616,
        1.04019,
        0.871589,
        0.630569,
        0.794993,
        0.871532,
        0.900376,
        1.07667,
        0.640095,
        0.636095,
        0.787704,
        0.869104,
        0.755431,
        0.943673,
        0.825171,
        0.974211,
        0.651511,
        0.583234,
        0.855408,
        0.820838,
        0.809474,
        0.644108,
        0.77439,
        0.825208,
        0.907375,
        0.80065,
        0.874554,
        0.859176,
        0.588493,
        0.54407,
        0.514643,
        0.860514,
        0.703382,
        0.740711,
        0.776701,
        0.721494,
        0.748533,
        0.700789,
        0.670094,
        0.830546,
        1.19399,
        1.07535,
        0.828514,
        0.950143,
        0.858701,
        0.731258,
        0.694623,
        0.60318,
        0.561046,
        0.588962,
        0.675363,
        0.664624,
        0.707582,
        1.06623,
        0.801915,
        0.598867,
        0.87023,
        0.8295,
        0.879355,
        0.830344,
        0.728917,
        0.687034,
        0.709759,
        0.760971,
        0.78293,
        0.852419,
        0.836308,
        0.624552,
        0.870583,
        0.887218,
        0.689504,
        0.831114,
        0.712053,
        0.830685,
        0.808457,
        0.952641,
        0.837444,
        0.819774,
        0.827822,
        0.767042,
        0.72756,
        0.727993,
        0.869107,
        0.876057,
        0.747314,
        0.752243,
        0.918347,
        0.973737,
        0.961358,
        0.929146,
        0.753068,
        0.792748,
        0.941367,
        0.998695,
        0.873571,
        0.717845,
        0.843311,
        0.979565,
        0.741597,
        0.760966,
        0.839916,
        0.780255,
        0.81842,
        0.766303,
        0.836605,
        0.786095,
        0.761273,
        0.755099,
        0.818915,
        0.781937,
        0.875926,
        0.737908,
        0.794718,
        0.701241,
        0.66963,
        0.702026,
        0.694928,
        0.649349,
        0.772114,
        0.716606,
        0.672378,
        0.794662,
        0.708517,
        0.47554,
        0.436136,
        0.800478,
        0.627783,
        0.50138,
        0.512098,
        0.713538,
        0.654657,
        0.522557,
        0.481445,
        0.51021,
        0.484289,
        2.24433,
        1.80058,
        2.21205,
        0.731267,
        0.48913,
        0.698143,
        0.815552,
        0.918107,
        0.81196,
        0.947714,
        0.766173,
        0.937357,
        0.847324,
        0.941413,
        1.0543,
        0.898312,
        0.983784,
        0.717446,
        0.799526,
        1.06234,
        0.911602,
        0.941198,
        0.731044,
        0.758978,
        0.945273,
        0.868292,
        0.92978,
        0.571791,
        0.809114,
        0.732959,
        0.974838,
        0.763162,
        0.841899,
        0.788608,
        0.872018,
        0.763346,
        0.676026,
        0.814175,
        0.676596,
        0.680299,
        0.710123,
        0.798989,
        0.732112,
        0.75285,
        0.718937,
        0.709587,
        0.836873,
        0.869232,
        0.85648,
        0.776875,
        0.811825,
        0.850438,
        0.832897,
        0.859424,
        0.794833,
        0.79696,
        0.857723,
        0.793983,
        0.584406,
        0.75752,
        0.764057,
        0.882729,
        0.942087,
        0.82991,
        0.954102,
        0.975706,
        0.903483,
        0.7854,
        0.901165,
        0.776448,
        0.673639,
        0.701384,
        0.808052,
        0.992432,
        0.821368,
        0.842876,
        0.862858,
        0.862459,
        0.823698,
        0.802026,
        0.764752,
        0.830634,
        0.87487,
        0.700365,
        0.630458,
        0.689355,
        0.849972,
        0.975575,
        0.960147,
        0.898279,
        0.701489,
        0.807145,
        0.909205,
        0.999893,
        0.873402,
        0.86128,
        0.750743,
        0.963508,
        0.983778,
        0.825945,
        0.839827,
        0.890389,
        1.01185,
        0.986365,
        0.864878,
        0.927093,
        0.877314,
        0.952734,
        0.939166,
        0.991326,
        0.94182,
        0.744887,
        1.0555,
        0.889425,
        0.76088,
        0.948681,
        1.04017,
        0.821505,
        0.956259,
        0.911584,
        1.05372,
        0.987967,
        0.836542,
        0.85716,
        0.952152,
        0.957784,
        0.928163,
        1.03625,
        1.05648,
        0.92484,
        0.89525,
        0.750076,
        0.742583,
        1.02723,
        1.03649,
        0.80849,
        0.77506,
        0.859307,
        0.747384,
        0.93141,
        0.907075,
        1.01326,
        0.914268,
        1.06941,
        1.06413,
        0.809903,
        1.2523,
        1.00559,
        0.827512,
        0.994358,
        0.757792,
        0.800269,
        1.16483,
        0.981426,
        0.622046,
        0.982794,
        1.38372,
        1.06191,
        3.58245,
        7.58505,
        7.69617,
        1.91384,
        1.10652,
        0.816832,
        0.647633,
        1.14186,
        0.76915,
        0.69235,
        0.983004,
        0.957601,
        0.748054,
        0.700671,
        0.690996,
        0.808459,
        1.06312,
        0.938848,
        0.747577,
        1.00374,
        0.895759,
        0.96191,
        1.06118,
        0.788327,
        0.85349,
        0.865304,
        0.840347,
        0.849426,
        0.784871,
        0.875738,
        1.07152,
        0.768567,
        0.782799,
        1.00207,
        0.832737,
        1.02005,
        1.21773,
        1.04917,
        0.923318,
        0.757845,
        1.00273,
        0.955849,
        0.929915,
        0.929631,
        0.869021,
        0.716785,
        0.842945,
        1.02208,
        1.02077,
        0.921062,
        0.950117,
        0.95101,
        1.03153,
        0.994004,
        0.963664,
        0.913183,
        0.760388,
        0.721196,
        0.816218,
        0.939386,
        0.80949,
        0.871661,
        0.892521,
        0.657371,
        0.817029,
        0.826172,
        0.885052,
        0.900634,
        0.814429,
        0.904733,
        0.847445,
        0.811246,
        0.662593,
        0.641981,
        0.714434,
        0.853998,
        0.94925,
        0.869732,
        0.882523,
        0.980901,
        0.949052,
        0.810138,
        0.734424,
        0.721962,
        0.692736,
        0.844842,
        0.801196,
        0.816411,
        0.883686,
        0.903665,
        0.989642,
        0.926243,
        0.837234,
        0.741879,
        0.87568,
        0.926772,
        0.755869,
        0.890322,
        0.74884,
        0.789831,
        0.830229,
        0.873208,
        0.721507,
        0.794162,
        0.824696,
        0.917291,
        0.708895,
        0.819332,
        0.907201,
        1.01765,
        0.837037,
        0.866746,
        0.871113,
        1.03453,
        0.854977,
        0.618663,
        0.67282,
        0.859771,
        0.760931,
        0.725615,
        0.792814,
        0.770314,
        0.735164,
        0.856293,
        0.821999,
        0.864097,
        0.980886,
        0.860578,
        0.669163,
        0.868317,
        0.844787,
        0.911984,
        1.05321,
        0.843372,
        0.798059,
        0.965135,
        0.877794,
        0.692546,
        0.670064,
        0.810261,
        1.02425,
        0.998779,
        0.906181,
        0.917101,
        0.935828,
        0.644253,
        0.660352,
        0.906688,
        0.706689,
        0.73819,
        0.660171,
        0.608383,
        0.944984,
        0.855279,
        0.68843,
        0.730371,
        1.00627,
        0.940776,
        0.74421,
        1.1078,
        1.43491,
        1.24071,
        2.11858,
        1.32322,
        0.621698,
        1.11077,
        1.01468,
        0.811842,
        0.84724,
        0.873762,
        0.851769,
        0.85679,
        0.945556,
        1.00631,
        0.946046,
        0.819698,
        0.760564,
        0.664334,
        0.720649,
        0.720642,
        0.98921,
        1.05353,
        0.945768,
        0.912434,
        0.770472,
        0.761933,
        0.641734,
        0.847686,
        1.01281,
        0.782857,
        0.77137,
        1.00682,
        0.912229,
        0.801331,
        0.82934,
        1.04682,
        0.912582,
        0.687622,
        0.690554,
        0.687042,
        0.690425,
        0.810941,
        0.935352,
        0.759387,
        0.731821,
        0.672445,
        0.597841,
        0.824546,
        0.924754,
        0.789593,
        0.705203,
        0.779849,
        0.849484,
        0.822209,
        0.803671,
        0.823634,
        0.813776,
        0.849416,
        0.938475,
        0.966473,
        0.838926,
        0.817367,
        0.785238,
        0.833016,
        0.807036,
        0.644,
        0.863857,
        1.08706,
        0.995283,
        0.886124,
        0.813111,
        0.649819,
        0.751847,
        0.759229,
        0.924705,
        1.01099,
        0.899017,
        0.77361,
        0.742312,
        0.854964,
        0.723632,
        0.971864,
        1.02639,
        0.91007,
        0.979919,
        0.892508,
        0.790138,
        0.679455,
        0.758932,
        0.691075,
        0.706542,
        0.807934,
        0.813452,
        0.702139,
        0.763076,
        0.89307,
        0.832528,
        0.913084,
        0.96355,
        0.848198,
        0.872836,
        0.849541,
        1.02082,
        1.03177,
        0.863701,
        0.785343,
        0.737452,
        0.821108,
        0.800669,
        1.04677,
        0.789965,
        0.880437,
        0.928264,
        0.79687,
        0.775078,
        0.865469,
        0.822304,
        0.660612,
        0.765754,
        0.894856,
        1.01112,
        0.844054,
        0.705366,
        0.645162,
        0.726004,
        0.60949,
        0.733844,
        0.804883,
        0.81496,
        0.688304,
        0.783319,
        0.823971,
        0.7539,
        0.740327,
        0.658569,
        0.807259,
        0.78932,
        0.698104,
        0.705554,
        0.642018,
        0.885323,
        0.842253,
        0.824897,
        0.726173,
        0.788395,
        0.819335,
        0.958396,
        0.892515,
        0.88425,
        0.947862,
        0.910591,
        0.68138,
        0.614906,
        0.685462,
        0.627222,
        0.645844,
        0.802504,
        0.743461,
        0.888874,
        0.892897,
        0.997396,
        0.71574,
        0.659678,
        0.69684,
        1.29641,
        1.55534,
        4.36945,
        5.50972,
        7.311,
        17.1342,
        11.6952,
        18.7816,
        3.96816,
        2.02872,
        1.33363,
        1.11051,
        1.19391,
        0.750373,
        0.747882,
        0.659429,
        0.410185,
        1.05203,
        1.17732,
        1.14398,
        0.699026,
        0.628823,
        0.890453,
        0.982491,
        0.927611,
        0.898369,
        0.8655,
        0.931523,
        0.990684,
        0.898275,
        0.841911,
        0.885778,
        0.832184,
        1.00738,
        0.847595,
        0.978117,
        0.947829,
        0.896041,
        0.904349,
        0.847311,
        0.904423,
        0.937506,
        0.954898,
        0.965109,
        0.771333,
        0.802931,
        0.813165,
        0.888135,
        0.983788,
        0.823233,
        0.926585,
        0.835299,
        0.851153,
        0.944003,
        1.03843,
        1.0825,
        1.01223,
        0.925372,
        0.840637,
        0.911039,
        0.726463,
        0.823989,
        0.902276,
        1.07259,
        0.978121,
        0.814571,
        0.813315,
        0.905207,
        0.911422,
        0.756704,
        0.852386,
        0.798785,
        0.825166,
        0.877648,
        0.790656,
        0.83244,
        0.888809,
        0.768069,
        0.736181,
        0.755498,
        1.01978,
        0.948223,
        0.878986,
        0.950287,
        0.803135,
        0.742452,
        0.756805,
        0.870143,
        0.812524,
        0.759624,
        0.867614,
        0.765132,
        0.753286,
        0.854204,
        0.97948,
        0.702001,
        0.866002,
        0.972048,
        0.881141,
        0.91135,
        1.00244,
        0.925011,
        1.03096,
        0.668593,
        0.848757,
        0.776559,
        0.77125,
        0.774216,
        0.906664,
        1.10184,
        1.02617,
        0.974519,
        0.966832,
        0.83486,
        1.02181,
        0.967649,
        0.916629,
        0.868631,
        0.935948,
        1.10231,
        1.03261,
        0.941132,
        0.96305,
        0.898517,
        0.947671,
        0.937253,
        0.923094,
        0.993387,
        0.951453,
        0.807476,
        0.999254,
        0.947824,
        0.929761,
        1.05018,
        0.99089,
        0.911277,
        0.952121,
        1.06625,
        1.04093,
        1.02958,
        1.02066,
        1.01845,
        1.07242,
        0.95923,
        0.834482,
        1.16229,
        1.20453,
        1.17915,
        1.20408,
        1.26773,
        0.924403,
        0.620252,
        0.690074,
        0.957202,
        1.0393,
        0.930645,
        1.15315,
        1.06449,
        0.876344,
        0.790916,
        0.935921,
        0.97029,
        0.954664,
        0.989889,
        0.630918,
        1.04593,
        0.962727,
        0.913081,
        0.730646,
        1.12082,
        1.17269,
        1.07848,
        1.24019,
        1.30119,
        1.10147,
        0.959099,
        1.29983,
        0.747284,
        4.15239,
        0.58531,
        0.449578,
        1.10291,
        0.918319,
        0.654219,
        0.722278,
        0.424341,
        0.746892,
        0.862241,
        0.69366,
        0.543674,
        0.707627,
        0.800544,
        0.970016,
        0.720916,
        0.643876,
        0.868298,
        0.988737,
        0.96127,
        0.99883,
        0.900154,
        1.03923,
        0.859354,
        0.843654,
        0.932036,
        0.907098,
        0.871635,
        0.951073,
        0.901913,
        0.813402,
        0.814308,
        0.856121,
        0.880726,
        0.993334,
        1.0023,
        0.82176,
        0.526489,
        0.644876,
        0.860927,
        0.828698,
        0.760068,
        0.801078,
        0.745023,
        0.665288,
        0.776885,
        0.847532,
        0.98324,
        1.00855,
        0.901385,
        0.863835,
        0.899609,
        0.735867,
        0.676273,
        0.812556,
        0.892277,
        0.769141,
        0.828893,
        0.969478,
        0.97676,
        0.910161,
        0.707411,
        0.840662,
        0.867353,
        0.864806,
        0.899921,
        0.886495,
        0.859616,
        0.908344,
        1.05291,
        0.76726,
        0.759777,
        0.720915,
        0.815882,
        0.708203,
        0.797312,
        0.847443,
        0.654077,
        0.734461,
        0.83892,
        0.77294,
        0.840047,
        0.754324,
        0.672083,
        0.782848,
        0.909228,
        0.989002,
        0.854022,
        0.766013,
        0.683722,
        0.740662,
        0.867069,
        0.953395,
        0.872807,
        0.915255,
        0.89039,
        0.663485,
        0.750588,
        0.914469,
        0.804389,
        0.898656,
        0.968744,
        0.867502,
        0.897917,
        0.830877,
        0.773108,
        0.763168,
        0.680061,
        0.855057,
        0.827615,
        0.67923,
        0.751539,
        0.836949,
        0.631016,
        0.348288,
        0.494592,
        0.590029,
        0.609376,
        0.780369,
        0.809084,
        0.946537,
        0.894087,
        0.862226,
        0.614895,
        0.795194,
        0.745285,
        0.752704,
        0.452525,
        0.630914,
        0.771555,
        0.81309,
        0.762529,
        0.781204,
        0.883797,
        0.757642,
        0.869568,
        0.844891,
        0.703859,
        0.695828,
        0.755656,
        0.821174,
        0.732069,
        0.72892,
        0.593847,
        0.704277,
        0.771716,
        0.751031,
        0.819407,
        0.887191,
        0.924164,
        0.946753,
        0.950602,
        0.958731,
        0.755876,
        0.743172,
        0.793639,
        0.925339,
        0.708836,
        0.908405,
        0.91626,
        0.83823,
        0.932039,
        0.843565,
        0.759939,
        0.917579,
        0.752661,
        0.623109,
        0.620063,
        0.56104,
        3.47284,
        3.13407,
        1.14567,
        1.06478,
        1.09762,
        0.954885,
        1.02618,
        0.791446,
        0.712402,
        0.713886,
        0.79241,
        0.880679,
        0.653966,
        0.781101,
        0.720964,
        0.846032,
        0.933027,
        0.889709,
        0.941518,
        0.911525,
        0.828652,
        0.700745,
        0.770639,
        0.778069,
        0.739001,
        0.728481,
        0.620066,
        0.712884,
        0.849766,
        0.75264,
        0.659821,
        0.846395,
        0.787348,
        0.811324,
        0.846596,
        0.500731,
        0.758294,
        0.851993,
        0.949426,
        1.00851,
        0.737814,
        0.76562,
        0.730021,
        0.744135,
        0.657838,
        0.755356,
        0.763466,
        0.819485,
        0.717552,
        0.703343,
        0.698235,
        0.738358,
        0.846963,
        0.901622,
        0.639818,
        0.689378,
        0.853885,
        0.9737,
        0.70311,
        0.679609,
        0.688775,
        0.836123,
        0.774792,
        0.794591,
        0.841121,
        0.908888,
        0.74554,
        0.834216,
        0.807492,
        0.748849,
        0.672396,
        0.727447,
        0.692922,
        0.782836,
        0.816622,
        0.865376,
        0.820327,
        0.87088,
        0.765662,
        0.77328,
        0.948186,
        0.965459,
        0.856393,
        0.836259,
        0.686267,
        0.734032,
        0.739833,
        0.68056,
        0.855998,
        0.937861,
        0.850667,
        0.882582,
        0.91697,
        0.866701,
        0.817922,
        0.838111,
        0.728333,
        0.768918,
        0.8548,
        0.90724,
        0.887293,
        0.847567,
        0.689734,
        0.690319,
        0.719324,
        0.769971,
        0.908454,
        0.87695,
        0.789598,
        0.787176,
        0.838282,
        0.802954,
        0.943093,
        0.929204,
        0.898655,
        0.912539,
        0.949775,
        1.0202,
        0.967119,
        0.720819,
        0.820631,
        0.936591,
        0.954315,
        0.888775,
        0.842273,
        0.827244,
        0.701091,
        0.679134,
        0.821542,
        0.777834,
        0.775334,
        0.854294,
        0.805226,
        0.69733,
        0.941121,
        0.756897,
        0.629496,
        0.842876,
        0.805509,
        0.771192,
        0.84595,
        0.699817,
        0.757111,
        0.928732,
        0.916235,
        0.719708,
        0.75654,
        0.841785,
        0.718918,
        0.90817,
        0.928475,
        1.09464,
        1.00994,
        0.784281,
        0.725339,
        0.860574,
        1.05168,
        0.915516,
        0.859681,
        0.704621,
        0.731013,
        1.06499,
        0.905589,
        1.05616,
        1.00058,
        1.02621,
        0.943902,
        1.17694,
        1.12894,
        0.862962,
        0.687646,
        0.627782,
        0.543923,
        2.14471,
        1.48985,
        5.2231,
        0.911735,
        1.19166,
        0.712287,
        0.58494,
        0.557811,
        0.579444,
        0.803783,
        0.737877,
        0.64867,
        0.668142,
        0.82846,
        0.919001,
        0.776275,
        0.808737,
        0.652351,
        0.618718,
        0.760774,
        0.812424,
        0.874679,
        1.04245,
        0.891491,
        0.763387,
        0.897074,
        0.901175,
        0.922029,
        0.996993,
        0.939624,
        0.903391,
        0.886872,
        0.947139,
        0.883025,
        0.82037,
        0.821831,
        0.826085,
        0.760617,
        0.804196,
        0.866172,
        1.05004,
        0.911703,
        0.682822,
        0.622996,
        0.656996,
        0.748587,
        0.720694,
        0.779125,
        0.715458,
        0.785234,
        0.692708,
        0.936543,
        0.797178,
        0.725999,
        0.711009,
        1.04711,
        1.04601,
        0.989533,
        0.920981,
        1.03336,
        0.995486,
        0.898235,
        0.735431,
        0.844443,
        0.847147,
        0.716888,
        0.775501,
        0.927728,
        0.966738,
        0.923569,
        0.858084,
        0.859172,
        0.895839,
        0.767407,
        0.78091,
        0.925487,
        0.880626,
        0.719803,
        0.79739,
        0.729592,
        0.848533,
        0.660419,
        0.816802,
        0.730184,
        0.796421,
        1.01491,
        0.936049,
        0.931562,
        0.822738,
        0.772802,
        0.955379,
        0.982435,
        0.722977,
        0.790048,
        0.790387,
        0.835432,
        0.934722,
        0.996496,
        0.614252,
        0.642362,
        0.541368,
        0.92984,
        1.25138,
        1.06636,
        1.02067,
        0.737965,
        1.01562,
        0.9366,
        1.15357,
        0.718748,
        0.635825,
        0.878861,
        4.03971,
        4.08944,
        1.92444,
        0.701462,
        0.990996,
        0.791908,
        0.935822,
        0.435344,
        0.486799,
        0.671548,
        0.395725,
        0.564394,
        0.730013,
        0.993762,
        1.16281,
        1.14618,
        0.831068,
        0.767146,
        0.984808,
        1.23716,
        1.00907,
        1.21042,
        1.23341,
        1.31324,
        1.2834,
        1.33778,
        1.13149,
        1.09562,
        1.16748,
        0.528593,
        0.727017,
        0.98404,
        1.11592,
        1.11938,
        1.02394,
        0.862584,
        1.02384,
        0.99122,
        0.778972,
        0.881637,
        1.11364,
        0.850934,
        1.01417,
        0.782288,
        0.724786,
        0.625526,
        0.712254,
        0.566478,
        0.890591,
        0.87027,
        1.06255,
        0.721044,
        0.387449,
        0.689484,
        0.671944,
        0.890459,
        0.847536,
        2.58513,
        1.86205,
        1.23348,
        0.688428,
        0.860267,
        0.595338,
        0.834993,
        1.06183,
        0.93078,
        0.776383,
        0.95038,
        0.99761,
        0.970383,
        0.803689,
        0.967128,
        0.924181,
        0.92762,
        1.119,
        0.932925,
        1.00965,
        1.00799,
        0.888135,
        1.00609,
        0.910037,
        0.800464,
        0.935323,
        0.858209,
        0.773646,
        0.922512,
        0.91805,
        0.68474,
        0.581046,
        0.884661,
        0.939004,
        0.711521,
        0.770006,
        0.930532,
        0.969525,
        0.745975,
        0.816914,
        0.886066,
        0.851658,
        0.892946,
        0.790941,
        0.922445,
        0.988984,
        1.0321,
        0.851977,
        0.829952,
        0.65616,
        0.775957,
        0.840096,
        0.935953,
        0.782968,
        0.667415,
        0.632866,
        0.522648,
        0.606106,
        0.716015,
        0.736776,
        0.812826,
        0.809692,
        0.634362,
        0.68786,
        0.705629,
        0.606513,
        0.719892,
        0.997184,
        0.766468,
        0.819906,
        0.701829,
        0.799346,
        0.917663,
        0.707886,
        0.783782,
        0.767998,
        0.688187,
        0.740847,
        0.892428,
        0.697818,
        0.771941,
        0.957296,
        0.903801,
        0.79867,
        0.841124,
        0.719898,
        0.945164,
        0.711577,
        0.819605,
        0.827687,
        0.829391,
        0.627208,
        0.696093,
        0.823447,
        0.954666,
        0.896473,
        0.891544,
        0.917175,
        0.916235,
        0.808788,
        0.91919,
        0.875737,
        0.864127,
        0.736507,
        0.716405,
        0.645185,
        0.81803,
        0.786603,
        0.734903,
        0.707372,
        0.808923,
        0.910167,
        0.933665,
        0.899886,
        0.828374,
        0.962052,
        0.712337,
        0.583649,
        0.708447,
        0.834585,
        0.937634,
        0.697883,
        0.625604,
        0.626346,
        0.651579,
        0.779032,
        0.627404,
        0.483563,
        0.707569,
        0.634163,
        0.780481,
        0.79741,
        0.74403,
        0.833268,
        0.699254,
        0.811106,
        0.865152,
        0.966661,
        0.9178,
        0.879177,
        0.80167,
        0.86667,
        0.793091,
        0.822912,
        0.741163,
        0.764179,
        0.65433,
        0.746063,
        0.763383,
        0.876139,
        0.779944,
        0.620779,
        0.773336,
        0.88084,
        0.83227,
        0.894807,
        1.0571,
        0.769235,
        0.665541,
        0.55026,
        0.586804,
        0.926956,
        1.08826,
        0.999079,
        0.754393,
        0.628476,
        0.629672,
        0.954482,
        1.07929,
        0.874244,
        0.783514,
        0.870688,
        0.795359,
        0.9216,
        0.772039,
        1.10426,
        0.926447,
        0.537771,
        0.565748,
        1.06072,
        1.00612,
        0.878337,
        2.69784,
        0.849207,
        0.746824,
        1.52497,
        1.39899,
        1.46257,
        1.11807,
        0.672592,
        0.907546,
        0.808408,
        0.67835,
        0.810394,
        0.726793,
        0.881459,
        0.785386,
        0.529923,
        0.492981,
        0.762174,
        1.00134,
        0.868734,
        1.02336,
        0.84231,
        0.707269,
        0.753861,
        0.717906,
        0.440979,
        0.406568,
        1.16104,
        1.20234,
        0.859378,
        0.589455,
        1.27544,
        1.3731,
        0.901734,
        1.11697,
        1.22681,
        0.809173,
        1.16823,
        1.14639,
        0.77031,
        0.748369,
        0.801094,
        0.676318,
        0.694827,
        0.877001,
        1.04329,
        0.52214,
        0.537552,
        0.499412,
        0.427709,
        0.937778,
        1.03699,
        0.600409,
        0.648632,
        0.918656,
        0.804361,
        0.572128,
        0.768799,
        0.564039,
        0.364045,
        0.619741,
        0.493354,
        0.489798,
        0.722955,
        0.918241,
        0.918916,
        0.511092,
        0.714905,
        0.637132,
        0.737461,
        0.951716,
        0.758569,
        0.907428,
        0.633573,
        0.593951,
        0.661871,
        0.720823,
        0.919604,
        0.665707,
        0.622338,
        0.658203,
        0.761179,
        0.806,
        0.849597,
        0.669406,
        0.605608,
        0.644015,
        0.577844,
        0.802166,
        0.729551,
        0.86531,
        0.777572,
        0.740898,
        1.10006,
        1.00041,
        0.758723,
        0.858291,
        0.870405,
        0.620003,
        0.747623,
        0.927545,
        0.652975,
        0.731716,
        0.879234,
        0.826555,
        0.668774,
        0.750916,
        0.81106,
        0.856095,
        0.868922,
        0.716864,
        0.531592,
        0.697532,
        0.887518,
        0.923683,
        0.822756,
        0.746684,
        0.721,
        0.689815,
        0.960555,
        0.841317,
        0.701977,
        0.836073,
        0.704614,
        0.753633,
        0.944911,
        0.609946,
        0.569518,
        0.67997,
        0.958935,
        1.05984,
        1.47185,
        1.35833,
        0.831853,
        0.756548,
        0.532379,
        0.906996,
        1.00684,
        0.643373,
        0.651072,
        0.505821,
        0.641067,
        0.562283,
        0.914836,
        1.01369,
        0.682463,
        0.682238,
        0.57954,
        0.716075,
        0.807248,
        0.705412,
        0.94939,
        0.938381,
        0.679001,
        0.763134,
        0.897465,
        0.964845,
        0.782919,
        0.811365,
        0.941549,
        0.863245,
        0.762587,
        0.680621,
        0.615425,
        0.709208,
        0.756002,
        0.802973,
        0.748061,
        0.601788,
        0.492042,
        0.466084,
        0.611795,
        0.692381,
        0.878845,
        1.00554,
        0.867104,
        0.838486,
        0.759342,
        0.827065,
        0.602222,
        0.763621,
        0.701516,
        0.836728,
        0.786219,
        0.746831,
        0.779813,
        0.639453,
        0.698621,
        0.661451,
        0.7587,
        0.788496,
        0.751119,
        0.9006,
        1.10057,
        1.25793,
        1.08607,
        0.740685,
        0.576351,
        0.684366,
        0.695745,
        0.581162,
        0.55617,
        0.574256,
        0.490986,
        0.743325,
        0.838142,
        1.0101,
        1.01093,
        1.21354,
        0.858813,
        0.543855,
        1.07284,
        1.2038,
        0.978585,
        0.814827,
        0.802015,
        0.562403,
        0.423794,
        0.534787,
        null,
        0.696039,
        1.12516,
        0.85919,
        0.592803,
        0.81217,
        0.8351,
        0.807734,
        0.79811,
        0.672285,
        0.686495,
        0.640201,
        0.847185,
        0.624202,
        0.780916,
        0.931959,
        0.903807,
        0.832436,
        0.908617,
        0.828286,
        0.937763,
        0.819199,
        0.677744,
        0.840756,
        0.822452,
        1.06359,
        0.909105,
        0.73001,
        0.777244,
        0.934291,
        0.81619,
        0.87226,
        1.0334,
        0.920868,
        1.00199,
        0.895324,
        0.760234,
        0.966098,
        0.91936,
        0.914673,
        0.66765,
        0.552893,
        0.513162,
        0.692607,
        0.669537,
        0.685664,
        0.788805,
        0.918403,
        0.680517,
        0.812563,
        0.821652,
        0.714824,
        0.766045,
        0.881195,
        0.7279,
        0.698849,
        0.811658,
        0.752727,
        0.531398,
        0.631307,
        0.945274,
        0.919446,
        0.8288,
        0.816396,
        0.636458,
        0.567622,
        0.77955,
        0.746627,
        0.767047,
        0.805551,
        0.730382,
        0.869174,
        0.773167,
        0.877357,
        0.682727,
        0.572439,
        0.718876,
        0.735368,
        0.588551,
        0.569022,
        0.709801,
        0.695251,
        0.850331,
        0.828962,
        0.604076,
        0.762818,
        0.883142,
        0.711147,
        0.602114,
        0.826741,
        0.811928,
        0.888795,
        0.927578,
        0.919034,
        0.965638,
        0.895011,
        0.894638,
        0.820411,
        0.912947,
        0.915741,
        0.834719,
        0.829456,
        0.797761,
        0.86783,
        0.854482,
        0.831204,
        0.937769,
        0.879639,
        0.867357,
        0.873894,
        0.88662,
        1.23971,
        1.04066,
        0.764818,
        0.963849,
        0.771466,
        1.08261,
        1.04643,
        0.986436,
        0.870903,
        0.885172,
        0.901834,
        0.854506,
        0.795196,
        0.889647,
        0.969254,
        0.912489,
        0.796346,
        0.743371,
        0.775455,
        1.0238,
        0.963638,
        0.961466,
        0.880414,
        0.824131,
        0.861553,
        0.95732,
        0.906012,
        0.986005,
        0.855436,
        1.02027,
        1.0428,
        0.920669,
        0.654498,
        0.9125,
        0.989232,
        0.899243,
        0.958243,
        1.25057,
        1.11437,
        0.844831,
        0.996652,
        0.987137,
        0.942663,
        1.01992,
        0.858309,
        0.942308,
        0.902607,
        0.926464,
        0.857743,
        0.772544,
        0.866481,
        1.19835,
        0.945918,
        1.05027,
        1.21216,
        1.02107,
        1.02616,
        1.02752,
        1.0165,
        0.979156,
        0.827013,
        0.878495,
        1.00578,
        1.00105,
        1.03118,
        0.933909,
        0.85197,
        0.932151,
        0.617451,
        0.757838,
        0.745745,
        0.700798,
        0.68138,
        0.542901,
        0.720855,
        0.815551,
        0.820729,
        0.783302,
        0.609962,
        0.642609,
        0.842902,
        0.824063,
        0.795162,
        0.865159,
        1.01924,
        0.775347,
        0.824707,
        0.78649,
        0.687586,
        0.783243,
        0.751279,
        0.83696,
        0.924773,
        0.689476,
        0.751671,
        0.902703,
        0.946119,
        0.996439,
        0.971917,
        0.81166,
        0.815752,
        0.612086,
        0.765844,
        0.699942,
        0.892458,
        1.08147,
        0.980288,
        0.720635,
        0.643636,
        0.800722,
        0.735439,
        0.697913,
        0.615385,
        0.757574,
        0.756682,
        0.962073,
        0.909036,
        0.816081,
        0.714159,
        0.733559,
        0.85461,
        0.888651,
        0.748788,
        0.908846,
        0.779279,
        0.543237,
        0.70885,
        0.626412,
        0.806633,
        0.872653,
        0.50376,
        0.488954,
        0.663775,
        0.810441,
        0.85525,
        0.592032,
        0.934465,
        1.02848,
        1.16664,
        0.829015,
        1.00253,
        0.898595,
        0.9829,
        0.728766,
        1.04245,
        1.38785,
        1.43237,
        1.96509,
        3.27346,
        1.23964,
        0.813041,
        1.2146,
        0.626242,
        0.768783,
        1.23848,
        1.11866,
        0.737545,
        0.987771,
        1.00126,
        0.876007,
        0.585869,
        0.934674,
        0.954602,
        0.696271,
        0.467536,
        0.267372,
        0.52353,
        0.836404,
        1.14732,
        0.924405,
        0.855682,
        0.887026,
        0.887812,
        0.796401,
        0.721443,
        0.766867,
        0.921621,
        0.894486,
        0.947782,
        0.858707,
        0.785684,
        0.361428,
        0.859807,
        0.991393,
        0.755532,
        0.748833,
        0.881963,
        1.08012,
        0.92226,
        1.14118,
        0.962874,
        0.83404,
        1.02712,
        1.02886,
        1.07501,
        1.0442,
        1.09732,
        1.07359,
        1.18673,
        1.19794,
        0.920664,
        0.88296,
        0.889106,
        1.01205,
        1.13371,
        1.11875,
        0.868938,
        0.673104,
        1.23863,
        1.17209,
        0.913919,
        0.945565,
        0.931414,
        1.09378,
        1.12646,
        1.10905,
        0.94881,
        1.01912,
        1.04331,
        0.824925,
        0.685205,
        0.64807,
        0.735678,
        0.468833,
        0.435286,
        0.493246,
        0.339349,
        0.379801,
        0.484653,
        0.704607,
        0.704229,
        0.779398,
        0.854306,
        0.747895,
        0.637406,
        0.538531,
        0.727974,
        0.669821,
        0.699568,
        0.746576,
        0.812098,
        0.755087,
        0.732994,
        0.821472,
        0.893346,
        0.953294,
        1.00274,
        0.929915,
        0.904112,
        0.890596,
        0.849739,
        0.793243,
        0.769965,
        0.910279,
        1.00435,
        0.760926,
        0.686105,
        0.873022,
        0.793761,
        0.822015,
        1.00461,
        1.0524,
        0.914469,
        0.985107,
        1.00199,
        0.904943,
        0.964568,
        0.924333,
        0.738056,
        0.784787,
        0.95058,
        0.897321,
        0.848697,
        0.874381,
        0.852658,
        0.870841,
        0.778143,
        0.835766,
        0.821378,
        0.761112,
        0.857241,
        0.856263,
        0.929621,
        0.783663,
        0.903753,
        0.9412,
        0.901056,
        0.805795,
        0.74537,
        0.846641,
        0.864882,
        0.821481,
        0.780633,
        0.7433,
        0.941944,
        0.968907,
        0.950427,
        0.899306,
        0.963148,
        0.906116,
        0.877501,
        0.821289,
        0.739048,
        0.86223,
        0.904616,
        0.792802,
        0.932913,
        0.88061,
        0.727111,
        0.792033,
        0.751401,
        0.823153,
        0.792202,
        0.8136,
        0.891295,
        0.886015,
        0.751379,
        0.832576,
        0.872314,
        0.861702,
        0.946236,
        0.9095,
        0.770696,
        0.765775,
        0.712705,
        0.813406,
        0.878332,
        0.755482,
        0.831637,
        0.991425,
        0.949385,
        0.80032,
        0.776531,
        0.877286,
        0.857857,
        0.869343,
        0.834802,
        0.828421,
        0.816718,
        0.749425,
        0.863276,
        0.910036,
        0.921053,
        0.866933,
        0.91001,
        0.835814,
        0.756205,
        0.841973,
        0.909179,
        0.996095,
        0.915603,
        0.819978,
        0.851451,
        0.720125,
        0.779129,
        0.978426,
        0.909369,
        0.983917,
        0.814804,
        0.880017,
        0.862009,
        0.653982,
        0.796913,
        0.843132,
        0.790242,
        0.851963,
        0.721123,
        0.834857,
        0.860149,
        0.909405,
        0.815935,
        0.612462,
        0.750074,
        0.907842,
        0.749633,
        0.719142,
        0.769956,
        0.630737,
        0.86812,
        1.12125,
        0.828229,
        0.558245,
        0.626943,
        0.601356,
        0.517345,
        0.684708,
        0.710375,
        0.705156,
        0.77833,
        0.812075,
        0.790981,
        0.727299,
        0.748179,
        0.777972,
        0.79878,
        0.845418,
        0.756119,
        0.981429,
        1.03349,
        0.734747,
        0.637111,
        0.758942,
        0.782535,
        0.73396,
        0.859321,
        0.948292,
        0.948991,
        0.782002,
        0.812402,
        0.793399,
        0.771789,
        0.755435,
        0.732063,
        0.842627,
        0.831393,
        0.79392,
        0.991392,
        0.918725,
        0.930035,
        0.871294,
        0.804298,
        0.834202,
        0.813184,
        0.838118,
        0.954519,
        0.728538,
        0.764854,
        0.714261,
        0.844718,
        0.854102,
        0.787619,
        0.883063,
        0.852436,
        0.946111,
        0.914421,
        0.773016,
        0.712754,
        0.811432,
        0.874779,
        0.864466,
        0.904248,
        0.849861,
        0.809954,
        0.745592,
        0.652662,
        0.69229,
        0.799032,
        0.839804,
        0.830543,
        0.816513,
        0.744759,
        0.802877,
        0.889929,
        0.847961,
        0.882418,
        0.737508,
        0.760577,
        0.721247,
        0.90246,
        0.968912,
        0.920381,
        1.03217,
        1.00535,
        0.957321,
        0.940253,
        0.836886,
        0.819519,
        0.876312,
        0.834191,
        0.657414,
        0.742841,
        0.780527,
        0.822689,
        0.87684,
        0.802487,
        0.710215,
        0.813831,
        0.830896,
        0.752209,
        0.774612,
        0.858548,
        0.88336,
        0.918451,
        0.940339,
        0.748943,
        0.882595,
        0.986871,
        0.851772,
        0.869978,
        0.747791,
        0.761206,
        0.820243,
        0.751437,
        0.930269,
        0.976544,
        0.961447,
        1.06842,
        0.800251,
        0.695857,
        0.752877,
        0.935675,
        0.982926,
        0.924816,
        0.747306,
        0.797314,
        0.995017,
        0.988352,
        0.828966,
        0.970844,
        0.948368,
        0.857113,
        1.01184,
        0.820006,
        0.911931,
        0.997131,
        0.729997,
        0.870733,
        0.903415,
        0.811705,
        0.655228,
        0.787221,
        0.809126,
        0.912079,
        0.928166,
        1.0677,
        0.693503,
        0.710077,
        0.959377,
        0.793758,
        0.984592,
        1.58698,
        1.56772,
        1.03118,
        1.53552,
        0.782382,
        0.713017,
        1.12267,
        1.35023,
        0.954452,
        0.698285,
        0.710988,
        1.04375,
        0.91582,
        0.661261,
        0.936324,
        0.913716,
        0.864937,
        0.861051,
        0.565146,
        0.541534,
        0.737597,
        1.03259,
        0.854854,
        0.691811,
        0.824718,
        0.736446,
        0.679992,
        0.783413,
        0.87558,
        0.901413,
        0.764031,
        0.771423,
        0.836216,
        0.991913,
        0.948086,
        0.852343,
        0.930429,
        0.762216,
        0.750268,
        0.787514,
        0.771534,
        0.844208,
        0.929512,
        0.891396,
        0.78242,
        0.873343,
        0.833165,
        0.783972,
        0.775418,
        0.745283,
        0.748346,
        0.660686,
        0.892104,
        0.952763,
        0.931446,
        0.791267,
        0.754084,
        0.960035,
        0.807277,
        0.65944,
        0.734919,
        0.816556,
        0.821387,
        0.915976,
        0.751429,
        0.838678,
        0.855631,
        0.793961,
        0.738137,
        0.752759,
        0.885829,
        0.91211,
        0.913277,
        0.973979,
        0.819582,
        0.830773,
        0.718966,
        0.907269,
        0.953882,
        0.818229,
        0.661292,
        0.883122,
        0.756596,
        1.02989,
        0.942572,
        0.786419,
        0.732769,
        0.774748,
        0.80704,
        0.77765,
        0.804542,
        0.842436,
        0.854174,
        0.833102,
        0.870059,
        0.888755,
        0.821662,
        0.774564,
        0.675616,
        0.860287,
        0.857751,
        0.883967,
        0.787394,
        0.844797,
        0.895101,
        0.871324,
        0.871602,
        0.636365,
        0.651489,
        0.663634,
        0.535637,
        0.660572,
        0.819922,
        0.886878,
        0.890556,
        0.742581,
        0.893571,
        0.886201,
        0.774102,
        0.643672,
        0.77593,
        0.935294,
        0.78392,
        0.780574,
        0.606419,
        0.860956,
        0.901187,
        0.738667,
        0.739021,
        0.752105,
        0.808912,
        0.754201,
        0.75701,
        0.824839,
        0.93604,
        0.794035,
        0.758781,
        0.676427,
        0.69422,
        0.841874,
        0.873605,
        0.795749,
        0.749432,
        0.763603,
        0.754519,
        0.793967,
        0.78259,
        0.693277,
        0.703951,
        0.759707,
        0.831309,
        0.796488,
        0.748272,
        0.802911,
        0.799353,
        0.882699,
        1.00556,
        0.965123,
        0.947012,
        0.81813,
        0.671261,
        0.716955,
        0.861925,
        0.8499,
        0.879904,
        0.999234,
        0.727834,
        0.863949,
        0.958889,
        1.02322,
        0.966185,
        0.863779,
        0.824295,
        0.915114,
        0.847645,
        0.918254,
        0.939424,
        1.1314,
        0.927523,
        0.823096,
        0.871579,
        0.986254,
        0.915417,
        0.910663,
        0.92697,
        0.98548,
        1.02048,
        0.900139,
        0.831306,
        0.84285,
        0.887705,
        1.10571,
        0.96796,
        0.934066,
        0.858471,
        0.760391,
        0.899946,
        0.993332,
        0.9517,
        0.949329,
        0.972299,
        0.933522,
        0.906091,
        1.06965,
        1.12866,
        0.857271,
        0.888643,
        0.944185,
        0.946861,
        1.10266,
        1.0466,
        0.983761,
        1.00954,
        0.970034,
        0.88373,
        0.882399,
        1.02843,
        0.967903,
        0.891378,
        0.981982,
        0.957396,
        0.907815,
        0.938285,
        1.04464,
        0.802032,
        0.775542,
        1.00631,
        0.974072,
        0.802708,
        0.705595,
        0.614699,
        0.698141,
        0.54767,
        0.381171,
        0.374006,
        0.416405,
        0.532066,
        0.400655,
        0.56075,
        0.608094,
        0.675858,
        0.652827,
        0.699196,
        0.617916,
        0.659192,
        0.807817,
        0.790647,
        0.581643,
        0.58502,
        0.555528,
        0.844112,
        0.825305,
        0.796988,
        0.785419,
        0.732928,
        0.646877,
        0.78571,
        0.840854,
        0.777363,
        0.832008,
        0.951645,
        0.906844,
        0.811184,
        0.807192,
        0.926718,
        0.956622,
        0.920286,
        0.875106,
        0.835872,
        0.885485,
        0.822309,
        0.774648,
        0.798267,
        0.834545,
        0.941064,
        0.848612,
        0.755324,
        0.871606,
        0.856139,
        0.817045,
        0.81045,
        0.797581,
        0.85417,
        0.881017,
        0.908648,
        0.724494,
        0.891554,
        0.867076,
        0.76416,
        0.748625,
        0.832122,
        0.937351,
        0.963003,
        0.84575,
        0.893512,
        1.02456,
        1.02726,
        0.880089,
        0.817689,
        0.812145,
        0.749061,
        0.8219,
        0.75262,
        0.791771,
        0.80629,
        0.907017,
        0.941958,
        1.00402,
        1.00619,
        0.814614,
        0.731232,
        0.85502,
        0.942285,
        0.887292,
        0.883914,
        0.859407,
        0.779896,
        0.915917,
        0.878048,
        0.890504,
        0.776715,
        0.861552,
        0.911764,
        0.969304,
        0.726389,
        0.697585,
        0.926953,
        1.00141,
        0.800402,
        0.703592,
        0.775897,
        0.749684,
        0.715508,
        0.802113,
        0.752975,
        0.744603,
        0.797033,
        0.769877,
        0.794718,
        0.891931,
        0.895132,
        0.826969,
        0.727404,
        0.769088,
        0.71602,
        0.574345,
        0.675909,
        0.622379,
        0.631237,
        0.665576,
        0.752886,
        0.73858,
        0.818335,
        0.780163,
        0.656229,
        0.763993,
        0.781175,
        0.867909,
        0.828278,
        0.758661,
        0.801531,
        0.986025,
        0.858207,
        0.818779,
        0.78092,
        0.796961,
        0.799983,
        0.94947,
        0.819711,
        0.761974,
        0.626526,
        0.624583,
        0.681531,
        0.701653,
        0.784859,
        0.752204,
        0.836078,
        0.869637,
        0.981754,
        0.893011,
        0.772409,
        0.700526,
        0.778458,
        0.758173,
        0.50397,
        0.823034,
        0.828791,
        0.840888,
        0.872616,
        0.928196,
        0.779503,
        0.642028,
        0.73488,
        0.785603,
        0.868334,
        0.9145,
        0.876748,
        0.777826,
        0.795704,
        0.865807,
        0.894,
        0.828346,
        0.804226,
        0.856762,
        0.785804,
        0.770568,
        0.827362,
        0.942033,
        0.859643,
        0.878243,
        0.80232,
        0.771861,
        0.822816,
        0.955177,
        0.858309,
        0.816103,
        0.759119,
        0.805185,
        0.747616,
        0.710855,
        0.676709,
        0.739093,
        0.761808,
        0.774849,
        0.837891,
        0.712157,
        0.742046,
        0.822294,
        0.801896,
        0.82906,
        0.846594,
        0.872025,
        0.802448,
        0.893675,
        0.911909,
        0.954107,
        0.899119,
        0.798951,
        0.686049,
        0.857409,
        0.916625,
        0.812151,
        0.710511,
        0.768547,
        0.807991,
        0.887573,
        0.834731,
        0.724032,
        0.74196,
        0.836281,
        0.945451,
        0.888085,
        0.687832,
        0.860747,
        0.794558,
        0.797064,
        0.771347,
        0.670062,
        0.822562,
        0.870554,
        0.80529,
        0.847752,
        0.848188,
        0.896307,
        0.80905,
        0.868259,
        0.882965,
        0.884401,
        0.769345,
        0.901055,
        0.792104,
        0.781956,
        0.814274,
        0.903752,
        0.773282,
        0.819488,
        0.866175,
        0.830797,
        0.873422,
        0.895815,
        0.643558,
        0.774948,
        0.852371,
        0.778361,
        0.90826,
        0.784062,
        0.558414,
        0.703648,
        0.807842,
        0.865262,
        0.70386,
        0.668546,
        1.05059,
        0.796943,
        0.672592,
        0.728115,
        0.929352,
        0.78469,
        0.677371,
        0.777455,
        1.00122,
        0.729651,
        0.737933,
        0.888717,
        0.830545,
        0.850357,
        0.749596,
        0.711788,
        0.825954,
        0.760146,
        0.634344,
        0.856905,
        0.822812,
        0.911054,
        0.863683,
        0.817729,
        0.777212,
        0.929901,
        0.720077,
        0.820285,
        0.991055,
        0.835051,
        0.764822,
        0.793706,
        0.938593,
        0.786233,
        0.750532,
        0.758475,
        0.904671,
        0.76486,
        0.857426,
        0.872599,
        0.845871,
        0.899792,
        0.882173,
        1.01303,
        0.975783,
        0.843421,
        0.927775,
        0.903015,
        0.986868,
        0.837213,
        0.797736,
        0.84278,
        1.00007,
        0.914204,
        0.896701,
        0.870169,
        1.05936,
        0.860106,
        0.894323,
        0.976942,
        0.860191,
        0.741751,
        0.75205,
        0.796779,
        0.810357,
        0.648193,
        0.746055,
        0.833725,
        0.966912,
        0.860936,
        0.768618,
        0.763497,
        0.789901,
        0.76212,
        0.783577,
        0.900606,
        0.975316,
        0.978809,
        0.665355,
        0.596846,
        0.77925,
        0.910076,
        0.728199,
        0.638749,
        0.668469,
        0.808958,
        0.856524,
        0.822494,
        0.810002,
        0.859452,
        0.906259,
        0.818433,
        0.761629,
        0.840132,
        0.823526,
        0.730024,
        0.844033,
        0.714566,
        0.787839,
        0.718532,
        0.81126,
        0.837909,
        0.850591,
        0.828756,
        0.815245,
        0.67827,
        0.768506,
        0.841366,
        0.77439,
        0.9162,
        0.812968,
        0.859148,
        0.830063,
        0.849889,
        0.869904,
        0.775451,
        0.815433,
        0.824805,
        0.788579,
        0.567968,
        0.737528,
        0.693574,
        0.755011,
        0.838006,
        0.788346,
        0.809082,
        0.862713,
        0.767182,
        0.887292,
        0.916745,
        0.819987,
        0.975842,
        0.804997,
        0.748568,
        0.757574,
        0.873726,
        0.755405,
        0.744102,
        0.920668,
        0.933461,
        0.822883,
        0.774124,
        0.733886,
        0.805234,
        0.858458,
        0.860827,
        0.960746,
        0.877294,
        0.648005,
        0.604863,
        0.710672,
        0.7747,
        0.698402,
        0.686933,
        0.922984,
        0.769292,
        0.75431,
        0.762799,
        0.836535,
        0.843997,
        0.904187,
        0.887584,
        0.918917,
        0.882483,
        0.746268,
        0.755147,
        0.845226,
        0.794683,
        0.900319,
        0.8468,
        0.815071,
        0.736101,
        0.796242,
        0.979428,
        0.917941,
        0.830331,
        0.78468,
        0.783317,
        0.676816,
        0.789601,
        0.820988,
        0.887407,
        0.974755,
        0.92028,
        0.825267,
        0.917098,
        0.901142,
        0.625809,
        0.652863,
        0.856246,
        0.90931,
        1.0068,
        0.728044,
        0.911819,
        0.801608,
        0.945423,
        0.802182,
        0.766401,
        0.803979,
        0.831294,
        0.996783,
        0.963961,
        0.818448,
        0.752371,
        0.778436,
        0.795525,
        0.682993,
        0.717576,
        0.805836,
        0.768757,
        0.70363,
        0.732182,
        0.933438,
        0.791381,
        0.74843,
        0.555745,
        0.683835,
        0.826761,
        0.754159,
        0.784022,
        0.806967,
        0.850265,
        0.690819,
        0.850272,
        0.836887,
        0.828453,
        0.598998,
        0.740985,
        0.710455,
        0.816904,
        0.702766,
        0.815177,
        0.69723,
        0.878613,
        0.887649,
        0.824185,
        0.720979,
        0.7739,
        0.944953,
        0.845821,
        0.644468,
        0.694695,
        0.867379,
        0.744916,
        0.796223,
        0.997948,
        0.930878,
        0.712655,
        0.701875,
        0.847585,
        0.839392,
        0.982702,
        1.11995,
        0.957858,
        0.949784,
        0.787043,
        0.806236,
        0.77553,
        0.765657,
        0.847667,
        0.892682,
        0.824868,
        0.912247,
        1.02852,
        0.975165,
        1.03047,
        0.90634,
        0.888962,
        0.887638,
        0.976894,
        0.909618,
        1.10496,
        0.929029,
        0.991364,
        0.962125,
        0.782055,
        0.996798,
        0.948414,
        0.971084,
        0.944615,
        0.828951,
        0.937145,
        0.996848,
        0.871891,
        0.854883,
        0.943675,
        0.938419,
        0.968205,
        1.00705,
        1.03144,
        0.787147,
        0.872076,
        1.04613,
        1.01245,
        0.749079,
        0.855857,
        0.861864,
        0.848636,
        0.907655,
        0.970034,
        1.08952,
        0.920237,
        0.874986,
        0.769735,
        0.682965,
        0.772376,
        0.834968,
        0.986705,
        1.05981,
        1.03406,
        0.614812,
        0.579453,
        0.604299,
        0.805313,
        0.803046,
        0.51888,
        0.430213,
        0.442287,
        0.341933,
        0.21041,
        0.357686,
        0.529538,
        0.700576,
        0.69412,
        0.691464,
        0.888291,
        0.696557,
        0.702567,
        0.561002,
        0.932131,
        0.891955,
        0.949868,
        0.940624,
        0.729205,
        0.592811,
        0.559433,
        0.467877,
        0.908664,
        1.18737,
        1.13933,
        0.767667,
        0.798964,
        0.575688,
        0.980222,
        1.13492,
        0.703474,
        0.403113,
        0.737103,
        0.760352,
        1.2948,
        1.41656,
        0.870348,
        1.2734,
        0.911746,
        3.00037,
        2.68894,
        2.51745,
        3.59652,
        2.20848,
        1.65232,
        0.939703,
        1.04756,
        0.6188,
        0.808993,
        0.992444,
        0.56253,
        0.523339,
        0.993054,
        1.17394,
        1.00494,
        1.03992,
        1.36198,
        1.23225,
        1.20612,
        0.538761,
        0.592397,
        0.617398,
        0.96691,
        0.793028,
        1.46901,
        2.33798,
        2.24983,
        4.9808,
        3.88454,
        2.83724,
        2.56431,
        0.844754,
        0.860197,
        0.894723,
        1.16121,
        1.2375,
        1.31324,
        1.19405,
        0.901917,
        0.938203,
        0.940897,
        1.05142,
        1.03836,
        1.15418,
        1.10079,
        0.718772,
        0.677315,
        0.725052,
        0.865987,
        1.06529,
        0.958495,
        0.907859,
        1.09074,
        0.62046,
        0.634808,
        0.913762,
        1.09372,
        0.791565,
        0.640062,
        0.6297,
        0.928581,
        0.975707,
        0.951469,
        1.04574,
        1.02351,
        1.0726,
        0.851964,
        0.96862,
        1.01818,
        0.794015,
        0.570599,
        0.818941,
        0.715893,
        1.0429,
        0.994241,
        0.68204,
        0.807614,
        0.677275,
        0.682619,
        0.742269,
        0.836472,
        0.941013,
        1.00066,
        0.950687,
        0.820432,
        0.894901,
        0.873795,
        0.866368,
        0.779337,
        0.886383,
        0.923998,
        0.87112,
        0.858678,
        0.771438,
        0.704314,
        0.920975,
        0.909441,
        0.809318,
        0.809605,
        0.891444,
        0.456191,
        0.495759,
        0.691884,
        0.923257,
        0.847632,
        0.771497,
        0.763269,
        0.829994,
        1.00047,
        0.913048,
        0.751645,
        0.810011,
        0.838019,
        0.814072,
        0.681491,
        0.637062,
        0.706897,
        0.858028,
        0.985631,
        0.910853,
        0.943856,
        0.815952,
        0.737055,
        0.765837,
        0.73828,
        0.715726,
        0.790273,
        0.725314,
        0.743357,
        0.824458,
        0.758808,
        0.834564,
        0.810616,
        0.764681,
        0.806096,
        0.785196,
        0.835104,
        0.628997,
        0.572719,
        0.510928,
        0.488878,
        0.671181,
        0.762024,
        0.770246,
        0.802284,
        0.689822,
        0.831033,
        0.7461,
        0.816308,
        0.916053,
        0.858912,
        0.842838,
        0.763822,
        0.674071,
        0.953884,
        0.937467,
        0.945457,
        0.910014,
        0.759158,
        0.817403,
        1.06344,
        0.965228,
        0.732618,
        0.806672,
        0.754683,
        0.955023,
        0.923596,
        0.853468,
        0.692828,
        0.832177,
        0.924991,
        0.971524,
        1.00805,
        0.757742,
        0.800664,
        0.736719,
        0.853482,
        0.914019,
        0.697376,
        0.763101,
        0.927991,
        1.04998,
        1.05227,
        1.02982,
        1.00446,
        0.713598,
        0.76564,
        0.808976,
        0.893734,
        0.827844,
        0.772723,
        0.699575,
        0.769821,
        0.680856,
        0.893848,
        1.03727,
        0.869616,
        0.823661,
        0.980897,
        0.942085,
        0.924009,
        1.04631,
        0.865212,
        0.985012,
        1.07146,
        1.0198,
        1.08263,
        0.789304,
        0.70674,
        0.806019,
        0.741331,
        0.907363,
        0.958035,
        0.978675,
        0.996665,
        0.84021,
        0.731113,
        0.75376,
        0.902355,
        0.978416,
        0.953962,
        0.951317,
        0.91556,
        0.725192,
        0.942774,
        0.805467,
        0.730335,
        0.701051,
        0.909019,
        0.848249,
        0.806373,
        0.936344,
        0.955033,
        0.876692,
        0.727263,
        0.74997,
        0.7434,
        0.646503,
        0.735191,
        0.775229,
        0.701586,
        0.842897,
        0.873447,
        0.518111,
        0.625999,
        0.669848,
        0.468276,
        0.605503,
        0.687567,
        0.858916,
        0.630171,
        0.676024,
        0.918564,
        0.738061,
        0.628867,
        0.677195,
        0.761296,
        0.640042,
        0.661571,
        0.641601,
        0.634267,
        0.702528,
        0.850121,
        0.877484,
        0.86867,
        0.75736,
        0.758118,
        0.927506,
        1.11432,
        0.88842,
        0.851887,
        0.970322,
        0.978137,
        0.881845,
        0.934917,
        0.901763,
        0.659438,
        0.62768,
        0.687535,
        0.915638,
        1.05795,
        1.09226,
        1.12717,
        0.993543,
        0.962463,
        0.876727,
        0.81538,
        1.01232,
        0.801104,
        0.726379,
        0.586958,
        0.597107,
        0.763114,
        0.809167,
        0.893884,
        0.965455,
        0.79736,
        0.742723,
        0.915747,
        0.867014,
        0.83678,
        0.801548,
        0.930661,
        0.609856,
        0.759884,
        0.583633,
        0.705664,
        0.98778,
        1.03326,
        0.886427,
        0.678158,
        0.753458,
        0.653499,
        0.765521,
        0.754024,
        0.789678,
        0.780534,
        0.658139,
        0.834197,
        0.79022,
        0.670091,
        0.620822,
        0.764915,
        0.847233,
        0.762646,
        0.690013,
        0.715081,
        0.816536,
        0.98311,
        0.830017,
        0.700437,
        0.879639,
        0.751133,
        0.674864,
        0.749798,
        0.725122,
        0.813404,
        0.991307,
        0.707369,
        0.493294,
        0.672918,
        0.633779,
        0.745564,
        0.815005,
        0.942569,
        0.931648,
        0.73269,
        0.676014,
        0.73224,
        0.809461,
        0.862338,
        0.633605,
        0.759661,
        0.912793,
        0.717399,
        0.797834,
        0.672816,
        0.891747,
        0.898526,
        0.999234,
        0.895841,
        1.08946,
        1.12843,
        0.956806,
        1.10346,
        0.89097,
        0.841691,
        0.948002,
        0.699772,
        0.670534,
        0.846839,
        1.03265,
        0.860327,
        0.842462,
        0.75237,
        0.737539,
        1.05067,
        0.912475,
        0.882231,
        0.927731,
        1.02689,
        0.869696,
        0.800757,
        0.911159,
        0.686113,
        0.970492,
        0.898118,
        0.806411,
        0.819454,
        0.799026,
        0.990913,
        1.00429,
        0.799043,
        0.983534,
        0.852864,
        0.975479,
        1.0887,
        0.837794,
        0.893001,
        0.81336,
        0.397399,
        0.564825,
        0.84992,
        0.667621,
        0.573208,
        0.646726,
        0.68203,
        0.862273,
        0.796587,
        0.647915,
        0.567128,
        0.752804,
        0.589712,
        0.297916,
        0.439608,
        0.818429,
        1.3211,
        0.937673,
        0.887794,
        0.790215,
        0.822885,
        1.1675,
        1.14651,
        1.16011,
        0.836272,
        0.61123,
        0.704027,
        0.86154,
        0.68865,
        0.539484,
        0.478224,
        0.579782,
        0.998209,
        0.91658,
        0.538324,
        0.58422,
        0.468792,
        0.785681,
        0.865759,
        1.26897,
        0.718507,
        0.528654,
        0.710192,
        0.728745,
        1.24203,
        1.11069,
        0.799128,
        0.815147,
        1.1581,
        0.896637,
        1.28846,
        1.41863,
        null,
        0.782112,
        0.956817,
        0.660897,
        0.79363,
        1.11386,
        0.862452,
        0.918573,
        1.05652,
        1.23655,
        0.828797,
        0.734797,
        0.946651,
        0.7397,
        0.95792,
        0.882938,
        0.883085,
        0.835326,
        1.00067,
        0.887041,
        1.00602,
        0.810529,
        0.714747,
        0.71047,
        0.939148,
        1.04305,
        0.73832,
        0.846944,
        0.876254,
        0.88489,
        0.756116,
        0.857429,
        0.838722,
        0.936473,
        0.970865,
        1.12703,
        1.0686,
        0.993552,
        0.862972,
        0.765818,
        0.852413,
        0.764293,
        0.671033,
        0.885915,
        0.802183,
        1.0003,
        0.842789,
        0.797688,
        0.879082,
        0.741365,
        0.934854,
        0.604507,
        0.642262,
        0.955698,
        0.697573,
        0.824221,
        0.65684,
        0.801907,
        0.78583,
        0.93295,
        1.08478,
        0.955849,
        0.790825,
        0.770002,
        0.965029,
        0.855258,
        0.658667,
        0.596395,
        0.828102,
        1.06782,
        1.02207,
        0.883254,
        0.936816,
        0.6633,
        0.823956,
        0.808735,
        0.635112,
        0.688748,
        0.659072,
        0.999549,
        0.716755,
        0.829366,
        0.809364,
        0.842034,
        0.563596,
        0.75727,
        0.933352,
        0.837688,
        0.750884,
        0.604239,
        0.704007,
        0.937488,
        0.48921,
        0.952573,
        0.803871,
        1.01612,
        1.03501,
        0.848749,
        0.669457,
        0.880231,
        0.967274,
        0.987753,
        0.909982,
        0.55001,
        0.593672,
        0.972207,
        0.763258,
        0.904439,
        0.799544,
        0.70758,
        0.766227,
        0.809322,
        0.946172,
        0.772111,
        0.306422,
        0.826808,
        0.559893,
        0.796153,
        1.20274,
        0.6721,
        0.551461,
        1.00211,
        1.09963,
        0.871322,
        1.02925,
        0.953388,
        0.695796,
        0.801405,
        1.40366,
        0.899304,
        0.576424,
        0.565047,
        0.704695,
        0.594882,
        0.680727,
        0.975191,
        1.12629,
        1.02004,
        1.59459,
        1.16791,
        1.52149,
        3.2752,
        5.10561,
        1.8769,
        1.45904,
        0.979595,
        1.32699,
        0.687467,
        0.661987,
        0.866504,
        0.691984,
        0.890879,
        1.33633,
        0.818881,
        0.835924,
        1.26796,
        1.7743,
        2.42929,
        2.07561,
        1.37005,
        4.26365,
        4.91095,
        15.2965,
        21.8537,
        21.43,
        5.57352,
        4.22302,
        4.87847,
        2.42755,
        2.04153,
        1.5315,
        2.10354,
        0.870626,
        1.33571,
        0.740163,
        1.27784,
        1.02121,
        0.867924,
        0.702179,
        0.681954,
        0.929774,
        0.847622,
        1.06746,
        0.724968,
        0.410315,
        0.93471,
        0.838322,
        1.10083,
        0.730062,
        0.713253,
        0.476631,
        0.351064,
        0.675116,
        0.65936,
        0.660751,
        0.549048,
        0.910475,
        0.719189,
        0.932933,
        0.756254,
        0.704279,
        1.21043,
        0.684514,
        0.708713,
        1.16064,
        0.968817,
        0.992797,
        0.919298,
        0.70956,
        0.336551,
        0.69605,
        0.842323,
        0.654772,
        0.816977,
        0.858434,
        0.930612,
        1.02655,
        1.28209,
        0.849958,
        0.947204,
        1.05742,
        0.987856,
        0.687887,
        0.710666,
        1.0148,
        1.24185,
        0.578879,
        1.20299,
        0.912127,
        0.553083,
        0.95963,
        0.745054,
        0.711805,
        1.11956,
        0.601866,
        0.870236,
        1.42546,
        1.30822,
        0.755154,
        0.857858,
        1.06298,
        1.15507,
        1.22286,
        0.894032,
        0.784101,
        0.903887,
        0.939806,
        0.788111,
        0.639635,
        0.791575,
        0.672872,
        1.03758,
        0.810822,
        0.792835,
        1.84155,
        1.57174,
        0.985487,
        2.55754,
        1.43862,
        1.62832,
        1.85539,
        2.00116,
        2.58842,
        2.9052,
        null,
        1.86313,
        1.59037,
        1.28548,
        1.08981,
        0.676829,
        1.4736,
        0.989569,
        1.1853,
        0.98775,
        0.764462,
        0.93103,
        0.764184,
        0.905952,
        0.954946,
        0.912948,
        0.910464,
        1.27002,
        0.876041,
        0.812878,
        0.831492,
        0.45147,
        0.654445,
        0.474833,
        0.620299,
        0.8342,
        0.609176,
        0.801472,
        0.908024,
        0.909063,
        0.599039,
        0.819719,
        0.922417,
        0.795281,
        1.02077,
        0.774324,
        0.820153,
        0.652722,
        0.855793,
        0.847566,
        0.752851,
        0.807561,
        0.401823,
        0.768271,
        0.879284,
        0.840917,
        0.699789,
        0.729995,
        0.890798,
        0.818242,
        0.6916,
        0.914772,
        0.894509,
        0.711745,
        0.858304,
        0.898069,
        0.790932,
        0.712448,
        0.994097,
        0.922505,
        0.995292,
        1.1328,
        1.032,
        0.723038,
        0.956125,
        1.12921,
        0.593962,
        0.956449,
        0.902542,
        0.400086,
        0.649571,
        1.0072,
        0.688209,
        0.741854,
        0.897222,
        0.692529,
        0.634959,
        0.555643,
        0.472172,
        0.764508,
        0.816362,
        0.613538,
        0.89491,
        0.834733,
        0.672489,
        0.702964,
        0.675618,
        0.80649,
        0.835556,
        0.7955,
        0.864639,
        0.751513,
        0.754033,
        0.8369,
        0.804419,
        1.05128,
        0.864636,
        0.789982,
        1.02659,
        0.883733,
        1.00733,
        1.04162,
        0.781864,
        0.724646,
        0.681164,
        0.702384,
        0.622561,
        0.642384,
        0.656711,
        0.63376,
        0.610475,
        0.654039,
        0.756744,
        0.802028,
        0.817458,
        0.774406,
        0.860203,
        0.840625,
        1.02815,
        0.964443,
        0.949178,
        0.721532,
        0.681028,
        0.646676,
        0.720352,
        0.759454,
        0.707377,
        0.512156,
        0.846636,
        0.911173,
        0.880892,
        0.746434,
        0.790274,
        0.685817,
        0.722579,
        0.557012,
        0.701952,
        0.755723,
        0.763877,
        0.63158,
        0.902676,
        1.03226,
        0.709773,
        0.523055,
        0.620743,
        0.676376,
        0.798118,
        0.949772,
        0.908448,
        0.873864,
        0.768795,
        0.80097,
        0.654974,
        0.819954,
        0.696285,
        0.723284,
        0.764445,
        0.81853,
        0.993976,
        0.946838,
        0.84802,
        0.858846,
        0.789364,
        0.940196,
        0.863874,
        0.821845,
        0.743487,
        0.785033,
        0.837102,
        0.740798,
        0.829459,
        0.848936,
        0.825742,
        0.680309,
        0.763929,
        0.833924,
        0.688015,
        0.86369,
        0.872638,
        0.804646,
        0.802006,
        0.852649,
        0.676426,
        0.706351,
        0.791663,
        0.813907,
        0.775425,
        0.98356,
        0.836556,
        0.718178,
        0.624828,
        0.633086,
        0.67242,
        0.847958,
        0.823053,
        0.869956,
        0.870378,
        0.907504,
        0.814072,
        0.632715,
        0.62329,
        0.524438,
        0.579552,
        0.73481,
        0.955196,
        0.973962,
        0.880704,
        0.697094,
        0.769165,
        0.702812,
        0.951264,
        0.879493,
        0.951835,
        0.897017,
        0.841525,
        0.862828,
        0.999949,
        0.894545,
        0.935721,
        0.742539,
        0.812371,
        1.02128,
        0.786317,
        0.856474,
        0.593394,
        0.722419,
        0.807978,
        0.696411,
        0.607737,
        0.680142,
        0.629408,
        0.656137,
        0.81922,
        0.823969,
        0.823465,
        0.87245,
        0.879324,
        0.797101,
        0.855469,
        0.970206,
        0.767523,
        0.750177,
        0.859566,
        0.85502,
        0.806501,
        0.748824,
        0.655877,
        0.677648,
        0.709024,
        0.802277,
        0.708042,
        0.708244,
        0.691627,
        0.739975,
        0.715268,
        0.805561,
        0.818831,
        0.770333,
        0.838733,
        0.911272,
        0.817005,
        0.785592,
        0.776702,
        0.759126,
        0.805224,
        0.870889,
        0.795773,
        0.827841,
        0.670503,
        0.675493,
        0.552712,
        0.534777,
        0.876731,
        1.03266,
        0.87191,
        0.803561,
        0.866573,
        0.666392,
        0.766111,
        0.855719,
        0.87816,
        0.877569,
        0.731761,
        0.782357,
        0.895377,
        0.947058,
        0.875731,
        0.834699,
        0.868579,
        0.798028,
        0.902139,
        0.968414,
        0.787347,
        0.75965,
        0.971341,
        0.852684,
        0.806674,
        0.814048,
        0.646853,
        0.713862,
        0.792788,
        0.812772,
        0.900315,
        0.790189,
        0.866998,
        0.875448,
        0.81202,
        0.706445,
        0.750209,
        0.780635,
        0.824588,
        0.874846,
        0.674019,
        0.810937,
        0.914851,
        0.95254,
        0.778883,
        0.834831,
        0.829876,
        0.69585,
        0.698737,
        0.772383,
        0.887679,
        0.780974,
        0.937473,
        1.07196,
        0.96244,
        0.8761,
        0.687488,
        0.914889,
        0.850175,
        0.828958,
        0.862432,
        0.980702,
        0.898248,
        1.10967,
        0.99538,
        0.781443,
        0.945217,
        0.978781,
        0.861468,
        0.891273,
        0.826219,
        0.829292,
        0.863981,
        1.07612,
        0.936145,
        0.904031,
        0.893995,
        0.939845,
        0.956468,
        0.97065,
        0.966086,
        1.08397,
        1.04644,
        1.02917,
        0.914571,
        0.911882,
        0.974882,
        1.12363,
        0.964417,
        1.0042,
        0.978122,
        0.804794,
        0.971839,
        0.866733,
        0.725599,
        0.801097,
        0.788233,
        0.988996,
        0.992325,
        0.893762,
        0.830752,
        1.04675,
        0.9514,
        0.843658,
        0.841185,
        0.868306,
        0.759495,
        0.790623,
        0.697239,
        0.788678,
        0.587923,
        0.581061,
        0.670921,
        0.568972,
        0.661708,
        0.697671,
        0.813882,
        0.661666,
        0.783483,
        0.724194,
        0.719075,
        0.892545,
        0.8453,
        0.659296,
        0.672712,
        0.625047,
        0.808679,
        0.849295,
        0.840486,
        0.710492,
        0.729476,
        0.711554,
        1.01201,
        0.988147,
        0.892771,
        0.909035,
        0.79913,
        0.872985,
        0.993522,
        1.01463,
        0.962156,
        0.81357,
        0.949247,
        0.952167,
        0.902714,
        0.883749,
        0.862162,
        0.786506,
        0.936229,
        1.03019,
        0.994302,
        0.945737,
        0.813087,
        0.695629,
        0.9198,
        0.989652,
        0.993555,
        1.00083,
        0.75163,
        0.804269,
        0.86327,
        0.87269,
        0.865176,
        0.813307,
        0.883088,
        0.920664,
        0.80583,
        0.869164,
        0.90707,
        0.918038,
        0.887502,
        0.695257,
        0.837088,
        0.839449,
        0.923757,
        0.801564,
        0.732259,
        0.807624,
        0.634376,
        0.688039,
        0.625961,
        0.747485,
        0.763656,
        0.823638,
        0.958727,
        0.968799,
        0.868042,
        0.796179,
        0.722372,
        0.780444,
        0.771805,
        0.851526,
        0.758373,
        0.727754,
        0.851221,
        0.825844,
        0.855763,
        0.696538,
        0.748188,
        0.891154,
        0.808325,
        0.746193,
        0.837082,
        0.751668,
        0.800109,
        0.840485,
        0.842454,
        0.854011,
        0.75218,
        0.707883,
        0.839876,
        0.807079,
        0.802543,
        1.02652,
        0.88635,
        0.751431,
        0.837297,
        0.861603,
        0.810411,
        0.825286,
        0.811998,
        0.971726,
        0.958485,
        0.789133,
        0.866903,
        0.928929,
        0.795741,
        0.763565,
        0.952516,
        1.00836,
        0.809061,
        0.800492,
        0.820425,
        0.83004,
        0.880018,
        0.80557,
        0.846574,
        0.820962,
        0.732882,
        0.72712,
        0.768706,
        0.757454,
        0.614779,
        0.839622,
        0.873244,
        0.773786,
        0.483575,
        0.604185,
        0.766612,
        0.594351,
        0.528496,
        0.616339,
        0.777321,
        0.867254,
        0.643554,
        0.880221,
        0.961866,
        0.9067,
        0.979966,
        0.896613,
        0.909511,
        1.03372,
        0.938181,
        0.816403,
        0.847371,
        0.642049,
        0.648253,
        0.676155,
        0.65141,
        0.747702,
        0.889704,
        0.922986,
        0.867149,
        0.832943,
        0.772297,
        0.833811,
        0.818389,
        0.919063,
        0.852428,
        0.734726,
        0.564458,
        0.700307,
        0.998609,
        0.898388,
        0.657874,
        0.775389,
        0.764874,
        0.755353,
        0.888241,
        0.856336,
        0.821804,
        0.811483,
        0.886391,
        0.89176,
        0.812346,
        0.850662,
        0.679692,
        0.660693,
        0.792687,
        0.733836,
        0.93194,
        0.855331,
        0.871131,
        0.820215,
        0.926813,
        0.903159,
        0.955626,
        0.945404,
        0.8996,
        0.702854,
        0.705086,
        0.805816,
        0.759422,
        0.831019,
        0.826787,
        0.900756,
        0.888005,
        0.937561,
        0.863919,
        0.714092,
        0.716347,
        0.972059,
        0.897638,
        0.876852,
        0.957225,
        0.799195,
        0.836921,
        0.91627,
        0.859,
        0.787033,
        0.755628,
        0.78552,
        0.749307,
        0.597271,
        0.822544,
        0.946115,
        0.875712,
        0.865506,
        0.885886,
        0.834259,
        0.71877,
        0.746993,
        0.772557,
        0.765473,
        0.772123,
        0.832721,
        0.944678,
        0.92014,
        0.863612,
        0.688027,
        0.854883,
        0.917398,
        0.828816,
        0.668674,
        0.855991,
        1.11087,
        0.896477,
        0.769811,
        0.72081,
        0.830879,
        0.812947,
        0.895241,
        0.935893,
        0.76303,
        0.970837,
        0.832253,
        0.819049,
        0.735847,
        0.750615,
        0.666576,
        0.846252,
        0.890794,
        0.882882,
        0.693537,
        0.839051,
        0.743131,
        0.711067,
        0.728484,
        0.9769,
        0.794711,
        0.685827,
        0.762865,
        0.753442,
        0.699818,
        0.67204,
        0.779969,
        0.862466,
        0.896438,
        0.8821,
        0.703819,
        0.837023,
        0.894591,
        0.841467,
        0.756884,
        0.803245,
        0.893614,
        0.776727,
        0.816544,
        0.861234,
        0.926048,
        0.930183,
        0.847225,
        0.647295,
        0.77074,
        0.937749,
        0.933488,
        0.740325,
        0.807055,
        0.885921,
        0.812588,
        0.839653,
        0.945781,
        1.02366,
        1.00167,
        0.890509,
        0.860942,
        0.758218,
        0.686943,
        0.754182,
        0.729699,
        0.846583,
        0.820578,
        0.767895,
        0.576928,
        0.639536,
        0.584281,
        0.636903,
        0.73863,
        0.740135,
        0.641536,
        0.855205,
        0.629894,
        0.700143,
        0.693515,
        0.76654,
        0.917969,
        0.706352,
        0.561212,
        0.61361,
        0.525516,
        0.750499,
        0.858974,
        0.699658,
        0.751979,
        0.79241,
        0.83952,
        0.680016,
        0.522334,
        0.555333,
        0.605916,
        0.575152,
        0.870308,
        0.683521,
        0.798802,
        0.913358,
        0.83225,
        0.801467,
        0.768399,
        0.793404,
        0.79043,
        0.679331,
        0.742469,
        0.852334,
        0.837373,
        0.894439,
        0.900837,
        0.868063,
        0.846858,
        0.87817,
        0.873886,
        0.84909,
        0.637244,
        0.892723,
        0.928384,
        0.897585,
        0.916984,
        0.866911,
        0.838144,
        0.985207,
        0.820643,
        0.861343,
        0.953941,
        1.00977,
        0.757113,
        0.623397,
        0.812719,
        0.766827,
        0.698784,
        0.798244,
        0.812293,
        0.653428,
        0.556886,
        0.578086,
        0.538742,
        0.734394,
        0.837578,
        0.870507,
        1.0033,
        0.9499,
        0.735734,
        0.864496,
        0.829774,
        0.500052,
        0.697084,
        0.668887,
        0.889557,
        0.78728,
        0.786487,
        0.831676,
        0.811431,
        0.795607,
        0.650856,
        0.466555,
        0.620477,
        0.715309,
        0.638639,
        0.405567,
        0.745152,
        0.777881,
        0.745702,
        0.839206,
        0.607787,
        0.556994,
        0.84947,
        0.685898,
        0.895974,
        0.826814,
        0.749599,
        0.491668,
        1.0201,
        1.19587,
        1.1743,
        0.755343,
        0.683432,
        0.873694,
        1.05529,
        0.811537,
        0.546129,
        0.923212,
        0.844641,
        0.739256,
        0.876739,
        0.853619,
        0.659528,
        0.577036,
        0.928285,
        0.971759,
        0.491239,
        0.52129,
        0.644791,
        0.888106,
        1.11892,
        1.49131,
        0.916113,
        1.52693,
        2.39354,
        5.39468,
        1.56563,
        0.876031,
        1.588,
        0.856559,
        1.37262,
        1.50449,
        1.18854,
        0.620962,
        0.912084,
        0.55087,
        1.01741,
        1.04508,
        0.96861,
        1.12965,
        0.786812,
        0.64744,
        0.768484,
        0.821188,
        0.548073,
        0.820916,
        0.805855,
        0.874417,
        0.859857,
        0.556125,
        1.04512,
        0.987359,
        1.11699,
        0.862146,
        0.751231,
        0.687512,
        0.767803,
        0.893554,
        0.67333,
        0.585182,
        0.836148,
        0.903217,
        0.750243,
        0.972876,
        0.897075,
        0.709374,
        0.929336,
        0.917911,
        0.796529,
        0.894,
        0.856404,
        0.518522,
        0.740456,
        0.893634,
        0.949544,
        0.646778,
        0.829342,
        0.933488,
        0.954905,
        0.990251,
        0.724653,
        0.802345,
        1.02969,
        0.80907,
        1.04139,
        1.17297,
        1.01815,
        0.833839,
        0.97897,
        1.12818,
        0.991373,
        0.899308,
        1.05558,
        0.860175,
        0.993018,
        0.94621,
        1.12275,
        1.04336,
        0.865656,
        0.845464,
        0.813099,
        0.723262,
        0.728992,
        0.950288,
        0.957189,
        0.96166,
        0.817863,
        0.877549,
        1.20525,
        0.98455,
        1.1445,
        0.964395,
        0.829072,
        1.03821,
        0.919974,
        0.92863,
        0.966638,
        0.955725,
        0.834381,
        0.894271,
        0.966095,
        0.894198,
        0.863234,
        0.944924,
        0.858621,
        0.753068,
        0.965806,
        1.19404,
        0.895807,
        0.814947,
        0.719572,
        1.01048,
        1.10802,
        0.796546,
        0.731141,
        0.912256,
        0.854053,
        0.54234,
        0.648768,
        0.661221,
        0.849154,
        0.725635,
        0.875778,
        0.747346,
        0.709926,
        0.843944,
        0.952146,
        0.721898,
        0.713718,
        0.818102,
        0.966717,
        0.930508,
        0.939658,
        0.680873,
        0.866703,
        0.81117,
        0.799448,
        0.793504,
        0.782554,
        0.830672,
        0.852756,
        0.85117,
        0.777525,
        0.975725,
        1.19852,
        0.864267,
        0.908573,
        0.556107,
        1.03214,
        0.935942,
        0.778059,
        0.923845,
        0.821161,
        0.639216,
        0.63459,
        1.17367,
        0.930441,
        0.970157,
        0.802937,
        1.16199,
        1.29404,
        1.11806,
        0.648502,
        0.736673,
        0.837303,
        1.35157,
        0.924143,
        1.15198,
        0.562115,
        0.676442,
        0.827981,
        1.06918,
        1.08054,
        0.860286,
        0.864501,
        0.947472,
        1.33813,
        24.6189,
        1.54893,
        2.03412,
        1.11559,
        1.31517,
        1.53014,
        0.849573,
        0.622536,
        1.02652,
        0.923459,
        0.8841,
        0.768584,
        0.517861,
        0.612613,
        0.689114,
        0.447092,
        0.677004,
        0.806832,
        0.597461,
        0.812263,
        0.695513,
        0.56117,
        0.736042,
        0.858706,
        1.04909,
        0.764267,
        0.743232,
        1.04646,
        0.832443,
        0.752936,
        0.793934,
        0.628762,
        0.446528,
        0.794956,
        0.732486,
        0.834573,
        0.735916,
        0.902028,
        0.697737,
        0.905576,
        0.879238,
        1.08691,
        1.01784,
        0.734637,
        0.643376,
        0.689468,
        0.679298,
        0.662632,
        0.752848,
        0.974814,
        0.647721,
        0.717465,
        0.850934,
        0.799412,
        0.737361,
        0.687064,
        0.799122,
        0.713819,
        0.637934,
        0.623373,
        0.717577,
        0.638256,
        0.854158,
        0.76404,
        0.55873,
        0.731968,
        0.722412,
        0.67405,
        0.762715,
        0.73132,
        0.705929,
        0.848691,
        0.928983,
        0.883447,
        0.84962,
        0.866486,
        0.9713,
        0.874659,
        0.626614,
        0.589307,
        0.807568,
        0.792644,
        1.093,
        0.914982,
        0.945728,
        1.08378,
        1.07339,
        0.995696,
        0.79576,
        0.70734,
        0.816965,
        0.642919,
        0.516139,
        0.792915,
        0.861373,
        0.776099,
        0.699545,
        0.630893,
        0.804542,
        1.02204,
        0.896909,
        0.941196,
        0.804332,
        0.778926,
        0.701325,
        0.736202,
        0.962495,
        0.846683,
        0.909643,
        0.946914,
        0.876033,
        1.05264,
        0.761799,
        0.795109,
        0.758151,
        0.777886,
        0.898118,
        0.967051,
        0.930252,
        0.804875,
        0.723002,
        0.727531,
        0.739032,
        0.66437,
        0.697681,
        0.71069,
        0.734884,
        0.764635,
        0.94975,
        0.895881,
        0.738474,
        0.862751,
        0.828693,
        0.752214,
        0.849508,
        0.999505,
        0.937364,
        0.780244,
        0.578712,
        0.569893,
        0.573269,
        0.603184,
        0.668927,
        0.751614,
        0.73187,
        0.698549,
        0.675286,
        0.818425,
        0.873945,
        0.805297,
        0.78641,
        0.65434,
        0.927473,
        0.790781,
        0.692525,
        0.82763,
        0.631209,
        0.775302,
        0.742694,
        0.798075,
        0.950259,
        0.89245,
        0.714177,
        0.63832,
        0.744104,
        0.722655,
        0.807313,
        0.953247,
        0.702733,
        0.621801,
        0.801072,
        0.72961,
        0.82872,
        0.886316,
        0.982312,
        0.901187,
        0.69243,
        0.911241,
        1.08655,
        1.00384,
        0.851682,
        0.792791,
        0.744679,
        0.953687,
        0.763258,
        0.683297,
        0.782879,
        0.851725,
        0.748267,
        0.76948,
        0.658981,
        0.90419,
        0.782049,
        0.762562,
        0.955188,
        0.910429,
        0.789257,
        0.974132,
        0.772938,
        0.827104,
        0.903809,
        0.729942,
        0.860747,
        1.00578,
        1.05541,
        0.968369,
        1.05294,
        0.987178,
        0.728727,
        0.836722,
        0.803397,
        0.830959,
        0.648941,
        0.853534,
        0.956858,
        0.930703,
        0.846415,
        0.88666,
        0.914266,
        0.765293,
        0.725271,
        0.606032,
        0.601948,
        0.732174,
        0.895877,
        0.872614,
        0.776312,
        0.816447,
        0.762908,
        0.652133,
        0.675129,
        0.674588,
        0.817799,
        0.724887,
        0.544168,
        0.831571,
        0.908317,
        0.870657,
        0.875133,
        0.971332,
        0.789128,
        0.828307,
        0.502497,
        0.753453,
        0.858042,
        0.821646,
        1.24166,
        1.56923,
        1.28658,
        0.992437,
        1.00703,
        0.890397,
        1.24588,
        0.879615,
        0.926552,
        0.66897,
        0.666262,
        0.807627,
        0.782022,
        0.838905,
        0.679863,
        0.674885,
        0.766387,
        0.591626,
        0.619323,
        0.854195,
        0.80228,
        0.872864,
        1.09143,
        0.956918,
        0.896279,
        0.963501,
        1.06221,
        0.927815,
        0.812359,
        0.674917,
        0.541863,
        0.78968,
        0.818063,
        0.901104,
        0.9306,
        0.780252,
        0.768009,
        0.795404,
        0.729703,
        0.828619,
        0.958483,
        0.911891,
        0.874253,
        0.80854,
        0.738144,
        0.668988,
        0.656621,
        0.798009,
        0.902189,
        1.00442,
        1.00746,
        0.787726,
        0.621628,
        0.674099,
        0.705747,
        0.829827,
        0.741711,
        0.846573,
        0.902717,
        0.946348,
        0.752923,
        0.611762,
        0.56657,
        0.63156,
        0.787859,
        0.984234,
        0.869745,
        0.835681,
        0.862495,
        0.680283,
        0.625499,
        0.729933,
        0.705488,
        0.844731,
        0.733479,
        0.753408,
        0.845707,
        0.67284,
        0.841486,
        0.85649,
        0.823961,
        0.798306,
        0.735298,
        0.704161,
        0.573376,
        0.860786,
        0.861431,
        0.523795,
        0.682761,
        0.674087,
        0.787833,
        0.833694,
        0.802821,
        0.997407,
        0.931095,
        0.78735,
        0.875601,
        0.961984,
        0.848088,
        0.73326,
        0.877582,
        0.755713,
        0.892778,
        0.853974,
        0.660393,
        0.629482,
        0.68236,
        0.532485,
        0.746804,
        0.991321,
        0.790801,
        0.698993,
        0.786457,
        0.879958,
        0.880499,
        0.884224,
        0.820232,
        0.63331,
        0.734788,
        0.689085,
        0.521982,
        0.524357,
        0.484885,
        0.648866,
        0.713213,
        0.739152,
        0.697793,
        0.777394,
        0.730081,
        0.744593,
        0.839265,
        0.89929,
        0.950964,
        0.787808,
        0.734469,
        0.923403,
        0.895403,
        0.748275,
        0.696976,
        0.812015,
        0.841263,
        0.856648,
        0.746566,
        0.905632,
        0.916581,
        0.624283,
        0.595869,
        0.861056,
        0.944012,
        1.06159,
        0.871704,
        0.707624,
        0.733313,
        0.701341,
        0.799371,
        0.724334,
        0.910909,
        0.923767,
        0.826395,
        0.646715,
        0.508375,
        0.76546,
        0.687315,
        0.641667,
        0.740576,
        0.759526,
        0.753914,
        0.961058,
        1.073,
        0.844736,
        0.713659,
        0.743319,
        0.754724,
        0.823599,
        0.734105,
        0.588557,
        0.774055,
        0.810786,
        0.802259,
        0.749681,
        0.749134,
        0.599542,
        0.579974,
        0.677976,
        0.81123,
        0.935412,
        0.905212,
        0.852945,
        0.590891,
        0.77789,
        1.05144,
        1.08827,
        1.08953,
        1.05078,
        0.889066,
        0.83065,
        0.944721,
        0.832034,
        0.899574,
        0.864268,
        0.764761,
        0.842976,
        0.853375,
        0.900351,
        0.848739,
        0.628412,
        0.749302,
        0.869728,
        0.914721,
        0.696848,
        0.819214,
        0.819805,
        0.729985,
        0.886832,
        0.945052,
        0.783198,
        0.720448,
        0.876054,
        0.98898,
        0.975163,
        0.619611,
        0.630242,
        0.792896,
        0.894887,
        0.912096,
        0.909779,
        0.811479,
        0.798426,
        0.900387,
        0.913639,
        0.97508,
        0.884813,
        0.780768,
        0.88268,
        0.978918,
        1.0487,
        0.89015,
        0.962617,
        0.999645,
        null,
        0.702141,
        0.575665,
        0.775284,
        0.675991,
        0.706017,
        0.624095,
        0.925627,
        0.908643,
        0.817919,
        0.844225,
        0.743162,
        0.828606,
        0.817438,
        0.915838,
        0.717758,
        0.680761,
        0.978434,
        0.918152,
        0.71134,
        0.592773,
        0.721316,
        0.572147,
        0.697477,
        0.697582,
        0.92762,
        0.873796,
        0.64743,
        0.715516,
        0.93848,
        0.830651,
        0.85749,
        0.864353,
        0.92584,
        0.981284,
        0.945458,
        0.684732,
        0.797419,
        0.638565,
        0.630778,
        0.92583,
        1.00773,
        0.807418,
        0.755739,
        0.84974,
        0.834711,
        0.712162,
        0.681323,
        0.659226,
        0.777297,
        0.939329,
        0.81003,
        0.708069,
        0.803545,
        0.956936,
        0.776665,
        0.758,
        0.859792,
        0.857358,
        0.898916,
        0.774252,
        0.764172,
        0.773328,
        0.833562,
        0.747027,
        0.686779,
        0.807404,
        0.766824,
        0.739706,
        0.614872,
        0.6135,
        0.742145,
        0.849779,
        0.773258,
        0.761432,
        0.9043,
        1.06402,
        0.902718,
        1.02861,
        0.765267,
        0.920421,
        1.03162,
        1.01241,
        0.982029,
        1.01072,
        0.910757,
        0.766093,
        0.798223,
        0.759152,
        0.626435,
        0.678714,
        0.842663,
        0.902424,
        0.845299,
        0.795484,
        0.657042,
        0.7171,
        0.77975,
        0.894743,
        0.810757,
        0.658839,
        0.702695,
        0.887615,
        0.774916,
        0.713092,
        0.612353,
        0.870687,
        0.832837,
        0.755807,
        0.732244,
        0.799393,
        0.94226,
        0.916396,
        0.740515,
        0.627111,
        0.607975,
        0.738945,
        0.634048,
        0.662529,
        0.755098,
        0.913966,
        0.876081,
        0.707115,
        0.675688,
        0.899964,
        0.8559,
        0.758039,
        0.712279,
        0.740579,
        0.617321,
        0.599634,
        0.768259,
        0.863901,
        0.675363,
        0.646269,
        0.662515,
        0.950466,
        0.69364,
        1.04866,
        0.747679,
        0.779624,
        0.486313,
        0.630966,
        0.858013,
        0.878809,
        0.668709,
        0.732319,
        0.514129,
        0.813834,
        0.82823,
        0.613123,
        0.595105,
        0.817229,
        0.841994,
        0.884143,
        0.779447,
        0.92051,
        0.696346,
        0.639932,
        0.744181,
        0.81123,
        0.898902,
        0.739558,
        0.784343,
        0.631773,
        0.69818,
        0.749457,
        1.03184,
        1.02422,
        0.783522,
        0.683535,
        0.89019,
        0.920472,
        0.700119,
        0.529301,
        0.853482,
        0.823183,
        0.590652,
        0.549143,
        0.78145,
        1.02892,
        0.932179,
        0.788002,
        0.738769,
        0.845025,
        0.844362,
        0.878249,
        0.954763,
        1.15054,
        1.2895,
        0.820734,
        0.342313,
        0.711697,
        0.871054,
        0.997513,
        0.893195,
        0.717453,
        0.951476,
        0.92983,
        1.31128,
        1.13807,
        0.97512,
        0.682908,
        0.613261,
        0.819926,
        1.18062,
        0.92591,
        0.562756,
        0.786429,
        0.985086,
        0.81208,
        1.10581,
        0.720715,
        0.377996,
        0.44217,
        0.666371,
        0.378623,
        1.30848,
        0.581086,
        0.661431,
        0.569884,
        1.12239,
        1.49969,
        0.85976,
        0.820546,
        1.52977,
        1.3007,
        1.08975,
        1.86427,
        1.81383,
        5.81852,
        58.3269,
        2.32121,
        1.32291,
        1.36439,
        0.76108,
        1.07268,
        0.550772,
        0.521224,
        1.07749,
        1.28371,
        0.778161,
        0.955049,
        0.632723,
        0.536994,
        0.455961,
        0.855289,
        0.869406,
        1.21409,
        0.712295,
        0.788032,
        0.594472,
        0.458479,
        0.908008,
        0.617297,
        0.351868,
        0.742383,
        0.500191,
        0.342294,
        0.627352,
        0.694293,
        0.873644,
        1.00582,
        1.0813,
        0.736555,
        0.876764,
        0.825975,
        0.725525,
        0.821526,
        1.0026,
        0.899949,
        1.04199,
        1.07696,
        0.723181,
        0.78605,
        0.840874,
        1.10275,
        1.07403,
        0.922939,
        0.7885,
        0.953857,
        1.00095,
        0.97385,
        1.09732,
        0.964324,
        0.724445,
        0.736376,
        0.739196,
        0.901768,
        1.01857,
        0.939636,
        0.872592,
        0.895734,
        0.934161,
        0.873669,
        0.715417,
        0.707642,
        0.806495,
        0.764537,
        0.789021,
        0.953631,
        1.0151,
        1.00186,
        0.794159,
        0.768505,
        0.788089,
        0.725783,
        0.806623,
        0.698043,
        0.855406,
        0.748283,
        0.872497,
        1.01421,
        1.03639,
        0.79232,
        0.811832,
        0.848762,
        0.845184,
        0.828212,
        0.89225,
        0.971233,
        0.845224,
        0.775231,
        0.947001,
        0.74722,
        0.681249,
        0.703001,
        0.567997,
        0.824189,
        0.768286,
        0.832307,
        0.858495,
        0.685823,
        0.858863,
        0.731345,
        0.727019,
        0.659602,
        0.833623,
        0.91403,
        0.954908,
        0.769515,
        0.689773,
        0.77686,
        0.798839,
        0.745949,
        0.683097,
        0.608157,
        0.650463,
        0.79143,
        0.732416,
        0.783576,
        0.825209,
        0.858368,
        0.857831,
        0.657412,
        0.758645,
        0.735599,
        0.655222,
        0.713405,
        0.835783,
        0.760089,
        0.663716,
        0.75865,
        0.892453,
        0.74808,
        0.868125,
        0.889449,
        0.88739,
        0.8999,
        1.02414,
        0.969449,
        1.14248,
        1.03635,
        0.875627,
        0.713133,
        0.728363,
        0.639934,
        0.770184,
        0.677689,
        0.832373,
        0.711515,
        0.631378,
        0.86586,
        0.918854,
        0.742607,
        0.789493,
        1.05821,
        0.918045,
        0.923071,
        0.941665,
        0.630615,
        1.03002,
        1.06492,
        0.997979,
        0.779835,
        0.930649,
        0.947667,
        0.827022,
        0.772509,
        0.892585,
        0.726044,
        0.768859,
        0.87918,
        0.863322,
        0.973174,
        0.89408,
        1.05272,
        0.981874,
        0.793007,
        0.705943,
        0.748943,
        0.946595,
        1.00785,
        0.935153,
        0.924457,
        0.858956,
        0.89458,
        1.14331,
        0.770231,
        0.943777,
        0.9362,
        0.861823,
        0.812125,
        0.778948,
        1.05268,
        1.11942,
        0.944468,
        0.865876,
        0.964961,
        0.904697,
        0.744525,
        0.621355,
        0.810274,
        0.824418,
        0.790405,
        0.702306,
        0.819046,
        0.767537,
        0.730827,
        0.88633,
        1.06449,
        0.95557,
        0.939217,
        1.03827,
        0.867214,
        0.789131,
        0.877376,
        0.83233,
        0.639734,
        0.769504,
        0.839405,
        1.01153,
        0.982252,
        1.16372,
        0.917874,
        0.700021,
        0.891536,
        0.96643,
        0.707369,
        0.763656,
        0.970048,
        0.887193,
        0.819562,
        0.847614,
        0.79031,
        0.689827,
        0.883386,
        0.852414,
        0.784744,
        0.675809,
        0.988112,
        1.07793,
        0.9811,
        0.654244,
        0.771383,
        0.986069,
        0.760939,
        0.757231,
        0.768638,
        0.779597,
        0.861129,
        0.857306,
        0.902961,
        0.879859,
        0.861817,
        0.785171,
        0.802666,
        0.914541,
        0.833986,
        0.796297,
        0.73611,
        0.682295,
        0.664457,
        0.845239,
        0.887513,
        0.810393,
        0.970886,
        0.804999,
        0.698598,
        0.671435,
        0.719672,
        0.754026,
        0.646619,
        0.727576,
        0.867215,
        0.853656,
        0.81857,
        0.81382,
        0.735265,
        0.688783,
        0.880863,
        0.75699,
        0.533956,
        0.668651,
        0.774699,
        0.746672,
        0.675713,
        0.667872,
        0.697949,
        0.712174,
        0.675832,
        0.609661,
        0.684607,
        0.632652,
        0.588516,
        0.676453,
        0.797758,
        0.84021,
        0.725504,
        0.785899,
        0.825269,
        0.775783,
        0.9433,
        0.700614,
        0.74998,
        0.820385,
        0.723058,
        0.819536,
        0.901994,
        0.712273,
        0.78428,
        0.581216,
        0.798702,
        0.781549,
        0.842081,
        0.612497,
        0.394262,
        0.656183,
        0.648966,
        0.642084,
        0.764629,
        0.744855,
        0.76713,
        1.00072,
        0.911769,
        0.604812,
        0.618281,
        0.768333,
        0.691209,
        0.88838,
        0.796069,
        0.626107,
        0.727252,
        0.728942,
        0.705219,
        0.771422,
        0.817623,
        0.753641,
        0.665974,
        0.611726,
        0.690752,
        0.842246,
        0.829842,
        0.741478,
        0.700338,
        0.790363,
        0.804147,
        0.953243,
        0.826449,
        0.658794,
        0.840076,
        0.924865,
        0.767929,
        0.804367,
        0.861696,
        0.653786,
        0.860793,
        0.801172,
        0.808783,
        0.816142,
        0.695928,
        0.890552,
        0.773185,
        0.797371,
        0.897485,
        0.676519,
        0.674716,
        0.735646,
        0.764187,
        0.87068,
        0.827303,
        0.939807,
        0.915153,
        0.808395,
        0.724796,
        0.75389,
        0.544613,
        0.644636,
        0.598561,
        0.508221,
        0.570344,
        0.818156,
        0.762695,
        0.602742,
        0.793253,
        0.826399,
        0.854642,
        0.862471,
        0.770965,
        0.783658,
        0.84052,
        0.828139,
        0.855411,
        0.884401,
        0.889434,
        0.75054,
        0.847645,
        0.78727,
        0.646593,
        0.767481,
        0.78625,
        0.737,
        0.794078,
        0.857604,
        0.779314,
        0.698604,
        0.850659,
        0.85361,
        0.85081,
        0.869451,
        0.814899,
        0.768291,
        0.666776,
        0.923926,
        0.950773,
        0.780066,
        0.778087,
        0.649976,
        0.819969,
        0.737787,
        0.664686,
        0.877985,
        0.744585,
        0.647045,
        0.648995,
        0.929565,
        0.975815,
        0.836918,
        0.860408,
        0.737335,
        0.674087,
        0.834583,
        0.69329,
        0.534208,
        0.606412,
        0.798934,
        0.984289,
        0.694095,
        0.749086,
        0.817412,
        0.787295,
        0.785443,
        0.894526,
        0.762269,
        0.862911,
        0.755381,
        0.80387,
        0.871359,
        0.792194,
        0.901161,
        0.96126,
        0.796231,
        0.815558,
        0.962805,
        0.683285,
        0.781499,
        0.828107,
        0.783134,
        0.780822,
        0.774246,
        0.712893,
        0.720183,
        0.938433,
        0.838157,
        0.906093,
        0.749807,
        0.891688,
        0.745147,
        0.742403,
        1.00867,
        0.878363,
        0.661252,
        0.666741,
        0.554378,
        0.731254,
        0.925137,
        0.834179,
        0.858229,
        0.957832,
        1.02315,
        0.8864,
        0.704512,
        0.653382,
        0.674788,
        0.857263,
        0.800907,
        0.749767,
        0.845036,
        0.777268,
        0.591128,
        0.843303,
        0.927291,
        0.704018,
        0.541883,
        0.625436,
        0.702103,
        0.974244,
        0.903018,
        0.841026,
        0.759809,
        0.880722,
        0.849298,
        0.688495,
        0.66162,
        0.789453,
        0.842044,
        0.690221,
        0.747831,
        0.741192,
        0.892062,
        0.844247,
        0.981081,
        0.810011,
        0.692409,
        0.815417,
        0.921334,
        0.730682,
        0.782511,
        0.719867,
        0.667188,
        0.68513,
        0.815247,
        0.717603,
        0.630992,
        0.788398,
        0.944111,
        1.15414,
        1.16739,
        1.11586,
        1.20529,
        0.875473,
        0.848112,
        0.837552,
        0.66653,
        0.901013,
        0.874343,
        0.736536,
        1.10295,
        1.25582,
        1.06306,
        1.04301,
        0.973193,
        0.62633,
        0.597314,
        0.814291,
        0.982156,
        0.842851,
        0.731585,
        0.579977,
        0.938706,
        0.969374,
        0.962961,
        0.656336,
        0.691358,
        1.18655,
        0.865695,
        1.04076,
        0.596481,
        0.810105,
        0.885058,
        0.928659,
        0.823204,
        0.980471,
        1.28142,
        1.21617,
        1.24502,
        0.889762,
        0.69382,
        0.714397,
        0.967211,
        1.00032,
        0.753639,
        0.76057,
        1.20562,
        0.967049,
        1.23146,
        0.909528,
        0.963945,
        1.10183,
        1.09801,
        1.19068,
        0.86878,
        0.730401,
        0.958734,
        1.10258,
        0.455948,
        0.661758,
        0.415756,
        0.465312,
        0.681036,
        0.734346,
        0.826301,
        0.822923,
        0.930885,
        0.706602,
        0.967705,
        0.912711,
        0.340987,
        0.461171,
        0.892929,
        0.617156,
        1.17714,
        0.818837,
        0.607142,
        0.608728,
        0.664708,
        0.443539,
        1.07222,
        0.609313,
        0.572797,
        1.14527,
        1.02983,
        0.76157,
        1.04608,
        2.01605,
        6.71613,
        3.34269,
        1.91026,
        2.45638,
        1.29187,
        1.76674,
        2.31897,
        2.47358,
        1.7279,
        5.96373,
        null,
        1.96668,
        1.51624,
        1.21528,
        1.39142,
        0.9585,
        1.47733,
        1.30155,
        0.971784,
        0.742568,
        1.10218,
        1.21871,
        0.979742,
        0.658241,
        0.706511,
        1.07879,
        1.12722,
        0.746822,
        0.991318,
        0.941849,
        0.946862,
        1.02913,
        0.58686,
        0.852431,
        0.97153,
        1.23757,
        0.438373,
        1.03935,
        0.539388,
        0.853436,
        0.775932,
        0.920181,
        0.993257,
        1.04489,
        1.01972,
        0.799706,
        0.757057,
        0.609631,
        0.74625,
        0.917815,
        1.28147,
        1.07959,
        1.19066,
        0.887186,
        0.680719,
        0.927568,
        0.85159,
        1.15247,
        1.05105,
        0.646705,
        0.555121,
        0.610951,
        0.942712,
        1.15803,
        0.978926,
        1.04919,
        0.457324,
        0.428552,
        0.917484,
        0.825865,
        0.953888,
        0.651305,
        0.601342,
        0.653876,
        0.923412,
        0.72905,
        0.673831,
        1.0696,
        0.573142,
        0.736687,
        0.59283,
        0.863354,
        0.813089,
        0.751622,
        0.713957,
        1.28101,
        0.800441,
        0.546504,
        0.943317,
        0.770767,
        1.08321,
        0.835979,
        1.09244,
        0.456531,
        0.79275,
        0.990365,
        0.82544,
        0.784558,
        0.920518,
        1.16246,
        0.77104,
        0.429097,
        0.648992,
        0.849655,
        0.742427,
        0.502434,
        0.695228,
        0.678514,
        0.947898,
        0.827899,
        0.937155,
        0.897586,
        0.73429,
        0.443862,
        0.61441,
        0.875007,
        0.743474,
        0.80599,
        0.478281,
        0.804026,
        0.85292,
        1.20624,
        0.866076,
        0.74846,
        0.98176,
        0.923036,
        0.849803,
        1.00127,
        0.672586,
        0.733543,
        0.799608,
        0.921176,
        0.791462,
        0.672576,
        0.5884,
        1.14658,
        0.729406,
        0.753292,
        0.770847,
        0.651029,
        0.854483,
        1.02228,
        1.16917,
        0.523638,
        0.697594,
        0.668566,
        0.943045,
        0.767334,
        0.513651,
        0.439767,
        0.679377,
        0.82645,
        0.369504,
        0.481635,
        0.643296,
        0.509676,
        0.76156,
        0.804602,
        0.843588,
        0.836378,
        0.911566,
        0.910639,
        0.406556,
        0.794829,
        0.859674,
        0.854338,
        0.993445,
        0.71069,
        0.730792,
        0.817175,
        0.690194,
        0.417965,
        0.762424,
        0.993278,
        0.89734,
        0.700936,
        0.589735,
        0.660337,
        0.442207,
        0.791047,
        1.00771,
        1.06155,
        0.949022,
        0.447687,
        0.450684,
        0.849096,
        0.973832,
        0.78485,
        0.768039,
        0.618412,
        0.83995,
        0.865789,
        0.86959,
        0.888364,
        0.671303,
        0.828442,
        0.770529,
        0.69869,
        0.387315,
        0.530922,
        0.72137,
        0.667624,
        0.350012,
        0.708865,
        0.908868,
        0.976748,
        1.00758,
        0.563454,
        0.481544,
        1.11987,
        1.13497,
        0.689435,
        0.462784,
        0.730806,
        0.954094,
        0.701446,
        0.734245,
        0.669374,
        0.832536,
        0.922445,
        0.651016,
        0.785085,
        0.706304,
        0.58881,
        0.654165,
        0.85945,
        0.966986,
        0.875768,
        0.809183,
        0.468438,
        0.454718,
        0.5378,
        0.435829,
        0.933069,
        0.86141,
        0.941539,
        0.926074,
        1.16382,
        0.944553,
        0.801187,
        0.809909,
        0.999973,
        1.09721,
        1.03474,
        0.79939,
        1.21701,
        0.877341,
        0.389465,
        0.654566,
        0.685923,
        0.900639,
        0.841141,
        1.07314,
        0.853892,
        1.27597,
        0.763815,
        0.570236,
        0.859012,
        1.0942,
        1.12027,
        1.02022,
        1.00851,
        0.788223,
        0.84376,
        0.658671,
        1.0831,
        0.902319,
        0.654821,
        0.726211,
        1.26096,
        1.09459,
        1.05202,
        0.968993,
        1.19977,
        1.02698,
        0.63063,
        0.683022,
        1.09056,
        0.978966,
        0.968966,
        0.719351,
        0.672399,
        1.71262,
        1.04404,
        1.51828,
        1.27114,
        1.26699,
        1.12809,
        0.932095,
        0.862679,
        0.809198,
        1.03706,
        0.654042,
        0.809169,
        0.846432,
        0.735515,
        1.09186,
        1.11869,
        1.56743,
        2.05859,
        1.00146,
        1.4915,
        1.78518,
        1.22658,
        1.48562,
        3.0003,
        3.79278,
        4.42948,
        4.67635,
        2.60081,
        4.03472,
        7.11055,
        13.4496,
        8.51575,
        5.31346,
        2.00469,
        1.76047,
        1.40775,
        1.27954,
        0.827183,
        1.34125,
        2.25815,
        0.994313,
        1.28691,
        1.50076,
        1.0947,
        0.787699,
        0.936755,
        0.837774,
        0.731884,
        1.48209,
        1.02942,
        0.715811,
        1.3222,
        0.671837,
        1.11976,
        0.695561,
        1.08981,
        0.820565,
        1.06117,
        1.52246,
        1.32646,
        0.574195,
        0.46791,
        1.19214,
        0.631483,
        0.664263,
        0.682112,
        1.10162,
        0.862743,
        1.22462,
        0.597343,
        0.53187,
        0.582818,
        1.01147,
        1.47207,
        0.524353,
        0.454277,
        0.694769,
        0.70933,
        1.13545,
        0.856338,
        0.915849,
        0.945204,
        0.51821,
        0.817702,
        0.558927,
        0.503543,
        0.841782,
        1.16209,
        1.26304,
        0.965145,
        1.02543,
        1.11647,
        1.2067,
        0.734303,
        0.555655,
        0.541939,
        0.614319,
        0.628486,
        0.658702,
        0.853345,
        1.21369,
        1.37802,
        1.42767,
        1.33048,
        1.08021,
        0.699564,
        1.27265,
        0.713531,
        0.976803,
        0.670572,
        0.930244,
        0.429951,
        0.817095,
        0.425876,
        0.542063,
        0.453721,
        0.458096,
        0.621179,
        0.695037,
        0.873017,
        0.949356,
        0.900036,
        0.887024,
        0.92984,
        0.756366,
        0.828779,
        0.932053,
        0.693983,
        0.420902,
        0.680527,
        1.03446,
        1.04162,
        0.689088,
        0.70491,
        0.837469,
        0.636018,
        1.04463,
        1.15091,
        0.799725,
        0.660075,
        0.83777,
        0.77085,
        0.719596,
        0.814001,
        0.669018,
        0.793452,
        0.914306,
        0.802077,
        0.583884,
        1.01847,
        0.889017,
        0.91434,
        1.00839,
        0.95409,
        0.694872,
        0.819989,
        0.794869,
        0.795808,
        0.776576,
        0.708344,
        0.778715,
        0.737034,
        1.16392,
        0.838667,
        0.687277,
        0.502092,
        0.648838,
        0.765669,
        0.941315,
        0.694035,
        0.471654,
        0.667273,
        0.894746,
        0.441293,
        0.728993,
        0.909409,
        0.715469,
        0.813464,
        0.79271,
        0.798395,
        0.965841,
        0.776248,
        0.925388,
        0.640219,
        0.370648,
        0.620133,
        0.71614,
        0.741829,
        0.828488,
        0.705593,
        0.683176,
        0.588518,
        0.647612,
        0.845712,
        0.943473,
        1.00865,
        1.00976,
        1.06763,
        0.949255,
        0.744373,
        0.745751,
        0.865647,
        0.814655,
        0.814189,
        0.702157,
        0.826401,
        0.748628,
        0.440546,
        0.918093,
        0.926529,
        0.85242,
        0.897469,
        0.649961,
        0.956628,
        0.821196,
        0.582161,
        0.768463,
        0.77107,
        0.833105,
        0.853886,
        0.740649,
        0.831744,
        1.02674,
        0.864792,
        0.854667,
        0.718884,
        0.858763,
        0.971571,
        0.617284,
        0.836172,
        0.827372,
        0.702217,
        0.669478,
        0.819694,
        1.00473,
        0.928649,
        0.839774,
        0.87954,
        0.936699,
        0.862372,
        0.799527,
        0.730741,
        0.779777,
        0.819988,
        0.864875,
        0.894359,
        0.809037,
        0.704312,
        1.01328,
        0.728247,
        0.594441,
        0.506609,
        0.483792,
        0.753961,
        0.789983,
        0.807242,
        0.881346,
        1.0699,
        0.96798,
        0.771117,
        0.790818,
        1.0875,
        1.12923,
        0.997766,
        0.759027,
        0.750073,
        0.694939,
        0.89305,
        0.799959,
        1.05309,
        0.978793,
        0.743611,
        0.9017,
        0.820844,
        0.644823,
        0.703702,
        1.05541,
        0.904212,
        0.846906,
        1.03421,
        0.845976,
        0.870052,
        0.678525,
        0.514213,
        0.928695,
        1.14299,
        0.927117,
        0.596279,
        0.788131,
        0.880995,
        0.774258,
        0.90702,
        1.00587,
        0.782979,
        0.804334,
        0.68147,
        0.605254,
        0.729814,
        0.879856,
        0.899427,
        0.71384,
        0.835533,
        0.894728,
        0.988501,
        0.935758,
        0.811383,
        1.0005,
        0.736425,
        0.786456,
        0.634057,
        0.456603,
        0.655042,
        0.564401,
        0.627392,
        0.862354,
        0.923044,
        0.981217,
        0.953696,
        0.793645,
        1.00317,
        1.09448,
        0.795234,
        0.709342,
        0.735114,
        0.576021,
        0.400879,
        0.524021,
        0.741757,
        0.822081,
        0.823862,
        0.758528,
        0.674541,
        0.848101,
        0.634664,
        0.850128,
        0.925329,
        0.83612,
        0.75165,
        0.957933,
        0.800919,
        0.652661,
        0.698509,
        0.989015,
        1.21694,
        0.886827,
        0.724505,
        0.848966,
        0.862204,
        0.841847,
        0.762341,
        0.782145,
        0.889685,
        1.0816,
        0.889172,
        0.766542,
        1.07135,
        0.985772,
        0.755807,
        0.898689,
        0.847421,
        0.953843,
        0.785477,
        0.841222,
        0.745979,
        0.773558,
        0.801341,
        0.55968,
        0.70344,
        0.761805,
        0.704508,
        0.844382,
        0.751164,
        0.822144,
        0.661926,
        0.53591,
        0.742533,
        0.754058,
        0.842212,
        0.795806,
        0.859751,
        0.829287,
        0.598505,
        0.789619,
        0.684755,
        0.778535,
        0.878924,
        1.00249,
        0.916084,
        1.00071,
        0.886452,
        1.06196,
        0.944136,
        0.99072,
        0.863706,
        0.748713,
        0.771189,
        0.819622,
        0.896841,
        0.772177,
        0.67134,
        0.798767,
        0.835893,
        0.891686,
        0.785145,
        0.940776,
        0.869267,
        0.834129,
        0.830788,
        0.898885,
        0.889644,
        0.654022,
        0.756767,
        0.740136,
        0.608731,
        0.797915,
        1.05615,
        1.09942,
        0.857039,
        0.867031,
        0.94202,
        0.904348,
        0.808807,
        0.757905,
        0.550277,
        0.503355,
        0.664615,
        0.622524,
        0.577797,
        0.790328,
        0.691278,
        0.646481,
        0.783083,
        0.981091,
        0.928335,
        0.857424,
        1.0257,
        0.981624,
        0.726267,
        0.861395,
        0.64272,
        0.719224,
        0.923956,
        0.754969,
        0.578437,
        0.910183,
        0.820294,
        0.6252,
        0.666229,
        0.766802,
        0.805722,
        0.725777,
        0.661825,
        0.613559,
        0.905684,
        1.28617,
        0.952241,
        0.794835,
        0.868357,
        0.825064,
        0.516982,
        null,
        0.778747,
        0.712279,
        0.815447,
        0.741012,
        0.676002,
        0.679799,
        0.715818,
        0.92035,
        0.918144,
        0.685008,
        0.902318,
        0.844961,
        0.738812,
        0.786116,
        0.814973,
        0.784998,
        0.730971,
        0.905789,
        0.933815,
        0.669799,
        0.839508,
        0.802449,
        0.684567,
        0.874941,
        0.887621,
        0.960723,
        0.802726,
        0.778612,
        0.926904,
        0.763898,
        0.720074,
        0.58922,
        0.792686,
        0.79828,
        0.828387,
        0.918726,
        0.908068,
        0.744615,
        0.809746,
        0.744618,
        0.842708,
        0.932195,
        0.922451,
        1.02969,
        0.866682,
        0.871987,
        0.821363,
        0.715293,
        0.748832,
        0.966498,
        0.936984,
        0.862641,
        0.804352,
        0.835236,
        0.794839,
        1.03282,
        1.11821,
        0.745665,
        0.88996,
        0.876438,
        0.861265,
        1.06111,
        0.963217,
        0.893326,
        1.02198,
        0.803173,
        0.908355,
        1.0057,
        0.829702,
        0.738705,
        0.861998,
        0.855876,
        0.737403,
        0.632881,
        0.914403,
        0.963197,
        0.813164,
        0.797687,
        0.798452,
        0.658644,
        0.875272,
        0.942307,
        1.0435,
        0.862908,
        0.792151,
        0.67425,
        0.734725,
        0.910564,
        0.797939,
        0.873959,
        0.79803,
        0.75295,
        0.652105,
        0.561112,
        0.741558,
        0.883939,
        0.772488,
        0.766535,
        0.643498,
        0.659542,
        0.805029,
        0.974643,
        0.847925,
        0.846556,
        0.627849,
        0.817596,
        0.898606,
        0.873701,
        0.798612,
        0.856887,
        0.79736,
        0.782588,
        0.70367,
        0.749484,
        0.914614,
        0.750547,
        0.588516,
        1.07192,
        0.739893,
        1.17747,
        1.21462,
        1.35077,
        1.85462,
        1.30797,
        1.48371,
        1.15234,
        0.980927,
        0.704181,
        1.16161,
        0.898926,
        1.07597,
        0.756913,
        0.610862,
        0.606986,
        0.45354,
        0.61042,
        0.755108,
        0.740122,
        0.721955,
        0.822396,
        0.839944,
        0.972988,
        1.01698,
        1.03238,
        0.792446,
        0.714489,
        0.842123,
        0.819949,
        0.890444,
        0.925352,
        0.881771,
        0.866905,
        0.852905,
        0.779072,
        0.815189,
        0.894945,
        0.880627,
        0.93245,
        0.805097,
        0.879172,
        0.838218,
        0.843985,
        0.846424,
        0.798236,
        0.936543,
        0.871755,
        0.724787,
        0.724973,
        0.782405,
        0.846592,
        0.942513,
        0.75691,
        0.789512,
        0.840857,
        0.791647,
        0.737233,
        0.637537,
        0.89526,
        1.03262,
        0.691783,
        0.901668,
        0.781619,
        0.793848,
        0.726176,
        0.621851,
        0.879669,
        0.897173,
        0.804406,
        0.844008,
        1.00261,
        0.920853,
        0.86039,
        0.928783,
        0.67974,
        0.849818,
        0.916916,
        0.932587,
        0.802847,
        0.809317,
        0.907298,
        0.771835,
        0.861116,
        0.864169,
        0.725754,
        0.629274,
        0.622551,
        0.651466,
        0.90773,
        0.824525,
        0.813182,
        0.719449,
        0.883115,
        0.839781,
        1.006,
        0.831179,
        0.750056,
        0.727903,
        0.833452,
        0.733537,
        0.835667,
        0.99618,
        1.02254,
        0.828992,
        0.877705,
        0.818991,
        0.854279,
        0.804913,
        0.88191,
        0.762719,
        0.860304,
        0.970697,
        0.889118,
        0.933127,
        0.805048,
        0.792112,
        0.893213,
        0.835938,
        0.858393,
        0.93882,
        1.04092,
        0.858536,
        0.848869,
        0.891683,
        0.840858,
        0.789431,
        0.819751,
        0.848215,
        0.789223,
        0.721669,
        0.733192,
        0.764769,
        0.941029,
        0.941614,
        0.728524,
        0.889688,
        0.977638,
        0.855563,
        0.654847,
        0.545272,
        0.724662,
        0.888272,
        0.800552,
        0.852888,
        0.750765,
        0.771947,
        0.618765,
        0.603754,
        0.845566,
        0.772366,
        0.834385,
        0.880967,
        0.967448,
        0.841444,
        0.814482,
        0.770255,
        0.798878,
        0.793184,
        0.826378,
        0.786921,
        0.786423,
        0.891773,
        0.9399,
        0.736134,
        0.734264,
        0.606053,
        0.867591,
        1.04572,
        1.06305,
        1.13311,
        0.966789,
        0.903768,
        0.771879,
        0.806939,
        0.781358,
        0.899009,
        0.829891,
        0.627111,
        0.858584,
        1.09028,
        0.974424,
        0.888191,
        0.839284,
        0.988381,
        0.819922,
        0.8011,
        0.828755,
        0.802522,
        0.898224,
        0.889968,
        0.875484,
        0.940721,
        0.962034,
        0.967661,
        0.782368,
        0.858926,
        0.859983,
        1.04377,
        0.762602,
        0.752013,
        0.881065,
        0.989775,
        0.891827,
        0.759042,
        0.915294,
        0.861402,
        0.865439,
        0.934379,
        0.923244,
        0.961655,
        0.766343,
        0.789115,
        0.927063,
        0.794854,
        0.960134,
        0.922245,
        0.853404,
        0.702259,
        0.929952,
        0.953503,
        0.934359,
        0.936548,
        0.847643,
        0.929751,
        0.953165,
        0.855075,
        0.995224,
        0.912903,
        0.901471,
        0.850779,
        0.786758,
        0.850591,
        0.887579,
        0.778567,
        0.724298,
        0.874233,
        0.903032,
        0.842253,
        0.88763,
        0.84483,
        0.760293,
        0.922419,
        1.02653,
        0.691843,
        0.750641,
        0.830247,
        0.832058,
        0.739905,
        0.798198,
        0.804722,
        0.895497,
        0.909466,
        0.827385,
        0.76861,
        0.712696,
        0.90574,
        0.858507,
        0.818133,
        0.836233,
        0.807175,
        0.796817,
        0.788823,
        0.775124,
        0.864087,
        0.895939,
        0.926228,
        0.927583,
        0.889266,
        0.635227,
        0.544706,
        0.873666,
        0.970603,
        0.818907,
        0.680824,
        0.845233,
        0.967407,
        1.00379,
        0.934694,
        0.692708,
        0.740407,
        0.884046,
        0.846479,
        0.671406,
        0.613838,
        0.763763,
        0.958506,
        0.984148,
        0.795839,
        0.846051,
        0.805545,
        0.78558,
        0.812496,
        0.890242,
        0.889716,
        0.797122,
        0.902625,
        0.807771,
        0.757268,
        0.921405,
        0.870456,
        0.782169,
        0.62645,
        0.787144,
        1.09064,
        0.944308,
        0.807704,
        0.92994,
        0.885826,
        0.890494,
        0.982065,
        0.787825,
        0.697127,
        0.726587,
        0.735846,
        0.887361,
        0.830145,
        0.590313,
        0.707675,
        0.444684,
        0.632706,
        0.898763,
        1.02038,
        0.920311,
        0.88854,
        0.951467,
        0.826981,
        0.63216,
        0.615937,
        0.87079,
        0.910293,
        0.795324,
        0.891594,
        0.938122,
        1.00172,
        1.04225,
        0.856012,
        0.970879,
        0.961122,
        0.789868,
        0.752011,
        0.913467,
        1.02756,
        0.708916,
        0.626519,
        0.688069,
        0.710887,
        0.71599,
        0.787121,
        0.948315,
        0.857561,
        0.762583,
        0.661461,
        0.644949,
        0.721489,
        0.768704,
        0.774131,
        0.811844,
        1.0234,
        0.716795,
        0.695267,
        0.819779,
        0.701592,
        0.983895,
        1.11887,
        0.816259,
        0.69885,
        0.800255,
        0.809579,
        0.545524,
        0.822412,
        0.883924,
        0.689807,
        0.757749,
        0.710479,
        0.747843,
        0.892052,
        0.803335,
        0.849541,
        0.690728,
        0.801138,
        0.86439,
        0.69472,
        0.770014,
        0.775544,
        0.734795,
        0.651031,
        0.588285,
        0.715164,
        0.867407,
        0.836751,
        0.849192,
        0.907685,
        0.75074,
        0.624257,
        0.782726,
        0.918311,
        0.73976,
        0.872497,
        0.896602,
        0.891272,
        0.826741,
        0.863412,
        0.80776,
        0.78701,
        0.870371,
        0.864829,
        0.779826,
        0.816415,
        0.729914,
        0.738676,
        0.842588,
        0.810725,
        0.814143,
        0.657866,
        0.811601,
        0.726561,
        0.74798,
        0.788621,
        0.927021,
        0.87794,
        0.842996,
        0.794627,
        0.736456,
        0.834546,
        0.77327,
        0.74167,
        0.757546,
        0.841277,
        0.865211,
        0.943834,
        0.968764,
        0.779773,
        0.789653,
        0.793909,
        0.822638,
        0.749206,
        0.753217,
        0.793573,
        0.839934,
        0.898904,
        0.860922,
        0.677114,
        0.754068,
        0.915299,
        1.01164,
        0.889861,
        0.793598,
        0.898695,
        0.914789,
        0.808071,
        0.741713,
        0.906881,
        0.980575,
        0.814228,
        0.841622,
        0.820811,
        0.820105,
        0.597809,
        0.941013,
        0.760191,
        0.640379,
        0.809628,
        0.777795,
        1.12381,
        0.854364,
        0.65458,
        0.692066,
        0.713988,
        0.817411,
        0.612475,
        0.685125,
        0.772267,
        0.627852,
        0.638196,
        0.693402,
        0.732636,
        0.580008,
        0.676538,
        0.845993,
        0.830298,
        0.937466,
        0.869475,
        0.862664,
        0.785138,
        0.833632,
        0.633673,
        0.800606,
        0.790275,
        0.767099,
        0.768222,
        0.823742,
        0.869759,
        0.75624,
        0.856052,
        0.924577,
        0.927217,
        0.995323,
        0.912384,
        0.775651,
        1.00644,
        0.90828,
        0.674938,
        0.732091,
        0.799171,
        0.61479,
        0.647166,
        0.681964,
        0.690495,
        0.683276,
        0.568161,
        0.703449,
        0.535661,
        0.89826,
        0.754128,
        0.754745,
        0.602587,
        0.548321,
        0.999088,
        1.12182,
        0.761771,
        0.96961,
        1.06566,
        1.40482,
        1.60294,
        2.48893,
        13.0711,
        2.11693,
        0.964079,
        0.94991,
        1.01141,
        1.07379,
        0.851302,
        0.893603,
        1.10761,
        0.683017,
        0.620998,
        0.429762,
        0.534445,
        0.527252,
        0.859139,
        0.915664,
        0.679669,
        0.544252,
        0.705232,
        0.941363,
        0.927899,
        0.693227,
        0.821634,
        0.577855,
        0.734408,
        0.746856,
        0.981604,
        0.778174,
        0.951646,
        1.05041,
        0.951705,
        0.790432,
        0.736144,
        0.695582,
        1.07855,
        0.818196,
        0.815351,
        0.643144,
        0.762309,
        0.867096,
        0.899503,
        0.626315,
        0.592284,
        0.905472,
        0.847552,
        0.983831,
        0.761268,
        0.880395,
        0.769267,
        0.788895,
        0.826773,
        0.671023,
        0.627185,
        0.770305,
        0.605691,
        0.632189,
        0.654009,
        0.823805,
        0.791852,
        0.866462,
        0.90072,
        0.640087,
        0.729883,
        0.710935,
        0.84663,
        1.12231,
        1.04963,
        1.03574,
        0.723579,
        0.663086,
        0.804594,
        0.622862,
        0.782601,
        0.916149,
        0.857119,
        0.917386,
        0.789147,
        0.942319,
        0.95675,
        0.857726,
        0.792744,
        0.754211,
        0.713815,
        0.725164,
        0.901272,
        1.0561,
        0.862388,
        0.769271,
        0.531169,
        0.654094,
        0.816474,
        0.792522,
        0.961585,
        0.980298,
        0.961727,
        0.88083,
        0.907276,
        0.676681,
        0.565497,
        0.724699,
        0.848622,
        0.810764,
        0.779146,
        0.717739,
        0.892524,
        0.798041,
        0.831229,
        0.712192,
        0.643979,
        0.869939,
        0.820939,
        0.702061,
        0.73567,
        0.795616,
        0.673393,
        0.845279,
        0.849203,
        0.822973,
        0.890555,
        0.79729,
        0.78849,
        0.863033,
        0.792937,
        0.852338,
        0.744061,
        0.588787,
        0.672757,
        0.629417,
        0.681779,
        0.706373,
        0.716,
        0.845331,
        0.861652,
        0.6612,
        0.629554,
        0.717939,
        0.573004,
        0.756943,
        0.845284,
        0.749762,
        0.881517,
        0.828757,
        0.794922,
        0.852107,
        0.742101,
        0.90714,
        0.858,
        0.706221,
        0.768724,
        0.889264,
        0.725567,
        0.727073,
        0.824989,
        0.733671,
        0.83711,
        0.709083,
        0.721996,
        0.914138,
        0.814766,
        0.826391,
        0.939331,
        0.874837,
        0.853138,
        0.939689,
        0.79482,
        0.780432,
        0.837737,
        0.866254,
        0.866635,
        0.920755,
        0.822546,
        0.840531,
        0.708265,
        0.823867,
        0.912742,
        0.848868,
        0.73814,
        0.736057,
        0.784169,
        0.864741,
        0.920118,
        0.821213,
        0.815149,
        0.941408,
        0.949714,
        0.807745,
        0.854723,
        0.869071,
        0.626437,
        0.714517,
        0.835826,
        0.834861,
        0.761149,
        0.624635,
        0.837642,
        0.909881,
        0.85968,
        0.838948,
        0.730156,
        0.821341,
        0.912966,
        0.911846,
        0.873228,
        0.82003,
        0.844577,
        0.767247,
        0.769444,
        0.755251,
        0.888804,
        0.736142,
        0.963917,
        0.91121,
        0.851409,
        0.746649,
        0.685651,
        0.616503,
        0.700853,
        0.776034,
        0.866918,
        0.760242,
        0.880243,
        0.827549,
        0.813176,
        0.819224,
        0.621134,
        0.876767,
        1.03294,
        0.886426,
        0.672248,
        0.68598,
        0.642625,
        0.682,
        0.900291,
        0.894742,
        0.826816,
        0.788629,
        0.808095,
        0.903409,
        0.696122,
        0.639251,
        0.817538,
        0.81239,
        0.800494,
        0.622531,
        0.829986,
        0.74175,
        0.70611,
        0.733994,
        0.85392,
        1.09917,
        0.875696,
        0.713362,
        0.827506,
        0.767143,
        0.877886,
        0.90897,
        0.883701,
        0.865258,
        0.874252,
        0.836935,
        0.783053,
        0.826166,
        0.850111,
        0.843814,
        0.951097,
        0.771432,
        0.84299,
        0.87416,
        0.858713,
        0.7727,
        0.80426,
        0.786116,
        1.00378,
        0.985088,
        0.937941,
        0.903678,
        0.9583,
        0.999867,
        0.865034,
        0.818746,
        0.885704,
        1.02604,
        1.14978,
        0.9496,
        0.878249,
        0.691364,
        0.616764,
        0.856006,
        0.696166,
        0.906017,
        0.944237,
        1.0313,
        0.932622,
        0.890049,
        0.873098,
        0.981806,
        0.819608,
        0.73402,
        0.681346,
        0.887467,
        0.993758,
        0.740214,
        0.636112,
        0.782657,
        0.700453,
        0.805616,
        0.713758,
        0.720992,
        0.650731,
        0.825202,
        0.808365,
        0.790511,
        0.645099,
        0.732321,
        0.677635,
        0.683617,
        0.680656,
        0.833527,
        1.02264,
        0.753997,
        0.740826,
        0.912244,
        0.798838,
        0.934151,
        0.926602,
        0.919997,
        0.953932,
        0.864258,
        0.948892,
        0.860221,
        0.856841,
        0.863274,
        0.990985,
        1.02249,
        0.907109,
        0.822427,
        0.925883,
        0.820009,
        0.655734,
        0.727136,
        0.808692,
        0.964861,
        1.03289,
        0.956813,
        0.931469,
        1.03641,
        0.850114,
        0.956045,
        0.953513,
        0.867757,
        0.821393,
        0.592537,
        0.747267,
        0.823793,
        0.859747,
        0.703239,
        0.787876,
        0.754535,
        0.897142,
        0.878568,
        0.984135,
        0.706771,
        0.609355,
        0.782996,
        0.881794,
        0.718472,
        0.742324,
        0.735603,
        0.77794,
        0.81426,
        0.864742,
        0.836397,
        0.744108,
        0.933459,
        0.926824,
        0.861655,
        0.843278,
        0.897654,
        0.799042,
        0.732803,
        0.679658,
        0.860151,
        0.621499,
        0.760166,
        0.858679,
        0.772003,
        0.84163,
        0.647316,
        0.689784,
        0.762117,
        0.796547,
        0.852949,
        0.867949,
        0.615866,
        0.793742,
        0.641744,
        0.535107,
        0.72901,
        0.738564,
        0.917801,
        0.756935,
        0.661838,
        0.825261,
        0.798492,
        0.816666,
        0.716364,
        0.84773,
        0.839203,
        0.829488,
        0.792849,
        0.917947,
        0.7559,
        0.637175,
        0.842075,
        0.813811,
        0.767303,
        0.846092,
        0.946219,
        0.827338,
        0.71689,
        0.575979,
        0.668101,
        0.744306,
        0.791927,
        1.00578,
        0.752042,
        0.761899,
        0.77188,
        0.717751,
        0.818901,
        0.790421,
        0.650012,
        0.782238,
        0.855114,
        0.726819,
        0.59143,
        0.779369,
        0.779778,
        0.794626,
        0.856608,
        0.990008,
        1.01713,
        0.973938,
        0.887944,
        0.825167,
        0.768409,
        0.794703,
        0.836526,
        0.713444,
        0.73719,
        0.879832,
        0.792152,
        0.848455,
        0.862117,
        0.749653,
        0.750294,
        0.726417,
        0.866964,
        0.866565,
        0.748713,
        0.776841,
        0.752827,
        0.746079,
        0.653319,
        0.874347,
        0.952115,
        0.899816,
        0.909223,
        0.803239,
        0.83125,
        0.586103,
        0.752904,
        0.759035,
        0.849878,
        0.821235,
        0.720108,
        0.711041,
        0.745181,
        0.885778,
        0.787195,
        0.803908,
        0.930846,
        0.78521,
        0.741539,
        0.840662,
        0.858343,
        0.849996,
        0.760879,
        0.7862,
        0.767175,
        0.668051,
        0.817085,
        0.708532,
        0.7437,
        0.643288,
        0.681431,
        0.710052,
        0.646026,
        0.818833,
        0.825335,
        0.750868,
        0.79669,
        0.940893,
        0.644317,
        0.74653,
        0.672513,
        0.833103,
        1.06811,
        0.886998,
        0.650016,
        0.917072,
        0.847066,
        0.676082,
        0.77534,
        0.743984,
        0.787428,
        0.836286,
        0.655358,
        0.847081,
        0.822011,
        0.794432,
        0.608586,
        0.662848,
        0.862575,
        0.929326,
        0.894576,
        0.768558,
        0.566542,
        0.742575,
        0.643014,
        0.640717,
        0.857831,
        0.702543,
        0.677653,
        0.843647,
        0.851976,
        0.724764,
        0.805064,
        0.781309,
        0.651827,
        0.847935,
        0.695186,
        0.712985,
        0.80076,
        0.691613,
        0.651563,
        0.759587,
        0.922633,
        0.862208,
        0.772909,
        0.872152,
        0.823676,
        0.969074,
        0.775098,
        0.728053,
        0.751142,
        0.690626,
        0.811943,
        0.827544,
        0.940304,
        0.902766,
        0.8976,
        0.848443,
        0.921282,
        0.823383,
        0.761196,
        0.901672,
        0.598542,
        0.581774,
        0.790226,
        1.01274,
        0.895512,
        0.899799,
        0.703,
        0.791408,
        0.730374,
        0.785405,
        0.836744,
        0.928324,
        0.878954,
        0.754669,
        0.699307,
        0.631897,
        0.719123,
        0.800595,
        0.598076,
        0.654423,
        0.704358,
        0.837297,
        0.910547,
        0.68045,
        0.451196,
        0.655108,
        0.939943,
        0.883605,
        1.07191,
        0.834326,
        0.604641,
        0.878913,
        0.782346,
        0.796924,
        0.790545,
        0.77787,
        0.666527,
        0.617248,
        0.698152,
        0.788316,
        0.770703,
        0.749552,
        0.805653,
        0.818714,
        0.875205,
        0.82733,
        0.809605,
        0.777512,
        0.639691,
        0.86668,
        0.810344,
        0.815013,
        0.736162,
        0.597711,
        0.674879,
        0.708085,
        0.6278,
        0.751547,
        0.745548,
        0.88532,
        0.927192,
        1.02702,
        0.761989,
        0.67406,
        0.785615,
        0.979502,
        1.01571,
        0.823615,
        0.591321,
        0.893598,
        0.780412,
        0.703333,
        0.651497,
        0.823465,
        0.892362,
        0.892411,
        0.725438,
        0.848298,
        0.816354,
        0.608869,
        0.637064,
        0.737502,
        0.867292,
        0.698688,
        0.680864,
        0.803314,
        0.763283,
        0.80029,
        0.975297,
        0.895368,
        0.945649,
        0.823573,
        0.893798,
        1.02832,
        0.943548,
        0.886558,
        0.820565,
        0.979442,
        0.907846,
        0.699644,
        0.683955,
        0.718004,
        0.847401,
        0.94552,
        0.963775,
        0.814266,
        0.955382,
        0.925294,
        0.931837,
        0.931603,
        0.75367,
        0.695766,
        0.823285,
        0.808564,
        0.776469,
        0.761094,
        0.621801,
        0.611281,
        0.717696,
        0.704615,
        0.802691,
        0.807369,
        0.86296,
        0.799177,
        0.792192,
        0.710525,
        0.724973,
        0.699469,
        0.789335,
        0.715831,
        0.845042,
        0.718956,
        0.785158,
        0.670636,
        0.884367,
        0.723816,
        0.884718,
        0.709247,
        0.726415,
        0.743526,
        0.910937,
        0.761256,
        0.82963,
        0.853854,
        1.00497,
        0.786053,
        0.645031,
        0.657043,
        0.967199,
        0.896465,
        1.03059,
        0.929379,
        0.753488,
        0.938865,
        0.756081,
        0.917675,
        0.636768,
        0.704058,
        0.747092,
        0.740083,
        0.861087,
        0.676391,
        0.671149,
        0.537646,
        0.927386,
        1.01349,
        0.791265,
        1.01038,
        0.757048,
        0.931592,
        0.970328,
        0.812215,
        0.632351,
        0.907979,
        0.98479,
        0.828092,
        0.685009,
        0.615371,
        0.496974,
        0.743444,
        0.899167,
        0.971341,
        0.982527,
        0.693261,
        0.397269,
        0.401216,
        0.773262,
        0.839775,
        0.904562,
        1.13938,
        0.835087,
        0.841178,
        0.692876,
        0.565218,
        0.638328,
        0.832044,
        0.683356,
        0.776528,
        0.720186,
        0.973131,
        0.789857,
        0.804094,
        0.832296,
        0.592778,
        0.807609,
        0.72326,
        0.485056,
        0.89018,
        0.58788,
        0.842771,
        0.592078,
        0.816196,
        0.648331,
        0.759459,
        0.581061,
        0.671438,
        0.626321,
        0.95103,
        1.02356,
        0.710988,
        0.622298,
        0.734222,
        0.929715,
        0.833632,
        0.882841,
        0.965166,
        1.09829,
        0.782833,
        1.22057,
        0.735075,
        0.70893,
        0.830381,
        0.970344,
        0.996348,
        0.832277,
        0.869838,
        0.638245,
        0.721034,
        0.803453,
        0.530384,
        0.83074,
        0.968614,
        0.905906,
        0.792427,
        0.841177,
        0.677272,
        0.8288,
        1.10653,
        0.897143,
        0.455319,
        0.675368,
        0.79626,
        0.887373,
        0.694511,
        0.981089,
        0.782111,
        0.895301,
        0.953866,
        0.763568,
        0.83703,
        0.817818,
        0.524711,
        0.634555,
        0.807716,
        0.859061,
        0.348751,
        0.676423,
        0.893339,
        0.754777,
        0.962473,
        0.520921,
        0.530267,
        0.927029,
        1.05779,
        1.07597,
        0.7185,
        0.686901,
        0.745535,
        0.655508,
        0.896102,
        0.8311,
        0.799945,
        0.925762,
        1.17366,
        0.909961,
        0.720697,
        0.659121,
        0.621341,
        0.695942,
        0.912679,
        0.930471,
        0.730813,
        1.25649,
        0.952601,
        0.824501,
        0.804236,
        0.746073,
        0.6209,
        0.97302,
        0.941506,
        0.453376,
        0.558467,
        0.722037,
        0.98636,
        1.07223,
        0.851213,
        0.512708,
        0.414351,
        0.975403,
        0.978305,
        0.788613,
        0.661052,
        0.791755,
        0.980772,
        0.88799,
        1.11911,
        0.483929,
        0.946185,
        0.986661,
        1.01932,
        0.966102,
        1.15377,
        0.938646,
        0.850321,
        1.05648,
        0.885155,
        0.800785,
        0.443513,
        0.758286,
        0.797161,
        0.866951,
        1.09881,
        0.720506,
        0.651629,
        0.515566,
        0.737498,
        0.313546,
        0.379358,
        0.549868,
        0.981035,
        0.962692,
        1.0327,
        1.04362,
        0.965687,
        0.74058,
        1.05219,
        0.837027,
        1.1804,
        0.483924,
        1.2818,
        1.06499,
        0.946738,
        0.854257,
        0.858512,
        0.952865,
        1.11378,
        0.987271,
        0.958757,
        1.23701,
        1.08202,
        1.22516,
        0.435577,
        0.697749,
        0.492953,
        0.818391,
        1.23626,
        1.38335,
        1.38889,
        0.854826,
        0.601333,
        0.753208,
        0.545591,
        0.689754,
        0.788253,
        0.607144,
        0.542555,
        0.910181,
        0.676197,
        0.636469,
        1.06635,
        1.2181,
        1.06738,
        1.24693,
        0.634511,
        0.798844,
        0.677321,
        0.596695,
        0.753185,
        0.756008,
        0.650258,
        0.837429,
        0.652241,
        0.593723,
        0.71113,
        0.679983,
        0.735624,
        1.05698,
        0.952054,
        1.17842,
        1.28251,
        0.552845,
        0.871666,
        1.07477,
        1.02556,
        0.728225,
        0.84831,
        1.05133,
        1.15774,
        1.36077,
        1.32698,
        0.903016,
        1.99358,
        2.06312,
        1.03398,
        1.06489,
        1.58769,
        2.1561,
        2.00457,
        2.07065,
        5.58544,
        null,
        5.54729,
        5.00513,
        6.46162,
        2.78213,
        3.4091,
        3.81352,
        5.01338,
        2.12855,
        4.73148,
        3.5912,
        2.10169,
        3.23315,
        3.13645,
        2.36817,
        4.29485,
        4.08366,
        7.64725,
        16.252,
        4.42643,
        2.04133,
        2.06564,
        1.76258,
        1.23467,
        2.17989,
        1.99449,
        1.97129,
        1.30909,
        1.28091,
        0.806347,
        1.17576,
        1.28221,
        1.89362,
        0.972152,
        0.992465,
        0.731347,
        1.13965,
        0.895998,
        1.40401,
        1.06827,
        0.837017,
        0.570171,
        0.725295,
        1.4982,
        0.646076,
        0.960877,
        0.919524,
        0.594665,
        1.26524,
        1.35506,
        0.903317,
        0.818463,
        0.977043,
        0.699061,
        0.625837,
        0.562609,
        0.881901,
        0.482328,
        0.631123,
        1.07243,
        0.803334,
        null,
        0.637702,
        0.760636,
        0.987205,
        1.10106,
        0.945857,
        0.810601,
        0.799294,
        0.740492,
        0.717949,
        0.71999,
        0.785889,
        0.966153,
        0.832985,
        0.666494,
        0.740356,
        0.633029,
        0.76127,
        0.983968,
        0.980987,
        0.965148,
        0.636151,
        0.718295,
        0.951806,
        0.711391,
        0.73887,
        0.580927,
        0.676867,
        0.868491,
        0.866001,
        0.846135,
        0.710547,
        0.916052,
        0.950819,
        0.891029,
        1.02713,
        0.817077,
        0.66702,
        0.697267,
        0.570406,
        0.809676,
        0.918788,
        0.867231,
        1.01957,
        0.900689,
        0.662395,
        0.786485,
        0.913806,
        0.876269,
        0.754711,
        0.986393,
        0.740468,
        0.923876,
        0.779473,
        0.851502,
        0.759766,
        0.951801,
        0.565878,
        0.526916,
        0.708443,
        1.18243,
        0.629018,
        0.759531,
        0.635128,
        0.523971,
        0.954146,
        0.835039,
        0.750264,
        0.907608,
        0.655887,
        0.484453,
        0.379742,
        0.504809,
        0.919646,
        0.888557,
        0.805569,
        0.941198,
        0.879501,
        0.831846,
        0.625734,
        0.803465,
        0.795639,
        0.542439,
        0.63332,
        0.671294,
        0.755858,
        0.845484,
        0.831724,
        0.874778,
        0.730015,
        0.439728,
        0.82429,
        0.891523,
        1.1084,
        0.904216,
        0.645884,
        1.25265,
        0.798703,
        0.684596,
        1.13248,
        0.645527,
        0.967465,
        0.732945,
        0.563832,
        0.982211,
        1.04021,
        0.978713,
        0.761329,
        1.10654,
        1.37345,
        1.39882,
        0.963888,
        0.66794,
        1.00933,
        0.964086,
        1.52344,
        0.834142,
        1.24861,
        2.16365,
        1.34401,
        1.12597,
        1.62488,
        2.53018,
        1.59018,
        1.60214,
        2.2314,
        16.5789,
        6.2016,
        4.48352,
        1.48534,
        1.19269,
        1.10515,
        0.799125,
        1.04555,
        0.613761,
        0.814513,
        0.506794,
        0.639,
        0.587334,
        0.603501,
        0.468478,
        0.817846,
        0.569394,
        0.975298,
        0.815298,
        0.84188,
        1.08334,
        1.0823,
        0.835206,
        1.18156,
        1.0135,
        0.604513,
        1.19372,
        1.05947,
        0.715917,
        0.785202,
        1.29463,
        0.703857,
        0.52033,
        0.693001,
        1.17516,
        0.890734,
        0.782684,
        0.721814,
        0.818546,
        0.800578,
        0.539182,
        0.741776,
        1.14322,
        0.887616,
        1.06249,
        0.884667,
        0.86961,
        0.648116,
        0.966585,
        1.02507,
        0.618295,
        0.976822,
        1.0162,
        0.821096,
        0.902339,
        1.02368,
        1.00762,
        0.827944,
        0.559196,
        0.434134,
        0.775552,
        0.735905,
        0.688952,
        0.470254,
        0.442379,
        0.617543,
        0.721093,
        0.515612,
        0.869736,
        0.691745,
        0.840021,
        0.832779,
        0.983144,
        1.00366,
        0.984562,
        0.70459,
        0.866266,
        0.681628,
        0.799685,
        0.775152,
        1.03347,
        0.859956,
        0.758852,
        0.864786,
        0.831763,
        0.677613,
        0.718455,
        0.714999,
        0.86062,
        0.796907,
        0.735671,
        0.918775,
        0.684805,
        0.705516,
        0.898886,
        0.873379,
        0.882897,
        0.78862,
        0.599911,
        0.923118,
        0.723359,
        0.569326,
        0.677282,
        0.76524,
        0.871762,
        0.85702,
        0.89764,
        1.02389,
        0.922155,
        0.82696,
        0.873759,
        0.830748,
        0.928489,
        0.697595,
        0.825591,
        0.791113,
        0.743303,
        0.570393,
        0.696345,
        0.809978,
        0.851742,
        0.804106,
        0.858818,
        0.826517,
        0.92269,
        0.810629,
        0.779407,
        0.811707,
        0.739162,
        0.664148,
        0.860344,
        1.01889,
        0.823006,
        0.814869,
        0.733028,
        0.833483,
        0.749231,
        0.565029,
        0.691549,
        0.764444,
        0.78402,
        0.792572,
        0.567151,
        0.710719,
        0.315963,
        0.832165,
        0.733564,
        1.09517,
        0.822412,
        0.943837,
        0.932849,
        0.730162,
        0.980295,
        1.10537,
        0.894327,
        0.838674,
        0.658698,
        1.03029,
        0.646687,
        0.616049,
        0.745072,
        0.873105,
        0.825051,
        0.966575,
        1.0673,
        0.882769,
        0.81029,
        0.921862,
        0.75317,
        0.958913,
        0.801085,
        0.885208,
        1.09869,
        0.877802,
        0.645595,
        0.653707,
        0.814178,
        0.702194,
        0.71766,
        0.639424,
        0.725836,
        0.790857,
        0.830714,
        0.77651,
        0.820441,
        0.842495,
        0.722297,
        0.844716,
        0.932773,
        0.988862,
        0.768646,
        0.761669,
        0.867295,
        0.644484,
        0.625095,
        0.796233,
        0.844849,
        0.781854,
        0.911516,
        0.727642,
        0.705587,
        0.864576,
        0.887062,
        0.872298,
        1.03207,
        0.861538,
        0.845734,
        0.656143,
        0.714284,
        0.888227,
        1.0252,
        0.979673,
        0.879241,
        0.841636,
        0.771066,
        0.87759,
        0.989009,
        0.835264,
        0.612046,
        0.754448,
        1.01263,
        0.868655,
        0.883693,
        0.901263,
        0.683493,
        0.738078,
        0.618002,
        0.723698,
        0.598542,
        0.767307,
        0.768111,
        0.759396,
        0.681566,
        1.00063,
        0.806962,
        0.785779,
        0.883228,
        0.804971,
        0.668197,
        0.659077,
        0.769032,
        0.845776,
        0.788745,
        0.931476,
        1.01299,
        0.883262,
        0.912561,
        0.980553,
        0.966302,
        0.756294,
        0.857674,
        0.713454,
        0.698872,
        0.899328,
        0.719086,
        0.863632,
        0.891135,
        0.645416,
        0.882538,
        1.19302,
        0.865015,
        0.948517,
        0.95641,
        0.840902,
        0.957616,
        0.922382,
        0.855564,
        0.752215,
        1.01172,
        0.948777,
        0.869181,
        0.840597,
        1.03845,
        0.918434,
        0.863803,
        0.816448,
        1.01178,
        1.01211,
        0.90662,
        1.01819,
        0.879682,
        0.810857,
        0.825415,
        0.966948,
        0.982496,
        0.997204,
        0.867173,
        0.778898,
        0.866415,
        0.985735,
        0.947542,
        0.760879,
        0.762871,
        1.12222,
        0.796789,
        0.879094,
        0.970904,
        0.995942,
        0.92138,
        0.917012,
        0.738564,
        0.844196,
        0.734414,
        0.665369,
        0.538194,
        0.759927,
        0.73736,
        0.561328,
        0.654737,
        0.831999,
        0.611854,
        0.618193,
        0.938506,
        0.944185,
        0.844224,
        0.737741,
        0.965691,
        0.862338,
        0.575397,
        0.844583,
        0.703843,
        0.583493,
        0.990499,
        0.888212,
        0.705588,
        0.783324,
        0.849273,
        0.882561,
        0.658646,
        0.701193,
        0.798252,
        0.729697,
        0.859179,
        0.760822,
        0.698564,
        0.708485,
        0.893802,
        0.965169,
        1.00609,
        0.824395,
        0.776859,
        0.996895,
        1.03245,
        0.734839,
        0.623463,
        0.98953,
        1.00599,
        1.16973,
        0.936875,
        0.791763,
        0.583499,
        0.983241,
        0.817607,
        0.621855,
        0.908649,
        1.01358,
        0.84929,
        0.750762,
        0.819506,
        0.824911,
        1.03222,
        0.756456,
        0.662773,
        0.993123,
        0.879163,
        0.704735,
        1.02741,
        1.05798,
        1.1445,
        0.883883,
        0.999935,
        0.879656,
        0.908312,
        1.42932,
        1.47382,
        1.84501,
        2.0757,
        3.26106,
        0.736547,
        1.02719,
        0.808834,
        0.937593,
        0.967464,
        0.815438,
        0.886005,
        0.906436,
        0.835356,
        0.398468,
        0.540135,
        0.659049,
        0.630394,
        0.736657,
        0.82645,
        0.842839,
        0.931121,
        0.920781,
        0.903873,
        0.794053,
        0.550791,
        0.430309,
        0.532789,
        0.691656,
        0.771293,
        0.808713,
        0.894072,
        0.908271,
        0.695061,
        0.764136,
        0.727385,
        0.720788,
        0.976508,
        0.990595,
        0.735941,
        0.656791,
        0.77192,
        0.907559,
        0.728602,
        1.06963,
        1.09835,
        1.0143,
        0.938532,
        0.871121,
        0.973572,
        0.954925,
        0.800926,
        0.988821,
        0.698843,
        0.941953,
        1.08153,
        0.594102,
        0.607288,
        0.807185,
        1.13635,
        1.04957,
        0.856448,
        0.972941,
        0.728735,
        0.885881,
        0.557183,
        0.69109,
        0.934542,
        0.83236,
        0.973747,
        0.990577,
        1.34806,
        1.35754,
        1.34479,
        0.523442,
        1.84165,
        1.59598,
        1.11715,
        0.978018,
        0.969243,
        1.08217,
        0.900352,
        0.518771,
        0.765384,
        0.68364,
        0.821942,
        0.891882,
        0.680404,
        0.779455,
        1.06513,
        0.904967,
        0.725925,
        1.09679,
        0.822766,
        0.608304,
        0.830453,
        1.04699,
        1.01629,
        1.02023,
        0.759588,
        0.988297,
        0.895687,
        0.818969,
        0.969274,
        0.868844,
        0.860329,
        0.996947,
        0.959112,
        0.949711,
        0.783557,
        0.814543,
        0.847444,
        1.02381,
        1.01979,
        1.1342,
        1.06304,
        0.740565,
        0.654581,
        0.991639,
        1.06997,
        0.932214,
        0.889081,
        0.762133,
        0.669162,
        0.868682,
        0.716643,
        0.773984,
        0.945255,
        0.888765,
        0.917592,
        0.999991,
        0.961361,
        0.91891,
        0.967557,
        1.15454,
        0.694052,
        0.539599,
        0.914562,
        0.941792,
        0.497629,
        0.619896,
        0.676814,
        0.749269,
        0.834181,
        0.824703,
        0.979611,
        0.797778,
        0.736277,
        0.508698,
        0.598524,
        0.95031,
        0.820298,
        0.582749,
        0.982487,
        0.840045,
        1.28054,
        1.73435,
        2.54823,
        7.74774,
        18.5227,
        40.6303,
        1.72877,
        1.87897,
        1.67086,
        1.49287,
        1.20141,
        1.34927,
        1.2494,
        1.13186,
        1.24452,
        0.847683,
        0.63106,
        1.02136,
        0.664154,
        0.812616,
        0.694357,
        0.482125,
        1.29707,
        0.949705,
        0.484506,
        1.05689,
        1.08899,
        0.804764,
        0.882639,
        0.911963,
        0.685933,
        0.355454,
        0.587886,
        0.596777,
        1.1225,
        0.82267,
        0.663806,
        0.771384,
        0.973955,
        0.846394,
        0.604062,
        0.803988,
        0.764964,
        0.634552,
        0.920106,
        1.08564,
        0.959954,
        1.04911,
        0.863906,
        0.713806,
        0.803261,
        1.18947,
        0.855761,
        0.89194,
        0.946381,
        1.14256,
        0.955657,
        0.820255,
        0.624219,
        0.952909,
        0.727861,
        0.758161,
        0.524234,
        0.962959,
        0.985872,
        1.23984,
        0.947693,
        0.757339,
        0.423013,
        0.607044,
        0.780014,
        0.759967,
        0.817016,
        0.395838,
        0.702187,
        0.763889,
        0.944956,
        0.533411,
        0.963646,
        0.872735,
        0.982332,
        1.0423,
        1.35012,
        1.54529,
        1.43806,
        0.697234,
        0.808654,
        1.11252,
        0.893798,
        0.92591,
        1.15576,
        0.483551,
        0.603796,
        0.857795,
        0.817227,
        0.741761,
        0.716369,
        1.35358,
        0.787325,
        0.996766,
        1.01153,
        1.34897,
        1.05973,
        0.805963,
        1.20163,
        1.57259,
        2.28293,
        1.88952,
        1.98251,
        4.30071,
        2.27792,
        5.673,
        22.2446,
        1.54732,
        1.6979,
        2.28289,
        1.14998,
        1.10038,
        1.27642,
        0.796151,
        1.05054,
        0.908984,
        0.736751,
        0.581461,
        0.866462,
        0.714211,
        1.19247,
        1.38857,
        0.961036,
        0.552381,
        0.7763,
        0.952763,
        0.655128,
        0.829078,
        0.896075,
        0.879659,
        1.11018,
        1.0238,
        0.900753,
        0.72704,
        1.07471,
        1.26197,
        1.18039,
        0.842553,
        1.0267,
        1.20333,
        0.679405,
        0.648771,
        0.850762,
        1.13661,
        0.776035,
        0.515066,
        0.593669,
        0.899902,
        0.928698,
        1.11696,
        1.13051,
        1.10468,
        1.09248,
        1.18453,
        0.973147,
        0.932912,
        1.10127,
        0.902056,
        0.981833,
        1.17968,
        1.083,
        0.716616,
        0.947092,
        0.995567,
        0.797757,
        0.871121,
        0.795321,
        0.738746,
        0.936714,
        0.793976,
        0.65867,
        0.723162,
        0.938613,
        0.847359,
        0.638702,
        0.570078,
        0.820358,
        0.900696,
        0.901314,
        0.60111,
        0.77824,
        0.90992,
        1.07449,
        1.17612,
        0.987737,
        0.883882,
        1.18664,
        0.898343,
        0.857216,
        0.853084,
        0.941619,
        0.65769,
        0.633261,
        0.726535,
        0.749323,
        0.681029,
        0.762417,
        0.630057,
        0.888649,
        0.885964,
        1.03892,
        0.775004,
        0.832038,
        1.08849,
        0.925492,
        0.999309,
        0.841502,
        0.768863,
        0.738198,
        0.79331,
        0.970522,
        0.565522,
        0.726918,
        0.863277,
        0.989982,
        0.731898,
        0.646488,
        0.558737,
        0.660262,
        0.811514,
        1.01026,
        0.883077,
        1.00092,
        0.867895,
        0.524831,
        0.465076,
        0.933206,
        0.678996,
        0.934619,
        0.736641,
        0.895722,
        0.744532,
        0.762872,
        0.873303,
        0.984897,
        0.452875,
        0.736087,
        0.679328,
        0.890478,
        0.984018,
        0.732237,
        0.784097,
        0.931273,
        0.781188,
        0.933128,
        0.748678,
        0.889988,
        1.10146,
        0.841442,
        0.704263,
        0.806137,
        0.77029,
        0.667656,
        0.844549,
        0.619315,
        0.808127,
        1.05291,
        0.935212,
        0.705965,
        0.668315,
        0.875571,
        0.762582,
        0.825903,
        0.944469,
        1.05679,
        0.81997,
        0.799566,
        0.801606,
        0.827913,
        0.951071,
        0.920033,
        0.920086,
        0.791146,
        0.91159,
        0.923047,
        0.808442,
        0.771079,
        0.651317,
        0.689343,
        0.867856,
        0.945719,
        1.06338,
        1.01969,
        1.03811,
        1.01568,
        0.872845,
        0.842991,
        0.858112,
        0.823391,
        0.770138,
        0.901593,
        1.03497,
        1.04227,
        0.936819,
        0.709901,
        0.681748,
        0.814482,
        0.926704,
        0.883787,
        0.796773,
        0.822677,
        1.03166,
        0.862568,
        0.808978,
        0.89684,
        0.664665,
        0.724496,
        0.862422,
        0.704478,
        0.617084,
        0.509885,
        0.757011,
        0.771409,
        0.798229,
        0.845849,
        0.718466,
        0.983374,
        0.968077,
        1.03285,
        1.00663,
        0.797717,
        0.786354,
        0.84537,
        0.78999,
        0.803811,
        0.958875,
        0.871407,
        0.760201,
        0.629176,
        0.772699,
        0.938662,
        0.786654,
        0.78604,
        0.867641,
        0.788522,
        0.926137,
        0.905402,
        0.946325,
        0.82442,
        1.28176,
        0.992611,
        0.951261,
        0.86926,
        0.747943,
        0.87336,
        1.01095,
        0.701734,
        0.694549,
        0.691501,
        0.840326,
        0.96193,
        0.896266,
        0.78893,
        0.952145,
        1.01375,
        1.00771,
        1.01152,
        0.758631,
        0.885561,
        0.699595,
        0.822556,
        0.648733,
        0.811929,
        0.89376,
        0.778461,
        0.786762,
        0.748403,
        0.560297,
        0.49741,
        0.831377,
        0.931592,
        0.860294,
        0.829684,
        0.736937,
        0.76018,
        0.636011,
        0.604552,
        0.719865,
        0.797427,
        0.510459,
        0.67336,
        0.702811,
        0.991714,
        0.997086,
        1.01016,
        0.850795,
        0.921555,
        1.01941,
        0.835107,
        0.944662,
        0.838023,
        0.7655,
        0.963257,
        1.05216,
        0.834963,
        0.902057,
        0.833185,
        0.911842,
        0.821754,
        0.906751,
        0.871207,
        0.665165,
        0.907758,
        0.812186,
        0.691716,
        0.772629,
        0.884365,
        1.05949,
        0.894599,
        0.851904,
        0.721935,
        0.810464,
        1.03922,
        0.762922,
        0.874082,
        0.590404,
        0.593723,
        0.729045,
        0.782259,
        0.827655,
        1.08401,
        0.842748,
        0.735486,
        0.91358,
        0.742949,
        0.872584,
        0.74818,
        0.785845,
        0.753017,
        0.791788,
        0.702089,
        0.936795,
        0.855234,
        0.790215,
        0.99373,
        0.877164,
        0.72992,
        0.646766,
        0.851327,
        0.741094,
        0.84207,
        0.904735,
        0.875348,
        0.819435,
        0.705775,
        0.770836,
        0.927861,
        0.610348,
        0.941191,
        0.896958,
        0.807223,
        0.672846,
        0.768533,
        0.804091,
        0.519586,
        0.67818,
        0.667691,
        0.924376,
        0.85118,
        0.696298,
        0.70514,
        0.836502,
        0.696249,
        0.689469,
        0.75944,
        0.998414,
        0.88092,
        0.928076,
        0.666359,
        0.599383,
        0.717603,
        1.06226,
        0.991007,
        0.844293,
        0.732569,
        0.668562,
        0.655774,
        0.76529,
        0.795579,
        0.750911,
        0.832127,
        0.874927,
        1.12501,
        1.04354,
        1.07325,
        0.909713,
        0.701918,
        0.799795,
        1.06156,
        1.01678,
        0.924034,
        0.720733,
        1.04295,
        0.820049,
        0.672916,
        0.825141,
        0.782306,
        0.821912,
        0.874378,
        0.848767,
        0.73268,
        0.885134,
        0.959464,
        0.577424,
        0.996011,
        1.15556,
        0.818368,
        0.560324,
        0.660315,
        1.00482,
        1.05756,
        0.874244,
        0.641538,
        0.87828,
        0.729849,
        0.806971,
        0.723665,
        0.600085,
        0.780567,
        0.946132,
        0.805884,
        0.730252,
        0.782232,
        0.831116,
        0.884783,
        0.508511,
        0.65013,
        0.972232,
        0.723986,
        0.932772,
        1.07884,
        0.914875,
        1.26835,
        0.656935,
        0.400581,
        0.56547,
        0.626122,
        0.553787,
        0.57733,
        1.00325,
        0.846726,
        0.906631,
        0.528718,
        0.526448,
        0.821603,
        0.819402,
        1.33565,
        1.21909,
        0.990998,
        0.910858,
        1.23037,
        0.883378,
        1.31115,
        2.534,
        1.39236,
        1.09674,
        1.11739,
        1.06856,
        0.896244,
        0.872971,
        0.858774,
        0.556153,
        0.848604,
        1.0044,
        0.667778,
        0.864509,
        0.915989,
        0.85702,
        0.479379,
        0.760954,
        0.657202,
        0.903816,
        1.13314,
        0.892067,
        0.758753,
        0.897147,
        0.932658,
        0.893606,
        1.03393,
        1.13858,
        0.93931,
        0.738854,
        0.840967,
        0.590689,
        0.920372,
        0.904057,
        1.11942,
        0.761036,
        0.847517,
        0.892055,
        0.876908,
        0.70937,
        0.581256,
        0.467217,
        0.924824,
        0.816112,
        0.763258,
        1.09508,
        0.947249,
        0.77686,
        0.691015,
        0.726278,
        0.769599,
        0.69927,
        0.860353,
        0.924469,
        1.00229,
        0.814357,
        0.637512,
        0.809267,
        0.757518,
        0.709465,
        0.597899,
        0.487818,
        0.780227,
        0.831103,
        0.938777,
        0.685588,
        0.886955,
        0.779503,
        1.00716,
        1.07193,
        0.831808,
        0.695064,
        0.775856,
        1.07002,
        0.951263,
        0.741275,
        0.548316,
        0.741833,
        0.838208,
        0.63947,
        0.557379,
        0.55967,
        0.878458,
        1.21514,
        1.1421,
        0.657976,
        0.615383,
        0.550675,
        0.659406,
        0.690921,
        0.680254,
        0.709017,
        0.901232,
        0.498177,
        0.635493,
        0.682606,
        0.962097,
        0.848271,
        0.901825,
        1.00436,
        0.553455,
        1.06276,
        1.10573,
        0.808948,
        0.651924,
        0.632397,
        1.01958,
        0.936314,
        0.972781,
        0.880837,
        0.487151,
        0.551658,
        0.765501,
        0.890605,
        1.22063,
        1.04293,
        0.884141,
        0.70146,
        0.910616,
        1.09235,
        1.15161,
        0.783721,
        0.560639,
        0.880217,
        0.609614,
        0.752878,
        1.00793,
        0.690168,
        0.883996,
        0.844094,
        0.513612,
        0.754667,
        0.413975,
        0.475277,
        1.26214,
        0.932764,
        0.49312,
        0.51694,
        0.8349,
        0.675355,
        0.872055,
        0.678347,
        0.888512,
        0.985943,
        0.624146,
        1.0172,
        1.04955,
        0.647526,
        0.656877,
        0.675766,
        0.845788,
        1.16581,
        0.875324,
        0.804871,
        1.0185,
        1.12437,
        0.972171,
        1.22423,
        1.1375,
        0.774929,
        0.81319,
        1.01539,
        0.872473,
        0.822326,
        0.917507,
        1.0887,
        1.04732,
        0.97311,
        1.00017,
        1.04134,
        0.818621,
        0.77688,
        0.98911,
        0.889642,
        0.636971,
        0.901791,
        0.94694,
        1.06782,
        1.05539,
        0.838999,
        0.773691,
        0.725423,
        1.08719,
        0.789161,
        0.596864,
        0.687224,
        0.64437,
        0.786193,
        0.921199,
        0.897494,
        1.11745,
        0.722653,
        0.567519,
        0.903027,
        0.763221,
        1.07204,
        0.945056,
        0.665074,
        0.941052,
        0.810864,
        0.711817,
        0.557663,
        0.595851,
        0.963022,
        1.0271,
        0.89892,
        1.00796,
        0.839892,
        0.718625,
        0.750632,
        0.575288,
        0.710798,
        0.998959,
        1.04775,
        0.791643,
        0.609239,
        0.822488,
        0.592134,
        0.778579,
        0.758684,
        1.10315,
        0.95522,
        1.02815,
        1.27314,
        0.9399,
        1.42213,
        1.50405,
        0.680889,
        0.600479,
        1.59392,
        1.18344,
        1.4513,
        1.26607,
        2.38952,
        1.90964,
        6.7313,
        5.91558,
        3.13189,
        2.00616,
        1.10381,
        1.24039,
        1.04694,
        0.731501,
        0.70006,
        1.17476,
        1.01234,
        0.866003,
        1.08425,
        0.901327,
        1.1571,
        0.947272,
        1.04881,
        0.989463,
        1.35012,
        1.26908,
        0.738005,
        1.03143,
        1.08417,
        1.01581,
        1.30597,
        0.727586,
        0.907153,
        0.870399,
        0.845463,
        0.860114,
        0.964767,
        1.12086,
        1.08071,
        0.734675,
        0.961641,
        0.826115,
        0.869334,
        0.872703,
        0.992697,
        0.893424,
        0.894364,
        0.542119,
        0.762229,
        0.555774,
        0.584314,
        0.686176,
        0.820333,
        0.950407,
        0.69146,
        0.993752,
        0.829218,
        0.636501,
        0.591685,
        1.03433,
        0.980056,
        0.816292,
        0.832601,
        0.977083,
        1.06159,
        0.761058,
        0.857065,
        0.851116,
        0.798656,
        0.938032,
        0.818259,
        0.905008,
        0.729601,
        0.661827,
        0.540958,
        0.975403,
        1.36815,
        1.25399,
        1.15778,
        0.829313,
        0.938181,
        1.04658,
        1.00445,
        0.807637,
        1.2398,
        1.25819,
        1.22523,
        1.1716,
        1.04504,
        0.828372,
        0.897544,
        1.04418,
        0.985983,
        0.975174,
        1.11178,
        0.792856,
        0.800795,
        0.873178,
        0.866962,
        0.913191,
        1.25429,
        1.16294,
        1.37207,
        1.08198,
        0.757115,
        0.625265,
        0.994027,
        0.626765,
        0.927176,
        0.967536,
        0.793527,
        0.797245,
        0.978764,
        0.98195,
        0.953498,
        1.05808,
        1.30982,
        1.35582,
        1.18124,
        0.800054,
        0.954987,
        1.05125,
        0.944743,
        1.20757,
        0.629931,
        0.769345,
        0.927334,
        1.24676,
        1.22711,
        0.952849,
        0.864026,
        0.888467,
        0.859224,
        0.986726,
        1.03644,
        0.822889,
        0.757001,
        0.748793,
        0.889974,
        1.01375,
        1.05519,
        1.10604,
        0.957525,
        0.794567,
        0.95799,
        1.05523,
        0.990886,
        0.590533,
        0.954195,
        0.805945,
        0.628341,
        0.787353,
        0.969874,
        1.1645,
        0.986077,
        0.96137,
        0.849909,
        1.1816,
        1.00356,
        0.904295,
        1.03059,
        0.805099,
        0.787371,
        0.738063,
        1.05536,
        0.967,
        0.664507,
        1.4848,
        1.2812,
        1.20969,
        1.15648,
        0.856169,
        0.874087,
        0.453879,
        0.574166,
        0.797996,
        0.948184,
        0.99622,
        0.91993,
        0.6692,
        0.702619,
        1.0081,
        0.463763,
        0.791567,
        0.75184,
        0.728522,
        0.985634,
        0.96028,
        1.25542,
        0.88918,
        0.739973,
        1.17225,
        0.795991,
        0.450005,
        0.568931,
        0.632947,
        0.524709,
        0.796479,
        0.742966,
        0.881671,
        1.38921,
        1.07625,
        0.714921,
        1.16476,
        1.09146,
        0.747471,
        0.861555,
        0.944021,
        0.849537,
        0.89143,
        1.16734,
        1.03951,
        0.628758,
        0.715824,
        0.931848,
        0.912399,
        0.984178,
        0.586429,
        0.348297,
        0.358293,
        0.691571,
        0.898699,
        0.658275,
        0.579927,
        1.14765,
        1.20733,
        0.654425,
        0.828108,
        0.871565,
        0.869497,
        1.06069,
        0.900533,
        1.30851,
        1.07144,
        1.15901,
        0.742949,
        0.750965,
        0.566486,
        1.16182,
        1.55509,
        1.31725,
        1.03549,
        1.15055,
        0.792359,
        0.77544,
        1.70166,
        1.30495,
        1.23161,
        0.631646,
        0.757958,
        0.54528,
        1.37896,
        0.953672,
        0.485943,
        0.976926,
        1.34514,
        1.12095,
        0.661642,
        1.23376,
        1.31298,
        0.948478,
        1.05487,
        0.763195,
        1.04642,
        0.809139,
        0.887872,
        0.939859,
        0.924639,
        0.821463,
        0.943651,
        1.12949,
        0.826914,
        0.554997,
        1.35326,
        0.881814,
        0.73336,
        1.21288,
        0.837705,
        1.34876,
        1.49579,
        1.09063,
        1.18936,
        0.907807,
        0.905829,
        1.57599,
        0.803428,
        0.751736,
        1.22324,
        0.78608,
        0.747529,
        0.795004,
        0.857814,
        0.692495,
        1.12275,
        1.44563,
        0.809657,
        1.01658,
        1.69369,
        1.33496,
        1.09106,
        1.79487,
        1.68393,
        1.13712,
        1.4722,
        1.33493,
        1.28798,
        1.74595,
        1.95913,
        2.72199,
        1.70681,
        1.98312,
        3.20063,
        null,
        39.2915,
        24.2353,
        3.65266,
        2.17174,
        2.54356,
        1.42218,
        1.10132,
        1.26096,
        0.931543,
        1.26268,
        1.4915,
        1.60873,
        1.43954,
        1.16539,
        1.29092,
        1.71142,
        0.92327,
        1.22517,
        1.17085,
        1.202,
        2.16869,
        1.42708,
        1.25277,
        1.04817,
        0.908856,
        1.06785,
        0.690142,
        1.51149,
        2.02066,
        1.37547,
        0.7037,
        0.729988,
        1.17624,
        1.39458,
        0.904484,
        1.0425,
        0.698206,
        1.34711,
        1.60611,
        0.863803,
        0.623637,
        0.833316,
        0.58691,
        0.668114,
        0.723614,
        1.18621,
        0.71584,
        0.692943,
        0.959385,
        0.682577,
        0.860295,
        0.8322,
        0.897269,
        1.11912,
        0.542418,
        0.640551,
        0.503458,
        0.452395,
        0.74993,
        0.987866,
        0.842506,
        0.643372,
        0.747431,
        0.8897,
        1.02661,
        0.696897,
        0.734276,
        1.14345,
        1.70689,
        1.48785,
        1.30981,
        1.00416,
        0.815433,
        0.592402,
        0.492203,
        0.74286,
        0.821405,
        0.756826,
        1.21457,
        0.853602,
        1.01493,
        1.19782,
        0.794179,
        0.771939,
        0.766376,
        0.497263,
        0.701286,
        0.804272,
        0.723067,
        0.543872,
        0.595071,
        0.370992,
        0.813252,
        1.05679,
        0.96831,
        0.934657,
        1.31698,
        1.0485,
        0.751668,
        1.19882,
        0.730898,
        0.500873,
        0.764292,
        0.895619,
        0.730727,
        0.641687,
        1.07321,
        0.780315,
        1.11932,
        1.14234,
        1.17236,
        0.846123,
        1.09651,
        0.936514,
        0.888563,
        0.533525,
        0.81759,
        0.725157,
        0.642346,
        0.85587,
        1.10672,
        0.601479,
        0.723824,
        1.2616,
        0.983292,
        0.934191,
        0.802425,
        0.737455,
        0.799924,
        0.889832,
        0.721188,
        1.16019,
        0.809937,
        0.526904,
        0.756026,
        0.96938,
        0.761907,
        0.821089,
        0.782009,
        0.716626,
        0.779817,
        0.984491,
        0.862277,
        0.816534,
        0.975943,
        0.73336,
        0.584914,
        0.51546,
        0.67859,
        0.954287,
        0.811125,
        0.961476,
        1.12798,
        0.988824,
        0.906433,
        0.737403,
        0.768666,
        0.892229,
        0.599584,
        0.503458,
        0.668722,
        0.792804,
        0.809183,
        0.64303,
        0.699714,
        0.851738,
        0.686562,
        0.53495,
        0.677424,
        0.822536,
        0.618814,
        0.43635,
        0.878459,
        0.791836,
        0.432098,
        0.712957,
        0.686343,
        0.620505,
        0.500567,
        0.638678,
        0.875494,
        0.969984,
        0.927041,
        0.808458,
        0.78942,
        0.850818,
        1.2066,
        1.15668,
        0.851473,
        0.78171,
        0.674222,
        0.788016,
        0.690991,
        0.28102,
        0.421485,
        0.757706,
        0.673953,
        0.519687,
        0.518634,
        0.829239,
        0.621201,
        0.751611,
        0.743754,
        0.798977,
        0.715939,
        0.770168,
        0.916512,
        0.828185,
        0.675058,
        1.00275,
        1.22577,
        0.995608,
        0.717527,
        0.98366,
        0.831936,
        1.06592,
        0.93699,
        0.696467,
        0.662974,
        0.517216,
        0.574615,
        0.845526,
        0.84884,
        0.700005,
        0.797467,
        1.06448,
        0.661201,
        0.918641,
        1.07511,
        0.838472,
        1.07582,
        1.02141,
        0.969721,
        0.669496,
        0.568302,
        1.25396,
        0.727328,
        1.29976,
        0.763681,
        1.02834,
        1.17647,
        1.08755,
        1.18257,
        0.822976,
        1.26378,
        1.34507,
        0.864617,
        0.460386,
        0.640518,
        1.15983,
        1.29755,
        1.24207,
        0.825996,
        0.829081,
        0.519943,
        0.994189,
        0.99132,
        0.93371,
        1.15692,
        0.811689,
        0.747763,
        0.968486,
        1.14487,
        0.896866,
        1.01098,
        0.914249,
        0.570212,
        0.686505,
        0.587663,
        0.734553,
        0.767264,
        0.999178,
        0.925509,
        0.627341,
        0.73993,
        0.840227,
        0.89518,
        0.779258,
        0.821634,
        0.74466,
        0.669875,
        0.994331,
        1.0258,
        0.798719,
        0.850289,
        1.03523,
        0.697769,
        0.529949,
        0.839298,
        0.929878,
        0.827885,
        0.816481,
        0.906705,
        0.871434,
        0.447375,
        0.752223,
        0.96244,
        1.047,
        1.09131,
        1.12833,
        1.06333,
        1.07238,
        0.89026,
        0.770597,
        0.858626,
        0.88912,
        0.812687,
        0.988175,
        1.05669,
        0.911813,
        0.903148,
        1.05869,
        1.11967,
        0.749549,
        0.89628,
        0.799511,
        0.70778,
        0.894443,
        0.866084,
        0.817597,
        0.757124,
        0.877187,
        0.867967,
        1.02926,
        0.878386,
        0.792986,
        0.935275,
        1.10247,
        0.838268,
        0.70443,
        0.821072,
        0.621024,
        0.680148,
        0.845078,
        1.05546,
        0.826987,
        0.888405,
        0.791434,
        0.737523,
        0.84127,
        0.870436,
        0.788019,
        0.810818,
        0.567536,
        0.874108,
        0.618273,
        0.840994,
        0.897668,
        0.977566,
        0.983745,
        0.827041,
        1.08685,
        0.894042,
        0.724855,
        0.852091,
        1.05358,
        1.14639,
        1.10467,
        0.793609,
        0.722021,
        0.829582,
        0.68173,
        0.725357,
        0.8023,
        0.682023,
        1.00954,
        0.95445,
        1.02724,
        1.08585,
        0.564011,
        0.84822,
        0.716023,
        1.23861,
        1.15602,
        1.27622,
        0.949536,
        0.861418,
        0.509349,
        0.612981,
        0.587719,
        0.953432,
        0.992543,
        0.752691,
        0.581071,
        0.744699,
        0.850399,
        0.69768,
        0.597429,
        0.727131,
        0.85302,
        0.959141,
        0.827724,
        0.954597,
        0.852464,
        1.07228,
        0.782258,
        1.05313,
        1.13836,
        0.612916,
        0.625157,
        0.938829,
        0.687399,
        0.721156,
        0.549086,
        0.839297,
        1.03585,
        0.849651,
        0.940596,
        0.850188,
        0.940703,
        0.889426,
        0.67293,
        0.866865,
        0.687048,
        0.848501,
        0.77033,
        0.784467,
        0.736943,
        0.740526,
        0.89754,
        0.774554,
        0.603525,
        0.789672,
        0.778011,
        0.674325,
        0.962104,
        0.663769,
        0.572238,
        0.708172,
        0.82766,
        0.779361,
        0.868798,
        0.940938,
        0.976475,
        0.987146,
        0.8478,
        1.005,
        0.742078,
        0.918118,
        0.912283,
        0.672508,
        0.867882,
        0.990463,
        0.797964,
        0.475327,
        0.795391,
        1.07387,
        0.47625,
        0.276747,
        0.591044,
        0.689528,
        0.936991,
        0.944088,
        0.751914,
        0.884959,
        0.839255,
        0.769062,
        0.9246,
        0.945912,
        0.926031,
        1.12259,
        1.31496,
        0.759828,
        0.429375,
        0.794816,
        0.46857,
        0.909507,
        1.2813,
        0.929511,
        1.2006,
        0.932493,
        1.00196,
        0.828896,
        0.671217,
        0.765844,
        0.629657,
        0.57169,
        0.932789,
        0.777875,
        0.491993,
        0.615864,
        0.967946,
        0.498349,
        0.557406,
        0.887489,
        0.651495,
        0.574947,
        1.07462,
        0.75082,
        0.996871,
        0.579473,
        0.944709,
        1.17263,
        0.674481,
        0.634971,
        0.805386,
        0.756285,
        0.642582,
        1.01027,
        0.633343,
        0.764662,
        1.12702,
        0.957031,
        0.9909,
        0.737843,
        0.776378,
        1.09756,
        1.21552,
        0.857775,
        0.816951,
        0.868299,
        0.778756,
        0.969779,
        0.947574,
        0.981605,
        0.73173,
        0.630889,
        0.658174,
        0.870586,
        0.54069,
        0.785693,
        0.975537,
        1.11092,
        0.786431,
        0.832243,
        0.778069,
        0.777453,
        0.806465,
        0.646123,
        0.797165,
        0.879987,
        0.829147,
        0.75936,
        0.82896,
        0.873847,
        0.689887,
        0.984488,
        1.15401,
        1.03633,
        0.798359,
        0.741482,
        0.81641,
        0.601126,
        0.612163,
        0.72744,
        0.582583,
        0.688826,
        0.75109,
        0.719949,
        0.917705,
        0.981134,
        0.877908,
        0.932708,
        0.943488,
        0.767888,
        0.977891,
        0.853101,
        1.08459,
        1.10338,
        0.801905,
        0.635571,
        0.894444,
        1.08745,
        0.907774,
        0.973269,
        0.968348,
        0.816353,
        0.537134,
        0.829701,
        1.02759,
        1.01069,
        1.04129,
        1.0226,
        1.08291,
        0.845366,
        0.648738,
        0.783333,
        0.497935,
        0.58509,
        0.769747,
        0.995448,
        1.04742,
        0.783037,
        0.795598,
        0.627194,
        0.804739,
        0.909465,
        0.824154,
        1.00058,
        0.888313,
        1.04502,
        0.736316,
        0.781979,
        0.492857,
        0.817599,
        0.752076,
        0.671324,
        0.642698,
        0.86339,
        0.645955,
        0.79555,
        0.936537,
        0.716588,
        1.01475,
        0.990253,
        0.802419,
        0.892781,
        0.637993,
        0.548817,
        0.679353,
        0.858098,
        0.71398,
        0.832466,
        0.931161,
        0.879332,
        0.925102,
        0.907579,
        0.723699,
        0.706115,
        0.762501,
        0.725381,
        0.737128,
        0.748973,
        0.872608,
        0.753242,
        0.710587,
        0.773589,
        0.945687,
        0.792539,
        0.398076,
        0.803121,
        1.03082,
        0.749535,
        0.943535,
        0.759785,
        0.842081,
        0.769534,
        0.722481,
        0.793872,
        0.731931,
        0.80141,
        0.939986,
        0.788931,
        0.781184,
        1.07546,
        0.882098,
        0.860596,
        0.83147,
        0.570565,
        0.541049,
        0.695092,
        1.03556,
        0.808347,
        1.08844,
        0.719859,
        0.391175,
        0.667412,
        0.759202,
        0.726482,
        0.883231,
        0.834011,
        0.624634,
        0.694829,
        0.721125,
        0.734592,
        0.684078,
        0.759361,
        0.654481,
        0.605981,
        0.787851,
        1.12939,
        0.923181,
        0.888595,
        0.728413,
        0.771843,
        0.869445,
        0.977845,
        0.983443,
        0.89583,
        0.701687,
        0.787583,
        0.831272,
        0.936552,
        0.775097,
        0.877594,
        0.853981,
        0.939024,
        0.851405,
        0.857403,
        0.665901,
        0.515556,
        0.858601,
        0.731349,
        0.398236,
        0.558493,
        1.36458,
        1.36318,
        1.4298,
        1.57109,
        0.480204,
        0.468851,
        0.888531,
        1.00814,
        1.0108,
        0.882039,
        0.647249,
        0.850966,
        0.664653,
        0.755839,
        0.780519,
        0.770303,
        0.722599,
        0.739324,
        0.879967,
        0.494945,
        0.672695,
        1.09685,
        1.01904,
        0.818971,
        0.732637,
        0.865934,
        0.883662,
        0.646275,
        0.880011,
        0.947056,
        1.00878,
        0.90346,
        0.839923,
        0.689868,
        0.61522,
        0.908491,
        0.879324,
        0.653751,
        0.872575,
        0.995349,
        0.936873,
        1.04706,
        0.873123,
        0.711073,
        0.432495,
        0.547307,
        0.398227,
        0.680644,
        0.928387,
        0.727602,
        0.713203,
        1.0609,
        1.10142,
        0.799313,
        0.524309,
        0.627684,
        0.745841,
        1.06751,
        0.829166,
        0.611553,
        0.626618,
        0.775395,
        0.905755,
        0.937443,
        0.668017,
        0.802424,
        0.829891,
        0.701383,
        0.589354,
        0.641234,
        0.659648,
        0.640859,
        0.79931,
        0.813107,
        0.911128,
        0.977732,
        0.734147,
        0.644535,
        0.803069,
        0.664723,
        1.17378,
        0.779571,
        0.807034,
        0.593418,
        0.694415,
        1.0051,
        1.00084,
        0.642015,
        0.746681,
        0.777057,
        0.813437,
        1.0779,
        0.9237,
        0.845344,
        1.01884,
        0.763798,
        0.957898,
        0.869078,
        1.01856,
        1.01443,
        0.76194,
        1.00811,
        0.96915,
        1.17271,
        1.00045,
        0.428917,
        0.597453,
        0.795327,
        0.887811,
        0.677605,
        0.525394,
        0.477131,
        0.831058,
        0.91891,
        0.841509,
        0.947079,
        0.679051,
        0.868984,
        0.544177,
        0.338117,
        0.299662,
        0.629669,
        0.786044,
        0.661983,
        0.635049,
        0.853054,
        0.674625,
        0.597124,
        0.579885,
        0.653188,
        0.523734,
        0.449289,
        0.65183,
        0.908332,
        0.828154,
        0.513277,
        0.860062,
        1.24474,
        0.523088,
        0.545979,
        0.783495,
        0.510362,
        1.14206,
        1.27484,
        0.781137,
        0.422266,
        0.461426,
        0.95543,
        0.936705,
        0.928164,
        0.55763,
        0.906282,
        0.701945,
        0.614917,
        0.570871,
        0.717303,
        0.969112,
        0.943854,
        0.731703,
        1.03579,
        1.07989,
        0.598453,
        0.521424,
        0.667705,
        1.18764,
        0.911091,
        1.26536,
        0.551654,
        0.470463,
        0.791737,
        0.624176,
        0.591738,
        0.803824,
        0.975301,
        0.551558,
        0.828233,
        0.796159,
        0.805974,
        0.649926,
        0.768186,
        0.494938,
        0.522847,
        0.689092,
        1.07818,
        0.965924,
        0.802938,
        0.781934,
        0.760672,
        0.976502,
        0.710939,
        0.992709,
        0.517489,
        0.873539,
        0.850185,
        0.786194,
        0.637651,
        1.05834,
        0.742783,
        0.706167,
        0.752305,
        0.8867,
        1.3335,
        1.00242,
        0.687006,
        1.19732,
        1.1745,
        0.810991,
        0.6688,
        0.458495,
        0.705997,
        0.766192,
        0.794561,
        0.609418,
        0.951961,
        0.629564,
        0.531021,
        0.7552,
        0.689626,
        2.14898,
        2.30566,
        1.84179,
        0.756565,
        1.82296,
        2.05084,
        0.977587,
        1.279,
        0.973542,
        0.95978,
        1.03709,
        6.0972,
        22.2632,
        4.14332,
        3.31566,
        3.02255,
        1.71466,
        1.39923,
        1.94716,
        3.10787,
        1.53599,
        1.5279,
        2.04069,
        1.90253,
        1.19719,
        1.66362,
        2.96844,
        2.16555,
        1.89167,
        1.61005,
        2.63651,
        2.61182,
        2.19563,
        1.31261,
        1.36336,
        1.80124,
        0.889129,
        0.599505,
        1.03138,
        1.06936,
        1.20791,
        0.703914,
        0.903473,
        0.860617,
        0.595127,
        0.635309,
        0.502443,
        0.933398,
        0.843541,
        1.13258,
        0.881693,
        0.733207,
        0.847805,
        0.872677,
        0.549231,
        1.14933,
        1.14711,
        1.25622,
        1.12977,
        0.668592,
        0.491071,
        1.28574,
        1.14961,
        0.882391,
        0.899378,
        0.669728,
        0.829057,
        1.00256,
        0.953982,
        1.56207,
        1.34834,
        0.871626,
        1.01436,
        0.522432,
        0.874752,
        0.448448,
        0.526675,
        0.581351,
        0.713203,
        0.535457,
        0.550997,
        0.735399,
        0.979016,
        0.455165,
        0.937013,
        0.819919,
        0.810953,
        1.04453,
        0.827267,
        0.69376,
        1.13228,
        1.35746,
        1.00879,
        0.715664,
        0.511198,
        0.763861,
        1.01413,
        0.785028,
        0.716692,
        0.857745,
        0.929086,
        0.781046,
        0.818344,
        0.702262,
        0.686212,
        0.535096,
        0.674277,
        0.773123,
        0.882967,
        0.849753,
        0.748326,
        0.791955,
        0.890062,
        0.626408,
        0.642807,
        0.589418,
        0.917184,
        0.868842,
        0.996559,
        0.938291,
        0.946998,
        0.947667,
        0.973134,
        0.865086,
        0.730979,
        1.03466,
        0.920031,
        0.812136,
        0.72428,
        0.923307,
        0.711131,
        0.471088,
        0.708209,
        0.870764,
        0.694715,
        0.721122,
        1.01259,
        0.874968,
        0.657736,
        0.748507,
        0.713255,
        0.712112,
        0.740352,
        0.427228,
        0.769567,
        0.832018,
        0.302026,
        0.407678,
        0.707882,
        0.73244,
        0.489543,
        0.695355,
        0.743125,
        0.493346,
        0.832238,
        0.86172,
        0.976781,
        0.839291,
        0.673872,
        0.659026,
        0.638025,
        0.848442,
        0.821476,
        0.818751,
        0.50883,
        0.744991,
        0.711729,
        0.59931,
        0.970292,
        0.685739,
        0.578244,
        0.91143,
        0.676183,
        0.597566,
        0.879895,
        1.02479,
        0.776948,
        0.864935,
        0.923547,
        0.737385,
        0.577602,
        0.527256,
        0.747321,
        0.707988,
        0.91196,
        0.662668,
        0.685907,
        0.61047,
        0.711732,
        0.589483,
        0.379459,
        0.457838,
        0.652313,
        0.806958,
        0.343257,
        0.795366,
        1.00567,
        0.776276,
        0.682256,
        1.06533,
        0.976814,
        0.909914,
        0.999819,
        0.648417,
        0.746398,
        0.893184,
        0.813841,
        0.703172,
        0.862917,
        0.907888,
        0.625698,
        0.78068,
        0.972774,
        0.730511,
        0.617452,
        0.993969,
        0.595035,
        0.702516,
        0.953454,
        0.750374,
        0.60951,
        0.832373,
        1.11289,
        0.647898,
        0.565499,
        0.852781,
        1.12129,
        0.707173,
        0.939098,
        1.27935,
        1.09596,
        1.14519,
        1.11368,
        0.923605,
        0.606884,
        0.783986,
        0.68365,
        0.495817,
        0.850484,
        0.561433,
        0.736644,
        0.66746,
        0.736196,
        0.723394,
        0.655526,
        0.867533,
        0.361357,
        0.674245,
        0.710218,
        1.13533,
        1.01795,
        1.21455,
        0.977374,
        1.02238,
        0.681688,
        0.762796,
        0.760336,
        1.01001,
        1.0314,
        0.813021,
        0.668713,
        0.661258,
        0.799744,
        1.09036,
        0.90376,
        0.935698,
        1.04421,
        0.920044,
        0.674819,
        0.855621,
        0.638274,
        0.862415,
        0.57265,
        0.694976,
        0.790236,
        0.833871,
        0.710395,
        0.648012,
        0.448894,
        0.852181,
        0.749294,
        0.784521,
        0.686117,
        0.852295,
        0.904247,
        1.01154,
        1.15815,
        0.785286,
        0.724406,
        0.499438,
        0.711975,
        0.756193,
        0.762502,
        0.495787,
        0.702561,
        0.919611,
        0.928139,
        0.673269,
        0.572004,
        0.876869,
        0.746459,
        0.649683,
        0.751974,
        0.610307,
        0.8104,
        1.06225,
        0.792412,
        0.713021,
        0.685921,
        0.919933,
        0.775003,
        0.823874,
        0.767385,
        0.868175,
        0.819804,
        0.570991,
        0.600433,
        0.695496,
        0.717975,
        0.848712,
        0.789175,
        0.7891,
        0.736464,
        0.774864,
        0.751975,
        0.765554,
        0.695098,
        0.875851,
        0.810687,
        0.805803,
        0.883915,
        0.894148,
        0.596403,
        0.541555,
        0.672722,
        0.898915,
        0.813163,
        0.544642,
        0.651001,
        0.781893,
        0.424495,
        0.867572,
        0.850243,
        0.707168,
        1.02103,
        1.18098,
        1.08581,
        1.13343,
        0.87658,
        0.496365,
        0.803179,
        1.01904,
        0.628249,
        0.768076,
        0.874063,
        0.96488,
        1.08609,
        0.904511,
        0.625589,
        0.681283,
        0.57632,
        0.78444,
        0.737166,
        1.00887,
        0.823922,
        0.816249,
        1.0402,
        0.951437,
        0.935624,
        0.696804,
        0.679884,
        0.706749,
        0.933997,
        0.700741,
        0.935524,
        0.680513,
        0.881179,
        0.848153,
        0.760567,
        0.751492,
        0.877443,
        0.860353,
        1.06686,
        1.1247,
        0.88259,
        0.867073,
        0.672359,
        0.82038,
        0.631844,
        0.79795,
        0.755958,
        1.06235,
        0.681477,
        0.486525,
        0.357575,
        0.704131,
        0.705999,
        0.686115,
        0.423608,
        0.565591,
        0.790071,
        0.816665,
        0.892694,
        0.893685,
        0.450001,
        0.677595,
        0.600066,
        0.636077,
        0.712256,
        0.575441,
        1.02112,
        0.911729,
        1.15045,
        0.952794,
        0.48711,
        0.453777,
        0.752696,
        0.774176,
        0.971014,
        1.11161,
        0.89443,
        0.558574,
        1.07561,
        0.970878,
        1.16898,
        0.761667,
        0.536734,
        1.13886,
        1.07845,
        0.628496,
        0.702871,
        0.576211,
        0.624407,
        0.600597,
        0.826669,
        1.12235,
        0.861628,
        0.422865,
        0.589661,
        1.01183,
        0.679758,
        0.609983,
        1.001,
        1.29101,
        1.03589,
        0.753131,
        1.02466,
        0.807647,
        0.660915,
        1.0984,
        0.960786,
        0.722258,
        0.827731,
        0.632704,
        0.234002,
        0.415423,
        0.924415,
        0.842078,
        0.579465,
        0.841203,
        0.790126,
        0.550609,
        0.846759,
        0.614318,
        0.852528,
        0.999075,
        0.742635,
        0.471524,
        0.663788,
        0.829803,
        0.896775,
        0.900007,
        0.857323,
        0.708594,
        0.505679,
        0.939211,
        0.753192,
        0.497005,
        1.02317,
        0.766038,
        0.956403,
        0.848006,
        0.755157,
        0.331807,
        0.632447,
        0.555535,
        0.918674,
        1.21958,
        0.932692,
        0.619866,
        0.773939,
        0.569201,
        0.72775,
        1.17511,
        1.09832,
        0.76169,
        0.670284,
        0.70688,
        0.819683,
        1.06408,
        0.801042,
        0.65883,
        1.00773,
        0.778342,
        0.798079,
        1.01973,
        1.10951,
        0.891078,
        1.05169,
        1.02706,
        1.19986,
        1.11806,
        0.485259,
        0.960597,
        0.680743,
        0.939067,
        0.902582,
        0.839393,
        0.867241,
        0.815081,
        0.772851,
        0.963448,
        0.86284,
        0.774471,
        0.754856,
        0.740874,
        0.659454,
        0.772423,
        0.727878,
        1.25623,
        0.805789,
        0.980485,
        1.05186,
        0.640233,
        0.685551,
        0.89459,
        0.677363,
        0.579025,
        0.539762,
        0.87077,
        1.04601,
        1.18274,
        0.781621,
        0.635133,
        0.756428,
        1.13097,
        0.759241,
        1.05518,
        0.946576,
        0.900279,
        0.816146,
        1.29139,
        1.01889,
        0.591978,
        0.620155,
        0.635535,
        0.745086,
        0.858554,
        0.669405,
        0.548377,
        0.578144,
        0.73811,
        0.721221,
        1.26426,
        1.25146,
        1.08217,
        0.602004,
        0.413256,
        0.689785,
        0.616255,
        0.944614,
        0.752543,
        0.580676,
        0.386775,
        0.808896,
        0.773705,
        0.860695,
        0.929302,
        0.713264,
        0.707228,
        0.949163,
        0.753024,
        0.790848,
        0.996776,
        0.850189,
        0.546299,
        0.376914,
        0.778835,
        1.08967,
        0.876112,
        0.934526,
        0.977114,
        1.25997,
        0.880882,
        1.07742,
        0.987421,
        0.988991,
        0.804534,
        0.795243,
        1.00636,
        1.30394,
        1.38494,
        1.11662,
        0.927203,
        0.753246,
        0.778865,
        0.977539,
        0.77841,
        0.979824,
        0.534347,
        0.724742,
        0.921708,
        0.700707,
        1.28352,
        0.879885,
        0.668873,
        0.450701,
        1.27427,
        1.0594,
        0.774269,
        0.866983,
        0.422192,
        0.765747,
        0.522264,
        0.626562,
        1.70213,
        1.11923,
        1.93028,
        0.752297,
        0.687775,
        0.951012,
        1.21795,
        1.11883,
        1.11636,
        1.03246,
        0.677578,
        0.899437,
        0.885366,
        0.896113,
        0.976639,
        1.08514,
        0.899994,
        0.635657,
        0.897259,
        1.02875,
        0.971011,
        0.97096,
        1.08307,
        1.12486,
        0.472824,
        0.759264,
        1.02376,
        0.829439,
        0.560666,
        0.627993,
        0.881778,
        0.798199,
        1.08529,
        1.4488,
        1.22041,
        1.24997,
        0.669192,
        0.760211,
        0.864506,
        0.543957,
        0.687696,
        0.936459,
        0.813788,
        0.731794,
        0.650181,
        0.870184,
        1.0522,
        1.32081,
        1.04544,
        0.672125,
        0.729046,
        0.791938,
        0.901027,
        0.958508,
        0.752705,
        0.803651,
        0.790634,
        0.562362,
        0.84613,
        1.06004,
        1.23626,
        1.1516,
        0.706032,
        0.907434,
        0.891572,
        0.971417,
        1.02708,
        0.785899,
        0.89801,
        1.19799,
        0.702712,
        0.808884,
        1.05446,
        1.06431,
        1.15952,
        1.09513,
        1.09863,
        0.777257,
        0.678378,
        1.15354,
        0.900864,
        1.11581,
        0.957868,
        1.3552,
        0.861419,
        0.602375,
        0.857222,
        0.902326,
        0.828812,
        1.0851,
        0.485048,
        0.817813,
        0.82436,
        0.591697,
        0.841939,
        0.528131,
        0.922638,
        1.00011,
        0.622117,
        1.01716,
        0.850117,
        0.713307,
        0.600811,
        0.487963,
        0.781219,
        1.09769,
        1.23745,
        1.11601,
        1.05095,
        0.838215,
        1.11877,
        1.06643,
        null,
        null,
        12.4209,
        8.77986,
        7.96317,
        3.4637,
        2.30843,
        3.7875,
        2.47151,
        1.36114,
        2.70413,
        1.55257,
        2.00366,
        0.957524,
        1.18516,
        1.40556,
        0.887667,
        1.05108,
        0.901545,
        0.936533,
        1.07708,
        1.3311,
        0.846603,
        1.80289,
        0.803161,
        1.5921,
        0.690991,
        1.44328,
        0.748739,
        0.924804,
        0.884057,
        0.774909,
        1.03928,
        0.896976,
        0.702729,
        0.605119,
        0.723228,
        1.14573,
        0.833373,
        1.1623,
        1.25065,
        1.10921,
        0.906398,
        1.08293,
        0.725691,
        1.29495,
        1.53313,
        1.23002,
        1.04317,
        1.2595,
        1.30059,
        1.05278,
        1.28874,
        0.991119,
        1.34184,
        1.4888,
        0.842799,
        0.894731,
        0.83041,
        0.800331,
        1.04543,
        0.896457,
        0.830157,
        0.656604,
        0.673704,
        0.621844,
        1.1694,
        0.704769,
        1.00571,
        0.953987,
        0.832378,
        0.645097,
        0.906518,
        0.925318,
        0.965357,
        0.975558,
        1.41029,
        1.16567,
        0.613837,
        1.12867,
        1.39566,
        1.0652,
        0.987806,
        1.02874,
        0.710146,
        0.906059,
        0.842687,
        0.583584,
        0.940745,
        0.938837,
        1.27645,
        1.54686,
        1.25806,
        1.0307,
        0.921484,
        0.750984,
        0.851512,
        0.805835,
        0.992696,
        1.85129,
        1.65644,
        0.987923,
        1.57711,
        1.38854,
        1.29586,
        0.980987,
        2.02772,
        1.47014,
        1.24119,
        1.45378,
        1.13669,
        1.18111,
        1.76969,
        0.828972,
        1.18302,
        1.42587,
        2.10518,
        1.07969,
        1.59121,
        0.886208,
        0.865903,
        2.44557,
        2.03926,
        1.82473,
        1.09693,
        1.05806,
        1.23404,
        1.05616,
        1.51535,
        1.27739,
        1.76514,
        1.23561,
        1.72186,
        4.1441,
        2.05302,
        2.08491,
        1.43256,
        2.59706,
        3.73117,
        2.11606,
        1.64974,
        1.52943,
        1.3234,
        2.05982,
        1.48818,
        1.75991,
        1.47985,
        1.75033,
        1.34049,
        2.36068,
        2.68968,
        1.74225,
        3.14045,
        2.48812,
        3.29947,
        3.49112,
        3.40395,
        4.98504,
        12.6212,
        13.6887,
        12.4782,
        null,
        23.2289,
        26.1723,
        7.62062,
        17.7098,
        13.6734,
        4.89057,
        4.52853,
        4.18074,
        2.94221,
        3.55068,
        5.2331,
        3.66244,
        2.48894,
        2.56413,
        2.48511,
        2.10911,
        2.68218,
        2.34445,
        2.02585,
        3.34077,
        3.51922,
        1.61298,
        1.85888,
        1.82837,
        1.32412,
        1.41003,
        1.77003,
        1.27235,
        1.5349,
        1.02467,
        1.60751,
        1.67873,
        1.40469,
        1.29722,
        1.60134,
        1.15704,
        1.15975,
        1.87109,
        0.936683,
        0.852547,
        1.40092,
        0.820471,
        1.63623,
        1.43704,
        1.21764,
        1.18872,
        0.917929,
        0.968214,
        1.26305,
        0.902157,
        0.69648,
        0.728551,
        0.72523,
        0.882322,
        0.714748,
        0.662932,
        1.55315,
        1.57645,
        1.00219,
        0.978534,
        1.15785,
        1.50544,
        1.71402,
        1.45064,
        0.841621,
        0.861739,
        0.964369,
        0.773188,
        0.636818,
        1.44586,
        1.29557,
        2.06713,
        1.72476,
        1.26748,
        1.00018,
        1.30244,
        1.28494,
        0.725143,
        0.59766,
        0.952255,
        0.552459,
        1.28666,
        0.883791,
        1.08242,
        1.62393,
        1.44628,
        1.06582,
        1.36065,
        1.41726,
        0.63481,
        1.17385,
        1.50458,
        1.59109,
        1.14401,
        0.905794,
        0.980635,
        0.947801,
        0.608406,
        0.522857,
        1.40977,
        1.04821,
        0.60562,
        1.13404,
        1.71131,
        1.74554,
        1.4009,
        1.68637,
        1.56861,
        2.96148,
        1.42921,
        0.9621,
        1.31587,
        0.965205,
        0.600178,
        0.816675,
        0.735163,
        0.738824,
        0.990856,
        0.573168,
        0.650076,
        1.30798,
        0.803324,
        1.26946,
        1.37982,
        1.29937,
        0.944768,
        0.858428,
        0.890625,
        0.804395,
        0.954089,
        0.962262,
        1.23096,
        0.645779,
        0.898162,
        1.28712,
        0.798134,
        0.990816,
        0.809973,
        0.767593,
        1.20725,
        1.61625,
        1.46062,
        1.6581,
        1.94922,
        1.38826,
        1.18783,
        1.07171,
        0.989462,
        1.10798,
        1.42075,
        0.986415,
        0.479236,
        0.912577,
        1.09625,
        0.704724,
        0.724042,
        0.858972,
        1.34711,
        1.01115,
        0.574461,
        0.533895,
        0.592043,
        0.826391,
        0.471285,
        0.744127,
        1.46683,
        1.32944,
        0.943635,
        1.1267,
        1.12027,
        0.395779,
        0.987509,
        1.3189,
        0.734076,
        0.692888,
        1.21133,
        0.805015,
        0.684161,
        0.577103,
        0.520102,
        1.05666,
        1.00341,
        0.921045,
        0.733868,
        0.827786,
        0.95749,
        1.04237,
        1.03785,
        0.781779,
        0.610856,
        0.638381,
        1.1436,
        1.07949,
        0.894824,
        0.448191,
        0.646476,
        1.09275,
        1.07188,
        0.554771,
        0.965303,
        0.695635,
        0.711482,
        0.428535,
        0.952422,
        1.10966,
        0.602867,
        0.45456,
        0.996794,
        2.32522,
        7.90513,
        1.18877,
        1.59507,
        0.749753,
        0.946029,
        0.587136,
        0.562468,
        0.863276,
        0.77002,
        0.482494,
        0.688339,
        0.403101,
        0.584923,
        1.03961,
        0.906082,
        0.940101,
        0.902907,
        0.970284,
        1.11576,
        0.674165,
        1.26145,
        1.33579,
        1.13235,
        0.805278,
        1.12764,
        0.729625,
        0.435251,
        1.07428,
        0.734509,
        0.638401,
        0.734742,
        0.868212,
        0.98605,
        0.896866,
        0.787101,
        1.04601,
        0.730726,
        0.630403,
        1.10123,
        1.02145,
        0.824405,
        1.405,
        1.87961,
        1.44572,
        1.07117,
        1.1461,
        0.830399,
        0.720111,
        0.710148,
        0.658059,
        0.646328,
        0.549092,
        0.670038,
        1.39855,
        1.15122,
        1.08987,
        1.69591,
        1.22677,
        1.34878,
        2.08017,
        1.81492,
        0.714705,
        1.42661,
        0.91763,
        1.1342,
        0.465725,
        1.03367,
        1.16461,
        1.49625,
        1.03708,
        1.39293,
        1.03179,
        0.679469,
        0.691834,
        0.58491,
        0.970082,
        0.731325,
        0.610172,
        0.799734,
        0.979143,
        0.635204,
        0.889272,
        0.900264,
        0.896267,
        0.935709,
        1.3476,
        0.970729,
        0.697108,
        0.524474,
        0.778522,
        1.1316,
        0.445727,
        0.720583,
        1.05643,
        1.06468,
        1.00196,
        1.1573,
        0.61838,
        0.412964,
        0.799726,
        1.0111,
        0.848381,
        0.766961,
        0.809177,
        0.679801,
        0.66487,
        0.507912,
        0.956261,
        0.65002,
        0.860082,
        1.0901,
        1.21067,
        0.808888,
        0.726448,
        0.938761,
        0.608785,
        0.958299,
        1.16127,
        1.14834,
        0.9823,
        1.04538,
        1.13118,
        0.924219,
        0.720297,
        1.13657,
        0.754671,
        0.490688,
        0.873731,
        0.734653,
        0.717232,
        1.21015,
        0.967035,
        0.587663,
        0.902242,
        1.03788,
        1.19613,
        0.825117,
        0.549404,
        0.663455,
        0.77645,
        1.11206,
        0.961069,
        0.696655,
        1.33151,
        0.679518,
        0.819874,
        1.06828,
        1.02203,
        1.2313,
        0.733546,
        0.81374,
        0.710787,
        1.21689,
        0.427155,
        1.02395,
        0.76237,
        0.611869,
        1.10377,
        1.19001,
        1.02746,
        0.523291,
        0.856026,
        1.04959,
        0.857637,
        0.718275,
        0.65642,
        0.747955,
        0.516338,
        0.724855,
        1.13888,
        1.40544,
        0.913058,
        0.877979,
        1.3878,
        1.42185,
        0.786338,
        0.77129,
        0.54265,
        0.831361,
        0.774443,
        0.840163,
        0.789339,
        0.716835,
        0.867502,
        1.30719,
        1.04917,
        0.422028,
        0.878312,
        0.60706,
        0.625935,
        0.880731,
        0.831036,
        0.695638,
        1.01477,
        0.630886,
        0.92317,
        1.35318,
        0.904868,
        1.25609,
        0.911497,
        0.883592,
        1.39303,
        0.653493,
        0.452953,
        0.785856,
        0.487982,
        0.95429,
        0.626323,
        0.822518,
        1.17677,
        0.689886,
        1.04889,
        1.09026,
        1.3097,
        1.24506,
        1.36423,
        0.95633,
        0.533142,
        0.793238,
        1.88243,
        1.47912,
        1.05834,
        1.57119,
        0.657483,
        0.572194,
        0.638577,
        0.676215,
        0.737218,
        0.416598,
        0.800363,
        0.78072,
        1.05722,
        1.27422,
        0.794547,
        0.642901,
        1.28099,
        0.761995,
        1.6035,
        1.3028,
        1.11366,
        1.08239,
        1.33274,
        0.738725,
        0.846096,
        0.655682,
        0.563265,
        0.900735,
        1.34788,
        1.05136,
        0.864149,
        0.897965,
        0.617576,
        0.739018,
        0.548853,
        0.909044,
        1.57361,
        0.909174,
        0.669728,
        0.568595,
        0.460926,
        0.704931,
        0.435609,
        0.620926,
        1.27707,
        0.775953,
        0.739824,
        1.40874,
        0.808533,
        1.18319,
        0.864453,
        0.474923,
        1.15539,
        0.944987,
        1.18956,
        0.600201,
        1.18563,
        1.57209,
        0.546313,
        0.515662,
        1.29013,
        0.814285,
        1.06147,
        0.736298,
        1.00126,
        1.03584,
        0.914048,
        1.21068,
        1.43213,
        1.42794,
        1.77765,
        1.46821,
        1.30517,
        1.04128,
        0.745036,
        1.28498,
        1.45204,
        1.56196,
        0.796288,
        0.700279,
        0.497294,
        1.38714,
        0.970276,
        0.770467,
        0.508543,
        0.808323,
        0.974771,
        1.16803,
        0.658248,
        0.727985,
        1.4373,
        0.952531,
        0.986615,
        1.59399,
        1.15109,
        1.00862,
        1.19403,
        1.64823,
        1.57488,
        1.40521,
        0.76766,
        2.34051,
        1.74746,
        1.26172,
        1.29545,
        1.33277,
        0.569654,
        0.810002,
        1.03441,
        0.54438,
        1.32028,
        0.61138,
        1.26295,
        0.73786,
        1.05899,
        1.53638,
        1.25158,
        1.59285,
        0.859939,
        1.14335,
        1.19612,
        1.14576,
        1.26963,
        0.983334,
        1.11214,
        0.938876,
        1.10011,
        0.970589,
        1.23963,
        1.37529,
        0.591699,
        1.09063,
        1.73362,
        0.684935,
        1.37253,
        1.19686,
        0.937064,
        1.19386,
        1.27651,
        1.35754,
        0.693257,
        1.30636,
        2.27598,
        1.19754,
        1.39237,
        1.00808,
        0.823402,
        0.937156,
        1.27455,
        1.62971,
        1.99737,
        1.44546,
        2.03082,
        1.94917,
        2.61051,
        2.38135,
        3.34357,
        1.04978,
        1.16052,
        1.04694,
        2.24044,
        1.20931,
        1.31943,
        1.58694,
        1.75033,
        1.21184,
        1.31258,
        1.49991,
        2.78169,
        1.68802,
        3.67401,
        2.42357,
        7.90691,
        3.44555,
        8.59219,
        13.1744,
        21.4147,
        17.4186,
        null,
        4.67196,
        5.85378,
        3.58409,
        2.92258,
        5.41618,
        7.67276,
        2.52698,
        2.1982,
        2.62287,
        2.18985,
        2.51901,
        2.13705,
        3.5398,
        1.88656,
        1.65951,
        1.84293,
        2.80812,
        2.4065,
        1.48247,
        1.89662,
        3.9241,
        2.11082,
        1.31964,
        1.80734,
        1.38346,
        1.90114,
        1.94975,
        2.35337,
        1.25489,
        1.45158,
        1.56394,
        1.47641,
        1.39786,
        2.08551,
        3.33948,
        6.07809,
        6.63993,
        3.49588,
        10.6908,
        6.37115
    ],
    "flux_error": [
        1.29433,
        1.07815,
        0.874594,
        0.722322,
        0.72012,
        0.655987,
        0.57629,
        0.514597,
        0.494249,
        0.468451,
        0.45109,
        0.434392,
        0.427001,
        0.419878,
        0.411471,
        0.407621,
        0.400749,
        0.396309,
        0.39732,
        0.398691,
        0.398684,
        0.412011,
        0.414178,
        0.429786,
        0.450467,
        0.465987,
        0.492258,
        0.540159,
        0.609993,
        0.688068,
        1.02349,
        1.39239,
        0.904217,
        0.678808,
        0.652896,
        0.655607,
        0.656992,
        0.663647,
        0.673652,
        0.694948,
        0.747006,
        0.796589,
        0.860536,
        0.942009,
        4.00853,
        10.2241,
        7.21846,
        5.51793,
        4.37537,
        0.672532,
        0.575343,
        0.541244,
        0.528677,
        0.520573,
        0.500419,
        0.484208,
        0.467697,
        0.48321,
        0.544518,
        0.595225,
        0.688596,
        0.806098,
        1.02893,
        0.83846,
        0.716226,
        0.614519,
        0.541025,
        0.503228,
        0.468413,
        0.443071,
        0.429795,
        0.458505,
        0.484626,
        0.52726,
        0.606325,
        0.6709,
        0.708175,
        0.745505,
        0.743347,
        0.701506,
        0.664275,
        0.672453,
        0.682111,
        0.710951,
        0.764067,
        0.806654,
        1.09346,
        1.23847,
        1.4626,
        1.80884,
        18.3401,
        6.35563,
        4.7283,
        3.57196,
        2.01567,
        1.64048,
        0.902498,
        0.791795,
        0.715432,
        0.659002,
        0.640379,
        0.61946,
        0.597359,
        0.597087,
        0.609627,
        0.639187,
        0.679268,
        0.725919,
        0.807976,
        0.640508,
        0.558091,
        0.490347,
        0.438623,
        0.411836,
        0.389512,
        0.370557,
        0.360703,
        0.352067,
        0.346146,
        0.338965,
        0.336584,
        0.332663,
        0.329055,
        0.324654,
        0.316974,
        0.31288,
        0.309671,
        0.308328,
        0.310457,
        0.315519,
        0.316353,
        0.320498,
        0.325301,
        0.32891,
        0.339697,
        0.3487,
        0.358903,
        0.377034,
        0.392865,
        0.410886,
        0.440579,
        0.478199,
        0.533246,
        0.571348,
        0.938639,
        1.02688,
        2.10874,
        1.18862,
        1.10027,
        1.06384,
        0.877789,
        0.768507,
        0.529204,
        0.448919,
        0.423604,
        0.405774,
        0.36067,
        0.347389,
        0.346145,
        0.343543,
        0.331906,
        0.32123,
        0.327065,
        0.318148,
        0.294258,
        0.28894,
        0.28888,
        0.283817,
        0.278231,
        0.27475,
        0.273952,
        0.269664,
        0.267558,
        0.269292,
        0.270462,
        0.271475,
        0.273074,
        0.275927,
        0.276309,
        0.282803,
        0.294511,
        0.304892,
        0.317166,
        0.336313,
        0.365164,
        0.38826,
        0.406548,
        0.417879,
        0.406633,
        0.396345,
        0.397377,
        0.407049,
        0.424977,
        0.424401,
        0.443611,
        0.461,
        0.490036,
        0.536849,
        0.597268,
        0.655747,
        0.812064,
        0.983673,
        1.19773,
        1.38636,
        1.7068,
        5.93355,
        8.82205,
        48.7605,
        1.57446,
        1.08078,
        0.628454,
        0.553491,
        0.518421,
        0.481757,
        0.456883,
        0.391952,
        0.369231,
        0.355698,
        0.341409,
        0.332788,
        0.324663,
        0.320405,
        0.320185,
        0.323902,
        0.329735,
        0.341029,
        0.357789,
        0.375825,
        0.37851,
        0.364621,
        0.343093,
        0.320812,
        0.303392,
        0.288038,
        0.283527,
        0.283973,
        0.288451,
        0.284156,
        0.286601,
        0.289346,
        0.293929,
        0.29906,
        0.298503,
        0.297821,
        0.296943,
        0.304739,
        0.311625,
        0.298081,
        0.30211,
        0.305084,
        0.309907,
        0.315375,
        0.328443,
        0.335783,
        0.351188,
        0.369153,
        0.386653,
        0.40582,
        0.432152,
        0.445001,
        0.460693,
        0.484076,
        0.518929,
        0.564882,
        0.615947,
        0.67373,
        0.761221,
        1.0624,
        1.25537,
        2.65642,
        2.1211,
        1.69994,
        1.48999,
        1.08729,
        0.87652,
        0.78562,
        0.591483,
        0.531139,
        0.422026,
        0.395613,
        0.37499,
        0.314098,
        0.302317,
        0.291361,
        0.28784,
        0.280807,
        0.275791,
        0.271867,
        0.27157,
        0.27126,
        0.265456,
        0.264016,
        0.265409,
        0.269124,
        0.265741,
        0.266351,
        0.266112,
        0.265391,
        0.275402,
        0.273808,
        0.265635,
        0.270339,
        0.275296,
        0.275885,
        0.277834,
        0.283133,
        0.288027,
        0.296446,
        0.347756,
        0.347377,
        0.310852,
        0.319742,
        0.330478,
        0.343015,
        0.352726,
        0.364454,
        0.377405,
        0.384625,
        0.390903,
        0.40383,
        0.419239,
        0.444315,
        0.472158,
        0.501274,
        0.523119,
        0.573932,
        0.655425,
        0.744413,
        0.841193,
        1.00602,
        2.08715,
        2.69868,
        1.04759,
        0.902042,
        0.7919,
        0.698699,
        0.628149,
        0.483876,
        0.448269,
        0.412217,
        0.383186,
        0.360444,
        0.339454,
        0.327666,
        0.318601,
        0.299076,
        0.301378,
        0.291138,
        0.295043,
        0.285862,
        0.251428,
        0.246733,
        0.242172,
        0.238536,
        0.232801,
        0.227476,
        0.227516,
        0.225847,
        0.224493,
        0.224467,
        0.22365,
        0.222463,
        0.222208,
        0.226744,
        0.22936,
        0.229504,
        0.233036,
        0.233159,
        0.251667,
        0.256548,
        0.245191,
        0.24903,
        0.253291,
        0.255504,
        0.272227,
        0.273254,
        0.265044,
        0.269221,
        0.27781,
        0.28984,
        0.303617,
        0.320723,
        0.336796,
        0.355806,
        0.379172,
        0.405546,
        0.430196,
        0.46712,
        0.521373,
        0.595821,
        0.682922,
        0.771824,
        0.836932,
        0.897979,
        2.01296,
        2.53071,
        0.675292,
        0.58892,
        0.488556,
        0.451865,
        0.419776,
        0.390423,
        0.369789,
        0.352143,
        0.332367,
        0.316687,
        0.30523,
        0.296322,
        0.28702,
        0.278834,
        0.269623,
        0.260169,
        0.254041,
        0.249383,
        0.248619,
        0.245936,
        0.243945,
        0.243354,
        0.244316,
        0.246813,
        0.247809,
        0.251656,
        0.251603,
        0.252465,
        0.247901,
        0.24253,
        0.237038,
        0.247593,
        0.258658,
        0.249526,
        0.246304,
        0.251494,
        0.261439,
        0.270951,
        0.279545,
        0.286276,
        0.295337,
        0.298875,
        0.306094,
        0.325732,
        0.355769,
        0.405514,
        0.469962,
        0.53622,
        0.556481,
        0.473077,
        0.44358,
        0.419581,
        0.41079,
        0.408943,
        0.418084,
        0.431492,
        0.493095,
        0.515091,
        0.491549,
        0.577732,
        0.628903,
        0.692847,
        0.805566,
        1.16111,
        3.11084,
        0.775187,
        0.721719,
        0.664689,
        0.594659,
        0.576897,
        0.48858,
        0.466225,
        0.472251,
        0.485889,
        0.52866,
        0.608951,
        0.825552,
        0.850985,
        0.769904,
        0.561497,
        0.418316,
        0.381942,
        0.346659,
        0.332231,
        0.31692,
        0.310759,
        0.304686,
        0.30359,
        0.306804,
        0.321407,
        0.321169,
        0.316505,
        0.321449,
        0.335824,
        0.36206,
        0.402017,
        0.452102,
        0.536819,
        0.646885,
        0.719439,
        0.731153,
        0.532632,
        0.451069,
        0.401741,
        0.309928,
        0.281154,
        0.278484,
        0.288809,
        0.290028,
        0.281002,
        0.305496,
        0.319739,
        0.31073,
        0.312318,
        0.332828,
        0.355749,
        0.383547,
        0.414301,
        0.447481,
        0.479661,
        0.516136,
        0.563179,
        0.62029,
        0.70885,
        1.42277,
        1.87768,
        2.50986,
        11.5774,
        18.3307,
        17.9078,
        18.3701,
        0.517684,
        0.467097,
        0.425355,
        0.391887,
        0.376225,
        0.361328,
        0.345133,
        0.334337,
        0.363866,
        0.320911,
        0.309901,
        0.30771,
        0.30715,
        0.305065,
        0.313726,
        0.318053,
        0.32721,
        0.343053,
        0.353566,
        0.382987,
        0.43582,
        0.519161,
        0.623,
        1.10827,
        1.18899,
        1.29295,
        1.463,
        1.62482,
        0.912191,
        0.644047,
        0.485098,
        0.418254,
        0.363607,
        0.312375,
        0.294833,
        0.280321,
        0.275195,
        0.299196,
        0.294943,
        0.269131,
        0.269729,
        0.270983,
        0.281033,
        0.288196,
        0.282359,
        0.282652,
        0.284382,
        0.301277,
        0.301606,
        0.286313,
        0.291581,
        0.301426,
        0.315406,
        0.338194,
        0.358992,
        0.36599,
        0.384049,
        0.406279,
        0.426605,
        0.456695,
        0.490863,
        0.532352,
        0.591366,
        0.66279,
        0.758691,
        0.908186,
        2.01232,
        2.79399,
        3.90543,
        1.13696,
        0.63242,
        0.550112,
        0.508817,
        0.476779,
        0.464637,
        0.451341,
        0.442239,
        0.447487,
        0.469389,
        0.499878,
        0.524062,
        0.587557,
        0.638829,
        0.507583,
        0.423897,
        0.36545,
        0.3322,
        0.305329,
        0.283619,
        0.267286,
        0.257023,
        0.248661,
        0.239239,
        0.234872,
        0.232525,
        0.230668,
        0.232211,
        0.235629,
        0.244232,
        0.249327,
        0.246703,
        0.246101,
        0.246711,
        0.257916,
        0.26285,
        0.247323,
        0.229609,
        0.224853,
        0.222543,
        0.224487,
        0.225705,
        0.223574,
        0.22553,
        0.227752,
        0.23029,
        0.232848,
        0.238767,
        0.24621,
        0.251579,
        0.261374,
        0.27475,
        0.287789,
        0.30036,
        0.315001,
        0.32725,
        0.338622,
        0.348953,
        0.388596,
        0.416932,
        0.453705,
        0.609518,
        0.693399,
        0.82347,
        1.46161,
        1.98772,
        1.20893,
        1.11813,
        1.10983,
        1.09366,
        1.08902,
        0.780047,
        0.633411,
        0.474975,
        0.418546,
        0.377888,
        0.353706,
        0.327641,
        0.306842,
        0.284152,
        0.267851,
        0.259325,
        0.252358,
        0.246181,
        0.239113,
        0.235224,
        0.230974,
        0.239431,
        0.238061,
        0.230796,
        0.235435,
        0.239956,
        0.239971,
        0.233826,
        0.236557,
        0.237502,
        0.241706,
        0.254054,
        0.286661,
        0.313012,
        0.335194,
        0.401127,
        0.490758,
        0.615163,
        0.771729,
        0.870907,
        0.795791,
        0.545147,
        0.447304,
        0.37979,
        0.337677,
        0.311129,
        0.291868,
        0.276543,
        0.270894,
        0.265547,
        0.267616,
        0.269373,
        0.266515,
        0.267514,
        0.276719,
        0.286212,
        0.2936,
        0.304597,
        0.327231,
        0.339696,
        0.347568,
        0.370508,
        0.392738,
        0.421429,
        0.524401,
        0.610129,
        4.00205,
        2.42706,
        1.66719,
        0.794202,
        0.668508,
        0.56903,
        0.507806,
        0.457699,
        0.38938,
        0.358871,
        0.354965,
        0.338131,
        0.30271,
        0.287465,
        0.275554,
        0.267091,
        0.260855,
        0.25473,
        0.252073,
        0.253206,
        0.253909,
        0.250478,
        0.244345,
        0.238124,
        0.232366,
        0.224569,
        0.21716,
        0.214435,
        0.217383,
        0.215612,
        0.204133,
        0.199388,
        0.194384,
        0.190706,
        0.187433,
        0.185834,
        0.183894,
        0.184002,
        0.182568,
        0.184947,
        0.189365,
        0.181924,
        0.190663,
        0.191836,
        0.184735,
        0.187409,
        0.189306,
        0.192259,
        0.194262,
        0.196459,
        0.195709,
        0.195866,
        0.197056,
        0.205782,
        0.215252,
        0.214026,
        0.211787,
        0.209947,
        0.213766,
        0.219679,
        0.227106,
        0.23493,
        0.24184,
        0.26339,
        0.275802,
        0.271612,
        0.282982,
        0.297333,
        0.31339,
        0.331586,
        0.349629,
        0.377173,
        0.414996,
        0.453653,
        0.501357,
        0.566421,
        0.640016,
        0.740393,
        2.82664,
        3.99449,
        6.38235,
        0.771975,
        0.585422,
        0.546189,
        0.508953,
        0.435865,
        0.398292,
        0.374463,
        0.352596,
        0.335104,
        0.326626,
        0.319823,
        0.304219,
        0.290964,
        0.273033,
        0.257982,
        0.248841,
        0.242184,
        0.237215,
        0.227093,
        0.221128,
        0.214568,
        0.210795,
        0.206959,
        0.203837,
        0.201102,
        0.199745,
        0.196082,
        0.195879,
        0.194551,
        0.191476,
        0.189563,
        0.189728,
        0.192267,
        0.185434,
        0.181873,
        0.179367,
        0.203547,
        0.203207,
        0.179538,
        0.179393,
        0.180133,
        0.180221,
        0.17995,
        0.180309,
        0.181751,
        0.180965,
        0.185012,
        0.186074,
        0.187236,
        0.192105,
        0.201588,
        0.202597,
        0.197793,
        0.201161,
        0.204147,
        0.207702,
        0.21384,
        0.219536,
        0.227037,
        0.231318,
        0.233876,
        0.240775,
        0.246486,
        0.252935,
        0.262116,
        0.271861,
        0.28408,
        0.300512,
        0.312978,
        0.335288,
        0.362659,
        0.392279,
        0.430614,
        0.475375,
        0.530423,
        0.588764,
        0.683655,
        0.791443,
        2.10728,
        23.6214,
        3.77332,
        1.2061,
        0.984103,
        0.831519,
        0.564133,
        0.515368,
        0.43066,
        0.415342,
        0.375405,
        0.342391,
        0.34021,
        0.319591,
        0.294405,
        0.282216,
        0.285066,
        0.274182,
        0.257784,
        0.254918,
        0.247322,
        0.248291,
        0.245861,
        0.250493,
        0.248245,
        0.235878,
        0.23966,
        0.240176,
        0.24572,
        0.249342,
        0.272592,
        0.287588,
        0.290533,
        0.315133,
        0.354048,
        0.401686,
        0.445833,
        0.496257,
        0.447176,
        0.403359,
        0.362776,
        0.32417,
        0.303909,
        0.278981,
        0.252633,
        0.239102,
        0.230418,
        0.227789,
        0.224348,
        0.230496,
        0.22796,
        0.217431,
        0.218938,
        0.221085,
        0.223113,
        0.233043,
        0.23556,
        0.229087,
        0.239803,
        0.241606,
        0.242555,
        0.256171,
        0.268023,
        0.272775,
        0.277692,
        0.293581,
        0.312595,
        0.33076,
        0.36052,
        0.404053,
        0.449586,
        0.505677,
        0.617803,
        0.757557,
        0.907917,
        1.21102,
        2.82017,
        2.90879,
        3.07231,
        3.25617,
        47.4103,
        0.558777,
        0.418053,
        0.39056,
        0.369371,
        0.349632,
        0.334433,
        0.3152,
        0.318503,
        0.308631,
        0.282915,
        0.271452,
        0.262371,
        0.25188,
        0.252452,
        0.246393,
        0.236703,
        0.234333,
        0.230524,
        0.225003,
        0.22072,
        0.219773,
        0.21931,
        0.213154,
        0.209689,
        0.208095,
        0.206711,
        0.206208,
        0.207976,
        0.208417,
        0.20711,
        0.206504,
        0.206466,
        0.206336,
        0.20729,
        0.207015,
        0.208376,
        0.209035,
        0.211424,
        0.212525,
        0.215221,
        0.217255,
        0.221737,
        0.226454,
        0.23251,
        0.236842,
        0.245279,
        0.251084,
        0.257472,
        0.265845,
        0.272116,
        0.276175,
        0.284458,
        0.319873,
        0.334022,
        0.324301,
        0.348983,
        0.378889,
        0.429542,
        0.496489,
        0.578713,
        0.712785,
        0.861408,
        0.623652,
        0.618651,
        0.59839,
        0.578939,
        0.594292,
        0.610657,
        0.640019,
        0.677521,
        0.942697,
        1.13038,
        1.38704,
        1.81134,
        2.30545,
        0.811007,
        0.680285,
        0.545987,
        0.497279,
        0.451356,
        0.420369,
        0.393032,
        0.366809,
        0.345901,
        0.333935,
        0.318743,
        0.305813,
        0.294925,
        0.296955,
        0.287485,
        0.271525,
        0.273598,
        0.289901,
        0.280915,
        0.266141,
        0.263378,
        0.261751,
        0.258936,
        0.256052,
        0.253161,
        0.248603,
        0.243957,
        0.246528,
        0.251017,
        0.254348,
        0.251209,
        0.246339,
        0.246023,
        0.242171,
        0.235697,
        0.234428,
        0.236799,
        0.235688,
        0.236477,
        0.241472,
        0.246463,
        0.257149,
        0.265141,
        0.285519,
        0.293425,
        0.289181,
        0.305899,
        0.326235,
        0.343315,
        0.375435,
        0.42086,
        0.484721,
        0.718786,
        0.951948,
        1.30615,
        2.60369,
        1.98884,
        1.52067,
        0.609841,
        0.511858,
        0.462581,
        0.418948,
        0.389051,
        0.369788,
        0.353504,
        0.338875,
        0.334392,
        0.330277,
        0.332652,
        0.335071,
        0.339316,
        0.344322,
        0.352836,
        0.371501,
        0.39328,
        0.413262,
        0.441527,
        0.479338,
        0.519874,
        0.563853,
        0.62064,
        1.18889,
        1.4212,
        10.3232,
        1.01906,
        0.83245,
        0.72134,
        0.676075,
        0.405989,
        0.398498,
        0.386753,
        0.369213,
        0.343234,
        0.319523,
        0.304205,
        0.291037,
        0.281228,
        0.272257,
        0.265724,
        0.260353,
        0.256025,
        0.253925,
        0.247917,
        0.247905,
        0.244563,
        0.240937,
        0.243246,
        0.242437,
        0.242034,
        0.242861,
        0.245133,
        0.24916,
        0.253793,
        0.256872,
        0.261998,
        0.272118,
        0.28439,
        0.297415,
        0.31252,
        0.33396,
        0.358614,
        0.409131,
        0.469088,
        0.528722,
        2.75009,
        1.97009,
        1.54709,
        0.618235,
        0.469419,
        0.422446,
        0.379507,
        0.38084,
        0.358665,
        0.318261,
        0.310802,
        0.301102,
        0.295697,
        0.291811,
        0.292681,
        0.287189,
        0.280254,
        0.282668,
        0.285882,
        0.286764,
        0.29416,
        0.294781,
        0.298322,
        0.305365,
        0.31718,
        0.326558,
        0.343132,
        0.35368,
        0.363953,
        0.37097,
        0.388004,
        0.406868,
        0.436953,
        0.473771,
        0.501241,
        0.546093,
        0.596671,
        0.669744,
        0.888786,
        1.07097,
        13.9134,
        5.71024,
        0.977804,
        0.845116,
        0.628862,
        0.502378,
        0.465272,
        0.443987,
        0.425995,
        0.408216,
        0.399422,
        0.39399,
        0.385921,
        0.375997,
        0.36509,
        0.343629,
        0.336682,
        0.306043,
        0.312369,
        0.320039,
        0.329831,
        0.344369,
        0.362708,
        0.389702,
        0.415057,
        0.720239,
        0.801192,
        1.48159,
        2.01279,
        2.63305,
        2.79515,
        0.455797,
        0.411026,
        0.374715,
        0.350073,
        0.351629,
        0.328771,
        0.30777,
        0.294771,
        0.280834,
        0.274735,
        0.272705,
        0.269041,
        0.262926,
        0.264512,
        0.273599,
        0.261305,
        0.257062,
        0.257781,
        0.264917,
        0.266213,
        0.262125,
        0.267681,
        0.273536,
        0.303307,
        0.304979,
        0.285643,
        0.282914,
        0.28476,
        0.282437,
        0.283631,
        0.28728,
        0.293474,
        0.29939,
        0.312612,
        0.318993,
        0.323207,
        0.336411,
        0.350821,
        0.371545,
        0.397916,
        0.430516,
        0.464654,
        null,
        1.02946,
        1.36946,
        3.27802,
        6.14613,
        1.24285,
        0.997709,
        0.709092,
        0.670631,
        0.626743,
        0.581125,
        0.587734,
        0.614791,
        0.881728,
        1.01025,
        1.19375,
        2.06964,
        0.549185,
        0.450218,
        0.367796,
        0.317326,
        0.284367,
        0.261011,
        0.244071,
        0.231783,
        0.218608,
        0.208383,
        0.201943,
        0.195788,
        0.190995,
        0.186861,
        0.184071,
        0.184598,
        0.184909,
        0.185686,
        0.190171,
        0.196508,
        0.201811,
        0.20671,
        0.210852,
        0.203236,
        0.19179,
        0.18914,
        0.190625,
        0.174752,
        0.170579,
        0.168583,
        0.167707,
        0.166926,
        0.167137,
        0.166761,
        0.16704,
        0.166905,
        0.165974,
        0.168112,
        0.169019,
        0.171492,
        0.171973,
        0.169324,
        0.171724,
        0.181108,
        0.184035,
        0.180088,
        0.182611,
        0.185405,
        0.190025,
        0.195248,
        0.199261,
        0.204247,
        0.210841,
        0.224506,
        0.236158,
        0.251558,
        0.272511,
        0.284948,
        0.310581,
        0.331399,
        0.351081,
        0.371711,
        0.395817,
        0.432076,
        0.486223,
        0.560154,
        0.667408,
        1.11492,
        26.0748,
        13.4144,
        0.680288,
        0.538496,
        0.450731,
        0.390296,
        0.347526,
        0.31663,
        0.295711,
        0.312038,
        0.304808,
        0.273333,
        0.26126,
        0.242621,
        0.226293,
        0.212652,
        0.202262,
        0.19323,
        0.188927,
        0.186487,
        0.183894,
        0.184183,
        0.182896,
        0.18194,
        0.179808,
        0.177255,
        0.178646,
        0.183728,
        0.189613,
        0.194287,
        0.194057,
        0.188293,
        0.180669,
        0.171193,
        0.1639,
        0.162659,
        0.161879,
        0.153323,
        0.153076,
        0.152456,
        0.151652,
        0.151228,
        0.152438,
        0.153747,
        0.155945,
        0.15537,
        0.156359,
        0.155983,
        0.1557,
        0.157214,
        0.159314,
        0.159465,
        0.160618,
        0.161447,
        0.163246,
        0.165653,
        0.17294,
        0.17416,
        0.17048,
        0.173575,
        0.177674,
        0.181377,
        0.187894,
        0.196058,
        0.201142,
        0.208156,
        0.218385,
        0.230247,
        0.245481,
        0.265551,
        0.288138,
        0.314924,
        0.349825,
        0.400597,
        0.467532,
        0.575113,
        0.732703,
        0.940689,
        2.37802,
        0.889748,
        0.739783,
        0.636321,
        0.558018,
        0.527271,
        0.468707,
        0.385534,
        0.338872,
        0.29842,
        0.268332,
        0.245309,
        0.230656,
        0.216444,
        0.20213,
        0.191267,
        0.183956,
        0.177502,
        0.172575,
        0.167761,
        0.163833,
        0.160664,
        0.159899,
        0.159359,
        0.159131,
        0.156197,
        0.154433,
        0.151168,
        0.146913,
        0.142668,
        0.139646,
        0.137096,
        0.135022,
        0.135223,
        0.133457,
        0.131454,
        0.132082,
        0.134055,
        0.131954,
        0.131646,
        0.13103,
        0.130293,
        0.129186,
        0.129321,
        0.128348,
        0.127469,
        0.126434,
        0.126557,
        0.128191,
        0.127852,
        0.127332,
        0.127737,
        0.128274,
        0.130144,
        0.132012,
        0.131122,
        0.131512,
        0.133258,
        0.138642,
        0.140328,
        0.139596,
        0.141758,
        0.143845,
        0.145212,
        0.148551,
        0.151585,
        0.153356,
        0.155795,
        0.157463,
        0.158682,
        0.162091,
        0.16684,
        0.171745,
        0.174613,
        0.179238,
        0.186749,
        0.197218,
        0.205118,
        0.220757,
        0.240468,
        0.261038,
        0.28016,
        0.298003,
        0.31232,
        0.328786,
        0.346333,
        0.385448,
        0.450524,
        0.518781,
        0.617403,
        0.802213,
        4.69341,
        0.549646,
        0.453146,
        0.388755,
        0.344206,
        0.30375,
        0.271418,
        0.249359,
        0.234859,
        0.221036,
        0.209593,
        0.199027,
        0.19271,
        0.189005,
        0.189474,
        0.185693,
        0.17798,
        0.175046,
        0.171781,
        0.168101,
        0.166587,
        0.162218,
        0.154609,
        0.149452,
        0.146192,
        0.143897,
        0.140152,
        0.136629,
        0.1323,
        0.13029,
        0.129203,
        0.130698,
        0.128837,
        0.123837,
        0.123044,
        0.122606,
        0.121995,
        0.121898,
        0.120655,
        0.120772,
        0.121176,
        0.122111,
        0.124029,
        0.126551,
        0.130021,
        0.138466,
        0.144793,
        0.148094,
        0.152883,
        0.154985,
        0.149601,
        0.1423,
        0.134732,
        0.132283,
        0.130211,
        0.129724,
        0.133421,
        0.132527,
        0.128303,
        0.130539,
        0.133597,
        0.134065,
        0.133947,
        0.134855,
        0.136129,
        0.137783,
        0.13914,
        0.145977,
        0.15099,
        0.147117,
        0.148471,
        0.151398,
        0.155526,
        0.160366,
        0.165545,
        0.178543,
        0.188264,
        0.190336,
        0.200991,
        0.219588,
        0.244794,
        0.274091,
        0.312416,
        0.351975,
        0.389957,
        0.551272,
        0.705504,
        0.890124,
        1.11874,
        1.31455,
        1.86835,
        1.1117,
        0.652052,
        0.510762,
        0.440944,
        0.342178,
        0.313193,
        0.293014,
        0.278558,
        0.286767,
        0.3017,
        0.276455,
        0.284406,
        0.283719,
        0.277643,
        0.258818,
        0.253793,
        0.250311,
        0.253924,
        0.267319,
        0.289921,
        0.328464,
        0.39392,
        0.500847,
        0.693773,
        2.709,
        1.02608,
        0.683364,
        0.495034,
        0.376649,
        0.306351,
        0.259524,
        0.2272,
        0.21155,
        0.190795,
        0.174211,
        0.162849,
        0.155627,
        0.148892,
        0.143464,
        0.140659,
        0.138267,
        0.137419,
        0.137342,
        0.136361,
        0.134826,
        0.130824,
        0.129372,
        0.128953,
        0.129047,
        0.128824,
        0.128397,
        0.129596,
        0.130513,
        0.131897,
        0.134616,
        0.15094,
        0.156547,
        0.148533,
        0.156421,
        0.165028,
        0.173233,
        0.178436,
        0.184451,
        0.175583,
        0.174072,
        0.180501,
        0.183414,
        0.186305,
        0.196717,
        0.211814,
        0.234246,
        0.265557,
        0.311322,
        0.383213,
        0.625525,
        0.766024,
        0.881433,
        0.946537,
        0.837776,
        0.736776,
        0.628726,
        0.558024,
        0.38433,
        0.384863,
        0.385398,
        0.429985,
        0.482989,
        0.565435,
        0.702453,
        3.5703,
        1.13733,
        0.758946,
        0.597899,
        0.473073,
        0.376408,
        0.324502,
        0.283755,
        0.248301,
        0.225339,
        0.207688,
        0.194492,
        0.183989,
        0.175324,
        0.167561,
        0.160624,
        0.158317,
        0.157062,
        0.148929,
        0.143642,
        0.141042,
        0.137513,
        0.134734,
        0.132924,
        0.131485,
        0.129184,
        0.128065,
        0.125799,
        0.125101,
        0.12464,
        0.124256,
        0.123917,
        0.124436,
        0.122926,
        0.121072,
        0.119091,
        0.118348,
        0.118701,
        0.116665,
        0.113769,
        0.113495,
        0.113285,
        0.113745,
        0.114999,
        0.116632,
        0.118467,
        0.120467,
        0.125238,
        0.129957,
        0.136564,
        0.143,
        0.148066,
        0.149158,
        0.148523,
        0.14711,
        0.147817,
        0.15044,
        0.155982,
        0.159719,
        0.161141,
        0.157785,
        0.155193,
        0.15096,
        0.148634,
        0.149252,
        0.15166,
        0.160621,
        0.171179,
        0.173326,
        0.193119,
        0.206979,
        0.234989,
        0.275443,
        0.331719,
        0.412987,
        0.509083,
        0.613612,
        0.692027,
        0.734257,
        0.731892,
        0.650018,
        0.553643,
        0.450283,
        0.362962,
        0.305792,
        0.265709,
        0.233972,
        0.212756,
        0.198586,
        0.188812,
        0.181585,
        0.17781,
        0.174866,
        0.174656,
        0.176669,
        0.178984,
        0.184237,
        0.191255,
        0.211909,
        0.225174,
        0.23349,
        0.26054,
        0.296487,
        0.348747,
        0.430029,
        0.545118,
        0.767619,
        1.10107,
        1.64178,
        1.051,
        0.742959,
        0.552347,
        0.434947,
        0.360525,
        0.321048,
        0.279032,
        0.239098,
        0.218117,
        0.201833,
        0.189825,
        0.18097,
        0.177225,
        0.174772,
        0.164096,
        0.156603,
        0.153249,
        0.152586,
        0.159827,
        0.163122,
        0.164408,
        0.166999,
        0.16416,
        0.158695,
        0.152762,
        0.147424,
        0.140136,
        0.136374,
        0.13564,
        0.138087,
        0.140238,
        0.143395,
        0.147592,
        0.145542,
        0.139414,
        0.133891,
        0.125742,
        0.120754,
        0.118904,
        0.116566,
        0.118672,
        0.117972,
        0.113717,
        0.11345,
        0.113535,
        0.114232,
        0.114911,
        0.116094,
        0.117827,
        0.121274,
        0.127046,
        0.129182,
        0.132012,
        0.136783,
        0.133878,
        0.136435,
        0.140705,
        0.148026,
        0.157846,
        0.170707,
        0.186421,
        0.207538,
        0.233879,
        0.268151,
        0.322156,
        0.491273,
        0.560165,
        0.58664,
        0.595016,
        0.601639,
        0.576683,
        0.523818,
        0.447822,
        0.373442,
        0.303127,
        0.252059,
        0.218817,
        0.197531,
        0.180959,
        0.169949,
        0.160003,
        0.154197,
        0.149708,
        0.145677,
        0.143517,
        0.145171,
        0.141379,
        0.138691,
        0.138474,
        0.138795,
        0.139281,
        0.141356,
        0.145492,
        0.151118,
        0.153129,
        0.15728,
        0.163032,
        0.170963,
        0.190777,
        0.209128,
        0.218183,
        0.24587,
        0.274658,
        0.312013,
        0.349952,
        0.397145,
        0.47512,
        0.757997,
        0.457319,
        0.385884,
        0.332849,
        0.300722,
        0.294353,
        0.294477,
        0.293677,
        0.305308,
        0.345157,
        0.42357,
        0.891825,
        0.675864,
        0.527216,
        0.41503,
        0.327134,
        0.268012,
        0.235589,
        0.211915,
        0.194344,
        0.185577,
        0.17612,
        0.170563,
        0.16807,
        0.169334,
        0.170101,
        0.170474,
        0.173565,
        0.18323,
        0.192437,
        0.204794,
        0.224867,
        0.251265,
        0.2924,
        0.35926,
        0.451193,
        0.580493,
        0.844785,
        1.34268,
        1.83727,
        1.16231,
        0.839183,
        0.528822,
        0.527965,
        0.567857,
        0.630808,
        0.682438,
        0.669598,
        0.635132,
        0.641055,
        0.641597,
        0.562772,
        0.389528,
        0.343473,
        0.308102,
        0.275889,
        0.246921,
        0.22265,
        0.200157,
        0.182087,
        0.16819,
        0.159856,
        0.1546,
        0.151459,
        0.146271,
        0.142158,
        0.139817,
        0.158761,
        0.163247,
        0.141893,
        0.134385,
        0.132152,
        0.133334,
        0.134732,
        0.135672,
        0.141981,
        0.154994,
        0.146388,
        0.137871,
        0.141598,
        0.140041,
        0.138971,
        0.138875,
        0.139449,
        0.140973,
        0.143921,
        0.147185,
        0.152361,
        0.159575,
        0.169709,
        0.181722,
        0.194779,
        0.208948,
        0.228508,
        0.265027,
        0.322877,
        0.38802,
        0.516739,
        1.03039,
        1.71349,
        0.539066,
        0.417334,
        0.357575,
        0.298206,
        0.251581,
        0.225696,
        0.215278,
        0.204163,
        0.183941,
        0.184148,
        0.174093,
        0.157551,
        0.152263,
        0.147482,
        0.146979,
        0.147237,
        0.148757,
        0.149088,
        0.14664,
        0.142711,
        0.143179,
        0.141047,
        0.13677,
        0.140743,
        0.140393,
        0.13236,
        0.132601,
        0.134152,
        0.139431,
        0.145579,
        0.148845,
        0.151842,
        0.150666,
        0.150992,
        0.14708,
        0.14261,
        0.14896,
        0.148032,
        0.144686,
        0.149745,
        0.159721,
        0.181578,
        0.201268,
        0.22255,
        0.257805,
        0.297424,
        0.352082,
        0.410069,
        0.435871,
        0.427818,
        0.419405,
        0.432216,
        0.441108,
        0.328794,
        0.264696,
        0.228329,
        0.202398,
        0.181968,
        0.168328,
        0.158864,
        0.151268,
        0.145671,
        0.144626,
        0.142793,
        0.142485,
        0.140522,
        0.140233,
        0.142696,
        0.145985,
        0.150295,
        0.155145,
        0.161537,
        0.169301,
        0.177436,
        0.179696,
        0.178511,
        0.176066,
        0.174397,
        0.181266,
        0.180708,
        0.166949,
        0.161095,
        0.161789,
        0.156108,
        0.145942,
        0.142438,
        0.141322,
        0.138774,
        0.136919,
        0.136538,
        0.141813,
        0.144639,
        0.142062,
        0.148523,
        0.156381,
        0.161727,
        0.164518,
        0.164885,
        0.160273,
        0.160735,
        0.159976,
        0.162706,
        0.17976,
        0.192335,
        0.193291,
        0.216449,
        0.239909,
        0.263477,
        0.317214,
        0.388181,
        0.683137,
        4.28428,
        2.02357,
        1.12514,
        0.760493,
        0.564168,
        0.441299,
        0.352953,
        0.296009,
        0.257552,
        0.227862,
        0.213975,
        0.194959,
        0.180688,
        0.17175,
        0.164431,
        0.159174,
        0.158156,
        0.149597,
        0.145512,
        0.141553,
        0.137317,
        0.134715,
        0.131418,
        0.129718,
        0.127957,
        0.125311,
        0.123883,
        0.123662,
        0.123961,
        0.125533,
        0.126448,
        0.129221,
        0.132707,
        0.137469,
        0.14887,
        0.154569,
        0.170609,
        0.188357,
        0.207819,
        0.236089,
        0.275135,
        0.319188,
        0.353244,
        0.363695,
        0.358528,
        0.363034,
        0.375467,
        0.391729,
        0.376907,
        0.328038,
        0.286086,
        0.246742,
        0.214462,
        0.189582,
        0.173826,
        0.164151,
        0.152237,
        0.142068,
        0.134573,
        0.128919,
        0.125116,
        0.121609,
        0.11745,
        0.116809,
        0.114535,
        0.116119,
        0.115211,
        0.110205,
        0.10889,
        0.108858,
        0.108831,
        0.109428,
        0.109684,
        0.109274,
        0.109487,
        0.111185,
        0.115465,
        0.116858,
        0.11754,
        0.119358,
        0.123381,
        0.130874,
        0.139782,
        0.15148,
        0.167772,
        0.167047,
        0.160374,
        0.152571,
        0.145211,
        0.136511,
        0.127984,
        0.123778,
        0.119253,
        0.115863,
        0.113826,
        0.113428,
        0.113542,
        0.114038,
        0.114548,
        0.11608,
        0.117633,
        0.119909,
        0.123945,
        0.132301,
        0.134893,
        0.143366,
        0.145656,
        0.141908,
        0.144102,
        0.147491,
        0.161199,
        0.170295,
        0.169727,
        0.176036,
        0.192586,
        0.21396,
        0.243968,
        0.285468,
        0.349762,
        0.45179,
        0.638546,
        0.907617,
        1.40278,
        2.11756,
        2.48205,
        2.17814,
        1.66622,
        0.537283,
        0.414113,
        0.329663,
        0.279814,
        0.243746,
        0.216187,
        0.197781,
        0.186841,
        0.175523,
        0.166776,
        0.161131,
        0.154803,
        0.150363,
        0.148936,
        0.148489,
        0.1471,
        0.147346,
        0.147557,
        0.148511,
        0.151263,
        0.155061,
        0.160295,
        0.169393,
        0.181607,
        0.197283,
        0.217699,
        0.24939,
        0.29205,
        0.335906,
        0.386213,
        0.395087,
        0.398113,
        0.372064,
        0.372666,
        0.381981,
        0.379563,
        0.353836,
        0.316157,
        0.282331,
        0.27074,
        0.248611,
        0.219605,
        0.210303,
        0.20947,
        0.213826,
        0.221059,
        0.230814,
        0.243652,
        0.257079,
        0.268933,
        0.290075,
        0.328307,
        0.385203,
        0.476563,
        0.649799,
        0.954239,
        1.8794,
        1.07152,
        0.716539,
        0.523835,
        0.409324,
        0.331786,
        0.28255,
        0.262173,
        0.232477,
        0.204743,
        0.190047,
        0.179443,
        0.17064,
        0.164554,
        0.158773,
        0.155545,
        0.152477,
        0.150726,
        0.149797,
        0.148777,
        0.147548,
        0.143627,
        0.139304,
        0.137452,
        0.138801,
        0.135625,
        0.127661,
        0.125029,
        0.122077,
        0.121245,
        0.126979,
        0.128279,
        0.117468,
        0.117371,
        0.118031,
        0.122058,
        0.121034,
        0.118858,
        0.119014,
        0.119846,
        0.12872,
        0.133966,
        0.129601,
        0.131165,
        0.133417,
        0.139631,
        0.14579,
        0.151283,
        0.157381,
        0.169074,
        0.184657,
        0.205037,
        0.258451,
        0.298413,
        0.329539,
        0.415937,
        0.541664,
        1.10657,
        1.54388,
        1.74399,
        1.52845,
        1.21109,
        0.857543,
        0.425004,
        0.369649,
        0.300537,
        0.255614,
        0.237967,
        0.2294,
        0.222429,
        0.237128,
        0.238141,
        0.224131,
        0.226364,
        0.232554,
        0.232382,
        0.236203,
        0.245965,
        0.263955,
        0.292931,
        0.319595,
        0.340296,
        0.342041,
        0.332076,
        0.323548,
        0.331726,
        0.341188,
        0.326476,
        0.314121,
        0.280124,
        0.253075,
        0.221301,
        0.194853,
        0.175449,
        0.162196,
        0.151262,
        0.143326,
        0.138427,
        0.13531,
        0.132188,
        0.130634,
        0.130708,
        0.13516,
        0.138042,
        0.136044,
        0.139081,
        0.139964,
        0.137578,
        0.131691,
        0.126864,
        0.121973,
        0.120016,
        0.118647,
        0.117541,
        0.117438,
        0.133704,
        0.136057,
        0.117623,
        0.117075,
        0.118101,
        0.118846,
        0.120155,
        0.122508,
        0.123745,
        0.129809,
        0.130047,
        0.124201,
        0.122702,
        0.120093,
        0.118838,
        0.116567,
        0.113543,
        0.112099,
        0.111319,
        0.110319,
        0.109522,
        0.11897,
        0.118256,
        0.107886,
        0.107105,
        0.106752,
        0.105923,
        0.105718,
        0.105633,
        0.105491,
        0.104857,
        0.105065,
        0.104863,
        0.104519,
        0.104809,
        0.105339,
        0.106248,
        0.10655,
        0.107342,
        0.109906,
        0.11063,
        0.109734,
        0.111348,
        0.114848,
        0.117599,
        0.119319,
        0.122608,
        0.129323,
        0.135462,
        0.138609,
        0.139738,
        0.140519,
        0.139457,
        0.138512,
        0.137962,
        0.139534,
        0.142623,
        0.160971,
        0.166329,
        0.157526,
        0.166321,
        0.176871,
        0.192215,
        0.210312,
        0.230656,
        0.259309,
        0.30752,
        0.363524,
        0.442045,
        0.578899,
        0.791386,
        1.08866,
        1.40986,
        0.351259,
        0.337935,
        0.336469,
        0.351284,
        0.375576,
        0.407272,
        0.431621,
        0.450236,
        0.479743,
        0.523535,
        0.591922,
        0.641121,
        0.513169,
        0.448569,
        0.397016,
        0.354745,
        0.318801,
        0.290455,
        0.263228,
        0.236231,
        0.21238,
        0.196556,
        0.182509,
        0.168546,
        0.16174,
        0.15492,
        0.150145,
        0.146953,
        0.144349,
        0.141853,
        0.142408,
        0.143001,
        0.145369,
        0.148641,
        0.149566,
        0.149801,
        0.1461,
        0.142904,
        0.139104,
        0.135559,
        0.133075,
        0.132713,
        0.130453,
        0.126463,
        0.129511,
        0.133479,
        0.130683,
        0.122653,
        0.1218,
        0.12177,
        0.127362,
        0.130945,
        0.123383,
        0.124419,
        0.125715,
        0.128213,
        0.131418,
        0.139127,
        0.141707,
        0.135186,
        0.132977,
        0.128403,
        0.12396,
        0.124117,
        0.121925,
        0.118317,
        0.116681,
        0.11565,
        0.115147,
        0.116254,
        0.119276,
        0.118178,
        0.11556,
        0.116365,
        0.116147,
        0.116164,
        0.115962,
        0.115306,
        0.115403,
        0.115806,
        0.115373,
        0.11626,
        0.116281,
        0.11565,
        0.116156,
        0.116483,
        0.127887,
        0.133294,
        0.122747,
        0.121498,
        0.123587,
        0.126032,
        0.128,
        0.128572,
        0.129864,
        0.136963,
        0.135169,
        0.129407,
        0.13108,
        0.131954,
        0.133634,
        0.137039,
        0.13911,
        0.141304,
        0.145051,
        0.150318,
        0.156464,
        0.162583,
        0.170853,
        0.181594,
        0.19322,
        0.208133,
        0.232907,
        0.260416,
        0.294156,
        0.347499,
        0.434763,
        0.567706,
        1.01928,
        0.627604,
        0.488306,
        0.443618,
        0.407721,
        0.354549,
        0.307989,
        0.268582,
        0.237867,
        0.216931,
        0.201723,
        0.192346,
        0.181463,
        0.17301,
        0.168586,
        0.167714,
        0.16711,
        0.165919,
        0.162491,
        0.159012,
        0.158574,
        0.155994,
        0.154277,
        0.154517,
        0.153836,
        0.15217,
        0.150992,
        0.152857,
        0.151127,
        0.146652,
        0.143292,
        0.140821,
        0.139616,
        0.140725,
        0.14095,
        0.140364,
        0.142597,
        0.143025,
        0.142219,
        0.14507,
        0.147219,
        0.14768,
        0.148647,
        0.150567,
        0.153999,
        0.155674,
        0.157711,
        0.161009,
        0.164997,
        0.169658,
        0.176761,
        0.181807,
        0.191463,
        0.200093,
        0.214743,
        0.229973,
        0.249327,
        0.27445,
        0.303379,
        0.362978,
        0.432682,
        0.503851,
        0.634352,
        0.838716,
        1.22706,
        7.25565,
        1.64024,
        0.495027,
        0.405525,
        0.344846,
        0.303052,
        0.274995,
        0.250889,
        0.230828,
        0.216745,
        0.204551,
        0.195278,
        0.194982,
        0.188034,
        0.17455,
        0.168838,
        0.167237,
        0.165209,
        0.163138,
        0.162713,
        0.15975,
        0.165043,
        0.171222,
        0.163245,
        0.157784,
        0.157228,
        0.156112,
        0.166028,
        0.173576,
        0.166432,
        0.170922,
        0.172682,
        0.176698,
        0.181545,
        0.190986,
        0.204641,
        0.215638,
        0.225337,
        0.245312,
        0.26933,
        0.301031,
        0.342636,
        0.395495,
        0.449028,
        0.495911,
        0.547124,
        0.613098,
        0.703603,
        1.00458,
        1.24846,
        1.14018,
        0.921322,
        0.707371,
        0.544426,
        0.444295,
        0.373526,
        0.318196,
        0.277697,
        0.249502,
        0.225766,
        0.207656,
        0.195367,
        0.183926,
        0.174667,
        0.165709,
        0.158794,
        0.156427,
        0.151521,
        0.16495,
        0.163698,
        0.144691,
        0.1417,
        0.13978,
        0.138571,
        0.137168,
        0.14072,
        0.138859,
        0.135215,
        0.137352,
        0.144837,
        0.149087,
        0.147454,
        0.138583,
        0.138859,
        0.137329,
        0.141736,
        0.142264,
        0.140011,
        0.141644,
        0.142217,
        0.154337,
        0.154298,
        0.145894,
        0.146477,
        0.147185,
        0.147811,
        0.147201,
        0.147511,
        0.147114,
        0.145909,
        0.144427,
        0.14191,
        0.140158,
        0.138506,
        0.13818,
        0.137212,
        0.13728,
        0.137292,
        0.136229,
        0.137373,
        0.138114,
        0.137508,
        0.138871,
        0.138997,
        0.137897,
        0.13633,
        0.134951,
        0.133504,
        0.131771,
        0.132375,
        0.129695,
        0.132737,
        0.131261,
        0.12655,
        0.125062,
        0.123218,
        0.129777,
        0.129695,
        0.12408,
        0.123863,
        0.123344,
        0.124429,
        0.124302,
        0.124768,
        0.124619,
        0.125709,
        0.126569,
        0.127187,
        0.127128,
        0.12767,
        0.129323,
        0.131769,
        0.133618,
        0.135121,
        0.135432,
        0.137633,
        0.138937,
        0.139776,
        0.142164,
        0.144821,
        0.147375,
        0.150925,
        0.153705,
        0.160678,
        0.16794,
        0.175526,
        0.183998,
        0.187596,
        0.201127,
        0.20486,
        0.199834,
        0.207524,
        0.217028,
        0.228522,
        0.248082,
        0.27457,
        0.306248,
        0.327644,
        0.331523,
        0.326031,
        0.319574,
        0.319284,
        0.321301,
        0.329735,
        0.342811,
        0.349654,
        0.357591,
        0.353588,
        0.346795,
        0.351503,
        0.372157,
        0.397295,
        0.448679,
        0.535309,
        0.631415,
        0.677455,
        0.540716,
        0.437582,
        0.359817,
        0.305545,
        0.265053,
        0.236569,
        0.217834,
        0.202352,
        0.189696,
        0.181611,
        0.172923,
        0.165133,
        0.161059,
        0.157052,
        0.154958,
        0.151296,
        0.149815,
        0.150361,
        0.148686,
        0.151546,
        0.149436,
        0.153623,
        0.152647,
        0.148485,
        0.149831,
        0.150099,
        0.148277,
        0.146701,
        0.14608,
        0.148599,
        0.146456,
        0.141681,
        0.141527,
        0.142397,
        0.143136,
        0.142012,
        0.143332,
        0.145173,
        0.151175,
        0.153915,
        0.146972,
        0.148404,
        0.147819,
        0.146657,
        0.148005,
        0.146817,
        0.142485,
        0.140656,
        0.139288,
        0.137891,
        0.13723,
        0.137067,
        0.136959,
        0.13526,
        0.135136,
        0.134092,
        0.133591,
        0.132533,
        0.133533,
        0.133679,
        0.133399,
        0.132488,
        0.132527,
        0.131655,
        0.131734,
        0.13073,
        0.134429,
        0.134684,
        0.132961,
        0.132551,
        0.132042,
        0.133809,
        0.138671,
        0.143972,
        0.13944,
        0.135042,
        0.135874,
        0.151776,
        0.153539,
        0.141305,
        0.142353,
        0.14405,
        0.148923,
        0.153332,
        0.156674,
        0.162267,
        0.167196,
        0.171615,
        0.172403,
        0.171146,
        0.170187,
        0.170257,
        0.169978,
        0.169813,
        0.175548,
        0.181604,
        0.184139,
        0.185832,
        0.186889,
        0.192825,
        0.19687,
        0.20156,
        0.208088,
        0.21808,
        0.230183,
        0.24604,
        0.264096,
        0.280819,
        0.293835,
        0.29244,
        0.278096,
        0.272805,
        0.268111,
        0.270167,
        0.294807,
        0.302237,
        0.284312,
        0.276388,
        0.265085,
        0.251875,
        0.239262,
        0.224891,
        0.213405,
        0.209199,
        0.207278,
        0.201663,
        0.201785,
        0.205033,
        0.213117,
        0.222113,
        0.238203,
        0.256809,
        0.286455,
        0.330832,
        0.386287,
        0.459566,
        0.533615,
        0.596873,
        0.573647,
        0.516338,
        0.449796,
        0.378623,
        0.32651,
        0.291606,
        0.265269,
        0.243662,
        0.225057,
        0.211814,
        0.203199,
        0.195739,
        0.189871,
        0.187984,
        0.185776,
        0.18344,
        0.180126,
        0.180619,
        0.182579,
        0.181949,
        0.180684,
        0.180651,
        0.178204,
        0.17682,
        0.176411,
        0.174775,
        0.173076,
        0.172262,
        0.171749,
        0.171405,
        0.18761,
        0.187859,
        0.17089,
        0.171016,
        0.170616,
        0.169459,
        0.169176,
        0.16955,
        0.170456,
        0.170983,
        0.17097,
        0.169313,
        0.170058,
        0.170213,
        null,
        0.130646,
        0.12943,
        0.126111,
        0.123684,
        0.121291,
        0.119676,
        0.117969,
        0.117483,
        0.117754,
        0.121082,
        0.122181,
        0.12006,
        0.121081,
        0.121437,
        0.122377,
        0.124072,
        0.125377,
        0.126558,
        0.128978,
        0.131191,
        0.135181,
        0.141442,
        0.149231,
        0.15775,
        0.167058,
        0.177623,
        0.18911,
        0.197347,
        0.202392,
        0.203405,
        0.200417,
        0.19689,
        0.197105,
        0.203191,
        0.206223,
        0.204014,
        0.196634,
        0.188054,
        0.180198,
        0.167872,
        0.154226,
        0.149295,
        0.143348,
        0.134711,
        0.131493,
        0.128852,
        0.126838,
        0.124279,
        0.121793,
        0.120258,
        0.119004,
        0.119931,
        0.119266,
        0.119714,
        0.120425,
        0.121025,
        0.122548,
        0.122284,
        0.134527,
        0.130158,
        0.122259,
        0.123926,
        0.126791,
        0.130919,
        0.136936,
        0.145633,
        0.156107,
        0.171519,
        0.193318,
        0.223146,
        0.257502,
        0.282037,
        0.289049,
        0.274996,
        0.244787,
        0.216409,
        0.188549,
        0.174044,
        0.159687,
        0.146966,
        0.1395,
        0.13445,
        0.129965,
        0.128042,
        0.129112,
        0.127506,
        0.121444,
        0.120424,
        0.119312,
        0.117713,
        0.117312,
        0.117591,
        0.118011,
        0.118151,
        0.119841,
        0.120092,
        0.122629,
        0.125768,
        0.127897,
        0.128587,
        0.130805,
        0.13134,
        0.125843,
        0.124137,
        0.128562,
        0.125942,
        0.116565,
        0.114484,
        0.112776,
        0.112788,
        0.113629,
        0.115751,
        0.117254,
        0.117026,
        0.11798,
        0.115592,
        0.111133,
        0.108703,
        0.107263,
        0.106329,
        0.105672,
        0.10547,
        0.105283,
        0.105002,
        0.104743,
        0.104887,
        0.105343,
        0.106883,
        0.107634,
        0.108979,
        0.11082,
        0.112949,
        0.11576,
        0.120652,
        0.122992,
        0.127167,
        0.130904,
        0.140349,
        0.15191,
        0.157583,
        0.161627,
        0.164673,
        0.163796,
        0.15965,
        0.15631,
        0.159228,
        0.161663,
        0.161229,
        0.162178,
        0.158215,
        0.151906,
        0.144378,
        0.140248,
        0.134221,
        0.126886,
        0.123919,
        0.120439,
        0.117099,
        0.114633,
        0.111965,
        0.110154,
        0.107764,
        0.105865,
        0.104064,
        0.103011,
        0.102854,
        0.102828,
        0.103745,
        0.10611,
        0.107449,
        0.103681,
        0.103882,
        0.103762,
        0.104724,
        0.103528,
        0.103483,
        0.10469,
        0.105477,
        0.106561,
        0.107706,
        0.108596,
        0.110319,
        0.114023,
        0.117059,
        0.117469,
        0.121243,
        0.126109,
        0.134542,
        0.142119,
        0.14943,
        0.164439,
        0.185003,
        0.209622,
        0.231741,
        0.244195,
        0.240605,
        0.223361,
        0.204375,
        0.188001,
        0.174669,
        0.167559,
        0.164654,
        0.162903,
        0.161983,
        0.159696,
        0.155612,
        0.149494,
        0.146884,
        0.139708,
        0.127879,
        0.122515,
        0.118488,
        0.114882,
        0.112031,
        0.109804,
        0.107473,
        0.106834,
        0.105745,
        0.103483,
        0.103391,
        0.10301,
        0.101446,
        0.101435,
        0.101341,
        0.101582,
        0.104825,
        0.10468,
        0.102013,
        0.101749,
        0.102082,
        0.103248,
        0.104805,
        0.105306,
        0.10587,
        0.106928,
        0.108441,
        0.109745,
        0.110456,
        0.111828,
        0.114045,
        0.115452,
        0.117486,
        0.119822,
        0.121414,
        0.124507,
        0.12851,
        0.132364,
        0.138828,
        0.1428,
        0.149573,
        0.157403,
        0.165553,
        0.176018,
        0.19072,
        0.203945,
        0.213225,
        0.220323,
        0.229734,
        0.242605,
        0.2607,
        0.284647,
        0.32273,
        0.371871,
        0.450596,
        0.551031,
        0.694298,
        1.40223,
        1.11536,
        0.749672,
        0.419352,
        0.337768,
        0.288109,
        0.248614,
        0.224377,
        0.211137,
        0.195483,
        0.176731,
        0.166158,
        0.158104,
        0.153177,
        0.148474,
        0.147065,
        0.146599,
        0.147622,
        0.149243,
        0.150033,
        0.148781,
        0.145843,
        0.142282,
        0.139346,
        0.136798,
        0.134902,
        0.132182,
        0.130966,
        0.131163,
        0.131257,
        0.132179,
        0.134031,
        0.136507,
        0.141696,
        0.150404,
        0.159605,
        0.166132,
        0.16783,
        0.174575,
        0.186586,
        0.196128,
        0.211246,
        0.223691,
        0.221258,
        0.207895,
        0.189384,
        0.169459,
        0.154192,
        0.142801,
        0.132415,
        0.124151,
        0.118694,
        0.114739,
        0.111205,
        0.108416,
        0.105786,
        0.105282,
        0.105108,
        0.0997698,
        0.0992901,
        0.104242,
        0.100589,
        0.0969385,
        0.0967092,
        0.0956025,
        0.0948653,
        0.094703,
        0.0938757,
        0.0954726,
        0.096029,
        0.0936295,
        0.0936403,
        0.0938558,
        0.0941587,
        0.0945986,
        0.0954615,
        0.0984368,
        0.100763,
        0.0981269,
        0.0987853,
        0.0996851,
        0.0996677,
        0.0998644,
        0.100167,
        0.100366,
        0.10108,
        0.102496,
        0.104323,
        0.107022,
        0.109011,
        0.113538,
        0.118069,
        0.124006,
        0.130741,
        0.13615,
        0.138847,
        0.138491,
        0.139745,
        0.136453,
        0.12922,
        0.128196,
        0.129002,
        0.131927,
        0.132898,
        0.131672,
        0.12887,
        0.125624,
        0.121201,
        0.118724,
        0.116383,
        0.115248,
        0.115567,
        0.117327,
        0.118162,
        0.116098,
        0.113239,
        0.109308,
        0.105439,
        0.102908,
        0.0992475,
        0.0969686,
        0.095226,
        0.0961533,
        0.0965442,
        0.0972098,
        0.100376,
        0.0961231,
        0.0943829,
        0.094668,
        0.0953354,
        0.0963403,
        0.0971916,
        0.0984293,
        0.0991842,
        0.0999011,
        0.100852,
        0.103765,
        0.106183,
        0.108253,
        0.111143,
        0.115991,
        0.120824,
        0.126444,
        0.131473,
        0.137332,
        0.142511,
        0.146644,
        0.150905,
        0.156483,
        0.164365,
        0.177532,
        0.193937,
        0.213937,
        0.235019,
        0.254146,
        0.271556,
        0.285453,
        0.272895,
        0.242555,
        0.22109,
        0.199275,
        0.180547,
        0.170269,
        0.163316,
        0.158388,
        0.159582,
        0.165606,
        0.17116,
        0.179982,
        0.182167,
        0.174899,
        0.16292,
        0.157463,
        0.144158,
        0.126996,
        0.119346,
        0.113466,
        0.10756,
        0.103048,
        0.101072,
        0.100053,
        0.0991638,
        0.0976388,
        0.0962841,
        0.0959867,
        0.095749,
        0.09601,
        0.095952,
        0.0962386,
        0.095505,
        0.0953012,
        0.0956749,
        0.10148,
        0.102157,
        0.0959293,
        0.0975811,
        0.0986913,
        0.101729,
        0.103735,
        0.101648,
        0.103344,
        0.105478,
        0.106725,
        0.108797,
        0.111415,
        0.114945,
        0.123617,
        0.128405,
        0.13142,
        0.133526,
        0.134937,
        0.135191,
        0.133349,
        0.131678,
        0.135668,
        0.135056,
        0.12911,
        0.120022,
        0.116572,
        0.117129,
        0.116904,
        0.123245,
        0.12313,
        0.11745,
        0.115225,
        0.109442,
        0.103287,
        0.0985114,
        0.0950686,
        0.0928475,
        0.0912324,
        0.0898014,
        0.0914799,
        0.0872275,
        0.086786,
        0.0872557,
        0.0876221,
        0.087638,
        0.086827,
        0.0851716,
        0.0850782,
        0.0855601,
        0.0866337,
        0.085177,
        0.0895001,
        0.0900332,
        0.087472,
        0.0889578,
        0.0900147,
        0.0914736,
        0.0940924,
        0.0960402,
        0.0974195,
        0.0991682,
        0.105504,
        0.103937,
        0.0996778,
        0.0999507,
        0.0988921,
        0.0946246,
        0.0976541,
        0.0956322,
        0.090561,
        0.0892652,
        0.0893978,
        0.0890402,
        0.0893899,
        0.0885825,
        0.0862335,
        0.0859632,
        0.0862905,
        0.0858242,
        0.0851236,
        0.0851975,
        0.0854397,
        0.085409,
        0.0853032,
        0.084649,
        0.0849375,
        0.0850933,
        0.0853857,
        0.0851588,
        0.0853555,
        0.0857597,
        0.086513,
        0.0868522,
        0.0870921,
        0.0903136,
        0.0916542,
        0.0916671,
        0.0944639,
        0.0975036,
        0.101535,
        0.106127,
        0.112735,
        0.122785,
        0.132146,
        0.147314,
        0.151245,
        0.150009,
        0.153248,
        0.144886,
        0.143465,
        0.143694,
        0.137809,
        0.138581,
        0.133796,
        0.12293,
        0.118418,
        0.111011,
        0.108155,
        0.105682,
        0.104339,
        0.103091,
        0.102188,
        0.10053,
        0.0998968,
        0.100605,
        0.103086,
        0.100701,
        0.0967922,
        0.0972,
        0.0976186,
        0.0977169,
        0.097385,
        0.0978588,
        0.0985118,
        0.0995835,
        0.101123,
        0.103544,
        0.106889,
        0.10966,
        0.112337,
        0.114858,
        0.116074,
        0.117503,
        0.114606,
        0.11248,
        0.120671,
        0.119323,
        0.112827,
        0.114498,
        0.11686,
        0.117109,
        0.119383,
        0.118847,
        0.113502,
        0.111027,
        0.109342,
        0.108491,
        0.107337,
        0.105242,
        0.10625,
        0.107214,
        0.109919,
        0.111553,
        0.113017,
        0.115689,
        0.121599,
        0.125965,
        0.128787,
        0.134151,
        0.142827,
        0.151826,
        0.162039,
        0.17359,
        0.187647,
        0.205861,
        0.227396,
        0.254792,
        0.295685,
        0.357752,
        0.471162,
        0.626884,
        11.7584,
        6.73053,
        0.767326,
        0.550167,
        0.419655,
        0.337318,
        0.283719,
        0.24644,
        0.216331,
        0.196704,
        0.178445,
        0.175333,
        0.163683,
        0.150511,
        0.146418,
        0.142293,
        0.139859,
        0.139798,
        0.147659,
        0.150042,
        0.142035,
        0.137419,
        0.131508,
        0.126367,
        0.125589,
        0.120628,
        0.110951,
        0.106861,
        0.105527,
        0.105124,
        0.101654,
        0.100313,
        0.0989317,
        0.097858,
        0.0977996,
        0.0985994,
        0.10629,
        0.10626,
        0.0998809,
        0.110475,
        0.112942,
        0.10962,
        0.114202,
        0.120127,
        0.12435,
        0.128943,
        0.13271,
        0.133531,
        0.13132,
        0.123903,
        0.117361,
        0.110565,
        0.106267,
        0.107844,
        0.103308,
        0.0976311,
        0.0953297,
        0.0939255,
        0.0937283,
        0.092617,
        0.0915868,
        0.0912334,
        0.0908227,
        0.0905585,
        0.0923586,
        0.0936756,
        0.0924737,
        0.0916842,
        0.0939597,
        0.0955612,
        0.0991927,
        0.101903,
        0.110568,
        0.110118,
        0.101704,
        0.100104,
        0.0991205,
        0.0980275,
        0.0974084,
        0.100176,
        0.101716,
        0.100441,
        0.10982,
        0.11093,
        0.100483,
        0.0995704,
        0.0969547,
        0.0941445,
        0.0950794,
        0.0948322,
        0.0911355,
        0.0903347,
        0.0905922,
        0.0913022,
        0.0919392,
        0.0969683,
        0.0976749,
        0.0929251,
        0.0928437,
        0.0929169,
        0.0917338,
        0.0920654,
        0.0912259,
        0.0900386,
        0.089929,
        0.08847,
        0.0871162,
        0.0873906,
        0.0881898,
        0.0882861,
        0.0880548,
        0.0895483,
        0.090523,
        0.0911068,
        0.09664,
        0.0941818,
        0.0945906,
        0.0985686,
        0.104023,
        0.108231,
        0.1137,
        0.110436,
        0.106954,
        0.102357,
        0.0975998,
        0.0941116,
        0.0918561,
        0.0902978,
        0.0913191,
        0.0906895,
        0.0870719,
        0.0852891,
        0.0838637,
        0.0834647,
        0.0826643,
        0.0819819,
        0.0820069,
        0.0821934,
        0.0818775,
        0.0817235,
        0.0813871,
        0.0816895,
        0.0817848,
        0.0813619,
        0.0812085,
        0.0807645,
        0.0820568,
        0.0809885,
        0.0803409,
        0.0804736,
        0.0807226,
        0.086572,
        0.0859114,
        0.0829382,
        0.083539,
        0.0841806,
        0.085475,
        0.0860076,
        0.0852467,
        0.08512,
        0.0846588,
        0.0843328,
        0.0843223,
        0.0839236,
        0.0848173,
        0.0851941,
        0.0865521,
        0.0885727,
        0.0864697,
        0.0864966,
        0.0877899,
        0.0883205,
        0.0893942,
        0.0917104,
        0.0951373,
        0.0987249,
        0.100534,
        0.107518,
        0.113544,
        0.11676,
        0.118112,
        0.115883,
        0.112935,
        0.109294,
        0.104459,
        0.10085,
        0.0979728,
        0.0953623,
        0.093909,
        0.0940738,
        0.092862,
        0.0927113,
        0.0937066,
        0.0945828,
        0.0971228,
        0.099737,
        0.103176,
        0.107152,
        0.11117,
        0.113905,
        0.117782,
        0.119135,
        0.119713,
        0.12411,
        0.121643,
        0.113207,
        0.11396,
        0.111391,
        0.109375,
        0.108591,
        0.107977,
        0.115109,
        0.111925,
        0.102351,
        0.101527,
        0.101597,
        0.102316,
        0.10376,
        0.105655,
        0.108553,
        0.113988,
        0.116445,
        0.117222,
        0.115865,
        0.108495,
        0.103258,
        0.0997828,
        0.0971855,
        0.0953285,
        0.0934829,
        0.0958008,
        0.0942267,
        0.091602,
        0.0913179,
        0.0890025,
        0.0880061,
        0.0902851,
        0.0902476,
        0.0864403,
        0.0851004,
        0.0847608,
        0.0853865,
        0.0912503,
        0.0903925,
        0.0851367,
        0.0836873,
        0.0857463,
        0.0860805,
        0.0836683,
        0.0829023,
        0.083156,
        0.0831548,
        0.0894734,
        0.0890005,
        0.0824238,
        0.0858608,
        0.0852951,
        0.0818229,
        0.0846472,
        0.0844766,
        0.0820318,
        0.0828008,
        0.0852314,
        0.0828388,
        0.0815135,
        0.0904891,
        0.0915197,
        0.0883723,
        0.0865752,
        0.0839612,
        0.0843054,
        0.0847329,
        0.0860485,
        0.0841872,
        0.0838306,
        0.0844506,
        0.0843453,
        0.0851995,
        0.0895478,
        0.0883146,
        0.0873648,
        0.0876479,
        0.0871867,
        0.0847764,
        0.085484,
        0.0912799,
        0.0983247,
        0.0917559,
        0.0860962,
        0.0855048,
        0.0858073,
        0.0855975,
        0.0846623,
        0.0900194,
        0.0918407,
        0.0928301,
        0.0911573,
        0.0918313,
        0.088115,
        0.0886917,
        0.0892771,
        0.0873433,
        0.0952664,
        0.101245,
        0.0946523,
        0.0911126,
        0.09237,
        0.0932181,
        0.0955401,
        0.0951746,
        0.096781,
        0.0999816,
        0.104223,
        0.10927,
        0.113723,
        0.117652,
        0.119686,
        0.118941,
        0.119007,
        0.119649,
        0.120351,
        0.12338,
        0.128863,
        0.134374,
        0.138746,
        0.140197,
        0.137734,
        0.13152,
        0.123806,
        0.120439,
        0.116364,
        0.111612,
        0.111019,
        0.115197,
        0.112554,
        0.111807,
        0.111756,
        0.116168,
        0.112038,
        0.105606,
        0.10533,
        0.103116,
        0.100757,
        0.0995459,
        0.101732,
        0.101022,
        0.0959951,
        0.0962746,
        0.0967383,
        0.0955125,
        0.0956617,
        0.0961119,
        0.0957637,
        0.0965916,
        0.0989244,
        0.0987224,
        0.0960152,
        0.0964248,
        0.097019,
        0.0977246,
        0.0979569,
        0.0985302,
        0.10166,
        0.104751,
        0.103351,
        0.1037,
        0.105515,
        0.103139,
        0.103388,
        0.104146,
        0.108736,
        0.112798,
        0.112969,
        0.112226,
        0.113371,
        0.117411,
        0.124051,
        0.138032,
        0.141276,
        0.132665,
        0.135713,
        0.144229,
        0.157443,
        0.16107,
        0.171629,
        0.189403,
        0.209042,
        0.234465,
        0.272027,
        0.323038,
        0.4012,
        1.15471,
        1.93848,
        0.414208,
        0.325655,
        0.280891,
        0.245736,
        0.224542,
        0.20256,
        0.183983,
        0.179434,
        0.181591,
        0.166368,
        0.152337,
        0.146917,
        0.134959,
        0.130558,
        0.126425,
        0.123335,
        0.123702,
        0.123328,
        0.121753,
        0.122632,
        0.124696,
        0.128624,
        0.133236,
        0.135431,
        0.123965,
        0.117572,
        0.112794,
        0.110413,
        0.108882,
        0.109552,
        0.108817,
        0.105218,
        0.103571,
        0.104286,
        0.104677,
        0.108351,
        0.107778,
        0.105598,
        0.106015,
        0.112499,
        0.113841,
        0.113079,
        0.114551,
        0.117849,
        0.122704,
        0.127969,
        0.12559,
        0.131499,
        0.131806,
        0.114264,
        0.110005,
        0.106961,
        0.104993,
        0.105002,
        0.107723,
        0.105071,
        0.101384,
        0.104357,
        0.102745,
        0.102644,
        0.100913,
        0.0955233,
        0.0994374,
        0.0959727,
        0.091221,
        0.090095,
        0.0890534,
        0.0887385,
        0.0887134,
        0.0885431,
        0.0883828,
        0.0885542,
        0.0869743,
        0.0868814,
        0.0864757,
        0.0881834,
        0.0873755,
        0.088159,
        0.0894009,
        0.0887106,
        0.0862905,
        0.0847161,
        0.0848226,
        0.0860739,
        0.0856328,
        0.0843301,
        0.0841386,
        0.0841286,
        0.0843742,
        0.0847767,
        0.0843131,
        0.0830632,
        0.0829362,
        0.0828783,
        0.0821499,
        0.0823445,
        0.086746,
        0.0895217,
        0.0860413,
        0.0851654,
        0.0835002,
        0.0832884,
        0.0900137,
        0.0899777,
        0.0842786,
        0.0834822,
        0.083658,
        0.0834431,
        0.0834741,
        0.0839683,
        0.0838928,
        0.0841788,
        0.0845086,
        0.0839811,
        0.0836645,
        0.0862389,
        0.0861991,
        0.0862401,
        0.0900479,
        0.0904266,
        0.0892738,
        0.0915402,
        0.104218,
        0.104877,
        0.0985642,
        0.103363,
        0.109432,
        0.112738,
        0.114434,
        0.113328,
        0.109166,
        0.103942,
        0.0999355,
        0.096884,
        0.0942231,
        0.092862,
        0.0918121,
        0.0920195,
        0.0903112,
        0.0897906,
        0.0931767,
        0.0912927,
        0.086834,
        0.0866831,
        0.0886561,
        0.089102,
        0.0862653,
        0.0855621,
        0.0858485,
        0.0863269,
        0.0865062,
        0.086802,
        0.0877858,
        0.0913383,
        0.0917033,
        0.088891,
        0.0891572,
        0.0924243,
        0.093124,
        0.0897145,
        0.0889799,
        0.0889676,
        0.0890345,
        0.0884379,
        0.0877812,
        0.0876353,
        0.0887224,
        0.0889115,
        0.0895897,
        0.0905966,
        0.0918441,
        0.0947777,
        0.0969863,
        0.0971948,
        0.0988645,
        0.100092,
        0.0991627,
        0.0988944,
        0.0987397,
        0.101959,
        0.103778,
        0.106534,
        0.108478,
        0.104976,
        0.108276,
        0.112339,
        0.115403,
        0.116284,
        0.113794,
        0.111412,
        0.108801,
        0.104958,
        0.103117,
        0.101275,
        0.0981405,
        0.0955137,
        0.094444,
        0.0937368,
        0.0937007,
        0.0935224,
        0.0923495,
        0.0918895,
        0.0915317,
        0.0934458,
        0.0942138,
        0.0916063,
        0.090878,
        0.0901691,
        0.0916267,
        0.0921564,
        0.0929007,
        0.0940376,
        0.0949899,
        0.0949285,
        0.0933065,
        0.0925511,
        0.0913458,
        0.092131,
        0.0982604,
        0.0974822,
        0.0931602,
        0.0947149,
        0.0964718,
        0.0974258,
        0.0988185,
        0.102287,
        0.10444,
        0.105077,
        0.109229,
        0.114208,
        0.119476,
        0.127434,
        0.137897,
        0.154218,
        0.177728,
        0.213968,
        0.252085,
        0.287325,
        0.33965,
        0.366302,
        0.351459,
        0.324717,
        0.288621,
        0.242856,
        0.216802,
        0.185665,
        0.161212,
        0.145736,
        0.134884,
        0.126177,
        0.120459,
        0.115221,
        0.11115,
        0.109545,
        0.108078,
        0.105987,
        0.104276,
        0.103103,
        0.10225,
        0.10063,
        0.0987669,
        0.0986653,
        0.0974749,
        0.0969328,
        0.0967143,
        0.0962273,
        0.0961894,
        0.0954449,
        0.0952411,
        0.0942324,
        0.0945225,
        0.0966999,
        0.0962901,
        0.0928277,
        0.0930164,
        0.0926428,
        0.0928459,
        0.0988963,
        0.108942,
        0.101074,
        0.101783,
        0.100359,
        0.100846,
        0.0964919,
        0.108528,
        0.104825,
        0.0944861,
        0.0937726,
        0.0942561,
        0.0940262,
        0.0950792,
        0.0963603,
        0.0978524,
        0.100762,
        0.10294,
        0.10596,
        0.109602,
        0.115348,
        0.126025,
        0.138518,
        0.144459,
        0.153419,
        0.163044,
        0.166933,
        0.169892,
        0.1649,
        0.152713,
        0.142132,
        0.133455,
        0.126502,
        0.123491,
        0.119563,
        0.115479,
        0.112069,
        0.110484,
        0.109116,
        0.107784,
        0.108307,
        0.109364,
        0.110153,
        0.116792,
        0.116411,
        0.112774,
        0.11366,
        0.115287,
        0.113982,
        0.11191,
        0.111772,
        0.113074,
        0.113835,
        0.115886,
        0.114014,
        0.111246,
        0.109469,
        0.10787,
        0.108858,
        0.108529,
        0.108156,
        0.108016,
        0.10593,
        0.108737,
        0.109743,
        0.110847,
        0.114513,
        0.121858,
        0.126405,
        0.127408,
        0.129434,
        0.127356,
        0.125409,
        0.122349,
        0.11556,
        0.111169,
        0.109017,
        0.108097,
        0.107737,
        0.102908,
        0.102604,
        0.101949,
        0.101719,
        0.106555,
        0.107204,
        0.102086,
        0.103095,
        0.103294,
        0.103374,
        0.104006,
        0.104603,
        0.106676,
        0.109317,
        0.107867,
        0.107508,
        0.108506,
        0.109814,
        0.110477,
        0.111716,
        0.117526,
        0.119252,
        0.115832,
        0.117237,
        0.119092,
        0.122088,
        0.124585,
        0.127772,
        0.134664,
        0.136501,
        0.133677,
        0.137538,
        0.140957,
        0.143764,
        0.147553,
        0.153517,
        0.158482,
        0.16404,
        0.171241,
        0.185289,
        0.202533,
        0.218077,
        0.234477,
        0.260013,
        0.296965,
        0.345626,
        0.411309,
        0.513194,
        1.38675,
        2.27513,
        1.06666,
        0.779948,
        0.599771,
        0.485165,
        0.40803,
        0.355952,
        0.286792,
        0.281117,
        0.269313,
        0.261218,
        0.256578,
        0.251225,
        0.259253,
        0.273617,
        0.297496,
        0.333481,
        0.392514,
        0.490303,
        0.651533,
        0.968638,
        1.01987,
        0.698887,
        0.327162,
        0.28112,
        0.252009,
        0.229361,
        0.214864,
        0.203606,
        0.198406,
        0.191972,
        0.189125,
        0.191147,
        0.197117,
        0.191281,
        0.177493,
        0.169602,
        0.159111,
        0.149561,
        0.143029,
        0.136876,
        0.133065,
        0.129325,
        0.126904,
        0.12763,
        0.125482,
        0.122076,
        0.121483,
        0.121437,
        0.121891,
        0.122677,
        0.12411,
        0.121839,
        0.119414,
        0.118551,
        0.117334,
        0.114738,
        0.112068,
        0.114435,
        0.113174,
        0.108714,
        0.109433,
        0.108241,
        0.107922,
        0.107542,
        0.106252,
        0.106588,
        0.106843,
        0.106886,
        0.107568,
        0.107678,
        0.107695,
        0.107607,
        0.10752,
        0.107176,
        0.107849,
        0.109081,
        0.111531,
        0.112919,
        0.110302,
        0.109146,
        0.11233,
        0.111441,
        0.10763,
        0.108301,
        0.107903,
        0.108476,
        0.108444,
        0.108068,
        0.107756,
        0.107828,
        0.10848,
        0.112008,
        0.111474,
        0.108202,
        0.109759,
        0.108177,
        0.108442,
        0.109117,
        0.108996,
        0.108523,
        0.107425,
        0.106276,
        0.106681,
        0.107543,
        0.108598,
        0.11297,
        0.111101,
        0.107668,
        0.107954,
        0.107838,
        0.106716,
        0.105626,
        0.105874,
        0.105809,
        0.10596,
        0.106517,
        0.106512,
        0.106755,
        0.10688,
        0.106721,
        0.107495,
        0.107232,
        0.109263,
        0.111522,
        0.112643,
        0.114099,
        0.116223,
        0.119233,
        0.120343,
        0.122802,
        0.124951,
        0.128374,
        0.132296,
        0.135936,
        0.151819,
        0.15298,
        0.140718,
        0.138883,
        0.137627,
        0.137148,
        0.142684,
        0.142885,
        0.137978,
        0.137986,
        0.139116,
        0.144321,
        0.149289,
        0.149998,
        0.147847,
        0.146747,
        0.142473,
        0.13679,
        0.132405,
        0.129221,
        0.126492,
        0.12662,
        0.128649,
        0.125175,
        0.122345,
        0.120697,
        0.119133,
        0.117837,
        0.116863,
        0.115764,
        0.115287,
        0.115289,
        0.117187,
        0.11675,
        0.115845,
        0.115676,
        0.1154,
        0.114518,
        0.11422,
        0.113748,
        0.114333,
        0.112665,
        0.112127,
        0.111611,
        0.111781,
        0.110529,
        0.109927,
        0.110188,
        0.10981,
        0.109302,
        0.108856,
        0.109454,
        0.111836,
        0.112599,
        0.11094,
        0.112355,
        0.116856,
        0.117367,
        0.113913,
        0.113318,
        0.115167,
        0.119689,
        0.12339,
        0.122699,
        0.122688,
        0.122078,
        0.123195,
        0.122372,
        0.121843,
        0.121027,
        0.11984,
        0.118703,
        0.118217,
        0.117834,
        0.118265,
        0.118471,
        0.118079,
        0.118436,
        0.118805,
        0.119465,
        0.120404,
        0.120656,
        0.122473,
        0.123134,
        0.122237,
        0.122342,
        0.125443,
        0.12497,
        0.121543,
        0.120104,
        0.118274,
        0.117446,
        0.116334,
        0.11595,
        0.115883,
        0.115361,
        0.11464,
        0.120871,
        0.120033,
        0.113459,
        0.113061,
        0.113449,
        0.12597,
        0.125974,
        0.115036,
        0.113293,
        0.113413,
        0.113009,
        0.112603,
        0.112572,
        0.111995,
        0.113805,
        0.119888,
        0.116311,
        0.113077,
        0.112656,
        0.113691,
        0.114383,
        0.115558,
        0.115887,
        0.117539,
        0.119085,
        0.12471,
        0.129763,
        0.13456,
        0.137534,
        0.136498,
        0.14165,
        0.145771,
        0.148529,
        0.147677,
        0.144648,
        0.141154,
        0.138006,
        0.133524,
        0.132196,
        0.132905,
        0.130021,
        0.12553,
        0.124947,
        0.124663,
        0.125416,
        0.145901,
        0.14282,
        0.124655,
        0.122586,
        0.121998,
        0.12255,
        0.12396,
        0.12398,
        0.123452,
        0.121896,
        0.121273,
        0.124497,
        0.123162,
        0.119804,
        0.119066,
        0.118903,
        0.119564,
        0.120214,
        0.12081,
        0.120583,
        0.120635,
        0.121329,
        0.122837,
        0.123625,
        0.127513,
        0.124406,
        0.118787,
        0.117416,
        0.118017,
        0.118241,
        0.119363,
        0.11958,
        0.125073,
        0.126241,
        0.121957,
        0.123219,
        0.122669,
        0.122542,
        0.123289,
        0.123704,
        0.122115,
        0.120822,
        0.121002,
        0.120979,
        0.122344,
        0.122215,
        0.120774,
        0.121017,
        0.120616,
        0.120946,
        0.120631,
        0.120468,
        0.121959,
        0.121404,
        0.121412,
        0.121482,
        0.12646,
        0.126511,
        0.123628,
        0.124242,
        0.125267,
        0.125149,
        0.125581,
        0.126141,
        0.125889,
        0.125683,
        0.126094,
        0.125997,
        0.126119,
        0.128629,
        0.12958,
        0.129295,
        0.130986,
        0.131322,
        0.131623,
        0.131956,
        0.140667,
        0.151789,
        0.144927,
        0.131253,
        0.128199,
        0.128701,
        0.128833,
        0.126902,
        0.125652,
        0.126192,
        0.130729,
        0.129805,
        0.12723,
        0.128137,
        0.129101,
        0.129498,
        0.128687,
        0.129789,
        0.129677,
        0.132045,
        0.133726,
        0.134973,
        0.135318,
        0.136294,
        0.139221,
        0.144234,
        0.15093,
        0.160073,
        0.16529,
        0.164992,
        0.167522,
        0.178756,
        0.166673,
        0.154932,
        0.151611,
        0.149267,
        0.14748,
        0.146439,
        0.147291,
        0.151045,
        0.151733,
        0.150953,
        0.151826,
        0.153282,
        0.154563,
        0.156741,
        0.174159,
        0.179238,
        0.163056,
        0.165311,
        0.177754,
        0.183756,
        0.177935,
        0.180949,
        0.189546,
        0.19611,
        0.202878,
        0.212058,
        0.223514,
        0.235386,
        0.253629,
        0.278267,
        0.307647,
        0.345627,
        0.387291,
        0.443993,
        0.536418,
        0.688061,
        0.990092,
        1.95597,
        0.473295,
        0.404393,
        0.350563,
        0.311055,
        0.288352,
        0.268359,
        0.251887,
        0.236566,
        0.22745,
        0.221072,
        0.22495,
        0.213696,
        0.197474,
        0.192368,
        0.18803,
        0.184482,
        0.182127,
        0.180883,
        0.177192,
        0.175165,
        0.171224,
        0.167816,
        0.167111,
        0.164632,
        0.162064,
        0.161713,
        0.160595,
        0.156587,
        0.155269,
        0.154042,
        0.153237,
        0.153194,
        0.152353,
        0.151172,
        0.154753,
        0.154111,
        0.150445,
        0.165184,
        0.159599,
        0.149973,
        0.150492,
        0.148517,
        0.14913,
        0.1503,
        0.148915,
        0.148715,
        0.148399,
        0.148583,
        0.147115,
        0.14584,
        0.158018,
        0.153536,
        0.144532,
        0.146048,
        0.146993,
        0.153277,
        0.152722,
        0.147184,
        0.148306,
        0.149674,
        0.153324,
        0.157197,
        0.159652,
        0.167268,
        0.186929,
        0.193419,
        0.182889,
        0.179882,
        0.174747,
        0.168344,
        0.16481,
        0.162804,
        0.158896,
        0.153125,
        0.150274,
        0.148556,
        0.144615,
        0.144457,
        0.145193,
        0.14722,
        0.146079,
        0.142706,
        0.141531,
        0.142883,
        0.142127,
        0.142432,
        0.142895,
        0.147771,
        0.148317,
        0.143517,
        0.145446,
        0.147915,
        0.149806,
        0.150284,
        0.147716,
        0.146963,
        0.147157,
        0.147319,
        null,
        0.105536,
        0.105809,
        0.105813,
        0.1058,
        0.105793,
        0.106033,
        0.105795,
        0.106318,
        0.10663,
        0.107779,
        0.107638,
        0.106675,
        0.107287,
        0.107356,
        0.107562,
        0.108349,
        0.109256,
        0.109846,
        0.110743,
        0.111183,
        0.111618,
        0.112329,
        0.112693,
        0.114103,
        0.115452,
        0.117105,
        0.119877,
        0.122569,
        0.126476,
        0.130061,
        0.13301,
        0.13228,
        0.129152,
        0.125055,
        0.120628,
        0.117131,
        0.114154,
        0.11155,
        0.109703,
        0.107853,
        0.106663,
        0.105341,
        0.105552,
        0.105082,
        0.103173,
        0.102739,
        0.102002,
        0.101363,
        0.101736,
        0.101517,
        0.100601,
        0.101457,
        0.101569,
        0.101437,
        0.102324,
        0.102481,
        0.103184,
        0.103976,
        0.104822,
        0.107017,
        0.103669,
        0.102979,
        0.102633,
        0.103093,
        0.103006,
        0.103244,
        0.104308,
        0.104763,
        0.10455,
        0.104999,
        0.105536,
        0.112403,
        0.112554,
        0.105534,
        0.105394,
        0.106389,
        0.107282,
        0.107876,
        0.107332,
        0.107441,
        0.107863,
        0.107972,
        0.108129,
        0.107293,
        0.107247,
        0.107243,
        0.1071,
        0.106851,
        0.107422,
        0.108289,
        0.109896,
        0.110755,
        0.120425,
        0.119832,
        0.108458,
        0.107844,
        0.107455,
        0.108127,
        0.108299,
        0.107212,
        0.107707,
        0.108222,
        0.108307,
        0.108649,
        0.108877,
        0.108853,
        0.109136,
        0.10865,
        0.108844,
        0.109053,
        0.108762,
        0.108808,
        0.109108,
        0.109684,
        0.110668,
        0.110712,
        0.111622,
        0.113008,
        0.114817,
        0.115246,
        0.116184,
        0.118266,
        0.120924,
        0.124048,
        0.127275,
        0.129981,
        0.134482,
        0.138687,
        0.142614,
        0.148864,
        0.156364,
        0.167698,
        0.179848,
        0.194276,
        0.20923,
        0.223935,
        0.236019,
        0.249688,
        0.265843,
        0.294626,
        0.334969,
        0.382262,
        0.474971,
        0.625353,
        0.908584,
        2.27084,
        1.38646,
        0.869725,
        0.617287,
        0.461051,
        0.366352,
        0.307236,
        0.263662,
        0.230078,
        0.203906,
        0.187764,
        0.173069,
        0.160873,
        0.151174,
        0.145898,
        0.14019,
        0.133476,
        0.129543,
        0.126099,
        0.122586,
        0.120104,
        0.11881,
        0.117096,
        0.115586,
        0.114387,
        0.11262,
        0.111915,
        0.110525,
        0.109564,
        0.107886,
        0.107341,
        0.106144,
        0.106182,
        0.105757,
        0.105295,
        0.104732,
        0.104502,
        0.104036,
        0.103519,
        0.10282,
        0.102452,
        0.102572,
        0.101444,
        0.101147,
        0.101683,
        0.101949,
        0.101301,
        0.100689,
        0.100562,
        0.10061,
        0.100075,
        0.100047,
        0.0996527,
        0.0988095,
        0.0980856,
        0.097579,
        0.0970636,
        0.0970463,
        0.0962155,
        0.0968975,
        0.097475,
        0.0961609,
        0.0954791,
        0.0952576,
        0.094698,
        0.0945372,
        0.0944484,
        0.0935623,
        0.0933625,
        0.092718,
        0.0935803,
        0.0938913,
        0.0941119,
        0.096872,
        0.0977895,
        0.0954541,
        0.0966279,
        0.0962744,
        0.0949913,
        0.0957572,
        0.0964478,
        0.0964477,
        0.0968589,
        0.0973483,
        0.0978087,
        0.0992712,
        0.100881,
        0.102743,
        0.105752,
        0.108879,
        0.114015,
        0.113884,
        0.11367,
        0.112274,
        0.109077,
        0.105889,
        0.107154,
        0.108055,
        0.101778,
        0.106151,
        0.105151,
        0.0992435,
        0.0984873,
        0.0976351,
        0.0966469,
        0.0963502,
        0.0962692,
        0.0961413,
        0.0954794,
        0.0951575,
        0.094296,
        0.0945291,
        0.0963264,
        0.0954384,
        0.0957645,
        0.0936455,
        0.0934612,
        0.0935207,
        0.0940401,
        0.0946133,
        0.094838,
        0.094537,
        0.0945,
        0.0937453,
        0.0930518,
        0.0921239,
        0.0915071,
        0.090699,
        0.0907116,
        0.0900028,
        0.0897472,
        0.0900709,
        0.0902028,
        0.0941079,
        0.093813,
        0.0905657,
        0.092034,
        0.0931155,
        0.0930417,
        0.0918813,
        0.0923039,
        0.0929728,
        0.0929084,
        0.0928206,
        0.0931053,
        0.095644,
        0.0978198,
        0.0943998,
        0.0941161,
        0.094486,
        0.0946078,
        0.0944108,
        0.095963,
        0.0960133,
        0.0942739,
        0.0941296,
        0.0941123,
        0.096701,
        0.09747,
        0.0945772,
        0.0977483,
        0.097109,
        0.0937678,
        0.0961149,
        0.0958635,
        0.0935628,
        0.0935416,
        0.0932461,
        0.0938919,
        0.0937491,
        0.094123,
        0.0940238,
        0.0939697,
        0.0935035,
        0.092929,
        0.0930587,
        0.0925292,
        0.0925337,
        0.0933563,
        0.0931452,
        0.0932341,
        0.0943723,
        0.0939788,
        0.0935807,
        0.100031,
        0.099204,
        0.0951938,
        0.0964515,
        0.097998,
        0.0992953,
        0.105291,
        0.108351,
        0.105406,
        0.10825,
        0.111434,
        0.114903,
        0.118798,
        0.126127,
        0.132943,
        0.137909,
        0.140929,
        0.143749,
        0.147805,
        0.154004,
        0.164911,
        0.175996,
        0.186542,
        0.204687,
        0.234864,
        0.277315,
        0.339588,
        0.436651,
        0.591267,
        0.799533,
        1.25285,
        1.21857,
        0.946018,
        0.50647,
        0.388764,
        0.309858,
        0.256888,
        0.222157,
        0.195496,
        0.176628,
        0.162027,
        0.149545,
        0.140699,
        0.133763,
        0.131342,
        0.126066,
        0.118813,
        0.114061,
        0.110817,
        0.108718,
        0.106682,
        0.104647,
        0.102568,
        0.10113,
        0.099581,
        0.0984644,
        0.0972082,
        0.0960024,
        0.104647,
        0.103593,
        0.0948344,
        0.0943459,
        0.0940465,
        0.0937542,
        0.093704,
        0.0942125,
        0.0944145,
        0.0935351,
        0.0934159,
        0.0933432,
        0.0922033,
        0.0917854,
        0.0951431,
        0.0953625,
        0.0978503,
        0.0976644,
        0.0917049,
        0.0926232,
        0.0927342,
        0.0930025,
        0.0927155,
        0.0926273,
        0.0929521,
        0.0926123,
        0.0924925,
        0.092533,
        0.0928171,
        0.0925105,
        0.0921673,
        0.0916638,
        0.091006,
        0.0909572,
        0.090459,
        0.090378,
        0.0902531,
        0.0894779,
        0.0897376,
        0.0900937,
        0.0905643,
        0.0909573,
        0.090587,
        0.0886398,
        0.0898452,
        0.0901002,
        0.0888407,
        0.0889909,
        0.0886502,
        0.087874,
        0.0883743,
        0.0884612,
        0.0879924,
        0.0873265,
        0.08732,
        0.0873918,
        0.0877324,
        0.0878215,
        0.088585,
        0.0888324,
        0.088982,
        0.0907979,
        0.0927708,
        0.0954122,
        0.0975946,
        0.0985804,
        0.0984296,
        0.0978464,
        0.0952685,
        0.0979171,
        0.0951469,
        0.0903669,
        0.0960741,
        0.0955456,
        0.0897575,
        0.0895925,
        0.0897084,
        0.0892701,
        0.0896337,
        0.0901164,
        0.0899873,
        0.0899417,
        0.0906612,
        0.090891,
        0.0911889,
        0.0899256,
        0.0898858,
        0.089957,
        0.0901318,
        0.0900661,
        0.0900082,
        0.0903491,
        0.0900871,
        0.0904769,
        0.0907089,
        0.0911302,
        0.0927225,
        0.0921273,
        0.0911045,
        0.091157,
        0.0905178,
        0.0912612,
        0.0919734,
        0.092531,
        0.0924166,
        0.0927426,
        0.0957692,
        0.0975255,
        0.0961217,
        0.0943795,
        0.0964399,
        0.0978262,
        0.0984004,
        0.0993943,
        0.101418,
        0.103562,
        0.105849,
        0.108553,
        0.111421,
        0.113791,
        0.114383,
        0.114907,
        0.115444,
        0.114533,
        0.111272,
        0.108376,
        0.106815,
        0.106224,
        0.106841,
        0.106572,
        0.104864,
        0.105207,
        0.105721,
        0.107055,
        0.108042,
        0.109011,
        0.11076,
        0.114667,
        0.117711,
        0.120106,
        0.12385,
        0.127436,
        0.131461,
        0.13865,
        0.146712,
        0.154866,
        0.166362,
        0.183769,
        0.206092,
        0.239558,
        0.285328,
        0.350073,
        0.462234,
        0.638556,
        0.91618,
        1.36282,
        1.2903,
        0.856753,
        0.334815,
        0.272206,
        0.230832,
        0.200249,
        0.177936,
        0.164438,
        0.157069,
        0.141157,
        0.133599,
        0.128487,
        0.125689,
        0.125312,
        0.122574,
        0.125298,
        0.124477,
        0.118703,
        0.116372,
        0.117672,
        0.113789,
        0.105836,
        0.102936,
        0.102083,
        0.0987633,
        0.0975319,
        0.0979927,
        0.0971274,
        0.0964262,
        0.094768,
        0.0938229,
        0.0929931,
        0.0934909,
        0.093726,
        0.0927509,
        0.0962397,
        0.0946094,
        0.0922828,
        0.0932393,
        0.0932023,
        0.0925425,
        0.0943409,
        0.0922018,
        0.0916801,
        0.0919016,
        0.0922201,
        0.0924309,
        0.0918529,
        0.0930145,
        0.0926247,
        0.0921228,
        0.0932636,
        0.0948989,
        0.0939053,
        0.0930699,
        0.0923246,
        0.0918157,
        0.0895802,
        0.0882878,
        0.0875596,
        0.0930336,
        0.0929964,
        0.0865231,
        0.0859838,
        0.0847084,
        0.0849218,
        0.0846935,
        0.0836537,
        0.0837137,
        0.0834011,
        0.0836215,
        0.083849,
        0.086174,
        0.0851048,
        0.0825498,
        0.0824178,
        0.0827067,
        0.0874755,
        0.0875122,
        0.0844476,
        0.0826841,
        0.0823127,
        0.0825286,
        0.0831644,
        0.0832448,
        0.0866466,
        0.0874898,
        0.0890909,
        0.0898662,
        0.0856712,
        0.0862951,
        0.0862113,
        0.0865109,
        0.0870163,
        0.0871312,
        0.0872518,
        0.0879005,
        0.0885205,
        0.0889819,
        0.0883965,
        0.0880063,
        0.0874636,
        0.0873999,
        0.0874125,
        0.0875327,
        0.0873386,
        0.0866178,
        0.0866948,
        0.0873945,
        0.0893311,
        0.0979007,
        0.0951184,
        0.0873062,
        0.0876054,
        0.087303,
        0.0868274,
        0.0868984,
        0.08648,
        0.0864196,
        0.0866586,
        0.0866181,
        0.0859747,
        0.0858415,
        0.0860242,
        0.0865778,
        0.0872518,
        0.088809,
        0.091453,
        0.0934391,
        0.0935596,
        0.094219,
        0.0939694,
        0.0937206,
        0.0947753,
        0.0939079,
        0.090284,
        0.0890392,
        0.0865743,
        0.0857641,
        0.0850728,
        0.0853283,
        0.0850955,
        0.0841904,
        0.0842615,
        0.0851655,
        0.0876899,
        0.087373,
        0.0864718,
        0.086795,
        0.0852448,
        0.0864791,
        0.0865366,
        0.0865825,
        0.087098,
        0.0873569,
        0.0877505,
        0.0882737,
        0.0884544,
        0.0883614,
        0.0891687,
        0.0888166,
        0.0895641,
        0.0909598,
        0.0910532,
        0.0896739,
        0.0890926,
        0.0895548,
        0.0901599,
        0.0895904,
        0.090177,
        0.090487,
        0.0909238,
        0.0907573,
        0.0900498,
        0.0895409,
        0.0930725,
        0.090045,
        0.0893785,
        0.089612,
        0.0911347,
        0.0911253,
        0.0902012,
        0.0906334,
        0.0910181,
        0.0939976,
        0.0947525,
        0.0934726,
        0.100868,
        0.102076,
        0.0950738,
        0.0946383,
        0.0933208,
        0.0918386,
        0.090415,
        0.0892325,
        0.0882903,
        0.0878426,
        0.087565,
        0.0880583,
        0.0880365,
        0.0878205,
        0.0893425,
        0.0933535,
        0.0891534,
        0.086857,
        0.0867613,
        0.086403,
        0.0865483,
        0.0869269,
        0.0868404,
        0.087279,
        0.0874472,
        0.0871222,
        0.0871573,
        0.0870216,
        0.0890604,
        0.0902264,
        0.0880135,
        0.0875864,
        0.087916,
        0.091509,
        0.0914372,
        0.0888266,
        0.0894919,
        0.0897599,
        0.0885756,
        0.0888428,
        0.0892761,
        0.0897532,
        0.0889925,
        0.0894996,
        0.0893454,
        0.0890908,
        0.0898283,
        0.0903215,
        0.0898903,
        0.0924469,
        0.0922479,
        0.0905415,
        0.0909007,
        0.0909637,
        0.0914747,
        0.0924028,
        0.0936387,
        0.0951589,
        0.096538,
        0.0973368,
        0.0971313,
        0.0943314,
        0.0931165,
        0.0923521,
        0.0909922,
        0.0926273,
        0.0941603,
        0.0909623,
        0.089611,
        0.0889716,
        0.0898694,
        0.0921918,
        0.092296,
        0.0910855,
        0.0915782,
        0.0919432,
        0.0924922,
        0.0939554,
        0.0954035,
        0.0982028,
        0.0998701,
        0.100136,
        0.105625,
        0.108914,
        0.1106,
        0.114809,
        0.119038,
        0.122037,
        0.123311,
        0.133404,
        0.132153,
        0.11839,
        0.119243,
        0.116104,
        0.111353,
        0.105903,
        0.10417,
        0.104273,
        0.106574,
        0.106446,
        0.105243,
        0.106511,
        0.107647,
        0.107842,
        0.108996,
        0.109692,
        0.109668,
        0.109298,
        0.108332,
        0.107509,
        0.105136,
        0.103002,
        0.101511,
        0.101762,
        0.100242,
        0.097582,
        0.100751,
        0.0989692,
        0.0944884,
        0.0963441,
        0.0956139,
        0.09321,
        0.0930154,
        0.0916619,
        0.0916686,
        0.0916247,
        0.091078,
        0.0906856,
        0.0899953,
        0.0898449,
        0.0907368,
        0.0909143,
        0.091763,
        0.0917206,
        0.0903769,
        0.0902308,
        0.0901773,
        0.0897711,
        0.0904319,
        0.0929422,
        0.0930022,
        0.0928851,
        0.0918391,
        0.0914998,
        0.0912446,
        0.091737,
        0.0923831,
        0.0919607,
        0.0926704,
        0.0935174,
        0.0935713,
        0.0937799,
        0.0942972,
        0.0945766,
        0.098359,
        0.0992052,
        0.0959434,
        0.0994786,
        0.100027,
        0.0976497,
        0.0973874,
        0.0979893,
        0.0986096,
        0.0988215,
        0.0988205,
        0.0983581,
        0.0994196,
        0.101492,
        0.100361,
        0.100682,
        0.102322,
        0.103948,
        0.105586,
        0.108968,
        0.111267,
        0.113794,
        0.116201,
        0.120661,
        0.126056,
        0.129377,
        0.122588,
        0.12414,
        0.127291,
        0.132571,
        0.141393,
        0.147758,
        0.155895,
        0.168843,
        0.187498,
        0.21285,
        0.250488,
        0.287789,
        0.346279,
        0.408302,
        0.449517,
        0.448655,
        0.415358,
        0.369698,
        0.314406,
        0.267971,
        0.232577,
        0.201826,
        0.182865,
        0.170142,
        0.156372,
        0.149141,
        0.140218,
        0.135878,
        0.132381,
        0.128311,
        0.126764,
        0.125273,
        0.126041,
        0.126583,
        0.128405,
        0.131966,
        0.133954,
        0.135406,
        0.138498,
        0.142173,
        0.145108,
        0.148966,
        0.157305,
        0.168454,
        0.181949,
        0.20452,
        0.235584,
        0.297146,
        0.355635,
        0.423482,
        0.518105,
        0.578355,
        0.550775,
        0.451564,
        0.360489,
        0.29197,
        0.241332,
        0.205854,
        0.181869,
        0.162732,
        0.154696,
        0.144901,
        0.130352,
        0.123477,
        0.118337,
        0.114313,
        0.112015,
        0.108339,
        0.104258,
        0.107209,
        0.105791,
        0.0985979,
        0.0957856,
        0.0946533,
        0.0948506,
        0.094462,
        0.0936596,
        0.0972628,
        0.096956,
        0.0929498,
        0.0930874,
        0.0923747,
        0.0926242,
        0.0921916,
        0.0922363,
        0.0921346,
        0.0914337,
        0.0971217,
        0.0950317,
        0.0906492,
        0.0896089,
        0.0897452,
        0.0928583,
        0.0929084,
        0.0900313,
        0.0902084,
        0.0923609,
        0.0929612,
        0.0916877,
        0.090866,
        0.0900901,
        0.0902827,
        0.0904528,
        0.0906449,
        0.090284,
        0.0924106,
        0.0970061,
        0.0921698,
        0.0904475,
        0.0899376,
        0.0900175,
        0.0902514,
        0.0915705,
        0.093062,
        0.0941688,
        0.0948498,
        0.0944956,
        0.0962749,
        0.09474,
        0.0914234,
        0.0897355,
        0.0885304,
        0.0882883,
        0.0878778,
        0.0868799,
        0.0860785,
        0.0853492,
        0.084681,
        0.0846658,
        0.0847848,
        0.0845115,
        0.0843082,
        0.0844696,
        0.084543,
        0.0845658,
        0.0848926,
        0.0850282,
        0.0850616,
        0.0846471,
        0.0846,
        0.0849307,
        0.0893695,
        0.0881196,
        0.0855359,
        0.0855147,
        0.0865497,
        0.0870626,
        0.0879883,
        0.0876645,
        0.0906566,
        0.0912613,
        0.0942841,
        0.0934736,
        0.0890918,
        0.0897137,
        0.0941951,
        0.0942603,
        0.0883654,
        0.0895255,
        0.0895742,
        0.0893654,
        0.0894033,
        0.0895521,
        0.0906977,
        0.0902871,
        0.0905234,
        0.0916423,
        0.0919824,
        0.0917802,
        0.0915596,
        0.0908215,
        0.0915477,
        0.0906851,
        0.0899431,
        0.0890071,
        0.0887722,
        0.0880862,
        0.0881838,
        0.0876471,
        0.0895495,
        0.0888395,
        0.088096,
        0.088085,
        0.0867275,
        0.0871099,
        0.0869614,
        0.0870224,
        0.0877271,
        0.0896519,
        0.0904774,
        0.0895778,
        0.0899868,
        0.0897925,
        0.0897277,
        0.0900625,
        0.0909887,
        0.0909845,
        0.0917569,
        0.0930727,
        0.0941561,
        0.0953015,
        0.0971538,
        0.0991924,
        0.100924,
        0.103521,
        0.106612,
        0.109151,
        0.112374,
        0.12039,
        0.128538,
        0.126374,
        0.124853,
        0.129465,
        0.134887,
        0.137352,
        0.134999,
        0.136593,
        0.137486,
        0.139886,
        0.143577,
        0.147782,
        0.15493,
        0.163206,
        0.172573,
        0.1897,
        0.205849,
        0.246162,
        0.269487,
        0.295552,
        0.358874,
        0.779991,
        1.20468,
        0.865605,
        0.646341,
        0.398305,
        0.329119,
        0.271459,
        0.234979,
        0.208295,
        0.187449,
        0.17101,
        0.159539,
        0.150108,
        0.141386,
        0.133041,
        0.12782,
        0.122899,
        0.118267,
        0.11545,
        0.112617,
        0.112947,
        0.110828,
        0.107354,
        0.105314,
        0.102815,
        0.101367,
        0.0997481,
        0.0998701,
        0.0999927,
        0.0994706,
        0.0989052,
        0.0982698,
        0.0989456,
        0.0980753,
        0.096506,
        0.0957937,
        0.0950513,
        0.0952751,
        0.0944923,
        0.0992523,
        0.0995846,
        0.0939106,
        0.0942547,
        0.0948205,
        0.0942845,
        0.0943653,
        0.0938831,
        0.0930477,
        0.0933343,
        0.0937783,
        0.100595,
        0.100968,
        0.0932538,
        0.0972842,
        0.0962583,
        0.0972925,
        0.0986419,
        0.0936673,
        0.0937664,
        0.0942514,
        0.0941549,
        0.0961435,
        0.095916,
        0.0949885,
        0.0953741,
        0.0967674,
        0.0985457,
        0.103324,
        0.105605,
        0.104228,
        0.107277,
        0.113614,
        0.117126,
        0.128151,
        0.131243,
        0.122677,
        0.122839,
        0.121347,
        0.119066,
        0.116638,
        0.118053,
        0.115521,
        0.109451,
        0.107932,
        0.105059,
        0.104187,
        0.101822,
        0.0989066,
        0.0993586,
        0.0995515,
        0.096093,
        0.0972369,
        0.0974195,
        0.0945022,
        0.0956962,
        0.0946418,
        0.0915384,
        0.0918082,
        0.0914084,
        0.0909133,
        0.0918864,
        0.0934546,
        0.0921417,
        0.0905933,
        0.0908864,
        0.0899002,
        0.0921881,
        0.0940138,
        0.0925614,
        0.0905279,
        0.0901623,
        0.0901472,
        0.0908781,
        0.0916635,
        0.092097,
        0.0921088,
        0.0916989,
        0.0919666,
        0.0922208,
        0.0922782,
        0.0930386,
        0.0943787,
        0.0958235,
        0.0959269,
        0.0952435,
        0.0941674,
        0.0938619,
        0.0928485,
        0.0932765,
        0.0922121,
        0.0899453,
        0.0894269,
        0.0903873,
        0.0894089,
        0.0866878,
        0.0860958,
        0.0855762,
        0.0859772,
        0.0866639,
        0.0918911,
        0.0892703,
        0.0859036,
        0.0852266,
        0.0866505,
        0.088661,
        0.087908,
        0.0867838,
        0.0874069,
        0.0879683,
        0.0882218,
        0.0873716,
        0.0874243,
        0.0881336,
        0.0886759,
        0.0887652,
        0.0888509,
        0.0885559,
        0.0887772,
        0.0934213,
        0.0947221,
        0.0911243,
        0.0963512,
        0.0982558,
        0.0946104,
        0.0960603,
        0.0983618,
        0.102074,
        0.102571,
        0.0996027,
        0.0967539,
        0.0940812,
        0.0931767,
        0.0935633,
        0.0930762,
        0.0926471,
        0.0947946,
        0.0926897,
        0.091349,
        0.0906484,
        0.0908275,
        0.0913096,
        0.0905542,
        0.0900133,
        0.0901716,
        0.0905631,
        0.0903354,
        0.0902428,
        0.0907493,
        0.0911582,
        0.0926274,
        0.0920639,
        0.0907637,
        0.091062,
        0.0894461,
        0.0896466,
        0.0885066,
        0.0878747,
        0.0881127,
        0.0881308,
        0.1004,
        0.0993046,
        0.0873895,
        0.0866419,
        0.0866213,
        0.08593,
        0.0867062,
        0.0924359,
        0.0907686,
        0.086616,
        0.0864595,
        0.0869158,
        0.0922372,
        0.0903584,
        0.0872568,
        0.0874935,
        0.0879967,
        0.0876308,
        0.0884686,
        0.0889867,
        0.0894247,
        0.0888952,
        0.0895551,
        0.0963912,
        0.0985316,
        0.0930959,
        0.0936399,
        0.0928936,
        0.0911889,
        0.0920523,
        0.0920694,
        0.0921329,
        0.0928055,
        0.0961766,
        0.0951831,
        0.0927732,
        0.0943136,
        0.0940462,
        0.0930587,
        0.093775,
        0.0941961,
        0.0953802,
        0.0936249,
        0.0940695,
        0.094653,
        0.0946262,
        0.0958894,
        0.0968284,
        0.0980438,
        0.0984446,
        0.0975313,
        0.0988922,
        0.0983741,
        0.0948574,
        0.096272,
        0.0951541,
        0.0934009,
        0.0916391,
        0.0907553,
        0.0932898,
        0.0935104,
        0.0910807,
        0.0901166,
        0.0901458,
        0.0906838,
        0.0906157,
        0.0905517,
        0.0898163,
        0.0893087,
        0.0915054,
        0.0909766,
        0.0919387,
        0.0918406,
        0.0888666,
        0.0896,
        0.0920424,
        0.091315,
        0.0910067,
        0.092149,
        0.0905624,
        0.0913199,
        0.0915044,
        0.098112,
        0.0994621,
        0.0937776,
        0.0919182,
        0.0917693,
        0.0936055,
        0.0938576,
        0.0923482,
        0.0934893,
        0.0936422,
        0.0935684,
        0.0932082,
        0.0943568,
        0.0955949,
        0.0947037,
        0.0958708,
        0.0958269,
        0.0948336,
        0.0946315,
        0.0948576,
        0.0959457,
        0.0964983,
        0.0965417,
        0.0966832,
        0.0980825,
        0.103037,
        0.103237,
        0.0992964,
        0.10151,
        0.101206,
        0.0968796,
        0.0964549,
        0.0956731,
        0.0954626,
        0.0959732,
        0.0953807,
        0.100563,
        0.100434,
        0.0975829,
        0.0964388,
        0.0940278,
        0.094923,
        0.0954245,
        0.0947806,
        0.0938537,
        0.0942531,
        0.094062,
        0.093619,
        0.0940848,
        0.0953645,
        0.0987424,
        0.0984068,
        0.0954157,
        0.0951882,
        0.095599,
        0.095397,
        0.0952529,
        0.0955689,
        0.0958286,
        0.0953089,
        0.0945077,
        0.0944727,
        0.0950644,
        0.0966858,
        0.0979292,
        0.0976556,
        0.0974788,
        0.0977509,
        0.0984169,
        0.100205,
        0.099388,
        0.0996086,
        0.101564,
        0.10172,
        0.10175,
        0.101503,
        0.102191,
        0.102642,
        0.102105,
        0.101513,
        0.102928,
        0.103647,
        0.103921,
        0.10529,
        0.111322,
        0.1124,
        0.108326,
        0.108831,
        0.108444,
        0.110305,
        0.115681,
        0.117084,
        0.115871,
        0.117304,
        0.120385,
        0.12306,
        0.131792,
        0.132463,
        0.125311,
        0.122849,
        0.121461,
        0.117816,
        0.114903,
        0.112976,
        0.11004,
        0.108554,
        0.107233,
        0.1065,
        0.105796,
        0.10487,
        0.10427,
        0.103112,
        0.101398,
        0.100891,
        0.10066,
        0.100425,
        0.0996888,
        0.0996601,
        0.100088,
        0.0989043,
        0.0984901,
        0.098624,
        0.098682,
        0.098963,
        0.0997316,
        0.0994733,
        0.0995383,
        0.10008,
        0.100653,
        0.102505,
        0.103143,
        0.101018,
        0.101584,
        0.102044,
        0.102586,
        0.102389,
        0.10308,
        0.104447,
        0.103244,
        0.103464,
        0.106439,
        0.111092,
        0.108958,
        0.104286,
        0.104227,
        0.106177,
        0.107038,
        0.10516,
        0.105012,
        0.105938,
        0.113207,
        0.114532,
        0.108745,
        0.108443,
        0.105607,
        0.106341,
        0.107152,
        0.107589,
        0.107411,
        0.10603,
        0.107329,
        0.105802,
        0.105437,
        0.104696,
        0.105083,
        0.105206,
        0.105552,
        0.104499,
        0.104407,
        0.104422,
        0.103742,
        0.104511,
        0.10448,
        0.104459,
        0.105445,
        0.106886,
        0.111259,
        0.111401,
        0.108682,
        0.107893,
        0.107917,
        0.108489,
        0.11366,
        0.113864,
        0.110945,
        0.111258,
        0.111209,
        0.111124,
        0.111035,
        0.111071,
        0.111021,
        0.111117,
        0.111019,
        0.110843,
        0.11068,
        0.110167,
        0.110525,
        0.110534,
        0.110221,
        0.109909,
        0.110747,
        0.111023,
        0.111267,
        0.110932,
        0.111741,
        0.112417,
        0.112705,
        0.112843,
        0.112912,
        0.113637,
        0.113699,
        0.113923,
        0.113892,
        0.115081,
        0.113853,
        0.113957,
        0.113828,
        0.113036,
        0.113767,
        0.11475,
        0.116237,
        0.1167,
        0.115895,
        0.116886,
        0.11615,
        0.116561,
        0.116055,
        0.115973,
        0.115539,
        0.115132,
        0.114905,
        0.113534,
        0.112709,
        0.11204,
        0.111945,
        0.110911,
        0.118517,
        0.118943,
        0.110748,
        0.111154,
        0.113286,
        0.111877,
        0.110346,
        0.110741,
        0.116058,
        0.116332,
        0.11102,
        0.1105,
        0.109866,
        0.111815,
        0.11343,
        0.112346,
        0.114192,
        0.115248,
        0.113364,
        0.112949,
        0.114202,
        0.116056,
        0.116503,
        0.117859,
        0.1176,
        0.117281,
        0.118505,
        0.121065,
        0.121959,
        0.123649,
        0.12575,
        0.128283,
        0.130405,
        0.131836,
        0.130267,
        0.127917,
        0.127202,
        0.126745,
        0.126474,
        0.125137,
        0.123991,
        0.124703,
        0.123449,
        0.120675,
        0.122419,
        0.121857,
        0.122968,
        0.124634,
        0.124052,
        0.123742,
        0.124481,
        0.123757,
        0.123327,
        0.121919,
        0.121027,
        0.120773,
        0.119168,
        0.118457,
        0.117333,
        0.118139,
        0.117239,
        0.115564,
        0.116481,
        0.116395,
        0.116406,
        0.118397,
        0.117153,
        0.12185,
        0.121769,
        0.116605,
        0.117557,
        0.118827,
        0.118802,
        0.11698,
        0.116554,
        0.116585,
        0.115772,
        0.115358,
        0.11486,
        0.115409,
        0.116014,
        0.117672,
        0.11753,
        0.116794,
        0.11798,
        0.118075,
        0.118928,
        0.121889,
        0.122178,
        0.119344,
        0.119807,
        0.120076,
        0.120684,
        0.126422,
        0.124716,
        0.123109,
        0.124227,
        0.124354,
        0.125012,
        0.124993,
        0.125282,
        0.125008,
        0.126218,
        0.126065,
        0.125471,
        0.126749,
        0.126039,
        0.125816,
        0.125924,
        0.12693,
        0.128058,
        0.127398,
        0.12667,
        0.128255,
        0.128173,
        0.127927,
        0.127292,
        0.126299,
        0.130756,
        0.13029,
        0.128285,
        0.129112,
        0.129985,
        0.130821,
        0.130434,
        0.133643,
        0.13445,
        0.12997,
        0.127378,
        0.126821,
        0.12681,
        0.128263,
        0.127078,
        0.126056,
        0.126612,
        0.127848,
        0.129227,
        0.130817,
        0.131509,
        0.132054,
        0.133946,
        0.134314,
        0.134223,
        0.135181,
        0.138351,
        0.141131,
        0.143765,
        0.142276,
        0.143629,
        0.145088,
        0.14738,
        0.153808,
        0.163667,
        0.174024,
        0.182369,
        0.189454,
        0.197575,
        0.20242,
        0.197935,
        0.189302,
        0.183232,
        0.175899,
        0.170302,
        0.172643,
        0.167499,
        0.158013,
        0.156307,
        0.154425,
        0.154959,
        0.157468,
        0.159013,
        0.158037,
        0.157647,
        0.159234,
        0.160274,
        0.161623,
        0.16155,
        0.163938,
        0.167396,
        0.173332,
        0.175892,
        0.173694,
        0.178495,
        0.185198,
        0.192005,
        0.197273,
        0.204829,
        0.216743,
        0.235068,
        0.245346,
        0.263736,
        0.292504,
        0.333525,
        0.392227,
        0.464458,
        0.563963,
        0.703291,
        0.88307,
        1.38196,
        0.854891,
        0.813806,
        0.905939,
        2.834,
        1.28067,
        0.97588,
        0.722392,
        0.589282,
        0.476361,
        0.356088,
        0.356187,
        0.325141,
        0.29088,
        0.269129,
        0.242598,
        0.231004,
        0.221594,
        0.213159,
        0.209105,
        0.220386,
        0.215825,
        0.197658,
        0.188581,
        0.185091,
        0.183105,
        0.179177,
        0.177374,
        0.17374,
        0.170131,
        0.166512,
        0.164636,
        0.165218,
        0.167514,
        0.161262,
        0.158833,
        0.156792,
        0.155635,
        0.157819,
        0.157703,
        0.153846,
        0.153712,
        0.15135,
        0.150727,
        0.148533,
        0.146789,
        0.147176,
        0.146873,
        0.144111,
        0.146144,
        0.148738,
        0.14321,
        0.142012,
        0.142213,
        0.141558,
        0.14159,
        0.14074,
        0.13975,
        0.139911,
        0.13998,
        0.139276,
        0.139691,
        0.140137,
        0.138062,
        0.134114,
        0.140824,
        0.140647,
        0.141499,
        0.142098,
        0.143135,
        0.143521,
        0.142748,
        0.142598,
        0.143306,
        0.143614,
        0.143082,
        0.146153,
        0.146146,
        0.145332,
        0.14615,
        0.146259,
        0.145559,
        0.147212,
        0.148077,
        0.149195,
        0.14943,
        0.15104,
        0.15007,
        0.148371,
        0.148885,
        0.149124,
        0.151066,
        0.151885,
        0.151318,
        0.149943,
        0.14982,
        0.152426,
        0.150881,
        0.14865,
        0.149957,
        0.149126,
        0.150522,
        0.156324,
        0.156425,
        0.153362,
        0.150142,
        0.150233,
        0.151157,
        0.150979,
        0.150964,
        0.151115,
        0.150742,
        0.151781,
        0.153303,
        0.155303,
        0.154122,
        0.154293,
        0.155662,
        0.155824,
        0.157681,
        0.159581,
        0.161919,
        0.163843,
        0.165693,
        0.168082,
        0.174077,
        0.179032,
        0.182566,
        0.184786,
        0.195458,
        0.204589,
        0.217057,
        0.232161,
        0.24971,
        null,
        0.200793,
        0.193283,
        0.18424,
        0.176178,
        0.167493,
        0.159273,
        0.154155,
        0.15021,
        0.146256,
        0.144429,
        0.142694,
        0.140473,
        0.139546,
        0.138446,
        0.137394,
        0.138006,
        0.138381,
        0.137668,
        0.137803,
        0.138585,
        0.138558,
        0.139709,
        0.140661,
        0.139856,
        0.141151,
        0.143266,
        0.145693,
        0.147059,
        0.14825,
        0.150447,
        0.153145,
        0.155477,
        0.158509,
        0.161173,
        0.173178,
        0.177271,
        0.174872,
        0.181319,
        0.189594,
        0.198678,
        0.210648,
        0.224557,
        0.242035,
        0.265556,
        0.298365,
        0.339385,
        0.396969,
        0.492874,
        1.4603,
        4.61077,
        8.28859,
        1.59272,
        1.04012,
        0.746025,
        0.566135,
        0.450139,
        0.379042,
        0.336937,
        0.302717,
        0.275965,
        0.2545,
        0.236023,
        0.220052,
        0.205004,
        0.194649,
        0.191565,
        0.181964,
        0.174928,
        0.169657,
        0.164415,
        0.160344,
        0.157411,
        0.153955,
        0.150675,
        0.148654,
        0.146197,
        0.14362,
        0.141843,
        0.140388,
        0.140101,
        0.139295,
        0.137905,
        0.137063,
        0.137666,
        0.137581,
        0.138429,
        0.138839,
        0.139046,
        0.140348,
        0.142298,
        0.144007,
        0.146228,
        0.146641,
        0.154617,
        0.166267,
        0.168759,
        0.168787,
        0.180408,
        0.192885,
        0.202653,
        0.221688,
        0.250438,
        0.290831,
        0.352605,
        0.441596,
        0.603117,
        0.88177,
        1.00943,
        0.538174,
        0.419132,
        0.33815,
        0.287594,
        0.251613,
        0.225371,
        0.205046,
        0.201849,
        0.189784,
        0.167627,
        0.158006,
        0.149821,
        0.14532,
        0.14107,
        0.137601,
        0.135431,
        0.131782,
        0.128192,
        0.12647,
        0.123935,
        0.121325,
        0.120687,
        0.119211,
        0.117841,
        0.114803,
        0.114918,
        0.114411,
        0.112459,
        0.110824,
        0.110047,
        0.108753,
        0.107992,
        0.108001,
        0.107188,
        0.10684,
        0.106473,
        0.105334,
        0.104533,
        0.104017,
        0.102998,
        0.102905,
        0.10319,
        0.10374,
        0.102465,
        0.103025,
        0.10585,
        0.104684,
        0.102941,
        0.100356,
        0.100382,
        0.100369,
        0.101443,
        0.10189,
        0.104688,
        0.104232,
        0.101387,
        0.101884,
        0.102249,
        0.112265,
        0.112871,
        0.101952,
        0.101537,
        0.101931,
        0.102381,
        0.102187,
        0.101967,
        0.106517,
        0.104546,
        0.101701,
        0.101755,
        0.101928,
        0.10163,
        0.101522,
        0.102029,
        0.101201,
        0.101049,
        0.101725,
        0.10298,
        0.102615,
        0.10027,
        0.0994221,
        0.0996633,
        0.0989245,
        0.0986338,
        0.0980665,
        0.0975092,
        0.0974663,
        0.102584,
        0.102069,
        0.096638,
        0.0963356,
        0.0958066,
        0.0954952,
        0.0959815,
        0.0958162,
        0.0955556,
        0.0954715,
        0.0997686,
        0.0986772,
        0.0967205,
        0.0973092,
        0.0974497,
        0.0985529,
        0.0984275,
        0.0968515,
        0.0962101,
        0.0972202,
        0.0976986,
        0.0985819,
        0.0997688,
        0.100494,
        0.101112,
        0.102116,
        0.10281,
        0.10303,
        0.102865,
        0.102636,
        0.101617,
        0.101414,
        0.100604,
        0.10077,
        0.102061,
        0.103297,
        0.105043,
        0.10677,
        0.108614,
        0.110318,
        0.110967,
        0.110885,
        0.110216,
        0.108592,
        0.106752,
        0.104275,
        0.102065,
        0.100258,
        0.0984067,
        0.099414,
        0.0989081,
        0.0958825,
        0.0955782,
        0.0947028,
        0.0947782,
        0.0994498,
        0.10041,
        0.0969995,
        0.0944919,
        0.0929384,
        0.0929308,
        0.0926268,
        0.0923349,
        0.0921761,
        0.0932331,
        0.0930016,
        0.0913105,
        0.093352,
        0.0931248,
        0.0911721,
        0.0919294,
        0.0926109,
        0.0925716,
        0.0925394,
        0.0924263,
        0.0930619,
        0.0926774,
        0.0937519,
        0.0972896,
        0.0942947,
        0.0977599,
        0.0963175,
        0.0937751,
        0.0932892,
        0.0929078,
        0.0941403,
        0.0935255,
        0.0926822,
        0.0930054,
        0.0940243,
        0.0948501,
        0.0947642,
        0.0950703,
        0.0953153,
        0.0954014,
        0.0967695,
        0.0972471,
        0.0970776,
        0.0964122,
        0.0950894,
        0.0941179,
        0.0934073,
        0.0929222,
        0.0928068,
        0.0929954,
        0.0924041,
        0.0919438,
        0.09251,
        0.0934464,
        0.0924998,
        0.0923263,
        0.0918174,
        0.0914969,
        0.0912228,
        0.0905888,
        0.0906136,
        0.0904359,
        0.089598,
        0.0891336,
        0.0891626,
        0.0887587,
        0.0892189,
        0.0901943,
        0.0914378,
        0.0925356,
        0.0929111,
        0.0929988,
        0.0924868,
        0.0917087,
        0.0914293,
        0.0911069,
        0.0914729,
        0.0912691,
        0.0938608,
        0.0960567,
        0.0935578,
        0.090276,
        0.0912913,
        0.0919341,
        0.0914897,
        0.0911108,
        0.0907404,
        0.091456,
        0.0918033,
        0.0960695,
        0.0962062,
        0.0920263,
        0.0915197,
        0.0928292,
        0.0924739,
        0.0916042,
        0.0924952,
        0.0935319,
        0.104245,
        0.0995312,
        0.0911496,
        0.0922556,
        0.0936122,
        0.096979,
        0.0969568,
        0.0947736,
        0.0957458,
        0.0964045,
        0.096644,
        0.095971,
        0.0954633,
        0.097201,
        0.0941957,
        0.0906266,
        0.0901528,
        0.0895661,
        0.089163,
        0.0886669,
        0.088769,
        0.0914311,
        0.0929105,
        0.0884949,
        0.0886442,
        0.0898813,
        0.091659,
        0.0923777,
        0.0921979,
        0.0913909,
        0.0900268,
        0.0895061,
        0.0893469,
        0.0898285,
        0.0899665,
        0.090048,
        0.0897938,
        0.0899141,
        0.0901757,
        0.091059,
        0.0933214,
        0.0945639,
        0.0951203,
        0.0959928,
        0.0951842,
        0.0932767,
        0.0917096,
        0.0905585,
        0.0907358,
        0.0916464,
        0.0920601,
        0.0926061,
        0.0979108,
        0.0975093,
        0.0921652,
        0.092075,
        0.0928007,
        0.0933536,
        0.0931904,
        0.0930736,
        0.0926936,
        0.0926828,
        0.0932469,
        0.0936481,
        0.0940035,
        0.0927257,
        0.0912454,
        0.0898013,
        0.0892716,
        0.0904411,
        0.090956,
        0.089172,
        0.088559,
        0.0885469,
        0.0887603,
        0.0884672,
        0.0887933,
        0.0898855,
        0.0903337,
        0.088718,
        0.0874034,
        0.0868285,
        0.0881782,
        0.0909374,
        0.0934353,
        0.0946899,
        0.0956107,
        0.0947108,
        0.0927656,
        0.0902988,
        0.089005,
        0.0904221,
        0.0929969,
        0.0946905,
        0.0945115,
        0.0933633,
        0.0914395,
        0.0902289,
        0.0925248,
        0.0923855,
        0.0938161,
        0.0941316,
        0.0944059,
        0.09394,
        0.0929073,
        0.0935259,
        0.0942624,
        0.0945615,
        0.0936557,
        0.0927217,
        0.09228,
        0.092397,
        0.0935543,
        0.0954986,
        0.0966839,
        0.0961008,
        0.0943669,
        0.0931924,
        0.0927384,
        0.0932248,
        0.0942324,
        0.0969417,
        0.0970827,
        0.0961553,
        0.0962033,
        0.0950094,
        0.0946524,
        0.0948694,
        0.0941789,
        0.0934854,
        0.093573,
        0.0932509,
        0.092717,
        0.0932025,
        0.0942061,
        0.096333,
        0.0989892,
        0.100351,
        0.100134,
        0.0986027,
        0.0969115,
        0.0943983,
        0.0939194,
        0.0953384,
        0.0979253,
        0.100805,
        0.101541,
        0.100508,
        0.0982689,
        0.0971353,
        0.0965859,
        0.0977158,
        0.098792,
        0.102883,
        0.104986,
        0.103936,
        0.106369,
        0.108735,
        0.111049,
        0.113589,
        0.116893,
        0.121347,
        0.129814,
        0.146011,
        0.153612,
        0.159318,
        0.171594,
        0.183835,
        0.207247,
        0.227685,
        0.243728,
        0.27356,
        0.30635,
        0.362056,
        0.454038,
        0.599366,
        0.542685,
        0.414015,
        0.339338,
        0.282002,
        0.239299,
        0.213169,
        0.191297,
        0.172948,
        0.161824,
        0.155034,
        0.150225,
        0.14605,
        0.144001,
        0.142686,
        0.139157,
        0.132317,
        0.125169,
        0.118466,
        0.112887,
        0.110018,
        0.118512,
        0.121541,
        0.109415,
        0.105365,
        0.103991,
        0.101967,
        0.100041,
        0.100289,
        0.102451,
        0.104774,
        0.105168,
        0.103964,
        0.10281,
        0.100169,
        0.0982342,
        0.0981333,
        0.0975026,
        0.0944197,
        0.094005,
        0.094552,
        0.0956509,
        0.0967716,
        0.0971254,
        0.0971283,
        0.0976815,
        0.0971326,
        0.0976494,
        0.0988945,
        0.0983497,
        0.097979,
        0.0974073,
        0.0971589,
        0.0959001,
        0.0959369,
        0.0990709,
        0.10592,
        0.106982,
        0.102169,
        0.102231,
        0.10171,
        0.102295,
        0.10653,
        0.111353,
        0.114174,
        0.114918,
        0.113195,
        0.114463,
        0.115396,
        0.113559,
        0.113967,
        0.116082,
        0.116128,
        0.113174,
        0.11291,
        0.115585,
        0.112126,
        0.107044,
        0.104975,
        0.101501,
        0.0963626,
        0.0924341,
        0.0898178,
        0.0873464,
        0.0871868,
        0.0878733,
        0.0890159,
        0.0909767,
        0.0938558,
        0.0989278,
        0.0986545,
        0.0947414,
        0.0921749,
        0.0899967,
        0.0889894,
        0.0893705,
        0.0901707,
        0.0906338,
        0.0916712,
        0.0920914,
        0.0920414,
        0.0935431,
        0.0958112,
        0.0962496,
        0.095274,
        0.0932799,
        0.0916708,
        0.0938673,
        0.0945948,
        0.0966789,
        0.0965665,
        0.0954059,
        0.0967301,
        0.0965496,
        0.096508,
        0.0987597,
        0.100157,
        0.102813,
        0.103919,
        0.102244,
        0.0988929,
        0.102803,
        0.100416,
        0.090476,
        0.0884592,
        0.0875905,
        0.0868185,
        0.0858786,
        0.0856715,
        0.0870401,
        0.0881291,
        0.0884078,
        0.0875568,
        0.0865754,
        0.0853747,
        0.0842641,
        0.0834221,
        0.0896069,
        0.0897764,
        0.0834469,
        0.083273,
        0.0861941,
        0.0891132,
        0.0907801,
        0.0923625,
        0.0924124,
        0.092099,
        0.0933224,
        0.0939955,
        0.09288,
        0.0928658,
        0.0944623,
        0.0982097,
        0.105739,
        0.116327,
        0.121487,
        0.119325,
        0.113169,
        0.109464,
        0.110588,
        0.11232,
        0.11129,
        0.108351,
        0.103718,
        0.0996009,
        0.099567,
        0.103078,
        0.109812,
        0.113359,
        0.115164,
        0.111638,
        0.10505,
        0.0983848,
        0.0938705,
        0.0921612,
        0.0921286,
        0.0920879,
        0.0908619,
        0.0902988,
        0.090274,
        0.090482,
        0.0915234,
        0.0928584,
        0.0951645,
        0.0974367,
        0.103179,
        0.108391,
        0.108929,
        0.107478,
        0.104156,
        0.102961,
        0.104819,
        0.108263,
        0.114181,
        0.111596,
        0.104685,
        0.102246,
        0.101038,
        0.101938,
        0.105767,
        0.110741,
        0.117345,
        0.127291,
        0.144884,
        0.170378,
        0.196517,
        0.221244,
        0.265366,
        0.299095,
        0.302731,
        0.31934,
        0.333906,
        0.346225,
        0.35889,
        0.386854,
        0.420291,
        0.438491,
        0.42462,
        0.396697,
        0.36013,
        0.329758,
        0.316559,
        0.297641,
        0.306517,
        0.301291,
        0.273804,
        0.267804,
        0.275833,
        0.291374,
        0.302931,
        0.291228,
        0.274636,
        0.267015,
        0.267434,
        0.261473,
        0.250533,
        0.234486,
        0.223158,
        0.215814,
        0.211104,
        0.207129,
        0.205768,
        0.204841,
        0.211649,
        0.215538,
        0.216027,
        0.206977,
        0.188538,
        0.181067,
        0.171993,
        0.166222,
        0.173179,
        0.190756,
        0.20303,
        0.207246,
        0.206248,
        0.192781,
        0.178668,
        0.167489,
        0.157814,
        0.150644,
        0.14486,
        0.139289,
        0.134033,
        0.130722,
        0.128717,
        0.130649,
        0.133052,
        0.137258,
        0.144014,
        0.152368,
        0.160523,
        0.163948,
        0.164378,
        0.159595,
        0.153757,
        0.153359,
        0.157213,
        0.164068,
        0.170717,
        0.171815,
        0.16607,
        0.153404,
        0.139476,
        0.130832,
        0.129077,
        0.128891,
        0.126896,
        0.123642,
        0.119584,
        0.117289,
        0.116811,
        0.121495,
        0.122009,
        0.116624,
        0.117308,
        0.11851,
        0.118453,
        0.116871,
        0.114696,
        0.114753,
        0.116486,
        0.120171,
        0.122203,
        0.120136,
        0.114308,
        0.110788,
        0.107802,
        0.106962,
        0.113161,
        0.121093,
        0.126606,
        0.125505,
        0.120129,
        0.11423,
        0.108536,
        0.105402,
        0.104508,
        0.107168,
        0.11246,
        0.115139,
        0.116036,
        0.119932,
        0.122691,
        0.119179,
        0.113046,
        0.107002,
        0.102057,
        0.10064,
        0.102883,
        0.107233,
        0.113333,
        0.117063,
        0.115897,
        0.110949,
        0.105239,
        0.101439,
        0.100265,
        0.102607,
        0.104542,
        0.101695,
        0.100969,
        0.0992168,
        0.0976971,
        0.0991981,
        0.105544,
        0.118202,
        0.133193,
        0.146042,
        0.152345,
        0.147382,
        0.134506,
        0.124993,
        0.123272,
        0.128621,
        0.139853,
        0.147415,
        0.142727,
        0.130765,
        0.116353,
        0.106105,
        0.100095,
        0.0981703,
        0.0974276,
        0.0969464,
        0.0980185,
        0.102847,
        0.113147,
        0.122025,
        0.12366,
        0.118641,
        0.110777,
        0.104014,
        0.102306,
        0.10467,
        0.106106,
        0.105157,
        0.102512,
        0.10325,
        0.100564,
        0.0975764,
        0.0994662,
        0.102378,
        0.105256,
        0.112282,
        0.121293,
        0.122911,
        0.117958,
        0.110913,
        0.102561,
        0.0964425,
        0.0943387,
        0.0940303,
        0.0947676,
        0.0950731,
        0.0966283,
        0.098472,
        0.102493,
        0.10669,
        0.11514,
        0.13152,
        0.146499,
        0.148229,
        0.139194,
        0.125611,
        0.115227,
        0.109384,
        0.107362,
        0.106885,
        0.108691,
        0.112408,
        0.116195,
        0.115131,
        0.11796,
        0.125605,
        0.138086,
        0.141889,
        0.144712,
        0.15106,
        0.167304,
        0.185602,
        0.191259,
        0.193548,
        0.195432,
        0.188017,
        0.18451,
        0.198616,
        0.228046,
        0.268682,
        0.300413,
        0.350348,
        0.387183,
        0.455022,
        0.596475,
        0.813223,
        1.20529,
        3.74273,
        1.87458,
        0.789555,
        0.570966,
        0.439239,
        0.351993,
        0.288361,
        0.260316,
        0.238727,
        0.2371,
        0.251307,
        0.248738,
        0.222607,
        0.194524,
        0.169184,
        0.156725,
        0.147864,
        0.14266,
        0.148967,
        0.15492,
        0.161692,
        0.162389,
        0.162447,
        0.161999,
        0.163027,
        0.165491,
        0.167158,
        0.161367,
        0.152006,
        0.14495,
        0.153018,
        0.144092,
        0.130107,
        0.117182,
        0.10945,
        0.106226,
        0.103556,
        0.10184,
        0.10138,
        0.10125,
        0.102335,
        0.102612,
        0.100851,
        0.099776,
        0.102471,
        0.100071,
        0.0967169,
        0.0961664,
        0.0976956,
        0.105766,
        0.104347,
        0.0979699,
        0.102961,
        0.111025,
        0.121624,
        0.136438,
        0.133296,
        0.125739,
        0.126311,
        0.130352,
        0.130495,
        0.12318,
        0.114478,
        0.112213,
        0.103764,
        0.095079,
        0.0946611,
        0.101467,
        0.106612,
        0.115769,
        0.139261,
        0.169001,
        0.190696,
        0.200002,
        0.190724,
        0.168205,
        0.150702,
        0.146044,
        0.146222,
        0.152905,
        0.160027,
        0.163607,
        0.160044,
        0.143453,
        0.126515,
        0.113416,
        0.102889,
        0.0976016,
        0.0960014,
        0.0984373,
        0.0974598,
        0.0997042,
        0.0997172,
        0.0934512,
        0.0929374,
        0.0975799,
        0.0950646,
        0.0925466,
        0.0923836,
        0.0923647,
        0.0921681,
        0.091608,
        0.0900329,
        0.0899126,
        0.0902189,
        0.0899321,
        0.0912681,
        0.0918075,
        0.0950378,
        0.102489,
        0.114055,
        0.120807,
        0.119621,
        0.11187,
        0.102059,
        0.0944673,
        0.0905487,
        0.0899991,
        0.0910923,
        0.0925179,
        0.0953603,
        0.0979306,
        0.101003,
        0.106392,
        0.121258,
        0.146352,
        0.171128,
        0.184869,
        0.185143,
        0.167432,
        0.141395,
        0.121655,
        0.10781,
        0.0979414,
        0.0922431,
        0.0893932,
        0.0882796,
        0.0879154,
        0.0880318,
        0.0891889,
        0.0901008,
        0.0906122,
        0.0955903,
        0.0934068,
        0.0888814,
        0.0885536,
        0.0882415,
        0.0885089,
        0.0925537,
        0.0931711,
        0.0905151,
        0.0905959,
        0.090544,
        0.0906249,
        0.091256,
        0.0924997,
        0.0959566,
        0.0987786,
        0.100891,
        0.111258,
        0.133204,
        0.160637,
        0.176921,
        0.176794,
        0.154665,
        0.131108,
        0.122854,
        0.120345,
        0.125204,
        0.138083,
        0.145638,
        0.142516,
        0.132146,
        0.119853,
        0.110238,
        0.10589,
        0.103834,
        0.103183,
        0.111118,
        0.133393,
        0.163054,
        0.196265,
        0.198364,
        0.172122,
        0.160213,
        0.155149,
        0.151682,
        0.142227,
        0.128501,
        0.121462,
        0.123551,
        0.128744,
        0.131984,
        0.128051,
        0.119811,
        0.112339,
        0.110163,
        0.11292,
        0.125017,
        0.139711,
        0.14083,
        0.132638,
        0.12262,
        0.114291,
        0.112796,
        0.114619,
        0.114408,
        0.113792,
        0.111494,
        0.108161,
        0.105181,
        0.102828,
        0.10042,
        0.102471,
        0.101639,
        0.0987588,
        0.0983504,
        0.0978342,
        0.0965501,
        0.0955293,
        0.0956253,
        0.0947757,
        0.0941916,
        0.0950206,
        0.0998566,
        0.101747,
        0.105276,
        0.104938,
        0.100136,
        0.0978564,
        0.0967997,
        0.0960227,
        0.0975707,
        0.100798,
        0.109608,
        0.123522,
        0.13566,
        0.142485,
        0.144879,
        0.138506,
        0.12645,
        0.115262,
        0.106135,
        0.100318,
        0.0998105,
        0.105464,
        0.117526,
        0.130189,
        0.136928,
        0.133126,
        0.130533,
        0.126605,
        0.13083,
        0.150899,
        0.181733,
        0.202539,
        0.19307,
        0.161704,
        0.137747,
        0.118878,
        0.105752,
        0.100528,
        0.100966,
        0.100894,
        0.0987615,
        0.0987664,
        0.0988993,
        0.101035,
        0.102574,
        0.101492,
        0.100628,
        0.101733,
        0.103449,
        0.109194,
        0.109986,
        0.110452,
        0.117533,
        0.135192,
        0.16469,
        0.197877,
        0.209164,
        0.19878,
        0.173525,
        0.14971,
        0.135551,
        0.130439,
        0.129307,
        0.13652,
        0.153438,
        0.174239,
        0.193509,
        0.212739,
        0.245345,
        0.268009,
        0.272042,
        0.257854,
        0.237208,
        0.218172,
        0.199819,
        0.181412,
        0.166748,
        0.156041,
        0.150922,
        0.150662,
        0.154768,
        0.161714,
        0.173688,
        0.179044,
        0.192451,
        0.215773,
        0.252344,
        0.301097,
        0.348688,
        0.383759,
        0.419461,
        0.467394,
        0.911969,
        0.553875,
        0.461443,
        0.340857,
        0.296388,
        0.262324,
        0.237081,
        0.220995,
        0.213588,
        0.192101,
        0.17623,
        0.165348,
        0.156787,
        0.152753,
        0.149521,
        0.147811,
        0.149983,
        0.153501,
        0.146624,
        0.140556,
        0.134717,
        0.129687,
        0.12566,
        0.124235,
        0.123015,
        0.123558,
        0.136395,
        0.147606,
        0.147218,
        0.162503,
        0.189523,
        0.214381,
        0.225932,
        0.219863,
        0.19863,
        0.185484,
        0.17646,
        0.164374,
        0.156803,
        0.147136,
        0.133592,
        0.123388,
        0.118361,
        0.11594,
        0.116809,
        0.117306,
        0.116208,
        0.118088,
        0.123834,
        0.137895,
        0.151092,
        0.158528,
        0.156469,
        0.1458,
        0.135649,
        0.128078,
        0.124417,
        0.127294,
        0.132179,
        0.137514,
        0.144954,
        0.151234,
        0.159129,
        0.168684,
        0.182685,
        0.204678,
        0.232213,
        0.261054,
        0.309332,
        0.361413,
        0.396128,
        0.425711,
        0.402821,
        0.372096,
        0.371401,
        0.378493,
        0.38138,
        0.385991,
        0.390008,
        0.368347,
        0.328003,
        0.308643,
        0.297334,
        0.290675,
        0.292778,
        0.285257,
        0.246904,
        0.214732,
        0.197278,
        0.185405,
        0.177172,
        0.178504,
        0.178192,
        0.169175,
        0.155722,
        0.151359,
        0.143283,
        0.131519,
        0.137162,
        0.150137,
        0.160957,
        0.166332,
        0.1592,
        0.144851,
        0.134131,
        0.128447,
        0.127896,
        0.12804,
        0.126395,
        0.125107,
        0.124061,
        0.124519,
        0.126212,
        0.1285,
        0.133007,
        0.14548,
        0.165796,
        0.1887,
        0.199322,
        0.197934,
        0.189966,
        0.177938,
        0.173231,
        0.173404,
        0.18182,
        0.194301,
        0.210306,
        0.228016,
        0.254573,
        0.289684,
        0.336268,
        0.405192,
        0.514868,
        0.712732,
        10.4674,
        2.42129,
        1.93437,
        1.52881,
        1.14285,
        0.798325,
        0.600157,
        0.480507,
        0.408637,
        0.381649,
        0.355343,
        0.316221,
        0.301155,
        0.290278,
        0.271826,
        0.249717,
        0.219339,
        0.195463,
        0.178142,
        0.167547,
        0.163004,
        0.164052,
        0.171281,
        0.182786,
        0.184129,
        0.177098,
        0.166805,
        0.154155,
        0.156063,
        0.15518,
        0.136529,
        0.130179,
        0.127698,
        0.12539,
        0.124794,
        0.122197,
        0.122231,
        0.123324,
        0.123448,
        0.130706,
        0.14774,
        0.16765,
        0.190409,
        0.216276,
        0.244223,
        0.238953,
        0.225092,
        0.186578,
        0.156694,
        0.137566,
        0.126535,
        0.121507,
        0.118747,
        0.119213,
        0.118601,
        0.11826,
        0.119133,
        0.12066,
        0.120434,
        0.121496,
        0.125822,
        0.131577,
        0.139155,
        0.141835,
        0.144597,
        0.143781,
        0.140778,
        0.144298,
        0.160055,
        0.212711,
        0.261531,
        0.26334,
        0.276911,
        0.286301,
        0.296962,
        0.315777,
        0.346156,
        0.351245,
        0.323694,
        0.283408,
        0.239191,
        0.204311,
        0.186305,
        0.159591,
        0.136193,
        0.128701,
        0.126419,
        0.126713,
        0.130526,
        0.141625,
        0.15505,
        0.163113,
        0.163826,
        0.158974,
        0.151548,
        0.142618,
        0.137347,
        0.136797,
        0.136648,
        0.137673,
        0.137087,
        0.138103,
        0.146423,
        0.145073,
        0.136127,
        0.136272,
        0.13714,
        0.138336,
        0.143576,
        0.153568,
        0.172929,
        0.212809,
        0.239369,
        0.229685,
        0.228574,
        0.214313,
        0.198265,
        0.185707,
        0.173826,
        0.165838,
        0.162027,
        0.164012,
        0.176613,
        0.196051,
        0.206872,
        0.199732,
        0.18766,
        0.175088,
        0.163158,
        0.153848,
        0.149364,
        0.149847,
        0.145074,
        0.141282,
        0.146327,
        0.158847,
        0.179257,
        0.201697,
        0.206378,
        0.201141,
        0.205352,
        0.209151,
        0.202403,
        0.186749,
        0.181651,
        0.182592,
        0.189083,
        0.199582,
        0.205251,
        0.201729,
        0.19287,
        0.179617,
        0.167201,
        0.156536,
        0.148573,
        0.143073,
        0.137943,
        0.141688,
        0.150348,
        0.164854,
        0.175621,
        0.181971,
        0.188015,
        0.197179,
        0.203739,
        0.205539,
        0.198372,
        0.183662,
        0.176321,
        0.156545,
        0.132687,
        0.124626,
        0.122063,
        0.120447,
        0.118835,
        0.118658,
        0.119836,
        0.120044,
        0.121689,
        0.125302,
        0.135795,
        0.154796,
        0.168574,
        0.169038,
        0.165586,
        0.153804,
        0.14184,
        0.132377,
        0.128769,
        0.127794,
        0.126428,
        0.125821,
        0.125465,
        0.125465,
        0.125039,
        0.128663,
        0.13392,
        0.141135,
        0.145615,
        0.149201,
        0.148575,
        0.14376,
        0.152351,
        0.15346,
        0.149532,
        0.170426,
        0.190634,
        0.209424,
        0.230367,
        0.240995,
        0.237431,
        0.219993,
        0.205064,
        0.207485,
        0.227016,
        0.262299,
        0.311751,
        0.354454,
        0.351829,
        0.29897,
        0.246036,
        0.202745,
        0.174648,
        0.156837,
        0.147176,
        0.142645,
        0.140689,
        0.141034,
        0.144917,
        0.153271,
        0.168849,
        0.190243,
        0.213861,
        0.242533,
        0.26616,
        0.256513,
        0.223826,
        0.200446,
        0.179798,
        0.164354,
        0.155669,
        0.151454,
        0.148445,
        0.147861,
        0.149549,
        0.151916,
        0.154083,
        0.155733,
        0.158192,
        0.162344,
        0.174684,
        0.19637,
        0.224103,
        0.251716,
        0.272878,
        0.290231,
        0.279773,
        0.236313,
        0.207099,
        0.184172,
        0.163773,
        0.151471,
        0.146922,
        0.14522,
        0.144458,
        0.146989,
        0.149198,
        0.156535,
        0.160572,
        0.162515,
        0.165176,
        0.166922,
        0.16541,
        0.164617,
        0.16808,
        0.170054,
        0.171309,
        0.176216,
        0.185009,
        0.198558,
        0.240433,
        0.252911,
        0.233576,
        0.243819,
        0.266921,
        0.277308,
        0.293564,
        0.350834,
        0.420657,
        0.496082,
        0.557044,
        0.585146,
        0.589919,
        0.587631,
        0.549699,
        0.479972,
        0.41308,
        0.346977,
        0.305349,
        0.279693,
        0.270292,
        0.275296,
        0.298042,
        0.32274,
        0.325139,
        0.317895,
        0.29962,
        0.273354,
        0.242932,
        0.221897,
        0.207945,
        0.195264,
        0.18527,
        0.17996,
        0.173795,
        0.16627,
        0.159194,
        0.157678,
        0.155069,
        0.15576,
        0.155767,
        0.153942,
        0.15126,
        0.149014,
        0.147621,
        0.147217,
        0.148538,
        0.155313,
        0.167446,
        0.185629,
        0.201022,
        0.202283,
        0.195922,
        0.182448,
        0.166708,
        0.158406,
        0.153545,
        0.158012,
        0.166605,
        0.174364,
        0.186731,
        0.189872,
        0.191576,
        0.185279,
        0.173147,
        0.163455,
        0.156446,
        0.152739,
        0.15034,
        0.150912,
        0.16145,
        0.183064,
        0.217825,
        0.240563,
        0.233221,
        0.217756,
        0.194814,
        0.170755,
        0.156687,
        0.153377,
        0.161524,
        0.174626,
        0.183252,
        0.181679,
        0.178158,
        0.172325,
        0.174917,
        0.192078,
        0.234678,
        0.292849,
        0.333484,
        0.328207,
        0.275052,
        0.223021,
        0.18514,
        0.164903,
        0.157619,
        0.163645,
        0.180777,
        0.198362,
        0.223716,
        0.213732,
        0.180926,
        0.16538,
        0.15653,
        0.151813,
        0.160266,
        0.16894,
        0.178893,
        0.208217,
        0.233559,
        0.240639,
        0.229564,
        0.205988,
        0.185211,
        0.172798,
        0.175013,
        0.190466,
        0.215861,
        0.24083,
        0.246213,
        0.243038,
        0.223047,
        0.206372,
        0.195311,
        0.188268,
        0.203646,
        0.222631,
        0.227494,
        0.218153,
        0.199908,
        0.179418,
        0.164645,
        0.157618,
        0.159135,
        0.167706,
        0.177308,
        0.183718,
        0.18767,
        0.185684,
        0.176175,
        0.16595,
        0.15897,
        0.151584,
        0.149419,
        0.152396,
        0.161507,
        0.174652,
        0.181292,
        0.181928,
        0.181176,
        0.187861,
        0.206117,
        0.230444,
        0.251984,
        0.255265,
        0.248136,
        0.240306,
        0.225593,
        0.211904,
        0.200102,
        0.188841,
        0.181979,
        0.190158,
        0.202351,
        0.223265,
        0.245016,
        0.244619,
        0.229411,
        0.208104,
        0.188834,
        0.176516,
        0.174178,
        0.186269,
        0.196327,
        0.20169,
        0.225806,
        0.246235,
        0.257398,
        0.248935,
        0.224197,
        0.207423,
        0.197419,
        0.196034,
        0.199872,
        0.202166,
        0.206083,
        0.210335,
        0.216537,
        0.24734,
        0.253966,
        0.255549,
        0.281704,
        0.303341,
        0.32378,
        0.34436,
        0.363261,
        0.397397,
        0.448544,
        0.622011,
        0.790526,
        1.10566,
        1.29691,
        1.02799,
        0.791334,
        0.680244,
        0.423854,
        0.402757,
        0.388496,
        0.374547,
        0.362074,
        0.372585,
        0.386745,
        0.384991,
        0.349836,
        0.3051,
        0.269879,
        0.259095,
        0.258283,
        0.268997,
        0.268025,
        0.254501,
        0.235757,
        0.216865,
        0.20549,
        0.200649,
        0.194888,
        0.196287,
        0.206059,
        0.223201,
        0.251209,
        0.327386,
        0.298242,
        0.256409,
        0.248563,
        0.27124,
        0.330587,
        0.438454,
        0.542313,
        0.5282,
        0.41205,
        0.307309,
        0.252435,
        0.226483,
        0.213458,
        0.205059,
        0.197435,
        0.191054,
        0.182956,
        0.178004,
        0.175878,
        0.171174,
        0.171399,
        0.172229,
        0.174225,
        0.179448,
        0.176659,
        0.176419,
        0.176784,
        0.176369,
        0.172846,
        0.171473,
        0.165283,
        0.162897,
        0.166165,
        0.169831,
        0.176557,
        0.193143,
        null,
        0.164352,
        0.195444,
        0.216833,
        0.217285,
        0.194487,
        0.165506,
        0.149528,
        0.14223,
        0.142161,
        0.141014,
        0.137776,
        0.132995,
        0.12976,
        0.130275,
        0.131951,
        0.136236,
        0.141076,
        0.144509,
        0.143918,
        0.140518,
        0.135913,
        0.132003,
        0.128908,
        0.125652,
        0.122534,
        0.120404,
        0.118937,
        0.118407,
        0.118171,
        0.117716,
        0.126493,
        0.130216,
        0.133376,
        0.15119,
        0.168947,
        0.174922,
        0.166486,
        0.149435,
        0.137768,
        0.138701,
        0.138914,
        0.136906,
        0.134045,
        0.130002,
        0.125143,
        0.123162,
        0.12342,
        0.124692,
        0.124043,
        0.12167,
        0.122447,
        0.124843,
        0.134943,
        0.157406,
        0.190032,
        0.21327,
        0.20744,
        0.181209,
        0.152361,
        0.135865,
        0.127769,
        0.125739,
        0.129762,
        0.140259,
        0.17204,
        0.191072,
        0.18474,
        0.173046,
        0.155158,
        0.140074,
        0.133001,
        0.132885,
        0.13701,
        0.143139,
        0.154392,
        0.172961,
        0.195739,
        0.208141,
        0.201354,
        0.184132,
        0.164918,
        0.152087,
        0.147697,
        0.147794,
        0.152447,
        0.15949,
        0.172958,
        0.18945,
        0.20612,
        0.2171,
        0.21937,
        0.211158,
        0.199127,
        0.187831,
        0.178532,
        0.182222,
        0.196265,
        0.212673,
        0.217745,
        0.204664,
        0.187103,
        0.173626,
        0.1681,
        0.170073,
        0.175183,
        0.180117,
        0.185682,
        0.192717,
        0.202739,
        0.21902,
        0.233033,
        0.237335,
        0.236536,
        0.239533,
        0.254051,
        0.280369,
        0.29962,
        0.296165,
        0.262071,
        0.218776,
        0.187784,
        0.166571,
        0.154764,
        0.148382,
        0.146049,
        0.150852,
        0.168851,
        0.195263,
        0.217554,
        0.215912,
        0.194265,
        0.171619,
        0.153468,
        0.144516,
        0.13996,
        0.13743,
        0.134414,
        0.13364,
        0.133165,
        0.13136,
        0.131343,
        0.1318,
        0.130368,
        0.12998,
        0.129172,
        0.12827,
        0.127542,
        0.129345,
        0.134276,
        0.138324,
        0.149469,
        0.161716,
        0.178132,
        0.205837,
        0.229243,
        0.225946,
        0.202944,
        0.178632,
        0.161216,
        0.15369,
        0.152825,
        0.154369,
        0.158518,
        0.165332,
        0.174826,
        0.185604,
        0.200686,
        0.215203,
        0.233094,
        0.254173,
        0.282031,
        0.325276,
        0.389633,
        0.483427,
        0.63861,
        0.896224,
        1.1714,
        0.732282,
        0.629132,
        0.542039,
        0.451803,
        0.371529,
        0.307245,
        0.26967,
        0.241718,
        0.223973,
        0.209164,
        0.195892,
        0.187293,
        0.179905,
        0.175342,
        0.170357,
        0.167645,
        0.168858,
        0.177421,
        0.18603,
        0.186504,
        0.18286,
        0.180249,
        0.199686,
        0.228424,
        0.239584,
        0.246167,
        0.224818,
        0.210451,
        0.191037,
        0.17442,
        0.171085,
        0.172664,
        0.175286,
        0.180791,
        0.185339,
        0.190942,
        0.19857,
        0.206719,
        0.223489,
        0.249369,
        0.282808,
        0.32086,
        0.373926,
        0.53282,
        0.759266,
        0.946939,
        0.566329,
        0.532311,
        0.395739,
        0.351329,
        0.32341,
        0.302319,
        0.280441,
        0.264496,
        0.240229,
        0.221417,
        0.229204,
        0.241184,
        0.243876,
        0.231057,
        0.210848,
        0.190473,
        0.179173,
        0.175929,
        0.176335,
        0.182116,
        0.180897,
        0.183403,
        0.183328,
        0.182111,
        0.181055,
        0.182254,
        0.193356,
        0.210054,
        0.219866,
        0.218313,
        0.20701,
        0.194669,
        0.185998,
        0.185493,
        0.18784,
        0.191196,
        0.194285,
        0.20095,
        0.226428,
        0.240418,
        0.244928,
        0.271088,
        0.316411,
        0.382279,
        0.483046,
        0.632418,
        0.844365,
        1.07114,
        1.19838,
        1.19657,
        0.572631,
        0.468801,
        0.383803,
        0.313911,
        0.26025,
        0.226053,
        0.205403,
        0.192757,
        0.184472,
        0.175899,
        0.167948,
        0.161816,
        0.155948,
        0.149677,
        0.143453,
        0.137312,
        0.131491,
        0.127307,
        0.125062,
        0.12175,
        0.11833,
        0.116349,
        0.115256,
        0.11415,
        0.113309,
        0.112459,
        0.111656,
        0.111009,
        0.111024,
        0.111215,
        0.11224,
        0.111903,
        0.112251,
        0.116328,
        0.122207,
        0.127358,
        0.133839,
        0.130648,
        0.121588,
        0.118179,
        0.118009,
        0.119791,
        0.123306,
        0.128412,
        0.13462,
        0.140996,
        0.147334,
        0.154902,
        0.152295,
        0.143769,
        0.138531,
        0.132893,
        0.128378,
        0.124317,
        0.121454,
        0.120801,
        0.124581,
        0.135969,
        0.150837,
        0.165319,
        0.174658,
        0.171549,
        0.158874,
        0.144025,
        0.131222,
        0.122132,
        0.116043,
        0.1093,
        0.104939,
        0.103567,
        0.102897,
        0.101753,
        0.0999507,
        0.0984732,
        0.0974751,
        0.0977954,
        0.0978184,
        0.0967497,
        0.0958993,
        0.101596,
        0.101418,
        0.0957854,
        0.0971005,
        0.10018,
        0.106059,
        0.110685,
        0.112146,
        0.110349,
        0.106362,
        0.104335,
        0.10313,
        0.102256,
        0.101934,
        0.101795,
        0.100518,
        0.0999859,
        0.100264,
        0.100606,
        0.10176,
        0.108124,
        0.10944,
        0.104152,
        0.108527,
        0.111678,
        0.113046,
        0.116862,
        0.120939,
        0.126642,
        0.132822,
        0.140057,
        0.150656,
        0.165497,
        0.180904,
        0.193329,
        0.195554,
        0.190539,
        0.177263,
        0.162033,
        0.149874,
        0.141112,
        0.133433,
        0.131271,
        0.134975,
        0.141481,
        0.143879,
        0.141286,
        0.141197,
        0.141093,
        0.137195,
        0.130474,
        0.120932,
        0.110241,
        0.102439,
        0.100134,
        0.0981979,
        0.0970242,
        0.0972961,
        0.0974315,
        0.09698,
        0.0971635,
        0.0977322,
        0.0970204,
        0.095909,
        0.0963176,
        0.0982995,
        0.102884,
        0.108535,
        0.111031,
        0.109757,
        0.106936,
        0.110787,
        0.108101,
        0.0992903,
        0.0991649,
        0.0989587,
        0.099141,
        0.099153,
        0.0984853,
        0.0992694,
        0.0999154,
        0.0980017,
        0.0975613,
        0.104492,
        0.104026,
        0.097797,
        0.0983779,
        0.0978985,
        0.0973801,
        0.0971488,
        0.0965203,
        0.0978266,
        0.0994643,
        0.101124,
        0.101359,
        0.100419,
        0.0987878,
        0.0975878,
        0.0966151,
        0.0956909,
        0.095994,
        0.0958189,
        0.0952761,
        0.0946492,
        0.0941845,
        0.0944702,
        0.0940609,
        0.0929677,
        0.0922022,
        0.0923311,
        0.0929259,
        0.0934051,
        0.0939281,
        0.0936767,
        0.0927341,
        0.09213,
        0.0914307,
        0.0915078,
        0.0917796,
        0.0934142,
        0.0930298,
        0.0911531,
        0.090952,
        0.0911411,
        0.0908069,
        0.0906974,
        0.0904594,
        0.0906627,
        0.0907408,
        0.0910245,
        0.092149,
        0.0932873,
        0.0933882,
        0.0922933,
        0.092525,
        0.0932883,
        0.0948798,
        0.0962907,
        0.0982741,
        0.100854,
        0.104301,
        0.111755,
        0.118563,
        0.121175,
        0.124339,
        0.129013,
        0.133647,
        0.134139,
        0.138742,
        0.133093,
        0.119471,
        0.111524,
        0.105094,
        0.10176,
        0.0996772,
        0.097585,
        0.0969032,
        0.0954557,
        0.0940291,
        0.0931358,
        0.0933009,
        0.0945287,
        0.0919207,
        0.0909457,
        0.0909214,
        0.0908469,
        0.0908818,
        0.090396,
        0.0900737,
        0.0906855,
        0.0950223,
        0.0952208,
        0.0906831,
        0.0912715,
        0.0912425,
        0.0912643,
        0.0913987,
        0.092007,
        0.092103,
        0.0921714,
        0.0923196,
        0.09333,
        0.0940017,
        0.0945155,
        0.0943405,
        0.0951959,
        0.0965344,
        0.0975325,
        0.0988047,
        0.100767,
        0.102024,
        0.103988,
        0.104912,
        0.104047,
        0.104822,
        0.105684,
        0.107292,
        0.109416,
        0.11529,
        0.11796,
        0.120614,
        0.124829,
        0.132014,
        0.140294,
        0.148926,
        0.162315,
        0.17881,
        0.198105,
        0.209642,
        0.211862,
        0.204628,
        0.194794,
        0.184371,
        0.172102,
        0.164153,
        0.159436,
        0.157443,
        0.156867,
        0.15799,
        0.163773,
        0.16984,
        0.177518,
        0.186684,
        0.200675,
        0.219008,
        0.246809,
        0.286574,
        0.340591,
        0.527177,
        0.697356,
        0.988357,
        1.05257,
        0.719843,
        0.526168,
        0.409193,
        0.330714,
        0.274566,
        0.240015,
        0.215517,
        0.200404,
        0.191394,
        0.177175,
        0.163402,
        0.154772,
        0.146966,
        0.142057,
        0.141385,
        0.135426,
        0.124877,
        0.126657,
        0.121856,
        0.117686,
        0.116429,
        0.115835,
        0.117071,
        0.116012,
        0.119281,
        0.117379,
        0.109016,
        0.107861,
        0.105354,
        0.103193,
        0.102446,
        0.101738,
        0.101227,
        0.101106,
        0.101798,
        0.101902,
        0.101721,
        0.101843,
        0.100227,
        0.0976234,
        0.095649,
        0.0941878,
        0.0939383,
        0.0928733,
        0.0918838,
        0.091682,
        0.0911321,
        0.0899991,
        0.0899686,
        0.09018,
        0.0903163,
        0.0898546,
        0.0898625,
        0.0899698,
        0.0900983,
        0.0899336,
        0.0894324,
        0.0901806,
        0.0918702,
        0.094025,
        0.0956111,
        0.0951545,
        0.0944221,
        0.0933014,
        0.0923233,
        0.091856,
        0.0915658,
        0.0905221,
        0.0902768,
        0.0910382,
        0.09155,
        0.0922725,
        0.0930932,
        0.0934314,
        0.0951882,
        0.0971495,
        0.0992429,
        0.103348,
        0.108871,
        0.118367,
        0.129666,
        0.139875,
        0.143634,
        0.142097,
        0.137074,
        0.139265,
        0.13126,
        0.112475,
        0.10622,
        0.101501,
        0.103693,
        0.102014,
        0.09621,
        0.0961637,
        0.0954699,
        0.0941815,
        0.093158,
        0.092924,
        0.0931906,
        0.0931845,
        0.0949595,
        0.0962861,
        0.0997151,
        0.108676,
        0.123642,
        0.132377,
        0.132256,
        0.131591,
        0.132275,
        0.129485,
        0.122243,
        0.115076,
        0.107054,
        0.100925,
        0.0993306,
        0.101552,
        0.10998,
        0.115982,
        0.118531,
        0.117213,
        0.116012,
        0.115182,
        0.113979,
        0.116402,
        0.112878,
        0.104571,
        0.100278,
        0.10406,
        0.104715,
        0.102489,
        0.102948,
        0.105662,
        0.112072,
        0.131733,
        0.150912,
        0.162028,
        0.172864,
        0.173087,
        0.171447,
        0.179798,
        0.200132,
        0.226639,
        0.246921,
        0.241786,
        0.219494,
        0.192134,
        0.171947,
        0.160079,
        0.156907,
        0.160143,
        0.161696,
        0.154021,
        0.139571,
        0.125706,
        0.115172,
        0.108278,
        0.106854,
        0.110724,
        0.12049,
        0.131591,
        0.134558,
        0.126136,
        0.116729,
        0.107136,
        0.102828,
        0.0997243,
        0.0962894,
        0.0952567,
        0.095758,
        0.0985129,
        0.110117,
        0.117141,
        0.115223,
        0.11827,
        0.122593,
        0.129144,
        0.138649,
        0.144509,
        0.137643,
        0.127952,
        0.114586,
        0.104965,
        0.10619,
        0.110858,
        0.12462,
        0.145739,
        0.146676,
        0.133126,
        0.118701,
        0.105954,
        0.0994494,
        0.0968534,
        0.0972479,
        0.102718,
        0.111724,
        0.119659,
        0.122149,
        0.120336,
        0.11924,
        0.115144,
        0.109112,
        0.105836,
        0.101899,
        0.0980347,
        0.0983572,
        0.106118,
        0.114639,
        0.118862,
        0.117379,
        0.111896,
        0.105118,
        0.100019,
        0.0965738,
        0.0961434,
        0.0987806,
        0.0992045,
        0.100029,
        0.105733,
        0.111838,
        0.11956,
        0.12389,
        0.120045,
        0.113695,
        0.106156,
        0.101122,
        0.0990029,
        0.0994353,
        0.100714,
        0.104091,
        0.112498,
        0.127104,
        0.141915,
        0.148841,
        0.156839,
        0.15297,
        0.137561,
        0.128228,
        0.120132,
        0.117281,
        0.119054,
        0.128447,
        0.138144,
        0.138031,
        0.129163,
        0.116887,
        0.105555,
        0.0989744,
        0.0964648,
        0.0963416,
        0.098987,
        0.106882,
        0.121624,
        0.140435,
        0.14653,
        0.140912,
        0.133184,
        0.122036,
        0.116211,
        0.116455,
        0.117928,
        0.119316,
        0.126455,
        0.131917,
        0.136774,
        0.152084,
        0.167539,
        0.175292,
        0.168708,
        0.155959,
        0.145717,
        0.14266,
        0.147472,
        0.153238,
        0.149931,
        0.138322,
        0.125718,
        0.115469,
        0.108122,
        0.106891,
        0.111676,
        0.120181,
        0.128491,
        0.133634,
        0.133475,
        0.128753,
        0.119344,
        0.112413,
        0.111368,
        0.109417,
        0.107538,
        0.111171,
        0.112511,
        0.111856,
        0.111277,
        0.110818,
        0.116328,
        0.13424,
        0.15529,
        0.167277,
        0.158886,
        0.139537,
        0.120953,
        0.108647,
        0.103175,
        0.10322,
        0.105656,
        0.11691,
        0.129958,
        0.144796,
        0.161537,
        0.159416,
        0.148713,
        0.141538,
        0.137912,
        0.143146,
        0.151771,
        0.157398,
        0.158666,
        0.160581,
        0.16396,
        0.184144,
        0.211048,
        0.225699,
        0.224224,
        0.205933,
        0.179054,
        0.157838,
        0.140242,
        0.133171,
        0.12853,
        0.122243,
        0.119846,
        0.116811,
        0.117232,
        0.125135,
        0.142259,
        0.160266,
        0.166292,
        0.1542,
        0.13578,
        0.119885,
        0.108093,
        0.102531,
        0.10007,
        0.099463,
        0.0977204,
        0.0968535,
        0.0967179,
        0.097443,
        0.0985844,
        0.0994496,
        0.10285,
        0.110339,
        0.119261,
        0.122854,
        0.121873,
        0.121676,
        0.12228,
        0.124022,
        0.12676,
        0.127101,
        0.12367,
        0.114059,
        0.10632,
        0.104179,
        0.104343,
        0.10589,
        0.109183,
        0.116305,
        0.12801,
        0.142759,
        0.152779,
        0.149977,
        0.140084,
        0.134634,
        0.136943,
        0.140836,
        0.139267,
        0.132977,
        0.127952,
        0.121589,
        0.116943,
        0.113573,
        0.111699,
        0.10975,
        0.107884,
        0.111183,
        0.122855,
        0.138809,
        0.156137,
        0.166252,
        0.164486,
        0.15591,
        0.145887,
        0.138623,
        0.130128,
        0.122993,
        0.117851,
        0.113366,
        0.109973,
        0.112081,
        0.118392,
        0.130736,
        0.14341,
        0.148043,
        0.145317,
        0.13646,
        0.12672,
        0.117411,
        0.112112,
        0.110899,
        0.112661,
        0.118466,
        0.125115,
        0.126977,
        0.12447,
        0.122741,
        0.123197,
        0.130883,
        0.135941,
        0.134592,
        0.129139,
        0.121876,
        0.11663,
        0.113561,
        0.11166,
        0.111098,
        0.111112,
        0.111857,
        0.113182,
        0.116265,
        0.122139,
        0.129657,
        0.137624,
        0.147961,
        0.16313,
        0.180227,
        0.189907,
        0.187774,
        0.18021,
        0.174819,
        0.168653,
        0.166459,
        0.170667,
        0.179747,
        0.197022,
        0.220902,
        0.250585,
        0.284567,
        0.317498,
        0.345901,
        0.371482,
        0.403647,
        0.429166,
        0.500543,
        0.5228,
        0.517913,
        0.523178,
        0.538192,
        0.583458,
        0.679151,
        1.02029,
        0.750252,
        0.633283,
        0.596346,
        0.556645,
        0.415852,
        0.36678,
        0.313339,
        0.271819,
        0.235884,
        0.210343,
        0.193546,
        0.185925,
        0.184083,
        0.185424,
        0.18361,
        0.180344,
        0.183715,
        0.195907,
        0.217156,
        0.249266,
        0.262429,
        0.248302,
        0.23613,
        0.240706,
        0.235193,
        0.228582,
        0.218246,
        0.206414,
        0.194556,
        0.182436,
        0.172667,
        0.168283,
        0.167595,
        0.165086,
        0.157485,
        0.147518,
        0.144399,
        0.14047,
        0.136226,
        0.136641,
        0.131318,
        0.125746,
        0.120976,
        0.120208,
        0.126013,
        0.141039,
        0.163274,
        0.182832,
        0.188047,
        0.183666,
        0.182838,
        0.16562,
        0.144936,
        0.138382,
        0.134042,
        0.128459,
        0.123405,
        0.117524,
        0.112412,
        0.108767,
        0.106137,
        0.105034,
        0.105164,
        0.106607,
        0.110237,
        0.115087,
        0.120733,
        0.128771,
        0.135799,
        0.137969,
        0.134682,
        0.131109,
        0.127266,
        0.122111,
        0.118479,
        0.113442,
        0.109417,
        0.108599,
        0.111025,
        0.115499,
        0.119111,
        0.119725,
        0.116554,
        0.112836,
        0.11514,
        0.120232,
        0.117516,
        0.116569,
        0.123017,
        0.129317,
        0.132481,
        0.134875,
        0.135784,
        0.142027,
        0.161105,
        0.192096,
        0.221089,
        0.22615,
        0.213355,
        0.202617,
        0.192071,
        0.186656,
        0.185518,
        0.18523,
        0.186156,
        0.191676,
        0.199606,
        0.210887,
        0.22813,
        0.254445,
        0.294557,
        0.344251,
        0.404537,
        0.463488,
        0.518066,
        0.582495,
        0.645991,
        0.644305,
        0.564735,
        0.495632,
        0.424776,
        0.335761,
        0.303551,
        0.297593,
        0.291823,
        0.284428,
        0.267514,
        0.242914,
        0.219258,
        0.196424,
        0.179162,
        0.168774,
        0.169568,
        0.167956,
        0.162792,
        0.167418,
        0.164389,
        0.149833,
        0.140344,
        0.135986,
        0.128647,
        0.126231,
        0.123465,
        0.121865,
        0.133117,
        0.131206,
        0.122056,
        0.123565,
        0.128107,
        0.135076,
        0.151198,
        0.172678,
        0.187795,
        0.187254,
        0.177738,
        0.166977,
        0.160231,
        0.161965,
        0.17081,
        0.179068,
        0.18311,
        0.176733,
        0.16525,
        0.15403,
        0.144629,
        0.143768,
        0.140955,
        0.143315,
        0.144948,
        0.138663,
        0.138977,
        0.138221,
        0.139097,
        0.141966,
        0.146808,
        0.152541,
        0.161455,
        0.171627,
        0.18136,
        0.195427,
        0.21058,
        0.222232,
        0.22765,
        0.229349,
        0.224804,
        0.221382,
        0.222558,
        0.222998,
        0.221369,
        0.212519,
        0.198768,
        0.183061,
        0.17742,
        0.171396,
        0.154891,
        0.150975,
        0.148202,
        0.143235,
        0.13965,
        0.141535,
        0.140541,
        0.129395,
        0.128176,
        0.131185,
        0.138174,
        0.146807,
        0.157433,
        0.172607,
        0.194051,
        0.224491,
        0.258292,
        0.279104,
        0.289636,
        0.260488,
        0.211482,
        0.181588,
        0.166766,
        0.152503,
        0.140598,
        0.131971,
        0.124577,
        0.11866,
        0.116081,
        0.114855,
        0.118604,
        0.120941,
        0.121636,
        0.124119,
        0.120901,
        0.1211,
        0.121799,
        0.12348,
        0.131495,
        0.14741,
        0.176743,
        0.213593,
        0.239587,
        0.239374,
        0.219894,
        0.189181,
        0.163081,
        0.143964,
        0.129515,
        0.121587,
        0.117056,
        0.118728,
        0.116769,
        0.116146,
        0.116085,
        0.11606,
        0.114284,
        0.110558,
        0.107301,
        0.105603,
        0.105512,
        0.107744,
        0.108091,
        0.109497,
        0.112623,
        0.11965,
        0.131388,
        0.1416,
        0.146438,
        0.144413,
        0.141265,
        0.144143,
        0.137834,
        0.126308,
        0.121657,
        0.11585,
        0.110277,
        0.105589,
        0.10396,
        0.104224,
        0.103814,
        0.103305,
        0.102669,
        0.102642,
        0.103821,
        0.105337,
        0.108931,
        0.113106,
        0.11836,
        0.120343,
        0.120523,
        0.118252,
        0.114978,
        0.110958,
        0.108316,
        0.106103,
        0.107149,
        0.108263,
        0.111629,
        0.112108,
        0.113757,
        0.119551,
        0.129301,
        0.141446,
        0.153157,
        0.152719,
        0.14193,
        0.131948,
        0.130022,
        0.122689,
        0.116213,
        0.115202,
        0.116821,
        0.125205,
        0.141807,
        0.158976,
        0.164732,
        0.156361,
        0.157885,
        0.141992,
        0.121652,
        0.118195,
        0.117699,
        0.117932,
        0.116447,
        0.114135,
        0.113497,
        0.111773,
        0.11102,
        0.109491,
        0.108535,
        0.107426,
        0.1108,
        0.116985,
        0.121584,
        0.124408,
        0.125703,
        0.127168,
        0.123095,
        0.11423,
        0.109676,
        0.108723,
        0.109584,
        0.11448,
        0.117337,
        0.117603,
        0.120489,
        0.123655,
        0.131762,
        0.144173,
        0.168373,
        0.201346,
        0.228796,
        0.237263,
        0.220186,
        0.194521,
        0.171199,
        0.155524,
        0.15963,
        0.153156,
        0.135053,
        0.13047,
        0.127612,
        0.124133,
        0.121389,
        0.119502,
        0.118862,
        0.117379,
        0.122208,
        0.126081,
        0.129104,
        0.130591,
        0.133062,
        0.129602,
        0.123997,
        0.122998,
        0.128858,
        0.14313,
        0.162897,
        0.185224,
        0.191172,
        0.178733,
        0.159729,
        0.141032,
        0.12685,
        0.122422,
        0.11851,
        0.115784,
        0.117168,
        0.118531,
        0.121132,
        0.121474,
        0.120373,
        0.120138,
        0.120051,
        0.120962,
        0.124612,
        0.130525,
        0.141025,
        0.144599,
        0.146057,
        0.155246,
        0.166764,
        0.173421,
        0.17674,
        0.182803,
        0.182422,
        0.179399,
        0.171128,
        0.159782,
        0.15147,
        0.141977,
        0.13391,
        0.131309,
        0.132082,
        0.136777,
        0.146381,
        0.156363,
        0.155769,
        0.148835,
        0.139525,
        0.130868,
        0.127063,
        0.122443,
        0.122168,
        0.120555,
        0.122092,
        0.122591,
        0.123389,
        0.123588,
        0.123498,
        0.124483,
        0.131049,
        0.137482,
        0.138027,
        0.134598,
        0.140812,
        0.153144,
        0.174375,
        0.196844,
        0.204949,
        0.195897,
        0.17791,
        0.160006,
        0.146122,
        0.139807,
        0.138996,
        0.141362,
        0.139456,
        0.135969,
        0.135094,
        0.132918,
        0.132439,
        0.132908,
        0.133943,
        0.135651,
        0.137535,
        0.139325,
        0.137765,
        0.136124,
        0.139932,
        0.141791,
        0.140544,
        0.145649,
        0.152731,
        0.165532,
        0.185425,
        0.192205,
        0.189967,
        0.206567,
        0.237063,
        0.278119,
        0.315767,
        0.306589,
        0.283834,
        0.252453,
        0.22789,
        0.217332,
        0.218803,
        0.23028,
        0.247273,
        0.270056,
        0.291833,
        0.331552,
        0.38317,
        0.447192,
        0.555219,
        0.717597,
        0.977484,
        1.45324,
        0.638379,
        0.509317,
        0.426548,
        0.370082,
        0.323526,
        0.288651,
        0.263492,
        0.241781,
        0.224486,
        0.207207,
        0.20017,
        0.191203,
        0.18104,
        0.1751,
        0.172991,
        0.169623,
        0.164959,
        0.155763,
        0.155583,
        0.153012,
        0.15133,
        0.153298,
        0.155027,
        0.157739,
        0.163007,
        0.17079,
        0.178523,
        0.179792,
        0.180847,
        0.17911,
        0.182002,
        0.193161,
        0.200144,
        0.202351,
        0.195801,
        0.185297,
        0.172963,
        0.165549,
        0.167436,
        0.18062,
        0.214382,
        0.248817,
        0.235457,
        0.223684,
        0.205447,
        0.187409,
        0.172788,
        0.167197,
        0.166883,
        0.163746,
        0.160718,
        0.154976,
        0.151611,
        0.149013,
        0.14319,
        0.144785,
        0.145212,
        0.14308,
        0.142528,
        0.140714,
        0.139637,
        0.137556,
        0.135356,
        0.13504,
        0.13474,
        0.136355,
        0.135624,
        0.133666,
        0.138772,
        0.138592,
        0.13414,
        0.133725,
        0.133108,
        0.135155,
        0.141433,
        0.142924,
        0.139539,
        0.142848,
        0.149154,
        0.161011,
        0.178652,
        0.207926,
        0.239083,
        0.258956,
        0.252788,
        0.226862,
        0.203213,
        0.186874,
        0.174665,
        0.170281,
        0.18363,
        0.188698,
        0.186697,
        0.188255,
        0.185,
        0.181246,
        0.175179,
        0.168758,
        0.159527,
        0.151921,
        0.146561,
        0.14166,
        0.138503,
        0.134667,
        0.1326,
        0.131834,
        0.130372,
        0.130152,
        0.133773,
        0.138702,
        0.146088,
        0.158635,
        0.173575,
        0.185919,
        0.182017,
        0.173121,
        0.15878,
        0.148692,
        0.139587,
        0.135651,
        0.135817,
        0.136292,
        0.137519,
        0.139662,
        0.14009,
        0.138955,
        0.139198,
        0.13984,
        0.139712,
        0.137873,
        0.135815,
        0.135648,
        0.133567,
        0.132543,
        0.132532,
        0.137868,
        0.137349,
        0.132718,
        0.135386,
        0.13916,
        0.146747,
        0.153863,
        0.157439,
        0.158563,
        0.156605,
        0.152989,
        0.165766,
        0.164886,
        0.157392,
        0.171461,
        0.188405,
        0.194668,
        0.189732,
        0.178175,
        0.166824,
        0.15514,
        0.1441,
        0.138216,
        0.148403,
        0.154281,
        0.146817,
        0.147777,
        0.149683,
        0.150889,
        0.150965,
        0.147866,
        0.145934,
        0.142885,
        0.142088,
        0.145648,
        0.15613,
        0.175378,
        0.201529,
        0.213379,
        0.214644,
        0.202495,
        0.177931,
        0.157739,
        0.145821,
        0.14377,
        0.150372,
        0.148558,
        0.139142,
        0.13865,
        0.149941,
        0.148395,
        0.139829,
        0.143203,
        0.140908,
        0.137153,
        0.137639,
        0.142344,
        0.148832,
        0.149689,
        0.148338,
        0.150958,
        0.153943,
        0.155511,
        0.16474,
        0.180293,
        0.190103,
        0.187702,
        0.179612,
        0.167582,
        0.155028,
        0.147191,
        0.145987,
        0.145751,
        0.147486,
        0.153189,
        0.163339,
        0.184659,
        0.219064,
        0.260979,
        0.285541,
        0.276437,
        0.241237,
        0.205502,
        0.180013,
        0.162442,
        0.147178,
        0.143319,
        0.141117,
        0.141592,
        0.142205,
        0.143525,
        0.145537,
        0.144823,
        0.144745,
        0.147343,
        0.148192,
        0.15282,
        0.169094,
        0.195532,
        0.214259,
        0.216074,
        0.205648,
        0.191098,
        0.176711,
        0.170071,
        0.169137,
        0.171177,
        0.173166,
        0.175112,
        0.174892,
        0.171452,
        0.169,
        0.165213,
        0.160719,
        0.156225,
        0.153605,
        0.151332,
        0.149367,
        0.148609,
        0.147981,
        0.153589,
        0.154633,
        0.153142,
        0.162465,
        0.174234,
        0.185642,
        0.189858,
        0.185722,
        0.197271,
        0.187393,
        0.163135,
        0.15872,
        0.160655,
        0.165151,
        0.171277,
        0.18589,
        0.207284,
        0.221527,
        0.224957,
        0.218508,
        0.212488,
        0.220724,
        0.244964,
        0.265718,
        0.264362,
        0.247993,
        0.22681,
        0.213863,
        0.206378,
        0.203177,
        0.204682,
        0.205999,
        0.20462,
        0.199832,
        0.192704,
        0.186433,
        0.179906,
        0.174346,
        0.170359,
        0.164663,
        0.160037,
        0.159632,
        0.160103,
        0.160243,
        0.169201,
        0.16882,
        0.1568,
        0.15609,
        0.15644,
        0.15518,
        0.159169,
        0.160187,
        0.161787,
        0.165255,
        0.165802,
        0.176519,
        0.180854,
        0.176881,
        0.175272,
        0.174632,
        0.178042,
        0.180805,
        0.197322,
        0.207504,
        0.214805,
        0.244218,
        0.274763,
        0.29483,
        0.312533,
        0.331456,
        0.360881,
        0.391939,
        0.408146,
        0.400036,
        0.376726,
        0.351703,
        0.353835,
        0.368713,
        0.400002,
        0.444202,
        0.488772,
        0.619672,
        2.4345,
        2.48863,
        1.37991,
        1.06689,
        0.847157,
        0.703314,
        0.597761,
        0.5142,
        0.467124,
        0.459668,
        0.446258,
        0.42411,
        0.368329,
        0.31761,
        0.270981,
        0.245589,
        0.233877,
        0.222138,
        0.211238,
        0.207986,
        0.205996,
        0.20009,
        0.197738,
        0.208026,
        0.202688,
        0.19081,
        0.192105,
        0.197526,
        0.198051,
        0.194884,
        0.19423,
        0.194464,
        0.200828,
        0.220115,
        0.230932,
        0.225693,
        0.218069,
        0.206389,
        0.193614,
        0.184718,
        0.182484,
        0.183956,
        0.184567,
        0.186436,
        0.188827,
        0.204725,
        0.224124,
        0.243924,
        0.263021,
        0.270192,
        0.255619,
        0.226349,
        0.208046,
        0.196133,
        0.191403,
        0.189907,
        0.187455,
        0.18755,
        0.187438,
        0.188814,
        0.18748,
        0.188754,
        0.190329,
        0.191179,
        0.196661,
        0.214648,
        0.249124,
        0.282676,
        0.296164,
        0.274372,
        0.244871,
        null,
        0.141966,
        0.143983,
        0.146228,
        0.148245,
        0.150618,
        0.158809,
        0.178577,
        0.203034,
        0.212692,
        0.201539,
        0.181282,
        0.163251,
        0.156157,
        0.150501,
        0.152093,
        0.156103,
        0.157665,
        0.156906,
        0.153287,
        0.149563,
        0.145884,
        0.141085,
        0.13797,
        0.135631,
        0.13416,
        0.132688,
        0.131971,
        0.133283,
        0.140434,
        0.137846,
        0.133273,
        0.132709,
        0.13387,
        0.138162,
        0.147429,
        0.162574,
        0.181994,
        0.197313,
        0.202998,
        0.205913,
        0.192758,
        0.171446,
        0.161753,
        0.156342,
        0.155068,
        0.156526,
        0.160537,
        0.166206,
        0.172563,
        0.179958,
        0.188779,
        0.203163,
        0.222241,
        0.244342,
        0.274648,
        0.314543,
        0.946826,
        1.72058,
        2.16951,
        0.588214,
        0.473563,
        0.426081,
        0.385016,
        0.358508,
        0.372317,
        0.366129,
        0.345256,
        0.29482,
        0.241285,
        0.207842,
        0.187567,
        0.174951,
        0.16791,
        0.161628,
        0.158684,
        0.15922,
        0.176732,
        0.185944,
        0.176049,
        0.16927,
        0.15819,
        0.147925,
        0.14039,
        0.137066,
        0.133899,
        0.132098,
        0.130395,
        0.128939,
        0.128074,
        0.127075,
        0.127606,
        0.130659,
        0.137064,
        0.150997,
        0.181348,
        0.221013,
        0.243635,
        0.231066,
        0.197256,
        0.16464,
        0.14368,
        0.13369,
        0.12844,
        0.124919,
        0.122322,
        0.120334,
        0.119353,
        0.119714,
        0.120698,
        0.120414,
        0.119503,
        0.119439,
        0.11767,
        0.117956,
        0.119268,
        0.118867,
        0.118117,
        0.117236,
        0.117017,
        0.114889,
        0.112707,
        0.113533,
        0.113783,
        0.122065,
        0.126534,
        0.122686,
        0.121457,
        0.115952,
        0.116312,
        0.115498,
        0.114625,
        0.115525,
        0.114898,
        0.115411,
        0.118262,
        0.127353,
        0.14405,
        0.170836,
        0.178834,
        0.163133,
        0.14787,
        0.13351,
        0.128051,
        0.13413,
        0.16585,
        0.190124,
        0.18615,
        0.183653,
        0.167529,
        0.149615,
        0.135926,
        0.127487,
        0.122013,
        0.11965,
        0.119294,
        0.118601,
        0.116292,
        0.11425,
        0.113226,
        0.113015,
        0.112685,
        0.112776,
        0.112882,
        0.125079,
        0.127352,
        0.117996,
        0.119455,
        0.121191,
        0.124628,
        0.129399,
        0.14179,
        0.146782,
        0.142651,
        0.147246,
        0.152333,
        0.167431,
        0.194183,
        0.201537,
        0.181922,
        0.159859,
        0.13981,
        0.127734,
        0.120771,
        0.11661,
        0.114876,
        0.114825,
        0.1173,
        0.13473,
        0.145955,
        0.142466,
        0.139406,
        0.130598,
        0.120114,
        0.112511,
        0.108945,
        0.107624,
        0.106757,
        0.105521,
        0.105016,
        0.104625,
        0.106194,
        0.109586,
        0.113559,
        0.118851,
        0.120909,
        0.122319,
        0.123784,
        0.129294,
        0.143814,
        0.156963,
        0.156507,
        0.147415,
        0.135142,
        0.12519,
        0.123372,
        0.133879,
        0.15358,
        0.173369,
        0.176271,
        0.176495,
        0.155851,
        0.128054,
        0.119269,
        0.114145,
        0.126916,
        0.127041,
        0.112599,
        0.112375,
        0.113481,
        0.114892,
        0.116975,
        0.118395,
        0.119216,
        0.121387,
        0.130526,
        0.13068,
        0.123974,
        0.122843,
        0.121288,
        0.119247,
        0.117898,
        0.119447,
        0.121299,
        0.121389,
        0.121331,
        0.121766,
        0.127498,
        0.138816,
        0.153362,
        0.168645,
        0.183655,
        0.191525,
        0.183937,
        0.163733,
        0.149261,
        0.142076,
        0.13585,
        0.128596,
        0.126763,
        0.127138,
        0.126077,
        0.124674,
        0.123561,
        0.122194,
        0.120781,
        0.120882,
        0.121599,
        0.12133,
        0.119647,
        0.117891,
        0.11647,
        0.115266,
        0.115085,
        0.117499,
        0.126185,
        0.139572,
        0.153861,
        0.177337,
        0.188535,
        0.181024,
        0.165344,
        0.1503,
        0.144046,
        0.142782,
        0.142278,
        0.145144,
        0.151805,
        0.164074,
        0.183066,
        0.201112,
        0.205154,
        0.19475,
        0.176935,
        0.164061,
        0.167164,
        0.183266,
        0.195228,
        0.192,
        0.177372,
        0.161632,
        0.155449,
        0.162551,
        0.174088,
        0.179595,
        0.176438,
        0.166812,
        0.155977,
        0.152521,
        0.153981,
        0.15814,
        0.165771,
        0.171875,
        0.181058,
        0.193982,
        0.201875,
        0.206463,
        0.215689,
        0.234241,
        0.265435,
        0.332016,
        0.444069,
        0.566319,
        0.815601,
        2.70852,
        0.643558,
        0.472401,
        0.381839,
        0.31744,
        0.278976,
        0.244187,
        0.22032,
        0.205343,
        0.193637,
        0.183493,
        0.176033,
        0.173849,
        0.16647,
        0.156955,
        0.152303,
        0.145561,
        0.14144,
        0.139924,
        0.139572,
        0.137587,
        0.138101,
        0.135849,
        0.132493,
        0.129891,
        0.127255,
        0.125485,
        0.123619,
        0.122502,
        0.123709,
        0.127729,
        0.13599,
        0.146227,
        0.153133,
        0.154704,
        0.154701,
        0.160134,
        0.169473,
        0.171323,
        0.164166,
        0.152568,
        0.134831,
        0.125014,
        0.122661,
        0.125552,
        0.146958,
        0.166923,
        0.177667,
        0.18938,
        0.1818,
        0.16462,
        0.146447,
        0.134535,
        0.128403,
        0.124516,
        0.120038,
        0.117625,
        0.115991,
        0.115501,
        0.116494,
        0.118874,
        0.121746,
        0.125273,
        0.128364,
        0.13032,
        0.131327,
        0.129746,
        0.127378,
        0.126583,
        0.125504,
        0.124557,
        0.126328,
        0.130412,
        0.135201,
        0.14262,
        0.149094,
        0.153977,
        0.155552,
        0.15811,
        0.166627,
        0.184126,
        0.205963,
        0.215994,
        0.209767,
        0.197318,
        0.184055,
        0.180676,
        0.189176,
        0.202501,
        0.209731,
        0.203736,
        0.186899,
        0.171302,
        0.163966,
        0.165656,
        0.169862,
        0.174903,
        0.177939,
        0.176899,
        0.176933,
        0.176637,
        0.174251,
        0.17101,
        0.167398,
        0.162686,
        0.163145,
        0.168846,
        0.177778,
        0.194981,
        0.206576,
        0.199488,
        0.200865,
        0.208024,
        0.223022,
        0.259545,
        0.304855,
        0.355117,
        0.383964,
        0.359138,
        0.314771,
        0.27217,
        0.256252,
        0.240778,
        0.227212,
        0.234032,
        0.246334,
        0.258813,
        0.265295,
        0.270485,
        0.269615,
        0.270095,
        0.278769,
        0.292395,
        0.314466,
        0.33863,
        0.346409,
        0.351427,
        0.361823,
        0.377216,
        0.399257,
        0.427167,
        0.449716,
        0.479388,
        0.595273,
        0.669679,
        0.900222,
        0.927191,
        1.00817,
        1.09713,
        1.23466,
        1.15855,
        0.990104,
        0.64713,
        0.514739,
        0.408983,
        0.334494,
        0.284506,
        0.247259,
        0.217841,
        0.196623,
        0.181492,
        0.167148,
        0.156545,
        0.146545,
        0.140554,
        0.137792,
        0.135922,
        0.134799,
        0.134409,
        0.136116,
        0.143975,
        0.159083,
        0.177523,
        0.187481,
        0.181057,
        0.163438,
        0.143061,
        0.128467,
        0.118444,
        0.113984,
        0.11316,
        0.114938,
        0.117529,
        0.119726,
        0.119179,
        0.119602,
        0.11549,
        0.117525,
        0.118003,
        0.117386,
        0.130662,
        0.153089,
        0.174739,
        0.191116,
        0.209913,
        0.226346,
        0.225803,
        0.205924,
        0.175283,
        0.142782,
        0.125621,
        0.114693,
        0.105485,
        0.101976,
        0.100242,
        0.0988527,
        0.0978688,
        0.101457,
        0.102082,
        0.0994103,
        0.0999003,
        0.100007,
        0.0994401,
        0.101566,
        0.108035,
        0.119947,
        0.137036,
        0.151995,
        0.155842,
        0.146623,
        0.131781,
        0.12253,
        0.123325,
        0.132089,
        0.13989,
        0.138391,
        0.13583,
        0.123608,
        0.108084,
        0.106392,
        0.103709,
        0.0996025,
        0.0989803,
        0.0972402,
        0.096986,
        0.0968364,
        0.0975099,
        0.0984485,
        0.0977608,
        0.0975093,
        0.0984164,
        0.0997246,
        0.0985664,
        0.0983704,
        0.0983475,
        0.0991068,
        0.0997793,
        0.100629,
        0.10131,
        0.102138,
        0.103418,
        0.105963,
        0.108308,
        0.114469,
        0.123548,
        0.13094,
        0.133388,
        0.131345,
        0.12623,
        0.121739,
        0.120453,
        0.12152,
        0.13151,
        0.135444,
        0.135501,
        0.147665,
        0.157948,
        0.156921,
        0.149452,
        0.137297,
        0.123003,
        0.114639,
        0.112879,
        0.112926,
        0.115485,
        0.122748,
        0.136581,
        0.150551,
        0.151373,
        0.143976,
        0.129169,
        0.113653,
        0.10496,
        0.101242,
        0.10736,
        0.106474,
        0.0985185,
        0.0948218,
        0.0947443,
        0.0957975,
        0.0952856,
        0.0956394,
        0.0959448,
        0.095911,
        0.101782,
        0.103942,
        0.10121,
        0.101826,
        0.101551,
        0.100948,
        0.0996826,
        0.0994715,
        0.100045,
        0.100119,
        0.10048,
        0.100861,
        0.102948,
        0.107157,
        0.111849,
        0.116476,
        0.11833,
        0.119737,
        0.122866,
        0.131131,
        0.149086,
        0.170283,
        0.182783,
        0.185116,
        0.174873,
        0.15822,
        0.142988,
        0.131577,
        0.123542,
        0.120897,
        0.119866,
        0.122708,
        0.127239,
        0.133577,
        0.140426,
        0.153864,
        0.172974,
        0.194963,
        0.204658,
        0.197308,
        0.181979,
        0.163388,
        0.147205,
        0.136031,
        0.128554,
        0.124989,
        0.122874,
        0.123042,
        0.12399,
        0.125093,
        0.132272,
        0.148351,
        0.171482,
        0.19439,
        0.209059,
        0.202855,
        0.17676,
        0.149082,
        0.129353,
        0.11535,
        0.108033,
        0.105146,
        0.103783,
        0.102856,
        0.102007,
        0.102407,
        0.10352,
        0.103657,
        0.104307,
        0.105695,
        0.106434,
        0.105588,
        0.104775,
        0.103525,
        0.102241,
        0.101951,
        0.1022,
        0.101835,
        0.101986,
        0.102606,
        0.105061,
        0.1089,
        0.115634,
        0.124272,
        0.128071,
        0.129571,
        0.121431,
        0.11041,
        0.104409,
        0.102111,
        0.102082,
        0.101634,
        0.101012,
        0.101094,
        0.102766,
        0.109343,
        0.120013,
        0.133836,
        0.139503,
        0.135633,
        0.125987,
        0.115011,
        0.107566,
        0.103679,
        0.10358,
        0.103305,
        0.102242,
        0.106654,
        0.108778,
        0.107802,
        0.110717,
        0.111411,
        0.111792,
        0.112004,
        0.111179,
        0.111194,
        0.113486,
        0.116559,
        0.11961,
        0.122457,
        0.122906,
        0.120897,
        0.119407,
        0.11848,
        0.119688,
        0.128768,
        0.136514,
        0.152969,
        0.177475,
        0.185618,
        0.182503,
        0.168778,
        0.149134,
        0.134687,
        0.127446,
        0.13015,
        0.132294,
        0.127588,
        0.128004,
        0.131014,
        0.136661,
        0.146283,
        0.159717,
        0.171125,
        0.169288,
        0.158187,
        0.159236,
        0.178035,
        0.1811,
        0.176749,
        0.187379,
        0.187327,
        0.182543,
        0.182779,
        0.201397,
        0.240735,
        0.301459,
        0.356499,
        0.356525,
        0.323186,
        0.287167,
        0.270968,
        0.2818,
        0.312256,
        0.374167,
        0.477557,
        0.66607,
        0.99918,
        2.10726,
        2.09267,
        0.479648,
        0.382269,
        0.311654,
        0.271814,
        0.251543,
        0.24192,
        0.237988,
        0.246537,
        0.266373,
        0.28201,
        0.276285,
        0.260776,
        0.239576,
        0.227426,
        0.229022,
        0.233791,
        0.237548,
        0.247378,
        0.257911,
        0.266815,
        0.28755,
        0.299372,
        0.300684,
        0.310962,
        0.399638,
        0.431997,
        0.523872,
        0.604523,
        0.805387,
        0.904767,
        1.03286,
        2.16651,
        1.53274,
        1.21027,
        1.00148,
        0.847337,
        0.718142,
        0.625757,
        0.576411,
        0.547512,
        0.478104,
        0.453176,
        0.446234,
        0.453903,
        0.453255,
        0.480376,
        0.531345,
        0.579218,
        0.652113,
        1.38778,
        1.49329,
        0.639749,
        0.562967,
        0.530196,
        0.532583,
        0.467206,
        0.380718,
        0.344829,
        0.292212,
        0.240443,
        0.21437,
        0.204507,
        0.196181,
        0.188599,
        0.181782,
        0.174693,
        0.169889,
        0.167587,
        0.163846,
        0.158782,
        0.158511,
        0.159401,
        0.16029,
        0.160077,
        0.159513,
        0.157043,
        0.161819,
        0.159775,
        0.157229,
        0.16504,
        0.181042,
        0.201656,
        0.210271,
        0.200273,
        0.179912,
        0.160888,
        0.15051,
        0.14936,
        0.159511,
        0.174708,
        0.190684,
        0.20597,
        0.181484,
        0.149555,
        0.138279,
        0.1325,
        0.130855,
        0.131985,
        0.128712,
        0.126328,
        0.123629,
        0.126027,
        0.123565,
        0.122811,
        0.122276,
        0.122088,
        0.120871,
        0.12015,
        0.118668,
        0.120678,
        0.125091,
        0.132568,
        0.139397,
        0.138126,
        0.130256,
        0.122166,
        0.11542,
        0.115228,
        0.114786,
        0.109855,
        0.109899,
        0.110805,
        0.112745,
        0.112515,
        0.113214,
        0.113703,
        0.115444,
        0.116227,
        0.115822,
        0.117891,
        0.120473,
        0.130084,
        0.139894,
        0.144753,
        0.140626,
        0.130222,
        0.119798,
        0.115672,
        0.115649,
        0.116161,
        0.115962,
        0.114199,
        0.113125,
        0.112842,
        0.113446,
        0.121491,
        0.1208,
        0.112343,
        0.110615,
        0.109873,
        0.111679,
        0.111446,
        0.112194,
        0.11317,
        0.114949,
        0.119004,
        0.12006,
        0.120374,
        0.123176,
        0.124309,
        0.128384,
        0.137649,
        0.152762,
        0.179149,
        0.202448,
        0.212835,
        0.211871,
        0.209718,
        0.203865,
        0.200406,
        0.207543,
        0.214957,
        0.228203,
        0.25718,
        0.312107,
        0.38235,
        0.464081,
        0.524863,
        0.504409,
        0.422429,
        0.340602,
        0.279538,
        0.240094,
        0.226213,
        0.226376,
        0.210649,
        0.194211,
        0.17734,
        0.159488,
        0.145652,
        0.13647,
        0.131386,
        0.129777,
        0.129517,
        0.12762,
        0.125847,
        0.128538,
        0.137324,
        0.155703,
        0.179019,
        0.198715,
        0.211622,
        0.216652,
        0.188445,
        0.1623,
        0.151848,
        0.156972,
        0.166718,
        0.163656,
        0.153135,
        0.138121,
        0.124075,
        0.11789,
        0.115571,
        0.115854,
        0.114836,
        0.110815,
        0.114249,
        0.117424,
        0.119284,
        0.12054,
        0.116444,
        0.116929,
        0.121603,
        0.134177,
        0.147726,
        0.151624,
        0.144382,
        0.131343,
        0.118174,
        0.112601,
        0.108812,
        0.107479,
        0.106856,
        0.106495,
        0.105821,
        0.105651,
        0.106767,
        0.106491,
        0.106652,
        0.108423,
        0.111919,
        0.119501,
        0.126095,
        0.126196,
        0.123461,
        0.118331,
        0.113035,
        0.110287,
        0.111443,
        0.11367,
        0.115187,
        0.115957,
        0.115951,
        0.116815,
        0.117551,
        0.118523,
        0.12178,
        0.124653,
        0.135986,
        0.135876,
        0.125888,
        0.124386,
        0.126686,
        0.129052,
        0.135981,
        0.163355,
        0.172135,
        0.162984,
        0.152211,
        0.139196,
        0.130231,
        0.125838,
        0.125121,
        0.12544,
        0.126478,
        0.135588,
        0.147409,
        0.165284,
        0.185049,
        0.19021,
        0.190616,
        0.170357,
        0.15086,
        0.143536,
        0.140556,
        0.140555,
        0.142294,
        0.144674,
        0.147579,
        0.148876,
        0.152204,
        0.154649,
        0.157669,
        0.16253,
        0.170961,
        0.183207,
        0.194482,
        0.207882,
        0.212781,
        0.213512,
        0.218696,
        0.224182,
        0.23401,
        0.247647,
        0.271598,
        0.299103,
        0.332034,
        0.378859,
        0.435725,
        0.501946,
        0.614223,
        15.486,
        0.702229,
        0.546208,
        0.458128,
        0.390939,
        0.349728,
        0.305259,
        0.284047,
        0.255755,
        0.239372,
        0.226458,
        0.21734,
        0.208827,
        0.199945,
        0.197473,
        0.196607,
        0.199382,
        0.211432,
        0.232055,
        0.251464,
        0.260922,
        0.25726,
        0.236477,
        0.221809,
        0.222666,
        0.230519,
        0.242117,
        0.267325,
        0.285305,
        0.296883,
        0.340141,
        0.423716,
        0.580761,
        0.81354,
        0.997222,
        0.950254,
        0.502099,
        0.386957,
        0.277901,
        0.241978,
        0.215405,
        0.193442,
        0.177376,
        0.169845,
        0.164718,
        0.177297,
        0.178793,
        0.166268,
        0.15939,
        0.152843,
        0.142874,
        0.135361,
        0.131873,
        0.130684,
        0.12997,
        0.128691,
        0.126376,
        0.124017,
        0.121665,
        0.120445,
        0.119158,
        0.11918,
        0.118644,
        0.118666,
        0.120945,
        0.122916,
        0.123251,
        0.12344,
        0.131461,
        0.130036,
        0.12049,
        0.122974,
        0.130366,
        0.140552,
        0.162688,
        0.164642,
        0.142941,
        0.134419,
        0.125997,
        0.121796,
        0.120621,
        0.119115,
        0.119541,
        0.120566,
        0.12131,
        0.1255,
        0.132111,
        0.128996,
        0.122615,
        0.12731,
        0.12868,
        0.129953,
        0.127586,
        0.123546,
        0.125032,
        0.126129,
        0.128017,
        0.133345,
        0.141476,
        0.149119,
        0.153099,
        0.158655,
        0.168272,
        0.182903,
        0.205026,
        0.221307,
        0.225901,
        0.224728,
        0.227033,
        0.231992,
        0.248519,
        0.276853,
        0.316974,
        0.372413,
        0.454882,
        0.605334,
        0.869713,
        0.683552,
        0.511322,
        0.404504,
        0.344652,
        0.306848,
        0.282578,
        0.257094,
        0.228179,
        0.206806,
        0.183015,
        0.161507,
        0.154773,
        0.14899,
        0.146909,
        0.143463,
        0.137862,
        0.134806,
        0.134477,
        0.134132,
        0.137377,
        0.137281,
        0.135758,
        0.131309,
        0.134852,
        0.134215,
        0.13061,
        0.137595,
        0.151951,
        0.168798,
        0.182888,
        0.193051,
        0.207593,
        0.207346,
        0.196928,
        0.178209,
        0.15607,
        0.137348,
        0.126139,
        0.122637,
        0.120018,
        0.115317,
        0.114212,
        0.113979,
        0.11229,
        0.110331,
        0.1131,
        0.116338,
        0.116929,
        0.115695,
        0.11543,
        0.122275,
        0.132511,
        0.143264,
        0.14511,
        0.139781,
        0.130963,
        0.121937,
        0.116147,
        0.114075,
        0.114737,
        0.117166,
        0.122411,
        0.127254,
        0.130929,
        0.129879,
        0.127039,
        0.122574,
        0.118992,
        0.121935,
        0.124821,
        0.12325,
        0.124246,
        0.125026,
        0.126195,
        0.126452,
        0.127378,
        0.128597,
        0.131631,
        0.136325,
        0.142947,
        0.148484,
        0.15303,
        0.161665,
        0.164284,
        0.160935,
        0.168449,
        0.176422,
        0.188658,
        0.202212,
        0.214231,
        0.232347,
        0.25341,
        0.279998,
        0.325382,
        0.378146,
        0.442285,
        0.539384,
        0.65638,
        0.83668,
        0.540014,
        0.472663,
        0.418746,
        0.355653,
        0.287986,
        0.237061,
        0.204398,
        0.183072,
        0.175764,
        0.171069,
        0.169534,
        0.164361,
        0.157502,
        0.149544,
        0.141201,
        0.133835,
        0.129584,
        0.12681,
        0.124419,
        0.122114,
        0.120872,
        0.119486,
        0.119983,
        0.118619,
        0.120903,
        0.121324,
        0.116175,
        0.114813,
        0.113351,
        0.114086,
        0.115354,
        0.117601,
        0.116812,
        0.11645,
        0.118693,
        0.120262,
        0.118964,
        0.119071,
        0.123197,
        0.125824,
        0.132472,
        0.145866,
        0.155428,
        0.150146,
        0.15581,
        0.148693,
        0.135681,
        0.129167,
        0.130334,
        0.133184,
        0.13563,
        0.14567,
        0.160463,
        0.171384,
        0.171442,
        0.164672,
        0.153704,
        0.144179,
        0.140113,
        0.139569,
        0.145649,
        0.148284,
        0.14529,
        0.14644,
        0.146256,
        0.145718,
        0.147967,
        0.148657,
        0.156702,
        0.165757,
        0.180835,
        0.203181,
        0.222344,
        0.219035,
        0.191367,
        0.170911,
        0.153256,
        0.141088,
        0.134111,
        0.128626,
        0.124582,
        0.123318,
        0.121544,
        0.118804,
        0.119215,
        0.120135,
        0.12006,
        0.118718,
        0.120128,
        0.125206,
        0.135769,
        0.146789,
        0.155943,
        0.154708,
        0.142653,
        0.142109,
        0.134372,
        0.122662,
        0.122569,
        0.127269,
        0.135727,
        0.137402,
        0.133751,
        0.130494,
        0.123999,
        0.120971,
        0.120225,
        0.120495,
        0.122249,
        0.123241,
        0.121208,
        0.134528,
        0.129278,
        0.121837,
        0.123441,
        0.124577,
        0.125887,
        0.130558,
        0.130775,
        0.12584,
        0.125066,
        0.124444,
        0.12386,
        0.123869,
        0.124727,
        0.130889,
        0.13033,
        0.125411,
        0.124524,
        0.121762,
        0.120686,
        0.135802,
        0.140864,
        0.133658,
        0.143181,
        0.150347,
        0.15161,
        0.146395,
        0.138461,
        0.129161,
        0.124516,
        0.121194,
        0.121236,
        0.121532,
        0.121988,
        0.1228,
        0.125596,
        0.126269,
        0.127741,
        0.132657,
        0.137448,
        0.140028,
        0.142906,
        0.137513,
        0.132674,
        0.130058,
        0.127808,
        0.128258,
        0.129435,
        0.132419,
        0.138252,
        0.1485,
        0.162693,
        0.179461,
        0.188392,
        0.187892,
        0.185034,
        0.176638,
        0.167762,
        0.166938,
        0.171894,
        0.178323,
        0.188322,
        0.199494,
        0.213418,
        0.22549,
        0.239731,
        0.249084,
        0.259525,
        0.269807,
        0.280395,
        0.305657,
        0.3378,
        0.385562,
        0.469544,
        0.803599,
        1.11595,
        1.38188,
        1.33615,
        0.993868,
        0.566825,
        0.439122,
        0.362709,
        0.309169,
        0.273163,
        0.248653,
        0.233916,
        0.217629,
        0.203498,
        0.19352,
        0.1859,
        0.181951,
        0.177241,
        0.169872,
        0.161505,
        0.157495,
        0.153924,
        0.153557,
        0.155897,
        0.156037,
        0.156227,
        0.165089,
        0.183348,
        0.206654,
        0.228192,
        0.237468,
        0.229616,
        0.2079,
        0.186495,
        0.169373,
        0.159338,
        0.156044,
        0.166151,
        0.181276,
        0.175596,
        0.172037,
        0.164802,
        0.155216,
        0.145605,
        0.1396,
        0.136179,
        0.135019,
        0.134405,
        0.137624,
        0.140172,
        0.13802,
        0.141762,
        0.147929,
        0.154719,
        0.1678,
        0.18055,
        0.190405,
        0.196697,
        0.196316,
        0.182274,
        0.172228,
        0.164912,
        0.157154,
        0.16109,
        0.163091,
        0.173064,
        0.185783,
        0.188517,
        0.196933,
        0.200485,
        0.205991,
        0.209739,
        0.208419,
        0.205435,
        0.1962,
        0.183852,
        0.178425,
        0.169454,
        0.162771,
        0.155155,
        0.151091,
        0.147719,
        0.143532,
        0.141263,
        0.138882,
        0.136982,
        0.13739,
        0.13758,
        0.138706,
        0.137929,
        0.138345,
        0.136468,
        0.136581,
        0.139854,
        0.146749,
        0.156035,
        0.163207,
        0.164149,
        0.173366,
        0.167907,
        0.150201,
        0.143797,
        0.141626,
        0.142642,
        0.149008,
        0.164983,
        0.190931,
        0.197545,
        0.190685,
        0.18739,
        0.176252,
        0.168599,
        0.151684,
        0.14069,
        0.138747,
        0.137914,
        0.144547,
        0.145609,
        0.136952,
        0.137699,
        0.137463,
        0.13889,
        0.139094,
        0.137943,
        0.137546,
        0.144062,
        0.148635,
        0.14044,
        0.140325,
        0.139244,
        0.138698,
        0.139785,
        0.140058,
        0.141648,
        0.143705,
        0.145632,
        0.147511,
        0.146667,
        0.142481,
        0.141639,
        0.15566,
        0.149736,
        0.141058,
        0.142301,
        0.144571,
        0.164069,
        0.170295,
        0.164334,
        0.170453,
        0.168907,
        0.165507,
        0.161749,
        0.154623,
        0.147338,
        0.145951,
        0.146452,
        0.148016,
        0.149068,
        0.150116,
        0.15138,
        0.158236,
        0.169091,
        0.182959,
        0.192153,
        0.192586,
        0.189498,
        0.182285,
        0.170625,
        0.165464,
        0.165652,
        0.16689,
        0.172871,
        0.176681,
        0.180215,
        0.187525,
        0.196578,
        0.210055,
        0.238312,
        0.267093,
        0.299927,
        0.318132,
        0.328023,
        0.324698,
        0.319095,
        0.315739,
        0.311148,
        0.309518,
        0.32251,
        0.341249,
        0.381661,
        0.45441,
        0.861208,
        0.627642,
        0.458659,
        0.428284,
        0.394416,
        0.358511,
        0.315142,
        0.271984,
        0.251354,
        0.234752,
        0.232888,
        0.227634,
        0.217172,
        0.21623,
        0.215028,
        0.21816,
        0.220415,
        0.219504,
        0.213637,
        0.212704,
        0.214294,
        0.217333,
        0.224803,
        0.241334,
        0.250929,
        0.263355,
        0.28029,
        0.303129,
        0.329141,
        0.430111,
        0.530348,
        0.689033,
        0.885259,
        1.43353,
        1.41184,
        0.99994,
        0.655068,
        0.606244,
        0.626605,
        0.674629,
        0.755596,
        0.863655,
        1.03175,
        1.22572,
        1.59463,
        1.43644,
        1.22103,
        1.00696,
        0.898635,
        0.819612,
        0.715542,
        0.649003,
        0.566981,
        0.43669,
        0.299018,
        0.277858,
        0.269896,
        0.277082,
        0.255933,
        0.234854,
        0.217582,
        0.20363,
        0.197743,
        0.19251,
        0.187302,
        0.185879,
        0.182977,
        0.182046,
        0.178456,
        0.1778,
        0.175682,
        0.171711,
        0.170199,
        0.169626,
        0.168109,
        0.175149,
        0.172956,
        0.166167,
        0.164825,
        0.164103,
        0.177412,
        0.184196,
        0.17779,
        0.186307,
        0.188514,
        0.185798,
        0.178432,
        0.171707,
        0.165122,
        0.162216,
        0.162987,
        0.166477,
        0.165892,
        0.166348,
        0.167338,
        0.165855,
        0.168498,
        0.169198,
        0.164192,
        0.16558,
        0.165672,
        0.166124,
        0.165957,
        0.165123,
        0.163745,
        0.163585,
        0.166859,
        0.171557,
        0.168347,
        0.169182,
        0.172496,
        0.1826,
        0.202737,
        0.212375,
        0.225101,
        0.223609,
        0.207169,
        0.195235,
        0.186818,
        0.187255,
        0.197583,
        0.215923,
        0.229098,
        0.234804,
        0.237268,
        0.228245,
        0.215735,
        0.201961,
        0.194937,
        0.191739,
        0.188533,
        0.188274,
        0.193928,
        0.206397,
        0.221423,
        0.231014,
        0.227848,
        0.213477,
        0.203243,
        0.199965,
        0.205312,
        0.206766,
        0.204485,
        0.200861,
        0.202042,
        0.202986,
        0.208314,
        0.223591,
        0.242154,
        0.244256,
        0.235093,
        0.227073,
        0.220419,
        0.218684,
        0.220313,
        0.224623,
        0.234132,
        0.252305,
        0.266852,
        0.28611,
        0.315406,
        0.3191,
        0.307498,
        0.303375,
        0.300162,
        0.305743,
        0.311375,
        0.321894,
        0.339286,
        0.365215,
        0.410616,
        0.467093,
        0.559147,
        0.68461,
        0.886934,
        1.09266,
        0.824285,
        0.649676,
        0.529568,
        0.450667,
        0.415606,
        0.397171,
        0.383129,
        0.367215,
        0.340791,
        0.305941,
        0.272797,
        null,
        1.34186,
        1.8752,
        0.846086,
        0.740797,
        0.65489,
        0.579412,
        0.521492,
        0.469562,
        0.446317,
        0.458234,
        0.489626,
        0.542865,
        0.65347,
        0.850072,
        0.683112,
        0.571935,
        0.502963,
        0.459547,
        0.441746,
        0.455879,
        0.471428,
        0.507212,
        0.911812,
        3.31954,
        1.09416,
        0.856365,
        0.773335,
        0.824381,
        1.51311,
        2.57566,
        1.70343,
        1.00464,
        21.2962,
        15.4978,
        1.27494,
        0.971203,
        0.766975,
        0.634647,
        0.552618,
        0.481003,
        0.451708,
        0.416939,
        0.363527,
        0.335876,
        0.31336,
        0.288743,
        0.267065,
        0.249897,
        0.251741,
        0.240954,
        0.225978,
        0.217944,
        0.213389,
        0.207628,
        0.201405,
        0.199218,
        0.19885,
        0.195823,
        0.192787,
        0.188087,
        0.186233,
        0.196057,
        0.196559,
        0.183997,
        0.183765,
        0.180535,
        0.175314,
        0.1681,
        0.165604,
        0.163926,
        0.163772,
        0.182739,
        0.191043,
        0.174872,
        0.166112,
        0.164611,
        0.163429,
        0.160866,
        0.158625,
        0.159685,
        0.157755,
        0.156334,
        0.156147,
        0.156891,
        0.159376,
        0.161933,
        0.168901,
        0.181079,
        0.202233,
        0.22487,
        0.236073,
        0.24021,
        0.229561,
        0.211905,
        0.191709,
        0.177314,
        0.165982,
        0.158367,
        0.151394,
        0.145494,
        0.144541,
        0.141728,
        0.137138,
        0.137116,
        0.136204,
        0.136343,
        0.13698,
        0.140531,
        0.143191,
        0.142596,
        0.146053,
        0.146585,
        0.14462,
        0.14104,
        0.137456,
        0.136822,
        0.136283,
        0.136702,
        0.136565,
        0.13779,
        0.137415,
        0.137166,
        0.139875,
        0.147726,
        0.15673,
        0.164331,
        0.166499,
        0.163033,
        0.158238,
        0.153769,
        0.153904,
        0.158777,
        0.168463,
        0.177772,
        0.182229,
        0.185927,
        0.191289,
        0.198739,
        0.207591,
        0.214525,
        0.21389,
        0.206747,
        0.194672,
        0.180836,
        0.170939,
        0.162476,
        0.15832,
        0.153495,
        0.147765,
        0.142592,
        0.138295,
        0.134532,
        0.132808,
        0.137765,
        0.136969,
        0.127753,
        0.13411,
        0.129235,
        0.121809,
        0.122223,
        0.124467,
        0.127606,
        0.130355,
        0.130563,
        0.13019,
        0.132807,
        0.135124,
        0.137167,
        0.136617,
        0.133224,
        0.12818,
        0.123567,
        0.12208,
        0.123181,
        0.124926,
        0.127243,
        0.128825,
        0.130508,
        0.131789,
        0.133547,
        0.134058,
        0.13391,
        0.134281,
        0.133727,
        0.131827,
        0.131548,
        0.133167,
        0.132835,
        0.134352,
        0.137113,
        0.146192,
        0.151434,
        0.155778,
        0.162269,
        0.165887,
        0.178041,
        0.196471,
        0.222209,
        0.255665,
        0.286224,
        0.294236,
        0.278445,
        0.247048,
        0.220179,
        0.209431,
        0.194323,
        0.177551,
        0.167325,
        0.155219,
        0.147667,
        0.14478,
        0.14063,
        0.139583,
        0.137751,
        0.135091,
        0.133058,
        0.129805,
        0.126163,
        0.12444,
        0.122518,
        0.121378,
        0.120616,
        0.120169,
        0.120615,
        0.123755,
        0.129243,
        0.133929,
        0.134479,
        0.140589,
        0.138921,
        0.131757,
        0.13569,
        0.137408,
        0.134715,
        0.13027,
        0.124463,
        0.121304,
        0.120996,
        0.122148,
        0.123996,
        0.129482,
        0.135486,
        0.143723,
        0.145082,
        0.140006,
        0.139434,
        0.138934,
        0.141418,
        0.151061,
        0.152807,
        0.15407,
        0.157192,
        0.157924,
        0.156174,
        0.153845,
        0.154177,
        0.158243,
        0.162548,
        0.173421,
        0.183289,
        0.194728,
        0.203011,
        0.206718,
        0.204005,
        0.197511,
        0.191184,
        0.187385,
        0.186257,
        0.182286,
        0.175632,
        0.17011,
        0.161381,
        0.152276,
        0.149328,
        0.148909,
        0.148167,
        0.148264,
        0.149195,
        0.152751,
        0.156647,
        0.161284,
        0.168329,
        0.173003,
        0.175342,
        0.179049,
        0.181855,
        0.18452,
        0.187348,
        0.195248,
        0.205701,
        0.2101,
        0.213131,
        0.219287,
        0.221883,
        0.2229,
        0.232667,
        0.242908,
        0.258068,
        0.279269,
        0.302324,
        0.333217,
        0.367795,
        0.417627,
        0.487857,
        0.564644,
        0.630789,
        0.806119,
        0.917755,
        12.8896,
        1.11364,
        0.8717,
        0.4543,
        0.406616,
        0.372114,
        0.344439,
        0.316803,
        0.29511,
        0.282339,
        0.275704,
        0.267592,
        0.252093,
        0.246293,
        0.243865,
        0.236376,
        0.245945,
        0.238928,
        0.219616,
        0.218846,
        0.2163,
        0.211369,
        0.204947,
        0.199192,
        0.195642,
        0.19833,
        0.207581,
        0.203874,
        0.195239,
        0.202499,
        0.195585,
        0.191985,
        0.19377,
        0.199256,
        0.206064,
        0.21618,
        0.229972,
        0.249894,
        0.278135,
        0.320023,
        0.379223,
        0.471333,
        1.47537,
        1.04396,
        0.720833,
        0.512679,
        0.405089,
        0.329981,
        0.273161,
        0.240375,
        0.21637,
        0.2003,
        0.190455,
        0.180592,
        0.171996,
        0.165351,
        0.16299,
        0.166257,
        0.168132,
        0.16136,
        0.159484,
        0.160866,
        0.163011,
        0.164581,
        0.164113,
        0.160125,
        0.154296,
        0.150566,
        0.148031,
        0.148216,
        0.146645,
        0.143928,
        0.14205,
        0.141487,
        0.140089,
        0.13865,
        0.137156,
        0.136215,
        0.13673,
        0.138216,
        0.140273,
        0.143984,
        0.145032,
        0.147455,
        0.158559,
        0.159045,
        0.168029,
        0.182232,
        0.197015,
        0.220501,
        0.263355,
        0.305078,
        0.34823,
        0.418501,
        0.490814,
        0.467806,
        0.324486,
        0.296759,
        0.272022,
        0.246674,
        0.223685,
        0.203805,
        0.194341,
        0.17895,
        0.161392,
        0.15308,
        0.146046,
        0.140528,
        0.136044,
        0.132762,
        0.130406,
        0.128356,
        0.126713,
        0.124756,
        0.124401,
        0.123558,
        0.125395,
        0.134087,
        0.142744,
        0.142685,
        0.148456,
        0.149415,
        0.145116,
        0.144057,
        0.139702,
        0.138907,
        0.142223,
        0.142063,
        0.146149,
        0.154966,
        0.168188,
        0.181948,
        0.197765,
        0.199702,
        0.189042,
        0.179316,
        0.168818,
        0.158719,
        0.150743,
        0.144495,
        0.140109,
        0.138374,
        0.137549,
        0.138453,
        0.136045,
        0.136233,
        0.135147,
        0.134473,
        0.134629,
        0.130394,
        0.131486,
        0.132795,
        0.134928,
        0.137887,
        0.140463,
        0.142372,
        0.146026,
        0.149865,
        0.154697,
        0.161414,
        0.17119,
        0.182568,
        0.193194,
        0.202052,
        0.210986,
        0.226046,
        0.250897,
        0.275616,
        0.311555,
        0.352045,
        0.399466,
        0.439797,
        0.477361,
        0.496289,
        0.459056,
        0.410532,
        0.369273,
        0.333044,
        0.298484,
        0.264803,
        0.245846,
        0.240891,
        0.224879,
        0.210882,
        0.204554,
        0.202615,
        0.200643,
        0.187591,
        0.176951,
        0.169772,
        0.176789,
        0.17105,
        0.156295,
        0.154768,
        0.156348,
        0.157717,
        0.159906,
        0.163428,
        0.168022,
        0.174817,
        0.182132,
        0.193266,
        0.207996,
        0.226942,
        0.250973,
        0.285232,
        0.337012,
        0.403004,
        0.496555,
        0.638437,
        2.12209,
        4.53455,
        1.66587,
        0.422006,
        0.351033,
        0.299575,
        0.262257,
        0.235154,
        0.215622,
        0.202815,
        0.198265,
        0.192972,
        0.184979,
        0.176236,
        0.166007,
        0.157024,
        0.151147,
        0.154889,
        0.152589,
        0.147383,
        0.145403,
        0.143651,
        0.140982,
        0.137982,
        0.137987,
        0.138849,
        0.138391,
        0.139437,
        0.148745,
        0.158994,
        0.144969,
        0.132274,
        0.128266,
        0.124825,
        0.122568,
        0.121012,
        0.120082,
        0.122293,
        0.122169,
        0.119055,
        0.118358,
        0.118307,
        0.118459,
        0.118656,
        0.122906,
        0.122001,
        0.122004,
        0.123716,
        0.129405,
        0.136237,
        0.144608,
        0.155313,
        0.164284,
        0.175847,
        0.188727,
        0.204676,
        0.19865,
        0.17751,
        0.166541,
        0.154644,
        0.147802,
        0.140625,
        0.135316,
        0.132027,
        0.13072,
        0.130352,
        0.143556,
        0.145292,
        0.141961,
        0.134442,
        0.133936,
        0.134034,
        0.132864,
        0.136817,
        0.136712,
        0.131492,
        0.13412,
        0.140006,
        0.14606,
        0.149543,
        0.157731,
        0.165059,
        0.172896,
        0.172576,
        0.162124,
        0.152247,
        0.142265,
        0.135081,
        0.128012,
        0.123961,
        0.119962,
        0.117185,
        0.115585,
        0.115567,
        0.116508,
        0.116337,
        0.115557,
        0.115117,
        0.114456,
        0.112883,
        0.111628,
        0.112591,
        0.113277,
        0.114462,
        0.118452,
        0.121919,
        0.127741,
        0.132241,
        0.136123,
        0.135629,
        0.133899,
        0.130952,
        0.128165,
        0.126452,
        0.126508,
        0.128579,
        0.130522,
        0.134312,
        0.138015,
        0.140104,
        0.142516,
        0.140529,
        0.141049,
        0.135477,
        0.133464,
        0.134621,
        0.132831,
        0.132814,
        0.132384,
        0.131477,
        0.128856,
        0.128572,
        0.12834,
        0.130183,
        0.128678,
        0.123346,
        0.121358,
        0.121299,
        0.12655,
        0.127863,
        0.131154,
        0.137276,
        0.142066,
        0.143236,
        0.142922,
        0.143259,
        0.144892,
        0.147571,
        0.14968,
        0.150288,
        0.150916,
        0.150835,
        0.15189,
        0.152154,
        0.150565,
        0.154235,
        0.162115,
        0.170224,
        0.176698,
        0.18332,
        0.188324,
        0.18881,
        0.19626,
        0.207665,
        0.225443,
        0.252286,
        0.284344,
        0.322403,
        0.374848,
        0.465292,
        0.608806,
        0.811816,
        1.20743,
        1.95581,
        6.70065,
        3.11424,
        0.855995,
        0.565744,
        0.332551,
        0.295875,
        0.272565,
        0.253049,
        0.234839,
        0.222574,
        0.209702,
        0.202838,
        0.196098,
        0.187154,
        0.179711,
        0.17317,
        0.168076,
        0.16676,
        0.162184,
        0.151843,
        0.148378,
        0.14693,
        0.148313,
        0.151154,
        0.156157,
        0.157546,
        0.152642,
        0.144157,
        0.136747,
        0.133382,
        0.128957,
        0.125838,
        0.125434,
        0.129886,
        0.143151,
        0.133359,
        0.123741,
        0.12423,
        0.125041,
        0.12751,
        0.128489,
        0.133095,
        0.137627,
        0.143034,
        0.148383,
        0.156584,
        0.170041,
        0.181722,
        0.190172,
        0.192505,
        0.18824,
        0.180206,
        0.171768,
        0.164688,
        0.159093,
        0.149692,
        0.149228,
        0.146056,
        0.140694,
        0.139294,
        0.138813,
        0.1388,
        0.140322,
        0.146125,
        0.155958,
        0.169752,
        0.183087,
        0.196738,
        0.20249,
        0.202405,
        0.191093,
        0.177699,
        0.164533,
        0.153159,
        0.144844,
        0.137928,
        0.1322,
        0.128476,
        0.125865,
        0.125921,
        0.125134,
        0.126918,
        0.127176,
        0.123183,
        0.124532,
        0.129384,
        0.134126,
        0.138044,
        0.138868,
        0.138478,
        0.142035,
        0.146835,
        0.145949,
        0.141386,
        0.135279,
        0.125258,
        0.120981,
        0.119151,
        0.11937,
        0.118011,
        0.119475,
        0.120673,
        0.120199,
        0.121931,
        0.126009,
        0.130398,
        0.13182,
        0.132619,
        0.139573,
        0.136662,
        0.134042,
        0.125323,
        0.124605,
        0.133412,
        0.135441,
        0.126049,
        0.125725,
        0.125053,
        0.124821,
        0.12856,
        0.129625,
        0.142473,
        0.146343,
        0.141313,
        0.142206,
        0.141933,
        0.137831,
        0.137864,
        0.140553,
        0.141189,
        0.14561,
        0.150788,
        0.153542,
        0.159405,
        0.159345,
        0.154861,
        0.155955,
        0.149444,
        0.139594,
        0.139373,
        0.14337,
        0.145642,
        0.147178,
        0.151788,
        0.145865,
        0.144584,
        0.142263,
        0.145911,
        0.150255,
        0.15178,
        0.153544,
        0.157734,
        0.158975,
        0.162378,
        0.16433,
        0.170554,
        0.175164,
        0.183955,
        0.192196,
        0.202553,
        0.221345,
        0.236876,
        0.247936,
        0.273101,
        0.310067,
        0.35353,
        0.41693,
        0.49988,
        0.630144,
        0.810847,
        1.13307,
        1.70562,
        0.838588,
        0.626962,
        0.518985,
        0.429112,
        0.375401,
        0.328279,
        0.304529,
        0.28056,
        0.26324,
        0.256004,
        0.247734,
        0.236668,
        0.242543,
        0.252938,
        0.285479,
        0.312184,
        0.328653,
        0.3809,
        0.409496,
        0.396943,
        0.368517,
        0.326064,
        0.284156,
        0.247121,
        0.218467,
        0.198108,
        0.185174,
        0.175971,
        0.174954,
        0.171666,
        0.168062,
        0.168831,
        0.168895,
        0.170964,
        0.172219,
        0.169733,
        0.162829,
        0.155844,
        0.153026,
        0.152617,
        0.15316,
        0.155217,
        0.171762,
        0.180199,
        0.180562,
        0.185204,
        0.180687,
        0.176898,
        0.170803,
        0.170119,
        0.182121,
        0.17835,
        0.164591,
        0.16744,
        0.17287,
        0.176623,
        0.176871,
        0.178598,
        0.191713,
        0.185827,
        0.164252,
        0.159042,
        0.151203,
        0.144716,
        0.139452,
        0.136313,
        0.136162,
        0.138601,
        0.138122,
        0.136798,
        0.135036,
        0.135257,
        0.138307,
        0.143063,
        0.148856,
        0.151533,
        0.14974,
        0.145438,
        0.140838,
        0.135821,
        0.132452,
        0.13624,
        0.13352,
        0.125557,
        0.123418,
        0.122271,
        0.121703,
        0.127095,
        0.128397,
        0.12503,
        0.125087,
        0.123489,
        0.120659,
        0.118887,
        0.117378,
        0.1169,
        0.116452,
        0.116153,
        0.11589,
        0.115572,
        0.116609,
        0.116858,
        0.115932,
        0.118389,
        0.117072,
        0.119159,
        0.121529,
        0.119951,
        0.118047,
        0.118486,
        0.118682,
        0.119169,
        0.117429,
        0.119937,
        0.124151,
        0.125137,
        0.126118,
        0.130041,
        0.133305,
        0.137079,
        0.139562,
        0.140827,
        0.142397,
        0.145112,
        0.143238,
        0.153429,
        0.154276,
        0.142617,
        0.142913,
        0.143214,
        0.146191,
        0.148876,
        0.151393,
        0.153536,
        0.155661,
        0.155943,
        0.158095,
        0.158053,
        0.159786,
        0.159875,
        0.159425,
        0.158804,
        0.160429,
        0.163798,
        0.169664,
        0.172625,
        0.174438,
        0.174166,
        0.174198,
        0.173596,
        0.174679,
        0.177292,
        0.181121,
        0.184294,
        0.188597,
        0.193201,
        0.199265,
        0.209638,
        0.223082,
        0.234944,
        0.244628,
        0.260513,
        0.280776,
        0.304613,
        0.341936,
        0.381798,
        0.433072,
        0.49292,
        0.593257,
        0.723814,
        0.92388,
        4.89344,
        0.641939,
        0.52544,
        0.448188,
        0.393404,
        0.354296,
        0.321346,
        0.293645,
        0.274692,
        0.261824,
        0.24817,
        0.242868,
        0.230554,
        0.218321,
        0.212288,
        0.20803,
        0.203553,
        0.213191,
        0.218619,
        0.209621,
        0.207786,
        0.206458,
        0.205785,
        0.199637,
        0.192263,
        0.188948,
        0.18475,
        0.181289,
        0.17699,
        0.172272,
        0.167816,
        0.167268,
        0.170723,
        0.173642,
        0.17055,
        0.178365,
        0.184139,
        0.183504,
        0.194623,
        0.209918,
        0.224446,
        0.241383,
        0.249699,
        0.248601,
        0.236037,
        0.220947,
        0.203407,
        0.186268,
        0.174126,
        0.166808,
        0.161211,
        0.153161,
        0.149447,
        0.148106,
        0.146076,
        0.145647,
        0.144822,
        0.142398,
        0.143589,
        0.143551,
        0.142834,
        0.142437,
        0.14362,
        0.146018,
        0.148832,
        0.150436,
        0.154628,
        0.157637,
        0.163388,
        0.162707,
        0.157368,
        0.155878,
        0.158314,
        0.158994,
        0.159929,
        0.159616,
        0.157131,
        0.152102,
        0.149163,
        0.149658,
        0.147799,
        0.147472,
        0.147176,
        0.146516,
        0.146154,
        0.146997,
        0.147568,
        0.145805,
        0.145382,
        0.146985,
        0.146694,
        0.145279,
        0.147379,
        0.14939,
        0.153296,
        0.159571,
        0.156433,
        0.150818,
        0.153158,
        0.156099,
        0.156197,
        0.156787,
        0.156133,
        0.156436,
        0.157805,
        0.167904,
        0.166771,
        0.155187,
        0.155502,
        0.156322,
        0.156791,
        0.159068,
        0.164526,
        0.169363,
        0.171591,
        0.172724,
        0.171536,
        0.171653,
        0.170603,
        0.167742,
        0.166933,
        0.167568,
        0.170022,
        0.178899,
        0.181163,
        0.176233,
        0.174629,
        0.17562,
        0.177145,
        0.179282,
        0.180519,
        0.188189,
        0.190798,
        0.189914,
        0.19449,
        0.200088,
        0.204378,
        0.207072,
        0.217975,
        0.22171,
        0.216899,
        0.220236,
        0.223464,
        0.227281,
        0.230303,
        0.24048,
        0.245277,
        0.243303,
        0.248883,
        0.264977,
        0.271258,
        0.265848,
        0.283088,
        0.294291,
        0.303685,
        0.320091,
        0.322498,
        0.337025,
        0.355457,
        0.37674,
        0.408168,
        0.438877,
        0.465762,
        0.494943,
        0.53061,
        0.59171,
        0.647054,
        0.698706,
        0.817741,
        1.21143,
        1.52983,
        36.8672,
        3.01459,
        2.55671,
        1.11112,
        0.960611,
        0.842729,
        0.586425,
        0.497856,
        0.486808,
        0.488328,
        0.487541,
        0.449508,
        0.43056,
        0.411276,
        0.409668,
        0.393562,
        0.372923,
        0.339102,
        0.332456,
        0.326425,
        0.314023,
        0.321528,
        0.319033,
        0.318569,
        0.31401,
        0.309336,
        0.307297,
        0.301668,
        0.299217,
        0.296281,
        0.300235,
        0.30379,
        0.308137,
        0.313595,
        0.314949,
        0.319245,
        0.319321,
        0.322437,
        0.339339,
        0.346494,
        0.352562,
        0.349401,
        0.335563,
        0.343191,
        0.364148,
        0.361782,
        0.361584,
        0.362648,
        0.371836,
        0.385178,
        0.398704,
        0.405013,
        0.424502,
        0.4441,
        0.46242,
        0.479634,
        0.49748,
        0.52049,
        0.556557,
        0.575915,
        0.702353,
        0.752053,
        0.787187,
        0.88001,
        1.0351,
        1.18763,
        1.42953,
        2.02929,
        2.4828,
        11.2787,
        23.5444,
        1.72648,
        1.54873,
        1.38966,
        1.31013,
        1.30301,
        1.11419,
        1.02821,
        0.992757,
        0.963619,
        0.961356,
        1.30956,
        1.45429,
        1.74179,
        2.27641,
        2.90002,
        2.08364,
        1.63298,
        1.09684,
        0.939416,
        0.785981,
        0.701693,
        0.644687,
        0.507898,
        0.47661,
        0.46278,
        0.455276,
        0.456374,
        0.442036,
        0.409548,
        0.394417,
        0.379772,
        0.355819,
        0.345576,
        0.33296,
        0.325944,
        0.315836,
        0.308844,
        0.298632,
        0.291435,
        0.294362,
        0.28995,
        0.280584,
        0.287113,
        0.285859,
        0.292362,
        0.300055,
        0.298958,
        0.287435,
        0.285078,
        0.273252,
        0.257648,
        0.249226,
        0.240202,
        0.234817,
        0.232738,
        0.232494,
        0.227474,
        0.22066,
        0.216829,
        0.214813,
        0.211425,
        0.211114,
        0.205069,
        0.205186,
        0.20237,
        0.201223,
        0.202119,
        0.201906,
        0.200151,
        0.201583,
        0.197331,
        0.19279,
        0.191338,
        0.193222,
        0.199617,
        0.200456,
        0.197938,
        0.196925,
        0.19559,
        0.197082,
        0.197011,
        0.191419,
        0.188343,
        0.185847,
        0.187002,
        0.185262,
        0.185465,
        0.185089,
        0.184506,
        0.18339,
        0.181751,
        0.191101,
        0.189251,
        0.181312,
        0.184331,
        0.186056,
        0.185114,
        0.184233,
        0.185021,
        0.185297,
        0.185009,
        0.184792,
        0.185165,
        0.186667,
        0.186504,
        0.188874,
        0.192331,
        0.193612,
        0.19212,
        0.189259,
        0.188838,
        0.188408,
        0.188898,
        0.185045,
        0.183846,
        0.184513,
        0.185117,
        0.184941,
        0.185213,
        0.187835,
        0.188757,
        0.187377,
        0.186497,
        0.187057,
        0.193974,
        0.193427,
        0.187988,
        0.187662,
        0.184555,
        0.185766,
        0.187089,
        0.195002,
        0.194074,
        0.184415,
        0.182365,
        0.181517,
        0.179845,
        0.178125,
        0.178541,
        0.178412,
        0.177657,
        0.179137,
        0.182737,
        0.181692,
        0.181857,
        0.18409,
        0.188474,
        0.190281,
        0.186957,
        0.18786,
        0.191086,
        0.195006,
        0.195613,
        0.199198,
        0.203131,
        0.203902,
        0.203736,
        0.208799,
        0.21139,
        0.218334,
        0.223193,
        0.226725,
        0.234587,
        0.252859,
        0.255114,
        0.249989,
        0.25718,
        0.26357,
        0.268454,
        0.279827,
        0.284786,
        0.289835,
        0.302096,
        0.312182,
        0.320542,
        0.337145,
        0.376703,
        0.395907,
        0.405969,
        0.417773,
        0.454666,
        0.496597,
        0.562735,
        0.63674,
        0.706811,
        2.34671,
        1.34006,
        1.06524,
        0.551279,
        0.49548,
        0.455195,
        0.425673,
        0.388519,
        0.380351,
        0.356929,
        0.331854,
        0.313508,
        0.304546,
        0.29105,
        0.280996,
        0.274281,
        0.266792,
        0.266441,
        0.265115,
        0.259808,
        0.25911,
        0.257633,
        0.257397,
        0.258195,
        0.258593,
        0.260741,
        0.265478,
        0.268739,
        0.264963,
        0.260421,
        0.254039,
        0.248775,
        0.241937,
        0.234859,
        0.231903,
        0.226685,
        0.219854,
        0.216141,
        0.216356,
        0.211169,
        0.205832,
        0.203682,
        0.205365,
        0.205475,
        0.208048,
        0.205179,
        0.203602,
        0.204458,
        0.203242,
        0.214223,
        0.217491,
        0.200306,
        0.198058,
        0.194184,
        0.192706,
        0.187448,
        0.186056,
        0.187212,
        0.185977,
        0.185584,
        0.183056,
        0.183251,
        0.182314,
        0.183241,
        0.186125,
        0.188582,
        0.189001,
        0.187609,
        0.187488,
        0.186929,
        0.182928,
        0.181981,
        0.180218,
        0.180595,
        0.182296,
        0.18249,
        0.185019,
        0.188403,
        0.188591,
        0.188858,
        0.186642,
        0.186958,
        0.189545,
        0.19112,
        0.194392,
        0.194426,
        0.19077,
        0.193789,
        0.188893,
        0.186787,
        0.18721,
        0.187913,
        0.189384,
        0.191675,
        0.190259,
        0.195093,
        0.194908,
        0.19458,
        0.195674,
        0.198577,
        0.197497,
        0.198624,
        0.196081,
        0.196754,
        0.197643,
        0.22021,
        0.222889,
        0.202194,
        0.199719,
        0.211943,
        0.215875,
        0.212887,
        0.20754,
        0.206498,
        0.205479,
        0.208507,
        0.21498,
        0.213444,
        0.216152,
        0.217539,
        0.219345,
        0.222614,
        0.226593,
        0.226762,
        0.226846,
        0.223046,
        0.221115,
        0.21771,
        0.211845,
        0.211911,
        0.211987,
        0.212754,
        0.212108,
        0.211883,
        0.209406,
        0.211174,
        0.21238,
        0.214596,
        0.219124,
        0.221812,
        0.224978,
        0.226026,
        0.226968,
        0.231432,
        0.232955,
        0.232792,
        0.235888,
        0.240809,
        0.24405,
        0.243766,
        0.246991,
        0.253462,
        0.260471,
        0.263584,
        0.267339,
        0.276543,
        0.284237,
        0.291214,
        0.309357,
        0.326229,
        0.337668,
        0.343892,
        0.354436,
        0.375894,
        0.399463,
        0.416767,
        0.437139,
        null,
        0.16038,
        0.159121,
        0.158825,
        0.1575,
        0.155811,
        0.155361,
        0.158213,
        0.158401,
        0.154842,
        0.15436,
        0.152721,
        0.151095,
        0.151105,
        0.151446,
        0.151681,
        0.152065,
        0.151846,
        0.151429,
        0.152597,
        0.149763,
        0.147909,
        0.14952,
        0.147017,
        0.143237,
        0.14188,
        0.142126,
        0.140957,
        0.140631,
        0.140632,
        0.140429,
        0.140736,
        0.143094,
        0.143728,
        0.143792,
        0.144781,
        0.145883,
        0.147912,
        0.150488,
        0.152249,
        0.153624,
        0.153521,
        0.152452,
        0.151217,
        0.149913,
        0.152572,
        0.152374,
        0.153808,
        0.149033,
        0.148542,
        0.149189,
        0.148553,
        0.147542,
        0.147291,
        0.147071,
        0.1468,
        0.147204,
        0.147157,
        0.147223,
        0.148105,
        0.148474,
        0.14932,
        0.155472,
        0.156562,
        0.151194,
        0.15212,
        0.154619,
        0.157402,
        0.16154,
        0.165159,
        0.170959,
        0.17423,
        0.175223,
        0.178572,
        0.182486,
        0.183805,
        0.183774,
        0.180656,
        0.177416,
        0.175569,
        0.17583,
        0.176548,
        0.178207,
        0.181412,
        0.18629,
        0.19205,
        0.199561,
        0.206225,
        0.212068,
        0.214336,
        0.220022,
        0.229062,
        0.252207,
        0.264636,
        0.262454,
        0.281435,
        0.306505,
        0.33345,
        0.367122,
        0.424347,
        0.551739,
        0.659316,
        0.708546,
        0.896793,
        1.09671,
        0.52673,
        0.455686,
        0.409231,
        0.367706,
        0.334923,
        0.307892,
        0.289373,
        0.273173,
        0.260098,
        0.250071,
        0.244904,
        0.237633,
        0.225432,
        0.218629,
        0.211029,
        0.197009,
        0.186758,
        0.180652,
        0.174358,
        0.167871,
        0.164349,
        0.161198,
        0.156674,
        0.153692,
        0.152448,
        0.152101,
        0.152205,
        0.151702,
        0.151117,
        0.151935,
        0.154588,
        0.154333,
        0.151461,
        0.14912,
        0.146174,
        0.143875,
        0.142174,
        0.139607,
        0.137303,
        0.13678,
        0.136669,
        0.136704,
        0.136298,
        0.134919,
        0.134805,
        0.134916,
        0.135149,
        0.136339,
        0.135801,
        0.134979,
        0.136293,
        0.13654,
        0.137415,
        0.138007,
        0.136083,
        0.137699,
        0.139665,
        0.142045,
        0.14237,
        0.141926,
        0.143973,
        0.14094,
        0.135326,
        0.134275,
        0.132056,
        0.129257,
        0.127322,
        0.126688,
        0.12678,
        0.125593,
        0.125358,
        0.125257,
        0.124286,
        0.123635,
        0.122936,
        0.122994,
        0.122077,
        0.121195,
        0.120855,
        0.120391,
        0.1214,
        0.12202,
        0.123139,
        0.123503,
        0.123874,
        0.126965,
        0.126392,
        0.123355,
        0.122516,
        0.123584,
        0.123857,
        0.124037,
        0.125648,
        0.126779,
        0.127907,
        0.129543,
        0.131798,
        0.133346,
        0.13381,
        0.135883,
        0.138345,
        0.140325,
        0.142439,
        0.145385,
        0.147561,
        0.147467,
        0.14922,
        0.158439,
        0.155173,
        0.145961,
        0.144417,
        0.142618,
        0.14162,
        0.140956,
        0.139307,
        0.138868,
        0.138922,
        0.13938,
        0.14045,
        0.142461,
        0.142683,
        0.141841,
        0.142701,
        0.143302,
        0.143846,
        0.145019,
        0.14678,
        0.148886,
        0.151306,
        0.155165,
        0.155906,
        0.15685,
        0.16031,
        0.16407,
        0.168708,
        0.1731,
        0.178985,
        0.184413,
        0.191979,
        0.199495,
        0.208562,
        0.222959,
        0.240322,
        0.260377,
        0.276847,
        0.303022,
        0.346669,
        0.400137,
        0.458219,
        1.25309,
        1.07632,
        0.831903,
        0.65773,
        0.45102,
        0.388522,
        0.346763,
        0.316907,
        0.291292,
        0.269522,
        0.251715,
        0.238509,
        0.225947,
        0.228245,
        0.215516,
        0.192404,
        0.186607,
        0.179785,
        0.172306,
        0.168699,
        0.163271,
        0.157547,
        0.153153,
        0.149198,
        0.146998,
        0.144174,
        0.141071,
        0.138038,
        0.135584,
        0.134927,
        0.134042,
        0.133775,
        0.134157,
        0.133914,
        0.135492,
        0.138562,
        0.140731,
        0.143347,
        0.141276,
        0.136115,
        0.132861,
        0.130428,
        0.128506,
        0.126415,
        0.125223,
        0.124886,
        0.124048,
        0.123651,
        0.123106,
        0.123458,
        0.12352,
        0.12132,
        0.121078,
        0.121333,
        0.121074,
        0.121542,
        0.12119,
        0.121398,
        0.121154,
        0.121357,
        0.120646,
        0.120364,
        0.120748,
        0.11993,
        0.119901,
        0.119974,
        0.118559,
        0.117973,
        0.118432,
        0.118303,
        0.117554,
        0.117429,
        0.117229,
        0.11673,
        0.11674,
        0.118444,
        0.118333,
        0.115717,
        0.116571,
        0.120495,
        0.120713,
        0.117665,
        0.120499,
        0.122599,
        0.124386,
        0.127348,
        0.130129,
        0.130454,
        0.1295,
        0.1283,
        0.125114,
        0.123146,
        0.120249,
        0.119514,
        0.118031,
        0.115516,
        0.115397,
        0.116916,
        0.11749,
        0.116517,
        0.116464,
        0.115694,
        0.116332,
        0.116874,
        0.117772,
        0.119004,
        0.119318,
        0.118926,
        0.117197,
        0.117925,
        0.119195,
        0.118512,
        0.120933,
        0.126421,
        0.121678,
        0.12232,
        0.124156,
        0.124958,
        0.125919,
        0.126626,
        0.126694,
        0.127411,
        0.129755,
        0.131353,
        0.131889,
        0.134122,
        0.137808,
        0.140669,
        0.14298,
        0.145873,
        0.148701,
        0.165586,
        0.173286,
        0.189505,
        0.210384,
        0.210485,
        0.209709,
        0.223536,
        0.232699,
        0.233558,
        0.229286,
        0.219927,
        0.216292,
        0.211853,
        0.203859,
        0.206507,
        0.212268,
        0.220385,
        0.23175,
        0.245216,
        0.259547,
        0.281624,
        0.31159,
        0.353862,
        0.403415,
        0.4862,
        0.612678,
        0.785302,
        1.66789,
        3.12203,
        6.04723,
        1.73881,
        0.884011,
        0.680184,
        0.463226,
        0.397557,
        0.349624,
        0.327606,
        0.293199,
        0.270498,
        0.251739,
        0.235351,
        0.226328,
        0.218729,
        0.21051,
        0.201705,
        0.193246,
        0.18341,
        0.174887,
        0.167975,
        0.162535,
        0.157122,
        0.152315,
        0.149016,
        0.145155,
        0.141641,
        0.138839,
        0.13659,
        0.134599,
        0.132522,
        0.135264,
        0.129836,
        0.128473,
        0.127366,
        0.126214,
        0.124808,
        0.122616,
        0.12886,
        0.128627,
        0.121089,
        0.119994,
        0.116422,
        0.115154,
        0.114896,
        0.114796,
        0.113692,
        0.113122,
        0.112538,
        0.113051,
        0.114024,
        0.115669,
        0.116062,
        0.11458,
        0.115133,
        0.115988,
        0.115396,
        0.115775,
        0.116423,
        0.117553,
        0.119327,
        0.122182,
        0.124739,
        0.128343,
        0.133324,
        0.138474,
        0.142963,
        0.147089,
        0.14681,
        0.145713,
        0.14261,
        0.140235,
        0.137226,
        0.134442,
        0.131661,
        0.13102,
        0.129552,
        0.128494,
        0.127376,
        0.125669,
        0.123982,
        0.122455,
        0.123693,
        0.122268,
        0.117294,
        0.116233,
        0.114343,
        0.112249,
        0.112035,
        0.112011,
        0.112551,
        0.113962,
        0.115998,
        0.114214,
        0.112375,
        0.111298,
        0.110712,
        0.110099,
        0.109029,
        0.108359,
        0.108438,
        0.108492,
        0.109587,
        0.121078,
        0.120718,
        0.111717,
        0.112975,
        0.114967,
        0.116098,
        0.116208,
        0.119703,
        0.121881,
        0.123381,
        0.125292,
        0.127706,
        0.13319,
        0.136973,
        0.137328,
        0.14031,
        0.140385,
        0.140105,
        0.1386,
        0.137173,
        0.136403,
        0.137408,
        0.136249,
        0.135669,
        0.134558,
        0.13413,
        0.134151,
        0.135717,
        0.138553,
        0.140271,
        0.141159,
        0.142288,
        0.14414,
        0.146341,
        0.15024,
        0.157884,
        0.162842,
        0.165779,
        0.172594,
        0.178048,
        0.181939,
        0.185141,
        0.185656,
        0.187028,
        0.18704,
        0.187958,
        0.19268,
        0.197198,
        0.204473,
        0.214519,
        0.227751,
        0.238667,
        0.255226,
        0.278331,
        0.300625,
        0.333587,
        0.38429,
        0.453686,
        1.41415,
        0.763021,
        0.576632,
        0.47714,
        0.399561,
        0.344573,
        0.310517,
        0.27877,
        0.252369,
        0.23017,
        0.216753,
        0.206627,
        0.196827,
        0.18734,
        0.178681,
        0.170948,
        0.164956,
        0.160313,
        0.156753,
        0.153839,
        0.15654,
        0.152387,
        0.145339,
        0.144373,
        0.138833,
        0.140893,
        0.138619,
        0.132436,
        0.130536,
        0.137756,
        0.141941,
        0.126736,
        0.132994,
        0.133628,
        0.123953,
        0.121591,
        0.122769,
        0.12912,
        0.132506,
        0.126813,
        0.12188,
        0.123074,
        0.123708,
        0.123655,
        0.125103,
        0.126744,
        0.130454,
        0.129783,
        0.123043,
        0.120754,
        0.118641,
        0.116951,
        0.117053,
        0.118666,
        0.117422,
        0.118442,
        0.119501,
        0.119317,
        0.120735,
        0.11965,
        0.122242,
        0.125406,
        0.135888,
        0.146609,
        0.157635,
        0.175111,
        0.189911,
        0.198135,
        0.192795,
        0.180387,
        0.164783,
        0.150369,
        0.137963,
        0.129067,
        0.123955,
        0.119667,
        0.117129,
        0.116605,
        0.116317,
        0.115466,
        0.114109,
        0.113181,
        0.11211,
        0.112159,
        0.112289,
        0.116361,
        0.117546,
        0.113083,
        0.113303,
        0.112373,
        0.112759,
        0.113002,
        0.112643,
        0.11367,
        0.114456,
        0.116788,
        0.120052,
        0.121788,
        0.123955,
        0.124559,
        0.123609,
        0.121747,
        0.115841,
        0.11498,
        0.112857,
        0.109707,
        0.109012,
        0.112382,
        0.111259,
        0.106746,
        0.106253,
        0.105621,
        0.105847,
        0.106557,
        0.105926,
        0.10728,
        0.107618,
        0.107046,
        0.107733,
        0.109943,
        0.11111,
        0.109477,
        0.11043,
        0.110679,
        0.111414,
        0.117471,
        0.117356,
        0.112783,
        0.113565,
        0.115786,
        0.117983,
        0.12036,
        0.121906,
        0.122013,
        0.124289,
        0.123559,
        0.124636,
        0.125004,
        0.126809,
        0.13019,
        0.132535,
        0.136085,
        0.140085,
        0.143731,
        0.147932,
        0.154089,
        0.163689,
        0.166909,
        0.165805,
        0.172657,
        0.179493,
        0.187997,
        0.196486,
        0.206308,
        0.215559,
        0.225168,
        0.235753,
        0.249715,
        0.2686,
        0.297368,
        0.340179,
        0.391772,
        0.466265,
        0.582586,
        2.68805,
        4.45947,
        6.17602,
        7.96444,
        10.3345,
        13.0424,
        1.86082,
        1.19186,
        0.843858,
        0.643008,
        0.479871,
        0.415054,
        0.354787,
        0.313036,
        0.280332,
        0.254754,
        0.235084,
        0.215571,
        0.200699,
        0.190292,
        0.183717,
        0.174648,
        0.169058,
        0.165818,
        0.159581,
        0.156595,
        0.154253,
        0.15093,
        0.148765,
        0.147239,
        0.147513,
        0.147473,
        0.148305,
        0.149828,
        0.150007,
        0.151339,
        0.154177,
        0.155016,
        0.152303,
        0.158676,
        0.156505,
        0.153855,
        0.150815,
        0.139289,
        0.13661,
        0.130836,
        0.12844,
        0.126253,
        0.123632,
        0.121656,
        0.11989,
        0.119246,
        0.117684,
        0.117229,
        0.116452,
        0.116523,
        0.115932,
        0.117578,
        0.120923,
        0.127598,
        0.125168,
        0.122069,
        0.123352,
        0.125483,
        0.129156,
        0.129725,
        0.123349,
        0.120624,
        0.117435,
        0.11513,
        0.113876,
        0.112504,
        0.111689,
        0.114788,
        0.114302,
        0.110418,
        0.110245,
        0.111356,
        0.112542,
        0.112863,
        0.113372,
        0.114568,
        0.123438,
        0.121576,
        0.118003,
        0.120472,
        0.122267,
        0.123071,
        0.125664,
        0.127017,
        0.129375,
        0.129882,
        0.128729,
        0.127808,
        0.124473,
        0.121658,
        0.120659,
        0.120103,
        0.117075,
        0.11547,
        0.115644,
        0.115747,
        0.114419,
        0.114117,
        0.114966,
        0.11486,
        0.113505,
        0.112986,
        0.112128,
        0.112308,
        0.110995,
        0.111043,
        0.111859,
        0.113491,
        0.112715,
        0.112151,
        0.115815,
        0.114468,
        0.11255,
        0.112016,
        0.111955,
        0.112018,
        0.112468,
        0.113209,
        0.1138,
        0.114097,
        0.114871,
        0.119112,
        0.118994,
        0.116547,
        0.116661,
        0.117508,
        0.119735,
        0.121495,
        0.126049,
        0.12654,
        0.122627,
        0.123668,
        0.126608,
        0.130019,
        0.135772,
        0.13821,
        0.14088,
        0.148239,
        0.159098,
        0.169947,
        0.181746,
        0.189654,
        0.185349,
        0.180352,
        0.172995,
        0.17754,
        0.173097,
        0.161041,
        0.157164,
        0.157358,
        0.156094,
        0.157119,
        0.159045,
        0.161963,
        0.167071,
        0.173982,
        0.178543,
        0.186855,
        0.196562,
        0.203223,
        0.214806,
        0.234466,
        0.253276,
        0.273508,
        0.298394,
        0.338578,
        0.4011,
        0.469823,
        0.582902,
        0.743242,
        3.58191,
        0.515102,
        0.429857,
        0.359121,
        0.322503,
        0.290367,
        0.260643,
        0.240811,
        0.224771,
        0.220711,
        0.211852,
        0.196663,
        0.193592,
        0.186135,
        0.178425,
        0.171886,
        0.165193,
        0.159016,
        0.155377,
        0.152368,
        0.146639,
        0.141773,
        0.142016,
        0.145464,
        0.151046,
        0.145605,
        0.138386,
        0.141883,
        0.140032,
        0.132308,
        0.130477,
        0.127826,
        0.126969,
        0.12681,
        0.125662,
        0.125636,
        0.125258,
        0.125989,
        0.125897,
        0.12859,
        0.12817,
        0.123045,
        0.123334,
        0.122805,
        0.123375,
        0.123579,
        0.121394,
        0.12049,
        0.120367,
        0.121744,
        0.122222,
        0.122536,
        0.122776,
        0.122528,
        0.120874,
        0.119578,
        0.11902,
        0.119211,
        0.118983,
        0.1191,
        0.120119,
        0.11961,
        0.118857,
        0.119046,
        0.120371,
        0.122177,
        0.125533,
        0.127031,
        0.127548,
        0.128957,
        0.128408,
        0.127205,
        0.125614,
        0.124477,
        0.123885,
        0.126011,
        0.126666,
        0.126164,
        0.12733,
        0.128169,
        0.128296,
        0.127264,
        0.125443,
        0.128233,
        0.126597,
        0.123751,
        0.133417,
        0.13203,
        0.126054,
        0.127717,
        0.126762,
        0.1285,
        0.129928,
        0.130584,
        0.131218,
        0.130299,
        0.129993,
        0.132428,
        0.131432,
        0.129568,
        0.127246,
        0.126721,
        0.1277,
        0.127019,
        0.126584,
        0.125137,
        0.124555,
        0.128649,
        0.127217,
        0.130039,
        0.136504,
        0.139591,
        0.134732,
        0.125228,
        0.124696,
        0.126138,
        0.126011,
        0.12475,
        0.132795,
        0.134457,
        0.128075,
        0.131007,
        0.133197,
        0.134133,
        0.137191,
        0.139481,
        0.142098,
        0.143369,
        0.149842,
        0.139163,
        0.135398,
        0.136989,
        0.131122,
        0.128367,
        0.127873,
        0.127799,
        0.128302,
        0.127001,
        0.129662,
        0.131257,
        0.125102,
        0.124395,
        0.124313,
        0.123775,
        0.125044,
        0.126461,
        0.127634,
        0.12905,
        0.131741,
        0.134607,
        0.135939,
        0.137564,
        0.141892,
        0.14396,
        0.14609,
        0.15071,
        0.162969,
        0.163457,
        0.169274,
        0.189885,
        0.199858,
        0.197296,
        0.212851,
        0.229902,
        0.253403,
        0.28067,
        0.315184,
        0.367657,
        0.47528,
        2.54685,
        2.38369,
        0.402837,
        0.334915,
        0.292866,
        0.259011,
        0.233928,
        0.213574,
        0.2016,
        0.189279,
        0.178357,
        0.169797,
        0.16143,
        0.156508,
        0.152074,
        0.147558,
        0.143863,
        0.140616,
        0.137827,
        0.139906,
        0.135463,
        0.132176,
        0.129465,
        0.132636,
        0.131677,
        0.127253,
        0.125645,
        0.132664,
        0.132504,
        0.127326,
        0.125322,
        0.124871,
        0.130284,
        0.132399,
        0.126823,
        0.12806,
        0.132334,
        0.13445,
        0.131579,
        0.132512,
        0.131697,
        0.138557,
        0.139136,
        0.1322,
        0.1312,
        0.129783,
        0.127768,
        0.128106,
        0.128335,
        0.126512,
        0.127646,
        0.134122,
        0.132433,
        0.126456,
        0.132239,
        0.134845,
        0.136939,
        0.13313,
        0.133064,
        0.133411,
        0.132818,
        0.132081,
        0.129954,
        0.125877,
        0.121774,
        0.119234,
        0.116345,
        0.115375,
        0.113743,
        0.112637,
        0.111897,
        0.115761,
        0.114702,
        0.112511,
        0.114071,
        0.109365,
        0.109566,
        0.112562,
        0.112781,
        0.11371,
        0.115491,
        0.110742,
        0.110451,
        0.110335,
        0.111048,
        0.111947,
        0.110994,
        0.10967,
        0.10884,
        0.109948,
        0.110966,
        0.109874,
        0.107694,
        0.10927,
        0.11596,
        0.11967,
        0.113953,
        0.110741,
        0.111644,
        0.112781,
        0.113729,
        0.114383,
        0.114062,
        0.115968,
        0.115762,
        0.116231,
        0.117152,
        0.118335,
        0.119988,
        0.124209,
        0.122504,
        0.122102,
        0.121904,
        0.123433,
        0.126934,
        0.128966,
        0.130254,
        0.130608,
        0.13072,
        0.130335,
        0.129346,
        0.12847,
        0.126041,
        0.126229,
        0.124078,
        0.126966,
        0.126782,
        0.128701,
        0.127472,
        0.123952,
        0.122185,
        0.122273,
        0.12114,
        0.121794,
        0.121636,
        0.119907,
        0.119051,
        0.120267,
        0.120387,
        0.121181,
        0.122314,
        0.122716,
        0.122015,
        0.123211,
        0.135123,
        0.136125,
        0.126216,
        0.136839,
        0.139011,
        0.131878,
        0.13327,
        0.134816,
        0.136594,
        0.144527,
        0.147204,
        0.14469,
        0.149102,
        0.154763,
        0.15921,
        0.161609,
        0.166715,
        0.17213,
        0.176364,
        0.184942,
        0.194205,
        0.207349,
        0.220503,
        0.238472,
        0.264691,
        0.293136,
        0.338595,
        0.402732,
        0.494176,
        0.863559,
        1.18702,
        5.06469,
        0.537573,
        0.438312,
        0.362948,
        0.324631,
        0.284582,
        0.254835,
        0.233383,
        0.217735,
        0.212121,
        0.201161,
        0.188666,
        0.180789,
        0.173294,
        0.165469,
        0.158686,
        0.15605,
        0.152684,
        0.149524,
        0.147679,
        0.144671,
        0.141122,
        0.137514,
        0.138169,
        0.135728,
        0.133623,
        0.133957,
        0.1335,
        0.13296,
        0.133576,
        0.13304,
        0.133716,
        0.141934,
        0.139412,
        0.131678,
        0.130494,
        0.129543,
        0.137679,
        0.139199,
        0.131428,
        0.13201,
        0.131703,
        0.131301,
        0.130802,
        0.131699,
        0.133152,
        0.13419,
        0.136591,
        0.140682,
        0.143862,
        0.143598,
        0.143084,
        0.14265,
        0.141468,
        0.14026,
        0.14197,
        0.138787,
        0.136744,
        0.136725,
        0.136001,
        0.13614,
        0.135986,
        0.134878,
        0.135768,
        0.136186,
        0.136125,
        0.136199,
        0.135959,
        0.136838,
        0.138065,
        0.138738,
        0.140131,
        0.141292,
        0.141763,
        0.143242,
        0.144353,
        0.147955,
        0.15031,
        0.153332,
        0.155367,
        0.159411,
        0.164437,
        0.169538,
        0.173622,
        0.171682,
        0.169541,
        0.16992,
        0.170611,
        0.170933,
        0.173309,
        0.172422,
        0.172802,
        0.176777,
        0.177039,
        0.179237,
        0.186452,
        0.190172,
        0.197976,
        0.209178,
        0.218543,
        0.230548,
        0.241542,
        0.255733,
        0.273142,
        0.297574,
        0.326409,
        0.367352,
        0.414927,
        0.580934,
        0.719617,
        2.59375,
        3.33426,
        1.69296,
        0.595395,
        0.548551,
        0.477114,
        0.397945,
        0.357881,
        0.332116,
        0.304926,
        0.284364,
        0.267259,
        0.251382,
        0.253187,
        0.244102,
        0.226144,
        0.226925,
        0.219391,
        0.205745,
        0.203291,
        0.206118,
        0.206573,
        0.217051,
        0.227119,
        0.226695,
        0.21666,
        0.210458,
        0.199505,
        0.192056,
        0.19135,
        0.187542,
        0.181899,
        0.178383,
        0.174964,
        0.17449,
        0.172769,
        0.173281,
        0.175205,
        0.177258,
        0.178912,
        0.184614,
        0.186699,
        0.188034,
        0.192418,
        0.200819,
        0.208524,
        0.227114,
        0.240317,
        0.262525,
        0.283222,
        0.290532,
        0.324131,
        0.364216,
        0.413624,
        0.504077,
        0.627895,
        0.826203,
        1.73951,
        1.18528,
        0.671049,
        0.382315,
        0.332092,
        0.300517,
        0.270062,
        0.251169,
        0.233595,
        0.220947,
        0.21137,
        0.204429,
        0.197215,
        0.203231,
        0.194653,
        0.181672,
        0.180327,
        0.176608,
        0.174696,
        0.174132,
        0.172465,
        0.171183,
        0.171251,
        0.170327,
        0.16197,
        0.157987,
        0.155035,
        0.152412,
        0.150781,
        0.150562,
        0.149622,
        0.158572,
        0.15749,
        0.147516,
        0.146697,
        0.146935,
        0.148136,
        0.148704,
        0.148321,
        0.149369,
        0.148282,
        0.148897,
        0.149895,
        0.151522,
        0.150773,
        0.153102,
        0.154027,
        0.153949,
        0.15483,
        0.151521,
        0.151843,
        0.147812,
        0.144187,
        0.145709,
        0.145946,
        0.143294,
        0.144415,
        0.149901,
        0.148843,
        0.159178,
        0.161858,
        0.150236,
        0.148388,
        0.149382,
        0.149054,
        0.14783,
        0.147996,
        0.147647,
        0.148185,
        0.148535,
        0.149331,
        0.149022,
        0.159997,
        0.158342,
        0.146093,
        0.146752,
        0.145885,
        0.147896,
        0.147003,
        0.146267,
        0.146939,
        0.146265,
        0.145968,
        0.149378,
        0.149776,
        0.146501,
        0.146477,
        0.150109,
        0.151483,
        0.152449,
        0.152725,
        0.150992,
        0.151044,
        0.151991,
        0.155895,
        0.146676,
        0.146003,
        0.146595,
        0.149399,
        0.147748,
        0.147377,
        0.147,
        0.148787,
        0.149575,
        0.153023,
        0.154227,
        0.15755,
        0.157232,
        0.155941,
        0.157047,
        0.15677,
        0.155806,
        0.156126,
        0.156625,
        0.155028,
        0.156336,
        0.157165,
        0.154396,
        0.155649,
        0.156564,
        0.158115,
        0.16003,
        0.159484,
        0.159922,
        0.159086,
        0.161558,
        0.163512,
        0.164243,
        0.169474,
        0.175875,
        0.173476,
        0.169143,
        0.168068,
        0.17084,
        0.170963,
        0.168142,
        0.171042,
        0.169462,
        0.172376,
        0.172211,
        0.172264,
        0.178116,
        0.176685,
        0.17346,
        0.174822,
        0.180933,
        0.186899,
        0.179687,
        0.178084,
        0.178869,
        0.177699,
        0.181134,
        0.183513,
        0.184368,
        0.183465,
        0.184761,
        0.187349,
        0.188539,
        0.191112,
        0.191275,
        0.191902,
        0.193881,
        0.195268,
        0.198426,
        0.202188,
        0.221364,
        0.220558,
        0.214203,
        0.222023,
        0.230948,
        0.23762,
        0.250242,
        0.263074,
        0.27484,
        0.300584,
        0.315084,
        0.314853,
        0.338982,
        0.396922,
        0.44639,
        0.501101,
        0.608205,
        1.82003,
        0.804261,
        0.663415,
        0.554057,
        0.4807,
        0.434883,
        0.436444,
        0.387289,
        0.347675,
        0.335084,
        0.327314,
        0.32684,
        0.324606,
        0.32619,
        0.327335,
        0.321517,
        0.329508,
        0.324098,
        0.324401,
        0.33725,
        0.34491,
        0.345691,
        0.364105,
        0.371173,
        0.369269,
        0.384182,
        0.398654,
        0.407328,
        0.426278,
        0.437228,
        0.443298,
        0.464898,
        0.505143,
        0.534208,
        0.563655,
        0.588441,
        0.621641,
        0.733699,
        0.799298,
        0.682109,
        0.59625,
        0.560197,
        0.516759,
        0.495374,
        0.445101,
        0.422695,
        0.410887,
        0.364524,
        0.353145,
        0.338888,
        0.328855,
        0.318841,
        0.315593,
        0.319791,
        0.309251,
        0.302574,
        0.292032,
        0.286015,
        0.27991,
        0.274931,
        0.266026,
        0.259033,
        0.258291,
        0.253894,
        0.2497,
        0.245916,
        0.242112,
        0.239181,
        0.237473,
        0.237064,
        0.235801,
        0.229712,
        0.226756,
        0.22613,
        0.225493,
        0.229169,
        0.224258,
        0.219813,
        0.218339,
        0.217589,
        0.213234,
        0.215515,
        0.214015,
        0.213261,
        0.214339,
        0.212286,
        0.209402,
        0.209503,
        0.211042,
        0.210841,
        0.20811,
        0.208902,
        0.209144,
        0.210499,
        0.211193,
        0.209717,
        0.207369,
        0.207762,
        0.208649,
        0.210023,
        0.212595,
        0.211851,
        0.211678,
        0.212198,
        0.211073,
        0.212512,
        0.214143,
        0.212992,
        0.215494,
        0.213646,
        0.215909,
        0.216507,
        0.216888,
        0.234085,
        0.236871,
        0.229567,
        0.233763,
        0.227885,
        0.231844,
        0.236229,
        0.240487,
        0.244482,
        0.247595,
        0.25652,
        0.26299,
        0.268239,
        0.275206,
        0.289606,
        0.306899,
        0.33086,
        0.36852,
        0.41633,
        0.481205,
        0.567445,
        0.72662,
        0.528065,
        0.445711,
        0.393486,
        0.344792,
        0.302422,
        0.282948,
        0.267649,
        0.255779,
        0.253926,
        0.248796,
        0.238499,
        0.230978,
        0.229383,
        0.228711,
        0.228756,
        0.224167,
        0.221248,
        0.219509,
        0.216853,
        0.218597,
        0.222278,
        0.218123,
        0.217816,
        0.21352,
        0.213168,
        0.212049,
        0.213964,
        0.214926,
        0.212558,
        0.214131,
        0.213423,
        0.213177,
        0.211143,
        0.2171,
        0.218654,
        0.22041,
        0.220835,
        0.220503,
        0.221539,
        0.223678,
        0.224476,
        0.226355,
        0.232058,
        0.232501,
        0.231633,
        0.229749,
        0.226739,
        0.221552,
        0.222146,
        0.221142,
        0.217735,
        0.215138,
        0.213798,
        0.210876,
        0.213356,
        0.213585,
        0.212651,
        0.211504,
        0.212101,
        0.212669,
        0.213895,
        0.213337,
        0.214131,
        0.214016,
        0.214327,
        0.217102,
        0.214817,
        0.214916,
        0.219249,
        0.221953,
        0.223526,
        0.223542,
        0.224647,
        0.229511,
        0.228621,
        0.230713,
        0.228983,
        0.23041,
        0.233291,
        0.237662,
        0.241212,
        0.238599,
        0.237379,
        0.242102,
        null,
        0.330416,
        0.287505,
        0.259224,
        0.23867,
        0.222039,
        0.207268,
        0.198796,
        0.19103,
        0.184079,
        0.177814,
        0.172273,
        0.170346,
        0.167206,
        0.163499,
        0.160937,
        0.1588,
        0.161115,
        0.16443,
        0.155307,
        0.154751,
        0.153269,
        0.150997,
        0.149927,
        0.148985,
        0.148833,
        0.148303,
        0.148771,
        0.1466,
        0.14695,
        0.14695,
        0.147696,
        0.147859,
        0.14563,
        0.145759,
        0.146706,
        0.146999,
        0.146942,
        0.146415,
        0.146765,
        0.14668,
        0.147661,
        0.150206,
        0.152559,
        0.152207,
        0.153232,
        0.152285,
        0.151454,
        0.155309,
        0.152756,
        0.14959,
        0.149098,
        0.148379,
        0.1474,
        0.145346,
        0.144616,
        0.143808,
        0.142032,
        0.140717,
        0.140265,
        0.143404,
        0.142782,
        0.140334,
        0.139227,
        0.139136,
        0.138971,
        0.139678,
        0.140868,
        0.138756,
        0.137353,
        0.137007,
        0.137154,
        0.136507,
        0.134673,
        0.134069,
        0.133617,
        0.136435,
        0.136068,
        0.132639,
        0.132682,
        0.132635,
        0.132894,
        0.134105,
        0.135041,
        0.134978,
        0.135762,
        0.137985,
        0.138819,
        0.136012,
        0.136068,
        0.135676,
        0.13609,
        0.138279,
        0.138485,
        0.13685,
        0.136714,
        0.145323,
        0.144818,
        0.137993,
        0.13778,
        0.137108,
        0.137632,
        0.14016,
        0.141083,
        0.138282,
        0.137936,
        0.137916,
        0.137276,
        0.138946,
        0.13931,
        0.135924,
        0.135383,
        0.134711,
        0.134617,
        0.132879,
        0.132249,
        0.132526,
        0.133478,
        0.133503,
        0.12981,
        0.129494,
        0.129457,
        0.129423,
        0.130081,
        0.13095,
        0.130876,
        0.129957,
        0.129282,
        0.128519,
        0.127157,
        0.127025,
        0.126876,
        0.126878,
        0.126328,
        0.126757,
        0.126589,
        0.127585,
        0.137085,
        0.138651,
        0.130829,
        0.129258,
        0.130377,
        0.130339,
        0.130853,
        0.132796,
        0.133875,
        0.136344,
        0.136646,
        0.137723,
        0.139115,
        0.141423,
        0.144521,
        0.148226,
        0.153099,
        0.159347,
        0.167787,
        0.177876,
        0.189094,
        0.2061,
        0.231242,
        0.264357,
        0.310194,
        0.365677,
        0.39468,
        0.383289,
        0.353012,
        0.313515,
        0.268386,
        0.239312,
        0.215542,
        0.196077,
        0.179104,
        0.169141,
        0.162261,
        0.155713,
        0.150049,
        0.14687,
        0.144931,
        0.144128,
        0.142752,
        0.141705,
        0.140727,
        0.142472,
        0.142786,
        0.13798,
        0.136955,
        0.136918,
        0.136009,
        0.135423,
        0.136597,
        0.136943,
        0.135425,
        0.136598,
        0.139279,
        0.141145,
        0.14262,
        0.143687,
        0.144428,
        0.146806,
        0.147258,
        0.145093,
        0.143519,
        0.144003,
        0.142135,
        0.140395,
        0.141109,
        0.143462,
        0.144689,
        0.144535,
        0.142855,
        0.143177,
        0.142434,
        0.142109,
        0.142915,
        0.144578,
        0.147105,
        0.148955,
        0.157874,
        0.158226,
        0.155503,
        0.157605,
        0.159207,
        0.159299,
        0.159002,
        0.159711,
        0.162227,
        0.162392,
        0.164134,
        0.168013,
        0.169809,
        0.172079,
        0.17423,
        0.170798,
        0.17217,
        0.176253,
        0.181321,
        0.17951,
        0.183881,
        0.189596,
        0.195559,
        0.20007,
        0.204658,
        0.210719,
        0.221501,
        0.231853,
        0.235196,
        0.248482,
        0.263383,
        0.281252,
        0.297172,
        0.311668,
        0.328984,
        0.357651,
        0.398498,
        0.45054,
        0.525167,
        0.630916,
        0.766885,
        0.984546,
        2.2184,
        0.923893,
        0.739894,
        0.476413,
        0.429544,
        0.401063,
        0.391431,
        0.36822,
        0.321545,
        0.306017,
        0.294005,
        0.286251,
        0.285735,
        0.27727,
        0.26915,
        0.263948,
        0.263033,
        0.261089,
        0.259476,
        0.255655,
        0.251807,
        0.249815,
        0.249929,
        0.251455,
        0.249124,
        0.250818,
        0.251005,
        0.249517,
        0.252243,
        0.25459,
        0.253355,
        0.24845,
        0.250446,
        0.245611,
        0.239993,
        0.230605,
        0.220187,
        0.206532,
        0.19014,
        0.17571,
        0.164449,
        0.15761,
        0.152697,
        0.151255,
        0.152214,
        0.150328,
        0.15079,
        0.150261,
        0.149554,
        0.149834,
        0.149189,
        0.157492,
        0.163363,
        0.164178,
        0.173652,
        0.187484,
        0.208128,
        0.232783,
        0.261176,
        0.27878,
        0.277599,
        0.256306,
        0.23188,
        0.208682,
        0.188356,
        0.174308,
        0.165006,
        0.158918,
        0.148007,
        0.143127,
        0.139287,
        0.137159,
        0.133666,
        0.130002,
        0.129172,
        0.128097,
        0.126298,
        0.125359,
        0.124391,
        0.122705,
        0.120949,
        0.120586,
        0.120262,
        0.119567,
        0.119145,
        0.118391,
        0.118454,
        0.117348,
        0.116292,
        0.115823,
        0.116691,
        0.116903,
        0.116101,
        0.115426,
        0.115159,
        0.115229,
        0.116173,
        0.113997,
        0.112468,
        0.112797,
        0.111174,
        0.110442,
        0.111316,
        0.111058,
        0.109726,
        0.109074,
        0.108552,
        0.108612,
        0.108591,
        0.108436,
        0.109146,
        0.109029,
        0.109274,
        0.109048,
        0.108997,
        0.109559,
        0.109902,
        0.110324,
        0.1113,
        0.112684,
        0.111364,
        0.111718,
        0.111931,
        0.111938,
        0.113169,
        0.114692,
        0.120425,
        0.119494,
        0.112881,
        0.114109,
        0.115234,
        0.1156,
        0.115529,
        0.115541,
        0.115854,
        0.116716,
        0.116637,
        0.117212,
        0.122579,
        0.121611,
        0.113788,
        0.112322,
        0.11127,
        0.110316,
        0.109764,
        0.109637,
        0.109,
        0.10927,
        0.108899,
        0.108579,
        0.107993,
        0.106454,
        0.107818,
        0.107351,
        0.113466,
        0.111984,
        0.105498,
        0.105363,
        0.105069,
        0.105042,
        0.10535,
        0.105099,
        0.104178,
        0.108196,
        0.109232,
        0.106218,
        0.105341,
        0.104853,
        0.105916,
        0.104903,
        0.104341,
        0.104943,
        0.109707,
        0.109703,
        0.105574,
        0.106004,
        0.105745,
        0.105247,
        0.106144,
        0.106639,
        0.107095,
        0.108162,
        0.108202,
        0.108474,
        0.108833,
        0.108931,
        0.110223,
        0.112093,
        0.112745,
        0.112766,
        0.112863,
        0.112124,
        0.112192,
        0.112564,
        0.110682,
        0.110149,
        0.110198,
        0.111063,
        0.114756,
        0.113656,
        0.110537,
        0.110252,
        0.110958,
        0.110665,
        0.110631,
        0.110964,
        0.111223,
        0.111379,
        0.11509,
        0.116049,
        0.112591,
        0.11086,
        0.111063,
        0.11413,
        0.116074,
        0.114457,
        0.116409,
        0.118209,
        0.119146,
        0.12008,
        0.120943,
        0.131131,
        0.131282,
        0.126823,
        0.128606,
        0.134095,
        0.148363,
        0.154302,
        0.163272,
        0.177491,
        0.191386,
        0.193734,
        0.187625,
        0.175007,
        0.162818,
        0.151151,
        0.143127,
        0.136145,
        0.131002,
        0.128452,
        0.12846,
        0.127137,
        0.125425,
        0.124403,
        0.122917,
        0.121239,
        0.11891,
        0.117206,
        0.117256,
        0.116278,
        0.115495,
        0.116053,
        0.11665,
        0.117357,
        0.116976,
        0.11652,
        0.117388,
        0.119351,
        0.121002,
        0.1224,
        0.128052,
        0.127232,
        0.120605,
        0.119379,
        0.117412,
        0.115691,
        0.113085,
        0.111681,
        0.113572,
        0.111863,
        0.107448,
        0.110609,
        0.110011,
        0.105154,
        0.105559,
        0.109342,
        0.109039,
        0.105243,
        0.109735,
        0.109062,
        0.104334,
        0.103746,
        0.104158,
        0.103498,
        0.108376,
        0.10707,
        0.101156,
        0.106549,
        0.106975,
        0.102897,
        0.102824,
        0.103904,
        0.105321,
        0.105542,
        0.105536,
        0.10595,
        0.106169,
        0.106838,
        0.112167,
        0.112031,
        0.109579,
        0.110126,
        0.111433,
        0.111757,
        0.118606,
        0.119034,
        0.1121,
        0.110814,
        0.110767,
        0.111208,
        0.11064,
        0.121,
        0.120574,
        0.120176,
        0.120367,
        0.110736,
        0.110902,
        0.111085,
        0.110863,
        0.109495,
        0.115709,
        0.121288,
        0.11735,
        0.115646,
        0.110727,
        0.109576,
        0.110078,
        0.111869,
        0.116098,
        0.113504,
        0.110426,
        0.11006,
        0.110355,
        0.12006,
        0.120205,
        0.10751,
        0.107187,
        0.106975,
        0.107815,
        0.108838,
        0.109081,
        0.107673,
        0.108048,
        0.107884,
        0.107742,
        0.108346,
        0.109789,
        0.110455,
        0.111905,
        0.112407,
        0.113804,
        0.114901,
        0.115989,
        0.123448,
        0.127549,
        0.120728,
        0.118118,
        0.119026,
        0.120344,
        0.120987,
        0.121786,
        0.123175,
        0.124755,
        0.136421,
        0.137505,
        0.130243,
        0.13238,
        0.137681,
        0.139486,
        0.141495,
        0.145786,
        0.152087,
        0.158971,
        0.165978,
        0.174856,
        0.187344,
        0.2032,
        0.211581,
        0.22301,
        0.238081,
        0.26131,
        0.292599,
        0.33511,
        0.364842,
        0.424034,
        0.594607,
        0.581672,
        0.525168,
        0.47196,
        0.413865,
        0.365667,
        0.318733,
        0.287514,
        0.270252,
        0.250349,
        0.230418,
        0.21975,
        0.21724,
        0.216089,
        0.215407,
        0.211592,
        0.217188,
        0.210134,
        0.200395,
        0.184859,
        0.176476,
        0.164558,
        0.151415,
        0.147804,
        0.139053,
        0.131972,
        0.130907,
        0.12696,
        0.126436,
        0.121011,
        0.118784,
        0.118652,
        0.117241,
        0.115869,
        0.116226,
        0.115152,
        0.121443,
        0.121471,
        0.114421,
        0.114229,
        0.113778,
        0.113082,
        0.113772,
        0.11392,
        0.11407,
        0.113242,
        0.113506,
        0.11316,
        0.112898,
        0.112697,
        0.114166,
        0.113793,
        0.111415,
        0.111664,
        0.111216,
        0.109674,
        0.109381,
        0.109391,
        0.108007,
        0.109791,
        0.110114,
        0.107889,
        0.108012,
        0.107975,
        0.107658,
        0.107809,
        0.107793,
        0.106953,
        0.10657,
        0.10571,
        0.10789,
        0.108366,
        0.108136,
        0.108446,
        0.108572,
        0.109828,
        0.110689,
        0.110026,
        0.11019,
        0.110488,
        0.10973,
        0.108177,
        0.106794,
        0.107154,
        0.11166,
        0.109482,
        0.102037,
        0.102801,
        0.102195,
        0.102625,
        0.103124,
        0.100974,
        0.101005,
        0.100393,
        0.100725,
        0.100858,
        0.105561,
        0.10697,
        0.102363,
        0.103687,
        0.104338,
        0.104128,
        0.104221,
        0.103369,
        0.103047,
        0.107679,
        0.10809,
        0.11021,
        0.109239,
        0.109611,
        0.118186,
        0.120419,
        0.112527,
        0.103815,
        0.103797,
        0.104391,
        0.104528,
        0.104348,
        0.104837,
        0.105303,
        0.105449,
        0.105376,
        0.106196,
        0.106116,
        0.104686,
        0.104293,
        0.106194,
        0.105961,
        0.102767,
        0.102352,
        0.102912,
        0.103059,
        0.102693,
        0.100757,
        0.10048,
        0.100067,
        0.0995113,
        0.0991418,
        0.0999323,
        0.105264,
        0.106761,
        0.10145,
        0.0995306,
        0.0992497,
        0.0989405,
        0.0991497,
        0.0988066,
        0.0985334,
        0.0994853,
        0.0992862,
        0.0986237,
        0.0986449,
        0.104757,
        0.109102,
        0.100985,
        0.100956,
        0.100567,
        0.100627,
        0.101816,
        0.102295,
        0.103884,
        0.104975,
        0.108092,
        0.107981,
        0.106114,
        0.106169,
        0.107029,
        0.107849,
        0.107863,
        0.108254,
        0.107629,
        0.108042,
        0.10845,
        0.108544,
        0.107569,
        0.107573,
        0.107822,
        0.108941,
        0.109444,
        0.109473,
        0.110589,
        0.110999,
        0.113119,
        0.113863,
        0.114507,
        0.116451,
        0.118468,
        0.122136,
        0.125905,
        0.131591,
        0.140722,
        0.149699,
        0.157064,
        0.161429,
        0.160134,
        0.153022,
        0.145774,
        0.14086,
        0.134253,
        0.12904,
        0.129889,
        0.126171,
        0.120582,
        0.118237,
        0.11785,
        0.116874,
        0.114943,
        0.114024,
        0.112898,
        0.115609,
        0.115931,
        0.112825,
        0.108783,
        0.107936,
        0.107961,
        0.107555,
        0.106813,
        0.106961,
        0.107164,
        0.10785,
        0.10718,
        0.106495,
        0.105652,
        0.106737,
        0.107693,
        0.107864,
        0.105232,
        0.103746,
        0.103698,
        0.103998,
        0.105027,
        0.104434,
        0.104159,
        0.105046,
        0.104581,
        0.105815,
        0.106292,
        0.106555,
        0.107727,
        0.107609,
        0.107651,
        0.108025,
        0.108929,
        0.10916,
        0.109379,
        0.109487,
        0.110046,
        0.11093,
        0.111938,
        0.112054,
        0.112177,
        0.112765,
        0.111629,
        0.111326,
        0.116361,
        0.115053,
        0.107545,
        0.115025,
        0.115785,
        0.105248,
        0.105708,
        0.105921,
        0.105924,
        0.105515,
        0.104467,
        0.104755,
        0.103974,
        0.1049,
        0.10526,
        0.1046,
        0.104056,
        0.104541,
        0.104525,
        0.102857,
        0.102916,
        0.103429,
        0.103479,
        0.103207,
        0.103206,
        0.103008,
        0.102562,
        0.102041,
        0.102031,
        0.103099,
        0.102954,
        0.102773,
        0.103499,
        0.104304,
        0.104612,
        0.104482,
        0.105995,
        0.105743,
        0.104621,
        0.111564,
        0.112037,
        0.104185,
        0.112073,
        0.113605,
        0.108199,
        0.108023,
        0.108232,
        0.108805,
        0.108394,
        0.108764,
        0.113426,
        0.113891,
        0.109669,
        0.109503,
        0.109466,
        0.109018,
        0.109369,
        0.109221,
        0.109646,
        0.111153,
        0.109157,
        0.108954,
        0.108842,
        0.108354,
        0.107985,
        0.108672,
        0.107399,
        0.105837,
        0.105094,
        0.105691,
        0.105871,
        0.105339,
        0.109851,
        0.108904,
        0.103713,
        0.10342,
        0.103886,
        0.103598,
        0.104197,
        0.10408,
        0.10487,
        0.107008,
        0.107491,
        0.1087,
        0.111949,
        0.109241,
        0.104505,
        0.104358,
        0.104821,
        0.106579,
        0.106625,
        0.105166,
        0.105143,
        0.105952,
        0.106359,
        0.105858,
        0.104665,
        0.105011,
        0.105945,
        0.105664,
        0.105649,
        0.105944,
        0.107281,
        0.113958,
        0.117679,
        0.11031,
        0.111562,
        0.111657,
        0.111227,
        0.112005,
        0.114281,
        0.11621,
        0.119441,
        0.123273,
        0.126173,
        0.130797,
        0.135296,
        0.137057,
        0.138423,
        0.137913,
        0.135582,
        0.131696,
        0.12874,
        0.136143,
        0.139876,
        0.133117,
        0.130649,
        0.13252,
        0.130297,
        0.125055,
        0.121883,
        0.118437,
        0.116608,
        0.114695,
        0.116614,
        0.112296,
        0.109153,
        0.108824,
        0.107723,
        0.112888,
        0.113428,
        0.107337,
        0.105957,
        0.105153,
        0.105154,
        0.105747,
        0.103702,
        0.104103,
        0.105803,
        0.106901,
        0.106107,
        0.106281,
        0.106244,
        0.105779,
        0.106132,
        0.106518,
        0.105771,
        0.105668,
        0.106575,
        0.107217,
        0.104911,
        0.104501,
        0.10445,
        0.104216,
        0.105856,
        0.106066,
        0.108543,
        0.114712,
        0.114967,
        0.111089,
        0.111367,
        0.110493,
        0.1109,
        0.110211,
        0.110334,
        0.113124,
        0.112087,
        0.108287,
        0.108774,
        0.111452,
        0.112152,
        0.109533,
        0.1099,
        0.109574,
        0.109373,
        0.109615,
        0.110115,
        0.110945,
        0.111286,
        0.111736,
        0.115656,
        0.115173,
        0.112683,
        0.113345,
        0.116217,
        0.11742,
        0.117765,
        0.11928,
        0.120381,
        0.122552,
        0.124388,
        0.125001,
        0.127626,
        0.126372,
        0.121224,
        0.117325,
        0.115149,
        0.113791,
        0.111692,
        0.110787,
        0.10994,
        0.107872,
        0.106867,
        0.105929,
        0.106293,
        0.106856,
        0.108545,
        0.108995,
        0.10862,
        0.110198,
        0.112022,
        0.114176,
        0.117024,
        0.119991,
        0.131291,
        0.141903,
        0.14643,
        0.146294,
        0.153438,
        0.160295,
        0.161174,
        0.15453,
        0.148636,
        0.145471,
        0.138497,
        0.130444,
        0.128444,
        0.123939,
        0.120243,
        0.117712,
        0.116276,
        0.11547,
        0.114527,
        0.113839,
        0.113747,
        0.112996,
        0.112972,
        0.113,
        0.113477,
        0.112454,
        0.113074,
        0.11261,
        0.113261,
        0.113959,
        0.114111,
        0.112703,
        0.111594,
        0.111522,
        0.110551,
        0.109482,
        0.109453,
        0.109216,
        0.109323,
        0.108723,
        0.10791,
        0.111445,
        0.110939,
        0.106448,
        0.106262,
        0.106112,
        0.11134,
        0.110375,
        0.105126,
        0.104105,
        0.107382,
        0.108625,
        0.10594,
        0.106196,
        0.105938,
        0.105709,
        0.105198,
        0.104815,
        0.105755,
        0.106433,
        0.106458,
        0.107142,
        0.113845,
        0.1135,
        0.107034,
        0.111611,
        0.116011,
        0.113832,
        0.11287,
        0.114501,
        0.116208,
        0.118834,
        0.121716,
        0.123526,
        0.125942,
        0.125173,
        0.124266,
        0.124052,
        0.121345,
        0.119589,
        0.118201,
        0.117092,
        0.116964,
        0.118104,
        0.118825,
        0.119306,
        0.120213,
        0.121374,
        0.122475,
        0.125042,
        0.128063,
        0.131463,
        0.13649,
        0.141495,
        0.142105,
        0.141585,
        0.133526,
        0.128294,
        0.126188,
        0.124215,
        0.12225,
        0.120468,
        0.119764,
        0.117868,
        0.115886,
        0.115059,
        0.116345,
        0.118012,
        0.116109,
        0.112614,
        0.1131,
        0.114072,
        0.112913,
        0.112132,
        0.112831,
        0.111763,
        0.11225,
        0.114581,
        0.115711,
        0.112461,
        0.119756,
        0.116059,
        0.111634,
        0.114802,
        0.114759,
        0.114996,
        0.114649,
        0.110256,
        0.115202,
        0.115164,
        0.112026,
        0.111351,
        0.110068,
        0.109659,
        0.119619,
        0.119106,
        0.112082,
        0.11324,
        0.111811,
        0.111695,
        0.112999,
        0.11196,
        0.112481,
        0.112679,
        0.114725,
        0.116637,
        0.114624,
        0.115809,
        0.116208,
        0.115718,
        0.115219,
        0.122686,
        0.124361,
        0.115528,
        0.116975,
        0.117457,
        0.116631,
        0.116256,
        0.11607,
        0.115842,
        0.115564,
        0.116373,
        0.115464,
        0.115263,
        0.115922,
        0.120519,
        0.119528,
        0.115105,
        0.116018,
        0.115711,
        0.116483,
        0.117553,
        0.118164,
        0.115522,
        0.113606,
        0.112636,
        0.113514,
        0.11274,
        0.118384,
        0.11811,
        0.114207,
        0.113672,
        0.113752,
        0.115163,
        0.114541,
        0.114845,
        0.114484,
        0.11243,
        0.111452,
        0.111957,
        0.112394,
        0.112352,
        0.111371,
        0.112663,
        0.113682,
        0.114042,
        0.113849,
        0.114708,
        0.115511,
        0.116952,
        0.119339,
        0.125413,
        0.125543,
        0.119161,
        0.122044,
        0.123706,
        0.127716,
        0.128763,
        0.126115,
        0.127518,
        0.12684,
        0.127283,
        0.128809,
        0.126308,
        0.124935,
        0.124768,
        0.125663,
        0.126451,
        0.125953,
        0.126412,
        0.13644,
        0.134211,
        0.12438,
        0.123678,
        0.12358,
        0.12328,
        0.122546,
        0.123442,
        0.123096,
        0.122896,
        0.123622,
        0.123605,
        0.122426,
        0.123054,
        0.123206,
        0.120744,
        0.120864,
        0.121057,
        0.119483,
        0.120294,
        0.119955,
        0.120476,
        0.121103,
        0.121518,
        0.121503,
        0.121591,
        0.121298,
        0.121955,
        0.121992,
        0.123471,
        0.125552,
        0.126709,
        0.125165,
        0.126118,
        0.126666,
        0.129478,
        0.131749,
        0.132076,
        0.13225,
        0.132872,
        0.131659,
        0.130696,
        0.130843,
        0.130273,
        0.130992,
        0.129924,
        0.129536,
        0.128219,
        0.128505,
        0.128234,
        0.129123,
        0.130337,
        0.131677,
        0.130965,
        0.132201,
        0.133686,
        0.134047,
        0.135767,
        0.138081,
        0.13934,
        0.141097,
        0.143512,
        0.145831,
        0.14958,
        0.1547,
        0.161288,
        0.174,
        0.18325,
        0.171707,
        0.16768,
        0.164122,
        0.160986,
        0.159322,
        0.158545,
        0.155794,
        0.153598,
        0.151333,
        0.150969,
        0.150415,
        0.14894,
        0.147399,
        0.144577,
        0.143363,
        0.143625,
        0.143194,
        0.143062,
        0.142967,
        0.14305,
        0.143477,
        0.142895,
        0.142453,
        0.142381,
        0.1491,
        0.148804,
        0.144031,
        0.145376,
        0.147518,
        0.148921,
        0.149061,
        0.150822,
        0.152182,
        0.153318,
        0.15448,
        0.156876,
        0.161445,
        0.166262,
        0.163061,
        0.161695,
        0.168604,
        0.169989,
        0.168248,
        0.169313,
        0.170833,
        0.174309,
        0.181294,
        0.188693,
        0.188595,
        0.186215,
        0.189829,
        0.19466,
        0.205734,
        0.209282,
        0.21438,
        0.218299,
        0.215725,
        0.226231,
        0.238221,
        0.239276,
        0.246101,
        0.252929,
        0.263691,
        0.271604,
        0.288067,
        0.30152,
        0.318412,
        0.336049,
        0.353019,
        0.380306,
        0.41229,
        0.441907,
        0.498755,
        0.574766,
        0.639915,
        0.718733,
        0.889729,
        2.16537,
        2.19348,
        1.89662,
        1.50808,
        1.16458,
        0.977606,
        0.877657,
        0.583789,
        0.544622,
        0.426935,
        0.410907,
        0.405129,
        0.396678,
        0.389438,
        0.388474,
        0.388406,
        0.390439,
        0.396578,
        0.410951,
        0.424703,
        0.432335,
        0.482201,
        0.552711,
        0.703355,
        0.766591,
        0.863043,
        1.64434,
        2.19844,
        3.18159,
        2.60537,
        2.03726,
        1.67815,
        0.56404,
        0.513094,
        0.399372,
        0.389626,
        0.364572,
        0.343004,
        0.32627,
        0.317233,
        0.302399,
        0.299905,
        0.294461,
        0.291613,
        0.28617,
        0.268909,
        0.253371,
        0.251396,
        0.250292,
        0.245886,
        0.239155,
        0.232938,
        0.231153,
        0.228889,
        0.237584,
        0.23694,
        0.22879,
        0.237808,
        0.237909,
        0.231642,
        0.228425,
        0.215226,
        0.214621,
        0.214496,
        0.218037,
        0.218776,
        0.218538,
        0.225459,
        0.235647,
        0.246422,
        0.254439,
        0.256802,
        0.252303,
        0.245309,
        0.235846,
        0.227267,
        0.22037,
        0.212331,
        0.202407,
        0.203984,
        0.20083,
        0.190393,
        0.187177,
        0.185475,
        0.184408,
        0.182968,
        0.183827,
        0.182936,
        0.183051,
        0.180816,
        0.178866,
        0.177774,
        0.178228,
        0.177122,
        0.178888,
        0.174561,
        0.171538,
        0.171334,
        0.169742,
        0.166458,
        0.166326,
        0.168653,
        0.173838,
        0.169457,
        0.163157,
        0.163344,
        0.166626,
        0.168691,
        0.157133,
        0.154683,
        0.154573,
        0.154009,
        0.153956,
        0.155258,
        0.154286,
        0.151553,
        0.151048,
        0.151359,
        0.151885,
        0.153495,
        0.15285,
        0.151762,
        0.152022,
        0.152097,
        0.152479,
        0.153995,
        0.164332,
        0.164029,
        0.155509,
        0.155941,
        0.158199,
        0.156964,
        0.16167,
        0.162002,
        0.157043,
        0.15704,
        0.156267,
        0.157327,
        0.159842,
        0.155563,
        0.156933,
        0.161656,
        0.16021,
        0.171986,
        0.172504,
        0.16091,
        0.158587,
        0.159204,
        0.16352,
        0.16417,
        0.159244,
        0.158093,
        0.162412,
        0.15675,
        0.154929,
        0.15932,
        0.159362,
        0.154615,
        0.154357,
        0.15566,
        0.154824,
        0.150206,
        0.151929,
        0.151803,
        0.149917,
        0.148316,
        0.148027,
        0.147513,
        0.148222,
        0.147812,
        0.147743,
        0.148054,
        0.153883,
        0.155672,
        0.151009,
        0.151544,
        0.151131,
        0.149553,
        0.150471,
        0.150129,
        0.153532,
        0.152876,
        0.154196,
        0.153813,
        0.155417,
        0.155513,
        0.152036,
        0.153905,
        0.155975,
        0.154081,
        0.154388,
        0.156473,
        0.156297,
        0.15336,
        0.152056,
        0.160022,
        0.159159,
        0.152669,
        0.158354,
        0.160316,
        0.155999,
        0.154881,
        0.154862,
        0.165281,
        0.166565,
        0.157519,
        0.156301,
        0.157219,
        0.157773,
        0.159023,
        0.160005,
        0.160792,
        0.161058,
        0.162156,
        0.163271,
        0.171335,
        0.168822,
        0.162567,
        0.165425,
        0.16317,
        0.161341,
        0.159524,
        0.158336,
        0.158274,
        0.157575,
        0.153885,
        0.154433,
        0.154765,
        0.156394,
        0.155932,
        0.153921,
        0.154297,
        0.155235,
        0.154103,
        0.153865,
        0.154943,
        0.154911,
        0.155083,
        0.154229,
        0.153509,
        0.151751,
        0.152545,
        0.154714,
        0.155126,
        0.151544,
        0.152546,
        0.151672,
        0.151138,
        0.151015,
        0.155287,
        0.155085,
        0.151062,
        0.152897,
        0.158413,
        0.158206,
        0.152609,
        0.156581,
        0.157126,
        0.157038,
        0.15986,
        0.161141,
        0.160379,
        0.162267,
        0.166752,
        0.168331,
        0.172426,
        0.176039,
        0.180665,
        0.188906,
        0.196751,
        0.207455,
        0.212979,
        0.21406,
        0.209625,
        0.2022,
        0.194183,
        0.187246,
        0.187224,
        0.183051,
        0.182361,
        0.180927,
        0.170745,
        0.1721,
        0.169772,
        0.168057,
        0.167759,
        0.166346,
        0.16497,
        0.16496,
        0.164962,
        0.164713,
        0.16509,
        0.165306,
        0.166334,
        0.165623,
        0.163939,
        0.165015,
        0.169188,
        0.165645,
        0.163071,
        0.161844,
        0.164447,
        0.178873,
        0.172394,
        0.157962,
        0.15747,
        0.158075,
        0.158874,
        0.15945,
        0.158869,
        0.156777,
        0.156849,
        0.15837,
        0.159201,
        0.158396,
        0.15778,
        0.159917,
        0.15905,
        0.154773,
        0.156495,
        0.158251,
        0.160773,
        0.160015,
        0.159638,
        0.161765,
        0.162296,
        0.163678,
        0.164247,
        0.164189,
        0.167156,
        0.166427,
        0.165391,
        0.167506,
        0.164687,
        0.165229,
        0.176226,
        0.174957,
        0.172639,
        0.176787,
        0.171636,
        0.174247,
        0.174834,
        0.169347,
        0.168786,
        0.171389,
        0.173421,
        0.172912,
        0.172463,
        0.171408,
        0.173667,
        0.17495,
        0.176063,
        0.178385,
        0.177728,
        0.177407,
        0.177252,
        0.178103,
        0.178985,
        0.1801,
        0.179081,
        0.179412,
        0.179912,
        0.179295,
        0.18111,
        0.180093,
        0.180628,
        0.180981,
        0.180229,
        0.182169,
        0.183251,
        0.184273,
        0.183185,
        0.180323,
        0.182988,
        0.184514,
        0.185955,
        0.183495,
        0.181932,
        0.184719,
        0.183735,
        0.18262,
        0.184033,
        0.186032,
        0.187585,
        0.188718,
        0.200902,
        0.202992,
        0.189683,
        0.193321,
        0.193958,
        0.192676,
        0.19478,
        0.195172,
        0.210178,
        0.21333,
        0.202062,
        0.202379,
        0.202723,
        0.203356,
        0.204986,
        0.206986,
        0.20822,
        0.211899,
        0.215121,
        0.216633,
        0.219258,
        0.221399,
        0.224107,
        0.228888,
        0.23361,
        0.235406,
        0.237193,
        0.238706,
        0.259746,
        0.259753,
        0.246762,
        0.247648,
        0.249523,
        0.257926,
        0.259925,
        0.270508,
        0.275215,
        0.271606,
        0.27492,
        0.27792,
        0.282947,
        0.288903,
        0.294721,
        0.298811,
        0.302797,
        0.312427,
        0.315702,
        0.322518,
        0.330736,
        0.335281,
        0.344467,
        0.361104,
        0.373729,
        0.376897,
        0.385615,
        0.40029,
        0.41768,
        0.434054,
        0.453403,
        0.473955,
        0.487172,
        0.520375,
        0.552416,
        0.600366,
        0.726079,
        0.803914,
        0.883275,
        0.988964,
        null,
        0.214978,
        0.218615,
        0.218012,
        0.211125,
        0.20414,
        0.195346,
        0.189593,
        0.181719,
        0.176162,
        0.172165,
        0.169391,
        0.16714,
        0.165136,
        0.163148,
        0.161183,
        0.160149,
        0.159446,
        0.159052,
        0.159962,
        0.160925,
        0.159638,
        0.159855,
        0.160522,
        0.162234,
        0.162692,
        0.162712,
        0.163324,
        0.162626,
        0.161499,
        0.162574,
        0.163865,
        0.164245,
        0.164146,
        0.16461,
        0.165751,
        0.166372,
        0.167249,
        0.167099,
        0.167499,
        0.174358,
        0.17204,
        0.167555,
        0.168602,
        0.169343,
        0.16881,
        0.174853,
        0.172864,
        0.166009,
        0.168529,
        0.169467,
        0.1804,
        0.179778,
        0.167299,
        0.168974,
        0.170663,
        0.170942,
        0.171319,
        0.170701,
        0.17034,
        0.170397,
        0.172187,
        0.173233,
        0.17488,
        0.177264,
        0.180815,
        0.182816,
        0.184591,
        0.188001,
        0.186782,
        0.187602,
        0.188062,
        0.189051,
        0.190814,
        0.193897,
        0.198012,
        0.208302,
        0.222346,
        0.238401,
        0.238442,
        0.237254,
        0.229601,
        0.218958,
        0.211077,
        0.206732,
        0.204524,
        0.203962,
        0.202098,
        0.20325,
        0.203721,
        0.205897,
        0.222328,
        0.216415,
        0.206176,
        0.206639,
        0.208232,
        0.209481,
        0.211487,
        0.214514,
        0.215997,
        0.215301,
        0.223795,
        0.225583,
        0.222277,
        0.22275,
        0.22533,
        0.233334,
        0.234503,
        0.235617,
        0.243529,
        0.247972,
        0.243595,
        0.249519,
        0.251379,
        0.250193,
        0.253183,
        0.256105,
        0.262507,
        0.267936,
        0.269434,
        0.283135,
        0.285303,
        0.283681,
        0.291992,
        0.299685,
        0.302695,
        0.309388,
        0.322054,
        0.331511,
        0.344499,
        0.354763,
        0.370094,
        0.383561,
        0.398545,
        0.417682,
        0.439984,
        0.455516,
        0.4883,
        0.710904,
        0.77891,
        0.88126,
        1.49767,
        2.42801,
        1.85488,
        0.878821,
        0.776766,
        0.713791,
        0.647707,
        0.592421,
        0.538623,
        0.538165,
        0.51672,
        0.524165,
        0.527148,
        0.711022,
        0.764851,
        0.822263,
        0.892254,
        0.945097,
        0.995717,
        2.75092,
        3.40725,
        9.73827,
        14.3085,
        18.2396,
        5.29781,
        4.01265,
        3.36478,
        2.10498,
        1.78282,
        1.30242,
        1.13963,
        0.718425,
        0.685653,
        0.60134,
        0.555703,
        0.519664,
        0.500775,
        0.491304,
        0.47524,
        0.456115,
        0.442011,
        0.428758,
        0.416375,
        0.40266,
        0.384104,
        0.372156,
        0.366961,
        0.364688,
        0.342405,
        0.326261,
        0.317894,
        0.312685,
        0.310729,
        0.309703,
        0.334139,
        0.302343,
        0.299349,
        0.298394,
        0.299898,
        0.303352,
        0.297011,
        0.298455,
        0.304425,
        0.298932,
        0.294406,
        0.298353,
        0.300554,
        0.302259,
        0.305934,
        0.3087,
        0.30981,
        0.312158,
        0.314854,
        0.317722,
        0.32023,
        0.319193,
        0.323104,
        0.326837,
        0.328958,
        0.345553,
        0.352226,
        0.347415,
        0.359801,
        0.365408,
        0.351458,
        0.358687,
        0.367706,
        0.373531,
        0.38131,
        0.379524,
        0.378597,
        0.394798,
        0.40751,
        0.404045,
        0.409986,
        0.41715,
        0.425692,
        0.431197,
        0.439682,
        0.449392,
        0.452001,
        0.46333,
        0.478373,
        0.496668,
        0.500662,
        0.516526,
        0.53304,
        0.602991,
        0.588952,
        0.601397,
        0.644182,
        0.67239,
        0.749959,
        0.777311,
        0.800899,
        0.922964,
        1.10021,
        1.18686,
        1.29659,
        1.49336,
        1.73428,
        2.26287,
        2.31578,
        null,
        0.92803,
        0.826326,
        0.816807,
        0.792599,
        0.627723,
        0.624497,
        0.588315,
        0.566121,
        0.501254,
        0.494021,
        0.473309,
        0.453875,
        0.415297,
        0.403564,
        0.393584,
        0.386101,
        0.377928,
        0.36938,
        0.361424,
        0.356908,
        0.348751,
        0.352529,
        0.345737,
        0.326607,
        0.30601,
        0.300285,
        0.295874,
        0.295127,
        0.289038,
        0.283745,
        0.283838,
        0.283077,
        0.27888,
        0.285086,
        0.277241,
        0.267178,
        0.261856,
        0.259466,
        0.259144,
        0.25747,
        0.254465,
        0.254056,
        0.251133,
        0.250309,
        0.247435,
        0.242654,
        0.238738,
        0.237194,
        0.233963,
        0.233187,
        0.23155,
        0.231658,
        0.225647,
        0.223431,
        0.223237,
        0.222079,
        0.231519,
        0.229372,
        0.212872,
        0.210413,
        0.213247,
        0.214994,
        0.203312,
        0.202097,
        0.200248,
        0.211356,
        0.217843,
        0.200535,
        0.194932,
        0.204081,
        0.200448,
        0.187082,
        0.194175,
        0.193454,
        0.18414,
        0.182432,
        0.180485,
        0.176524,
        0.175324,
        0.175801,
        0.176064,
        0.182793,
        0.182238,
        0.171329,
        0.169808,
        0.171045,
        0.171193,
        0.174767,
        0.175452,
        0.171679,
        0.172617,
        0.172279,
        0.172256,
        0.171193,
        0.169996,
        0.168559,
        0.167961,
        0.170898,
        0.167578,
        0.1672,
        0.167918,
        0.167887,
        0.16659,
        0.165705,
        0.166544,
        0.168244,
        0.168581,
        0.16643,
        0.168088,
        0.166696,
        0.17124,
        0.172022,
        0.162998,
        0.165093,
        0.163257,
        0.165645,
        0.164293,
        0.163825,
        0.164492,
        0.163822,
        0.164541,
        0.162516,
        0.161214,
        0.160197,
        0.1584,
        0.158404,
        0.156659,
        0.156668,
        0.155251,
        0.153689,
        0.154553,
        0.155113,
        0.151731,
        0.153149,
        0.154031,
        0.154945,
        0.156571,
        0.157289,
        0.16119,
        0.167258,
        0.173219,
        0.17787,
        0.17751,
        0.175568,
        0.169646,
        0.163716,
        0.159006,
        0.155666,
        0.152264,
        0.148439,
        0.150587,
        0.146275,
        0.143734,
        0.144274,
        0.144611,
        0.144417,
        0.144014,
        0.143221,
        0.143822,
        0.142212,
        0.141254,
        0.142552,
        0.150574,
        0.15065,
        0.142746,
        0.142452,
        0.144022,
        0.145996,
        0.14712,
        0.148174,
        0.146982,
        0.146709,
        0.148369,
        0.149802,
        0.150328,
        0.151656,
        0.151309,
        0.150798,
        0.149924,
        0.147492,
        0.145216,
        0.143329,
        0.142613,
        0.141379,
        0.141063,
        0.140891,
        0.140917,
        0.13966,
        0.139897,
        0.138662,
        0.13717,
        0.136904,
        0.136034,
        0.135023,
        0.134694,
        0.133874,
        0.133331,
        0.131658,
        0.133814,
        0.134099,
        0.134174,
        0.132336,
        0.131346,
        0.130658,
        0.131266,
        0.132019,
        0.138656,
        0.138413,
        0.130683,
        0.130611,
        0.132126,
        0.132562,
        0.134033,
        0.134699,
        0.136662,
        0.139505,
        0.142773,
        0.145187,
        0.148607,
        0.151854,
        0.153577,
        0.155517,
        0.156381,
        0.154891,
        0.155316,
        0.152505,
        0.148383,
        0.148331,
        0.143113,
        0.142832,
        0.1399,
        0.135365,
        0.135606,
        0.134094,
        0.132293,
        0.132028,
        0.132494,
        0.131546,
        0.130757,
        0.130868,
        0.13086,
        0.129831,
        0.12969,
        0.12935,
        0.127307,
        0.13013,
        0.135146,
        0.12894,
        0.125363,
        0.124593,
        0.122626,
        0.121985,
        0.12279,
        0.122374,
        0.120823,
        0.120186,
        0.1197,
        0.119777,
        0.118015,
        0.117837,
        0.117204,
        0.11774,
        0.117883,
        0.117839,
        0.117612,
        0.117438,
        0.117585,
        0.11685,
        0.117308,
        0.117771,
        0.119157,
        0.119649,
        0.117507,
        0.117407,
        0.117067,
        0.116833,
        0.117893,
        0.118923,
        0.119274,
        0.117932,
        0.121618,
        0.12602,
        0.120869,
        0.12153,
        0.123253,
        0.123265,
        0.120914,
        0.121207,
        0.121126,
        0.120946,
        0.120563,
        0.120779,
        0.121419,
        0.122189,
        0.128085,
        0.12941,
        0.120968,
        0.121425,
        0.122547,
        0.122467,
        0.120236,
        0.119259,
        0.119972,
        0.120534,
        0.120007,
        0.121274,
        0.121692,
        0.122284,
        0.120733,
        0.119544,
        0.119103,
        0.118886,
        0.127112,
        0.127099,
        0.120688,
        0.120288,
        0.118149,
        0.118436,
        0.119624,
        0.119968,
        0.120553,
        0.123186,
        0.125231,
        0.125668,
        0.127521,
        0.130886,
        0.137972,
        0.142862,
        0.144934,
        0.144365,
        0.140527,
        0.13647,
        0.130608,
        0.126195,
        0.12475,
        0.123096,
        0.12102,
        0.119781,
        0.118523,
        0.118581,
        0.118422,
        0.117969,
        0.11776,
        0.116809,
        0.11641,
        0.117409,
        0.118112,
        0.119324,
        0.11826,
        0.119345,
        0.119205,
        0.119891,
        0.123249,
        0.122502,
        0.119901,
        0.120249,
        0.120112,
        0.120261,
        0.120369,
        0.121224,
        0.120106,
        0.121698,
        0.126254,
        0.124964,
        0.120624,
        0.120877,
        0.119729,
        0.119642,
        0.122104,
        0.124507,
        0.120303,
        0.12358,
        0.120837,
        0.121278,
        0.121709,
        0.11781,
        0.116962,
        0.116889,
        0.116312,
        0.115751,
        0.115566,
        0.115341,
        0.115449,
        0.115865,
        0.116506,
        0.115965,
        0.121012,
        0.123163,
        0.118222,
        0.117993,
        0.116501,
        0.116584,
        0.116789,
        0.115923,
        0.117037,
        0.116662,
        0.116738,
        0.117585,
        0.122674,
        0.122859,
        0.119724,
        0.120311,
        0.120404,
        0.122068,
        0.122873,
        0.124751,
        0.12503,
        0.123651,
        0.123843,
        0.124848,
        0.126643,
        0.126954,
        0.126672,
        0.127614,
        0.130673,
        0.132939,
        0.133253,
        0.133781,
        0.134737,
        0.134698,
        0.133568,
        0.132375,
        0.130683,
        0.127935,
        0.130055,
        0.127409,
        0.123113,
        0.123739,
        0.123044,
        0.125453,
        0.126596,
        0.12469,
        0.123132,
        0.119817,
        0.120023,
        0.118763,
        0.117844,
        0.116694,
        0.117299,
        0.117975,
        0.117023,
        0.119377,
        0.118624,
        0.114884,
        0.116095,
        0.115984,
        0.123271,
        0.122724,
        0.113752,
        0.112975,
        0.113065,
        0.112855,
        0.112703,
        0.112962,
        0.114382,
        0.11344,
        0.11281,
        0.113235,
        0.116715,
        0.117346,
        0.116382,
        0.121349,
        0.112772,
        0.112555,
        0.112778,
        0.113568,
        0.115134,
        0.11467,
        0.114082,
        0.114407,
        0.120568,
        0.124109,
        0.117636,
        0.115066,
        0.116372,
        0.11791,
        0.123641,
        0.12511,
        0.124158,
        0.12516,
        0.122925,
        0.120112,
        0.120705,
        0.120793,
        0.122066,
        0.122183,
        0.123144,
        0.125197,
        0.126366,
        0.126575,
        0.126765,
        0.134211,
        0.134498,
        0.129437,
        0.130235,
        0.130221,
        0.138806,
        0.137745,
        0.127368,
        0.128236,
        0.12568,
        0.124423,
        0.123939,
        0.122671,
        0.122661,
        0.122686,
        0.121138,
        0.121874,
        0.12179,
        0.122698,
        0.123133,
        0.123555,
        0.126369,
        0.128673,
        0.130431,
        0.134412,
        0.137975,
        0.141704,
        0.142732,
        0.147016,
        0.141066,
        0.134266,
        0.128939,
        0.126855,
        0.123947,
        0.122189,
        0.120854,
        0.119207,
        0.118137,
        0.1185,
        0.117847,
        0.117564,
        0.117631,
        0.119758,
        0.118415,
        0.11788,
        0.118419,
        0.117061,
        0.115376,
        0.117974,
        0.117564,
        0.117027,
        0.118088,
        0.118705,
        0.118121,
        0.118203,
        0.119571,
        0.120666,
        0.120303,
        0.120155,
        0.120704,
        0.120616,
        0.119719,
        0.1197,
        0.119474,
        0.119265,
        0.120099,
        0.120647,
        0.121237,
        0.120698,
        0.121402,
        0.120633,
        0.119541,
        0.119504,
        0.11969,
        0.119798,
        0.11942,
        0.11816,
        0.117654,
        0.117424,
        0.117457,
        0.117702,
        0.117016,
        0.116303,
        0.115582,
        0.116149,
        0.116384,
        0.116334,
        0.116604,
        0.115331,
        0.114713,
        0.114978,
        0.115175,
        0.115504,
        0.116939,
        0.117081,
        0.115568,
        0.115388,
        0.115928,
        0.11716,
        0.117618,
        0.117418,
        0.119605,
        0.123932,
        0.124695,
        0.122506,
        0.123738,
        0.123918,
        0.122791,
        0.126102,
        0.124709,
        0.11826,
        0.117326,
        0.118326,
        0.117918,
        0.118044,
        0.117232,
        0.116738,
        0.11744,
        0.118387,
        0.118488,
        0.117676,
        0.121406,
        0.122394,
        0.119276,
        0.119474,
        0.119273,
        0.11971,
        0.119098,
        0.12093,
        0.121756,
        0.121166,
        0.122143,
        0.122648,
        0.121994,
        0.123449,
        0.124056,
        0.125324,
        0.126787,
        0.128366,
        0.129361,
        0.129794,
        0.128839,
        0.127779,
        0.126436,
        0.126765,
        0.126293,
        0.124598,
        0.124706,
        0.125447,
        0.128085,
        0.140829,
        0.146651,
        0.140315,
        0.14417,
        0.147609,
        0.147756,
        0.147548,
        0.147268,
        0.143296,
        0.139555,
        0.136231,
        0.13339,
        0.129429,
        0.125212,
        0.123277,
        0.121519,
        0.119786,
        0.11967,
        0.11881,
        0.117728,
        0.117107,
        0.116433,
        0.116245,
        0.116903,
        0.117139,
        0.116717,
        0.117772,
        0.118078,
        0.116917,
        0.117281,
        0.11867,
        0.11906,
        0.12023,
        0.121392,
        0.122015,
        0.119833,
        0.120361,
        0.120429,
        0.121178,
        0.120644,
        0.120898,
        0.121815,
        0.121661,
        0.126188,
        0.126965,
        0.123704,
        0.124093,
        0.123459,
        0.123604,
        0.124598,
        0.137532,
        0.137335,
        0.124172,
        0.123459,
        0.123237,
        0.122541,
        0.122626,
        0.123473,
        0.123795,
        0.125185,
        0.125505,
        0.141394,
        0.139286,
        0.127315,
        0.12745,
        0.129325,
        0.131018,
        0.132953,
        0.138032,
        0.141788,
        0.143696,
        0.141251,
        0.140106,
        0.143089,
        0.139985,
        0.13342,
        0.131224,
        0.127394,
        0.126113,
        0.125675,
        0.125621,
        0.124471,
        0.122877,
        0.129064,
        0.13171,
        0.122535,
        0.123359,
        0.123409,
        0.123774,
        0.124835,
        0.124997,
        0.125518,
        0.12701,
        0.126182,
        0.126568,
        0.127692,
        0.127555,
        0.135258,
        0.136527,
        0.131031,
        0.132748,
        0.131396,
        0.131426,
        0.132488,
        0.131953,
        0.132201,
        0.134041,
        0.134306,
        0.13372,
        0.133386,
        0.134998,
        0.135818,
        0.138205,
        0.13844,
        0.138891,
        0.138766,
        0.139816,
        0.139359,
        0.138918,
        0.138784,
        0.139172,
        0.138503,
        0.138798,
        0.140198,
        0.140841,
        0.140391,
        0.140687,
        0.141429,
        0.144751,
        0.144961,
        0.143318,
        0.144737,
        0.144239,
        0.142625,
        0.14226,
        0.14268,
        0.144979,
        0.148345,
        0.148769,
        0.149284,
        0.150128,
        0.150156,
        0.152628,
        0.15485,
        0.15968,
        0.162477,
        0.15892,
        0.156199,
        0.157388,
        0.161941,
        0.164591,
        0.165622,
        0.168001,
        0.168401,
        0.173746,
        0.178464,
        0.179511,
        0.179211,
        0.194936,
        0.198002,
        0.193133,
        0.206994,
        0.21231,
        0.205623,
        0.213472,
        0.220404,
        0.226422,
        0.230442,
        0.240439,
        0.252196,
        0.262921,
        0.274405,
        0.281815,
        0.29156,
        0.30663,
        0.320582,
        0.339371,
        0.360342,
        0.392257,
        0.430356,
        0.465903,
        0.509618,
        0.616806,
        0.689051,
        1.41215,
        2.32731,
        3.22361,
        1.04668,
        0.657905,
        0.593172,
        0.53002,
        0.479107,
        0.452856,
        0.417802,
        0.340629,
        0.330942,
        0.320467,
        0.301009,
        0.292125,
        0.280872,
        0.272523,
        0.267635,
        0.258516,
        0.2467,
        0.240447,
        0.233061,
        0.230368,
        0.228055,
        0.223394,
        0.219057,
        0.215773,
        0.217278,
        0.210562,
        0.222215,
        0.211855,
        0.202169,
        0.199177,
        0.191044,
        0.188703,
        0.18669,
        0.185013,
        0.183344,
        0.183247,
        0.181793,
        0.180043,
        0.177794,
        0.181141,
        0.176214,
        0.178709,
        0.173787,
        0.172153,
        0.172471,
        0.17283,
        0.174282,
        0.17489,
        0.177531,
        0.179126,
        0.180593,
        0.180356,
        0.176777,
        0.174232,
        0.185149,
        0.180665,
        0.162819,
        0.16216,
        0.160113,
        0.157058,
        0.155053,
        0.153249,
        0.151933,
        0.155648,
        0.157031,
        0.153104,
        0.150636,
        0.150093,
        0.150782,
        0.156862,
        0.156822,
        0.150598,
        0.149059,
        0.148724,
        0.149811,
        0.151499,
        0.154215,
        0.154105,
        0.152208,
        0.153095,
        0.156018,
        0.157316,
        0.159259,
        0.162051,
        0.155281,
        0.155234,
        0.154952,
        0.155311,
        0.156811,
        0.157681,
        0.157499,
        0.162455,
        0.161604,
        0.156409,
        0.157111,
        0.157852,
        0.160241,
        0.158251,
        0.161195,
        0.160343,
        0.158616,
        0.159607,
        0.161449,
        0.160318,
        0.160745,
        0.160062,
        0.159083,
        0.160031,
        0.166811,
        0.175737,
        0.170609,
        0.163205,
        0.163429,
        0.164271,
        0.165151,
        0.167325,
        0.166715,
        0.168501,
        0.166016,
        0.166566,
        0.168634,
        0.170094,
        0.173456,
        0.174162,
        0.177216,
        0.176759,
        0.174734,
        0.177715,
        0.180954,
        0.183575,
        0.187796,
        0.192534,
        0.197642,
        0.201221,
        0.206463,
        0.209603,
        0.214072,
        0.221811,
        0.233141,
        0.246276,
        0.251649,
        0.25687,
        0.263727,
        0.267506,
        0.267171,
        0.263652,
        0.265993,
        0.264046,
        0.262816,
        0.264,
        0.279233,
        0.290322,
        0.280494,
        0.279803,
        0.289135,
        0.295755,
        0.302165,
        0.310065,
        0.328852,
        0.34428,
        0.351031,
        0.367474,
        0.407638,
        0.431884,
        0.42941,
        0.453216,
        0.490668,
        0.51643,
        0.771803,
        0.893848,
        1.0892,
        18.2653,
        1.49306,
        1.27489,
        1.03195,
        0.76333,
        0.672443,
        0.583236,
        0.513915,
        0.484246,
        0.45228,
        0.424009,
        0.397046,
        0.381039,
        0.373682,
        0.360861,
        0.342433,
        0.332496,
        0.315984,
        0.311895,
        0.303283,
        0.293286,
        0.284619,
        0.27821,
        0.273882,
        0.282929,
        0.280158,
        0.265052,
        0.254112,
        0.253659,
        0.281125,
        0.262075,
        0.232115,
        0.228707,
        0.224569,
        0.220882,
        0.221072,
        0.220892,
        0.218521,
        0.214005,
        0.211406,
        0.210524,
        0.211582,
        0.210905,
        0.211087,
        0.211834,
        0.211842,
        0.210052,
        0.206641,
        0.200222,
        0.19422,
        0.191156,
        0.198868,
        0.196422,
        0.184256,
        0.181144,
        0.181131,
        0.180143,
        0.175717,
        0.175705,
        0.171737,
        0.173072,
        0.170812,
        0.175209,
        0.174546,
        0.168436,
        0.168914,
        0.169252,
        0.167524,
        0.166164,
        0.167783,
        0.166336,
        0.168235,
        0.169928,
        0.168881,
        0.169414,
        0.168579,
        0.168269,
        0.169006,
        0.168674,
        0.167945,
        0.167593,
        0.166993,
        0.169054,
        0.168868,
        0.167382,
        0.166997,
        0.166086,
        0.165125,
        0.163774,
        0.16312,
        0.163565,
        0.164025,
        0.163222,
        0.16389,
        0.165174,
        0.165183,
        0.163514,
        0.162614,
        0.16353,
        0.162126,
        0.162956,
        0.163141,
        0.159131,
        0.156883,
        0.154919,
        0.157236,
        0.170342,
        0.170348,
        0.158761,
        0.157414,
        0.16403,
        0.198249,
        0.170487,
        0.153899,
        0.1544,
        0.153579,
        0.154622,
        0.154722,
        0.151493,
        0.15114,
        0.152904,
        0.151188,
        0.149258,
        0.150364,
        0.149532,
        0.148143,
        0.156065,
        0.158788,
        0.152416,
        0.156462,
        0.152636,
        0.148916,
        0.147374,
        0.14844,
        0.147296,
        0.148315,
        0.148826,
        0.150269,
        0.150573,
        0.150075,
        0.15047,
        0.152752,
        0.157181,
        0.156454,
        0.152814,
        0.152032,
        0.152834,
        0.152911,
        0.154047,
        0.161341,
        0.162779,
        0.15534,
        0.155188,
        0.154159,
        0.153999,
        0.154566,
        0.156705,
        0.156871,
        0.154994,
        0.153919,
        0.155257,
        0.155681,
        0.156009,
        0.155917,
        0.15851,
        0.157219,
        0.156827,
        0.157305,
        0.156049,
        0.15701,
        0.157515,
        0.157269,
        0.155802,
        0.157057,
        0.156853,
        0.155709,
        0.154852,
        0.153969,
        0.1531,
        0.153357,
        0.155448,
        0.152541,
        0.156528,
        0.161179,
        0.150908,
        0.150812,
        0.151377,
        0.151586,
        0.151579,
        0.150334,
        0.149846,
        0.150614,
        0.150203,
        0.148893,
        0.149622,
        0.148999,
        0.149273,
        0.148788,
        0.150636,
        0.152704,
        0.15045,
        0.151206,
        0.151138,
        0.150012,
        0.149615,
        0.150217,
        0.151163,
        0.151056,
        0.153293,
        0.153266,
        0.154515,
        0.155039,
        0.155716,
        0.155846,
        0.156155,
        0.158113,
        0.15761,
        0.157188,
        0.156884,
        0.159181,
        0.160608,
        0.161969,
        0.162256,
        0.163232,
        0.164412,
        0.164995,
        0.165898,
        0.165639,
        0.169294,
        0.170401,
        0.173177,
        0.173189,
        0.172129,
        0.177132,
        0.188498,
        0.192535,
        0.187596,
        0.187031,
        0.191741,
        0.195643,
        0.204869,
        0.21979,
        0.234059,
        0.252729,
        0.278995,
        0.310988,
        0.343544,
        0.40017,
        0.419199,
        0.392214,
        0.381411,
        0.361617,
        0.347485,
        0.328464,
        0.296006,
        0.275141,
        0.257112,
        0.241517,
        0.227993,
        0.214445,
        0.19958,
        0.190938,
        0.183967,
        0.178697,
        0.174706,
        0.170358,
        0.167516,
        0.167478,
        0.165836,
        0.164054,
        0.161642,
        0.159602,
        0.1591,
        0.156893,
        0.158454,
        0.158904,
        0.15641,
        0.157041,
        0.157834,
        0.155099,
        0.154826,
        0.155235,
        0.155241,
        0.155685,
        0.155352,
        0.155852,
        0.15667,
        0.154827,
        0.156029,
        0.157835,
        0.157006,
        0.161391,
        0.162167,
        0.15993,
        0.16069,
        0.159542,
        0.159474,
        0.16298,
        0.165217,
        0.169425,
        0.163427,
        0.16017,
        0.160552,
        0.160887,
        0.167146,
        0.178826,
        0.177373,
        0.160651,
        0.158637,
        0.158013,
        0.157202,
        0.156232,
        0.158108,
        0.157455,
        0.15896,
        0.163375,
        0.164712,
        0.158503,
        0.156133,
        0.156447,
        0.155762,
        0.156014,
        0.156506,
        0.155004,
        0.154874,
        0.154522,
        0.154033,
        0.15463,
        0.154139,
        0.154539,
        0.154884,
        0.153259,
        0.154196,
        0.155199,
        0.157755,
        0.157644,
        0.155703,
        0.158993,
        0.159784,
        0.159019,
        0.158097,
        0.15738,
        0.158239,
        0.159329,
        0.173586,
        0.167563,
        0.1602,
        0.159249,
        0.159635,
        0.162564,
        0.167293,
        0.17147,
        0.16583,
        0.161902,
        0.161262,
        0.161923,
        0.162837,
        0.163267,
        0.162698,
        0.1654,
        0.165585,
        0.163151,
        0.167625,
        0.169636,
        0.166441,
        0.166517,
        0.167158,
        0.16664,
        0.164631,
        0.165075,
        0.166368,
        0.168014,
        0.169843,
        0.169119,
        0.168786,
        0.168539,
        0.169317,
        0.16665,
        0.168779,
        0.16936,
        0.16985,
        0.16865,
        0.16795,
        0.167748,
        0.168035,
        0.169131,
        0.166634,
        0.166438,
        0.166627,
        0.166709,
        0.165747,
        0.182994,
        0.190852,
        0.165217,
        0.165199,
        0.163819,
        0.162963,
        0.162543,
        0.163248,
        0.16338,
        0.164462,
        0.165232,
        0.180484,
        0.171029,
        0.16147,
        0.162527,
        0.163963,
        0.163072,
        0.164649,
        0.164946,
        0.164496,
        0.164191,
        0.163621,
        0.16328,
        0.16512,
        0.16623,
        0.167694,
        0.169342,
        0.168769,
        0.166543,
        0.166461,
        0.168461,
        0.169467,
        0.169571,
        0.170552,
        0.169862,
        0.170568,
        0.172071,
        0.173731,
        0.174464,
        0.175419,
        0.176754,
        0.177023,
        0.181568,
        0.182472,
        0.182653,
        0.183853,
        0.184051,
        0.183461,
        0.186727,
        0.187733,
        0.185654,
        0.184525,
        0.185733,
        0.182884,
        0.182614,
        0.18177,
        0.18181,
        0.183109,
        0.184564,
        0.184313,
        0.201655,
        0.196479,
        0.189234,
        0.19175,
        0.19117,
        0.190196,
        0.189489,
        0.186917,
        0.18629,
        0.181148,
        0.180783,
        0.179167,
        0.176918,
        0.174491,
        0.174222,
        0.173932,
        0.173792,
        0.172289,
        0.171868,
        0.171917,
        0.172444,
        0.171431,
        0.170997,
        0.172431,
        0.173826,
        0.172517,
        0.173506,
        0.171884,
        0.170748,
        0.17226,
        0.172752,
        0.173924,
        0.173387,
        0.175857,
        null,
        0.13609,
        0.13666,
        0.137848,
        0.138346,
        0.13851,
        0.137799,
        0.138209,
        0.138805,
        0.139408,
        0.141862,
        0.142145,
        0.142305,
        0.142566,
        0.143802,
        0.151536,
        0.153842,
        0.149121,
        0.151007,
        0.155238,
        0.1597,
        0.162101,
        0.164179,
        0.162209,
        0.159439,
        0.157604,
        0.155308,
        0.154801,
        0.157061,
        0.160074,
        0.164108,
        0.17106,
        0.179519,
        0.186226,
        0.191142,
        0.190363,
        0.18659,
        0.179004,
        0.169952,
        0.163312,
        0.158175,
        0.154518,
        0.153912,
        0.152592,
        0.146878,
        0.145364,
        0.156053,
        0.155818,
        0.145073,
        0.143417,
        0.140466,
        0.140687,
        0.139742,
        0.139798,
        0.139507,
        0.140902,
        0.140625,
        0.139476,
        0.139073,
        0.139119,
        0.13836,
        0.138197,
        0.138401,
        0.139299,
        0.139644,
        0.139661,
        0.139598,
        0.140827,
        0.141036,
        0.141173,
        0.140992,
        0.141207,
        0.141455,
        0.141324,
        0.141247,
        0.142764,
        0.143537,
        0.144359,
        0.145426,
        0.146143,
        0.146767,
        0.146819,
        0.150627,
        0.151824,
        0.14848,
        0.148757,
        0.149719,
        0.150346,
        0.150351,
        0.14994,
        0.149626,
        0.148914,
        0.149579,
        0.149727,
        0.150101,
        0.150485,
        0.151807,
        0.157425,
        0.150398,
        0.150265,
        0.150738,
        0.149667,
        0.149132,
        0.149847,
        0.150154,
        0.1491,
        0.148517,
        0.150004,
        0.149515,
        0.150248,
        0.150392,
        0.149286,
        0.149043,
        0.149664,
        0.148858,
        0.155446,
        0.155709,
        0.150863,
        0.152545,
        0.151758,
        0.150397,
        0.151819,
        0.153116,
        0.154099,
        0.156139,
        0.158379,
        0.160685,
        0.164491,
        0.167871,
        0.169942,
        0.172589,
        0.180542,
        0.187153,
        0.191083,
        0.196879,
        0.207361,
        0.217935,
        0.231922,
        0.247228,
        0.263726,
        0.274681,
        0.275798,
        0.273974,
        0.26849,
        0.255861,
        0.241808,
        0.230431,
        0.221741,
        0.21143,
        0.203704,
        0.198713,
        0.193827,
        0.191097,
        0.188101,
        0.186534,
        0.182687,
        0.180996,
        0.179463,
        0.178938,
        0.17738,
        0.177287,
        0.177232,
        0.175655,
        0.176016,
        0.1754,
        0.174884,
        0.17447,
        0.174723,
        0.174347,
        0.1763,
        0.176698,
        0.176869,
        0.176999,
        0.177116,
        0.17741,
        0.185411,
        0.193238,
        0.186544,
        0.180628,
        0.183105,
        0.19383,
        0.190448,
        0.185902,
        0.20082,
        0.203299,
        0.194119,
        0.198129,
        0.200447,
        0.21027,
        0.213359,
        0.214728,
        0.212811,
        0.212612,
        0.216352,
        0.215164,
        0.219027,
        0.22007,
        0.225779,
        0.232871,
        0.237196,
        0.240402,
        0.246548,
        0.254961,
        0.257727,
        0.259248,
        0.264011,
        0.268691,
        0.275195,
        0.280036,
        0.285221,
        0.293574,
        0.303307,
        0.312207,
        0.330252,
        0.341133,
        0.377204,
        0.376876,
        0.389377,
        0.405185,
        0.428729,
        0.51275,
        0.54806,
        0.565616,
        0.598258,
        0.649094,
        0.707701,
        0.804841,
        0.855861,
        0.984804,
        1.06455,
        5.37217,
        57.7127,
        1.16625,
        0.8292,
        0.772886,
        0.603298,
        0.56985,
        0.52033,
        0.446818,
        0.428666,
        0.410355,
        0.395901,
        0.379825,
        0.366197,
        0.348503,
        0.331945,
        0.325273,
        0.320378,
        0.308692,
        0.296983,
        0.292091,
        0.281408,
        0.274104,
        0.2692,
        0.264929,
        0.265689,
        0.269473,
        0.257738,
        0.240717,
        0.23452,
        0.229987,
        0.227644,
        0.227351,
        0.223886,
        0.218688,
        0.218368,
        0.217479,
        0.214938,
        0.20973,
        0.207077,
        0.206534,
        0.207756,
        0.203575,
        0.198741,
        0.19923,
        0.198962,
        0.196256,
        0.201004,
        0.20002,
        0.191379,
        0.19036,
        0.18758,
        0.185165,
        0.181637,
        0.180261,
        0.179001,
        0.178195,
        0.181261,
        0.184676,
        0.175638,
        0.169865,
        0.170249,
        0.16991,
        0.166884,
        0.164607,
        0.163207,
        0.161087,
        0.15972,
        0.158908,
        0.158535,
        0.156283,
        0.155401,
        0.153849,
        0.152566,
        0.152318,
        0.151645,
        0.150386,
        0.149359,
        0.158062,
        0.156491,
        0.148464,
        0.148116,
        0.146336,
        0.145477,
        0.145552,
        0.145918,
        0.145983,
        0.144226,
        0.143278,
        0.144457,
        0.143491,
        0.1434,
        0.143112,
        0.148898,
        0.150976,
        0.145464,
        0.145042,
        0.14544,
        0.144749,
        0.145292,
        0.14527,
        0.146123,
        0.144347,
        0.147073,
        0.146354,
        0.143843,
        0.143485,
        0.144504,
        0.145038,
        0.14484,
        0.146332,
        0.146328,
        0.147537,
        0.146325,
        0.143958,
        0.143401,
        0.142812,
        0.142512,
        0.141742,
        0.14191,
        0.151508,
        0.150047,
        0.138454,
        0.137234,
        0.137459,
        0.137692,
        0.136858,
        0.135838,
        0.135871,
        0.135885,
        0.134626,
        0.132895,
        0.132687,
        0.132486,
        0.133464,
        0.133711,
        0.136123,
        0.137043,
        0.134002,
        0.134883,
        0.1339,
        0.132604,
        0.131961,
        0.132135,
        0.132538,
        0.137081,
        0.134928,
        0.130794,
        0.130387,
        0.129085,
        0.129509,
        0.130902,
        0.131956,
        0.132053,
        0.132191,
        0.132266,
        0.132358,
        0.133433,
        0.132971,
        0.132846,
        0.132815,
        0.13297,
        0.137406,
        0.138354,
        0.134538,
        0.137857,
        0.137969,
        0.134649,
        0.134157,
        0.135644,
        0.135803,
        0.134603,
        0.133798,
        0.133625,
        0.133952,
        0.133636,
        0.134508,
        0.133843,
        0.133537,
        0.133222,
        0.132794,
        0.134156,
        0.132823,
        0.131043,
        0.131591,
        0.130895,
        0.131519,
        0.130804,
        0.129889,
        0.129849,
        0.128195,
        0.127444,
        0.126392,
        0.125122,
        0.125962,
        0.126802,
        0.126044,
        0.125232,
        0.125637,
        0.125828,
        0.12502,
        0.125297,
        0.124786,
        0.124446,
        0.124251,
        0.125233,
        0.125289,
        0.124188,
        0.125065,
        0.125619,
        0.127001,
        0.12777,
        0.127794,
        0.128855,
        0.129827,
        0.13129,
        0.133164,
        0.133248,
        0.133241,
        0.131715,
        0.130158,
        0.128661,
        0.128873,
        0.131647,
        0.13158,
        0.128786,
        0.127811,
        0.128902,
        0.132483,
        0.131647,
        0.128663,
        0.129731,
        0.131256,
        0.132135,
        0.128884,
        0.129459,
        0.129836,
        0.13022,
        0.130329,
        0.128393,
        0.129247,
        0.130562,
        0.130523,
        0.129955,
        0.130414,
        0.130484,
        0.130731,
        0.130351,
        0.130806,
        0.13251,
        0.134424,
        0.133698,
        0.133225,
        0.133479,
        0.132396,
        0.131556,
        0.131301,
        0.129138,
        0.126153,
        0.12574,
        0.126218,
        0.124496,
        0.124049,
        0.123744,
        0.125433,
        0.124627,
        0.125365,
        0.123714,
        0.122351,
        0.122286,
        0.122899,
        0.123616,
        0.123986,
        0.123332,
        0.123345,
        0.124376,
        0.124682,
        0.126034,
        0.126019,
        0.128271,
        0.128346,
        0.126871,
        0.126641,
        0.128441,
        0.13072,
        0.130919,
        0.133704,
        0.139074,
        0.135649,
        0.131142,
        0.132065,
        0.131546,
        0.132971,
        0.132712,
        0.133596,
        0.134532,
        0.135287,
        0.137102,
        0.137208,
        0.136207,
        0.136155,
        0.135337,
        0.134536,
        0.13446,
        0.134684,
        0.133256,
        0.133778,
        0.135908,
        0.143402,
        0.141239,
        0.134391,
        0.134337,
        0.13401,
        0.134713,
        0.135388,
        0.13448,
        0.134868,
        0.135786,
        0.13611,
        0.134503,
        0.134705,
        0.134578,
        0.135321,
        0.134222,
        0.132622,
        0.131818,
        0.13079,
        0.131391,
        0.131205,
        0.130676,
        0.131127,
        0.130264,
        0.130402,
        0.130539,
        0.129985,
        0.13052,
        0.131347,
        0.130738,
        0.131624,
        0.132146,
        0.132725,
        0.132282,
        0.132986,
        0.132364,
        0.132748,
        0.133686,
        0.134154,
        0.134275,
        0.13403,
        0.134694,
        0.136194,
        0.136502,
        0.137851,
        0.138315,
        0.138225,
        0.1393,
        0.139666,
        0.141726,
        0.151496,
        0.148832,
        0.141907,
        0.142217,
        0.142919,
        0.143933,
        0.145154,
        0.14689,
        0.146288,
        0.146704,
        0.145078,
        0.145664,
        0.144103,
        0.140646,
        0.139988,
        0.145998,
        0.145311,
        0.139975,
        0.137738,
        0.136606,
        0.136309,
        0.136972,
        0.13692,
        0.136536,
        0.134914,
        0.134486,
        0.134852,
        0.139093,
        0.139459,
        0.136802,
        0.136022,
        0.135508,
        0.137285,
        0.135165,
        0.13602,
        0.144262,
        0.144502,
        0.136207,
        0.137402,
        0.138553,
        0.139386,
        0.138801,
        0.13958,
        0.140479,
        0.14242,
        0.143719,
        0.14352,
        0.143632,
        0.142594,
        0.141934,
        0.141707,
        0.141772,
        0.142109,
        0.14248,
        0.141877,
        0.145869,
        0.148596,
        0.15188,
        0.147273,
        0.141471,
        0.145301,
        0.145665,
        0.142534,
        0.14365,
        0.143752,
        0.143351,
        0.143638,
        0.145671,
        0.149215,
        0.151384,
        0.151213,
        0.151164,
        0.147756,
        0.146774,
        0.146619,
        0.146693,
        0.146841,
        0.146499,
        0.146193,
        0.145047,
        0.144778,
        0.145602,
        0.144773,
        0.144547,
        0.145429,
        0.144496,
        0.144164,
        0.145946,
        0.146731,
        0.147102,
        0.149015,
        0.150637,
        0.151448,
        0.150631,
        0.149126,
        0.149133,
        0.151444,
        0.148954,
        0.145838,
        0.146346,
        0.147297,
        0.146119,
        0.145274,
        0.146107,
        0.146262,
        0.144995,
        0.147885,
        0.150449,
        0.152589,
        0.152964,
        0.149739,
        0.15102,
        0.152108,
        0.150775,
        0.151338,
        0.152407,
        0.151522,
        0.152788,
        0.155964,
        0.156549,
        0.157002,
        0.157365,
        0.158762,
        0.159901,
        0.159865,
        0.161204,
        0.162607,
        0.163215,
        0.164227,
        0.166622,
        0.165658,
        0.164693,
        0.165328,
        0.167269,
        0.164385,
        0.163719,
        0.165009,
        0.165593,
        0.165445,
        0.164843,
        0.166394,
        0.166671,
        0.166882,
        0.167298,
        0.167924,
        0.169,
        0.166684,
        0.168649,
        0.170502,
        0.169814,
        0.171519,
        0.173104,
        0.171377,
        0.169551,
        0.169063,
        0.169619,
        0.168589,
        0.167912,
        0.170979,
        0.171915,
        0.172468,
        0.171732,
        0.17145,
        0.173914,
        0.174129,
        0.173054,
        0.173551,
        0.173804,
        0.177757,
        0.177166,
        0.175438,
        0.177962,
        0.179217,
        0.179945,
        0.181554,
        0.184914,
        0.184241,
        0.183957,
        0.193413,
        0.195458,
        0.188268,
        0.192794,
        0.195205,
        0.195883,
        0.197845,
        0.199826,
        0.200009,
        0.198864,
        0.200495,
        0.205981,
        0.209338,
        0.205307,
        0.207624,
        0.207879,
        0.213007,
        0.224131,
        0.218678,
        0.215751,
        0.217895,
        0.219854,
        0.221481,
        0.232053,
        0.232313,
        0.221419,
        0.221153,
        0.221689,
        0.223063,
        0.224026,
        0.225973,
        0.224741,
        0.225436,
        0.227996,
        0.232419,
        0.23338,
        0.233399,
        0.236974,
        0.237328,
        0.238322,
        0.242099,
        0.254858,
        0.257805,
        0.251071,
        0.250774,
        0.250923,
        0.259407,
        0.262856,
        0.259208,
        0.263442,
        0.268329,
        0.270007,
        0.274206,
        0.277467,
        0.28265,
        0.284678,
        0.291871,
        0.300804,
        0.311971,
        0.317586,
        0.318694,
        0.320571,
        0.331803,
        0.342633,
        0.345726,
        0.353332,
        0.359522,
        0.373478,
        0.388332,
        0.400438,
        0.415559,
        0.424567,
        0.482172,
        0.482308,
        0.618008,
        0.648872,
        0.694109,
        0.900551,
        1.55929,
        5.10159,
        2.12527,
        1.47481,
        1.3458,
        1.22064,
        1.18281,
        1.22216,
        1.65338,
        1.71973,
        4.88839,
        null,
        1.66216,
        1.1435,
        0.920602,
        0.904589,
        0.950833,
        0.792958,
        0.778651,
        0.747087,
        0.664569,
        0.637999,
        0.639652,
        0.596322,
        0.589829,
        0.550132,
        0.515479,
        0.500371,
        0.483143,
        0.472351,
        0.473724,
        0.483813,
        0.465598,
        0.453153,
        0.44484,
        0.445514,
        0.436872,
        0.427361,
        0.432023,
        0.421571,
        0.406772,
        0.401616,
        0.395336,
        0.393127,
        0.392837,
        0.38755,
        0.388563,
        0.39542,
        0.380265,
        0.370705,
        0.376491,
        0.376287,
        0.360806,
        0.35806,
        0.360132,
        0.35911,
        0.3524,
        0.353804,
        0.347531,
        0.346344,
        0.346399,
        0.345004,
        0.338954,
        0.338599,
        0.336141,
        0.332778,
        0.334094,
        0.328826,
        0.326723,
        0.323537,
        0.316617,
        0.317487,
        0.318108,
        0.319159,
        0.308966,
        0.300369,
        0.293477,
        0.290059,
        0.289946,
        0.290792,
        0.284701,
        0.306298,
        0.307954,
        0.290184,
        0.284458,
        0.279016,
        0.284282,
        0.281816,
        0.279809,
        0.269885,
        0.267667,
        0.267287,
        0.267567,
        0.267175,
        0.263421,
        0.262717,
        0.260327,
        0.257121,
        0.262854,
        0.262655,
        0.256195,
        0.253963,
        0.253788,
        0.255931,
        0.253889,
        0.254327,
        0.258262,
        0.270267,
        0.266188,
        0.257461,
        0.25728,
        0.258143,
        0.25612,
        0.256761,
        0.256905,
        0.254115,
        0.248766,
        0.259711,
        0.263345,
        0.25568,
        0.255684,
        0.264598,
        0.265211,
        0.253023,
        0.251345,
        0.250135,
        0.253084,
        0.254646,
        0.243387,
        0.244889,
        0.249496,
        0.251971,
        0.248473,
        0.250231,
        0.253529,
        0.249168,
        0.246379,
        0.245971,
        0.244136,
        0.240929,
        0.239747,
        0.239821,
        0.252239,
        0.252498,
        0.243051,
        0.247249,
        0.242938,
        0.242172,
        0.235098,
        0.234732,
        0.235462,
        0.234189,
        0.233135,
        0.23199,
        0.230263,
        0.233135,
        0.235012,
        0.235453,
        0.23779,
        0.238958,
        0.236385,
        0.236339,
        0.237657,
        0.238612,
        0.241253,
        0.242953,
        0.24672,
        0.247297,
        0.253129,
        0.250412,
        0.241784,
        0.244098,
        0.245168,
        0.242465,
        0.238767,
        0.238183,
        0.239032,
        0.238867,
        0.238356,
        0.240844,
        0.238712,
        0.244456,
        0.245854,
        0.240667,
        0.241524,
        0.240409,
        0.241411,
        0.239566,
        0.237798,
        0.242415,
        0.243218,
        0.242742,
        0.240207,
        0.240999,
        0.243424,
        0.240333,
        0.239115,
        0.239916,
        0.243025,
        0.242337,
        0.242425,
        0.240836,
        0.239246,
        0.241586,
        0.240664,
        0.242867,
        0.269736,
        0.265268,
        0.24197,
        0.242321,
        0.243655,
        0.253144,
        0.251207,
        0.240573,
        0.239995,
        0.241857,
        0.245001,
        0.244387,
        0.243193,
        0.243438,
        0.244487,
        0.241724,
        0.240962,
        0.240144,
        0.245017,
        0.245893,
        0.249845,
        0.246863,
        0.246364,
        0.247365,
        0.250216,
        0.248682,
        0.257745,
        0.261896,
        0.259634,
        0.258494,
        0.259989,
        0.264954,
        0.266793,
        0.264578,
        0.265427,
        0.265971,
        0.269549,
        0.281209,
        0.279344,
        0.274394,
        0.279243,
        0.284133,
        0.29087,
        0.290529,
        0.293508,
        0.296587,
        0.294731,
        0.296177,
        0.302177,
        0.310125,
        0.311677,
        0.313654,
        0.323608,
        0.322135,
        0.318266,
        0.32838,
        0.32594,
        0.332641,
        0.336973,
        0.339905,
        0.340543,
        0.343809,
        0.346991,
        0.349835,
        0.355937,
        0.352179,
        0.354217,
        0.362323,
        0.367304,
        0.370691,
        0.374762,
        0.382729,
        0.395492,
        0.397824,
        0.40439,
        0.406823,
        0.425769,
        0.428246,
        0.425135,
        0.438351,
        0.456032,
        0.463388,
        0.474201,
        0.487406,
        0.496095,
        0.511079,
        0.52328,
        0.52472,
        0.544458,
        0.567271,
        0.59453,
        0.67539,
        0.712441,
        0.741543,
        0.778027,
        0.798986,
        0.830912,
        0.836923,
        1.00284,
        1.03134,
        1.4704,
        1.924,
        2.24218,
        2.48493,
        2.51825,
        3.34243,
        4.28508,
        6.34588,
        7.79664,
        4.79448,
        1.47237,
        1.17396,
        1.09346,
        1.05153,
        0.65174,
        0.651273,
        0.684117,
        0.657885,
        0.588168,
        0.57206,
        0.556591,
        0.536769,
        0.527461,
        0.527826,
        0.522079,
        0.499001,
        0.48956,
        0.481167,
        0.469363,
        0.466093,
        0.449606,
        0.439088,
        0.437587,
        0.437255,
        0.430768,
        0.416787,
        0.401725,
        0.409734,
        0.406235,
        0.386885,
        0.397275,
        0.398374,
        0.377398,
        0.376746,
        0.369638,
        0.374366,
        0.368378,
        0.367373,
        0.37717,
        0.359648,
        0.353903,
        0.348177,
        0.350536,
        0.347352,
        0.347849,
        0.346762,
        0.339874,
        0.334425,
        0.336597,
        0.342614,
        0.337024,
        0.337602,
        0.341572,
        0.3388,
        0.35675,
        0.363614,
        0.351914,
        0.352831,
        0.353001,
        0.37051,
        0.400318,
        0.39034,
        0.385291,
        0.393968,
        0.421654,
        0.436336,
        0.442872,
        0.470007,
        0.501216,
        0.548764,
        0.60955,
        0.64194,
        0.620396,
        0.633089,
        0.524457,
        0.485163,
        0.451644,
        0.42447,
        0.399991,
        0.388245,
        0.356797,
        0.341586,
        0.326872,
        0.317447,
        0.315112,
        0.314031,
        0.298514,
        0.295905,
        0.296149,
        0.295864,
        0.305754,
        0.302678,
        0.295385,
        0.304769,
        0.307602,
        0.311622,
        0.305031,
        0.289092,
        0.279991,
        0.270446,
        0.267899,
        0.27318,
        0.272828,
        0.257714,
        0.256097,
        0.252044,
        0.248722,
        0.248045,
        0.246748,
        0.246898,
        0.246802,
        0.246641,
        0.247308,
        0.24448,
        0.238993,
        0.242776,
        0.241219,
        0.233427,
        0.232496,
        0.231174,
        0.229773,
        0.229605,
        0.226576,
        0.227501,
        0.230799,
        0.229235,
        0.226377,
        0.227518,
        0.231237,
        0.223282,
        0.222863,
        0.232644,
        0.229182,
        0.215987,
        0.212908,
        0.213283,
        0.212437,
        0.211375,
        0.212339,
        0.210779,
        0.206429,
        0.20606,
        0.206317,
        0.22286,
        0.214724,
        0.205634,
        0.207387,
        0.20592,
        0.205344,
        0.204002,
        0.226724,
        0.229633,
        0.207425,
        0.211337,
        0.223246,
        0.220267,
        0.219821,
        0.224426,
        0.228854,
        0.233847,
        0.224713,
        0.21854,
        0.216381,
        0.218572,
        0.219431,
        0.211452,
        0.209419,
        0.206686,
        0.20665,
        0.20757,
        0.205213,
        0.206704,
        0.20972,
        0.224164,
        0.223256,
        0.208246,
        0.208298,
        0.208671,
        0.210741,
        0.208489,
        0.208509,
        0.210598,
        0.213764,
        0.212265,
        0.209946,
        0.225269,
        0.230415,
        0.212261,
        0.208666,
        0.22444,
        0.223233,
        0.200867,
        0.199673,
        0.2001,
        0.201578,
        0.198273,
        0.19717,
        0.19522,
        0.195178,
        0.193139,
        0.190327,
        0.189411,
        0.190043,
        0.191363,
        0.193186,
        0.19165,
        0.190049,
        0.18783,
        0.186759,
        0.187497,
        0.187309,
        0.185803,
        0.184873,
        0.187104,
        0.187616,
        0.188591,
        0.189645,
        0.18773,
        0.188353,
        0.189522,
        0.189797,
        0.190508,
        0.190694,
        0.190712,
        0.190222,
        0.192011,
        0.193629,
        0.1944,
        0.196486,
        0.195445,
        0.199174,
        0.200319,
        0.201879,
        0.202107,
        0.20466,
        0.207476,
        0.21059,
        0.21235,
        0.221503,
        0.232974,
        0.244708,
        0.263872,
        0.284284,
        0.305079,
        0.318947,
        0.325974,
        0.319128,
        0.306382,
        0.282906,
        0.291744,
        0.285694,
        0.236977,
        0.226918,
        0.216468,
        0.211097,
        0.207417,
        0.206619,
        0.202451,
        0.199786,
        0.20005,
        0.20256,
        0.200466,
        0.193895,
        0.194107,
        0.194256,
        0.191344,
        0.19151,
        0.189655,
        0.190187,
        0.189374,
        0.189875,
        0.194037,
        0.194492,
        0.187999,
        0.183802,
        0.184399,
        0.184023,
        0.184332,
        0.194957,
        0.193098,
        0.18574,
        0.187491,
        0.185166,
        0.183818,
        0.181282,
        0.18085,
        0.185364,
        0.186002,
        0.185008,
        0.184824,
        0.18241,
        0.18357,
        0.182085,
        0.183971,
        0.185667,
        0.190219,
        0.191476,
        0.197196,
        0.199375,
        0.186567,
        0.187715,
        0.189209,
        0.188911,
        0.189835,
        0.190174,
        0.189279,
        0.191335,
        0.192628,
        0.192641,
        0.190909,
        0.196386,
        0.201394,
        0.192694,
        0.190751,
        0.190647,
        0.192436,
        0.195494,
        0.210714,
        0.20222,
        0.19254,
        0.19498,
        0.195631,
        0.192566,
        0.191525,
        0.190322,
        0.191178,
        0.191673,
        0.191476,
        0.191579,
        0.190873,
        0.191968,
        0.193909,
        0.200576,
        0.196829,
        0.187636,
        0.188597,
        0.190963,
        0.189098,
        0.188673,
        0.18869,
        0.187981,
        0.188865,
        0.189509,
        0.188047,
        0.18848,
        0.187506,
        0.184051,
        0.184645,
        0.184547,
        0.185419,
        0.183299,
        0.181299,
        0.184983,
        0.185116,
        0.192319,
        0.196225,
        0.185933,
        0.185398,
        0.184691,
        0.183369,
        0.18425,
        0.183326,
        0.184972,
        0.187382,
        0.188112,
        0.187843,
        0.188763,
        0.187722,
        0.192764,
        0.191988,
        0.188603,
        0.190606,
        0.191441,
        0.193687,
        0.19128,
        0.192493,
        0.194674,
        0.197792,
        0.197628,
        0.197814,
        0.196983,
        0.199496,
        0.198918,
        0.196359,
        0.198213,
        0.195829,
        0.19554,
        0.196345,
        0.196498,
        0.218858,
        0.216227,
        0.218398,
        0.200524,
        0.199213,
        0.199958,
        0.199191,
        0.199365,
        0.198752,
        0.202457,
        0.202659,
        0.199976,
        0.201388,
        0.202792,
        0.20206,
        0.200032,
        0.200905,
        0.200513,
        0.199359,
        0.201692,
        0.199954,
        0.201086,
        0.202405,
        0.203458,
        0.214396,
        0.207465,
        0.203491,
        0.204516,
        0.203028,
        0.205424,
        0.205786,
        0.207065,
        0.208452,
        0.20993,
        0.211616,
        0.215259,
        0.219083,
        0.224007,
        null,
        0.147798,
        0.146581,
        0.153255,
        0.154715,
        0.147817,
        0.146137,
        0.146265,
        0.147006,
        0.147688,
        0.146798,
        0.147244,
        0.148844,
        0.14884,
        0.150477,
        0.15102,
        0.15084,
        0.150364,
        0.151231,
        0.150794,
        0.150691,
        0.152803,
        0.153173,
        0.15343,
        0.154284,
        0.154291,
        0.155993,
        0.156692,
        0.15671,
        0.156741,
        0.155425,
        0.152622,
        0.150086,
        0.149468,
        0.147836,
        0.146176,
        0.157815,
        0.157989,
        0.144669,
        0.144342,
        0.143519,
        0.144006,
        0.149984,
        0.151656,
        0.145794,
        0.146855,
        0.147562,
        0.156232,
        0.154801,
        0.151657,
        0.153837,
        0.15683,
        0.163739,
        0.171051,
        0.18362,
        0.196774,
        0.212999,
        0.224967,
        0.230112,
        0.22389,
        0.214211,
        0.203579,
        0.190126,
        0.17878,
        0.168357,
        0.16496,
        0.162026,
        0.157809,
        0.154971,
        0.154056,
        0.153085,
        0.151736,
        0.150743,
        0.150506,
        0.150596,
        0.150836,
        0.149756,
        0.148002,
        0.153236,
        0.152729,
        0.150086,
        0.149349,
        0.148134,
        0.148399,
        0.148614,
        0.149677,
        0.149187,
        0.147468,
        0.148291,
        0.148132,
        0.148698,
        0.149123,
        0.150099,
        0.151932,
        0.150528,
        0.148114,
        0.150463,
        0.149732,
        0.148056,
        0.147958,
        0.148213,
        0.147559,
        0.146403,
        0.147783,
        0.148828,
        0.148702,
        0.150658,
        0.152315,
        0.156482,
        0.158953,
        0.161145,
        0.167299,
        0.204536,
        0.206415,
        0.1916,
        0.20535,
        0.223598,
        0.250116,
        0.284381,
        0.34019,
        0.431097,
        0.557666,
        0.718943,
        0.856295,
        0.862143,
        0.750278,
        0.580173,
        0.4584,
        0.371368,
        0.31425,
        0.272893,
        0.242904,
        0.222912,
        0.207855,
        0.193514,
        0.184374,
        0.177911,
        0.173212,
        0.170251,
        0.165648,
        0.160075,
        0.157414,
        0.154834,
        0.15257,
        0.159305,
        0.153846,
        0.145739,
        0.145837,
        0.145409,
        0.143935,
        0.141902,
        0.140547,
        0.140853,
        0.139366,
        0.137308,
        0.137666,
        0.137927,
        0.136862,
        0.136018,
        0.135413,
        0.133546,
        0.132991,
        0.133275,
        0.132314,
        0.131634,
        0.131606,
        0.132132,
        0.13099,
        0.145793,
        0.14411,
        0.131358,
        0.145091,
        0.143555,
        0.130542,
        0.131632,
        0.131228,
        0.13079,
        0.131017,
        0.135413,
        0.136483,
        0.133332,
        0.133718,
        0.135449,
        0.135689,
        0.13445,
        0.134845,
        0.135733,
        0.135173,
        0.134712,
        0.135133,
        0.136606,
        0.138328,
        0.138068,
        0.137585,
        0.142226,
        0.143332,
        0.14348,
        0.141326,
        0.137929,
        0.138396,
        0.138285,
        0.13811,
        0.139107,
        0.138465,
        0.138559,
        0.137408,
        0.135905,
        0.134832,
        0.134024,
        0.133178,
        0.134124,
        0.134104,
        0.132826,
        0.130971,
        0.131081,
        0.130393,
        0.129923,
        0.129644,
        0.12977,
        0.129747,
        0.12917,
        0.128776,
        0.128661,
        0.12831,
        0.126753,
        0.126416,
        0.125798,
        0.125714,
        0.126429,
        0.126551,
        0.1272,
        0.127348,
        0.128969,
        0.128696,
        0.138317,
        0.137872,
        0.12703,
        0.126988,
        0.127602,
        0.126822,
        0.127538,
        0.127754,
        0.127528,
        0.127857,
        0.128202,
        0.128357,
        0.128844,
        0.129183,
        0.128564,
        0.128901,
        0.130074,
        0.129925,
        0.130766,
        0.130698,
        0.131707,
        0.130735,
        0.131158,
        0.132547,
        0.132089,
        0.13444,
        0.132763,
        0.132342,
        0.131949,
        0.132006,
        0.134848,
        0.132545,
        0.130939,
        0.129971,
        0.128903,
        0.13051,
        0.129817,
        0.128413,
        0.128909,
        0.130418,
        0.128343,
        0.128062,
        0.127191,
        0.127047,
        0.126772,
        0.128195,
        0.128037,
        0.125652,
        0.124922,
        0.125182,
        0.125953,
        0.124914,
        0.123448,
        0.124469,
        0.124918,
        0.123393,
        0.12401,
        0.130839,
        0.130422,
        0.123527,
        0.122658,
        0.123694,
        0.123787,
        0.131025,
        0.13135,
        0.124796,
        0.125653,
        0.125942,
        0.125954,
        0.125875,
        0.126134,
        0.126633,
        0.126888,
        0.128162,
        0.129502,
        0.129052,
        0.130179,
        0.132137,
        0.132602,
        0.134457,
        0.136191,
        0.135402,
        0.135103,
        0.135537,
        0.135487,
        0.13486,
        0.133936,
        0.133777,
        0.133335,
        0.133522,
        0.131265,
        0.131473,
        0.130266,
        0.129798,
        0.129225,
        0.128767,
        0.128967,
        0.129146,
        0.127966,
        0.128033,
        0.126532,
        0.125107,
        0.125726,
        0.124945,
        0.124982,
        0.127642,
        0.126947,
        0.123527,
        0.123585,
        0.12282,
        0.123056,
        0.12264,
        0.122217,
        0.122656,
        0.122795,
        0.121963,
        0.120998,
        0.120691,
        0.120618,
        0.121013,
        0.119776,
        0.120115,
        0.120688,
        0.120949,
        0.120463,
        0.120007,
        0.120609,
        0.121052,
        0.121464,
        0.121552,
        0.121486,
        0.12271,
        0.122521,
        0.122473,
        0.122279,
        0.131191,
        0.132308,
        0.124643,
        0.130257,
        0.128243,
        0.125097,
        0.132896,
        0.13293,
        0.127321,
        0.128098,
        0.126401,
        0.126727,
        0.126681,
        0.127059,
        0.126588,
        0.12733,
        0.126479,
        0.126391,
        0.127221,
        0.127897,
        0.127907,
        0.129561,
        0.135365,
        0.138735,
        0.136112,
        0.130079,
        0.128366,
        0.127548,
        0.126399,
        0.127002,
        0.125552,
        0.125635,
        0.125481,
        0.126133,
        0.122904,
        0.121666,
        0.12158,
        0.12101,
        0.120406,
        0.119819,
        0.120418,
        0.119515,
        0.119501,
        0.119636,
        0.118831,
        0.123794,
        0.120969,
        0.118797,
        0.118872,
        0.119501,
        0.119867,
        0.124989,
        0.124777,
        0.119244,
        0.120611,
        0.120834,
        0.120138,
        0.121705,
        0.121997,
        0.122079,
        0.122267,
        0.122633,
        0.12311,
        0.123733,
        0.12373,
        0.124454,
        0.126315,
        0.126818,
        0.124961,
        0.125939,
        0.126776,
        0.12744,
        0.127459,
        0.127934,
        0.128219,
        0.127988,
        0.126887,
        0.126919,
        0.126737,
        0.126887,
        0.126697,
        0.125294,
        0.127197,
        0.129523,
        0.129461,
        0.126398,
        0.126526,
        0.126111,
        0.127493,
        0.125934,
        0.125713,
        0.126604,
        0.126594,
        0.126211,
        0.126121,
        0.126798,
        0.125801,
        0.126803,
        0.127096,
        0.125875,
        0.127031,
        0.127444,
        0.129379,
        0.13104,
        0.132781,
        0.132919,
        0.13645,
        0.139483,
        0.142694,
        0.147055,
        0.153334,
        0.162292,
        0.17332,
        0.182539,
        0.190148,
        0.201176,
        0.20768,
        0.208847,
        0.207879,
        0.202264,
        0.19269,
        0.182915,
        0.175053,
        0.166706,
        0.159129,
        0.153893,
        0.149602,
        0.145581,
        0.143269,
        0.146043,
        0.143336,
        0.137809,
        0.134765,
        0.132532,
        0.130958,
        0.130459,
        0.135404,
        0.135838,
        0.130304,
        0.128765,
        0.128483,
        0.129196,
        0.12884,
        0.129369,
        0.131153,
        0.130265,
        0.12894,
        0.128555,
        0.125653,
        0.124464,
        0.12435,
        0.127585,
        0.128345,
        0.124084,
        0.124869,
        0.123668,
        0.123075,
        0.122706,
        0.122031,
        0.122593,
        0.122808,
        0.121473,
        0.120939,
        0.120898,
        0.121256,
        0.122228,
        0.122575,
        0.120576,
        0.121996,
        0.122906,
        0.121132,
        0.120497,
        0.122814,
        0.122953,
        0.120719,
        0.121287,
        0.121257,
        0.120753,
        0.12159,
        0.128592,
        0.1274,
        0.121994,
        0.124258,
        0.124223,
        0.124006,
        0.124515,
        0.123987,
        0.12548,
        0.126794,
        0.128103,
        0.128194,
        0.127731,
        0.129792,
        0.129285,
        0.131592,
        0.131588,
        0.130657,
        0.13256,
        0.135032,
        0.135687,
        0.136099,
        0.136738,
        0.137468,
        0.137946,
        0.138998,
        0.138642,
        0.13926,
        0.140194,
        0.140895,
        0.141004,
        0.139127,
        0.140196,
        0.140531,
        0.140762,
        0.141628,
        0.141285,
        0.141481,
        0.143965,
        0.14418,
        0.143939,
        0.145252,
        0.143449,
        0.143776,
        0.14537,
        0.145029,
        0.142121,
        0.142825,
        0.14952,
        0.151129,
        0.145452,
        0.143908,
        0.146569,
        0.148359,
        0.156732,
        0.158285,
        0.14915,
        0.150784,
        0.15457,
        0.154425,
        0.153487,
        0.155937,
        0.158958,
        0.159776,
        0.161129,
        0.164339,
        0.165286,
        0.168214,
        0.171697,
        0.17431,
        0.177846,
        0.182865,
        0.186315,
        0.191441,
        0.195896,
        0.201107,
        0.205564,
        0.210343,
        0.214718,
        0.220109,
        0.22984,
        0.237831,
        0.247923,
        0.260396,
        0.272628,
        0.287278,
        0.305265,
        0.321824,
        0.38242,
        0.406099,
        0.441023,
        0.488214,
        0.531286,
        0.706887,
        0.816823,
        0.977823,
        1.9091,
        11.5814,
        1.58993,
        0.725366,
        0.620823,
        0.531491,
        0.474651,
        0.455225,
        0.447804,
        0.407763,
        0.347648,
        0.320242,
        0.288619,
        0.271317,
        0.257695,
        0.249125,
        0.242371,
        0.241264,
        0.232746,
        0.220008,
        0.212775,
        0.20726,
        0.201248,
        0.195703,
        0.19094,
        0.190588,
        0.186356,
        0.184078,
        0.182127,
        0.179782,
        0.176277,
        0.172848,
        0.17143,
        0.169674,
        0.167294,
        0.168454,
        0.168194,
        0.165813,
        0.164205,
        0.163404,
        0.162906,
        0.167891,
        0.178995,
        0.167706,
        0.154385,
        0.151372,
        0.148751,
        0.147446,
        0.146186,
        0.144113,
        0.142703,
        0.141791,
        0.141023,
        0.140529,
        0.138395,
        0.136014,
        0.135388,
        0.13511,
        0.133936,
        0.134494,
        0.13294,
        0.130495,
        0.131716,
        0.132379,
        0.130507,
        0.130215,
        0.129913,
        0.129155,
        0.129099,
        0.128366,
        0.127702,
        0.127928,
        0.126926,
        0.127295,
        0.128722,
        0.130781,
        0.130798,
        0.129254,
        0.12983,
        0.13109,
        0.131015,
        0.131144,
        0.133386,
        0.139826,
        0.139927,
        0.131665,
        0.132359,
        0.131963,
        0.131708,
        0.133421,
        0.13833,
        0.145237,
        0.151929,
        0.161267,
        0.158378,
        0.145701,
        0.139621,
        0.13383,
        0.130843,
        0.129748,
        0.130261,
        0.129458,
        0.127749,
        0.128549,
        0.127198,
        0.125876,
        0.125204,
        0.125842,
        0.126205,
        0.125853,
        0.12571,
        0.125956,
        0.126586,
        0.124989,
        0.12792,
        0.128361,
        0.126868,
        0.127209,
        0.129941,
        0.129603,
        0.128035,
        0.126892,
        0.126067,
        0.125146,
        0.124154,
        0.123288,
        0.121629,
        0.123087,
        0.120802,
        0.118787,
        0.118622,
        0.118469,
        0.117939,
        0.116783,
        0.117603,
        0.117372,
        0.117687,
        0.118209,
        0.124129,
        0.121591,
        0.117875,
        0.119002,
        0.119095,
        0.123006,
        0.132731,
        0.129765,
        0.119389,
        0.120464,
        0.120206,
        0.119362,
        0.120662,
        0.121712,
        0.121892,
        0.12161,
        0.12188,
        0.121708,
        0.121247,
        0.12168,
        0.122208,
        0.122598,
        0.122863,
        0.122575,
        0.122824,
        0.122654,
        0.122438,
        0.122605,
        0.123113,
        0.123692,
        0.123673,
        0.123041,
        0.122816,
        0.122505,
        0.122387,
        0.121924,
        0.121693,
        0.121922,
        0.122223,
        0.122101,
        0.122125,
        0.124807,
        0.126902,
        0.127532,
        0.132627,
        0.129106,
        0.140582,
        0.139284,
        0.122505,
        0.121275,
        0.120556,
        0.120074,
        0.118996,
        0.118959,
        0.119497,
        0.121263,
        0.122826,
        0.120961,
        0.119876,
        0.119925,
        0.120258,
        0.13031,
        0.128978,
        0.119837,
        0.119681,
        0.119047,
        0.119295,
        0.119665,
        0.118875,
        0.119912,
        0.120008,
        0.120411,
        0.120676,
        0.121717,
        0.121612,
        0.122724,
        0.122721,
        0.1226,
        0.123727,
        0.125155,
        0.125585,
        0.12404,
        0.125073,
        0.125199,
        0.125001,
        0.126258,
        0.125181,
        0.123768,
        0.124057,
        0.125274,
        0.126765,
        0.12636,
        0.12586,
        0.126145,
        0.127295,
        0.128173,
        0.126189,
        0.130011,
        0.130714,
        0.124462,
        0.124068,
        0.124166,
        0.12522,
        0.125184,
        0.123719,
        0.129714,
        0.129512,
        0.122987,
        0.122948,
        0.123934,
        0.123639,
        0.122614,
        0.122535,
        0.122294,
        0.122522,
        0.128237,
        0.132903,
        0.122264,
        0.12133,
        0.119853,
        0.120113,
        0.120846,
        0.121039,
        0.121438,
        0.120951,
        0.120931,
        0.126512,
        0.127449,
        0.121478,
        0.120144,
        0.121909,
        0.123066,
        0.122882,
        0.122701,
        0.124023,
        0.124915,
        0.122723,
        0.123413,
        0.124387,
        0.123565,
        0.123512,
        0.124222,
        0.126526,
        0.127532,
        0.132937,
        0.133536,
        0.126007,
        0.125716,
        0.125909,
        0.126591,
        0.129391,
        0.130901,
        0.12928,
        0.129771,
        0.129834,
        0.129368,
        0.133773,
        0.132064,
        0.127329,
        0.127481,
        0.128607,
        0.127575,
        0.128712,
        0.129023,
        0.127555,
        0.126969,
        0.127993,
        0.128441,
        0.127585,
        0.127923,
        0.126875,
        0.126497,
        0.127379,
        0.126925,
        0.126755,
        0.127278,
        0.128008,
        0.129064,
        0.128502,
        0.134794,
        0.136754,
        0.13276,
        0.132741,
        0.132091,
        0.132253,
        0.131211,
        0.129377,
        0.128391,
        0.130662,
        0.129919,
        0.124814,
        0.124203,
        0.124301,
        0.12601,
        0.124987,
        0.122506,
        0.123779,
        0.125715,
        0.124888,
        0.123676,
        0.12344,
        0.12347,
        0.12523,
        0.125902,
        0.127194,
        0.127834,
        0.126049,
        0.125177,
        0.126906,
        0.127681,
        0.127831,
        0.128032,
        0.12695,
        0.126823,
        0.134398,
        0.134905,
        0.12785,
        0.129115,
        0.136383,
        0.135341,
        0.131102,
        0.129676,
        0.131059,
        0.134795,
        0.13315,
        0.130317,
        0.129585,
        0.130079,
        0.134041,
        0.135201,
        0.130807,
        0.130895,
        0.131415,
        0.13057,
        0.129924,
        0.129515,
        0.130213,
        0.129921,
        0.129462,
        0.132046,
        0.132011,
        0.128595,
        0.127521,
        0.127791,
        0.12829,
        0.12734,
        0.126616,
        0.125944,
        0.125658,
        0.125755,
        0.125073,
        0.125253,
        0.127874,
        0.127776,
        0.125884,
        0.125753,
        0.125391,
        0.128718,
        0.132614,
        0.123999,
        0.12356,
        0.126595,
        0.127248,
        0.126378,
        0.128575,
        0.128616,
        0.126093,
        0.129556,
        0.12802,
        0.126735,
        0.127553,
        0.131242,
        0.131517,
        0.128474,
        0.13283,
        0.137767,
        0.134498,
        0.130184,
        0.12924,
        0.129125,
        0.130081,
        0.129281,
        0.129841,
        0.130634,
        0.131289,
        0.131489,
        0.133187,
        0.132921,
        0.133728,
        0.13354,
        0.135406,
        0.135705,
        0.140211,
        0.141845,
        0.135138,
        0.132586,
        0.132776,
        0.132349,
        0.131983,
        0.138922,
        0.140004,
        0.132986,
        0.132023,
        0.133686,
        0.132396,
        0.130147,
        0.129998,
        0.130619,
        0.130304,
        0.128097,
        0.126692,
        0.126016,
        0.126283,
        0.131271,
        0.131342,
        0.127633,
        0.125196,
        0.124207,
        0.123746,
        0.125828,
        0.126052,
        0.124643,
        0.123235,
        0.125564,
        0.124317,
        0.123816,
        0.124443,
        0.124063,
        0.12443,
        0.124955,
        0.126144,
        0.125125,
        0.125138,
        0.126186,
        0.126374,
        0.126441,
        0.126209,
        0.126947,
        0.127478,
        0.128421,
        0.129214,
        0.130113,
        0.130735,
        0.129737,
        0.1306,
        0.132689,
        0.132665,
        0.129818,
        0.130721,
        0.131257,
        0.134418,
        0.135426,
        0.132879,
        0.134314,
        0.135463,
        0.133692,
        0.134258,
        0.134726,
        0.133939,
        0.134118,
        0.134619,
        0.133529,
        0.133196,
        0.131784,
        0.131783,
        0.130857,
        0.130959,
        0.131774,
        0.131673,
        0.132198,
        0.132823,
        0.138243,
        0.13614,
        0.131753,
        0.133023,
        0.133091,
        0.133251,
        0.132925,
        0.133334,
        0.13369,
        0.134423,
        0.139147,
        0.14037,
        0.138834,
        0.140249,
        0.141862,
        0.143509,
        0.141277,
        0.140656,
        0.138537,
        0.139854,
        0.139428,
        0.134734,
        0.132538,
        0.132109,
        0.132119,
        0.131602,
        0.131726,
        0.132728,
        0.132901,
        0.132769,
        0.131548,
        0.132569,
        0.134515,
        0.135712,
        0.135064,
        0.134268,
        0.133941,
        0.135044,
        0.152857,
        0.155207,
        0.143526,
        0.142309,
        0.137052,
        0.13657,
        0.137761,
        0.138265,
        0.138682,
        0.140702,
        0.140337,
        0.140972,
        0.139505,
        0.140339,
        0.139739,
        0.149735,
        0.150799,
        0.141264,
        0.146377,
        0.14654,
        0.142192,
        0.142551,
        0.142074,
        0.143019,
        0.142036,
        0.145881,
        0.145282,
        0.13971,
        0.142351,
        0.13965,
        0.138483,
        0.140236,
        0.141057,
        0.139125,
        0.139269,
        0.141789,
        0.140272,
        0.13552,
        0.142026,
        0.143143,
        0.136272,
        0.137542,
        0.139241,
        0.139533,
        0.138596,
        0.13528,
        0.136701,
        0.137848,
        0.138615,
        0.139232,
        0.137469,
        0.138475,
        0.137164,
        0.137928,
        0.137351,
        0.136155,
        0.135769,
        0.137646,
        0.138213,
        0.139767,
        0.141222,
        0.141665,
        0.141085,
        0.141711,
        0.140236,
        0.140144,
        0.142405,
        0.14306,
        0.144046,
        0.144978,
        0.145096,
        0.146373,
        0.146829,
        0.14776,
        0.14811,
        0.147096,
        0.152835,
        0.153321,
        0.148886,
        0.148492,
        0.147664,
        0.148516,
        0.148738,
        0.149066,
        0.149866,
        0.149788,
        0.150508,
        0.158796,
        0.158112,
        0.147348,
        0.148026,
        0.149379,
        0.149916,
        0.150412,
        0.150157,
        0.151899,
        0.155178,
        0.148699,
        0.149721,
        0.147779,
        0.147973,
        0.15488,
        0.155311,
        0.147963,
        0.147132,
        0.146093,
        0.145894,
        0.146943,
        0.147213,
        0.145974,
        0.146515,
        0.145604,
        0.1464,
        0.146849,
        0.146943,
        0.147717,
        0.148291,
        0.146846,
        0.14745,
        0.150044,
        0.149519,
        0.148654,
        0.148568,
        0.148526,
        0.148972,
        0.149308,
        0.150868,
        0.151655,
        0.150277,
        0.151509,
        0.152119,
        0.155235,
        0.158964,
        0.155701,
        0.155463,
        0.158544,
        0.161614,
        0.154323,
        0.154348,
        0.155647,
        0.156289,
        0.156623,
        0.157693,
        0.158435,
        0.161486,
        0.162469,
        0.162561,
        0.15883,
        0.157715,
        0.157742,
        0.158443,
        0.159408,
        0.160429,
        0.161426,
        0.161247,
        0.161073,
        0.162425,
        0.167629,
        0.175175,
        0.170414,
        0.163294,
        0.162411,
        0.163282,
        0.164465,
        0.165264,
        0.166766,
        0.168137,
        0.166816,
        0.167603,
        0.167983,
        0.170754,
        0.173597,
        0.176214,
        0.179401,
        0.187246,
        0.199786,
        0.204759,
        0.202148,
        0.206504,
        0.208768,
        0.207909,
        0.201451,
        0.198716,
        0.198622,
        0.194352,
        0.198521,
        0.195619,
        0.184596,
        0.180728,
        0.177238,
        0.175086,
        0.177446,
        0.173584,
        0.170459,
        0.170452,
        0.170343,
        0.173057,
        0.174917,
        0.17167,
        0.181639,
        0.174074,
        0.170847,
        0.16986,
        0.170524,
        0.171269,
        0.170676,
        0.171784,
        0.17376,
        0.176111,
        0.176869,
        0.176033,
        0.175603,
        0.177753,
        0.179217,
        0.18016,
        0.178614,
        0.18906,
        0.189079,
        0.179437,
        0.178548,
        0.179165,
        0.180908,
        0.182514,
        0.188783,
        0.190237,
        0.185335,
        0.184127,
        0.198596,
        0.200413,
        0.188712,
        0.189202,
        0.190599,
        0.190918,
        0.1945,
        0.193959,
        0.194696,
        0.194686,
        0.195858,
        0.199197,
        0.199498,
        0.20067,
        0.209036,
        0.21038,
        0.204489,
        0.197642,
        0.192701,
        0.190958,
        0.190376,
        0.200542,
        0.211317,
        0.203589,
        0.192003,
        0.186347,
        0.186618,
        0.189197,
        0.201377,
        0.199719,
        0.190572,
        0.19228,
        0.192936,
        0.19659,
        0.199699,
        0.196811,
        0.198361,
        0.197909,
        0.201378,
        0.199461,
        0.203024,
        0.203523,
        0.204098,
        0.205415,
        0.209137,
        0.210288,
        0.206513,
        0.209841,
        0.209651,
        0.211611,
        0.212762,
        0.210031,
        0.210927,
        0.221572,
        0.223641,
        0.224459,
        0.214632,
        0.215406,
        0.218887,
        0.223163,
        0.221016,
        0.221848,
        0.240342,
        0.245301,
        0.230824,
        0.231943,
        0.232576,
        0.231159,
        0.231548,
        0.230018,
        0.232285,
        0.230497,
        0.22886,
        0.236087,
        0.240459,
        0.236909,
        0.253168,
        0.249513,
        0.251503,
        0.250308,
        0.25032,
        0.249109,
        0.246514,
        0.24673,
        0.244613,
        0.240599,
        0.241478,
        0.235304,
        0.229854,
        0.226763,
        0.225606,
        0.225697,
        0.225061,
        0.223232,
        0.224747,
        0.229496,
        0.233797,
        0.238861,
        0.22977,
        0.22844,
        0.243236,
        0.249377,
        0.234849,
        0.237638,
        0.239485,
        0.23731,
        0.237943,
        0.241028,
        0.239877,
        0.238708,
        0.243601,
        0.243391,
        0.246988,
        0.250515,
        0.249376,
        0.247122,
        0.255529,
        0.256399,
        0.259831,
        0.26188,
        0.26119,
        0.264097,
        0.271005,
        0.271357,
        0.275906,
        0.276448,
        0.269197,
        0.268919,
        0.270205,
        0.272157,
        0.273578,
        0.277461,
        0.282729,
        0.282545,
        0.280568,
        0.280748,
        0.284079,
        0.285363,
        0.285322,
        0.287517,
        0.286375,
        0.289362,
        0.308563,
        0.304091,
        0.292931,
        0.297415,
        0.327586,
        0.32428,
        0.303369,
        0.305454,
        0.304362,
        0.304907,
        0.313797,
        0.321463,
        0.319116,
        0.334194,
        0.369271,
        0.323485,
        0.317363,
        0.320601,
        0.33016,
        0.330884,
        0.334174,
        0.336623,
        0.346808,
        0.356386,
        0.362961,
        0.375887,
        0.378687,
        0.38715,
        0.392613,
        0.386352,
        0.391035,
        0.379535,
        0.38537,
        0.40186,
        0.405206,
        0.404209,
        0.41163,
        0.414399,
        0.412668,
        0.428271,
        0.440647,
        0.439538,
        0.445613,
        0.452632,
        0.460881,
        0.470283,
        0.482815,
        0.508502,
        0.506631,
        0.503742,
        0.511935,
        0.519915,
        0.530619,
        0.521336,
        0.538796,
        0.558258,
        0.589458,
        0.600845,
        0.607743,
        0.675082,
        0.694706,
        0.712709,
        0.734757,
        0.861749,
        0.870767,
        0.890692,
        0.98788,
        1.01439,
        1.12836,
        1.46714,
        1.60406,
        2.77344,
        null,
        5.52053,
        4.73221,
        3.36712,
        1.99128,
        1.95813,
        1.96389,
        1.9684,
        1.94192,
        1.90077,
        1.85778,
        1.75627,
        1.78716,
        1.75955,
        2.27508,
        3.16616,
        4.08199,
        5.21279,
        14.0688,
        2.89782,
        1.5421,
        1.50608,
        1.03007,
        1.0286,
        0.979999,
        0.927502,
        0.881195,
        0.84325,
        0.832617,
        0.784524,
        0.752447,
        0.726173,
        0.742799,
        0.726082,
        0.677514,
        0.659924,
        0.649247,
        0.607758,
        0.606748,
        0.598291,
        0.580829,
        0.544196,
        0.521407,
        0.516031,
        0.517346,
        0.504186,
        0.497233,
        0.502771,
        0.503592,
        0.489307,
        0.48431,
        0.470404,
        0.473994,
        0.459841,
        0.457876,
        0.449669,
        0.44013,
        0.447377,
        0.431682,
        0.426023,
        0.434856,
        null,
        0.19524,
        0.19665,
        0.19724,
        0.196693,
        0.195763,
        0.196951,
        0.19561,
        0.195197,
        0.197774,
        0.197784,
        0.196231,
        0.196166,
        0.196484,
        0.194975,
        0.193626,
        0.194869,
        0.192817,
        0.1932,
        0.193427,
        0.193835,
        0.193829,
        0.193332,
        0.192786,
        0.192038,
        0.192506,
        0.194129,
        0.194482,
        0.193798,
        0.191859,
        0.193145,
        0.195147,
        0.195982,
        0.196245,
        0.197569,
        0.201022,
        0.204257,
        0.202111,
        0.198783,
        0.201532,
        0.20362,
        0.205793,
        0.207039,
        0.208483,
        0.212162,
        0.215255,
        0.218347,
        0.22248,
        0.227622,
        0.237336,
        0.24611,
        0.25429,
        0.263525,
        0.270646,
        0.271537,
        0.269485,
        0.26706,
        0.26118,
        0.260407,
        0.2631,
        0.266232,
        0.272963,
        0.283331,
        0.29176,
        0.296843,
        0.299831,
        0.294242,
        0.285388,
        0.275426,
        0.273849,
        0.271495,
        0.264286,
        0.261023,
        0.265897,
        0.264953,
        0.264061,
        0.262355,
        0.262767,
        0.258753,
        0.258587,
        0.261502,
        0.261122,
        0.262229,
        0.264378,
        0.267271,
        0.269682,
        0.2734,
        0.276348,
        0.276419,
        0.280639,
        0.28522,
        0.288616,
        0.289794,
        0.293892,
        0.303095,
        0.307843,
        0.311049,
        0.317504,
        0.318385,
        0.330714,
        0.341958,
        0.343559,
        0.35129,
        0.362337,
        0.367463,
        0.380551,
        0.39797,
        0.41405,
        0.428465,
        0.443993,
        0.460444,
        0.478517,
        0.48124,
        0.500745,
        0.534975,
        0.570565,
        0.606488,
        0.640258,
        0.650075,
        0.662728,
        0.7352,
        0.803382,
        0.870004,
        0.962007,
        1.33594,
        1.50766,
        10.2168,
        4.14235,
        3.37263,
        0.799879,
        0.715949,
        0.684836,
        0.600992,
        0.577237,
        0.564574,
        0.499538,
        0.477627,
        0.463143,
        0.450572,
        0.43555,
        0.425111,
        0.414915,
        0.409127,
        0.400849,
        0.388656,
        0.377735,
        0.368533,
        0.370933,
        0.370381,
        0.365076,
        0.360741,
        0.340087,
        0.337214,
        0.328962,
        0.31758,
        0.304369,
        0.294452,
        0.284492,
        0.273155,
        0.267279,
        0.266026,
        0.262815,
        0.259486,
        0.252496,
        0.246682,
        0.24144,
        0.239631,
        0.238408,
        0.2373,
        0.23618,
        0.233738,
        0.23181,
        0.229313,
        0.228894,
        0.229411,
        0.228556,
        0.232745,
        0.231945,
        0.225414,
        0.225844,
        0.232611,
        0.235267,
        0.249338,
        0.258577,
        0.260004,
        0.262316,
        0.259089,
        0.253269,
        0.243056,
        0.233619,
        0.223651,
        0.217844,
        0.224566,
        0.221151,
        0.209694,
        0.20669,
        0.204835,
        0.203435,
        0.202607,
        0.200169,
        0.198288,
        0.197762,
        0.196744,
        0.193652,
        0.190497,
        0.189946,
        0.188759,
        0.192679,
        0.190164,
        0.184205,
        0.183096,
        0.182042,
        0.182959,
        0.183663,
        0.182193,
        0.17701,
        0.175473,
        0.17651,
        0.17589,
        0.175009,
        0.173908,
        0.173474,
        0.172546,
        0.171373,
        0.171244,
        0.170602,
        0.169186,
        0.169283,
        0.178749,
        0.179263,
        0.168902,
        0.170088,
        0.170984,
        0.169655,
        0.170103,
        0.169529,
        0.169131,
        0.168498,
        0.169393,
        0.169556,
        0.170519,
        0.171905,
        0.17331,
        0.173328,
        0.174876,
        0.173894,
        0.170761,
        0.171492,
        0.177628,
        0.180412,
        0.17581,
        0.175978,
        0.176508,
        0.176422,
        0.177373,
        0.178193,
        0.179007,
        0.179537,
        0.180367,
        0.182421,
        0.183956,
        0.187927,
        0.189768,
        0.189171,
        0.195118,
        0.199443,
        0.203439,
        0.211462,
        0.218601,
        0.225362,
        0.249915,
        0.259347,
        0.258175,
        0.271377,
        0.276998,
        0.276409,
        0.269892,
        0.261583,
        0.251613,
        0.23666,
        0.225291,
        0.216767,
        0.208016,
        0.197773,
        0.192012,
        0.189353,
        0.184668,
        0.177108,
        0.175876,
        0.173515,
        0.173624,
        0.170827,
        0.166334,
        0.164807,
        0.164209,
        0.163713,
        0.161304,
        0.165569,
        0.165901,
        0.161406,
        0.161384,
        0.160302,
        0.16023,
        0.159918,
        0.15922,
        0.159586,
        0.159282,
        0.161083,
        0.159836,
        0.159648,
        0.160044,
        0.158729,
        0.159547,
        0.160687,
        0.160697,
        0.15988,
        0.160781,
        0.161786,
        0.16099,
        0.160233,
        0.159559,
        0.158746,
        0.158553,
        0.157555,
        0.156649,
        0.155723,
        0.165782,
        0.167199,
        0.159527,
        0.157539,
        0.156373,
        0.155145,
        0.155269,
        0.154245,
        0.153264,
        0.153016,
        0.153719,
        0.152734,
        0.153061,
        0.151956,
        0.150338,
        0.150231,
        0.149037,
        0.149,
        0.1503,
        0.150527,
        0.149526,
        0.148952,
        0.146764,
        0.146569,
        0.146268,
        0.14631,
        0.146897,
        0.14824,
        0.146711,
        0.14621,
        0.147791,
        0.148192,
        0.147109,
        0.147549,
        0.148471,
        0.149847,
        0.151317,
        0.151971,
        0.152288,
        0.153074,
        0.152002,
        0.155889,
        0.159871,
        0.161332,
        0.165172,
        0.168656,
        0.175379,
        0.184693,
        0.192027,
        0.19685,
        0.197774,
        0.191168,
        0.185382,
        0.177219,
        0.170957,
        0.166582,
        0.164099,
        0.163682,
        0.160814,
        0.159046,
        0.15926,
        0.15703,
        0.15522,
        0.155317,
        0.157164,
        0.155728,
        0.153981,
        0.153147,
        0.152423,
        0.152231,
        0.15802,
        0.154213,
        0.158089,
        0.158187,
        0.150866,
        0.149647,
        0.148443,
        0.148206,
        0.150178,
        0.148822,
        0.147843,
        0.147808,
        0.146338,
        0.150575,
        0.152626,
        0.149737,
        0.147216,
        0.146264,
        0.145179,
        0.147192,
        0.14829,
        0.146328,
        0.14735,
        0.148222,
        0.147447,
        0.146862,
        0.149073,
        0.149034,
        0.151074,
        0.149398,
        0.149283,
        0.151315,
        0.151708,
        0.15107,
        0.151916,
        0.150844,
        0.150706,
        0.156346,
        0.157419,
        0.153213,
        0.154715,
        0.15522,
        0.154822,
        0.152614,
        0.154182,
        0.155409,
        0.155592,
        0.156657,
        0.157596,
        0.158147,
        0.157671,
        0.15647,
        0.154528,
        0.155948,
        0.156624,
        0.156255,
        0.157809,
        0.158096,
        0.157134,
        0.157628,
        0.157831,
        0.157522,
        0.157385,
        0.156622,
        0.157792,
        0.157403,
        0.157071,
        0.1562,
        0.156536,
        0.15722,
        0.158092,
        0.159377,
        0.159429,
        0.15787,
        0.159471,
        0.160322,
        0.161,
        0.161015,
        0.162907,
        0.164568,
        0.170008,
        0.171438,
        0.16758,
        0.16943,
        0.170334,
        0.172864,
        0.177242,
        0.180545,
        0.184506,
        0.187572,
        0.189539,
        0.193922,
        0.203024,
        0.209573,
        0.21565,
        0.223723,
        0.232868,
        0.242301,
        0.255843,
        0.273664,
        0.359331,
        0.406063,
        0.462785,
        0.559117,
        0.692893,
        0.852373,
        1.79982,
        2.22545,
        0.659179,
        0.561465,
        0.490116,
        0.420252,
        0.376747,
        0.339049,
        0.30831,
        0.28639,
        0.272071,
        0.25929,
        0.243795,
        0.236039,
        0.227153,
        0.214298,
        0.209158,
        0.204644,
        0.19921,
        0.200457,
        0.193987,
        0.19025,
        0.189158,
        0.184214,
        0.180959,
        0.177976,
        0.177388,
        0.183645,
        0.184201,
        0.174112,
        0.173573,
        0.173239,
        0.170651,
        0.17168,
        0.172595,
        0.171136,
        0.169384,
        0.168507,
        0.169638,
        0.171005,
        0.173255,
        0.172872,
        0.173416,
        0.176083,
        0.176991,
        0.179966,
        0.180761,
        0.182441,
        0.184278,
        0.185951,
        0.188784,
        0.194686,
        0.211047,
        0.216415,
        0.219225,
        0.230398,
        0.24373,
        0.248252,
        0.246222,
        0.243859,
        0.239211,
        0.236358,
        0.238277,
        0.244328,
        0.254585,
        0.269282,
        0.286773,
        0.314583,
        0.34726,
        0.389953,
        0.44566,
        0.48676,
        0.49518,
        0.457069,
        0.417932,
        0.373021,
        0.335372,
        0.297872,
        0.27307,
        0.257142,
        0.241055,
        0.227892,
        0.219771,
        0.213029,
        0.205929,
        0.200579,
        0.196278,
        0.192957,
        0.190531,
        0.188936,
        0.189683,
        0.201607,
        0.202619,
        0.190482,
        0.190675,
        0.194026,
        0.19623,
        0.196721,
        0.198442,
        0.201178,
        0.200866,
        0.198263,
        0.196338,
        0.194975,
        0.195442,
        0.193491,
        0.194006,
        0.192976,
        0.193369,
        0.191606,
        0.195263,
        0.211015,
        0.211893,
        0.200774,
        0.213598,
        0.219835,
        0.228657,
        0.240846,
        0.247168,
        0.245791,
        0.241918,
        0.234601,
        0.230761,
        0.244311,
        0.252469,
        0.246082,
        0.250004,
        0.25173,
        0.252019,
        0.253972,
        0.252885,
        0.250818,
        0.249831,
        0.253872,
        0.256767,
        0.259908,
        0.261937,
        0.266158,
        0.276355,
        0.284756,
        0.286248,
        0.302481,
        0.312966,
        0.323699,
        0.332811,
        0.347583,
        0.3678,
        0.480635,
        0.514816,
        0.573143,
        0.648115,
        0.730608,
        0.976116,
        1.18384,
        1.51677,
        3.98396,
        15.6538,
        32.5976,
        1.05986,
        0.887776,
        0.755789,
        0.666532,
        0.611859,
        0.557208,
        0.514362,
        0.469137,
        0.434112,
        0.420665,
        0.40051,
        0.376649,
        0.355311,
        0.344315,
        0.336289,
        0.327426,
        0.33624,
        0.328293,
        0.30635,
        0.29368,
        0.293548,
        0.289179,
        0.275187,
        0.27047,
        0.265275,
        0.262991,
        0.261055,
        0.264296,
        0.265964,
        0.253543,
        0.250147,
        0.251461,
        0.249097,
        0.244957,
        0.247296,
        0.247103,
        0.246059,
        0.259095,
        0.259733,
        0.250568,
        0.2536,
        0.255951,
        0.258947,
        0.261841,
        0.269469,
        0.277572,
        0.286246,
        0.298853,
        0.317486,
        0.327037,
        0.333939,
        0.333538,
        0.329294,
        0.321533,
        0.307039,
        0.301491,
        0.293086,
        0.287637,
        0.296489,
        0.29713,
        0.280953,
        0.280555,
        0.283252,
        0.287343,
        0.294158,
        0.293245,
        0.295,
        0.298731,
        0.30815,
        0.313323,
        0.318026,
        0.3347,
        0.352632,
        0.364354,
        0.377498,
        0.383721,
        0.379456,
        0.373347,
        0.365888,
        0.360905,
        0.365467,
        0.368417,
        0.380579,
        0.383963,
        0.393508,
        0.407043,
        0.410049,
        0.412359,
        0.420479,
        0.464005,
        0.47709,
        0.476207,
        0.497981,
        0.508056,
        0.614264,
        0.600789,
        0.643091,
        0.715607,
        0.77002,
        0.913435,
        0.986046,
        1.12926,
        1.66329,
        1.85182,
        2.04721,
        5.18118,
        21.9559,
        1.30742,
        1.10355,
        1.05667,
        0.914685,
        0.86427,
        0.806332,
        0.685335,
        0.655968,
        0.618361,
        0.585187,
        0.473594,
        0.462795,
        0.451509,
        0.437294,
        0.424572,
        0.418107,
        0.392,
        0.386947,
        0.380289,
        0.362806,
        0.357612,
        0.356169,
        0.353765,
        0.343627,
        0.33743,
        0.326146,
        0.32508,
        0.32466,
        0.322169,
        0.319193,
        0.319793,
        0.315227,
        0.311318,
        0.310773,
        0.305273,
        0.297125,
        0.294326,
        0.29251,
        0.289858,
        0.282754,
        0.280278,
        0.274502,
        0.264931,
        0.260552,
        0.255575,
        0.250909,
        0.24536,
        0.239795,
        0.237586,
        0.236811,
        0.230527,
        0.224277,
        0.229504,
        0.242285,
        0.234526,
        0.218502,
        0.218349,
        0.21619,
        0.217942,
        0.213174,
        0.209069,
        0.206859,
        0.205921,
        0.204784,
        0.203246,
        0.201248,
        0.200924,
        0.200369,
        0.206111,
        0.203221,
        0.195708,
        0.195837,
        0.195895,
        0.193338,
        0.193998,
        0.193845,
        0.195828,
        0.194701,
        0.197511,
        0.197848,
        0.193009,
        0.192324,
        0.192941,
        0.191251,
        0.192962,
        0.194476,
        0.19494,
        0.19229,
        0.193702,
        0.195258,
        0.195852,
        0.19937,
        0.203225,
        0.207543,
        0.214089,
        0.219237,
        0.226658,
        0.220077,
        0.207638,
        0.203724,
        0.197965,
        0.195881,
        0.194842,
        0.190793,
        0.18772,
        0.184271,
        0.18308,
        0.179905,
        0.178118,
        0.178089,
        0.176933,
        0.186165,
        0.18506,
        0.17382,
        0.17309,
        0.173928,
        0.170518,
        0.169723,
        0.170434,
        0.169309,
        0.168564,
        0.166983,
        0.16637,
        0.165533,
        0.164026,
        0.163554,
        0.164409,
        0.16413,
        0.163185,
        0.161454,
        0.163043,
        0.163851,
        0.160656,
        0.160501,
        0.160871,
        0.160451,
        0.162819,
        0.162847,
        0.160752,
        0.160948,
        0.161502,
        0.16262,
        0.163105,
        0.16308,
        0.161995,
        0.166192,
        0.166097,
        0.162555,
        0.1623,
        0.163524,
        0.166098,
        0.165245,
        0.161621,
        0.162101,
        0.171195,
        0.174733,
        0.164185,
        0.165814,
        0.166732,
        0.163858,
        0.163697,
        0.161313,
        0.165836,
        0.168449,
        0.161487,
        0.160034,
        0.160377,
        0.161039,
        0.159802,
        0.157887,
        0.170589,
        0.17065,
        0.159026,
        0.157874,
        0.157077,
        0.15767,
        0.157043,
        0.156359,
        0.155937,
        0.154535,
        0.153841,
        0.152401,
        0.151572,
        0.15235,
        0.15135,
        0.151227,
        0.150807,
        0.151027,
        0.152277,
        0.151512,
        0.150248,
        0.160276,
        0.158863,
        0.14734,
        0.146568,
        0.146315,
        0.146062,
        0.15146,
        0.152258,
        0.146427,
        0.147119,
        0.146343,
        0.146277,
        0.146509,
        0.147059,
        0.152793,
        0.152735,
        0.152682,
        0.154378,
        0.157236,
        0.158524,
        0.150862,
        0.150266,
        0.153859,
        0.156487,
        0.156052,
        0.151861,
        0.151829,
        0.153021,
        0.154883,
        0.154686,
        0.152827,
        0.153818,
        0.154059,
        0.153154,
        0.154348,
        0.157651,
        0.164288,
        0.161238,
        0.155321,
        0.156057,
        0.155592,
        0.156441,
        0.156192,
        0.154307,
        0.154242,
        0.167306,
        0.16829,
        0.153842,
        0.152724,
        0.152843,
        0.154706,
        0.153324,
        0.153223,
        0.153319,
        0.153811,
        0.152665,
        0.152906,
        0.152997,
        0.15373,
        0.151329,
        0.149571,
        0.149736,
        0.149561,
        0.149307,
        0.149996,
        0.154709,
        0.15246,
        0.147663,
        0.148148,
        0.147948,
        0.1472,
        0.148089,
        0.148627,
        0.148051,
        0.149048,
        0.148341,
        0.147581,
        0.147038,
        0.148484,
        0.149474,
        0.151199,
        0.152507,
        0.149614,
        0.149941,
        0.152052,
        0.153312,
        0.152016,
        0.152056,
        0.153113,
        0.153486,
        0.152945,
        0.154355,
        0.158207,
        0.167056,
        0.166204,
        0.156363,
        0.158601,
        0.160091,
        0.160659,
        0.162311,
        0.163947,
        0.169515,
        0.172411,
        0.175155,
        0.187886,
        0.193911,
        0.186631,
        0.18868,
        0.1849,
        0.180265,
        0.176586,
        0.175299,
        0.172528,
        0.169488,
        0.16684,
        0.168045,
        0.169014,
        0.164552,
        0.163666,
        0.164883,
        0.166093,
        0.165809,
        0.166421,
        0.16167,
        0.176157,
        0.176515,
        0.163589,
        0.162512,
        0.161843,
        0.161383,
        0.165183,
        0.163805,
        0.160434,
        0.159638,
        0.157171,
        0.156504,
        0.156581,
        0.158955,
        0.156091,
        0.158117,
        0.159905,
        0.154928,
        0.153765,
        0.153194,
        0.152153,
        0.151675,
        0.15352,
        0.154007,
        0.155658,
        0.155938,
        0.165585,
        0.165602,
        0.155184,
        0.155361,
        0.15504,
        0.159225,
        0.162411,
        0.159858,
        0.170891,
        0.173158,
        0.166557,
        0.167291,
        0.160771,
        0.160485,
        0.160779,
        0.161701,
        0.162542,
        0.162586,
        0.165484,
        0.163891,
        0.164318,
        0.163852,
        0.165138,
        0.165695,
        0.166035,
        0.165181,
        0.163485,
        0.16428,
        0.165723,
        0.166882,
        0.166927,
        0.167964,
        0.16736,
        0.166093,
        0.165436,
        0.164961,
        0.164812,
        0.163719,
        0.166578,
        0.166274,
        0.162851,
        0.165483,
        0.167409,
        0.165865,
        0.165427,
        0.166752,
        0.166653,
        0.167533,
        0.165536,
        0.16486,
        0.164057,
        0.161546,
        0.162752,
        0.162974,
        0.16346,
        0.163445,
        0.162834,
        0.161939,
        0.16309,
        0.165568,
        0.165383,
        0.164906,
        0.166566,
        0.167898,
        0.168005,
        0.168667,
        0.169319,
        0.169663,
        0.171437,
        0.172396,
        0.174211,
        0.175072,
        0.175875,
        0.177851,
        0.179226,
        0.181662,
        0.191327,
        0.195182,
        0.186982,
        0.188467,
        0.192047,
        0.193046,
        0.192915,
        0.195147,
        0.207264,
        0.212846,
        0.222454,
        0.224771,
        0.216212,
        0.224766,
        0.232766,
        0.234227,
        0.24507,
        0.258133,
        0.270181,
        0.285866,
        0.295457,
        0.312539,
        0.335502,
        0.368227,
        0.408098,
        0.590029,
        0.776049,
        0.842335,
        0.861582,
        0.848439,
        0.79045,
        0.704283,
        0.626336,
        0.429998,
        0.389705,
        0.362675,
        0.334526,
        0.309226,
        0.284678,
        0.264294,
        0.254859,
        0.243903,
        0.240901,
        0.242932,
        0.231665,
        0.22221,
        0.212305,
        0.204846,
        0.203567,
        0.22129,
        0.219604,
        0.202408,
        0.199679,
        0.196481,
        0.194197,
        0.193727,
        0.190452,
        0.186386,
        0.189026,
        0.190278,
        0.207365,
        0.205642,
        0.192613,
        0.191582,
        0.189,
        0.188321,
        0.18992,
        0.189615,
        0.190931,
        0.189876,
        0.189038,
        0.188623,
        0.189566,
        0.191549,
        0.194443,
        0.194011,
        0.193179,
        0.191272,
        0.192687,
        0.208399,
        0.212911,
        0.204637,
        0.208825,
        0.20192,
        0.19703,
        0.194671,
        0.195471,
        0.199702,
        0.22319,
        0.213955,
        0.190281,
        0.18846,
        0.191012,
        0.190716,
        0.188539,
        0.187623,
        0.191954,
        0.190914,
        0.189318,
        0.188936,
        0.190491,
        0.190667,
        0.188451,
        0.185932,
        0.181261,
        0.181472,
        0.190659,
        0.189969,
        0.183549,
        0.181942,
        0.182189,
        0.183149,
        0.183807,
        0.186201,
        0.187556,
        0.185988,
        0.19118,
        0.194547,
        0.188025,
        0.189223,
        0.191519,
        0.191945,
        0.189725,
        0.189293,
        0.193592,
        0.2031,
        0.200629,
        0.198222,
        0.19712,
        0.200464,
        0.201095,
        0.204787,
        0.206366,
        0.202697,
        0.202222,
        0.203315,
        0.208503,
        0.207984,
        0.205612,
        0.207463,
        0.216285,
        0.227221,
        0.238663,
        0.249576,
        0.258061,
        0.258821,
        0.25368,
        0.24637,
        0.241156,
        0.247858,
        0.252531,
        0.253949,
        0.259237,
        0.271174,
        0.280214,
        0.289355,
        0.299976,
        0.311548,
        0.33054,
        0.327876,
        0.310138,
        0.296075,
        0.284509,
        0.268754,
        0.26085,
        0.251763,
        0.243443,
        0.235611,
        0.22908,
        0.222492,
        0.220562,
        0.216424,
        0.213265,
        0.211719,
        0.208769,
        0.210007,
        0.210323,
        0.207251,
        0.203584,
        0.201729,
        0.201527,
        0.205977,
        0.210091,
        0.210192,
        0.205213,
        0.201913,
        0.201644,
        0.198547,
        0.197698,
        0.200488,
        0.205382,
        0.204777,
        0.204927,
        0.203647,
        0.204962,
        0.20614,
        0.206929,
        0.211662,
        0.212039,
        0.211857,
        0.212637,
        0.21317,
        0.213106,
        0.21184,
        0.211233,
        0.212171,
        0.214252,
        0.217525,
        0.216488,
        0.216521,
        0.219809,
        0.222522,
        0.221324,
        0.218551,
        0.219679,
        0.223611,
        0.224045,
        0.231989,
        0.235913,
        0.226443,
        0.225695,
        0.229665,
        0.230818,
        0.232769,
        0.23137,
        0.230129,
        0.232996,
        0.233479,
        0.235001,
        0.236023,
        0.241571,
        0.242707,
        0.243926,
        0.251063,
        0.2522,
        0.254343,
        0.258158,
        0.263719,
        0.271435,
        0.300205,
        0.305439,
        0.29693,
        0.305276,
        0.310005,
        0.355127,
        0.333646,
        0.338001,
        0.339727,
        0.339643,
        0.340762,
        0.353955,
        0.37093,
        0.380131,
        0.394752,
        0.449947,
        0.512574,
        0.524175,
        0.649868,
        0.77732,
        0.940906,
        1.1548,
        1.44839,
        1.75395,
        2.84011,
        2.52549,
        1.54542,
        1.19431,
        0.998728,
        0.856729,
        0.716234,
        0.648629,
        0.585503,
        0.530492,
        0.482633,
        0.449354,
        0.431764,
        0.40889,
        0.386529,
        0.382551,
        0.378096,
        0.369113,
        0.359355,
        0.34618,
        0.333452,
        0.318163,
        0.307774,
        0.306237,
        0.300385,
        0.292694,
        0.28604,
        0.280612,
        0.280015,
        0.277797,
        0.273828,
        0.269272,
        0.265669,
        0.259227,
        0.259573,
        0.255321,
        0.253696,
        0.253158,
        0.251973,
        0.250853,
        0.247987,
        0.246373,
        0.248605,
        0.246692,
        0.241578,
        0.238853,
        0.239396,
        0.240393,
        0.240624,
        0.25017,
        0.247281,
        0.233495,
        0.233053,
        0.237379,
        0.237771,
        0.237171,
        0.233578,
        0.231573,
        0.232001,
        0.230651,
        0.240676,
        0.247837,
        0.247743,
        0.239568,
        0.236373,
        0.23877,
        0.236525,
        0.23715,
        0.237236,
        0.238604,
        0.241878,
        0.242387,
        0.240362,
        0.240967,
        0.243395,
        0.247662,
        0.246717,
        0.245101,
        0.244082,
        0.244173,
        0.245442,
        0.247018,
        0.252659,
        0.253167,
        0.251026,
        0.248526,
        0.248482,
        0.249947,
        0.249474,
        0.247186,
        0.248536,
        0.264103,
        0.258531,
        0.249871,
        0.249397,
        0.24582,
        0.243697,
        0.244133,
        0.249682,
        0.249539,
        0.244392,
        0.246024,
        0.245362,
        0.247657,
        0.249976,
        0.267228,
        0.26533,
        0.24451,
        0.243743,
        0.242827,
        0.241788,
        0.241517,
        0.240152,
        0.24031,
        0.241137,
        0.242002,
        0.245049,
        0.244407,
        0.250275,
        0.250331,
        0.243462,
        0.244348,
        0.247387,
        0.246821,
        0.245782,
        0.257116,
        0.247927,
        0.247312,
        0.24828,
        0.248334,
        0.25743,
        0.258648,
        0.250653,
        0.25118,
        0.253094,
        0.253993,
        0.257094,
        0.260581,
        0.257689,
        0.263727,
        0.267353,
        0.261562,
        0.263432,
        0.263178,
        0.26391,
        0.278179,
        0.287814,
        0.276659,
        0.273905,
        0.271001,
        0.27265,
        0.278691,
        0.277172,
        0.276606,
        0.275386,
        0.276784,
        0.277628,
        0.277735,
        0.283023,
        0.284553,
        0.281643,
        0.284579,
        0.288837,
        0.283451,
        0.300951,
        0.307603,
        0.288983,
        0.280916,
        0.280319,
        0.279306,
        0.301021,
        0.297327,
        0.281403,
        0.278778,
        0.285225,
        0.286021,
        0.285053,
        0.294751,
        0.298673,
        0.290181,
        0.289361,
        0.338556,
        0.326256,
        0.304881,
        0.295805,
        0.284782,
        0.286878,
        0.284634,
        0.289064,
        0.292463,
        0.290887,
        0.290266,
        0.290491,
        0.292757,
        0.293468,
        0.296552,
        0.298223,
        0.299279,
        0.301433,
        0.301882,
        0.305346,
        0.308144,
        0.308351,
        0.304784,
        0.310603,
        0.315746,
        0.317561,
        0.320109,
        0.318576,
        0.316077,
        0.320044,
        0.326382,
        0.332321,
        0.335996,
        0.336957,
        0.335049,
        0.3342,
        0.340322,
        0.343608,
        0.345594,
        0.348148,
        0.352467,
        0.362027,
        0.363172,
        0.352339,
        0.352099,
        0.374876,
        0.382066,
        0.365568,
        0.361592,
        0.367241,
        0.371524,
        0.37163,
        0.376043,
        0.37704,
        0.388109,
        0.389213,
        0.38179,
        0.38018,
        0.387057,
        0.385398,
        0.391439,
        0.398275,
        0.394517,
        0.393983,
        0.390139,
        0.431392,
        0.436388,
        0.403504,
        0.404456,
        0.399122,
        0.405935,
        0.414394,
        0.408473,
        0.410769,
        0.415041,
        0.405935,
        0.407716,
        0.409894,
        0.41172,
        0.422699,
        0.436995,
        0.430993,
        0.437392,
        0.441558,
        0.480401,
        0.509593,
        0.474431,
        0.47462,
        0.471135,
        0.487563,
        0.495204,
        0.491831,
        0.498114,
        0.505823,
        0.527345,
        0.526505,
        0.52004,
        0.539144,
        0.540408,
        0.551094,
        0.614876,
        0.570294,
        0.581303,
        0.607619,
        0.622379,
        0.687,
        0.692275,
        0.650199,
        0.710288,
        0.729284,
        0.777143,
        0.767038,
        0.893885,
        0.870693,
        0.901547,
        0.918949,
        1.04614,
        1.05796,
        1.16954,
        1.34873,
        1.39024,
        1.45736,
        1.54822,
        1.69587,
        2.65238,
        null,
        38.1289,
        21.502,
        2.41338,
        2.11689,
        1.94982,
        1.38127,
        1.03127,
        1.0065,
        0.908187,
        0.909536,
        0.905587,
        0.884834,
        0.855168,
        0.82158,
        0.795431,
        0.80226,
        0.792733,
        0.783772,
        0.788874,
        0.772412,
        0.699873,
        0.665234,
        0.653748,
        0.652847,
        0.647371,
        0.644717,
        0.631923,
        0.630184,
        0.61011,
        0.594719,
        0.589295,
        0.585124,
        0.536576,
        0.53912,
        0.523851,
        0.520372,
        0.511204,
        0.504979,
        0.502033,
        0.506314,
        0.489893,
        0.481547,
        0.483086,
        0.497422,
        0.494132,
        0.460654,
        0.447357,
        0.444607,
        0.481581,
        0.479751,
        0.445205,
        0.446759,
        0.439163,
        0.431876,
        0.429979,
        0.437183,
        0.434888,
        0.433883,
        0.412594,
        0.401724,
        0.421381,
        0.416973,
        0.404968,
        0.404389,
        0.409135,
        0.408169,
        0.409907,
        0.412182,
        0.411141,
        0.407958,
        0.40869,
        0.409201,
        0.402819,
        0.402466,
        0.406825,
        0.395943,
        0.38593,
        0.387607,
        0.386795,
        0.382503,
        0.382615,
        0.39289,
        0.391225,
        0.37539,
        0.370054,
        0.394918,
        0.382233,
        0.358808,
        0.361453,
        0.361359,
        0.365652,
        0.361057,
        0.358823,
        0.353659,
        0.35417,
        0.353312,
        0.352166,
        0.351675,
        0.359955,
        0.363409,
        0.366919,
        0.3769,
        0.394249,
        0.409751,
        0.443747,
        0.500075,
        0.641851,
        0.49664,
        0.43768,
        0.405334,
        0.370274,
        0.355054,
        0.346807,
        0.339435,
        0.339883,
        0.32901,
        0.321862,
        0.317691,
        0.314834,
        0.31163,
        0.308586,
        0.306848,
        0.302828,
        0.304852,
        0.307003,
        0.301922,
        0.298246,
        0.296681,
        0.298419,
        0.295698,
        0.291636,
        0.289935,
        0.289233,
        0.287992,
        0.289011,
        0.288601,
        0.287972,
        0.299499,
        0.296282,
        0.282638,
        0.283349,
        0.282501,
        0.276357,
        0.275076,
        0.274021,
        0.273137,
        0.287393,
        0.284545,
        0.266995,
        0.265833,
        0.268218,
        0.265767,
        0.2677,
        0.264472,
        0.259916,
        0.258803,
        0.254315,
        0.254629,
        0.253468,
        0.251621,
        0.256735,
        0.258335,
        0.256721,
        0.254432,
        0.251888,
        0.253229,
        0.253293,
        0.251103,
        0.249895,
        0.247307,
        0.247062,
        0.248512,
        0.254384,
        0.253863,
        0.254075,
        0.251774,
        0.254775,
        0.256993,
        0.254744,
        0.255975,
        0.258589,
        0.264867,
        0.267235,
        0.264847,
        0.267479,
        0.274775,
        0.284509,
        0.288114,
        0.291359,
        0.28698,
        0.280728,
        0.269712,
        0.263204,
        0.261843,
        0.260252,
        0.256847,
        0.254369,
        0.251148,
        0.250159,
        0.251834,
        0.251136,
        0.248952,
        0.250592,
        0.24744,
        0.246992,
        0.24411,
        0.244682,
        0.253155,
        0.262009,
        0.25853,
        0.24565,
        0.24452,
        0.262888,
        0.264101,
        0.245658,
        0.247022,
        0.248314,
        0.247971,
        0.250717,
        0.251298,
        0.254305,
        0.256498,
        0.255504,
        0.261577,
        0.270074,
        0.276035,
        0.279575,
        0.289881,
        0.305799,
        0.327062,
        0.345649,
        0.385154,
        0.43117,
        0.451904,
        0.532988,
        0.566867,
        0.503463,
        0.470513,
        0.436823,
        0.401668,
        0.370839,
        0.343134,
        0.32272,
        0.309074,
        0.296159,
        0.283497,
        0.275321,
        0.270429,
        0.264901,
        0.259556,
        0.253695,
        0.249429,
        0.246012,
        0.252018,
        0.250635,
        0.240583,
        0.263183,
        0.261236,
        0.237068,
        0.238219,
        0.247106,
        0.241148,
        0.232567,
        0.232466,
        0.231751,
        0.248978,
        0.255006,
        0.231005,
        0.220728,
        0.220017,
        0.220816,
        0.225115,
        0.226351,
        0.222341,
        0.223427,
        0.225915,
        0.228975,
        0.239219,
        0.243247,
        0.237747,
        0.243821,
        0.25477,
        0.261233,
        0.267499,
        0.270588,
        0.275306,
        0.274412,
        0.267554,
        0.260907,
        0.254637,
        0.245204,
        0.237784,
        0.232315,
        0.228141,
        0.225249,
        0.219687,
        0.215869,
        0.215436,
        0.212742,
        0.20944,
        0.208297,
        0.206471,
        0.206938,
        0.20625,
        0.206775,
        0.207383,
        0.20772,
        0.20409,
        0.205386,
        0.207318,
        0.204835,
        0.202837,
        0.203161,
        0.204664,
        0.205243,
        0.202854,
        0.202426,
        0.201837,
        0.204806,
        0.20353,
        0.204506,
        0.205791,
        0.203918,
        0.204558,
        0.203699,
        0.201877,
        0.199545,
        0.199476,
        0.199805,
        0.200321,
        0.197984,
        0.197849,
        0.198669,
        0.199038,
        0.19693,
        0.197375,
        0.195171,
        0.194512,
        0.195881,
        0.196341,
        0.197165,
        0.197471,
        0.196038,
        0.196948,
        0.198706,
        0.192584,
        0.192287,
        0.19158,
        0.192362,
        0.193868,
        0.193301,
        0.192475,
        0.193314,
        0.192191,
        0.192037,
        0.192969,
        0.197945,
        0.199489,
        0.19782,
        0.199177,
        0.200164,
        0.202107,
        0.205905,
        0.209355,
        0.212294,
        0.213903,
        0.220379,
        0.238323,
        0.242524,
        0.25188,
        0.273238,
        0.375818,
        0.483139,
        0.63561,
        0.904976,
        0.824865,
        0.649736,
        0.495187,
        0.394461,
        0.329208,
        0.288302,
        0.26401,
        0.247592,
        0.23812,
        0.229286,
        0.224094,
        0.219135,
        0.213222,
        0.211289,
        0.20779,
        0.205811,
        0.204267,
        0.202841,
        0.201207,
        0.199658,
        0.198725,
        0.198925,
        0.195918,
        0.194472,
        0.194165,
        0.206029,
        0.206181,
        0.196001,
        0.19345,
        0.191947,
        0.192389,
        0.190788,
        0.191289,
        0.189416,
        0.193646,
        0.194838,
        0.190359,
        0.191559,
        0.191361,
        0.190994,
        0.191661,
        0.188636,
        0.188478,
        0.18911,
        0.192113,
        0.19471,
        0.192331,
        0.193099,
        0.191865,
        0.192813,
        0.194325,
        0.19361,
        0.193919,
        0.196802,
        0.196874,
        0.198185,
        0.199272,
        0.198715,
        0.202846,
        0.206009,
        0.20495,
        0.204798,
        0.20253,
        0.203856,
        0.203808,
        0.205734,
        0.208985,
        0.211934,
        0.213181,
        0.22128,
        0.223495,
        0.225114,
        0.227439,
        0.234683,
        0.236824,
        0.24561,
        0.252866,
        0.259901,
        0.277367,
        0.295674,
        0.31006,
        0.330673,
        0.345737,
        0.362495,
        0.380312,
        0.402085,
        0.418402,
        0.42237,
        0.42438,
        0.42341,
        0.407855,
        0.367271,
        0.351773,
        0.339305,
        0.320809,
        0.302572,
        0.289445,
        0.280955,
        0.2597,
        0.250075,
        0.244127,
        0.242987,
        0.242407,
        0.240806,
        0.243853,
        0.270437,
        0.274623,
        0.263579,
        0.28219,
        0.301599,
        0.317765,
        0.323965,
        0.324687,
        0.315608,
        0.299738,
        0.288435,
        0.270779,
        0.254118,
        0.243393,
        0.234172,
        0.226737,
        0.219503,
        0.215649,
        0.209049,
        0.206847,
        0.204232,
        0.203343,
        0.208278,
        0.209943,
        0.200188,
        0.194488,
        0.193893,
        0.194078,
        0.192299,
        0.191066,
        0.196852,
        0.196612,
        0.189513,
        0.187543,
        0.187773,
        0.186561,
        0.188084,
        0.189692,
        0.189111,
        0.185877,
        0.187412,
        0.185656,
        0.184495,
        0.197603,
        0.193047,
        0.184233,
        0.184397,
        0.184833,
        0.184707,
        0.183792,
        0.183824,
        0.184362,
        0.183122,
        0.182564,
        0.180381,
        0.179873,
        0.179661,
        0.177382,
        0.178327,
        0.179241,
        0.180473,
        0.176412,
        0.176439,
        0.179121,
        0.176022,
        0.174619,
        0.17712,
        0.178133,
        0.176923,
        0.176728,
        0.177753,
        0.184858,
        0.188056,
        0.182018,
        0.181974,
        0.181398,
        0.183743,
        0.188194,
        0.193423,
        0.199106,
        0.207168,
        0.215788,
        0.223813,
        0.239417,
        0.232397,
        0.217999,
        0.210364,
        0.206813,
        0.201621,
        0.197841,
        0.194889,
        0.196723,
        0.195522,
        0.188886,
        0.185628,
        0.184489,
        0.185368,
        0.183869,
        0.19505,
        0.195537,
        0.180699,
        0.181707,
        0.182971,
        0.184228,
        0.186567,
        0.19438,
        0.197462,
        0.1849,
        0.194083,
        0.192485,
        0.178156,
        0.178845,
        0.179319,
        0.177781,
        0.179941,
        0.180722,
        0.176119,
        0.176494,
        0.18096,
        0.186459,
        0.1878,
        0.181644,
        0.178292,
        0.19011,
        0.192063,
        0.179949,
        0.178993,
        0.17428,
        0.174861,
        0.174817,
        0.174616,
        0.17576,
        0.179694,
        0.179878,
        0.175382,
        0.175579,
        0.1743,
        0.173515,
        0.174818,
        0.17547,
        0.174887,
        0.175353,
        0.17568,
        0.175736,
        0.177256,
        0.178753,
        0.180742,
        0.183132,
        0.183319,
        0.182107,
        0.195089,
        0.198977,
        0.190022,
        0.189149,
        0.190478,
        0.192875,
        0.191916,
        0.188865,
        0.189242,
        0.187274,
        0.18549,
        0.185609,
        0.183867,
        0.182549,
        0.185751,
        0.185732,
        0.183174,
        0.183996,
        0.184102,
        0.183294,
        0.183352,
        0.185018,
        0.188002,
        0.191338,
        0.188742,
        0.197696,
        0.198007,
        0.182125,
        0.182009,
        0.181537,
        0.182904,
        0.181451,
        0.190906,
        0.192676,
        0.184243,
        0.184945,
        0.188753,
        0.190773,
        0.189154,
        0.189954,
        0.186279,
        0.182944,
        0.182398,
        0.181859,
        0.181962,
        0.179821,
        0.187877,
        0.184124,
        0.178176,
        0.190009,
        0.192878,
        0.179735,
        0.179277,
        0.180144,
        0.183981,
        0.185693,
        0.187106,
        0.187813,
        0.192952,
        0.200038,
        0.213351,
        0.231364,
        0.262604,
        0.307234,
        0.348801,
        0.373007,
        0.368236,
        0.337744,
        0.305369,
        0.272071,
        0.243941,
        0.226587,
        0.215837,
        0.208867,
        0.204766,
        0.199692,
        0.19734,
        0.196457,
        0.194169,
        0.193777,
        0.194352,
        0.190503,
        0.189848,
        0.190489,
        0.191617,
        0.195701,
        0.195069,
        0.189037,
        0.1877,
        0.188354,
        0.19088,
        0.194948,
        0.199599,
        0.197325,
        0.195989,
        0.19968,
        0.20305,
        0.211609,
        0.214652,
        0.208683,
        0.207751,
        0.205165,
        0.198491,
        0.197599,
        0.193913,
        0.191292,
        0.189996,
        0.186786,
        0.186026,
        0.184376,
        0.185556,
        0.186522,
        0.186865,
        0.186451,
        0.18855,
        0.200776,
        0.196441,
        0.18858,
        0.190369,
        0.196744,
        0.200277,
        0.201624,
        0.206939,
        0.212159,
        0.224208,
        0.241971,
        0.258485,
        0.266672,
        0.271071,
        0.266133,
        0.253325,
        0.240807,
        0.229055,
        0.220206,
        0.228165,
        0.22186,
        0.211399,
        0.207315,
        0.205398,
        0.203187,
        0.201368,
        0.198739,
        0.200478,
        0.201775,
        0.200946,
        0.223316,
        0.225945,
        0.20893,
        0.210667,
        0.212026,
        0.211855,
        0.216259,
        0.229487,
        0.241914,
        0.243955,
        0.247833,
        0.261892,
        0.254675,
        0.229532,
        0.221118,
        0.215313,
        0.209769,
        0.210174,
        0.207759,
        0.205351,
        0.203434,
        0.201507,
        0.199542,
        0.201471,
        0.201961,
        0.199299,
        0.199295,
        0.200369,
        0.199633,
        0.200813,
        0.208653,
        0.21505,
        0.218826,
        0.226201,
        0.238145,
        0.252882,
        0.262739,
        0.263946,
        0.253792,
        0.242384,
        0.231472,
        0.22239,
        0.218334,
        0.212932,
        0.209067,
        0.207811,
        0.21642,
        0.218112,
        0.212313,
        0.210243,
        0.206821,
        0.210406,
        0.214039,
        0.218081,
        0.220314,
        0.225034,
        0.230736,
        0.2375,
        0.248247,
        0.267686,
        0.287322,
        0.298684,
        0.306394,
        0.293986,
        0.279529,
        0.264719,
        0.254881,
        0.248334,
        0.240208,
        0.237811,
        0.232845,
        0.228601,
        0.228121,
        0.228872,
        0.227563,
        0.225267,
        0.226736,
        0.231385,
        0.236118,
        0.243221,
        0.247987,
        0.257614,
        0.273039,
        0.291614,
        0.31705,
        0.336747,
        0.339117,
        0.340411,
        0.322071,
        0.296444,
        0.279319,
        0.266861,
        0.260118,
        0.255734,
        0.262103,
        0.256,
        0.243519,
        0.244678,
        0.248578,
        0.249514,
        0.250365,
        0.252624,
        0.266133,
        0.281077,
        0.29635,
        0.313264,
        0.339511,
        0.37229,
        0.398006,
        0.402897,
        0.384657,
        0.340719,
        0.322818,
        0.312346,
        0.30622,
        0.299759,
        0.292118,
        0.293416,
        0.299133,
        0.301717,
        0.306593,
        0.318548,
        0.32491,
        0.340161,
        0.363366,
        0.385906,
        0.427577,
        0.560425,
        0.42419,
        0.41199,
        0.412161,
        0.416635,
        0.41877,
        0.421342,
        0.437216,
        0.449844,
        0.46684,
        0.557624,
        0.898157,
        0.844675,
        0.747426,
        0.694018,
        0.731357,
        0.731776,
        0.707329,
        0.741393,
        0.805092,
        0.859366,
        0.948374,
        4.28767,
        14.693,
        3.30736,
        2.05292,
        1.66687,
        1.21594,
        1.28953,
        1.49969,
        1.62696,
        1.16787,
        1.24544,
        1.4596,
        1.71578,
        0.937879,
        0.972374,
        1.47145,
        1.31723,
        1.563,
        1.34282,
        1.43079,
        1.44279,
        1.37266,
        1.30158,
        1.15633,
        0.881652,
        0.736212,
        0.577862,
        0.506377,
        0.483695,
        0.49056,
        0.513587,
        0.550148,
        0.572069,
        0.574008,
        0.507523,
        0.460804,
        0.439776,
        0.407288,
        0.350991,
        0.336913,
        0.321739,
        0.306738,
        0.297037,
        0.293986,
        0.289008,
        0.28416,
        0.287351,
        0.293657,
        0.295962,
        0.300065,
        0.307166,
        0.308877,
        0.315522,
        0.318382,
        0.33502,
        0.35894,
        0.387389,
        0.416332,
        0.460808,
        1.04273,
        0.611762,
        0.531583,
        0.47502,
        0.42968,
        0.357231,
        0.337578,
        0.320278,
        0.306627,
        0.298353,
        0.290669,
        0.276956,
        0.267425,
        0.265561,
        0.269378,
        0.264071,
        0.252565,
        0.244091,
        0.241542,
        0.240468,
        0.238487,
        0.232185,
        0.239912,
        0.244338,
        0.238781,
        0.230393,
        0.219995,
        0.225194,
        0.228828,
        0.221427,
        0.21646,
        0.214172,
        0.215759,
        0.21346,
        0.212922,
        0.21401,
        0.212179,
        0.211504,
        0.211064,
        0.210365,
        0.207425,
        0.204085,
        0.208714,
        0.2087,
        0.203357,
        0.204024,
        0.201737,
        0.201285,
        0.199825,
        0.201926,
        0.201521,
        0.205996,
        0.203307,
        0.202392,
        0.202007,
        0.201098,
        0.200657,
        0.220884,
        0.221394,
        0.212288,
        0.211523,
        0.203435,
        0.222227,
        0.214941,
        0.204985,
        0.206452,
        0.205089,
        0.202237,
        0.200596,
        0.202253,
        0.205177,
        0.204409,
        0.205282,
        0.206895,
        0.205497,
        0.212423,
        0.204176,
        0.203488,
        0.202566,
        0.201387,
        0.203543,
        0.204907,
        0.202469,
        0.204023,
        0.214029,
        0.21368,
        0.200559,
        0.200486,
        0.202752,
        0.201145,
        0.197653,
        0.199181,
        0.199541,
        0.198349,
        0.197302,
        0.196463,
        0.195514,
        0.196442,
        0.197609,
        0.195783,
        0.19281,
        0.194509,
        0.193462,
        0.193817,
        0.193122,
        0.191861,
        0.191692,
        0.191524,
        0.191244,
        0.190683,
        0.190992,
        0.195358,
        0.196399,
        0.190429,
        0.193138,
        0.194406,
        0.195658,
        0.194177,
        0.19249,
        0.193963,
        0.194456,
        0.19447,
        0.205683,
        0.20876,
        0.198486,
        0.199345,
        0.198839,
        0.198322,
        0.198384,
        0.198508,
        0.200818,
        0.205196,
        0.202921,
        0.20451,
        0.205558,
        0.203345,
        0.208196,
        0.214709,
        0.206053,
        0.206101,
        0.206284,
        0.208068,
        0.212296,
        0.211681,
        0.212453,
        0.212337,
        0.220194,
        0.225205,
        0.223465,
        0.236246,
        0.228862,
        0.226512,
        0.227548,
        0.226276,
        0.22461,
        0.222164,
        0.217058,
        0.220296,
        0.222267,
        0.212791,
        0.209728,
        0.208297,
        0.21066,
        0.210574,
        0.209694,
        0.213377,
        0.211336,
        0.209427,
        0.209499,
        0.208848,
        0.213297,
        0.217619,
        0.21705,
        0.218189,
        0.219222,
        0.220865,
        0.222699,
        0.221988,
        0.222915,
        0.223847,
        0.223604,
        0.225655,
        0.222214,
        0.214956,
        0.210511,
        0.206787,
        0.20727,
        0.207091,
        0.206681,
        0.207414,
        0.202869,
        0.203111,
        0.205214,
        0.206339,
        0.206938,
        0.206291,
        0.208484,
        0.211194,
        0.20902,
        0.214769,
        0.213701,
        0.207853,
        0.208545,
        0.210502,
        0.209216,
        0.210328,
        0.213322,
        0.213987,
        0.209886,
        0.211801,
        0.212857,
        0.211346,
        0.210855,
        0.209256,
        0.214426,
        0.21364,
        0.209258,
        0.213222,
        0.216259,
        0.21218,
        0.21214,
        0.213367,
        0.214922,
        0.214213,
        0.21257,
        0.209076,
        0.207552,
        0.212137,
        0.216072,
        0.214467,
        0.20878,
        0.211236,
        0.209105,
        0.20856,
        0.208709,
        0.207294,
        0.206918,
        0.208072,
        0.208932,
        0.210764,
        0.21165,
        0.21151,
        0.208831,
        0.204652,
        0.206005,
        0.205067,
        0.205415,
        0.206947,
        0.208166,
        0.218439,
        0.221002,
        0.206594,
        0.205968,
        0.209245,
        0.210772,
        0.207648,
        0.205658,
        0.204609,
        0.206787,
        0.207531,
        0.206179,
        0.207057,
        0.204657,
        0.206282,
        0.208974,
        0.207782,
        0.20732,
        0.211721,
        0.213659,
        0.223859,
        0.23522,
        0.221946,
        0.213355,
        0.212383,
        0.217934,
        0.218115,
        0.218212,
        0.218745,
        0.21903,
        0.218822,
        0.238916,
        0.236489,
        0.215758,
        0.217236,
        0.224075,
        0.225914,
        0.220415,
        0.227188,
        0.22635,
        0.222302,
        0.225648,
        0.222339,
        0.217504,
        0.218481,
        0.220772,
        0.222674,
        0.223399,
        0.224782,
        0.222883,
        0.219747,
        0.217983,
        0.220505,
        0.221012,
        0.220565,
        0.219941,
        0.220409,
        0.217117,
        0.220982,
        0.225425,
        0.220044,
        0.21728,
        0.21671,
        0.218482,
        0.21918,
        0.21751,
        0.217219,
        0.217431,
        0.212537,
        0.213619,
        0.215052,
        0.214631,
        0.218891,
        0.21733,
        0.215665,
        0.215372,
        0.216261,
        0.222313,
        0.223123,
        0.220541,
        0.219628,
        0.220773,
        0.218543,
        0.220908,
        0.240217,
        0.239412,
        0.225691,
        0.225567,
        0.228631,
        0.226439,
        0.227091,
        0.22545,
        0.228015,
        0.229528,
        0.231592,
        0.234788,
        0.239559,
        0.245943,
        0.247839,
        0.247555,
        0.250752,
        0.255085,
        0.260311,
        0.269698,
        0.283417,
        0.312616,
        0.32826,
        0.32469,
        0.33157,
        0.322682,
        0.30307,
        0.29141,
        0.278956,
        0.270698,
        0.262446,
        0.259237,
        0.257826,
        0.256337,
        0.249935,
        0.244433,
        0.243861,
        0.240654,
        0.241807,
        0.239531,
        0.236321,
        0.236707,
        0.24249,
        0.242784,
        0.232679,
        0.230609,
        0.231866,
        0.230696,
        0.228867,
        0.229646,
        0.22995,
        0.227689,
        0.226556,
        0.225817,
        0.225457,
        0.227366,
        0.227891,
        0.227741,
        0.226458,
        0.228814,
        0.227852,
        0.22895,
        0.227293,
        0.226779,
        0.227165,
        0.230136,
        0.231858,
        0.232635,
        0.244008,
        0.241041,
        0.229503,
        0.231621,
        0.232661,
        0.232937,
        0.234268,
        0.23247,
        0.235526,
        0.236999,
        0.237,
        0.236863,
        0.238279,
        0.23395,
        0.239892,
        0.239321,
        0.23959,
        0.238591,
        0.237772,
        0.244568,
        0.246913,
        0.240312,
        0.242217,
        0.243303,
        0.242973,
        0.242508,
        0.24118,
        0.240067,
        0.241993,
        0.246546,
        0.246089,
        0.25059,
        0.253023,
        0.242952,
        0.243332,
        0.244887,
        0.243212,
        0.245351,
        0.245636,
        0.243791,
        0.241222,
        0.24386,
        0.242849,
        0.238714,
        0.239945,
        0.245314,
        0.243073,
        0.240022,
        0.237941,
        0.239482,
        0.238983,
        0.237015,
        0.240628,
        0.240708,
        0.237269,
        0.236148,
        0.237347,
        0.238606,
        0.238366,
        0.237928,
        0.235689,
        0.237124,
        0.234875,
        0.233932,
        0.234974,
        0.236167,
        0.236648,
        0.237249,
        0.238127,
        0.237384,
        0.240717,
        0.239537,
        0.237746,
        0.238196,
        0.245614,
        0.249125,
        0.238495,
        0.241524,
        0.239697,
        0.243089,
        0.24451,
        0.243533,
        0.246722,
        0.250241,
        0.248484,
        0.245381,
        0.246389,
        0.248318,
        0.246643,
        0.253273,
        0.253546,
        0.251914,
        0.251336,
        0.255328,
        0.253599,
        0.271655,
        0.276861,
        0.259363,
        0.265321,
        0.259334,
        0.256866,
        0.254901,
        0.252304,
        0.255206,
        0.258387,
        0.261668,
        0.265405,
        0.259275,
        0.257662,
        0.256656,
        0.255258,
        0.257408,
        0.2595,
        0.259811,
        0.260369,
        0.257343,
        0.257472,
        0.255861,
        0.258533,
        0.262185,
        0.263734,
        0.269075,
        0.269757,
        0.263259,
        0.261678,
        0.258937,
        0.258265,
        0.260251,
        0.262048,
        0.262569,
        0.263681,
        0.279957,
        0.285593,
        0.267402,
        0.267837,
        0.26872,
        0.271661,
        0.275556,
        0.278679,
        0.280526,
        0.288875,
        0.291632,
        0.284683,
        0.28873,
        0.29475,
        0.300942,
        0.313967,
        0.325972,
        0.336541,
        0.356389,
        0.381537,
        0.427406,
        0.457534,
        0.541012,
        0.632428,
        0.713137,
        0.877703,
        0.608671,
        0.512819,
        0.458531,
        0.416695,
        0.393017,
        0.377539,
        0.361734,
        0.333063,
        0.328259,
        0.326456,
        0.324715,
        0.31824,
        0.308217,
        0.304163,
        0.308187,
        0.310158,
        0.308969,
        0.305232,
        0.304912,
        0.302423,
        0.297284,
        0.292017,
        0.289039,
        0.294208,
        0.293969,
        0.288776,
        0.287748,
        0.293633,
        0.294246,
        0.289125,
        0.29131,
        0.287903,
        0.284383,
        0.284266,
        0.283733,
        0.28434,
        0.286011,
        0.28902,
        0.287379,
        0.284367,
        0.281925,
        0.283344,
        0.285443,
        0.286013,
        0.286445,
        0.284638,
        0.283418,
        0.282953,
        0.282816,
        0.284197,
        0.286877,
        0.293373,
        0.293172,
        0.289741,
        0.287035,
        0.285714,
        0.292657,
        0.297418,
        0.297179,
        0.294906,
        0.294571,
        0.295722,
        0.296852,
        0.298725,
        0.300694,
        0.304573,
        0.304133,
        0.302958,
        0.302124,
        0.30828,
        0.308496,
        0.307407,
        0.308947,
        0.30529,
        0.30409,
        0.303128,
        0.306963,
        0.308495,
        0.305109,
        0.304266,
        0.306036,
        0.309929,
        0.312554,
        0.308903,
        0.309633,
        0.316209,
        0.329508,
        0.306576,
        0.305155,
        0.305783,
        0.30732,
        0.307385,
        0.302105,
        0.301975,
        0.30099,
        0.30104,
        0.300093,
        0.309467,
        0.33199,
        0.32618,
        0.304505,
        0.301714,
        0.306996,
        0.305959,
        0.308536,
        0.310204,
        0.306626,
        0.308043,
        0.309618,
        null,
        null,
        8.00224,
        7.02411,
        4.77591,
        2.2972,
        2.09378,
        2.11719,
        1.79326,
        1.212,
        1.12887,
        1.1047,
        0.967265,
        0.941793,
        0.893242,
        0.876965,
        0.816724,
        0.814197,
        0.786538,
        0.762258,
        0.741734,
        0.720071,
        0.705079,
        0.699394,
        0.698129,
        0.675745,
        0.663997,
        0.669642,
        0.674801,
        0.689688,
        0.618338,
        0.624473,
        0.595081,
        0.587161,
        0.599488,
        0.59672,
        0.616013,
        0.593133,
        0.583329,
        0.581743,
        0.582408,
        0.577275,
        0.597674,
        0.609606,
        0.619391,
        0.776698,
        0.864785,
        0.954183,
        0.913679,
        0.690068,
        0.66384,
        0.654421,
        0.618371,
        0.572163,
        0.56936,
        0.5616,
        0.556089,
        0.540475,
        0.555852,
        0.547088,
        0.531883,
        0.534075,
        0.540671,
        0.543879,
        0.525773,
        0.524695,
        0.520909,
        0.518884,
        0.51939,
        0.520391,
        0.524023,
        0.505645,
        0.511669,
        0.52264,
        0.524656,
        0.509321,
        0.517074,
        0.523135,
        0.522182,
        0.526351,
        0.52177,
        0.527604,
        0.528451,
        0.525474,
        0.522247,
        0.527615,
        0.542007,
        0.552318,
        0.544407,
        0.544461,
        0.550641,
        0.552457,
        0.546781,
        0.529436,
        0.55449,
        0.581628,
        0.595881,
        0.593805,
        0.61663,
        0.605513,
        0.617806,
        0.614519,
        0.638047,
        0.660181,
        0.668587,
        0.680998,
        0.727232,
        0.778278,
        1.19586,
        1.02362,
        0.989466,
        0.850054,
        0.786842,
        0.734447,
        0.740626,
        0.710399,
        0.701212,
        0.679853,
        0.663454,
        0.679184,
        0.704179,
        0.729911,
        0.731924,
        0.740302,
        0.748514,
        0.781305,
        0.817561,
        0.860948,
        0.877205,
        0.91108,
        0.908135,
        1.09637,
        1.58386,
        2.34278,
        1.3547,
        1.25109,
        1.33652,
        1.42405,
        1.73823,
        1.43322,
        1.38645,
        1.27827,
        1.22274,
        1.19763,
        1.22109,
        1.26584,
        1.24027,
        1.27232,
        1.26363,
        1.41258,
        1.50423,
        1.47237,
        2.10239,
        2.22046,
        2.61512,
        2.9353,
        3.11893,
        4.96426,
        8.63514,
        8.01279,
        7.70915,
        null,
        22.8672,
        26.0585,
        7.56802,
        16.9553,
        10.79,
        4.48754,
        4.26673,
        3.21097,
        2.68332,
        2.9003,
        3.05926,
        2.635,
        2.47929,
        2.27482,
        2.05959,
        2.09295,
        2.16046,
        1.74071,
        1.73819,
        1.77024,
        1.64812,
        1.49127,
        1.19206,
        1.18917,
        1.12884,
        1.13094,
        1.06427,
        1.04207,
        1.01621,
        0.978837,
        0.884483,
        0.896158,
        0.901191,
        0.884111,
        0.881883,
        0.870084,
        0.782788,
        0.800941,
        0.807488,
        0.768778,
        0.758618,
        0.736375,
        0.74018,
        0.780635,
        0.748077,
        0.705081,
        0.689582,
        0.686631,
        0.66004,
        0.672612,
        0.687297,
        0.676928,
        0.651366,
        0.626622,
        0.641826,
        0.62091,
        0.64576,
        0.648517,
        0.648625,
        0.61522,
        0.604881,
        0.60508,
        0.623014,
        0.660253,
        0.661222,
        0.60014,
        0.588275,
        0.59189,
        0.60818,
        0.641994,
        0.588058,
        0.582136,
        0.572577,
        0.562013,
        0.540051,
        0.534592,
        0.539987,
        0.536048,
        0.516436,
        0.523428,
        0.523878,
        0.526097,
        0.514044,
        0.510449,
        0.538135,
        0.544606,
        0.521167,
        0.515509,
        0.509922,
        0.500954,
        0.501004,
        0.508033,
        0.5315,
        0.533235,
        0.50703,
        0.507395,
        0.496583,
        0.495039,
        0.509428,
        0.533025,
        0.52786,
        0.536864,
        0.596979,
        0.611268,
        0.621772,
        0.835748,
        0.939667,
        1.12784,
        2.67608,
        1.34492,
        0.905688,
        0.637491,
        0.598875,
        0.568611,
        0.598963,
        0.518124,
        0.493594,
        0.479397,
        0.472032,
        0.464116,
        0.460023,
        0.466283,
        0.459673,
        0.448027,
        0.441315,
        0.441825,
        0.438947,
        0.431767,
        0.430558,
        0.45884,
        0.467047,
        0.456921,
        0.521766,
        0.599207,
        0.669965,
        0.696576,
        0.659441,
        0.593885,
        0.520602,
        0.547768,
        0.629628,
        0.793033,
        1.06603,
        1.32144,
        1.27291,
        1.00654,
        0.599294,
        0.50983,
        0.467324,
        0.445111,
        0.433328,
        0.417061,
        0.402626,
        0.405009,
        0.397244,
        0.388565,
        0.385426,
        0.389472,
        0.386166,
        0.386999,
        0.382995,
        0.379041,
        0.384593,
        0.388444,
        0.400381,
        0.394071,
        0.381716,
        0.372206,
        0.369664,
        0.372462,
        0.372747,
        0.372599,
        0.378447,
        0.377173,
        0.369687,
        0.371683,
        0.380205,
        0.370296,
        0.380805,
        0.37728,
        0.369011,
        0.378687,
        0.376024,
        0.368328,
        0.368244,
        0.37289,
        0.372887,
        0.365644,
        0.365835,
        0.367116,
        0.358865,
        0.361184,
        0.364069,
        0.361811,
        0.365831,
        0.36628,
        0.369087,
        0.368102,
        0.365516,
        0.368068,
        0.362686,
        0.375566,
        0.389177,
        0.402734,
        0.411715,
        0.42339,
        0.450895,
        0.472389,
        1.37452,
        3.54444,
        0.568678,
        0.513642,
        0.485785,
        0.45111,
        0.428065,
        0.403073,
        0.384773,
        0.383561,
        0.379632,
        0.373364,
        0.372882,
        0.378084,
        0.373783,
        0.361491,
        0.358944,
        0.361175,
        0.351758,
        0.362124,
        0.364096,
        0.358274,
        0.352927,
        0.357269,
        0.355824,
        0.354063,
        0.356639,
        0.355193,
        0.370483,
        0.374586,
        0.343387,
        0.345522,
        0.348922,
        0.366851,
        0.362804,
        0.347561,
        0.34907,
        0.371314,
        0.374157,
        0.357853,
        0.364728,
        0.362275,
        0.35004,
        0.358422,
        0.369622,
        0.379463,
        0.375669,
        0.380519,
        0.394624,
        0.407394,
        0.410076,
        0.422641,
        0.450234,
        0.546333,
        0.609422,
        0.786216,
        0.998976,
        0.972078,
        0.912775,
        0.955929,
        1.02085,
        0.742016,
        0.443902,
        0.420904,
        0.418097,
        0.416097,
        0.40612,
        0.391603,
        0.379519,
        0.370407,
        0.377506,
        0.373689,
        0.356992,
        0.350726,
        0.341881,
        0.341382,
        0.338485,
        0.332835,
        0.325432,
        0.331894,
        0.333572,
        0.330679,
        0.329777,
        0.322975,
        0.320488,
        0.316821,
        0.31083,
        0.304536,
        0.31878,
        0.321391,
        0.315903,
        0.314798,
        0.311146,
        0.313009,
        0.31398,
        0.310654,
        0.304308,
        0.305507,
        0.31443,
        0.313331,
        0.305797,
        0.306588,
        0.310188,
        0.307961,
        0.305141,
        0.306136,
        0.304721,
        0.307111,
        0.31953,
        0.316554,
        0.311127,
        0.313067,
        0.320212,
        0.320598,
        0.309816,
        0.309798,
        0.306339,
        0.310695,
        0.335153,
        0.333401,
        0.310653,
        0.316561,
        0.312577,
        0.313209,
        0.312859,
        0.306832,
        0.310063,
        0.310105,
        0.333523,
        0.329751,
        0.32011,
        0.320935,
        0.32104,
        0.318398,
        0.314891,
        0.317272,
        0.31597,
        0.31683,
        0.317305,
        0.313898,
        0.31718,
        0.31258,
        0.313621,
        0.313408,
        0.315901,
        0.312151,
        0.312015,
        0.310393,
        0.310514,
        0.311919,
        0.313871,
        0.311611,
        0.308359,
        0.306159,
        0.308723,
        0.309973,
        0.309937,
        0.309227,
        0.305832,
        0.305341,
        0.308772,
        0.3098,
        0.314244,
        0.308902,
        0.304235,
        0.308343,
        0.316307,
        0.322738,
        0.319302,
        0.315841,
        0.314816,
        0.31558,
        0.319795,
        0.315676,
        0.32241,
        0.32699,
        0.315134,
        0.326924,
        0.334034,
        0.328893,
        0.327882,
        0.326551,
        0.357575,
        0.373956,
        0.343298,
        0.32952,
        0.325748,
        0.332164,
        0.341117,
        0.343155,
        0.336763,
        0.335747,
        0.335549,
        0.343262,
        0.347302,
        0.343635,
        0.344951,
        0.343777,
        0.346466,
        0.348432,
        0.349499,
        0.355103,
        0.352762,
        0.363613,
        0.372167,
        0.360193,
        0.359236,
        0.358229,
        0.36123,
        0.369685,
        0.378993,
        0.379293,
        0.380149,
        0.386847,
        0.396826,
        0.409334,
        0.422174,
        0.436524,
        0.44919,
        0.4773,
        0.522015,
        0.576114,
        0.624674,
        1.51446,
        0.529004,
        0.461318,
        0.451178,
        0.4224,
        0.409296,
        0.40007,
        0.38231,
        0.384488,
        0.379299,
        0.381658,
        0.375821,
        0.377391,
        0.376922,
        0.375512,
        0.376811,
        0.364837,
        0.363688,
        0.365643,
        0.365526,
        0.366932,
        0.372409,
        0.372219,
        0.367098,
        0.359661,
        0.358297,
        0.362482,
        0.362326,
        0.364879,
        0.360624,
        0.365736,
        0.371179,
        0.370872,
        0.369895,
        0.37077,
        0.370361,
        0.367593,
        0.402058,
        0.369604,
        0.36794,
        0.363037,
        0.366224,
        0.372639,
        0.375451,
        0.374611,
        0.370148,
        0.370822,
        0.364073,
        0.362623,
        0.367002,
        0.388283,
        0.382689,
        0.384782,
        0.384464,
        0.384048,
        0.387142,
        0.392544,
        0.391602,
        0.409299,
        0.410489,
        0.409479,
        0.425144,
        0.43807,
        0.464828,
        0.477881,
        0.49796,
        0.527618,
        0.557071,
        0.596561,
        0.603988,
        0.615703,
        0.579657,
        0.582006,
        0.56368,
        0.529663,
        0.516285,
        0.500073,
        0.488553,
        0.488658,
        0.486081,
        0.457747,
        0.458536,
        0.447018,
        0.44362,
        0.447328,
        0.462185,
        0.454139,
        0.453477,
        0.445875,
        0.446896,
        0.449665,
        0.454634,
        0.455469,
        0.450294,
        0.453629,
        0.477009,
        0.478564,
        0.454561,
        0.463201,
        0.465913,
        0.458532,
        0.458541,
        0.464417,
        0.469067,
        0.465486,
        0.458357,
        0.46226,
        0.459004,
        0.462686,
        0.465881,
        0.481661,
        0.504822,
        0.500833,
        0.48787,
        0.485735,
        0.479947,
        0.487695,
        0.49217,
        0.486485,
        0.491089,
        0.501281,
        0.504827,
        0.510192,
        0.510562,
        0.504971,
        0.513862,
        0.522008,
        0.520163,
        0.521207,
        0.527848,
        0.533794,
        0.535345,
        0.547419,
        0.569811,
        0.574586,
        0.602365,
        0.6404,
        0.673581,
        0.689439,
        0.684915,
        0.673303,
        0.683301,
        0.7234,
        0.736835,
        0.743159,
        0.778536,
        0.797221,
        0.939989,
        0.971654,
        1.116,
        1.28755,
        1.50266,
        1.97668,
        1.64124,
        1.03981,
        1.01828,
        1.00797,
        1.05332,
        1.08709,
        1.07727,
        1.14911,
        1.14846,
        1.20974,
        1.19364,
        1.20393,
        1.57233,
        1.47637,
        1.83069,
        2.13992,
        2.67502,
        2.36761,
        7.47925,
        7.13436,
        9.34256,
        12.4028,
        null,
        3.16622,
        3.5027,
        3.58291,
        2.44385,
        2.37168,
        2.57043,
        2.36892,
        2.14739,
        2.05088,
        1.75692,
        1.70359,
        1.68124,
        1.69469,
        1.57679,
        1.438,
        1.41483,
        1.36116,
        1.27998,
        1.24531,
        1.21889,
        1.30676,
        1.17327,
        1.18945,
        1.19187,
        1.23498,
        1.15115,
        1.17284,
        1.21761,
        1.16866,
        1.21144,
        1.22803,
        1.29714,
        1.2989,
        1.42729,
        3.00075,
        3.21839,
        2.95881,
        2.91137,
        5.36456,
        5.47781
    ]
}