GET /api/ishell_4510nm_5233nm_hd_169142/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.510111775328212,
        4.510132281166499,
        4.5101527870047855,
        4.5101732928430724,
        4.510255793076181,
        4.510276298914468,
        4.510296804752755,
        4.510317310591042,
        4.510337816429329,
        4.51039933394419,
        4.510419839782477,
        4.510440345620764,
        4.510460851459051,
        4.510563380650487,
        4.5105838864887735,
        4.51185143342289,
        4.51191247405779,
        4.511932979896077,
        4.511953008854404,
        4.511973514692691,
        4.511994020530978,
        4.512014526369265,
        4.512034555327592,
        4.51205506116588,
        4.512075567004167,
        4.5120960728424535,
        4.51211610180078,
        4.512136607639067,
        4.512177142435681,
        4.512197648273968,
        4.512218154112255,
        4.512238659950542,
        4.51225868890887,
        4.5122791947471566,
        4.5122997005854435,
        4.51231972954377,
        4.512340235382057,
        4.512360741220344,
        4.512380770178671,
        4.512401276016958,
        4.512441810813572,
        4.512462316651859,
        4.5124828224901465,
        4.513761337663346,
        4.513781366621672,
        4.513801395579999,
        4.513821901418287,
        4.513841930376613,
        4.5138624362149,
        4.513882465173227,
        4.513902971011515,
        4.513922999969841,
        4.513943028928168,
        4.513963534766455,
        4.513983563724782,
        4.514004069563069,
        4.5140240985213955,
        4.514044127479723,
        4.51406463331801,
        4.514084662276336,
        4.514105168114623,
        4.514125197072951,
        4.514145226031277,
        4.514165731869564,
        4.514185760827892,
        4.514206266666179,
        4.514226295624505,
        4.5142668304211195,
        4.514286859379446,
        4.514306888337773,
        4.51432739417606,
        4.515435663203481,
        4.515556313833402,
        4.515656935504997,
        4.5156769644633235,
        4.515696993421651,
        4.515737528218264,
        4.515757557176592,
        4.515777586134918,
        4.515797615093246,
        4.515817644051572,
        4.515837673009899,
        4.515857701968226,
        4.515877730926553,
        4.515897759884879,
        4.515918265723167,
        4.515938294681494,
        4.51595832363982,
        4.515978352598148,
        4.515998381556474,
        4.516018410514802,
        4.517299786967762,
        4.517339368004455,
        4.517359396962782,
        4.517379425921109,
        4.517399454879436,
        4.517419483837763,
        4.51743951279609,
        4.517459541754416,
        4.517479093832783,
        4.51749912279111,
        4.517519151749437,
        4.517539180707764,
        4.517559209666091,
        4.517579238624418,
        4.517598790702785,
        4.517618819661111,
        4.517638848619438,
        4.517658877577765,
        4.517678906536092,
        4.517698935494419,
        4.517738516531113,
        4.518057549224462,
        4.518077101302828,
        4.519150081213198,
        4.519190139129851,
        4.519308882239932,
        4.519328911198259,
        4.519348463276626,
        4.519368492234952,
        4.519388044313319,
        4.519408073271646,
        4.519427625350013,
        4.519605978455114,
        4.519626007413441,
        4.519645559491807,
        4.519665588450135,
        4.519685140528501,
        4.519705169486828,
        4.519724721565195,
        4.519744750523522,
        4.519764302601889,
        4.519784331560215,
        4.519803883638582,
        4.52055353893596,
        4.5213031942333375,
        4.521322746311704,
        4.521342298390071,
        4.521362327348397,
        4.521381879426764,
        4.521401431505131,
        4.521420983583497,
        4.521440535661864,
        4.521460564620191,
        4.521480116698558,
        4.521499668776925,
        4.521519220855292,
        4.521539249813618,
        4.5215588018919854,
        4.521578353970352,
        4.521597906048719,
        4.521617458127086,
        4.521637487085412,
        4.521657039163779,
        4.521676591242145,
        4.521696143320512,
        4.521715695398879,
        4.521735724357206,
        4.521755276435573,
        4.521774828513939,
        4.521794380592306,
        4.521813932670673,
        4.521833484749039,
        4.5218535137073665,
        4.522950337615743,
        4.52296988969411,
        4.522989441772476,
        4.523008993850843,
        4.52302854592921,
        4.5230480980075765,
        4.5230676500859435,
        4.5230872021643105,
        4.523106754242677,
        4.523126306321044,
        4.523145858399411,
        4.523165410477777,
        4.523184962556144,
        4.523204514634511,
        4.523224066712877,
        4.523243618791244,
        4.523263170869611,
        4.523282722947977,
        4.523302275026344,
        4.523321350224751,
        4.523340902303118,
        4.523360454381484,
        4.523380006459851,
        4.523399558538218,
        4.523419110616584,
        4.523438662694951,
        4.523458214773318,
        4.523477766851684,
        4.523497318930051,
        4.523516871008418,
        4.523536423086784,
        4.523555975165151,
        4.523575050363558,
        4.523594602441925,
        4.523614154520291,
        4.523633706598658,
        4.523653258677025,
        4.523672810755391,
        4.523692362833758,
        4.523711914912125,
        4.523731466990491,
        4.523750542188898,
        4.523770094267265,
        4.523789646345632,
        4.523828750502365,
        4.523848302580732,
        4.523867854659098,
        4.523886929857505,
        4.524801108741139,
        4.524820660819506,
        4.524840212897873,
        4.5248592880962795,
        4.524878840174646,
        4.524898392253013,
        4.52491794433138,
        4.524937019529786,
        4.524956571608152,
        4.524976123686519,
        4.524995198884926,
        4.525014750963293,
        4.525034303041659,
        4.525053378240066,
        4.525072930318433,
        4.5250924823968,
        4.525111557595206,
        4.5251311096735725,
        4.5251506617519395,
        4.525169736950346,
        4.525189289028712,
        4.525208841107079,
        4.525227916305486,
        4.525247468383853,
        4.525267020462219,
        4.525286095660626,
        4.525305647738993,
        4.52532519981736,
        4.525344275015766,
        4.525363827094132,
        4.525382902292539,
        4.525402454370906,
        4.525422006449273,
        4.5254410816476796,
        4.525460633726046,
        4.525480185804413,
        4.525499261002819,
        4.525518813081186,
        4.525537888279592,
        4.525557440357959,
        4.525576992436326,
        4.525596067634733,
        4.525615619713099,
        4.525634694911505,
        4.525654246989872,
        4.525673799068239,
        4.525692874266646,
        4.525770128820192,
        4.525789680898559,
        4.5258092329769255,
        4.526793513214704,
        4.52681306529307,
        4.526832140491477,
        4.526851692569844,
        4.5268707677682505,
        4.526889842966657,
        4.526909395045024,
        4.526928470243431,
        4.526948022321797,
        4.526967097520203,
        4.52698617271861,
        4.527005724796977,
        4.527024799995384,
        4.52704435207375,
        4.527063427272156,
        4.527082502470563,
        4.52710205454893,
        4.527121129747337,
        4.527140204945743,
        4.527159757024109,
        4.527178832222516,
        4.5271979074209225,
        4.5272174594992896,
        4.527236534697696,
        4.527256086776063,
        4.52727516197447,
        4.527294237172876,
        4.5273137892512425,
        4.527332864449649,
        4.527351939648056,
        4.527371491726423,
        4.527390566924829,
        4.527409642123236,
        4.527429194201602,
        4.527448269400009,
        4.527467344598415,
        4.527486419796822,
        4.527505971875189,
        4.5275250470735955,
        4.527544122272002,
        4.527563674350368,
        4.527582749548775,
        4.527601824747181,
        4.527621376825548,
        4.527640452023955,
        4.527659527222362,
        4.527678602420768,
        4.527698154499134,
        4.527717229697541,
        4.527736304895948,
        4.528675758417471,
        4.528694833615877,
        4.528713908814284,
        4.52873346089265,
        4.528752536091057,
        4.528771611289463,
        4.52879068648787,
        4.528809761686277,
        4.528828836884683,
        4.52884791208309,
        4.528866987281496,
        4.528886062479903,
        4.52890561455827,
        4.528924689756677,
        4.528943764955083,
        4.52896284015349,
        4.5289819153518955,
        4.529000990550302,
        4.529020065748709,
        4.529039140947115,
        4.529058216145522,
        4.529077291343929,
        4.529096366542335,
        4.529115918620702,
        4.529134993819109,
        4.529154069017515,
        4.529173144215922,
        4.529192219414329,
        4.529211294612735,
        4.529230369811141,
        4.5292494450095475,
        4.529268520207954,
        4.529287595406361,
        4.529306670604767,
        4.529325745803174,
        4.5293448210015805,
        4.529363896199987,
        4.529382971398394,
        4.5294020465968,
        4.529421121795207,
        4.5294401969936136,
        4.52945927219202,
        4.529478347390427,
        4.529497422588833,
        4.52951649778724,
        4.529535572985647,
        4.529554648184053,
        4.529573723382459,
        4.5295927985808655,
        4.529611873779272,
        4.529630948977679,
        4.53062095177498,
        4.530640026973385,
        4.530659102171792,
        4.530677700490239,
        4.530696775688646,
        4.530715850887052,
        4.530734926085458,
        4.5307540012838645,
        4.530773076482271,
        4.530791674800718,
        4.530810749999125,
        4.5308298251975305,
        4.530848900395937,
        4.530867975594344,
        4.530886573912791,
        4.530905649111197,
        4.530924724309603,
        4.53094379950801,
        4.530962874706416,
        4.530981473024863,
        4.53100054822327,
        4.531019623421676,
        4.531038698620082,
        4.531057773818489,
        4.531076372136936,
        4.531095447335343,
        4.531114522533748,
        4.531133597732155,
        4.531152196050602,
        4.531171271249009,
        4.531190346447415,
        4.531209421645821,
        4.531228019964268,
        4.531247095162675,
        4.531266170361081,
        4.531285245559488,
        4.531303843877934,
        4.531322919076341,
        4.531341994274747,
        4.531361069473154,
        4.5313796677916,
        4.531398742990007,
        4.531417818188413,
        4.53143689338682,
        4.531531315618932,
        4.531550390817339,
        4.531568989135785,
        4.5315880643341915,
        4.531607139532598,
        4.531644813049451,
        4.531682963446264,
        4.532627185767389,
        4.532646260965795,
        4.532664859284242,
        4.532683934482648,
        4.532872302066913,
        4.53289137726532,
        4.532909975583766,
        4.5329290507821725,
        4.532947649100619,
        4.532966724299025,
        4.5329853226174714,
        4.533004397815878,
        4.533022996134324,
        4.533042071332731,
        4.533060669651178,
        4.5330797448495845,
        4.533098343168031,
        4.533117418366437,
        4.5331360166848835,
        4.53315461500333,
        4.533173690201736,
        4.533286710752296,
        4.533305309070742,
        4.533324384269148,
        4.533342982587595,
        4.533361580906041,
        4.533380656104447,
        4.533399254422894,
        4.5334183296213,
        4.533436927939747,
        4.533456003138153,
        4.5334746014566,
        4.533493199775046,
        4.533512274973453,
        4.533530873291899,
        4.533549948490306,
        4.533568546808752,
        4.533587145127198,
        4.533606220325605,
        4.533624818644052,
        4.533643893842458,
        4.533756437513056,
        4.534562364645733,
        4.53458143984414,
        4.534600038162586,
        4.534618636481033,
        4.534637234799479,
        4.534656309997886,
        4.534674908316332,
        4.534693506634778,
        4.534712104953225,
        4.534731180151631,
        4.534749778470078,
        4.5347683767885245,
        4.534786975106971,
        4.534805573425417,
        4.5348246486238235,
        4.53484324694227,
        4.534861845260717,
        4.534880443579163,
        4.53489951877757,
        4.534918117096016,
        4.534936715414462,
        4.535179447314186,
        4.535198045632632,
        4.535217120831039,
        4.535235719149485,
        4.535254317467931,
        4.535272915786377,
        4.5352915141048245,
        4.535310112423271,
        4.535328710741717,
        4.535347785940123,
        4.53536638425857,
        4.535384982577017,
        4.535403580895463,
        4.535422179213909,
        4.535440777532355,
        4.5354593758508015,
        4.535477974169249,
        4.535497049367655,
        4.535515647686101,
        4.535534246004548,
        4.535552844322994,
        4.53557144264144,
        4.535590040959887,
        4.535608639278333,
        4.535627237596779,
        4.535645835915226,
        4.535664911113632,
        4.535683509432078,
        4.5357021077505255,
        4.535720706068972,
        4.53655810727902,
        4.5365762287175055,
        4.536594827035952,
        4.536650621991291,
        4.536669220309737,
        4.53691052156958,
        4.536929119888027,
        4.5369477182064735,
        4.53696631652492,
        4.536984914843366,
        4.537003513161812,
        4.537022111480259,
        4.537040232918745,
        4.537058831237191,
        4.537077429555638,
        4.537096027874084,
        4.537114626192531,
        4.537133224510977,
        4.537151822829424,
        4.53717042114787,
        4.537188542586356,
        4.537207140904802,
        4.537225739223249,
        4.537244337541695,
        4.5372629358601415,
        4.537281534178588,
        4.537299655617074,
        4.537318253935521,
        4.537336852253967,
        4.537355450572414,
        4.53737404889086,
        4.537392647209306,
        4.537410768647792,
        4.537429366966239,
        4.537447965284685,
        4.5374665636031315,
        4.537485161921578,
        4.537503760240025,
        4.537521881678511,
        4.537540479996957,
        4.537559078315403,
        4.53757767663385,
        4.537596274952296,
        4.537614396390782,
        4.537632994709229,
        4.537651593027675,
        4.5376701913461215,
        4.537688789664568,
        4.537706911103054,
        4.5377255094215005,
        4.537744107739947,
        4.537762706058393,
        4.537799425815326,
        4.538758908295176,
        4.538777506613622,
        4.538796104932069,
        4.538814226370555,
        4.538832824689001,
        4.5388509461274875,
        4.538869544445934,
        4.53888814276438,
        4.538906264202867,
        4.538924862521313,
        4.538942983959799,
        4.538961582278246,
        4.538980180596692,
        4.538998302035178,
        4.539016900353625,
        4.5390350217921105,
        4.539053620110557,
        4.539071741549043,
        4.5390903398674896,
        4.539108938185936,
        4.539127059624422,
        4.539145657942869,
        4.539163779381354,
        4.5391823776998015,
        4.539200499138287,
        4.5392190974567335,
        4.53923721889522,
        4.539255817213666,
        4.539402696241397,
        4.539421294559843,
        4.53943941599833,
        4.539458014316776,
        4.539476135755262,
        4.539494734073709,
        4.539512855512195,
        4.539531453830641,
        4.5395495752691275,
        4.539568173587574,
        4.53958629502606,
        4.539604893344507,
        4.539623014782992,
        4.539641613101439,
        4.539659734539925,
        4.539678332858371,
        4.539696454296858,
        4.539715052615304,
        4.53973317405379,
        4.539751772372237,
        4.539769893810723,
        4.539788492129169,
        4.539806613567656,
        4.539825211886102,
        4.540630662138819,
        4.5406673818957515,
        4.540685503334238,
        4.540703624772724,
        4.54072222309117,
        4.540740344529657,
        4.540758465968143,
        4.540777064286589,
        4.5407951857250755,
        4.540813307163561,
        4.540831428602048,
        4.540850026920494,
        4.540868148358981,
        4.540886269797467,
        4.540904868115913,
        4.540922989554399,
        4.540941110992885,
        4.540959709311332,
        4.540977830749818,
        4.540995952188305,
        4.5410140736267905,
        4.541032671945237,
        4.541050793383723,
        4.541068914822209,
        4.541087036260696,
        4.541105634579142,
        4.541123756017629,
        4.5411418774561145,
        4.541159998894601,
        4.541178597213047,
        4.541196718651533,
        4.54121484009002,
        4.541232961528506,
        4.541251559846952,
        4.5412696812854385,
        4.541287802723924,
        4.541305924162411,
        4.541324522480857,
        4.541342643919344,
        4.54136076535783,
        4.541378886796316,
        4.5413974851147625,
        4.541415606553248,
        4.541433727991735,
        4.541451849430221,
        4.541469970868707,
        4.541488569187154,
        4.54150669062564,
        4.541524812064126,
        4.541542933502613,
        4.5415610549410985,
        4.541579653259545,
        4.541597774698031,
        4.541615896136517,
        4.541634017575004,
        4.54165213901349,
        4.541670260451976,
        4.5416888587704225,
        4.541706980208909,
        4.541725101647395,
        4.541743223085882,
        4.541761344524367,
        4.541779465962854,
        4.5417980642813,
        4.541816185719786,
        4.541834307158273,
        4.5418524285967585,
        4.541870550035245,
        4.542633557971508,
        4.542651679409993,
        4.54266980084848,
        4.542687922286966,
        4.5427060437254525,
        4.542724165163938,
        4.542742286602425,
        4.542760408040911,
        4.542778529479397,
        4.542796650917883,
        4.54281477235637,
        4.542832893794856,
        4.542851015233342,
        4.542869136671828,
        4.542887258110315,
        4.542905379548801,
        4.542923500987286,
        4.542941622425773,
        4.542959266984299,
        4.542977388422785,
        4.542995509861272,
        4.5430136312997575,
        4.543031752738244,
        4.54304987417673,
        4.543067995615217,
        4.5430861170537025,
        4.543104238492189,
        4.543122359930675,
        4.543140481369162,
        4.543158602807647,
        4.543176724246134,
        4.54319484568462,
        4.5432129671231065,
        4.543231088561592,
        4.543249210000079,
        4.543267331438565,
        4.543284975997091,
        4.543303097435578,
        4.5433212188740635,
        4.543339340312549,
        4.543357461751036,
        4.543375583189522,
        4.543393704628008,
        4.543411826066494,
        4.543429947504981,
        4.543448068943467,
        4.543466190381953,
        4.54348383494048,
        4.543501956378965,
        4.543520077817452,
        4.543538199255938,
        4.5435563206944245,
        4.54357444213291,
        4.543592563571397,
        4.543610685009883,
        4.543628329568409,
        4.543646451006896,
        4.5436645724453815,
        4.543682693883868,
        4.543700815322354,
        4.54371893676084,
        4.543737058199326,
        4.543754702757853,
        4.543772824196338,
        4.543790945634825,
        4.543809067073311,
        4.543827188511798,
        4.543845309950283,
        4.54386295450881,
        4.543881075947296,
        4.543899197385782,
        4.544655529002602,
        4.544673650441088,
        4.544691294999614,
        4.5447094164381,
        4.544727537876587,
        4.544745182435113,
        4.544763303873599,
        4.5447814253120855,
        4.544799546750571,
        4.544817191309098,
        4.544835312747583,
        4.54485343418607,
        4.544871078744596,
        4.544889200183082,
        4.544907321621569,
        4.544924966180095,
        4.544943087618581,
        4.5449612090570675,
        4.544978853615593,
        4.5449969750540795,
        4.545014619612606,
        4.545032741051092,
        4.545050862489578,
        4.545068507048104,
        4.54508662848659,
        4.545104749925076,
        4.545122394483602,
        4.545140515922089,
        4.545158160480614,
        4.545176281919101,
        4.545194403357587,
        4.545212047916113,
        4.5452301693546,
        4.545248290793086,
        4.545265935351612,
        4.545284056790098,
        4.545301701348624,
        4.5453198227871106,
        4.545337944225596,
        4.545355588784123,
        4.545373710222608,
        4.545391354781135,
        4.545409476219621,
        4.545427120778148,
        4.545445242216633,
        4.54546336365512,
        4.545481008213645,
        4.545499129652132,
        4.545516774210658,
        4.545534895649144,
        4.54555254020767,
        4.545570661646156,
        4.545588783084643,
        4.545606427643169,
        4.545624549081655,
        4.545642193640181,
        4.545660315078667,
        4.545677959637193,
        4.54569608107568,
        4.545713725634205,
        4.545731847072692,
        4.545749491631218,
        4.545767613069704,
        4.54578525762823,
        4.545803379066716,
        4.545821023625242,
        4.545839145063729,
        4.5467495089076815,
        4.546767153466208,
        4.5467852749046935,
        4.54680291946322,
        4.546820564021746,
        4.546838685460232,
        4.546856330018758,
        4.546874451457245,
        4.54689209601577,
        4.546909740574296,
        4.546927862012783,
        4.546945506571309,
        4.546963151129835,
        4.546981272568321,
        4.546998917126848,
        4.547016561685373,
        4.547034206243899,
        4.547052327682386,
        4.547069972240911,
        4.547087616799438,
        4.547105738237924,
        4.54712338279645,
        4.547141027354976,
        4.547159148793463,
        4.547176793351988,
        4.547194437910514,
        4.5472120824690405,
        4.547230203907527,
        4.547247848466053,
        4.547265493024579,
        4.5472836144630655,
        4.547301259021591,
        4.547318903580117,
        4.547336548138643,
        4.547354669577129,
        4.5473723141356555,
        4.547389958694182,
        4.547407603252708,
        4.547425724691194,
        4.54744336924972,
        4.547461013808246,
        4.547478658366773,
        4.547496779805258,
        4.547514424363785,
        4.547532068922311,
        4.547549713480836,
        4.5475673580393625,
        4.547585479477849,
        4.547603124036375,
        4.548507288440846,
        4.5494467419623685,
        4.5494672478006555,
        4.549488230518903,
        4.54950873635719,
        4.549529719075437,
        4.5495507017936845,
        4.549571207631971,
        4.549592190350219,
        4.549612696188506,
        4.549633678906753,
        4.54965418474504,
        4.549675167463287,
        4.549695673301574,
        4.5500065990356005,
        4.550027581753848,
        4.550048087592135,
        4.550068593430423,
        4.550089576148669,
        4.550110081986956,
        4.550131064705203,
        4.55015157054349,
        4.550172076381778,
        4.550193059100025,
        4.550255053494846,
        4.550978480394415,
        4.5510194920709885,
        4.551040474789236,
        4.551060980627523,
        4.55108148646581,
        4.551101992304098,
        4.551122975022344,
        4.551143480860632,
        4.551163986698919,
        4.551184492537206,
        4.551205475255453,
        4.55122598109374,
        4.551246486932027,
        4.551266992770314,
        4.551287498608601,
        4.551308481326848,
        4.551328987165135,
        4.551349493003422,
        4.551369998841709,
        4.551390504679996,
        4.551411487398243,
        4.55143199323653,
        4.551452499074817,
        4.551473004913105,
        4.551493510751392,
        4.551514493469639,
        4.551534999307926,
        4.551555505146213,
        4.5515760109845,
        4.551596516822787,
        4.551884552318726,
        4.551905058157013,
        4.5519255639953,
        4.551946069833587,
        4.551967052551834,
        4.551987558390121,
        4.552008064228408,
        4.552028570066696,
        4.552049075904983,
        4.55206958174327,
        4.552090087581557,
        4.552110593419844,
        4.552131099258131,
        4.552151605096418,
        4.552172110934705,
        4.5521926167729925,
        4.552213599491239,
        4.552234105329526,
        4.552254611167814,
        4.552275117006101,
        4.552295622844388,
        4.5523161286826745,
        4.5523366345209615,
        4.552357140359248,
        4.552377646197535,
        4.552398152035822,
        4.55241865787411,
        4.553094873657622,
        4.553155914292523,
        4.55317642013081,
        4.553196925969097,
        4.5532379376456715,
        4.5532584434839585,
        4.553278949322245,
        4.553299455160532,
        4.553319960998819,
        4.553339989957147,
        4.553360495795434,
        4.553381001633721,
        4.553401507472008,
        4.5534220133102945,
        4.5534425191485814,
        4.553463024986868,
        4.553483053945196,
        4.553503559783483,
        4.55352406562177,
        4.553544571460057,
        4.5538097167179075,
        4.553830222556194,
        4.553850728394482,
        4.553871234232769,
        4.553891263191096,
        4.553911769029383,
        4.55393227486767,
        4.5539527807059565,
        4.553973286544244,
        4.553993315502571,
        4.554013821340858,
        4.554034327179145,
        4.554054833017432,
        4.554074861975759,
        4.554095367814046,
        4.554115873652333,
        4.55413637949062,
        4.5541564084489465,
        4.554176914287234,
        4.554197420125521,
        4.554217449083848,
        4.554237954922135,
        4.554258460760422,
        4.554278966598709,
        4.554298995557036,
        4.554319501395323,
        4.55434000723361,
        4.5543600361919365,
        4.5543805420302235,
        4.554401047868511,
        4.554421076826838,
        4.554441582665125,
        4.554462088503412,
        4.554482117461739,
        4.554502623300026,
        4.554523129138313,
        4.55454315809664,
        4.5545636639349265,
        4.5545841697732135,
        4.555193622362303,
        4.55521412820059,
        4.555234157158917,
        4.555254662997204,
        4.555274691955531,
        4.555295197793818,
        4.555315226752145,
        4.555335732590432,
        4.555355761548759,
        4.555376267387046,
        4.555396296345373,
        4.55541680218366,
        4.555436831141987,
        4.5554573369802736,
        4.555477365938601,
        4.555497871776888,
        4.555761109514898,
        4.555781615353185,
        4.555801644311512,
        4.555822150149799,
        4.555842179108126,
        4.555862208066453,
        4.55588271390474,
        4.555902742863067,
        4.555923248701354,
        4.555943277659681,
        4.555963783497968,
        4.555983812456295,
        4.5560043182945815,
        4.556024347252909,
        4.5560443762112355,
        4.556064882049522,
        4.55608491100785,
        4.556105416846137,
        4.556125445804463,
        4.556145474762791,
        4.556165980601078,
        4.556186009559404,
        4.556206515397691,
        4.556226544356019,
        4.556246573314345,
        4.556267079152632,
        4.5562871081109595,
        4.556307137069286,
        4.556327642907573,
        4.5563476718658995,
        4.556368177704187,
        4.556388206662514,
        4.55640823562084,
        4.556428741459127,
        4.556448770417455,
        4.556468799375781,
        4.556489305214068,
        4.556509334172396,
        4.556529363130722,
        4.556549868969009,
        4.556569897927337,
        4.556589926885663,
        4.55661043272395,
        4.5566304616822775,
        4.556650490640604,
        4.556670996478891,
        4.5566910254372175,
        4.556711054395545,
        4.556731560233832,
        4.556751589192158,
        4.556771618150486,
        4.556791647108812,
        4.556812152947099,
        4.556832181905427,
        4.557718224871411,
        4.557738253829737,
        4.557758282788065,
        4.557778311746391,
        4.557798340704719,
        4.557818369663045,
        4.557838398621372,
        4.55785890445966,
        4.557878933417986,
        4.557898962376313,
        4.55791899133464,
        4.557939020292967,
        4.557959049251294,
        4.557979078209621,
        4.557999107167947,
        4.5580191361262745,
        4.558039165084601,
        4.558059670922888,
        4.558079699881215,
        4.558099728839542,
        4.5581197577978685,
        4.558139786756196,
        4.5581598157145224,
        4.55817984467285,
        4.558199873631176,
        4.558219902589503,
        4.55823993154783,
        4.558259960506157,
        4.558279989464484,
        4.558300018422811,
        4.558320047381137,
        4.558340553219424,
        4.558360582177752,
        4.558380611136078,
        4.558400640094406,
        4.558420669052732,
        4.558440698011059,
        4.558460726969386,
        4.558480755927713,
        4.55850078488604,
        4.558520813844367,
        4.558540842802693,
        4.558560871761021,
        4.558580900719347,
        4.558600929677675,
        4.558620958636001,
        4.558640987594328,
        4.558661016552655,
        4.558681045510982,
        4.558701074469308,
        4.558721103427636,
        4.558741132385962,
        4.5587611613442895,
        4.558781190302616,
        4.558801219260943,
        4.55882124821927,
        4.558841277177597,
        4.558861306135924,
        4.5588813350942505,
        4.558901364052577,
        4.558920916130944,
        4.558940945089271,
        4.558960974047598,
        4.558981003005925,
        4.559001031964252,
        4.559760224860833,
        4.559779776939199,
        4.559799805897526,
        4.559819834855853,
        4.5598398638141795,
        4.559859892772507,
        4.5598799217308335,
        4.5598994738092005,
        4.559919502767527,
        4.559939531725854,
        4.559959560684181,
        4.559979589642508,
        4.5599991417208745,
        4.560019170679202,
        4.5600391996375285,
        4.560059228595855,
        4.560078780674222,
        4.5600988096325485,
        4.560118838590876,
        4.5601388675492025,
        4.5601584196275695,
        4.560178448585896,
        4.5601984775442235,
        4.56021850650255,
        4.560238058580917,
        4.5602580875392436,
        4.560278116497571,
        4.5602981454558975,
        4.5603176975342645,
        4.560337726492591,
        4.560357755450918,
        4.560377784409245,
        4.560397336487611,
        4.560417365445939,
        4.560437394404265,
        4.560456946482632,
        4.560476975440959,
        4.560497004399286,
        4.560517033357613,
        4.56053658543598,
        4.560556614394306,
        4.560576643352633,
        4.560596195431,
        4.560616224389327,
        4.560636253347654,
        4.560655805426021,
        4.560675834384347,
        4.560695863342674,
        4.560715415421041,
        4.560735444379367,
        4.560755473337695,
        4.560775025416062,
        4.560795054374388,
        4.560815083332715,
        4.560834635411082,
        4.560854664369408,
        4.560874693327736,
        4.560894245406102,
        4.560914274364429,
        4.560934303322756,
        4.560953855401123,
        4.560973884359449,
        4.560993913317777,
        4.561013465396143,
        4.56103349435447,
        4.5610530464328365,
        4.561073075391164,
        4.5610931043494904,
        4.5611126564278575,
        4.561132685386184,
        4.561152237464551,
        4.5611722664228775,
        4.561192295381205,
        4.561211847459571,
        4.561806516769896,
        4.561826068848262,
        4.56184609780659,
        4.561865649884956,
        4.561885678843283,
        4.561905230921649,
        4.561925259879977,
        4.561944811958344,
        4.56196484091667,
        4.561984392995037,
        4.562003945073403,
        4.562023974031731,
        4.562043526110097,
        4.562063555068424,
        4.56208310714679,
        4.562103136105118,
        4.562122688183484,
        4.562142717141811,
        4.562162269220178,
        4.562182298178505,
        4.562201850256872,
        4.562221402335238,
        4.5622414312935655,
        4.562260983371932,
        4.562281012330259,
        4.562300564408625,
        4.562320593366953,
        4.562340145445319,
        4.562359697523686,
        4.562379726482013,
        4.562399278560379,
        4.562419307518707,
        4.562438859597073,
        4.56245841167544,
        4.562478440633766,
        4.562497992712133,
        4.56251802167046,
        4.562537573748827,
        4.562557125827194,
        4.5625771547855205,
        4.5625967068638875,
        4.562616735822214,
        4.562636287900581,
        4.562655839978947,
        4.562675868937275,
        4.562695421015642,
        4.562714973094008,
        4.562735002052335,
        4.562754554130701,
        4.562774106209068,
        4.562794135167395,
        4.562813687245762,
        4.562833716204088,
        4.562853268282455,
        4.562872820360822,
        4.562892849319149,
        4.562912401397516,
        4.562931953475882,
        4.5629519824342095,
        4.5629715345125765,
        4.562991086590943,
        4.56301063866931,
        4.563030667627636,
        4.563050219706003,
        4.56306977178437,
        4.563089800742697,
        4.563109352821064,
        4.56312890489943,
        4.563148933857757,
        4.5631684859361235,
        4.5631880380144905,
        4.5632075900928575,
        4.563227619051184,
        4.563247171129551,
        4.563266723207917,
        4.563286752166245,
        4.563306304244611,
        4.563325856322978,
        4.563345408401345,
        4.563365437359671,
        4.563384989438038,
        4.563404541516405,
        4.563444122553099,
        4.563876175797007,
        4.563896204755334,
        4.5639157568337,
        4.563935308912067,
        4.563954860990434,
        4.5639744130688005,
        4.5639939651471675,
        4.564013994105494,
        4.564033546183861,
        4.564053098262228,
        4.564072650340594,
        4.564092202418961,
        4.564111754497328,
        4.564131783455655,
        4.564151335534022,
        4.564170887612388,
        4.564190439690755,
        4.564209991769122,
        4.564229543847488,
        4.564249095925855,
        4.564268648004222,
        4.564288676962549,
        4.564308229040916,
        4.564327781119282,
        4.564347333197649,
        4.564366885276016,
        4.564386437354382,
        4.564405989432749,
        4.564425541511116,
        4.564445093589483,
        4.5644651225478095,
        4.5644846746261765,
        4.564504226704543,
        4.56452377878291,
        4.564543330861277,
        4.564562882939643,
        4.56458243501801,
        4.564601987096377,
        4.564621539174743,
        4.56464109125311,
        4.564660643331477,
        4.564680195409843,
        4.56469974748821,
        4.564719776446537,
        4.564739328524904,
        4.564758880603271,
        4.564778432681637,
        4.564797984760004,
        4.564817536838371,
        4.564837088916737,
        4.564856640995104,
        4.564876193073471,
        4.564895745151837,
        4.564915297230204,
        4.564934849308571,
        4.564954401386937,
        4.564973953465304,
        4.564993505543671,
        4.565013057622037,
        4.565032609700404,
        4.565052161778771,
        4.5650717138571375,
        4.5650912659355045,
        4.5651108180138715,
        4.565130370092238,
        4.565149922170605,
        4.565169474248972,
        4.565189026327338,
        4.565208578405705,
        4.565228130484072,
        4.565247682562438,
        4.565267234640805,
        4.565286786719172,
        4.565306338797538,
        4.565325890875905,
        4.565345442954272,
        4.565364995032638,
        4.565384547111005,
        4.565404099189372,
        4.565423651267738,
        4.565443203346105,
        4.565462755424472,
        4.565481830622879,
        4.565501382701245,
        4.566047410255633,
        4.566066962334,
        4.566086514412366,
        4.566106066490733,
        4.5661256185691,
        4.5661451706474665,
        4.5661647227258335,
        4.56618379792424,
        4.566203350002606,
        4.566222902080973,
        4.56624245415934,
        4.566262006237706,
        4.566281558316073,
        4.56630063351448,
        4.566320185592847,
        4.566339737671213,
        4.56635928974958,
        4.566378841827947,
        4.566397917026354,
        4.56641746910472,
        4.566437021183087,
        4.566456573261454,
        4.56647612533982,
        4.566670215483607,
        4.566689767561974,
        4.56670931964034,
        4.566728871718707,
        4.566747946917114,
        4.566767498995481,
        4.566787051073847,
        4.566806603152214,
        4.566825678350621,
        4.566845230428987,
        4.566864782507354,
        4.566884334585721,
        4.5669034097841275,
        4.566922961862494,
        4.566942513940861,
        4.566961589139267,
        4.566981141217634,
        4.567000693296,
        4.567020245374367,
        4.567039320572774,
        4.567058872651141,
        4.567078424729507,
        4.567097499927914,
        4.567117052006281,
        4.567136604084648,
        4.567155679283054,
        4.5671752313614205,
        4.5671947834397875,
        4.5672143355181545,
        4.567233410716561,
        4.567252962794927,
        4.567272514873294,
        4.567291590071701,
        4.567311142150067,
        4.567330694228434,
        4.567349769426841,
        4.567369321505208,
        4.567388873583574,
        4.56740794878198,
        4.567427500860347,
        4.567446576058754,
        4.567466128137121,
        4.567485680215487,
        4.567504755413894,
        4.567524307492261,
        4.567543859570628,
        4.567562934769034,
        4.5675824868474,
        4.567834279466367,
        4.5678533546647735,
        4.5678729067431405,
        4.5678924588215075,
        4.567911534019914,
        4.56793108609828,
        4.567950161296687,
        4.568317835745973,
        4.56833691094438,
        4.568356463022747,
        4.5683755382211535,
        4.56839509029952,
        4.568414165497926,
        4.568433717576293,
        4.5684527927747,
        4.568472344853066,
        4.568491420051473,
        4.56851097212984,
        4.568530047328246,
        4.568549599406613,
        4.56856867460502,
        4.568588226683386,
        4.5686073018817925,
        4.568626377080199,
        4.568645929158566,
        4.568665004356973,
        4.568684556435339,
        4.5687036316337455,
        4.5687231837121125,
        4.568742258910519,
        4.568761810988886,
        4.568780886187293,
        4.568800438265659,
        4.5688195134640655,
        4.568838588662472,
        4.568858140740839,
        4.568877215939246,
        4.568896768017613,
        4.568915843216018,
        4.568935395294385,
        4.568954470492792,
        4.568973545691199,
        4.568993097769566,
        4.569012172967972,
        4.569031725046338,
        4.569050800244745,
        4.569070352323112,
        4.569089427521519,
        4.569108502719925,
        4.569128054798291,
        4.569147129996698,
        4.569166682075065,
        4.5691857572734715,
        4.569204832471878,
        4.569224384550245,
        4.569243459748652,
        4.569262534947058,
        4.5692820870254245,
        4.569301162223831,
        4.569320714302198,
        4.569339789500605,
        4.569358864699011,
        4.569378416777377,
        4.569397491975784,
        4.569416567174191,
        4.569436119252558,
        4.569455194450964,
        4.569474269649371,
        4.569493821727737,
        4.569512896926144,
        4.56953197212455,
        4.569551524202917,
        4.569570599401324,
        4.56958967459973,
        4.569609226678097,
        4.569628301876504,
        4.56964737707491,
        4.569666929153277,
        4.5698204845004495,
        4.569839559698856,
        4.569859111777223,
        4.56987818697563,
        4.569897262174036,
        4.5699168142524025,
        4.569935889450809,
        4.569954964649216,
        4.569974039847622,
        4.569993591925989,
        4.570012667124396,
        4.5700317423228025,
        4.570050817521209,
        4.570070369599575,
        4.570089444797982,
        4.5701085199963885,
        4.570127595194795,
        4.570147147273162,
        4.570166222471569,
        4.570185297669975,
        4.570204372868382,
        4.570223924946748,
        4.570243000145155,
        4.570262075343561,
        4.570549633959541,
        4.570568709157947,
        4.570588261236313,
        4.57060733643472,
        4.5706264116331266,
        4.570645486831533,
        4.57066456202994,
        4.570683637228346,
        4.570703189306713,
        4.57072226450512,
        4.570741339703526,
        4.570760414901932,
        4.570779490100339,
        4.5707985652987455,
        4.5708181173771125,
        4.570837192575519,
        4.570856267773926,
        4.570875342972332,
        4.570894418170739,
        4.5709134933691455,
        4.570932568567552,
        4.570952120645918,
        4.570971195844325,
        4.5709902710427315,
        4.571009346241138,
        4.571028421439545,
        4.571047496637951,
        4.571066571836358,
        4.5710856470347645,
        4.571104722233171,
        4.571124274311538,
        4.571143349509944,
        4.57116242470835,
        4.571181499906757,
        4.571200575105164,
        4.57121965030357,
        4.571238725501977,
        4.5712578007003835,
        4.57127687589879,
        4.571295951097197,
        4.571315026295603,
        4.57133410149401,
        4.571353653572377,
        4.5713727287707835,
        4.571391803969189,
        4.571410879167596,
        4.571429954366002,
        4.571449029564409,
        4.571468104762816,
        4.571487179961222,
        4.571506255159629,
        4.571525330358035,
        4.571544405556442,
        4.571563480754849,
        4.571582555953255,
        4.571601631151662,
        4.5716207063500685,
        4.571639781548475,
        4.571658856746882,
        4.571677931945288,
        4.571697007143695,
        4.5717160823421015,
        4.571735157540507,
        4.57188775912776,
        4.571906834326167,
        4.571925909524573,
        4.57194498472298,
        4.571964059921386,
        4.571983135119793,
        4.5720022103182,
        4.572021285516606,
        4.572040360715013,
        4.5720594359134195,
        4.572078511111825,
        4.572097586310232,
        4.572116661508638,
        4.572135736707045,
        4.572154811905452,
        4.572173887103858,
        4.572192962302265,
        4.572212037500671,
        4.572231112699078,
        4.572250187897485,
        4.572269263095891,
        4.572287861414337,
        4.572306936612744,
        4.572326011811151,
        4.572345087009557,
        4.572364162207964,
        4.57238323740637,
        4.572402312604777,
        4.572421387803184,
        4.57244046300159,
        4.572459538199997,
        4.5724786133984034,
        4.57249721171685,
        4.572516286915256,
        4.572535362113663,
        4.572839611528247,
        4.572858686726653,
        4.57287776192506,
        4.572896837123467,
        4.572915912321873,
        4.572934510640319,
        4.572953585838726,
        4.572972661037133,
        4.572991736235539,
        4.573010811433946,
        4.573105710546018,
        4.573124785744425,
        4.573143384062871,
        4.573162459261278,
        4.5731815344596844,
        4.573200609658091,
        4.573219684856498,
        4.573238283174944,
        4.5732573583733505,
        4.573276433571757,
        4.573295508770164,
        4.57331458396857,
        4.5733331822870165,
        4.573352257485423,
        4.57337133268383,
        4.573390407882236,
        4.5734090062006825,
        4.573428081399089,
        4.573447156597496,
        4.573466231795902,
        4.5734848301143485,
        4.573503905312755,
        4.573826276165827,
        4.573977447113198,
        4.573996522311605,
        4.574015120630051,
        4.574034195828458,
        4.574053271026864,
        4.57407186934531,
        4.574090944543717,
        4.574110019742124,
        4.57412861806057,
        4.574147693258976,
        4.574166768457383,
        4.574185366775829,
        4.574204441974236,
        4.574223517172642,
        4.5742421154910895,
        4.574261190689496,
        4.574280265887902,
        4.574298864206349,
        4.5743179394047555,
        4.574336537723202,
        4.574355612921608,
        4.574374688120015,
        4.574393286438461,
        4.574412361636868,
        4.574431436835274,
        4.5744500351537205,
        4.574469110352127,
        4.574487708670573,
        4.57450678386898,
        4.5745258590673865,
        4.574544457385833,
        4.574563532584239,
        4.574582130902686,
        4.574601206101092,
        4.574620281299499,
        4.574638879617946,
        4.574657954816352,
        4.574676553134799,
        4.574695628333205,
        4.574714226651651,
        4.574733301850058,
        4.574752377048465,
        4.574770975366911,
        4.574790050565317,
        4.574808648883764,
        4.57482772408217,
        4.574846322400616,
        4.575091438700141,
        4.575110513898547,
        4.575129112216994,
        4.5751481874154,
        4.575166785733847,
        4.575185860932254,
        4.5752044592507,
        4.575223534449107,
        4.575242132767553,
        4.575261207965959,
        4.575279806284406,
        4.575298881482812,
        4.575317479801258,
        4.575336554999665,
        4.575355153318111,
        4.575374228516518,
        4.575392826834965,
        4.5754119020333714,
        4.575430500351818,
        4.575449575550224,
        4.57546817386867,
        4.575487249067077,
        4.575505847385523,
        4.575524445703969,
        4.575543520902376,
        4.575562119220823,
        4.575581194419229,
        4.575599792737676,
        4.5756188679360825,
        4.575637466254529,
        4.575656541452935,
        4.5756751397713815,
        4.575693738089828,
        4.575712813288234,
        4.5757314116066805,
        4.575750486805087,
        4.575769085123534,
        4.575788160321941,
        4.575806758640387,
        4.575825356958833,
        4.57584443215724,
        4.575863030475686,
        4.575882105674093,
        4.575900703992539,
        4.575919302310986,
        4.575938377509392,
        4.575956975827839,
        4.575976051026245,
        4.576013247663138,
        4.576032322861544,
        4.5760509211799905,
        4.576088594696843,
        4.57610719301529,
        4.576126268213697,
        4.576144866532143,
        4.576163464850589,
        4.576182540048996,
        4.576201138367442,
        4.576219736685888,
        4.576238811884295,
        4.576257410202742,
        4.576276008521188,
        4.576295083719595,
        4.576313682038041,
        4.576332280356487,
        4.576351355554894,
        4.57636995387334,
        4.576388552191787,
        4.576407627390194,
        4.57642622570864,
        4.576444824027086,
        4.576463899225493,
        4.576482497543939,
        4.576501095862385,
        4.576520171060792,
        4.576538769379239,
        4.576557367697685,
        4.576575966016131,
        4.576595041214538,
        4.576613639532984,
        4.57663223785143,
        4.576651313049837,
        4.576669911368284,
        4.57668850968673,
        4.576707108005176,
        4.576726183203583,
        4.576744781522029,
        4.576763379840475,
        4.576782455038882,
        4.576801053357329,
        4.576819651675775,
        4.576838249994221,
        4.576857325192628,
        4.576875923511074,
        4.57689452182952,
        4.576913120147967,
        4.576932195346374,
        4.57695079366482,
        4.576969391983266,
        4.5769879903017125,
        4.577006588620159,
        4.577025663818565,
        4.577044262137012,
        4.577062860455459,
        4.577081458773905,
        4.577100533972311,
        4.577119132290758,
        4.577137730609204,
        4.577156328927651,
        4.577174927246097,
        4.577399537707334,
        4.577418136025781,
        4.577436734344227,
        4.577455332662673,
        4.57747393098112,
        4.577493006179526,
        4.577511604497973,
        4.577530202816419,
        4.577548801134865,
        4.5775673994533115,
        4.577585997771759,
        4.577605072970165,
        4.577623671288611,
        4.577642269607058,
        4.577660867925504,
        4.57767946624395,
        4.577698064562397,
        4.577716662880843,
        4.577735261199289,
        4.577754336397696,
        4.577772934716142,
        4.577791533034588,
        4.5778101313530355,
        4.577828729671482,
        4.577847327989928,
        4.577865926308374,
        4.577884524626821,
        4.577903122945267,
        4.577922198143674,
        4.57794079646212,
        4.577959394780566,
        4.5779779930990125,
        4.57799659141746,
        4.578015189735906,
        4.578033788054352,
        4.578052386372798,
        4.578070984691245,
        4.5780895830096915,
        4.578108181328138,
        4.578126779646584,
        4.57814537796503,
        4.578164453163437,
        4.578183051481884,
        4.57820164980033,
        4.578220248118776,
        4.578238846437222,
        4.5782574447556685,
        4.578276043074116,
        4.578294641392562,
        4.578313239711008,
        4.578331838029454,
        4.578350436347901,
        4.5783690346663475,
        4.578387632984794,
        4.57840623130324,
        4.578424829621686,
        4.578443427940133,
        4.578462026258579,
        4.5784806245770255,
        4.578499222895472,
        4.578517821213919,
        4.578536419532365,
        4.578555017850811,
        4.578573616169257,
        4.578592214487704,
        4.578610812806151,
        4.578629411124597,
        4.578648009443043,
        4.578666607761489,
        4.578685206079936,
        4.5787038043983825,
        4.578722402716829,
        4.578741001035275,
        4.578759599353721,
        4.578778197672168,
        4.578796795990614,
        4.578815394309061,
        4.578833992627507,
        4.578852590945954,
        4.5788711892644,
        4.578889787582846,
        4.5789083859012925,
        4.578926984219739,
        4.578945582538186,
        4.578964180856632,
        4.578982302295118,
        4.579000900613565,
        4.579019498932011,
        4.579038097250457,
        4.579056695568903,
        4.57907529388735,
        4.579093892205797,
        4.579112490524243,
        4.579131088842689,
        4.579149687161135,
        4.579168285479582,
        4.5791868837980285,
        4.579205482116475,
        4.579223603554961,
        4.579242201873408,
        4.579260800191854,
        4.5792793985103,
        4.579297996828746,
        4.579316595147193,
        4.579335193465639,
        4.579353791784086,
        4.579372390102532,
        4.5793905115410185,
        4.579409109859465,
        4.579427708177911,
        4.579446306496357,
        4.579464904814804,
        4.57948350313325,
        4.579502101451697,
        4.579724327513133,
        4.57974292583158,
        4.579761047270066,
        4.579779645588512,
        4.579798243906958,
        4.579816842225405,
        4.579835440543851,
        4.579853561982337,
        4.579872160300784,
        4.57989075861923,
        4.5799093569376765,
        4.579927955256123,
        4.579946076694609,
        4.579964675013056,
        4.579983273331502,
        4.580001871649948,
        4.580020469968395,
        4.580038591406881,
        4.580057189725327,
        4.580075788043774,
        4.58009438636222,
        4.580112507800706,
        4.580131106119153,
        4.580149704437599,
        4.580168302756046,
        4.580186901074492,
        4.5802050225129785,
        4.580223620831425,
        4.580242219149871,
        4.580260817468317,
        4.580278938906804,
        4.58029753722525,
        4.580316135543696,
        4.580334256982183,
        4.580352855300629,
        4.580371453619075,
        4.580390051937521,
        4.580408173376008,
        4.580426771694454,
        4.5804453700129,
        4.5804639683313475,
        4.580482089769833,
        4.5805006880882795,
        4.580519286406727,
        4.580537407845212,
        4.5805560061636585,
        4.580574604482106,
        4.580592725920591,
        4.580611324239038,
        4.580629922557484,
        4.580648520875931,
        4.580666642314417,
        4.580925111252825,
        4.580943232691312,
        4.580961831009758,
        4.580979952448245,
        4.580998550766691,
        4.581017149085137,
        4.581035270523624,
        4.58105386884207,
        4.581072467160516,
        4.581090588599002,
        4.581109186917449,
        4.581127308355935,
        4.581145906674381,
        4.581164504992828,
        4.581182626431314,
        4.58120122474976,
        4.581219346188247,
        4.581237944506693,
        4.581256542825139,
        4.581274664263626,
        4.581293262582072,
        4.581311384020559,
        4.581329982339005,
        4.581348580657451,
        4.581366702095937,
        4.581385300414384,
        4.58140342185287,
        4.581422020171316,
        4.581440141609803,
        4.581458739928249,
        4.581477338246695,
        4.581495459685182,
        4.581514058003628,
        4.581532179442115,
        4.581550777760561,
        4.581568899199047,
        4.581587497517493,
        4.5816056189559795,
        4.581624217274426,
        4.581642338712912,
        4.581660937031359,
        4.581679535349805,
        4.581697656788291,
        4.581716255106738,
        4.581734376545223,
        4.5817529748636705,
        4.581771096302156,
        4.5817896946206025,
        4.581807816059089,
        4.581826414377535,
        4.581844535816022,
        4.582046732919131,
        4.5820648543576175,
        4.582082975796103,
        4.58210157411455,
        4.582119695553036,
        4.582138293871482,
        4.582156415309969,
        4.582175013628415,
        4.582193135066901,
        4.582211733385348,
        4.582229854823834,
        4.58224845314228,
        4.582266574580767,
        4.5822846960192525,
        4.5823032943377,
        4.582321415776185,
        4.5823400140946315,
        4.582358135533118,
        4.582376733851564,
        4.582394855290051,
        4.582412976728537,
        4.582431575046983,
        4.58244969648547,
        4.582468294803916,
        4.582486416242403,
        4.582504537680888,
        4.582523135999335,
        4.582541257437821,
        4.5825598557562675,
        4.582577977194753,
        4.58259609863324,
        4.582614696951686,
        4.582632818390173,
        4.582651416708619,
        4.582669538147105,
        4.582687659585591,
        4.582706257904038,
        4.582724379342524,
        4.58274250078101,
        4.582761099099456,
        4.582779220537943,
        4.582797818856389,
        4.582815940294876,
        4.582834061733362,
        4.582852660051808,
        4.5828707814902945,
        4.58288890292878,
        4.5829075012472265,
        4.582925622685713,
        4.582943744124199,
        4.582962342442646,
        4.582980463881132,
        4.5829985853196185,
        4.583017183638065,
        4.58303530507655,
        4.583053426515037,
        4.583072024833483,
        4.58309014627197,
        4.583108267710456,
        4.583126389148942,
        4.583144987467389,
        4.583163108905874,
        4.583181230344361,
        4.583199828662807,
        4.583217950101294,
        4.58323607153978,
        4.583254669858226,
        4.583272791296713,
        4.583290912735198,
        4.583309034173685,
        4.583327632492131,
        4.583345753930617,
        4.583363875369104,
        4.5833819968075895,
        4.583400595126037,
        4.583418716564522,
        4.583436838003009,
        4.583455436321455,
        4.583473557759941,
        4.583491679198428,
        4.5835098006369135,
        4.5835279220754,
        4.583546520393846,
        4.583564641832333,
        4.583582763270819,
        4.5836008847093055,
        4.583619483027752,
        4.5836376044662375,
        4.583655725904724,
        4.58367384734321,
        4.583692445661657,
        4.583710567100143,
        4.5837286885386295,
        4.583746809977115,
        4.583764931415602,
        4.583783529734048,
        4.583801651172534,
        4.583819772611021,
        4.583837894049506,
        4.583856015487993,
        4.583874613806439,
        4.583892735244925,
        4.583910856683412,
        4.5839289781218975,
        4.583947099560384,
        4.58396569787883,
        4.583983819317317,
        4.584001940755803,
        4.5840200621942895,
        4.584038183632775,
        4.584056305071262,
        4.584074426509748,
        4.584093024828194,
        4.584111146266681,
        4.584129267705166,
        4.584147389143653,
        4.584165510582139,
        4.5841836320206255,
        4.584202230339072,
        4.584220351777558,
        4.584238473216044,
        4.58440204304238,
        4.584420164480867,
        4.584438285919353,
        4.584456407357839,
        4.584474528796325,
        4.584492650234812,
        4.584510771673298,
        4.584529369991745,
        4.58454749143023,
        4.584565612868717,
        4.584583734307203,
        4.58460185574569,
        4.584619977184175,
        4.584674341499634,
        4.584764948692065,
        4.584783070130551,
        4.584801191569038,
        4.584819789887484,
        4.5848379113259705,
        4.584856032764456,
        4.584874154202943,
        4.584892275641429,
        4.584910397079915,
        4.584928518518401,
        4.584946639956888,
        4.584964761395374,
        4.58498288283386,
        4.585001004272346,
        4.585019125710833,
        4.585037247149319,
        4.585055368587805,
        4.585073490026291,
        4.585091611464778,
        4.5851097329032635,
        4.58512785434175,
        4.585145975780236,
        4.585164097218723,
        4.585182218657208,
        4.585200340095695,
        4.585218461534181,
        4.585236582972668,
        4.585254704411153,
        4.58527282584964,
        4.585290947288126,
        4.5853090687266125,
        4.585327190165098,
        4.5853448347236245,
        4.58536295616211,
        4.585381077600597,
        4.585399199039083,
        4.5854173204775694,
        4.585435441916055,
        4.585453563354542,
        4.585471684793028,
        4.585489806231514,
        4.58550792767,
        4.585526049108487,
        4.585544170546973,
        4.585562291985459,
        4.585580413423945,
        4.585598534862432,
        4.585616179420958,
        4.585634300859444,
        4.5856524222979305,
        4.585670543736416,
        4.585688665174903,
        4.585706786613389,
        4.585724908051875,
        4.585743029490361,
        4.585761150928848,
        4.585779272367334,
        4.58579691692586,
        4.585815038364346,
        4.585833159802832,
        4.585851281241318,
        4.585869402679805,
        4.585887524118291,
        4.585905645556777,
        4.585923766995263,
        4.585941411553789,
        4.585959532992276,
        4.585977654430762,
        4.5859957758692484,
        4.586013897307734,
        4.586032018746221,
        4.586050140184707,
        4.586067784743233,
        4.586085906181719,
        4.586104027620205,
        4.586122149058691,
        4.586140270497178,
        4.586158391935664,
        4.58617603649419,
        4.586194157932677,
        4.586212279371162,
        4.586230400809649,
        4.586248522248135,
        4.586266166806661,
        4.586284288245147,
        4.586302409683634,
        4.586320531122119,
        4.586338652560606,
        4.586356297119132,
        4.586374418557618,
        4.586392539996105,
        4.5864106614345905,
        4.586428782873077,
        4.586446427431603,
        4.586464548870089,
        4.586482670308575,
        4.586500791747062,
        4.5865189131855475,
        4.586536557744074,
        4.58655467918256,
        4.586572800621046,
        4.586590922059533,
        4.586608566618058,
        4.586626688056545,
        4.586806471801527,
        4.586824593240013,
        4.586842714678499,
        4.586860836116985,
        4.586878480675511,
        4.586896602113998,
        4.586914723552484,
        4.58693236811101,
        4.586950489549496,
        4.586968610987983,
        4.586986255546509,
        4.587004376984995,
        4.587022498423481,
        4.587040619861967,
        4.587058264420493,
        4.587076385858979,
        4.587094507297466,
        4.587112151855992,
        4.587130273294478,
        4.5871483947329645,
        4.58716603929149,
        4.587184160729977,
        4.587202282168462,
        4.587219926726989,
        4.587238048165475,
        4.587256169603961,
        4.587273814162487,
        4.587291935600973,
        4.587309580159499,
        4.587327701597986,
        4.587345823036472,
        4.587363467594998,
        4.587381589033484,
        4.587399710471971,
        4.587417355030497,
        4.587435476468983,
        4.587453121027509,
        4.587471242465996,
        4.587489363904481,
        4.587507008463008,
        4.587525129901493,
        4.58754277446002,
        4.587560895898506,
        4.587579017336992,
        4.587596661895518,
        4.587614783334004,
        4.5876324278925305,
        4.587650549331017,
        4.587668670769503,
        4.587686315328029,
        4.587704436766515,
        4.588777893556845,
        4.589922882341198,
        4.589943865059445,
        4.589964847777692,
        4.589985830495939,
        4.5900068132141865,
        4.590027795932434,
        4.590048778650681,
        4.5900697613689285,
        4.590090744087175,
        4.590111726805422,
        4.590132232643709,
        4.590153215361957,
        4.590174198080204,
        4.590195180798451,
        4.590216163516699,
        4.590237146234946,
        4.5902581289531925,
        4.59027911167144,
        4.590300094389687,
        4.590321077107935,
        4.5903415829462215,
        4.590362565664469,
        4.590383548382716,
        4.590404531100964,
        4.59042551381921,
        4.590446496537457,
        4.590467479255705,
        4.590487985093992,
        4.590508967812239,
        4.590529950530486,
        4.590550933248734,
        4.590571915966981,
        4.590592898685228,
        4.590613881403475,
        4.590634387241762,
        4.590655369960009,
        4.590676352678257,
        4.590697335396504,
        4.590718318114751,
        4.590738823953038,
        4.590759806671286,
        4.590780789389532,
        4.590801772107779,
        4.590822754826027,
        4.590843260664314,
        4.590864243382561,
        4.590885226100808,
        4.590906208819056,
        4.590927191537303,
        4.59094769737559,
        4.590968680093837,
        4.590989662812084,
        4.591010645530331,
        4.591031151368618,
        4.5910521340868655,
        4.591073116805113,
        4.59109409952336,
        4.591114605361647,
        4.5911355880798945,
        4.591156570798142,
        4.591177553516389,
        4.591198059354676,
        4.591219042072923,
        4.59124002479117,
        4.591260530629457,
        4.591281513347704,
        4.591302496065952,
        4.591323478784199,
        4.591343984622486,
        4.591364967340733,
        4.591385950058981,
        4.591406455897268,
        4.591427438615515,
        4.591552381165077,
        4.591573363883325,
        4.591593869721612,
        4.591614852439859,
        4.591635835158106,
        4.591656340996393,
        4.591677323714641,
        4.591698306432888,
        4.591718812271175,
        4.591739794989422,
        4.591760300827709,
        4.591781283545957,
        4.591802266264203,
        4.591822772102491,
        4.591843754820737,
        4.591864737538985,
        4.591885243377272,
        4.591906226095519,
        4.591926731933806,
        4.591947714652053,
        4.591968697370301,
        4.591989203208588,
        4.592010185926835,
        4.592030691765122,
        4.592051674483369,
        4.592072180321656,
        4.592093163039904,
        4.592114145758151,
        4.592134651596438,
        4.592155634314685,
        4.592176140152972,
        4.5921971228712195,
        4.5922176287095064,
        4.592238611427754,
        4.592259117266041,
        4.592280099984288,
        4.592300605822575,
        4.5923215885408215,
        4.592342094379109,
        4.592363077097356,
        4.592384059815603,
        4.59240456565389,
        4.5924255483721375,
        4.592446054210424,
        4.592467036928672,
        4.592487542766959,
        4.592508525485206,
        4.592529031323493,
        4.59255001404174,
        4.592570519880027,
        4.592591025718314,
        4.592612008436562,
        4.5926325142748485,
        4.592653496993096,
        4.592674002831383,
        4.59269498554963,
        4.592715491387917,
        4.5927364741061645,
        4.592756979944451,
        4.592777962662699,
        4.592798468500986,
        4.592818974339273,
        4.59283995705752,
        4.592860462895807,
        4.592881445614054,
        4.592901951452341,
        4.592922934170589,
        4.5929434400088756,
        4.5929639458471625,
        4.59298492856541,
        4.593005434403697,
        4.593026417121944,
        4.593046922960231,
        4.593067428798518,
        4.593088411516765,
        4.593108917355052,
        4.5931299000733,
        4.593150405911587,
        4.593170911749874,
        4.593191894468121,
        4.593212400306408,
        4.593233383024655,
        4.593253888862942,
        4.593274394701229,
        4.5932953774194765,
        4.593315883257763,
        4.59333638909605,
        4.593357371814298,
        4.593377877652585,
        4.593398383490872,
        4.593419366209119,
        4.593439872047406,
        4.593460377885693,
        4.59348136060394,
        4.593501866442227,
        4.593522372280515,
        4.593543354998761,
        4.593563860837049,
        4.593584366675336,
        4.593604872513623,
        4.5936258552318705,
        4.5936463610701574,
        4.593666866908444,
        4.593687849626692,
        4.593708355464979,
        4.593728861303266,
        4.593749367141553,
        4.5937703498598,
        4.593790855698087,
        4.593811361536374,
        4.593832344254621,
        4.593852850092908,
        4.593873355931195,
        4.593893861769482,
        4.593914844487729,
        4.593935350326016,
        4.593955856164303,
        4.59397636200259,
        4.5939973447208375,
        4.5940178505591245,
        4.594038356397412,
        4.594058862235699,
        4.594079368073986,
        4.5941003507922336,
        4.5941208566305205,
        4.594141362468807,
        4.594161868307094,
        4.594182374145381,
        4.594203356863629,
        4.594223862701916,
        4.594244368540203,
        4.5942648743784895,
        4.5942853802167765,
        4.594306362935024,
        4.594326868773311,
        4.594347374611598,
        4.5943678804498855,
        4.5943883862881725,
        4.594408892126459,
        4.594429874844707,
        4.594450380682994,
        4.594470886521281,
        4.594491392359568,
        4.5945118981978545,
        4.5945324040361415,
        4.594553386754389,
        4.594573892592676,
        4.594594398430963,
        4.59461490426925,
        4.594635410107537,
        4.5946559159458245,
        4.594676421784111,
        4.594696927622398,
        4.594717910340646,
        4.594738416178933,
        4.59475892201722,
        4.5947794278555065,
        4.5947999336937935,
        4.59482043953208,
        4.594840945370367,
        4.594861451208654,
        4.594881957046942,
        4.594902462885229,
        4.594922968723516,
        4.594943474561803,
        4.59496445728005,
        4.594984963118337,
        4.595005468956624,
        4.595025974794911,
        4.595046480633198,
        4.595066986471485,
        4.595087492309772,
        4.59510799814806,
        4.595128503986347,
        4.595149009824634,
        4.595169515662921,
        4.595190021501208,
        4.5952105273394945,
        4.5952310331777815,
        4.595251539016068,
        4.595559126590374,
        4.595579632428661,
        4.595600138266948,
        4.595620644105235,
        4.595641149943523,
        4.59566165578181,
        4.595682161620097,
        4.595702667458384,
        4.595723173296671,
        4.595743679134958,
        4.595764184973245,
        4.595784213931572,
        4.595804719769859,
        4.595825225608146,
        4.595845731446433,
        4.59586623728472,
        4.595886743123007,
        4.595907248961294,
        4.595927754799581,
        4.5959482606378685,
        4.5959687664761555,
        4.595989272314442,
        4.596009301272769,
        4.596029807111056,
        4.596050312949343,
        4.596070818787631,
        4.596091324625918,
        4.596111830464205,
        4.5961323363024915,
        4.5961528421407785,
        4.596172871099105,
        4.596193376937393,
        4.59621388277568,
        4.596234388613967,
        4.596254894452254,
        4.596275400290541,
        4.5962959061288275,
        4.596315935087155,
        4.596336440925442,
        4.596356946763729,
        4.596377452602016,
        4.596397958440303,
        4.59641846427859,
        4.596438493236916,
        4.596458999075204,
        4.596479504913491,
        4.596500010751778,
        4.596520516590065,
        4.596540545548391,
        4.596561051386678,
        4.596581557224966,
        4.596602063063253,
        4.59662256890154,
        4.596642597859867,
        4.596663103698154,
        4.5966836095364405,
        4.596704115374728,
        4.596724621213015,
        4.596744650171342,
        4.596765156009629,
        4.596785661847916,
        4.596806167686203,
        4.59682619664453,
        4.596846702482817,
        4.596867208321104,
        4.596887714159391,
        4.596907743117718,
        4.596928248956005,
        4.596948754794292,
        4.596969260632579,
        4.596989289590906,
        4.597009795429193,
        4.5970303012674805,
        4.597050330225807,
        4.597070836064094,
        4.597091341902381,
        4.597111847740668,
        4.597131876698995,
        4.597152382537282,
        4.597172888375569,
        4.597192917333896,
        4.597213423172183,
        4.59723392901047,
        4.597253957968797,
        4.597274463807084,
        4.597294969645371,
        4.597314998603698,
        4.597335504441985,
        4.597356010280272,
        4.597376039238599,
        4.597396545076886,
        4.597417050915173,
        4.5974370798735,
        4.597457585711787,
        4.597478091550074,
        4.5974981205084005,
        4.597518626346687,
        4.597539132184975,
        4.597559161143302,
        4.597579666981589,
        4.597600172819876,
        4.597620201778203,
        4.59764070761649,
        4.5976607365748166,
        4.5976812424131035,
        4.59770174825139,
        4.597721777209718,
        4.597742283048005,
        4.597762312006331,
        4.597782817844618,
        4.597803323682905,
        4.597823352641233,
        4.59784385847952,
        4.597863887437846,
        4.597884393276134,
        4.597904899114421,
        4.597924928072747,
        4.597945433911034,
        4.597965462869362,
        4.597985968707649,
        4.598005997665975,
        4.598026503504262,
        4.598047009342549,
        4.598067038300877,
        4.5980875441391635,
        4.59810757309749,
        4.598128078935777,
        4.598148107894104,
        4.598168613732391,
        4.598188642690718,
        4.598209148529005,
        4.598229177487332,
        4.598249683325619,
        4.598269712283946,
        4.598290218122233,
        4.59831024708056,
        4.598330752918847,
        4.598350781877174,
        4.5983712877154606,
        4.598391316673788,
        4.598411822512075,
        4.5984318514704015,
        4.598452357308688,
        4.598472386267016,
        4.598492892105303,
        4.598512921063629,
        4.598533426901916,
        4.598553455860244,
        4.598573961698531,
        4.598593990656857,
        4.598614496495144,
        4.5986345254534715,
        4.5986550312917585,
        4.598675060250085,
        4.598695566088372,
        4.598715595046699,
        4.598735624005026,
        4.598756129843313,
        4.59877615880164,
        4.598796664639927,
        4.598816693598254,
        4.598837199436541,
        4.598857228394868,
        4.598877257353195,
        4.598897763191482,
        4.598917792149809,
        4.598938297988096,
        4.5989583269464225,
        4.598978832784709,
        4.598998861743037,
        4.599018890701363,
        4.59903939653965,
        4.599059425497978,
        4.599079454456304,
        4.599099960294591,
        4.599119989252918,
        4.599140495091206,
        4.599160524049532,
        4.599180553007859,
        4.599201058846146,
        4.599221087804473,
        4.5992411167628,
        4.5992616226010865,
        4.599281651559414,
        4.599302157397701,
        4.599322186356027,
        4.599342215314355,
        4.599362721152642,
        4.599382750110968,
        4.599402779069296,
        4.599423284907583,
        4.599443313865909,
        4.599463342824236,
        4.599483848662524,
        4.59950387762085,
        4.599523906579177,
        4.599543935537504,
        4.599564441375791,
        4.5995844703341175,
        4.599604499292445,
        4.599625005130732,
        4.5996450340890584,
        4.599665063047386,
        4.599685568885673,
        4.599705597843999,
        4.599725626802326,
        4.599745655760653,
        4.59976616159894,
        4.599786190557267,
        4.599806219515594,
        4.599826725353881,
        4.599846754312208,
        4.599866783270535,
        4.599886812228862,
        4.599907318067149,
        4.599927347025476,
        4.5999473759838025,
        4.599967404942129,
        4.599987910780416,
        4.6000079397387434,
        4.60002796869707,
        4.600047997655397,
        4.600068026613724,
        4.600088532452011,
        4.600108561410337,
        4.600128590368665,
        4.600148619326991,
        4.600169125165278,
        4.600189154123606,
        4.600209183081932,
        4.60022921204026,
        4.600249240998586,
        4.600269746836873,
        4.6002897757952,
        4.600309804753527,
        4.600329833711854,
        4.600349862670181,
        4.600370368508468,
        4.600390397466795,
        4.600410426425122,
        4.6004304553834485,
        4.600450484341775,
        4.6004705133001025,
        4.600491019138389,
        4.600511048096716,
        4.600531077055043,
        4.60055110601337,
        4.6005711349716965,
        4.600591163930024,
        4.60061119288835,
        4.600631698726637,
        4.600651727684965,
        4.600671756643291,
        4.600691785601618,
        4.600711814559945,
        4.600731843518272,
        4.600751872476599,
        4.600771901434926,
        4.600792407273213,
        4.60081243623154,
        4.600832465189867,
        4.600852494148193,
        4.600872523106521,
        4.600892552064847,
        4.600912581023175,
        4.600932609981501,
        4.600952638939828,
        4.600972667898155,
        4.600993173736442,
        4.6010132026947685,
        4.601033231653096,
        4.6010532606114225,
        4.601073289569749,
        4.6010933185280765,
        4.601113347486403,
        4.60113337644473,
        4.601153405403057,
        4.6011734343613835,
        4.601193463319711,
        4.601213492278037,
        4.601233521236364,
        4.601253550194691,
        4.601273579153018,
        4.601293608111345,
        4.601313637069672,
        4.601333666027998,
        4.601353694986326,
        4.601374200824613,
        4.601394229782939,
        4.601414258741267,
        4.601434287699593,
        4.601454316657921,
        4.601474345616247,
        4.601494374574574,
        4.601514403532901,
        4.601534432491228,
        4.601554461449554,
        4.601574490407882,
        4.601594519366208,
        4.601614548324536,
        4.601634577282862,
        4.601654129361229,
        4.601674158319556,
        4.601694187277883,
        4.60171421623621,
        4.601734245194536,
        4.601754274152864,
        4.60177430311119,
        4.601794332069517,
        4.601814361027844,
        4.601834389986171,
        4.601854418944498,
        4.601874447902825,
        4.601894476861151,
        4.601914505819479,
        4.601934534777805,
        4.6019545637361325,
        4.601974592694459,
        4.601994621652786,
        4.602014650611113,
        4.602034202689479,
        4.602054231647807,
        4.602074260606133,
        4.6020942895644605,
        4.602114318522787,
        4.602134347481114,
        4.602154376439441,
        4.602174405397768,
        4.602194434356095,
        4.6022144633144215,
        4.602234492272748,
        4.602254044351115,
        4.602274073309442,
        4.602294102267769,
        4.602314131226096,
        4.602334160184423,
        4.6023541891427495,
        4.602374218101076,
        4.602393770179443,
        4.60241379913777,
        4.602433828096097,
        4.602453857054424,
        4.602473886012751,
        4.6024939149710775,
        4.602513943929404,
        4.602533496007771,
        4.602553524966098,
        4.602573553924425,
        4.6025935828827516,
        4.602613611841079,
        4.6026336407994055,
        4.6026531928777725,
        4.602673221836099,
        4.602992254529449,
        4.603012283487776,
        4.603031835566142,
        4.60305186452447,
        4.603071893482796,
        4.603091922441123,
        4.60311147451949,
        4.603131503477817,
        4.603151532436144,
        4.60317156139447,
        4.603191113472837,
        4.603211142431164,
        4.603231171389491,
        4.603251200347818,
        4.603270752426185,
        4.603290781384511,
        4.603310810342839,
        4.603330839301165,
        4.603350391379532,
        4.603370420337859,
        4.603390449296185,
        4.603410001374552,
        4.603430030332879,
        4.603450059291206,
        4.603469611369573,
        4.6034896403279,
        4.603509669286226,
        4.603529698244554,
        4.60354925032292,
        4.603569279281247,
        4.603589308239574,
        4.603608860317941,
        4.603628889276267,
        4.603648918234595,
        4.603668470312961,
        4.603688499271288,
        4.603708528229615,
        4.603728080307982,
        4.603748109266308,
        4.603768138224636,
        4.603787690303002,
        4.603807719261329,
        4.6038272713396955,
        4.603847300298023,
        4.6038673292563494,
        4.6038868813347165,
        4.603906910293043,
        4.60392693925137,
        4.6039464913297365,
        4.603966520288064,
        4.6039865492463905,
        4.6040061013247575,
        4.604026130283084,
        4.604045682361451,
        4.604065711319778,
        4.604085740278104,
        4.604105292356471,
        4.604125321314799,
        4.604144873393165,
        4.604164902351492,
        4.604184931309819,
        4.604204483388186,
        4.604224512346512,
        4.604244064424879,
        4.604264093383206,
        4.604283645461573,
        4.604303674419899,
        4.604323703378227,
        4.604343255456593,
        4.60436328441492,
        4.604382836493286,
        4.604402865451614,
        4.60442241752998,
        4.604442446488307,
        4.6044619985666735,
        4.604482027525001,
        4.604501579603367,
        4.6045216085616945,
        4.604541637520021,
        4.604561189598388,
        4.6045812185567145,
        4.6046007706350816,
        4.604620799593408,
        4.604640351671775,
        4.604660380630102,
        4.604679932708469,
        4.604699961666795,
        4.604719513745162,
        4.60473954270349,
        4.604759094781856,
        4.604779123740183,
        4.604798675818549,
        4.604818704776877,
        4.604838256855243,
        4.60485828581357,
        4.604877837891936,
        4.604897866850264,
        4.60491741892863,
        4.604937447886957,
        4.604956999965324,
        4.6049765520436905,
        4.604996581002018,
        4.605016133080384,
        4.6050361620387115,
        4.605055714117078,
        4.605075743075405,
        4.605095295153771,
        4.605115324112099,
        4.605134876190465,
        4.605154905148792,
        4.605174457227159,
        4.605194009305525,
        4.605214038263853,
        4.605233590342219,
        4.605253619300546,
        4.605273171378912,
        4.60529320033724,
        4.605312752415606,
        4.605332304493973,
        4.605352333452299,
        4.6053718855306665,
        4.605391914488993,
        4.60541146656736,
        4.605431018645727,
        4.6054510476040535,
        4.605470599682421,
        4.605490628640747,
        4.605510180719114,
        4.605529732797481,
        4.605549761755808,
        4.605569313834175,
        4.605588865912541,
        4.605608894870868,
        4.605628446949234,
        4.605648475907562,
        4.605668027985928,
        4.605687580064295,
        4.605707609022622,
        4.6057271611009885,
        4.6057467131793555,
        4.605766742137682,
        4.605786294216049,
        4.605805846294416,
        4.605825875252743,
        4.60584542733111,
        4.605864979409476,
        4.605885008367803,
        4.605904560446169,
        4.605924112524536,
        4.605944141482863,
        4.60596369356123,
        4.605983245639597,
        4.606003274597923,
        4.60602282667629,
        4.6060423787546565,
        4.606062407712984,
        4.606081959791351,
        4.606101511869717,
        4.606121063948084,
        4.606141092906411,
        4.606160644984778,
        4.606180197063145,
        4.606200226021471,
        4.606219778099838,
        4.606239330178204,
        4.606258882256571,
        4.606278911214898,
        4.606298463293265,
        4.606318015371632,
        4.606337567449998,
        4.606357596408325,
        4.6063771484866916,
        4.606396700565059,
        4.606416252643426,
        4.606436281601752,
        4.606455833680119,
        4.606475385758486,
        4.606494937836852,
        4.60651496679518,
        4.606534518873546,
        4.606554070951913,
        4.60657362303028,
        4.606593651988606,
        4.606613204066973,
        4.6066327561453395,
        4.6066523082237065,
        4.6066718603020735,
        4.6066918892604,
        4.606711441338767,
        4.606730993417133,
        4.6067505454955,
        4.606770097573867,
        4.606790126532194,
        4.606809678610561,
        4.606829230688927,
        4.606848782767294,
        4.606868334845661,
        4.6068883638039875,
        4.6069079158823545,
        4.6069274679607215,
        4.606947020039088,
        4.606966572117455,
        4.606986124195822,
        4.607006153154148,
        4.607025705232515,
        4.607045257310881,
        4.607064809389248,
        4.607084361467615,
        4.6071039135459815,
        4.6071234656243485,
        4.607143494582675,
        4.607163046661042,
        4.607182598739409,
        4.607202150817775,
        4.607221702896142,
        4.607241254974509,
        4.607260807052875,
        4.607280359131242,
        4.607300388089569,
        4.607319940167936,
        4.607339492246303,
        4.607359044324669,
        4.607378596403036,
        4.607398148481403,
        4.607417700559769,
        4.607437252638136,
        4.607456804716503,
        4.607476356794869,
        4.607496385753197,
        4.607515937831563,
        4.60753548990993,
        4.607555041988297,
        4.607574594066663,
        4.60759414614503,
        4.607613698223397,
        4.607633250301763,
        4.60765280238013,
        4.607672354458497,
        4.607691906536863,
        4.60771145861523,
        4.607731010693597,
        4.607750562771964,
        4.6077701148503305,
        4.607790143808658,
        4.607809695887024,
        4.607829247965391,
        4.607848800043758,
        4.607868352122124,
        4.607887904200491,
        4.607907456278858,
        4.607927008357224,
        4.607946560435591,
        4.607966112513958,
        4.6079856645923245,
        4.6080052166706915,
        4.6080247687490585,
        4.608044320827425,
        4.608063872905792,
        4.608083424984159,
        4.608102977062525,
        4.608122529140892,
        4.608142081219259,
        4.608161633297625,
        4.608181185375992,
        4.608200737454359,
        4.608220289532725,
        4.608239841611092,
        4.608259393689459,
        4.608278945767825,
        4.608298497846192,
        4.608318049924559,
        4.608337602002925,
        4.608357154081292,
        4.608376229279699,
        4.608395781358066,
        4.608415333436432,
        4.608434885514799,
        4.608454437593166,
        4.608473989671532,
        4.608493541749899,
        4.608513093828266,
        4.6085326459066325,
        4.6085521979849995,
        4.6085717500633665,
        4.608591302141733,
        4.6086108542201,
        4.608630406298467,
        4.608649958376833,
        4.608669033575239,
        4.608688585653606,
        4.608708137731973,
        4.6087276898103395,
        4.6087472418887065,
        4.608766793967074,
        4.60878634604544,
        4.608805898123807,
        4.608825450202174,
        4.60884500228054,
        4.608864077478946,
        4.6088836295573135,
        4.60890318163568,
        4.608922733714047,
        4.608942285792414,
        4.60896183787078,
        4.608981389949147,
        4.609000942027514,
        4.60902001722592,
        4.6090395693042865,
        4.6090591213826535,
        4.6090786734610205,
        4.609098225539387,
        4.609117777617754,
        4.609137329696121,
        4.609156404894527,
        4.609175956972893,
        4.60919550905126,
        4.609215061129627,
        4.6092346132079935,
        4.609254165286361,
        4.609273240484767,
        4.609292792563134,
        4.6093123446415,
        4.609331896719867,
        4.609351448798234,
        4.609370523996641,
        4.609390076075007,
        4.609409628153374,
        4.609429180231741,
        4.609448732310107,
        4.609467807508514,
        4.609487359586881,
        4.609506911665248,
        4.609526463743614,
        4.609546015821981,
        4.609565091020388,
        4.609584643098755,
        4.609604195177121,
        4.609623747255488,
        4.609642822453894,
        4.6096623745322605,
        4.6096819266106275,
        4.6097014786889945,
        4.609720553887401,
        4.609740105965767,
        4.609759658044134,
        4.609779210122501,
        4.609798285320908,
        4.609817837399274,
        4.609837389477641,
        4.609856941556008,
        4.609876016754415,
        4.609895568832781,
        4.609915120911148,
        4.609934672989515,
        4.609953748187921,
        4.6099733002662875,
        4.6099928523446545,
        4.6100124044230215,
        4.610031479621428,
        4.610051031699794,
        4.610070583778161,
        4.610089658976568,
        4.610109211054935,
        4.610128763133301,
        4.610147838331708,
        4.610167390410075,
        4.610186942488441,
        4.610206494566808,
        4.610225569765214,
        4.610245121843581,
        4.6102646739219475,
        4.610283749120354,
        4.610555093817688,
        4.610574645896055,
        4.610594197974421,
        4.610613273172827,
        4.610632825251194,
        4.610652377329561,
        4.610671452527968,
        4.610691004606334,
        4.610710079804741,
        4.610729631883108,
        4.610749183961475,
        4.610768259159881,
        4.610787811238247,
        4.610806886436654,
        4.610826438515021,
        4.610845990593388,
        4.610865065791794,
        4.610884617870161,
        4.610903693068567,
        4.610923245146934,
        4.610942320345341,
        4.610961872423707,
        4.610981424502074,
        4.611000499700481,
        4.611020051778848,
        4.611039126977254,
        4.6110586790556205,
        4.611077754254027,
        4.611097306332394,
        4.611116858410761,
        4.611135933609167,
        4.611155485687534,
        4.6111745608859405,
        4.6111941129643075,
        4.611213188162714,
        4.61123274024108,
        4.611251815439487,
        4.611271367517854,
        4.61129044271626,
        4.611309994794627,
        4.611329069993034,
        4.6113486220714,
        4.611367697269807,
        4.611387249348174,
        4.611406801426541,
        4.6114258766249465,
        4.6114454287033135,
        4.61146450390172,
        4.611484055980087,
        4.611503131178494,
        4.61152268325686,
        4.6115417584552665,
        4.611560833653673,
        4.61158038573204,
        4.611599460930447,
        4.611619013008814,
        4.611638088207219,
        4.6116576402855864,
        4.611676715483993,
        4.61169626756236,
        4.611715342760767,
        4.611734894839133,
        4.611753970037539,
        4.611773522115906,
        4.611792597314313,
        4.61181214939268,
        4.611831224591087,
        4.611850299789492,
        4.611869851867859,
        4.611888927066266,
        4.611908479144633,
        4.61192755434304,
        4.611947106421406,
        4.611966181619812,
        4.611985733698179,
        4.612004808896586,
        4.6120238840949925,
        4.6120434361733595,
        4.612062511371765,
        4.612082063450132,
        4.612101138648539,
        4.6121202138469455,
        4.6121397659253125,
        4.612158841123719,
        4.612178393202085,
        4.612197468400492,
        4.612216543598898,
        4.6122360956772654,
        4.612255170875672,
        4.612274722954038,
        4.612293798152445,
        4.612312873350851,
        4.612332425429218,
        4.612351500627625,
        4.612370575826032,
        4.612390127904399,
        4.612409203102805,
        4.612428755181171,
        4.612447830379578,
        4.6124669055779846,
        4.612486457656352,
        4.612505532854758,
        4.612524608053165,
        4.612544160131531,
        4.6125632353299375,
        4.612582310528344,
        4.612601862606711,
        4.612620937805118,
        4.612640013003524,
        4.6126595650818905,
        4.612678640280297,
        4.612697715478704,
        4.612717267557071,
        4.612736342755477,
        4.612755417953884,
        4.612774970032251,
        4.6127940452306575,
        4.612813120429063,
        4.61283219562747,
        4.612851747705837,
        4.612870822904243,
        4.61288989810265,
        4.612909450181017,
        4.612928525379424,
        4.61294760057783,
        4.612967152656196,
        4.612986227854603,
        4.61300530305301,
        4.613024378251416,
        4.613043930329783,
        4.61306300552819,
        4.613082080726596,
        4.613101155925003,
        4.613120708003369,
        4.613139783201776,
        4.613158858400182,
        4.613177933598589,
        4.613197485676956,
        4.613216560875363,
        4.613235636073769,
        4.613254711272176,
        4.613274263350542,
        4.6132933385489485,
        4.613312413747355,
        4.613331488945762,
        4.613351041024129,
        4.613370116222535,
        4.613389191420942,
        4.6134082666193486,
        4.613427341817754,
        4.613446893896121,
        4.613465969094528,
        4.6134850442929345,
        4.613504119491341,
        4.613523194689748,
        4.613542746768115,
        4.613561821966521,
        4.613580897164927,
        4.613599972363334,
        4.61361904756174,
        4.613638599640107,
        4.613657674838514,
        4.6136767500369205,
        4.613695825235327,
        4.613714900433734,
        4.6137344525121,
        4.613753527710506,
        4.613772602908913,
        4.61379167810732,
        4.613810753305726,
        4.613829828504133,
        4.613848903702539,
        4.613868455780906,
        4.613887530979313,
        4.61390660617772,
        4.613925681376126,
        4.613944756574533,
        4.6139638317729395,
        4.613982906971346,
        4.614002459049712,
        4.614021534248119,
        4.614040609446525,
        4.614059684644932,
        4.614078759843339,
        4.614097835041745,
        4.614116910240152,
        4.614135985438558,
        4.6141555375169245,
        4.614174612715331,
        4.614193687913738,
        4.614212763112144,
        4.614231838310551,
        4.6142509135089576,
        4.614269988707364,
        4.614289063905771,
        4.614308139104177,
        4.614327214302584,
        4.614346766380951,
        4.614365841579358,
        4.614384916777764,
        4.61440399197617,
        4.6144230671745765,
        4.614442142372983,
        4.61446121757139,
        4.614480292769796,
        4.614499367968203,
        4.6145184431666095,
        4.614537518365016,
        4.614556593563423,
        4.614575668761829,
        4.614594743960236,
        4.6146138191586425,
        4.614632894357049,
        4.614651969555456,
        4.614671044753862,
        4.6146905968322285,
        4.614709672030635,
        4.614728747229042,
        4.614747822427448,
        4.614766897625855,
        4.6147859728242615,
        4.614805048022668,
        4.614824123221075,
        4.614843198419481,
        4.614862273617888,
        4.6148813488162945,
        4.614900424014701,
        4.614919499213108,
        4.614938574411514,
        4.614957649609921,
        4.6149767248083275,
        4.614995800006733,
        4.61501487520514,
        4.6150339504035465,
        4.615053025601953,
        4.61507210080036,
        4.615091175998766,
        4.615110251197173,
        4.615128849515619,
        4.615147924714026,
        4.615166999912432,
        4.615186075110839,
        4.6152051503092455,
        4.615224225507652,
        4.615243300706059,
        4.615262375904465,
        4.615281451102872,
        4.6153005263012785,
        4.615319601499685,
        4.615338676698092,
        4.615357751896498,
        4.615376827094905,
        4.6153959022933115,
        4.615414977491718,
        4.615434052690124,
        4.615452651008571,
        4.6154717262069775,
        4.615490801405384,
        4.615509876603791,
        4.6155289518021965,
        4.615548027000603,
        4.61556710219901,
        4.615586177397416,
        4.615605252595823,
        4.6156243277942295,
        4.615643402992636,
        4.615662001311082,
        4.615681076509489,
        4.6157001517078955,
        4.615719226906302,
        4.615738302104709,
        4.615757377303115,
        4.615776452501522,
        4.6157955276999285,
        4.615814126018375,
        4.615833201216781,
        4.615852276415188,
        4.6158713516135945,
        4.615890426812001,
        4.615909502010408,
        4.615928577208814,
        4.6159471755272605,
        4.615966250725667,
        4.615985325924074,
        4.61600440112248,
        4.616023476320887,
        4.6160425515192935,
        4.61606114983774,
        4.616080225036146,
        4.616099300234553,
        4.6161183754329596,
        4.616137450631366,
        4.616156525829773,
        4.616175124148219,
        4.616194199346626,
        4.616213274545032,
        4.616232349743439,
        4.616251424941845,
        4.616270023260292,
        4.616289098458698,
        4.616308173657105,
        4.616327248855511,
        4.616346324053918,
        4.616364922372364,
        4.616383997570771,
        4.616403072769177,
        4.616422147967584,
        4.616441223165991,
        4.616459821484437,
        4.616478896682843,
        4.61649797188125,
        4.616517047079657,
        4.616535645398103,
        4.616554720596509,
        4.616573795794916,
        4.616592870993323,
        4.616611469311769,
        4.616630544510175,
        4.616649619708582,
        4.616668694906989,
        4.616687293225435,
        4.616706368423841,
        4.616725443622248,
        4.616744518820655,
        4.616763117139101,
        4.616782192337507,
        4.616801267535914,
        4.616820342734321,
        4.616838941052767,
        4.616858016251173,
        4.61687709144958,
        4.616895689768026,
        4.616914764966433,
        4.616933840164839,
        4.616952438483286,
        4.616971513681692,
        4.616990588880099,
        4.617009664078505,
        4.6170282623969525,
        4.617047337595358,
        4.617066412793765,
        4.617085011112212,
        4.6171040863106185,
        4.617123161509025,
        4.617141759827471,
        4.617160835025878,
        4.6171799102242845,
        4.617198508542731,
        4.617217583741137,
        4.617236658939544,
        4.61725525725799,
        4.617274332456397,
        4.617293407654803,
        4.6173120059732495,
        4.617331081171656,
        4.617350156370063,
        4.617368754688509,
        4.6173878298869155,
        4.617406428205362,
        4.617425503403768,
        4.617444578602175,
        4.617463176920621,
        4.617482252119028,
        4.617501327317434,
        4.617519925635881,
        4.617539000834288,
        4.617557599152734,
        4.617576674351141,
        4.617595749549547,
        4.617614347867994,
        4.6176334230664,
        4.617652021384846,
        4.617671096583253,
        4.61769017178166,
        4.617708770100106,
        4.617727845298512,
        4.617746443616959,
        4.617765518815365,
        4.617784594013772,
        4.617803192332218,
        4.617822267530625,
        4.617840865849072,
        4.617859941047478,
        4.6178785393659245,
        4.617897614564331,
        4.617916689762738,
        4.617935288081184,
        4.618218077897561,
        4.618237153095968,
        4.618255751414414,
        4.61827482661282,
        4.618293424931267,
        4.618312500129673,
        4.618331098448119,
        4.618350173646526,
        4.618368771964973,
        4.61838784716338,
        4.618406445481826,
        4.6184255206802325,
        4.618444118998679,
        4.618463194197085,
        4.6184817925155315,
        4.618500867713938,
        4.618519466032384,
        4.618538541230791,
        4.618557139549237,
        4.618575737867684,
        4.618594813066091,
        4.618613411384537,
        4.618632486582944,
        4.61865108490139,
        4.618670160099796,
        4.618688758418243,
        4.618707833616649,
        4.618726431935095,
        4.618745507133502,
        4.618764105451949,
        4.618782703770395,
        4.618801778968802,
        4.618820377287248,
        4.618839452485655,
        4.618858050804101,
        4.618877126002507,
        4.618895724320954,
        4.6189143226394,
        4.618933397837806,
        4.6189519961562535,
        4.61897107135466,
        4.618989669673106,
        4.6190082679915525,
        4.619027343189959,
        4.619045941508405,
        4.619065016706812,
        4.619083615025258,
        4.619102213343705,
        4.619121288542112,
        4.619139886860558,
        4.619158962058965,
        4.619177560377411,
        4.619196158695857,
        4.619215233894264,
        4.61923383221271,
        4.619252430531157,
        4.619271505729563,
        4.61929010404801,
        4.619308702366456,
        4.6193277775648625,
        4.619346375883309,
        4.619364974201755,
        4.6193840494001615,
        4.619402647718608,
        4.619421722917014,
        4.619440321235461,
        4.6194589195539075,
        4.619477994752314,
        4.61949659307076,
        4.6195151913892065,
        4.619533789707653,
        4.619552864906059,
        4.619571463224506,
        4.619590061542953,
        4.619609136741359,
        4.619627735059805,
        4.619646333378252,
        4.619665408576658,
        4.619684006895104,
        4.6197026052135515,
        4.619721680411958,
        4.619740278730404,
        4.6197588770488505,
        4.619777475367297,
        4.619796550565703,
        4.6198151488841495,
        4.6198337472025965,
        4.619852822401003,
        4.619871420719449,
        4.6198900190378955,
        4.619908617356342,
        4.619927692554748,
        4.6199462908731945,
        4.619964889191642,
        4.619983487510088,
        4.620002562708494,
        4.620021161026941,
        4.620039759345387,
        4.620058357663833,
        4.62007743286224,
        4.620096031180687,
        4.620114629499133,
        4.620133227817579,
        4.620152303015986,
        4.620170901334432,
        4.620189499652878,
        4.620208097971325,
        4.620226696289771,
        4.620245771488178,
        4.620264369806624,
        4.62028296812507,
        4.6203015664435165,
        4.620320641641923,
        4.62033923996037,
        4.620357838278816,
        4.620376436597263,
        4.620395034915709,
        4.620414110114115,
        4.620432708432562,
        4.620451306751009,
        4.620469905069455,
        4.620488503387901,
        4.620507101706347,
        4.620526176904754,
        4.620544775223201,
        4.620563373541647,
        4.620581971860093,
        4.6206005701785395,
        4.620619168496986,
        4.620638243695392,
        4.620656842013839,
        4.620675440332286,
        4.620694038650732,
        4.620712636969178,
        4.620731235287624,
        4.620750310486031,
        4.620768908804478,
        4.620787507122924,
        4.62080610544137,
        4.6208247037598165,
        4.6208433020782635,
        4.62086190039671,
        4.620880498715156,
        4.6208995739135625,
        4.620918172232009,
        4.620936770550455,
        4.620955368868902,
        4.620973967187348,
        4.620992565505794,
        4.621011163824241,
        4.621029762142687,
        4.621048360461134,
        4.6210674356595405,
        4.621086033977987,
        4.621104632296433,
        4.621123230614879,
        4.621141828933325,
        4.621160427251772,
        4.6211790255702185,
        4.621197623888665,
        4.621216222207111,
        4.621234820525558,
        4.621253418844004,
        4.62127201716245,
        4.621290615480897,
        4.621309690679303,
        4.621328288997749,
        4.6213468873161965,
        4.621365485634643,
        4.621384083953089,
        4.621402682271535,
        4.621421280589982,
        4.621439878908428,
        4.6214584772268745,
        4.621477075545321,
        4.621495673863767,
        4.621514272182214,
        4.62153287050066,
        4.621551468819106,
        4.621570067137553,
        4.621588665456,
        4.621607263774446,
        4.621625862092892,
        4.621644460411338,
        4.6216630587297844,
        4.6216816570482315,
        4.621700255366678,
        4.621718853685124,
        4.62173745200357,
        4.621756050322017,
        4.621774648640463,
        4.62179324695891,
        4.621811845277356,
        4.621830443595802,
        4.621849041914249,
        4.621867640232695,
        4.6218862385511414,
        4.621904836869588,
        4.621923435188035,
        4.621942033506481,
        4.621960631824927,
        4.621979230143373,
        4.6219978284618195,
        4.622016426780267,
        4.622035025098713,
        4.622053623417159,
        4.622072221735605,
        4.622090820054051,
        4.622108941492538,
        4.622127539810984,
        4.62214613812943,
        4.6221647364478775,
        4.622183334766324,
        4.62220193308477,
        4.622220531403216,
        4.622239129721663,
        4.622257728040109,
        4.622276326358556,
        4.622294924677002,
        4.622313522995448,
        4.622331644433935,
        4.622350242752381,
        4.622368841070827,
        4.622387439389274,
        4.62240603770772,
        4.6224246360261665,
        4.622443234344613,
        4.622461832663059,
        4.622480430981506,
        4.622499029299952,
        4.622517150738438,
        4.622535749056885,
        4.622554347375331,
        4.622572945693777,
        4.622591544012224,
        4.622610142330671,
        4.622628740649117,
        4.622646862087603,
        4.622665460406049,
        4.622684058724496,
        4.622702657042942,
        4.622721255361388,
        4.6227398536798345,
        4.622758451998282,
        4.622776573436767,
        4.622795171755214,
        4.622813770073661,
        4.622832368392107,
        4.622850966710553,
        4.622869565028999,
        4.622887686467486,
        4.622906284785932,
        4.622924883104378,
        4.6229434814228245,
        4.622962079741272,
        4.622980201179757,
        4.622998799498204,
        4.62301739781665,
        4.623035996135097,
        4.623054594453543,
        4.623072715892029,
        4.623091314210476,
        4.623109912528922,
        4.623128510847368,
        4.6231471091658145,
        4.623165230604301,
        4.623183828922747,
        4.623202427241194,
        4.62322102555964,
        4.623239146998126,
        4.623257745316573,
        4.623276343635019,
        4.623294941953466,
        4.623313063391952,
        4.623331661710398,
        4.623350260028845,
        4.623368858347291,
        4.623386979785777,
        4.623405578104224,
        4.62342417642267,
        4.623442774741116,
        4.623460896179602,
        4.623479494498049,
        4.6234980928164955,
        4.623516691134942,
        4.623534812573428,
        4.6235534108918745,
        4.623572009210321,
        4.623590607528767,
        4.623608728967254,
        4.6236273272857,
        4.623645925604146,
        4.623664047042633,
        4.623682645361079,
        4.623701243679525,
        4.623719365118012,
        4.623737963436458,
        4.623756561754904,
        4.62377516007335,
        4.623793281511837,
        4.623811879830283,
        4.623830478148729,
        4.623848599587216,
        4.623867197905662,
        4.6238857962241084,
        4.623903917662595,
        4.623922515981041,
        4.6239411142994875,
        4.623959235737974,
        4.62397783405642,
        4.623996432374867,
        4.624014553813353,
        4.624033152131799,
        4.624051273570285,
        4.624069871888732,
        4.6240884702071785,
        4.624106591645664,
        4.6241251899641105,
        4.624143788282558,
        4.624161909721043,
        4.6241805080394895,
        4.624199106357937,
        4.624217227796422,
        4.624235826114869,
        4.624253947553355,
        4.6242725458718015,
        4.624291144190248,
        4.624309265628734,
        4.6243278639471805,
        4.624345985385667,
        4.624364583704113,
        4.62438318202256,
        4.624401303461045,
        4.6244199017794925,
        4.624438023217978,
        4.6244566215364244,
        4.6244752198548715,
        4.624493341293357,
        4.6245119396118035,
        4.62453006105029,
        4.624548659368736,
        4.624566780807223,
        4.624585379125669,
        4.624603500564155,
        4.624622098882601,
        4.624640697201048,
        4.624658818639534,
        4.62467741695798,
        4.624695538396467,
        4.624714136714913,
        4.6247322581534,
        4.624750856471846,
        4.624768977910332,
        4.624787576228779,
        4.624805697667265,
        4.624824295985711,
        4.624842894304158,
        4.624861015742644,
        4.62487961406109,
        4.624897735499577,
        4.624916333818023,
        4.624934455256509,
        4.624953053574956,
        4.6249711750134415,
        4.624989773331888,
        4.625007894770374,
        4.6250264930888205,
        4.625044614527307,
        4.625063212845753,
        4.625081334284239,
        4.625099932602686,
        4.625118054041172,
        4.625136175479659,
        4.625154773798105,
        4.625172895236591,
        4.625191493555037,
        4.625209614993524,
        4.62522821331197,
        4.625246334750456,
        4.625264933068903,
        4.625283054507388,
        4.6253016528258355,
        4.625319774264321,
        4.6253383725827675,
        4.625356494021254,
        4.62537461545974,
        4.625393213778187,
        4.625411335216673,
        4.625429933535119,
        4.625448054973606,
        4.625466653292052,
        4.6254847747305385,
        4.625502896169024,
        4.6255214944874705,
        4.625539615925957,
        4.625558214244403,
        4.625576335682889,
        4.625594457121376,
        4.625613055439822,
        4.625631176878309,
        4.625649775196755,
        4.625667896635241,
        4.625686018073727,
        4.625704616392174,
        4.625997420687714,
        4.626015542126201,
        4.626033663564686,
        4.6260522618831335,
        4.626070383321619,
        4.626088504760106,
        4.626107103078552,
        4.626125224517038,
        4.626143345955525,
        4.626161944273971,
        4.626180065712457,
        4.626198187150943,
        4.626216785469389,
        4.626234906907876,
        4.626253028346362,
        4.6262711497848485,
        4.6264356733711045,
        4.626453794809591,
        4.626472393128037,
        4.626490514566524,
        4.62650863600501,
        4.6265267574434965,
        4.626545355761943,
        4.6265634772004285,
        4.626581598638915,
        4.626599720077401,
        4.626618318395848,
        4.626636439834334,
        4.6266545612728205,
        4.626672682711306,
        4.6266912810297525,
        4.626709402468239,
        4.626727523906725,
        4.626745645345212,
        4.626763766783697,
        4.626782365102144,
        4.62680048654063,
        4.626818607979116,
        4.626836729417603,
        4.626855327736049,
        4.626873449174536,
        4.626891570613021,
        4.626909692051508,
        4.626927813489994,
        4.62694641180844,
        4.626964533246927,
        4.6269826546854125,
        4.627000776123899,
        4.627018897562385,
        4.627037019000872,
        4.627055617319318,
        4.6270737387578045,
        4.62709186019629,
        4.627109981634777,
        4.627128103073263,
        4.627146224511749,
        4.627164822830196,
        4.627182944268681,
        4.627201065707168,
        4.627219187145654,
        4.6272373085841405,
        4.627255430022626,
        4.627274028341073,
        4.627292149779559,
        4.627310271218046,
        4.627328392656532,
        4.627346514095018,
        4.627364635533504,
        4.627382756971991,
        4.6274008784104765,
        4.627419476728923,
        4.627437598167409,
        4.627455719605895,
        4.627473841044382,
        4.627491962482868,
        4.627510083921354,
        4.62752820535984,
        4.627546326798327,
        4.627564448236813,
        4.627582569675299,
        4.627601167993745,
        4.627619289432231,
        4.627637410870718,
        4.627655532309204,
        4.62767365374769,
        4.627691775186176,
        4.627709896624663,
        4.627728018063149,
        4.627746139501635,
        4.627764260940121,
        4.627782382378608,
        4.6278005038170935,
        4.62781862525558,
        4.627836746694066,
        4.627854868132553,
        4.627873466450999,
        4.6278915878894855,
        4.627909709327971,
        4.627927830766458,
        4.627945952204944,
        4.62796407364343,
        4.627982195081916,
        4.628000316520403,
        4.628018437958889,
        4.628036559397375,
        4.628054680835861,
        4.628072802274348,
        4.628090923712834,
        4.62810904515132,
        4.628127166589806,
        4.628145288028293,
        4.6281634094667785,
        4.628181530905265,
        4.628199652343751,
        4.628217773782238,
        4.628235895220723,
        4.62825401665921,
        4.628272138097696,
        4.628290259536183,
        4.628308380974668,
        4.628326502413155,
        4.628344623851641,
        4.6283627452901275,
        4.628380866728613,
        4.6283989881671,
        4.628416632725625,
        4.628434754164112,
        4.628452875602598,
        4.6284709970410844,
        4.62848911847957,
        4.628507239918057,
        4.628525361356543,
        4.629772402452372,
        4.6311281721791175,
        4.631149631777324,
        4.631170614495572,
        4.631191597213819,
        4.631213056812027,
        4.631234039530273,
        4.631255022248521,
        4.6312764818467285,
        4.631297464564976,
        4.631318447283223,
        4.63133990688143,
        4.631360889599677,
        4.631381872317925,
        4.631403331916132,
        4.631424314634379,
        4.631445297352626,
        4.631466756950834,
        4.631487739669081,
        4.631508722387328,
        4.631530181985536,
        4.631551164703783,
        4.63157214742203,
        4.631593607020237,
        4.631614589738485,
        4.631635572456732,
        4.631656555174979,
        4.631678014773186,
        4.6316989974914335,
        4.631719980209681,
        4.631741439807888,
        4.631762422526135,
        4.6317834052443825,
        4.63180438796263,
        4.631825847560837,
        4.631846830279084,
        4.631867812997331,
        4.631888795715579,
        4.6319102553137865,
        4.631931238032033,
        4.63195222075028,
        4.631973203468528,
        4.631994186186775,
        4.632015645784982,
        4.632036628503229,
        4.632057611221477,
        4.632078593939724,
        4.632099576657971,
        4.632121036256178,
        4.632142018974426,
        4.632163001692673,
        4.63218398441092,
        4.632204967129168,
        4.6322264267273745,
        4.632247409445622,
        4.632268392163869,
        4.632289374882117,
        4.632310357600364,
        4.632331340318611,
        4.632352799916818,
        4.6323737826350655,
        4.632394765353313,
        4.63241574807156,
        4.632436730789807,
        4.632457713508054,
        4.632478696226301,
        4.632500155824509,
        4.6325211385427565,
        4.632542121261003,
        4.63256310397925,
        4.632584086697498,
        4.632605069415745,
        4.632626052133992,
        4.63264703485224,
        4.632668017570486,
        4.632689477168694,
        4.632710459886941,
        4.632731442605189,
        4.632752425323435,
        4.6327734080416825,
        4.63279439075993,
        4.632815373478177,
        4.6328363561964245,
        4.632857338914672,
        4.632878321632919,
        4.632899304351166,
        4.632920287069413,
        4.63294126978766,
        4.632962252505908,
        4.632983235224155,
        4.6330042179424025,
        4.633025677540609,
        4.633046660258857,
        4.633067642977104,
        4.633088625695351,
        4.633109608413598,
        4.633130591131845,
        4.633151573850093,
        4.63317255656834,
        4.633193539286587,
        4.633214522004835,
        4.633235504723082,
        4.6332564874413285,
        4.633277470159576,
        4.633298452877823,
        4.6333194355960705,
        4.633340418314318,
        4.633361401032565,
        4.633381906870852,
        4.6334028895890995,
        4.633423872307346,
        4.633444855025593,
        4.633465837743841,
        4.633486820462088,
        4.633507803180335,
        4.633528785898583,
        4.633570751335077,
        4.633864032510577,
        4.633885015228825,
        4.633905521067112,
        4.633926503785359,
        4.633947486503606,
        4.633968469221854,
        4.633989451940101,
        4.6340104346583475,
        4.634031417376595,
        4.634051923214882,
        4.634072905933129,
        4.6340938886513765,
        4.634114871369624,
        4.634135854087871,
        4.634156836806119,
        4.6341773426444055,
        4.634198325362653,
        4.634219308080899,
        4.634240290799147,
        4.634261273517394,
        4.634282256235641,
        4.634302762073928,
        4.634323744792176,
        4.634344727510423,
        4.6343657102286695,
        4.634386692946917,
        4.634407198785204,
        4.634428181503451,
        4.6344491642216985,
        4.634470146939946,
        4.634490652778233,
        4.63451163549648,
        4.6345326182147275,
        4.634553600932975,
        4.634574106771262,
        4.634595089489509,
        4.634616072207756,
        4.634637054926003,
        4.63465756076429,
        4.634678543482537,
        4.634699526200785,
        4.634720508919032,
        4.634741014757319,
        4.634761997475566,
        4.634782980193814,
        4.634803486032101,
        4.634824468750348,
        4.634845451468594,
        4.634866434186842,
        4.634886940025129,
        4.634907922743376,
        4.634928905461623,
        4.63494941129991,
        4.634970394018158,
        4.634991376736405,
        4.635011882574692,
        4.635032865292939,
        4.635053848011187,
        4.635074353849474,
        4.635095336567721,
        4.6351163192859675,
        4.635136825124255,
        4.635157807842502,
        4.635178790560749,
        4.635199296399036,
        4.635220279117283,
        4.635241261835531,
        4.635261767673818,
        4.635282750392065,
        4.635303733110312,
        4.635324238948599,
        4.635345221666847,
        4.635365727505134,
        4.635386710223381,
        4.635407692941628,
        4.635428198779915,
        4.635449181498163,
        4.63546968733645,
        4.635490670054697,
        4.635511652772943,
        4.63553215861123,
        4.635553141329478,
        4.635573647167765,
        4.635594629886012,
        4.635615135724299,
        4.635636118442546,
        4.635657101160794,
        4.635677606999081,
        4.635698589717328,
        4.635719095555615,
        4.635740078273862,
        4.635760584112149,
        4.6357815668303965,
        4.6358020726686835,
        4.635823055386931,
        4.635844038105178,
        4.635864543943465,
        4.6358855266617125,
        4.635906032499999,
        4.635927015218247,
        4.635947521056534,
        4.635968503774781,
        4.635989009613068,
        4.636009992331315,
        4.636030498169602,
        4.636051480887849,
        4.636071986726137,
        4.636092969444383,
        4.636113475282671,
        4.636134458000917,
        4.636154963839205,
        4.636175946557452,
        4.636196452395739,
        4.6362169582340265,
        4.636237940952273,
        4.636258446790561,
        4.636279429508807,
        4.636299935347095,
        4.6363209180653415,
        4.6363414239036285,
        4.636362406621876,
        4.636382912460163,
        4.636403418298451,
        4.636424401016697,
        4.636444906854984,
        4.636465889573231,
        4.636486395411518,
        4.636507378129766,
        4.636527883968053,
        4.63654838980634,
        4.636569372524587,
        4.636589878362874,
        4.636610861081121,
        4.636631366919408,
        4.636651872757696,
        4.636672855475942,
        4.636693361314229,
        4.636714344032477,
        4.636734849870764,
        4.6367553557090515,
        4.636776338427298,
        4.636796844265586,
        4.636817350103873,
        4.636838332822119,
        4.636858838660407,
        4.636879344498694,
        4.636900327216941,
        4.636920833055228,
        4.636941815773475,
        4.636962321611763,
        4.6369828274500495,
        4.637003810168297,
        4.637024316006584,
        4.637044821844871,
        4.637065804563118,
        4.637086310401405,
        4.637106816239692,
        4.637127322077979,
        4.637148304796226,
        4.637168810634513,
        4.6371893164728,
        4.6372102991910475,
        4.6372308050293345,
        4.637251310867621,
        4.637272293585869,
        4.637292799424156,
        4.637313305262443,
        4.63733381110073,
        4.637354793818977,
        4.637375299657264,
        4.637395805495551,
        4.637416311333838,
        4.637437294052085,
        4.637457799890372,
        4.63747830572866,
        4.637498811566947,
        4.637519794285194,
        4.637540300123481,
        4.637560805961768,
        4.637581311800055,
        4.637602294518302,
        4.637622800356589,
        4.637643306194876,
        4.637663812033163,
        4.63768431787145,
        4.6377053005896975,
        4.6377258064279845,
        4.637746312266271,
        4.637766818104558,
        4.637787800822806,
        4.637808306661093,
        4.63782881249938,
        4.6378493183376674,
        4.637869824175954,
        4.637890330014241,
        4.637911312732489,
        4.637931818570776,
        4.637952324409063,
        4.6379728302473495,
        4.6379933360856365,
        4.638013841923923,
        4.638034824642171,
        4.638055330480458,
        4.638075836318745,
        4.638096342157032,
        4.6381168479953185,
        4.638137353833606,
        4.638157859671893,
        4.638178842390141,
        4.638199348228428,
        4.6382198540667146,
        4.6382403599050015,
        4.638260865743288,
        4.638281371581575,
        4.638301877419862,
        4.638322383258149,
        4.638343365976397,
        4.638363871814684,
        4.6383843776529705,
        4.638404883491258,
        4.638425389329545,
        4.638445895167832,
        4.638466401006119,
        4.638486906844406,
        4.638507412682693,
        4.63852791852098,
        4.638548424359267,
        4.638568930197554,
        4.638589912915801,
        4.638610418754088,
        4.638630924592376,
        4.638651430430663,
        4.63867193626895,
        4.638692442107237,
        4.638712947945524,
        4.638733453783811,
        4.638753959622098,
        4.638774465460385,
        4.638794971298672,
        4.638815477136959,
        4.638835982975246,
        4.638856488813533,
        4.63887699465182,
        4.638897500490107,
        4.638918006328394,
        4.638938512166681,
        4.638959018004968,
        4.638979523843256,
        4.639000029681543,
        4.63902053551983,
        4.639041041358117,
        4.639061547196404,
        4.639082053034691,
        4.6391025588729775,
        4.6391230647112645,
        4.639143570549551,
        4.639164076387839,
        4.639184582226126,
        4.639205088064413,
        4.6392255939027,
        4.639246099740987,
        4.639266605579274,
        4.639287111417561,
        4.639307617255848,
        4.639328123094135,
        4.639348152052462,
        4.639368657890749,
        4.639389163729036,
        4.639409669567323,
        4.63943017540561,
        4.639450681243897,
        4.639471187082185,
        4.639491692920472,
        4.639512198758759,
        4.639532704597046,
        4.6395532104353325,
        4.6395737162736195,
        4.639593745231947,
        4.639614251070234,
        4.639634756908521,
        4.639655262746808,
        4.639675768585095,
        4.639696274423382,
        4.639716780261669,
        4.6397372860999555,
        4.639757315058283,
        4.63977782089657,
        4.639798326734857,
        4.639818832573144,
        4.639839338411431,
        4.639859844249718,
        4.639880350088005,
        4.639900379046332,
        4.639920884884619,
        4.639941390722906,
        4.639961896561193,
        4.63998240239948,
        4.640002908237767,
        4.640022937196094,
        4.640043443034381,
        4.640063948872668,
        4.640084454710955,
        4.640104960549242,
        4.640125466387529,
        4.640145495345856,
        4.640166001184143,
        4.64018650702243,
        4.640207012860717,
        4.640227518699004,
        4.6402475476573315,
        4.640268053495618,
        4.640288559333905,
        4.640309065172192,
        4.640329094130519,
        4.640349599968806,
        4.640370105807094,
        4.640390611645381,
        4.6404111174836675,
        4.640431146441994,
        4.640451652280281,
        4.640472158118568,
        4.640492663956856,
        4.640512692915182,
        4.640533198753469,
        4.640553704591756,
        4.640574210430043,
        4.640594239388371,
        4.6406147452266575,
        4.6406352510649445,
        4.640655280023271,
        4.640675785861558,
        4.640696291699846,
        4.640716797538133,
        4.640736826496459,
        4.640757332334746,
        4.640777838173033,
        4.6407978671313606,
        4.6408183729696475,
        4.640838878807934,
        4.640858907766261,
        4.640879413604548,
        4.640899919442836,
        4.640920425281123,
        4.640940454239449,
        4.640960960077736,
        4.640981465916023,
        4.6410014948743505,
        4.6410220007126375,
        4.641042506550924,
        4.641062535509251,
        4.641083041347538,
        4.641103547185826,
        4.641123576144152,
        4.641144081982439,
        4.641164110940766,
        4.641184616779054,
        4.6412051226173405,
        4.641225151575667,
        4.641245657413954,
        4.641266163252241,
        4.641286192210568,
        4.641306698048855,
        4.641326727007182,
        4.641347232845469,
        4.641367738683756,
        4.641387767642083,
        4.64140827348037,
        4.641428302438697,
        4.641448808276984,
        4.641469314115271,
        4.641489343073598,
        4.641509848911885,
        4.641529877870211,
        4.641773563529855,
        4.641794069368142,
        4.64181409832647,
        4.641834604164757,
        4.641854633123083,
        4.64187513896137,
        4.641895167919698,
        4.6419156737579845,
        4.641935702716311,
        4.641956208554598,
        4.641976237512925,
        4.641996743351212,
        4.642016772309539,
        4.642037278147826,
        4.642057307106153,
        4.64207781294444,
        4.642097841902767,
        4.642118347741054,
        4.642138376699381,
        4.642158882537668,
        4.642178911495995,
        4.6421994173342815,
        4.642219446292609,
        4.642239952130896,
        4.642259981089222,
        4.642280486927509,
        4.642300515885837,
        4.642321021724124,
        4.64234105068245,
        4.642361079640778,
        4.642381585479065,
        4.642401614437391,
        4.642422120275678,
        4.6424421492340056,
        4.6424626550722925,
        4.642482684030619,
        4.642503189868906,
        4.642523218827233,
        4.64254324778556,
        4.642563753623847,
        4.642583782582174,
        4.642604288420461,
        4.642624317378788,
        4.642644346337115,
        4.642664852175402,
        4.642684881133729,
        4.642705386972016,
        4.642725415930343,
        4.64274544488867,
        4.6427659507269565,
        4.642785979685283,
        4.642806485523571,
        4.642826514481897,
        4.642846543440224,
        4.642867049278511,
        4.642887078236838,
        4.642907107195165,
        4.642927613033452,
        4.642947641991779,
        4.642967670950106,
        4.642988176788393,
        4.64300820574672,
        4.643028234705047,
        4.643048740543334,
        4.643068769501661,
        4.643088798459988,
        4.6431093042982745,
        4.643129333256601,
        4.6431493622149285,
        4.643169868053215,
        4.643189897011542,
        4.643209925969869,
        4.643230431808156,
        4.643250460766483,
        4.64327048972481,
        4.643290995563097,
        4.643311024521424,
        4.643331053479751,
        4.643351559318038,
        4.643371588276365,
        4.643391617234691,
        4.643411646193019,
        4.6434321520313055,
        4.643452180989632,
        4.6434722099479595,
        4.6434927157862464,
        4.643512744744573,
        4.6435327737029,
        4.643552802661227,
        4.643573308499514,
        4.643593337457841,
        4.643613366416168,
        4.643633395374494,
        4.643653901212781,
        4.643673930171109,
        4.643693959129435,
        4.643713988087763,
        4.64373449392605,
        4.643754522884376,
        4.643774551842704,
        4.64379458080103,
        4.643814609759357,
        4.643835115597644,
        4.643855144555971,
        4.643875173514298,
        4.643895202472625,
        4.6439152314309515,
        4.6439357372692385,
        4.643955766227566,
        4.643975795185892,
        4.643995824144219,
        4.644015853102546,
        4.644036358940833,
        4.64405638789916,
        4.644076416857487,
        4.644096445815814,
        4.64411647477414,
        4.644136503732468,
        4.644157009570755,
        4.644177038529081,
        4.644197067487409,
        4.644217096445735,
        4.644237125404062,
        4.644257154362389,
        4.644277660200676,
        4.644297689159003,
        4.64431771811733,
        4.644337747075657,
        4.644357776033984,
        4.644377804992311,
        4.644397833950637,
        4.644418339788924,
        4.6444383687472515,
        4.644458397705578,
        4.644478426663905,
        4.644498455622232,
        4.6445184845805585,
        4.644538513538886,
        4.6445585424972124,
        4.64457857145554,
        4.644599077293827,
        4.644619106252153,
        4.64463913521048,
        4.644659164168807,
        4.644679193127134,
        4.644699222085461,
        4.644719251043788,
        4.644739280002114,
        4.644759308960442,
        4.644779337918768,
        4.644799366877096,
        4.644819395835422,
        4.644839424793749,
        4.644859930632036,
        4.644879959590363,
        4.64489998854869,
        4.644920017507017,
        4.644940046465344,
        4.64496007542367,
        4.644980104381998,
        4.645000133340324,
        4.645020162298652,
        4.645040191256978,
        4.645060220215305,
        4.645080249173632,
        4.645100278131959,
        4.645120307090286,
        4.6451403360486125,
        4.645160365006939,
        4.6451803939652665,
        4.645200422923593,
        4.6452204518819205,
        4.645240480840247,
        4.6452605097985735,
        4.645280538756901,
        4.6453005677152275,
        4.645320596673555,
        4.645340625631881,
        4.645360654590208,
        4.645380683548535,
        4.645400712506862,
        4.6454207414651885,
        4.645440770423516,
        4.645460799381842,
        4.64548082834017,
        4.645500857298496,
        4.645520886256823,
        4.64554091521515,
        4.645560944173477,
        4.645580973131804,
        4.645601002090131,
        4.645620554168498,
        4.645640583126824,
        4.645660612085151,
        4.645680641043478,
        4.645700670001805,
        4.645720698960132,
        4.645740727918459,
        4.645760756876785,
        4.645780785835113,
        4.645800814793439,
        4.645820843751767,
        4.645840872710093,
        4.64586090166842,
        4.645880453746787,
        4.645900482705113,
        4.645920511663441,
        4.645940540621767,
        4.645960569580095,
        4.645980598538421,
        4.646120324366749,
        4.646140353325076,
        4.646160382283403,
        4.64618041124173,
        4.646199963320097,
        4.646219992278423,
        4.646240021236751,
        4.646260050195077,
        4.646280079153404,
        4.646300108111731,
        4.646319660190097,
        4.646339689148425,
        4.646359718106751,
        4.646379747065079,
        4.646399776023405,
        4.646419804981732,
        4.646439357060099,
        4.646459386018426,
        4.646479414976753,
        4.646499443935079,
        4.646519472893407,
        4.646539024971773,
        4.6465590539301,
        4.646579082888427,
        4.646599111846754,
        4.646619140805081,
        4.646638692883448,
        4.646658721841774,
        4.646678750800101,
        4.646698779758428,
        4.646718808716755,
        4.646738360795122,
        4.646758389753448,
        4.646778418711776,
        4.646798447670102,
        4.646817999748469,
        4.646838028706796,
        4.646858057665122,
        4.64687808662345,
        4.646897638701817,
        4.646917667660143,
        4.64693769661847,
        4.646957725576797,
        4.646977277655163,
        4.646997306613491,
        4.647017335571817,
        4.647036887650184,
        4.647056916608511,
        4.647076945566838,
        4.647096974525165,
        4.647116526603532,
        4.6471365555618585,
        4.647156584520185,
        4.647176136598552,
        4.647196165556879,
        4.647216194515206,
        4.6472362234735325,
        4.6472557755518995,
        4.647275804510226,
        4.6472958334685535,
        4.64731538554692,
        4.647335414505247,
        4.6473554434635735,
        4.647374995541941,
        4.647395024500267,
        4.6474150534585945,
        4.647434605536961,
        4.647454634495288,
        4.647474663453615,
        4.647494215531982,
        4.647514244490308,
        4.647534273448636,
        4.647553825527002,
        4.647573854485329,
        4.647593883443656,
        4.647613435522023,
        4.647633464480349,
        4.647653016558716,
        4.647673045517043,
        4.64769307447537,
        4.647712626553736,
        4.647732655512064,
        4.64775268447039,
        4.647772236548757,
        4.647792265507084,
        4.647811817585451,
        4.647831846543777,
        4.647851875502104,
        4.647871427580471,
        4.647891456538798,
        4.647911008617164,
        4.647931037575492,
        4.647951066533818,
        4.647970618612185,
        4.647990647570512,
        4.648010199648879,
        4.6480302286072055,
        4.648050257565533,
        4.648069809643899,
        4.6480898386022265,
        4.648109390680593,
        4.64812941963892,
        4.648148971717286,
        4.648169000675614,
        4.64818855275398,
        4.648208581712307,
        4.648228610670634,
        4.648248162749001,
        4.648268191707327,
        4.648287743785694,
        4.648307772744021,
        4.648327324822388,
        4.648347353780714,
        4.648366905859081,
        4.648386934817408,
        4.648406486895775,
        4.648426515854101,
        4.648446067932468,
        4.648466096890796,
        4.648485648969162,
        4.648505677927489,
        4.6485252300058555,
        4.648545258964183,
        4.648564811042549,
        4.6485848400008765,
        4.648604392079243,
        4.64862442103757,
        4.648643973115936,
        4.648664002074264,
        4.64868355415263,
        4.648703583110957,
        4.648723135189324,
        4.648743164147651,
        4.648762716226018,
        4.648782745184344,
        4.648802297262711,
        4.648822326221038,
        4.648841878299405,
        4.648861430377771,
        4.648881459336098,
        4.648901011414464,
        4.648921040372792,
        4.648940592451159,
        4.648960621409485,
        4.648980173487852,
        4.649000202446179,
        4.649019754524546,
        4.649039306602912,
        4.6490593355612395,
        4.649078887639606,
        4.649098916597933,
        4.649118468676299,
        4.649138497634627,
        4.649158049712993,
        4.64917760179136,
        4.649197630749687,
        4.649217182828053,
        4.649237211786381,
        4.649256763864747,
        4.649276315943114,
        4.64929634490144,
        4.649315896979807,
        4.649335449058174,
        4.649355478016501,
        4.649375030094868,
        4.6493950590531945,
        4.6494146111315615,
        4.649434163209928,
        4.649454192168255,
        4.649473744246622,
        4.649493296324988,
        4.649513325283316,
        4.649532877361682,
        4.649552429440049,
        4.649572458398375,
        4.649592010476742,
        4.649612039435069,
        4.649631591513436,
        4.649808990858617,
        4.649828542936984,
        4.649848095015351,
        4.649868123973677,
        4.649887676052044,
        4.64990722813041,
        4.649927257088738,
        4.649946809167104,
        4.649966361245471,
        4.649985913323838,
        4.6500059422821645,
        4.6500254943605315,
        4.650045046438898,
        4.650065075397225,
        4.650084627475591,
        4.650104179553958,
        4.650123731632325,
        4.650143760590652,
        4.650163312669019,
        4.650182864747386,
        4.650202416825752,
        4.650222445784079,
        4.650241997862445,
        4.650261549940812,
        4.650281102019179,
        4.650301130977506,
        4.650320683055873,
        4.650340235134239,
        4.650359787212606,
        4.650379816170933,
        4.6503993682493,
        4.650418920327667,
        4.650438472406033,
        4.6504580244844,
        4.650478053442726,
        4.650497605521093,
        4.65051715759946,
        4.6505367096778265,
        4.6505562617561935,
        4.650576290714521,
        4.650595842792887,
        4.650615394871254,
        4.650634946949621,
        4.650654499027987,
        4.650674527986315,
        4.650694080064681,
        4.650713632143048,
        4.650733184221415,
        4.650752736299781,
        4.650772765258108,
        4.6507923173364745,
        4.6508118694148415,
        4.6508314214932085,
        4.650850973571575,
        4.650870525649942,
        4.650890077728309,
        4.650910106686635,
        4.650929658765002,
        4.650949210843368,
        4.650968762921735,
        4.650988315000102,
        4.6510078670784685,
        4.6510274191568355,
        4.651047448115162,
        4.651067000193529,
        4.651086552271896,
        4.651106104350262,
        4.651125656428629,
        4.651145208506996,
        4.651164760585362,
        4.651184312663729,
        4.651204341622057,
        4.651223893700423,
        4.65124344577879,
        4.651262997857157,
        4.651282549935523,
        4.65130210201389,
        4.651321654092257,
        4.651341206170623,
        4.65136075824899,
        4.651380310327357,
        4.651399862405723,
        4.651419891364051,
        4.651439443442417,
        4.651458995520784,
        4.651478547599151,
        4.651498099677517,
        4.651517651755884,
        4.651537203834251,
        4.651556755912617,
        4.651576307990984,
        4.651595860069351,
        4.651615412147717,
        4.651634964226084,
        4.651654516304451,
        4.6516740683828175,
        4.6516936204611845,
        4.6517131725395515,
        4.651732724617918,
        4.651752276696285,
        4.651771828774652,
        4.651791380853018,
        4.651810932931385,
        4.651830485009752,
        4.651850037088118,
        4.651869589166485,
        4.651889141244852,
        4.651908693323218,
        4.651928245401585,
        4.651947797479952,
        4.651967349558318,
        4.651986901636685,
        4.652006453715052,
        4.652026005793418,
        4.652045557871785,
        4.652065109950152,
        4.652084662028519,
        4.652104214106886,
        4.652123766185253,
        4.652143318263619,
        4.652162870341986,
        4.652182422420353,
        4.652201974498719,
        4.652221526577086,
        4.652241078655453,
        4.652260630733819,
        4.652280182812186,
        4.652299734890553,
        4.652319286968919,
        4.652338839047286,
        4.652358391125653,
        4.652377943204019,
        4.652397495282386,
        4.652417047360753,
        4.6524365994391195,
        4.652455674637526,
        4.652475226715893,
        4.65249477879426,
        4.652514330872626,
        4.652533882950993,
        4.65255343502936,
        4.652572987107726,
        4.652592539186093,
        4.65261209126446,
        4.6526316433428265,
        4.6526511954211935,
        4.6526702706196,
        4.652689822697967,
        4.652709374776333,
        4.6527289268547,
        4.652748478933067,
        4.652768031011433,
        4.6527875830898004,
        4.6528071351681675,
        4.652826210366574,
        4.65284576244494,
        4.652865314523307,
        4.652884866601674,
        4.65290441868004,
        4.652923970758407,
        4.652943522836774,
        4.6529630749151405,
        4.652982150113547,
        4.653001702191914,
        4.653021254270281,
        4.653040806348647,
        4.653060358427014,
        4.653079910505381,
        4.653098985703787,
        4.653118537782154,
        4.653138089860521,
        4.653157641938887,
        4.653177194017254,
        4.653196746095621,
        4.653215821294028,
        4.653235373372394,
        4.653254925450761,
        4.653274477529128,
        4.653294029607494,
        4.653313104805901,
        4.653332656884268,
        4.653352208962635,
        4.653371761041001,
        4.653391313119368,
        4.653410388317774,
        4.653429940396141,
        4.653449492474508,
        4.653469044552875,
        4.653488119751281,
        4.653507671829648,
        4.653527223908014,
        4.653546775986381,
        4.653565851184788,
        4.653585403263155,
        4.653604955341521,
        4.653624507419888,
        4.653644059498255,
        4.653663134696662,
        4.653682686775028,
        4.653702238853395,
        4.653721790931762,
        4.653740866130168,
        4.653760418208535,
        4.653779970286902,
        4.653799045485308,
        4.653818597563674,
        4.653838149642041,
        4.653857701720408,
        4.653876776918815,
        4.653896328997181,
        4.653915881075548,
        4.653934956273955,
        4.653954508352322,
        4.653974060430688,
        4.653993612509055,
        4.6540126877074615,
        4.6540322397858285,
        4.654051791864195,
        4.654070867062601,
        4.654090419140968,
        4.654109971219335,
        4.654129046417742,
        4.654148598496108,
        4.654168150574475,
        4.654187225772882,
        4.654206777851248,
        4.654226329929615,
        4.654245405128021,
        4.654264957206388,
        4.6542845092847545,
        4.654303584483161,
        4.654323136561528,
        4.654342688639895,
        4.654361763838302,
        4.654381315916668,
        4.654400867995035,
        4.654419943193441,
        4.6544394952718084,
        4.654459047350175,
        4.654478122548581,
        4.654497674626948,
        4.654516749825355,
        4.654536301903721,
        4.654555853982088,
        4.6545749291804945,
        4.6545944812588615,
        4.654614033337228,
        4.654633108535634,
        4.654652660614001,
        4.654671735812408,
        4.654691287890775,
        4.654710839969141,
        4.654729915167548,
        4.654749467245915,
        4.654768542444321,
        4.654788094522688,
        4.654807646601054,
        4.654826721799461,
        4.654846273877828,
        4.654865349076235,
        4.654884901154601,
        4.654903976353007,
        4.654923528431374,
        4.654943080509741,
        4.654962155708148,
        4.654981707786514,
        4.655000782984921,
        4.655020335063288,
        4.655039410261694,
        4.655058962340061,
        4.655078037538468,
        4.655097589616834,
        4.655117141695201,
        4.655136216893608,
        4.655155768971974,
        4.65517484417038,
        4.655194396248747,
        4.655213471447154,
        4.655233023525521,
        4.655252098723928,
        4.655271650802294,
        4.6552907260007,
        4.655310278079067,
        4.655329353277474,
        4.655348905355841,
        4.655367980554247,
        4.655387532632614,
        4.65540660783102,
        4.655426159909387,
        4.655445235107794,
        4.65546478718616,
        4.655483862384567,
        4.655503414462934,
        4.65552248966134,
        4.655542041739707,
        4.655561116938114,
        4.65558066901648,
        4.655599744214887,
        4.655619296293254,
        4.65563837149166,
        4.655657923570026,
        4.655676998768433,
        4.65569607396684,
        4.655715626045207,
        4.655734701243613,
        4.65575425332198,
        4.655773328520387,
        4.655792880598753,
        4.65581195579716,
        4.655831507875527,
        4.655850583073933,
        4.65586965827234,
        4.655889210350706,
        4.6559082855491125,
        4.6559278376274795,
        4.655946912825886,
        4.655966464904253,
        4.65598554010266,
        4.656004615301066,
        4.6560241673794325,
        4.656043242577839,
        4.656062794656206,
        4.656081869854613,
        4.656100945053019,
        4.656120497131385,
        4.656139572329792,
        4.656159124408159,
        4.656178199606566,
        4.656197274804972,
        4.656216826883339,
        4.656235902081745,
        4.656254977280152,
        4.656274529358519,
        4.656293604556925,
        4.656313156635292,
        4.656332231833699,
        4.656351307032105,
        4.6563708591104715,
        4.656389934308878,
        4.656409009507285,
        4.656428561585652,
        4.656447636784058,
        4.656466711982465,
        4.656486264060831,
        4.656505339259238,
        4.656524414457644,
        4.656543966536011,
        4.656563041734418,
        4.6565821169328245,
        4.656601669011191,
        4.656620744209597,
        4.656639819408004,
        4.656659371486371,
        4.6566784466847775,
        4.656697521883184,
        4.656717073961551,
        4.656736149159958,
        4.656755224358363,
        4.65677477643673,
        4.656793851635137,
        4.656812926833544,
        4.65683200203195,
        4.656851554110317,
        4.656870629308724,
        4.6568897045071305,
        4.656909256585497,
        4.656928331783903,
        4.65694740698231,
        4.656966482180716,
        4.656986034259083,
        4.65700510945749,
        4.657024184655897,
        4.657043259854303,
        4.657062811932669,
        4.657081887131076,
        4.657100962329483,
        4.65712051440785,
        4.657139589606256,
        4.657158664804663,
        4.657177740003069,
        4.657196815201476,
        4.657216367279842,
        4.657235442478249,
        4.657254517676655,
        4.657273592875062,
        4.657293144953429,
        4.6573122201518355,
        4.657331295350242,
        4.657350370548649,
        4.657369922627015,
        4.6573889978254215,
        4.657408073023828,
        4.657427148222235,
        4.657446223420641,
        4.657465775499008,
        4.657484850697415,
        4.6575039258958215,
        4.657523001094228,
        4.657542076292634,
        4.657561628371001,
        4.6575807035694075,
        4.657599778767814,
        4.657618853966221,
        4.657637929164627,
        4.657657004363034,
        4.657676556441401,
        4.657695631639807,
        4.657714706838213,
        4.65773378203662,
        4.657752857235026,
        4.657771932433433,
        4.6577914845118,
        4.657810559710207,
        4.657829634908613,
        4.65784871010702,
        4.657944562979012,
        4.657963638177419,
        4.657982713375826,
        4.658001788574232,
        4.658020863772639,
        4.658039938971045,
        4.658059014169452,
        4.658078566247819,
        4.658097641446225,
        4.658116716644631,
        4.658135791843038,
        4.6581548670414445,
        4.658173942239851,
        4.658193017438258,
        4.658212092636664,
        4.658231167835071,
        4.658250243033478,
        4.658269795111845,
        4.658288870310251,
        4.658307945508658,
        4.658327020707064,
        4.65834609590547,
        4.658365171103877,
        4.658384246302283,
        4.65840332150069,
        4.6584223966990965,
        4.658441471897503,
        4.65846054709591,
        4.658479622294316,
        4.658498697492723,
        4.6585177726911295,
        4.658536847889536,
        4.658556399967903,
        4.65857547516631,
        4.6585945503647155,
        4.658613625563122,
        4.658632700761529,
        4.658651775959935,
        4.658670851158342,
        4.6586899263567485,
        4.658709001555155,
        4.658728076753562,
        4.658747151951968,
        4.658766227150375,
        4.6587853023487815,
        4.658804377547188,
        4.658823452745595,
        4.658842527944001,
        4.658861603142408,
        4.6588806783408145,
        4.658899753539221,
        4.658918828737628,
        4.658937903936034,
        4.65895697913444,
        4.658976054332847,
        4.658995129531253,
        4.65901420472966,
        4.6590332799280665,
        4.659052355126473,
        4.65907143032488,
        4.659090505523286,
        4.659109580721693,
        4.6591286559200995,
        4.659147731118506,
        4.659166329436952,
        4.659185404635359,
        4.6592044798337655,
        4.659223555032172,
        4.659242630230579,
        4.659261705428985,
        4.659280780627392,
        4.6592998558257985,
        4.659318931024205,
        4.659338006222612,
        4.659357081421018,
        4.659376156619425,
        4.659395231817831,
        4.659414307016237,
        4.659433382214644,
        4.659451980533091,
        4.659471055731498,
        4.659490130929903,
        4.65950920612831,
        4.6595282813267165,
        4.659547356525123,
        4.65956643172353,
        4.659585506921936,
        4.659604582120343,
        4.6596236573187495,
        4.659642255637196,
        4.659661330835602,
        4.659680406034009,
        4.6596994812324155,
        4.659718556430822,
        4.659737631629229,
        4.659756706827635,
        4.659775782026042,
        4.659794380344488,
        4.659813455542895,
        4.659832530741301,
        4.659851605939708,
        4.6598706811381145,
        4.659889756336521,
        4.659908831534928,
        4.659927429853374,
        4.6599465050517805,
        4.659965580250187,
        4.659984655448594,
        4.660003730647,
        4.660022805845407,
        4.660041404163853,
        4.66006047936226,
        4.660079554560666,
        4.660098629759073,
        4.66011770495748,
        4.660136780155886,
        4.660155378474332,
        4.660174453672739,
        4.660193528871146,
        4.660212604069552,
        4.660231679267959,
        4.660250277586405,
        4.660269352784812,
        4.660288427983218,
        4.660307503181625,
        4.660326578380031,
        4.660345176698478,
        4.660364251896884,
        4.660383327095291,
        4.660402402293697,
        4.660421477492104,
        4.66044007581055,
        4.660459151008957,
        4.660478226207363,
        4.66049730140577,
        4.660515899724216,
        4.660534974922623,
        4.660554050121029,
        4.660573125319436,
        4.660591723637882,
        4.660610798836289,
        4.660629874034695,
        4.660648949233102,
        4.660667547551548,
        4.660686622749955,
        4.660705697948361,
        4.660724773146768,
        4.660743371465214,
        4.660762446663621,
        4.660781521862027,
        4.660800120180474,
        4.66081919537888,
        4.660838270577287,
        4.660857345775693,
        4.66087594409414,
        4.660895019292546,
        4.660914094490953,
        4.660932692809399,
        4.660951768007806,
        4.660970843206212,
        4.660989441524659,
        4.661008516723065,
        4.661027591921472,
        4.661046667119878,
        4.661065265438325,
        4.661084340636732,
        4.661103415835138,
        4.661122014153585,
        4.661141089351991,
        4.661160164550398,
        4.661178762868844,
        4.661197838067251,
        4.661216913265657,
        4.6612355115841035,
        4.66125458678251,
        4.661273661980917,
        4.661292260299363,
        4.6613113354977695,
        4.661462506445141,
        4.661481104763588,
        4.661500179961995,
        4.6615192551604006,
        4.661537853478848,
        4.661556928677254,
        4.661576003875661,
        4.661594602194107,
        4.661613677392514,
        4.66163227571096,
        4.661651350909366,
        4.661670426107773,
        4.661689024426219,
        4.661708099624626,
        4.661726697943072,
        4.661745773141479,
        4.661764371459925,
        4.661783446658331,
        4.661802521856738,
        4.661821120175185,
        4.661840195373591,
        4.661858793692038,
        4.6618778688904445,
        4.661896467208891,
        4.661915542407297,
        4.661934617605704,
        4.66195321592415,
        4.661972291122557,
        4.661990889441003,
        4.6620099646394095,
        4.662028562957856,
        4.662047638156262,
        4.6620662364747085,
        4.662085311673115,
        4.662103909991562,
        4.662122985189969,
        4.662141583508415,
        4.662160658706822,
        4.662179257025268,
        4.662198332223674,
        4.662217407422081,
        4.662236005740527,
        4.662255080938934,
        4.66227367925738,
        4.662292754455787,
        4.662311352774233,
        4.662330427972639,
        4.6623490262910865,
        4.662368101489493,
        4.662386699807939,
        4.6624052981263855,
        4.662424373324792,
        4.662442971643238,
        4.662462046841645,
        4.662480645160091,
        4.662499720358498,
        4.662518318676944,
        4.6625373938753505,
        4.662555992193798,
        4.662575067392204,
        4.66259366571065,
        4.662612740909057,
        4.662631339227503,
        4.66265041442591,
        4.662669012744356,
        4.662687611062802,
        4.662706686261209,
        4.662725284579655,
        4.662744359778062,
        4.662762958096509,
        4.662782033294915,
        4.6628006316133614,
        4.662819229931808,
        4.662838305130214,
        4.66285690344866,
        4.662875978647067,
        4.662894576965513,
        4.66291365216392,
        4.662932250482367,
        4.662950848800813,
        4.66296992399922,
        4.662988522317666,
        4.6630075975160725,
        4.663026195834519,
        4.663044794152965,
        4.6630638693513715,
        4.663082467669818,
        4.663101065988265,
        4.663120141186671,
        4.663138739505118,
        4.663157814703524,
        4.66317641302197,
        4.663195011340417,
        4.663214086538823,
        4.663232684857269,
        4.6632512831757165,
        4.663270358374123,
        4.663288956692569,
        4.663308031890976,
        4.663326630209422,
        4.663345228527868,
        4.663364303726275,
        4.663382902044721,
        4.663401500363168,
        4.663420575561575,
        4.663439173880021,
        4.663457772198467,
        4.663476847396874,
        4.66349544571532,
        4.663514044033766,
        4.663533119232173,
        4.66355171755062,
        4.663570315869066,
        4.663588914187512,
        4.663607989385919,
        4.663626587704365,
        4.663645186022811,
        4.663664261221218,
        4.663682859539665,
        4.663701457858111,
        4.663720533056518,
        4.663739131374964,
        4.66375772969341,
        4.663776328011856,
        4.663795403210263,
        4.66381400152871,
        4.663832599847156,
        4.663851198165602,
        4.663870273364009,
        4.663888871682455,
        4.663907470000901,
        4.663926545199308,
        4.663945143517755,
        4.663963741836201,
        4.663982340154647,
        4.664001415353054,
        4.6640200136715,
        4.664038611989946,
        4.6640572103083935,
        4.6640762855068,
        4.664094883825246,
        4.6641134821436925,
        4.664132080462139,
        4.664150678780585,
        4.6641697539789915,
        4.6641883522974386,
        4.664206950615885,
        4.664225548934331,
        4.6642446241327375,
        4.664263222451184,
        4.66428182076963,
        4.664300419088077,
        4.664319017406523,
        4.66433809260493,
        4.664356690923376,
        4.664375289241822,
        4.664393887560268,
        4.6644124858787155,
        4.664431561077122,
        4.664450159395568,
        4.6644687577140145,
        4.664487356032461,
        4.664505954350907,
        4.664524552669354,
        4.6645436278677606,
        4.664562226186207,
        4.664580824504653,
        4.664599422823099,
        4.664618021141546,
        4.664636619459992,
        4.664655694658399,
        4.664674292976845,
        4.664692891295291,
        4.664711489613738,
        4.664730087932185,
        4.664748686250631,
        4.664767284569077,
        4.664785882887523,
        4.66480495808593,
        4.664823556404376,
        4.664842154722823,
        4.664860753041269,
        4.6648793513597155,
        4.664897949678162,
        4.664916547996609,
        4.664935146315055,
        4.664954221513462,
        4.664972819831908,
        4.664991418150354,
        4.6650100164688,
        4.665028614787247,
        4.6650472131056935,
        4.66506581142414,
        4.665084409742586,
        4.665103008061032,
        4.665121606379479,
        4.665140204697925,
        4.665159279896332,
        4.665177878214778,
        4.665196476533224,
        4.665215074851671,
        4.665233673170118,
        4.665252271488564,
        4.66527086980701,
        4.665289468125456,
        4.665308066443903,
        4.6653266647623495,
        4.665345263080796,
        4.665363861399242,
        4.665382459717689,
        4.665401058036135,
        4.665419656354581,
        4.6654382546730275,
        4.665456852991474,
        4.665475451309921,
        4.665494049628367,
        4.665512647946813,
        4.665531246265259,
        4.6655498445837065,
        4.665568442902153,
        4.665587041220599,
        4.6656061164190055,
        4.665624714737452,
        4.665643313055898,
        4.665661911374345,
        4.665680509692791,
        4.665699108011237,
        4.665717229449723,
        4.66573582776817,
        4.665754426086616,
        4.665773024405063,
        4.665791622723509,
        4.665810221041956,
        4.665828819360402,
        4.665847417678848,
        4.6658660159972944,
        4.665884614315741,
        4.665903212634188,
        4.665921810952634,
        4.66594040927108,
        4.665959007589526,
        4.665977605907973,
        4.66599620422642,
        4.666014802544866,
        4.666033400863312,
        4.666051999181758,
        4.666070597500205,
        4.6660891958186514,
        4.666107794137098,
        4.666126392455544,
        4.666144990773991,
        4.666163112212477,
        4.666181710530923,
        4.66620030884937,
        4.666218907167816,
        4.666237505486262,
        4.666256103804709,
        4.666274702123155,
        4.666293300441602,
        4.666311898760048,
        4.666330497078494,
        4.66634909539694,
        4.666367216835427,
        4.666385815153873,
        4.6664044134723195,
        4.666423011790766,
        4.666441610109213,
        4.666460208427659,
        4.666478806746105,
        4.666497405064551,
        4.666515526503038,
        4.666534124821484,
        4.66655272313993,
        4.6665713214583775,
        4.666589919776824,
        4.66660851809527,
        4.666627116413716,
        4.666645237852203,
        4.666663836170649,
        4.666682434489095,
        4.666701032807541,
        4.666719631125988,
        4.666738229444435,
        4.66675635088292,
        4.666774949201367,
        4.666793547519814,
        4.66681214583826,
        4.666830744156706,
        4.666849342475152,
        4.666867463913639,
        4.666886062232085,
        4.666904660550531,
        4.666923258868978,
        4.666941857187425,
        4.66695997862591,
        4.666978576944357,
        4.666997175262804,
        4.66701577358125,
        4.667034371899696,
        4.667052493338183,
        4.667071091656629,
        4.667089689975075,
        4.667108288293521,
        4.667126886611968,
        4.667145008050454,
        4.6671636063689,
        4.667182204687347,
        4.667200803005794,
        4.667218924444279,
        4.667237522762726,
        4.667256121081173,
        4.667274719399619,
        4.667292840838105,
        4.667311439156552,
        4.667330037474998,
        4.667348635793444,
        4.66736675723193,
        4.667385355550377,
        4.667403953868823,
        4.667422552187269,
        4.667440673625756,
        4.667459271944202,
        4.6674778702626485,
        4.667495991701135,
        4.667514590019581,
        4.6675331883380275,
        4.667551786656474,
        4.66756990809496,
        4.667588506413407,
        4.667607104731853,
        4.6676252261703395,
        4.667643824488786,
        4.667662422807232,
        4.6676805442457185,
        4.667699142564165,
        4.667717740882611,
        4.667736339201057,
        4.667754460639544,
        4.66777305895799,
        4.667791657276436,
        4.667809778714923,
        4.667828377033369,
        4.667846975351815,
        4.667865096790302,
        4.667883695108748,
        4.667902293427194,
        4.667920414865681,
        4.667939013184127,
        4.667957134622613,
        4.66797573294106,
        4.667994331259506,
        4.668012452697992,
        4.668031051016439,
        4.668049649334885,
        4.668067770773371,
        4.668086369091817,
        4.668104967410264,
        4.66812308884875,
        4.668141687167196,
        4.668159808605683,
        4.668178406924129,
        4.668197005242575,
        4.668215126681062,
        4.668233724999508,
        4.668251846437995,
        4.668270444756441,
        4.668289043074887,
        4.668307164513373,
        4.66832576283182,
        4.668343884270306,
        4.668362482588752,
        4.668381080907199,
        4.668399202345685,
        4.668417800664131,
        4.668435922102618,
        4.668454520421064,
        4.668472641859551,
        4.668491240177997,
        4.668509838496443,
        4.66852795993493,
        4.668546558253376,
        4.668564679691862,
        4.668583278010308,
        4.668601399448795,
        4.668619997767241,
        4.668638119205728,
        4.668656717524174,
        4.66867483896266,
        4.668693437281107,
        4.668712035599553,
        4.668730157038039,
        4.668748755356486,
        4.6687668767949715,
        4.668785475113418,
        4.668803596551904,
        4.6688221948703506,
        4.668840316308836,
        4.668858914627283,
        4.668877036065769,
        4.668895634384215,
        4.668913755822702,
        4.668932354141148,
        4.668950475579635,
        4.668969073898081,
        4.668987195336567,
        4.669005793655014,
        4.6690239150935,
        4.669042513411946,
        4.669060634850433,
        4.669079233168879,
        4.6690973546073655,
        4.669115476045851,
        4.6691340743642975,
        4.669152195802784,
        4.66917079412123,
        4.669188915559716,
        4.669207513878163,
        4.669225635316649,
        4.669244233635095,
        4.669262355073582,
        4.669280476512068,
        4.669299074830515,
        4.6693171962690005,
        4.669335794587447,
        4.669353916025933,
        4.66937251434438,
        4.669390635782866,
        4.669408757221352,
        4.669427355539798,
        4.669445476978285,
        4.669464075296731,
        4.669482196735217,
        4.669500795053664,
        4.66951891649215,
        4.6695370379306365,
        4.669555636249083,
        4.669573757687568,
        4.6695923560060155,
        4.669610477444501,
        4.669628598882988,
        4.669647197201434,
        4.66966531863992,
        4.669683440078407,
        4.669702038396853,
        4.6697201598353395,
        4.669738758153786,
        4.6697568795922715,
        4.669775001030758,
        4.669793599349204,
        4.669811720787691,
        4.669829842226177,
        4.669848440544623,
        4.66986656198311,
        4.6698846834215955,
        4.669903281740042,
        4.669921403178528,
        4.669939524617014,
        4.669958122935461,
        4.669976244373947,
        4.669994365812434,
        4.67001296413088,
        4.670031085569366,
        4.670049207007852,
        4.6700678053262985,
        4.670085926764785,
        4.671511320965715,
        4.673082640434455,
        4.673104100032662,
        4.673125082750909,
        4.673146542349117,
        4.673168001947324,
        4.673189461545531,
        4.673210921143738,
        4.673231903861986,
        4.673253363460193,
        4.6732748230584,
        4.673296282656608,
        4.673317265374855,
        4.673338724973062,
        4.67336018457127,
        4.673381644169478,
        4.673402626887724,
        4.673424086485932,
        4.673445546084139,
        4.673467005682347,
        4.673487988400594,
        4.673509447998801,
        4.673530907597009,
        4.673552367195216,
        4.673573349913463,
        4.673594809511671,
        4.673616269109878,
        4.673637728708085,
        4.673658711426333,
        4.67368017102454,
        4.673701630622747,
        4.673722613340995,
        4.6737440729392015,
        4.673765532537409,
        4.673786515255657,
        4.6738079748538635,
        4.673829434452071,
        4.673850417170319,
        4.6738718767685254,
        4.673893336366733,
        4.673914319084981,
        4.673935778683187,
        4.673957238281395,
        4.6739782209996426,
        4.673999680597849,
        4.674021140196057,
        4.6740421229143045,
        4.674063582512511,
        4.674085042110719,
        4.6741060248289665,
        4.674127484427173,
        4.674148467145421,
        4.6741699267436285,
        4.674191386341835,
        4.674212369060083,
        4.6742338286582905,
        4.674254811376537,
        4.674276270974745,
        4.6742977305729525,
        4.674318713291199,
        4.674340172889407,
        4.674361155607654,
        4.674382615205861,
        4.674891923003316,
        4.674913382601524,
        4.674934365319771,
        4.674955824917978,
        4.6749768076362255,
        4.674998267234433,
        4.67501924995268,
        4.6750407095508875,
        4.675061692269135,
        4.675083151867342,
        4.675104134585589,
        4.675125117303836,
        4.675146576902044,
        4.675167559620291,
        4.675189019218498,
        4.675210001936746,
        4.675231461534953,
        4.6752524442532,
        4.675273426971447,
        4.675294886569655,
        4.675315869287902,
        4.675337328886109,
        4.675358311604357,
        4.675379294322604,
        4.675400753920811,
        4.675421736639058,
        4.675442719357306,
        4.675464178955513,
        4.67548516167376,
        4.675506621271968,
        4.675527603990215,
        4.675548586708462,
        4.675570046306669,
        4.6755910290249165,
        4.675612011743164,
        4.675633471341371,
        4.675654454059618,
        4.6756754367778655,
        4.675696896376073,
        4.675717879094321,
        4.675738861812567,
        4.675760321410775,
        4.675781304129022,
        4.6758022868472695,
        4.675823746445476,
        4.675844729163724,
        4.675865711881971,
        4.675886694600218,
        4.675908154198425,
        4.675929136916673,
        4.67595011963492,
        4.675971579233128,
        4.675992561951374,
        4.676013544669622,
        4.676034527387869,
        4.676055986986077,
        4.676076969704323,
        4.6760979524225705,
        4.676118935140818,
        4.676140394739026,
        4.676161377457273,
        4.6761823601755195,
        4.676203342893767,
        4.676224802491975,
        4.676245785210222,
        4.676266767928468,
        4.676287750646716,
        4.6763092102449235,
        4.676330192963171,
        4.676351175681418,
        4.676372158399665,
        4.676393141117912,
        4.67641460071612,
        4.676435583434367,
        4.676456566152614,
        4.676477548870861,
        4.676498531589108,
        4.676519991187316,
        4.6765409739055634,
        4.67656195662381,
        4.676582939342057,
        4.676603922060305,
        4.676624904778552,
        4.676645887496799,
        4.676667347095006,
        4.6766883298132536,
        4.676709312531501,
        4.676730295249748,
        4.676751277967996,
        4.676772260686242,
        4.676793243404489,
        4.676814703002697,
        4.6768356857209445,
        4.676856668439192,
        4.676877651157438,
        4.676898633875686,
        4.676919616593933,
        4.67694059931218,
        4.676961582030428,
        4.676982564748675,
        4.677004024346882,
        4.677025007065129,
        4.677045989783377,
        4.677066972501624,
        4.677087955219871,
        4.677108937938118,
        4.677129920656365,
        4.677150903374613,
        4.67717188609286,
        4.677192868811107,
        4.677213851529355,
        4.677234834247601,
        4.6772558169658485,
        4.677276799684096,
        4.677297782402343,
        4.67731924200055,
        4.677340224718797,
        4.677361207437045,
        4.677382190155292,
        4.6774031728735395,
        4.677424155591787,
        4.677445138310034,
        4.677466121028281,
        4.677487103746528,
        4.677508086464775,
        4.677529069183023,
        4.67755005190127,
        4.677571034619517,
        4.677592017337764,
        4.677613000056011,
        4.677633982774259,
        4.677654965492506,
        4.677675948210753,
        4.677696930929001,
        4.677717436767288,
        4.677738419485535,
        4.677759402203781,
        4.677780384922029,
        4.677801367640276,
        4.6778223503585235,
        4.677843333076771,
        4.677864315795018,
        4.677885298513265,
        4.677906281231512,
        4.677927263949759,
        4.677948246668007,
        4.677969229386254,
        4.677990212104501,
        4.678011194822748,
        4.678031700661036,
        4.678052683379282,
        4.6780736660975295,
        4.678094648815777,
        4.678115631534024,
        4.678136614252272,
        4.678157596970519,
        4.678178579688765,
        4.678199562407013,
        4.67822054512526,
        4.678241050963547,
        4.678262033681794,
        4.678283016400042,
        4.678303999118289,
        4.6783249818365364,
        4.678345964554783,
        4.67836694727303,
        4.678387453111317,
        4.678408435829565,
        4.678429418547812,
        4.678450401266059,
        4.678471383984307,
        4.678492366702554,
        4.678512872540841,
        4.678533855259088,
        4.678554837977335,
        4.678575820695582,
        4.678596803413829,
        4.678617309252116,
        4.678638291970364,
        4.678659274688611,
        4.6786802574068584,
        4.678701240125106,
        4.678721745963393,
        4.678742728681639,
        4.678763711399887,
        4.678784694118134,
        4.678805676836381,
        4.678826182674668,
        4.678847165392916,
        4.678868148111163,
        4.67888913082941,
        4.678909636667697,
        4.678930619385945,
        4.678951602104191,
        4.678972584822438,
        4.678993090660725,
        4.679014073378973,
        4.67903505609722,
        4.679056038815467,
        4.679076544653754,
        4.679097527372002,
        4.679118510090249,
        4.679139015928536,
        4.679159998646783,
        4.67918098136503,
        4.679201964083277,
        4.679222469921564,
        4.6792434526398115,
        4.679264435358059,
        4.679284941196346,
        4.679305923914593,
        4.679451849182403,
        4.679493337738937,
        4.6795143204571845,
        4.6795348262954715,
        4.679555809013719,
        4.679576791731966,
        4.679597297570253,
        4.6796182802885005,
        4.679639263006748,
        4.679659768845035,
        4.679680751563282,
        4.679701257401569,
        4.679722240119816,
        4.679743222838064,
        4.679763728676351,
        4.679784711394598,
        4.679805217232885,
        4.679826199951132,
        4.679847182669379,
        4.679867688507666,
        4.679888671225913,
        4.6799091770642,
        4.679930159782447,
        4.679951142500695,
        4.679971648338982,
        4.679992631057229,
        4.680013136895516,
        4.680034119613763,
        4.68005462545205,
        4.680075608170298,
        4.680096590888545,
        4.680117096726832,
        4.680138079445079,
        4.680158585283366,
        4.680179568001614,
        4.6802000738399006,
        4.680221056558148,
        4.680241562396435,
        4.680262545114682,
        4.680283050952969,
        4.6803040336712165,
        4.6803245395095034,
        4.680345522227751,
        4.680366028066038,
        4.680387010784285,
        4.680407516622572,
        4.6804284993408185,
        4.680449005179106,
        4.680469987897353,
        4.680490493735641,
        4.680511476453887,
        4.680531982292174,
        4.680552965010421,
        4.680573470848708,
        4.680594453566956,
        4.680614959405243,
        4.68063594212349,
        4.680656447961777,
        4.680677430680024,
        4.680697936518311,
        4.680718442356598,
        4.6807394250748455,
        4.6807599309131325,
        4.68078091363138,
        4.680801419469667,
        4.680822402187914,
        4.680842908026201,
        4.680863413864488,
        4.680884396582735,
        4.680904902421022,
        4.68092588513927,
        4.680946390977557,
        4.680967373695804,
        4.680987879534091,
        4.681008385372378,
        4.681029368090625,
        4.681049873928912,
        4.681070379767199,
        4.681091362485446,
        4.681111868323733,
        4.681132851041981,
        4.681153356880268,
        4.681173862718555,
        4.681194845436802,
        4.681215351275089,
        4.681235857113377,
        4.681256839831623,
        4.681277345669911,
        4.6812983283881575,
        4.6813188342264445,
        4.681339340064732,
        4.681360322782979,
        4.681380828621267,
        4.6814013344595535,
        4.6814223171778,
        4.681442823016088,
        4.681463328854375,
        4.681483834692662,
        4.681504817410909,
        4.681525323249196,
        4.681545829087483,
        4.68156681180573,
        4.681587317644017,
        4.681607823482304,
        4.681917318576451,
        4.681938301294697,
        4.681958807132985,
        4.681979312971272,
        4.681999818809559,
        4.682020801527806,
        4.682041307366093,
        4.68206181320438,
        4.682082319042667,
        4.682102824880954,
        4.6821238075992015,
        4.6821443134374885,
        4.682164819275775,
        4.682185325114062,
        4.682205830952349,
        4.682226813670597,
        4.682247319508884,
        4.682267825347171,
        4.682288331185458,
        4.682308837023745,
        4.682329819741993,
        4.68235032558028,
        4.682370831418567,
        4.6823913372568535,
        4.6824118430951405,
        4.682432348933427,
        4.682453331651675,
        4.682473837489962,
        4.682494343328249,
        4.682514849166536,
        4.6825353550048225,
        4.68255586084311,
        4.682576366681397,
        4.682597349399644,
        4.682617855237932,
        4.682638361076219,
        4.6826588669145055,
        4.6826793727527924,
        4.682699878591079,
        4.682720384429366,
        4.682740890267653,
        4.682761872985901,
        4.682782378824188,
        4.6828028846624745,
        4.6828233905007615,
        4.682843896339049,
        4.682864402177336,
        4.682884908015623,
        4.68290541385391,
        4.682925919692197,
        4.682946425530484,
        4.682966931368771,
        4.683151960793315,
        4.683172466631602,
        4.683192972469889,
        4.683213478308176,
        4.683233984146463,
        4.68325448998475,
        4.683274995823037,
        4.683295501661324,
        4.683316007499611,
        4.683336513337898,
        4.683357019176185,
        4.683377525014472,
        4.683398030852759,
        4.683418536691047,
        4.683439042529334,
        4.683459548367621,
        4.683480054205908,
        4.683500560044195,
        4.6835210658824815,
        4.6835415717207685,
        4.683562077559055,
        4.683582583397342,
        4.68360308923563,
        4.683623595073917,
        4.683644100912204,
        4.683664606750491,
        4.683685112588778,
        4.683705618427065,
        4.683726124265352,
        4.683746630103639,
        4.683767135941927,
        4.683787641780214,
        4.6838081476185005,
        4.683828176576827,
        4.683848682415114,
        4.683869188253401,
        4.683889694091689,
        4.683910199929976,
        4.683930705768263,
        4.68395121160655,
        4.6839717174448365,
        4.6839922232831235,
        4.68401272912141,
        4.684033234959697,
        4.684053263918025,
        4.684073769756312,
        4.684094275594599,
        4.684114781432886,
        4.684135287271173,
        4.6841557931094595,
        4.6841762989477465,
        4.684196804786034,
        4.684217310624321,
        4.684237339582648,
        4.684257845420935,
        4.684278351259222,
        4.684298857097509,
        4.6843193629357955,
        4.684339868774083,
        4.68436037461237,
        4.684380403570697,
        4.684400909408984,
        4.684421415247271,
        4.684441921085558,
        4.6844624269238455,
        4.6844829327621325,
        4.684502961720459,
        4.684523467558746,
        4.684543973397033,
        4.68456447923532,
        4.684584985073608,
        4.684605014031934,
        4.684625519870221,
        4.684646025708508,
        4.684666531546795,
        4.684687037385082,
        4.684707066343409,
        4.684727572181696,
        4.684748078019983,
        4.68476858385827,
        4.684789089696557,
        4.684809118654885,
        4.6848296244931715,
        4.6848501303314585,
        4.684870636169745,
        4.684890665128072,
        4.68491117096636,
        4.684931676804647,
        4.684952182642934,
        4.68497221160126,
        4.684992717439547,
        4.685013223277834,
        4.685033729116121,
        4.6850537580744485,
        4.685074263912735,
        4.685094769751022,
        4.685115275589309,
        4.685135304547637,
        4.685155810385924,
        4.685176316224211,
        4.6851968220624975,
        4.685216851020824,
        4.685237356859111,
        4.685257862697399,
        4.685277891655725,
        4.685298397494012,
        4.685318903332299,
        4.685338932290627,
        4.685359438128914,
        4.685379943967201,
        4.685399972925527,
        4.685420478763814,
        4.685440984602101,
        4.685461490440389,
        4.685481519398715,
        4.685502025237002,
        4.685522531075289,
        4.685542560033617,
        4.685563065871904,
        4.68558309483023,
        4.685603600668517,
        4.685624106506804,
        4.6856441354651315,
        4.685664641303418,
        4.685685147141705,
        4.685705176100032,
        4.685725681938319,
        4.685746187776607,
        4.685766216734933,
        4.68578672257322,
        4.685806751531547,
        4.6858272573698345,
        4.6858477632081215,
        4.685867792166448,
        4.685888298004735,
        4.685908803843022,
        4.685928832801349,
        4.685949338639636,
        4.685969367597963,
        4.68598987343625,
        4.686009902394577,
        4.686030408232864,
        4.686050914071151,
        4.686070943029478,
        4.6860914488677645,
        4.686111477826092,
        4.686131983664379,
        4.686152489502666,
        4.686172518460992,
        4.68619302429928,
        4.686213053257607,
        4.686233559095894,
        4.68625358805422,
        4.686274093892508,
        4.686294122850835,
        4.6863146286891215,
        4.686334657647449,
        4.686355163485736,
        4.686375669324023,
        4.686395698282349,
        4.686416204120636,
        4.686436233078964,
        4.686456738917251,
        4.686476767875577,
        4.686497273713864,
        4.686517302672192,
        4.6865378085104785,
        4.686557837468805,
        4.686578343307092,
        4.686598372265419,
        4.686618878103706,
        4.686638907062033,
        4.68665941290032,
        4.686679441858647,
        4.686699947696934,
        4.686719976655261,
        4.686740005613588,
        4.686760511451875,
        4.686780540410202,
        4.686801046248489,
        4.686821075206816,
        4.686841581045103,
        4.6868616100034295,
        4.686882115841716,
        4.686902144800044,
        4.686922650638331,
        4.686942679596657,
        4.686962708554985,
        4.686983214393272,
        4.687003243351598,
        4.687023749189885,
        4.687043778148213,
        4.6870642839864995,
        4.687084312944826,
        4.687104341903153,
        4.6871248477414404,
        4.687144876699767,
        4.687165382538054,
        4.6871854114963805,
        4.687205917334668,
        4.687225946292995,
        4.687245975251321,
        4.687266481089608,
        4.687286510047936,
        4.687306539006262,
        4.687327044844549,
        4.687347073802877,
        4.687367579641164,
        4.68738760859949,
        4.6874076375578175,
        4.6874281433961045,
        4.687448172354431,
        4.687468201312758,
        4.687488707151045,
        4.687508736109372,
        4.687529241947659,
        4.687549270905986,
        4.687569299864313,
        4.6875898057026,
        4.687609834660926,
        4.687629863619254,
        4.687650369457541,
        4.687670398415867,
        4.687690427374195,
        4.687710933212482,
        4.687730962170808,
        4.6877509911291355,
        4.687771020087462,
        4.687791525925749,
        4.687811554884076,
        4.687831583842403,
        4.68785208968069,
        4.687872118639016,
        4.687892147597344,
        4.687912653435631,
        4.687932682393957,
        4.687952711352285,
        4.687972740310611,
        4.687993246148898,
        4.688013275107226,
        4.688033304065552,
        4.688053809903839,
        4.6880738388621666,
        4.688093867820493,
        4.68811389677882,
        4.688134402617107,
        4.688154431575434,
        4.6881744605337605,
        4.688194489492088,
        4.688214995330375,
        4.688235024288701,
        4.688255053247029,
        4.688275082205355,
        4.688295588043642,
        4.688315617001969,
        4.688335645960296,
        4.688355674918623,
        4.68837570387695,
        4.688396209715237,
        4.688416238673564,
        4.688436267631891,
        4.688456296590218,
        4.688476802428505,
        4.688496831386831,
        4.688516860345159,
        4.688536889303485,
        4.6885569182618125,
        4.6885774241000995,
        4.688597453058426,
        4.6886174820167525,
        4.68863751097508,
        4.6886575399334065,
        4.688677568891734,
        4.688698074730021,
        4.688718103688347,
        4.688738132646675,
        4.688758161605001,
        4.688778190563328,
        4.688798219521655,
        4.688818725359942,
        4.688838754318269,
        4.688858783276596,
        4.688878812234923,
        4.688898841193249,
        4.688918870151577,
        4.688938899109903,
        4.68895940494819,
        4.688979433906518,
        4.688999462864844,
        4.689019491823171,
        4.689039520781498,
        4.689059549739825,
        4.689079578698152,
        4.689099607656479,
        4.6891201134947655,
        4.689140142453093,
        4.6891601714114195,
        4.689180200369746,
        4.6892002293280735,
        4.6892202582864,
        4.689240287244727,
        4.689260316203054,
        4.6892803451613805,
        4.689300374119708,
        4.689320403078034,
        4.689340908916321,
        4.689360937874649,
        4.689380966832975,
        4.689400995791302,
        4.689421024749629,
        4.689441053707956,
        4.689461082666283,
        4.68948111162461,
        4.689501140582936,
        4.689521169541264,
        4.68954119849959,
        4.689561227457918,
        4.689581256416244,
        4.689601285374571,
        4.689621314332898,
        4.689641343291225,
        4.689661372249551,
        4.689681401207879,
        4.689701430166205,
        4.689721459124533,
        4.689741488082859,
        4.689761517041186,
        4.689781545999513,
        4.68980157495784,
        4.689821603916167,
        4.689841632874494,
        4.68986166183282,
        4.689881690791148,
        4.689901719749474,
        4.6899217487078015,
        4.689941777666128,
        4.689961806624455,
        4.689981835582782,
        4.690001864541109,
        4.690021893499436,
        4.6900419224577625,
        4.690061951416089,
        4.6900819803744165,
        4.690102009332743,
        4.69012203829107,
        4.690142067249397,
        4.6901620962077235,
        4.690182125166051,
        4.6902021541243775,
        4.690222183082704,
        4.690242212041031,
        4.690262240999358,
        4.690282269957685,
        4.690302298916012,
        4.6903223278743384,
        4.6903418799527055,
        4.690361908911032,
        4.690381937869359,
        4.690401966827686,
        4.690421995786013,
        4.69044202474434,
        4.6904620537026664,
        4.690482082660994,
        4.69050211161932,
        4.690522140577648,
        4.690542169535974,
        4.690561721614341,
        4.690581750572668,
        4.690601779530994,
        4.690621808489322,
        4.690641837447648,
        4.690661866405976,
        4.690681895364302,
        4.690701924322629,
        4.690721476400996,
        4.690741505359322,
        4.69076153431765,
        4.690781563275976,
        4.690801592234304,
        4.69082162119263,
        4.690841650150957,
        4.690861202229324,
        4.690881231187651,
        4.690901260145978,
        4.690921289104304,
        4.690941318062632,
        4.690961347020958,
        4.690981375979285,
        4.691000928057652,
        4.691020957015979,
        4.691040985974306,
        4.691061014932632,
        4.69108104389096,
        4.691100595969326,
        4.691120624927653,
        4.69114065388598,
        4.691160682844307,
        4.691180711802634,
        4.691200263881001,
        4.691220292839327,
        4.691240321797654,
        4.691260350755981,
        4.691280379714308,
        4.691299931792675,
        4.691319960751001,
        4.691339989709329,
        4.691360018667655,
        4.691380047625982,
        4.691399599704349,
        4.6914196286626755,
        4.691439657621003,
        4.691459686579329,
        4.6914792386576964,
        4.691499267616023,
        4.69151929657435,
        4.691539325532677,
        4.691777765512759,
        4.691797794471086,
        4.691817823429413,
        4.691837375507779,
        4.6918574044661066,
        4.691877433424433,
        4.6918974623827605,
        4.691917014461127,
        4.691937043419454,
        4.691957072377781,
        4.691976624456148,
        4.691996653414474,
        4.692016682372801,
        4.692036234451168,
        4.692056263409495,
        4.692076292367822,
        4.692095844446189,
        4.692115873404515,
        4.692135902362842,
        4.692155454441209,
        4.692175483399535,
        4.692195512357863,
        4.692215064436229,
        4.692235093394556,
        4.692255122352883,
        4.69227467443125,
        4.692294703389576,
        4.692314255467943,
        4.69233428442627,
        4.692354313384597,
        4.692373865462963,
        4.692393894421291,
        4.692413923379617,
        4.692433475457984,
        4.692453504416311,
        4.692473056494678,
        4.6924930854530045,
        4.692513114411332,
        4.692532666489698,
        4.6925526954480254,
        4.692572247526392,
        4.692592276484719,
        4.6926123054430455,
        4.6926318575214125,
        4.692651886479739,
        4.692671438558106,
        4.692691467516433,
        4.69271149647476,
        4.692731048553126,
        4.692751077511454,
        4.69277062958982,
        4.692790658548147,
        4.692810210626514,
        4.692830239584841,
        4.692849791663208,
        4.692869820621534,
        4.692889849579861,
        4.692909401658228,
        4.692929430616554,
        4.692948982694921,
        4.692969011653249,
        4.692988563731615,
        4.693008592689942,
        4.693028144768308,
        4.693048173726636,
        4.693067725805002,
        4.693087754763329,
        4.6931073068416955,
        4.693127335800023,
        4.693146887878389,
        4.6931669168367165,
        4.693186468915083,
        4.69320649787341,
        4.693226049951777,
        4.693246078910104,
        4.693265630988471,
        4.693285659946797,
        4.693305212025164,
        4.693325240983491,
        4.693344793061858,
        4.693364822020184,
        4.693384374098551,
        4.693404403056878,
        4.693423955135245,
        4.693443984093571,
        4.693463536171938,
        4.693483565130265,
        4.693503117208632,
        4.693523146166958,
        4.693542698245325,
        4.693562727203652,
        4.693582279282019,
        4.693601831360386,
        4.6936218603187125,
        4.6936414123970795,
        4.693661441355406,
        4.693680993433773,
        4.6937010223921,
        4.693720574470467,
        4.693740126548834,
        4.69376015550716,
        4.693779707585527,
        4.693799736543854,
        4.693819288622221,
        4.693839317580547,
        4.693858869658914,
        4.69387842173728,
        4.693898450695608,
        4.693918002773975,
        4.693938031732301,
        4.693957583810668,
        4.6939771358890345,
        4.693997164847362,
        4.694016716925728,
        4.6940367458840555,
        4.694056297962422,
        4.694075850040789,
        4.694095878999115,
        4.694115431077482,
        4.694134983155849,
        4.694155012114176,
        4.694174564192543,
        4.694194593150869,
        4.694214145229236,
        4.694233697307603,
        4.69425372626593,
        4.694273278344297,
        4.694292830422663,
        4.69431285938099,
        4.6943324114593565,
        4.6943519635377235,
        4.69437199249605,
        4.694391544574417,
        4.694411096652784,
        4.694431125611111,
        4.694450677689478,
        4.694470229767844,
        4.694490258726171,
        4.694509810804538,
        4.694529362882904,
        4.694548914961271,
        4.694568943919598,
        4.694588495997965,
        4.694608048076332,
        4.6946280770346585,
        4.6946476291130255,
        4.694667181191392,
        4.694687210149719,
        4.694706762228085,
        4.694726314306452,
        4.694745866384819,
        4.694765895343146,
        4.694785447421513,
        4.694804999499879,
        4.694825028458206,
        4.694844580536573,
        4.694864132614939,
        4.694883684693306,
        4.694903713651633,
        4.69492326573,
        4.694942817808367,
        4.694962369886733,
        4.6949823988450605,
        4.695001950923427,
        4.695021503001794,
        4.695041055080161,
        4.695061084038487,
        4.695080636116854,
        4.69510018819522,
        4.695119740273587,
        4.695139292351954,
        4.695159321310281,
        4.695178873388648,
        4.695198425467014,
        4.695217977545381,
        4.6952380065037085,
        4.695257558582075,
        4.695277110660442,
        4.695296662738809,
        4.695316214817175,
        4.695336243775502,
        4.695355795853868,
        4.695375347932235,
        4.695394900010602,
        4.6954144520889685,
        4.6954340041673355,
        4.695454033125662,
        4.695473585204029,
        4.695493137282396,
        4.695512689360762,
        4.695532241439129,
        4.695551793517496,
        4.695571822475823,
        4.69559137455419,
        4.695610926632556,
        4.695630478710923,
        4.69565003078929,
        4.695669582867656,
        4.695689611825983,
        4.69570916390435,
        4.695728715982717,
        4.695748268061084,
        4.69576782013945,
        4.695787372217817,
        4.695806924296184,
        4.69582647637455,
        4.695846505332877,
        4.695866057411244,
        4.69588560948961,
        4.695905161567977,
        4.6959247136463445,
        4.695944265724711,
        4.695963817803078,
        4.695983369881445,
        4.696022950918138,
        4.696042502996504,
        4.696062055074871,
        4.696081607153238,
        4.696101159231604,
        4.696120711309971,
        4.6961402633883385,
        4.696159815466705,
        4.696179367545072,
        4.696198919623439,
        4.696218471701805,
        4.696238023780172,
        4.696258052738498,
        4.696277604816865,
        4.696297156895232,
        4.696316708973598,
        4.696336261051965,
        4.6963558131303325,
        4.696375365208699,
        4.696394917287066,
        4.696414469365433,
        4.696434021443799,
        4.696453573522166,
        4.696473125600533,
        4.696492677678899,
        4.696512229757266,
        4.696531781835633,
        4.696551333913999,
        4.696570885992366,
        4.696590438070733,
        4.696609990149099,
        4.696629542227466,
        4.696649094305833,
        4.696668646384199,
        4.696688198462566,
        4.696707750540933,
        4.6967273026192995,
        4.6967468546976665,
        4.6967664067760335,
        4.6967859588544,
        4.696805510932767,
        4.696825063011134,
        4.6968446150895,
        4.696864167167867,
        4.696883719246234,
        4.6969032713246,
        4.696922823402967,
        4.696942375481334,
        4.6969619275597,
        4.696981479638067,
        4.697001031716434,
        4.6970205837948,
        4.697040135873167,
        4.697059687951534,
        4.6970792400299,
        4.697098792108267,
        4.697118344186634,
        4.697137419385041,
        4.697156971463407,
        4.697176523541774,
        4.697196075620141,
        4.697215627698507,
        4.697235179776874,
        4.697254731855241,
        4.6972742839336075,
        4.6972938360119745,
        4.6973133880903415,
        4.697332940168708,
        4.697352492247075,
        4.697372044325442,
        4.697391119523848,
        4.697410671602214,
        4.697430223680581,
        4.697449775758948,
        4.6974693278373145,
        4.6974888799156815,
        4.6975084319940485,
        4.697527984072415,
        4.697547536150782,
        4.697566611349188,
        4.697586163427555,
        4.697605715505921,
        4.6976252675842884,
        4.6976448196626555,
        4.697664371741022,
        4.697683923819389,
        4.697702999017795,
        4.697722551096162,
        4.697742103174528,
        4.697761655252895,
        4.697781207331262,
        4.6978007594096285,
        4.6978203114879955,
        4.697839386686402,
        4.697858938764769,
        4.697878490843135,
        4.697898042921502,
        4.697917594999869,
        4.697937147078235,
        4.697956222276642,
        4.697975774355009,
        4.697995326433375,
        4.698014878511742,
        4.698034430590109,
        4.698053505788516,
        4.698073057866882,
        4.698092609945249,
        4.698112162023616,
        4.698131714101982,
        4.698150789300389,
        4.698170341378756,
        4.698189893457123,
        4.698209445535489,
        4.698228997613856,
        4.698248072812262,
        4.698267624890629,
        4.698287176968996,
        4.698306729047363,
        4.698325804245769,
        4.698345356324136,
        4.698364908402502,
        4.698384460480869,
        4.698403535679276,
        4.698423087757643,
        4.698442639836009,
        4.698462191914376,
        4.698481267112783,
        4.69850081919115,
        4.698520371269516,
        4.698539923347883,
        4.6985589985462894,
        4.698578550624656,
        4.698598102703023,
        4.69861765478139,
        4.698636729979796,
        4.698656282058162,
        4.698675834136529,
        4.698694909334936,
        4.698714461413303,
        4.698734013491669,
        4.698753565570036,
        4.698772640768443,
        4.69879219284681,
        4.698811744925176,
        4.698830820123582,
        4.6988503722019495,
        4.6988699242803165,
        4.698888999478723,
        4.698908551557089,
        4.698928103635456,
        4.698947178833863,
        4.69896673091223,
        4.698986282990596,
        4.699005835068963,
        4.69902491026737,
        4.699044462345736,
        4.699064014424103,
        4.699083089622509,
        4.699102641700876,
        4.699121716899283,
        4.699141268977649,
        4.699160821056016,
        4.699179896254423,
        4.69919944833279,
        4.699219000411156,
        4.699238075609562,
        4.699257627687929,
        4.699277179766296,
        4.699296254964703,
        4.699315807043069,
        4.699334882241476,
        4.699354434319843,
        4.699373986398209,
        4.6993930615966155,
        4.6994126136749825,
        4.6994321657533495,
        4.699451240951756,
        4.699470793030122,
        4.699489868228529,
        4.699509420306896,
        4.699528972385263,
        4.6995480475836695,
        4.699567599662036,
        4.699586674860442,
        4.699606226938809,
        4.699625779017176,
        4.699644854215582,
        4.699664406293949,
        4.699683481492356,
        4.699703033570723,
        4.699722108769129,
        4.699741660847495,
        4.699761212925862,
        4.699780288124269,
        4.699799840202636,
        4.699818915401043,
        4.699838467479409,
        4.699857542677815,
        4.699877094756182,
        4.699896169954589,
        4.699915722032956,
        4.699934797231362,
        4.699954349309729,
        4.699973901388096,
        4.699992976586502,
        4.700012528664868,
        4.700031603863275,
        4.700051155941642,
        4.700070231140049,
        4.700089783218416,
        4.700108858416822,
        4.700128410495188,
        4.700147485693595,
        4.700167037771962,
        4.700186112970369,
        4.700205665048735,
        4.700224740247141,
        4.700244292325508,
        4.7005142063829615,
        4.700533758461328,
        4.700552833659734,
        4.700572385738101,
        4.700591460936508,
        4.700611013014875,
        4.7006300882132805,
        4.700649163411687,
        4.700668715490054,
        4.700687790688461,
        4.700707342766828,
        4.700726417965234,
        4.7007459700436005,
        4.700765045242007,
        4.700784120440414,
        4.700803672518781,
        4.700822747717187,
        4.700842299795554,
        4.70086137499396,
        4.700880450192367,
        4.700900002270734,
        4.70091907746914,
        4.700938629547507,
        4.700957704745914,
        4.7009767799443205,
        4.700996332022687,
        4.701015407221093,
        4.70103495929946,
        4.701054034497867,
        4.7010731096962735,
        4.70109266177464,
        4.701111736973046,
        4.701130812171453,
        4.70115036424982,
        4.701169439448226,
        4.701188991526593,
        4.701208066725,
        4.701227141923406,
        4.701246694001773,
        4.701265769200179,
        4.701284844398586,
        4.701304396476953,
        4.70132347167536,
        4.701342546873766,
        4.701362098952132,
        4.701381174150539,
        4.7014002493489455,
        4.7014198014273125,
        4.701438876625719,
        4.701457951824126,
        4.701477503902492,
        4.7014965791008985,
        4.701515654299305,
        4.701535206377672,
        4.701554281576079,
        4.701573356774485,
        4.701592431972892,
        4.701611984051258,
        4.701631059249665,
        4.701650134448071,
        4.701669686526438,
        4.701688761724845,
        4.7017078369232514,
        4.701726912121658,
        4.701746464200024,
        4.701765539398431,
        4.701784614596837,
        4.701804166675204,
        4.701823241873611,
        4.701842317072018,
        4.701861392270424,
        4.701880944348791,
        4.701900019547197,
        4.7019190947456035,
        4.70193816994401,
        4.701957722022377,
        4.701976797220784,
        4.70199587241919,
        4.702014947617597,
        4.702034499695964,
        4.702053574894371,
        4.702072650092776,
        4.702091725291183,
        4.70211127736955,
        4.7021303525679565,
        4.702149427766363,
        4.70216850296477,
        4.702187578163176,
        4.702207130241543,
        4.702226205439949,
        4.702245280638356,
        4.702264355836762,
        4.702283431035169,
        4.702302983113536,
        4.7023220583119425,
        4.702341133510349,
        4.702360208708756,
        4.702379283907162,
        4.702398835985528,
        4.702417911183935,
        4.702436986382342,
        4.702456061580748,
        4.702475136779155,
        4.702494688857522,
        4.7025137640559285,
        4.702532839254335,
        4.702551914452742,
        4.702570989651148,
        4.702590064849555,
        4.702609616927921,
        4.702628692126328,
        4.702647767324734,
        4.702666842523141,
        4.702685917721547,
        4.702704992919954,
        4.702724068118361,
        4.702743620196728,
        4.702762695395134,
        4.70278177059354,
        4.702800845791947,
        4.702819920990353,
        4.70283899618876,
        4.702858071387166,
        4.702877146585573,
        4.70289669866394,
        4.702915773862347,
        4.702934849060753,
        4.70295392425916,
        4.702972999457566,
        4.702992074655973,
        4.70301114985438,
        4.703030225052785,
        4.703049300251192,
        4.7030683754495985,
        4.703087927527966,
        4.703107002726372,
        4.703126077924779,
        4.703145153123185,
        4.703164228321592,
        4.703183303519999,
        4.703202378718405,
        4.703221453916812,
        4.703240529115218,
        4.703259604313625,
        4.703278679512031,
        4.703297754710437,
        4.703316829908844,
        4.7033359051072505,
        4.703354980305657,
        4.703374055504064,
        4.703393607582431,
        4.703412682780837,
        4.703431757979244,
        4.703450833177651,
        4.703469908376057,
        4.703488983574464,
        4.70350805877287,
        4.703527133971276,
        4.703546209169683,
        4.703565284368089,
        4.703584359566496,
        4.7036034347649025,
        4.703622509963309,
        4.703641585161716,
        4.703660660360122,
        4.703679735558529,
        4.7036988107569355,
        4.703717885955342,
        4.703736961153749,
        4.703756036352155,
        4.703775111550562,
        4.7037941867489685,
        4.703813261947375,
        4.703832337145782,
        4.703851412344188,
        4.703870487542594,
        4.703889562741001,
        4.703908637939407,
        4.703927713137814,
        4.7039467883362205,
        4.703965863534627,
        4.703984938733034,
        4.70400353705148,
        4.7040226122498865,
        4.704041687448293,
        4.7040607626467,
        4.704079837845106,
        4.704098913043513,
        4.7041179882419195,
        4.704137063440326,
        4.704156138638733,
        4.704175213837139,
        4.704194289035546,
        4.7042133642339525,
        4.704232439432359,
        4.704251514630766,
        4.704270589829172,
        4.7042891881476185,
        4.704308263346025,
        4.704327338544432,
        4.704346413742838,
        4.704365488941245,
        4.704384564139652,
        4.704403639338058,
        4.704422714536464,
        4.7044417897348705,
        4.704460864933277,
        4.704479463251724,
        4.704498538450131,
        4.7045176136485365,
        4.704536688846943,
        4.70455576404535,
        4.704574839243756,
        4.704593914442163,
        4.7046129896405695,
        4.704631587959016,
        4.704650663157422,
        4.704669738355829,
        4.7046888135542355,
        4.704707888752642,
        4.704726963951049,
        4.704746039149455,
        4.7047646374679015,
        4.704783712666308,
        4.704802787864715,
        4.704821863063121,
        4.704840938261528,
        4.7048600134599345,
        4.704878611778381,
        4.704897686976787,
        4.704916762175194,
        4.7049358373736005,
        4.704954912572007,
        4.704973987770414,
        4.70499258608886,
        4.7050116612872666,
        4.705030736485673,
        4.70504981168408,
        4.705068886882486,
        4.705087485200933,
        4.705106560399339,
        4.705125635597746,
        4.705144710796152,
        4.705163785994559,
        4.705182384313005,
        4.705201459511412,
        4.705220534709818,
        4.705239609908225,
        4.705258208226671,
        4.705277283425078,
        4.705296358623484,
        4.705315433821891,
        4.705334032140337,
        4.705353107338744,
        4.70537218253715,
        4.705391257735557,
        4.705410332933964,
        4.70542893125241,
        4.705448006450816,
        4.705467081649223,
        4.705485679967669,
        4.705504755166076,
        4.705523830364482,
        4.705542905562889,
        4.705561503881335,
        4.705580579079742,
        4.705599654278148,
        4.705618729476555,
        4.705637327795002,
        4.705656402993408,
        4.705675478191814,
        4.7056940765102615,
        4.705713151708668,
        4.705732226907075,
        4.70575130210548,
        4.7057699004239275,
        4.705788975622334,
        4.705808050820741,
        4.705826649139187,
        4.7058457243375935,
        4.705864799536,
        4.705883397854446,
        4.705902473052853,
        4.7059215482512595,
        4.705940146569706,
        4.705959221768112,
        4.705978296966519,
        4.705996895284965,
        4.706015970483372,
        4.706035045681778,
        4.7060536440002245,
        4.706072719198631,
        4.706091794397038,
        4.706110392715484,
        4.7061294679138905,
        4.706148543112297,
        4.706167141430743,
        4.70618621662915,
        4.7062052918275565,
        4.706223890146004,
        4.70624296534441,
        4.706261563662856,
        4.706280638861263,
        4.70629971405967,
        4.706318312378116,
        4.706337387576522,
        4.706356462774929,
        4.706375061093375,
        4.706394136291782,
        4.706412734610228,
        4.706431809808635,
        4.706450885007041,
        4.706469483325487,
        4.706488558523894,
        4.706582980756006,
        4.706601579074453,
        4.70662065427286,
        4.706639252591306,
        4.706658327789713,
        4.706677402988119,
        4.7066960013065655,
        4.706715076504972,
        4.706733674823418,
        4.706752750021825,
        4.706771348340271,
        4.706790423538678,
        4.706809021857124,
        4.7068280970555305,
        4.706846695373978,
        4.706865770572384,
        4.706884845770791,
        4.706903444089237,
        4.706922519287644,
        4.70694111760609,
        4.706960192804496,
        4.706978791122943,
        4.706997866321349,
        4.707016464639795,
        4.707035539838202,
        4.707054138156648,
        4.707073213355055,
        4.707091811673502,
        4.707110886871908,
        4.707129485190355,
        4.707148560388761,
        4.7071671587072075,
        4.707186233905614,
        4.70720483222406,
        4.707223907422467,
        4.707242505740913,
        4.70726158093932,
        4.707280179257766,
        4.7072992544561725,
        4.70731785277462,
        4.707336927973025,
        4.707355526291472,
        4.7073741246099186,
        4.707393199808325,
        4.707411798126771,
        4.707430873325178,
        4.707449471643624,
        4.707468546842031,
        4.707487145160477,
        4.7075062203588836,
        4.707524818677331,
        4.707543416995777,
        4.707562492194183,
        4.70758109051263,
        4.707600165711036,
        4.707618764029482,
        4.707637839227889,
        4.707656437546335,
        4.707675035864782,
        4.707694111063188,
        4.707712709381635,
        4.707731784580042,
        4.707750382898488,
        4.7077694580968945,
        4.707788056415341,
        4.707806654733787,
        4.7078257299321935,
        4.70784432825064,
        4.707862926569087,
        4.707882001767493,
        4.70790060008594,
        4.707919675284346,
        4.707938273602792,
        4.707956871921239,
        4.707975947119645,
        4.707994545438091,
        4.7080131437565385,
        4.708032218954945,
        4.708050817273391,
        4.708069892471798,
        4.708088490790244,
        4.70810708910869,
        4.708126164307097,
        4.708144762625543,
        4.70816336094399,
        4.708182436142396,
        4.708201034460843,
        4.708219632779289,
        4.708238707977696,
        4.708257306296142,
        4.708275904614588,
        4.708294979812995,
        4.708313578131441,
        4.708332176449888,
        4.708351251648295,
        4.708369849966741,
        4.708388448285187,
        4.708407523483594,
        4.70842612180204,
        4.708444720120486,
        4.708463318438933,
        4.70848239363734,
        4.708500991955786,
        4.708519590274232,
        4.708538665472639,
        4.708557263791085,
        4.708575862109531,
        4.708594460427978,
        4.708613535626385,
        4.708632133944831,
        4.708650732263277,
        4.708669807461684,
        4.70868840578013,
        4.708707004098576,
        4.708725602417023,
        4.70874467761543,
        4.708763275933876,
        4.708781874252322,
        4.708800472570768,
        4.708819547769175,
        4.708838146087621,
        4.708856744406068,
        4.7088753427245145,
        4.708894417922921,
        4.708913016241367,
        4.7089316145598135,
        4.7089502128782605,
        4.708968811196707,
        4.708987886395113,
        4.7090064847135595,
        4.709025083032006,
        4.709043681350452,
        4.709361283403921,
        4.709380358602328,
        4.709398956920774,
        4.709417555239221,
        4.709436153557667,
        4.709454751876113,
        4.70947335019456,
        4.709492425392966,
        4.709511023711412,
        4.7095296220298595,
        4.709548220348306,
        4.709566818666752,
        4.709585416985198,
        4.709604015303645,
        4.709622613622091,
        4.709641688820498,
        4.709660287138944,
        4.70967888545739,
        4.7096974837758365,
        4.709716082094284,
        4.70973468041273,
        4.709753278731176,
        4.709771877049622,
        4.709790475368069,
        4.7098090736865155,
        4.709828148884922,
        4.709846747203368,
        4.7098653455218145,
        4.709883943840261,
        4.709902542158708,
        4.709921140477154,
        4.7099397387956,
        4.709958337114046,
        4.7099769354324925,
        4.70999553375094,
        4.710014132069386,
        4.710032730387832,
        4.710051328706278,
        4.710070403904685,
        4.710089002223132,
        4.710107600541578,
        4.710126198860024,
        4.7101447971784705,
        4.710163395496917,
        4.710181993815364,
        4.71020059213381,
        4.710219190452256,
        4.710237788770702,
        4.710256387089149,
        4.710274985407596,
        4.710293583726042,
        4.710312182044488,
        4.710330780362934,
        4.710349378681381,
        4.7103679769998275,
        4.710386575318274,
        4.71040517363672,
        4.710423771955166,
        4.710442370273613,
        4.710460968592059,
        4.7104795669105055,
        4.710498165228952,
        4.710516763547399,
        4.710535361865845,
        4.710553960184291,
        4.710572558502737,
        4.710591156821184,
        4.710609755139631,
        4.710628353458077,
        4.710646951776523,
        4.710665550094969,
        4.710684148413416,
        4.7107027467318625,
        4.710721345050309,
        4.710739943368755,
        4.710758541687201,
        4.710776663125688,
        4.710795261444134,
        4.71081385976258,
        4.710832458081027,
        4.710851056399473,
        4.71086965471792,
        4.710888253036366,
        4.710906851354813,
        4.710925449673259,
        4.710944047991705,
        4.7109626463101515,
        4.710981244628598,
        4.710999842947045,
        4.7110179643855306,
        4.711036562703977,
        4.711055161022424,
        4.71107375934087,
        4.711092357659316,
        4.711110955977762,
        4.711129554296209,
        4.711148152614656,
        4.711166750933102,
        4.711185349251548,
        4.711203470690035,
        4.711222069008481,
        4.711240667326927,
        4.711259265645373,
        4.7112778639638195,
        4.711296462282267,
        4.711315060600713,
        4.711333182039199,
        4.711351780357646,
        4.711370378676092,
        4.711388976994538,
        4.711407575312984,
        4.711426173631431,
        4.7114447719498775,
        4.711462893388363,
        4.7114814917068095,
        4.711500090025257,
        4.711518688343703,
        4.711537286662149,
        4.711555884980595,
        4.711574006419082,
        4.711592604737528,
        4.711611203055974,
        4.711629801374421,
        4.7116483996928675,
        4.711666521131353,
        4.7116851194497995,
        4.711703717768247,
        4.711722316086693,
        4.711740914405139,
        4.711759035843626,
        4.711777634162072,
        4.711796232480518,
        4.711814830798964,
        4.711833429117411,
        4.711851550555897,
        4.711870148874343,
        4.7118887471927895,
        4.711907345511237,
        4.711925466949722,
        4.711944065268169,
        4.711962663586616,
        4.711981261905062,
        4.711999383343548,
        4.712017981661995,
        4.712036579980441,
        4.712055178298887,
        4.712073299737373,
        4.71209189805582,
        4.712110496374266,
        4.712129094692712,
        4.712147216131199,
        4.712165814449645,
        4.712184412768091,
        4.712203011086538,
        4.712221132525024,
        4.7122397308434705,
        4.712258329161917,
        4.712276450600403,
        4.7122950489188495,
        4.712313647237296,
        4.712331768675782,
        4.712350366994229,
        4.712368965312675,
        4.712387563631121,
        4.712405685069608,
        4.714003232936156,
        4.715784856467328,
        4.715806316065536,
        4.715827775663744,
        4.715849712141911,
        4.715871171740118,
        4.715892631338326,
        4.715914090936534,
        4.715936027414701,
        4.715957487012908,
        4.7159789466111155,
        4.716000406209323,
        4.71602186580753,
        4.716043802285697,
        4.716065261883905,
        4.716086721482112,
        4.71610818108032,
        4.716129640678528,
        4.716151577156695,
        4.716173036754902,
        4.7161944963531095,
        4.716215955951317,
        4.716237415549524,
        4.716259352027691,
        4.716280811625899,
        4.716302271224107,
        4.716323730822314,
        4.716345190420522,
        4.7163666500187285,
        4.716388586496897,
        4.7164100460951035,
        4.716431505693311,
        4.716452965291518,
        4.716474424889726,
        4.716495884487933,
        4.7165173440861405,
        4.716539280564308,
        4.716560740162516,
        4.7165821997607225,
        4.71660365935893,
        4.716625118957137,
        4.716646578555345,
        4.716668038153553,
        4.7166894977517595,
        4.716710957349967,
        4.716732416948174,
        4.716753876546382,
        4.716775813024549,
        4.716797272622757,
        4.716818732220964,
        4.716840191819172,
        4.7168616514173785,
        4.716883111015586,
        4.716904570613793,
        4.716926030212001,
        4.716947489810209,
        4.7169689494084155,
        4.716990409006623,
        4.71701186860483,
        4.717033328203038,
        4.717054787801245,
        4.7170762473994525,
        4.71709770699766,
        4.717119166595867,
        4.717140626194075,
        4.717162085792282,
        4.71718354539049,
        4.717205004988696,
        4.717226464586904,
        4.717247924185112,
        4.717269383783319,
        4.717290843381527,
        4.7173123029797335,
        4.717333762577941,
        4.717355222176148,
        4.717376681774356,
        4.717398141372563,
        4.7174196009707705,
        4.717441060568978,
        4.717462520167185,
        4.717483979765393,
        4.7175054393636,
        4.7175268989618075,
        4.717548358560014,
        4.717569818158222,
        4.7175908008764695,
        4.717612260474676,
        4.717633720072884,
        4.717655179671091,
        4.717676639269299,
        4.717698098867507,
        4.7177195584657134,
        4.717741018063921,
        4.717762477662128,
        4.717783937260336,
        4.717804919978583,
        4.71782637957679,
        4.717847839174998,
        4.717869298773205,
        4.7178907583714125,
        4.71791221796962,
        4.717933677567827,
        4.718360962012134,
        4.718382421610341,
        4.718403404328589,
        4.718424863926796,
        4.718446323525003,
        4.718467783123211,
        4.718489242721418,
        4.718510225439665,
        4.718531685037872,
        4.71855314463608,
        4.718574127354327,
        4.718595586952534,
        4.718617046550742,
        4.71863850614895,
        4.718659488867196,
        4.718680948465404,
        4.718702408063612,
        4.718723867661819,
        4.718744850380066,
        4.718766309978274,
        4.718787769576481,
        4.718808752294728,
        4.718830211892935,
        4.718851671491143,
        4.71887265420939,
        4.718894113807597,
        4.718915573405805,
        4.718936556124052,
        4.718958015722259,
        4.718979475320467,
        4.719000458038714,
        4.719021917636921,
        4.719043377235129,
        4.719064359953376,
        4.719085819551583,
        4.719107279149791,
        4.719128261868038,
        4.719149721466245,
        4.7191711810644525,
        4.7191921637827,
        4.719213623380907,
        4.719234606099154,
        4.719256065697362,
        4.719277525295569,
        4.719298508013816,
        4.719319967612024,
        4.71934095033027,
        4.719362409928478,
        4.719383869526686,
        4.719404852244932,
        4.71942631184314,
        4.7194472945613875,
        4.719468754159594,
        4.719489736877842,
        4.719511196476049,
        4.719532656074256,
        4.719553638792504,
        4.719575098390711,
        4.719596081108959,
        4.719617540707166,
        4.719638523425413,
        4.719659983023621,
        4.719680965741867,
        4.719702425340075,
        4.719723408058322,
        4.719744867656529,
        4.719766327254737,
        4.719787309972984,
        4.719808769571191,
        4.719829752289439,
        4.719851211887646,
        4.719872194605894,
        4.719893654204101,
        4.719914636922348,
        4.719936096520556,
        4.719957079238802,
        4.7199780619570495,
        4.719999521555257,
        4.720020504273505,
        4.7200419638717115,
        4.720062946589959,
        4.720084406188167,
        4.720105388906413,
        4.720126848504621,
        4.720147831222868,
        4.720169290821075,
        4.720190273539322,
        4.72021173313753,
        4.7202327158557775,
        4.720253698574024,
        4.720275158172232,
        4.720296140890479,
        4.720317600488686,
        4.720338583206933,
        4.720359565925181,
        4.7203810255233885,
        4.720402008241636,
        4.720423467839843,
        4.72044445055809,
        4.720465433276337,
        4.720486892874544,
        4.720507875592792,
        4.720529335190999,
        4.720550317909247,
        4.720571300627493,
        4.720592760225701,
        4.720613742943948,
        4.720634725662196,
        4.7206561852604025,
        4.72067716797865,
        4.720698627576858,
        4.720719610295104,
        4.7207405930133515,
        4.720762052611559,
        4.720783035329807,
        4.720804018048054,
        4.720825477646261,
        4.720846460364508,
        4.7208674430827555,
        4.720888902680962,
        4.72090988539921,
        4.720930868117457,
        4.7209518508357045,
        4.720973310433911,
        4.720994293152159,
        4.721015275870406,
        4.721036735468614,
        4.721057718186861,
        4.721078700905108,
        4.721099683623355,
        4.721121143221563,
        4.72114212593981,
        4.7211631086580566,
        4.721184568256264,
        4.721205550974512,
        4.721226533692759,
        4.721247516411006,
        4.721268976009213,
        4.721289958727461,
        4.721310941445708,
        4.721331924163955,
        4.721353383762162,
        4.7213743664804095,
        4.721395349198657,
        4.721416331916904,
        4.721437314635152,
        4.7214587742333585,
        4.721479756951606,
        4.721500739669853,
        4.7215217223881005,
        4.721542705106347,
        4.721564164704555,
        4.721585147422802,
        4.7216061301410495,
        4.721627112859297,
        4.721648095577543,
        4.721669555175751,
        4.721690537893998,
        4.721711520612246,
        4.721732503330492,
        4.72175348604874,
        4.721774468766987,
        4.721795928365195,
        4.7218378938016885,
        4.721858876519936,
        4.721879859238183,
        4.721900841956431,
        4.721921824674678,
        4.721943284272885,
        4.721964266991132,
        4.7219852497093795,
        4.722006232427627,
        4.722027215145874,
        4.722048197864121,
        4.722069180582368,
        4.722090163300615,
        4.722111622898823,
        4.7221326056170705,
        4.722153588335317,
        4.722174571053564,
        4.722195553771812,
        4.722216536490059,
        4.722237519208306,
        4.722258501926554,
        4.7222794846448,
        4.7223004673630475,
        4.722321450081295,
        4.722342432799542,
        4.72236341551779,
        4.7223848751159965,
        4.722405857834244,
        4.722426840552491,
        4.7224478232707385,
        4.722468805988986,
        4.722489788707233,
        4.72251077142548,
        4.722531754143727,
        4.722552736861974,
        4.722573719580222,
        4.722594702298469,
        4.7226156850167165,
        4.722636667734963,
        4.72265765045321,
        4.722678633171458,
        4.722699615889705,
        4.722720598607952,
        4.7227415813262,
        4.722762564044446,
        4.7227835467626935,
        4.722804529480941,
        4.722825512199188,
        4.722846494917436,
        4.722867477635683,
        4.722888460353929,
        4.722909443072177,
        4.722930425790424,
        4.7229514085086715,
        4.722972391226919,
        4.722992897065206,
        4.723013879783453,
        4.7230348625017005,
        4.723055845219947,
        4.723076827938194,
        4.723097810656442,
        4.723118793374689,
        4.723139776092936,
        4.723160758811184,
        4.723181741529431,
        4.7232027242476775,
        4.723223706965925,
        4.723244689684172,
        4.723265195522459,
        4.7232861782407065,
        4.723307160958954,
        4.723328143677201,
        4.723349126395449,
        4.723370109113695,
        4.723391091831942,
        4.72341207455019,
        4.723433057268437,
        4.723453563106724,
        4.723474545824971,
        4.723495528543219,
        4.723516511261465,
        4.723537493979713,
        4.72355847669796,
        4.723579459416207,
        4.723599965254494,
        4.723620947972742,
        4.723641930690989,
        4.723662913409236,
        4.723683896127483,
        4.72370487884573,
        4.723725384684017,
        4.723746367402264,
        4.723767350120512,
        4.723788332838759,
        4.7238093155570064,
        4.723829821395293,
        4.723850804113541,
        4.723871786831788,
        4.723892769550035,
        4.723913752268282,
        4.723934258106569,
        4.723955240824816,
        4.723976223543064,
        4.723997206261311,
        4.724018188979558,
        4.724038694817845,
        4.724059677536093,
        4.72408066025434,
        4.724101642972586,
        4.724122148810873,
        4.724143131529121,
        4.724164114247368,
        4.724185096965615,
        4.724205602803902,
        4.72422658552215,
        4.724247568240397,
        4.724268550958644,
        4.724289056796931,
        4.724310039515179,
        4.724331022233425,
        4.724351528071713,
        4.7243725107899595,
        4.724393493508207,
        4.724414476226454,
        4.724434982064741,
        4.7244559647829885,
        4.724476947501236,
        4.724497453339523,
        4.72451843605777,
        4.7245394187760175,
        4.724559924614304,
        4.724580907332552,
        4.724601890050798,
        4.724622872769046,
        4.7246433786073325,
        4.72466436132558,
        4.724684867163867,
        4.724705849882114,
        4.7247268326003615,
        4.7247473384386485,
        4.724768321156896,
        4.724789303875143,
        4.72480980971343,
        4.7248307924316775,
        4.724851775149925,
        4.724872280988212,
        4.724893263706459,
        4.724914246424706,
        4.724934752262993,
        4.72495573498124,
        4.724976240819528,
        4.724997223537774,
        4.7250182062560215,
        4.7250387120943085,
        4.725059694812556,
        4.725080200650843,
        4.72510118336909,
        4.7251221660873375,
        4.725142671925624,
        4.725163654643872,
        4.725184160482159,
        4.725205143200406,
        4.725225649038693,
        4.72524663175694,
        4.725267614475188,
        4.725288120313475,
        4.725309103031722,
        4.725329608870009,
        4.725350591588256,
        4.725371097426543,
        4.72539208014479,
        4.725412585983078,
        4.725433568701324,
        4.725454551419571,
        4.725475057257858,
        4.725496039976106,
        4.725516545814393,
        4.72553752853264,
        4.725558034370927,
        4.725579017089174,
        4.725599522927461,
        4.725620505645709,
        4.7256410114839955,
        4.725661994202243,
        4.72568250004053,
        4.725703482758777,
        4.725723988597064,
        4.7257449713153115,
        4.725765477153598,
        4.725786459871846,
        4.725806965710133,
        4.72582794842838,
        4.725848454266667,
        4.725869436984914,
        4.725889942823201,
        4.725910448661488,
        4.725931431379736,
        4.7259519372180225,
        4.72597291993627,
        4.725993425774557,
        4.726014408492804,
        4.726034914331091,
        4.7260558970493385,
        4.726076402887625,
        4.726096908725912,
        4.72611789144416,
        4.726138397282447,
        4.726159380000694,
        4.726179885838981,
        4.726200391677268,
        4.726221374395515,
        4.726241880233802,
        4.72626286295205,
        4.7262833687903365,
        4.726304351508584,
        4.726324857346871,
        4.726345363185158,
        4.726366345903405,
        4.726386851741692,
        4.726407357579979,
        4.726428340298226,
        4.726448846136513,
        4.726469828854761,
        4.726490334693048,
        4.7265108405313345,
        4.726531823249582,
        4.726552329087869,
        4.726572834926156,
        4.726593817644403,
        4.72661432348269,
        4.726634829320977,
        4.726655812039224,
        4.726676317877511,
        4.726696823715798,
        4.726717806434046,
        4.7267383122723325,
        4.7267588181106195,
        4.726779800828867,
        4.726800306667154,
        4.726820812505441,
        4.726841795223688,
        4.726862301061975,
        4.726882806900263,
        4.72690331273855,
        4.726924295456796,
        4.726944801295084,
        4.726965307133371,
        4.726986289851618,
        4.727006795689905,
        4.727027301528192,
        4.727336796622338,
        4.727357302460626,
        4.727377808298913,
        4.727398791017159,
        4.727419296855447,
        4.727439802693734,
        4.727460308532021,
        4.727480814370308,
        4.727501797088555,
        4.727522302926842,
        4.727542808765129,
        4.727563314603416,
        4.727583820441703,
        4.7276048031599505,
        4.727625308998237,
        4.727645814836524,
        4.727666320674811,
        4.727686826513099,
        4.727707332351386,
        4.727728315069633,
        4.72774882090792,
        4.727769326746207,
        4.727789832584494,
        4.727810338422781,
        4.727830844261068,
        4.7278518269793155,
        4.727872332817602,
        4.727892838655889,
        4.727913344494176,
        4.727933850332463,
        4.727954356170751,
        4.727974862009038,
        4.727995367847325,
        4.728016350565572,
        4.728036856403859,
        4.728057362242146,
        4.728077868080433,
        4.72809837391872,
        4.728118879757007,
        4.728139385595294,
        4.728159891433581,
        4.728180397271869,
        4.728201379990115,
        4.728221885828402,
        4.72824239166669,
        4.728262897504977,
        4.728283403343264,
        4.728303909181551,
        4.728324415019838,
        4.728344920858125,
        4.728776020342113,
        4.7287965261804,
        4.7288170320186875,
        4.7288375378569745,
        4.728858043695261,
        4.728878549533548,
        4.728899055371835,
        4.728919561210122,
        4.728940067048409,
        4.728960572886696,
        4.728981078724983,
        4.7290011076833105,
        4.7290216135215974,
        4.729042119359884,
        4.729062625198171,
        4.729083131036458,
        4.729103636874745,
        4.729124142713033,
        4.72914464855132,
        4.729165154389607,
        4.729185660227894,
        4.729206166066181,
        4.729226671904468,
        4.729247177742755,
        4.729267683581042,
        4.729288189419329,
        4.729308695257616,
        4.729328724215943,
        4.72934923005423,
        4.729369735892517,
        4.729390241730804,
        4.729410747569091,
        4.729431253407379,
        4.7294517592456655,
        4.7294722650839525,
        4.729492770922239,
        4.729513276760526,
        4.729533305718853,
        4.729553811557141,
        4.729574317395428,
        4.729594823233715,
        4.7296153290720016,
        4.7296358349102885,
        4.729656340748575,
        4.729676369706903,
        4.72969687554519,
        4.729717381383477,
        4.729737887221764,
        4.729758393060051,
        4.729778898898338,
        4.7297994047366245,
        4.729921962886387,
        4.729941991844714,
        4.729962497683001,
        4.729983003521288,
        4.730003509359575,
        4.730024015197862,
        4.730044044156188,
        4.730064549994476,
        4.730085055832763,
        4.73010556167105,
        4.730126067509337,
        4.730146096467664,
        4.7301666023059505,
        4.730187108144238,
        4.730207613982525,
        4.730227642940852,
        4.730248148779139,
        4.730268654617426,
        4.730289160455713,
        4.73030918941404,
        4.730329695252327,
        4.730350201090614,
        4.730370706928901,
        4.7303907358872275,
        4.730411241725515,
        4.730431747563802,
        4.730452253402089,
        4.730472282360416,
        4.730492788198703,
        4.73051329403699,
        4.7305337998752774,
        4.730553828833604,
        4.730574334671891,
        4.730594840510178,
        4.730615346348465,
        4.730635375306792,
        4.730655881145079,
        4.730676386983366,
        4.730696415941693,
        4.73071692177998,
        4.730737427618267,
        4.730757456576594,
        4.730777962414881,
        4.730798468253168,
        4.730818497211495,
        4.730839003049782,
        4.730859508888069,
        4.730879537846396,
        4.730900043684683,
        4.73092054952297,
        4.730940578481297,
        4.730961084319584,
        4.730981590157871,
        4.731001619116197,
        4.731022124954485,
        4.731042630792772,
        4.731062659751099,
        4.731083165589386,
        4.731103671427673,
        4.731123700386,
        4.731144206224287,
        4.731164712062574,
        4.7311847410209005,
        4.731205246859187,
        4.731225275817515,
        4.731245781655802,
        4.731266287494089,
        4.731286316452415,
        4.731306822290703,
        4.73132685124903,
        4.731347357087317,
        4.7313678629256035,
        4.731387891883931,
        4.731408397722218,
        4.731428426680544,
        4.731448932518831,
        4.731469438357118,
        4.731489467315446,
        4.731509973153733,
        4.731530002112059,
        4.731550507950346,
        4.731570536908674,
        4.7315910427469605,
        4.7316115485852475,
        4.731631577543574,
        4.731652083381861,
        4.731672112340188,
        4.731692618178475,
        4.731712647136802,
        4.731733152975089,
        4.731753181933416,
        4.731773687771703,
        4.73179419360999,
        4.7318142225683175,
        4.7318347284066045,
        4.731854757364931,
        4.731875263203218,
        4.731895292161545,
        4.731915797999832,
        4.731935826958159,
        4.731956332796446,
        4.731976361754773,
        4.73199686759306,
        4.732016896551387,
        4.732037402389674,
        4.732057431348001,
        4.732077937186288,
        4.7320979661446145,
        4.7321184719829015,
        4.732138500941229,
        4.732159006779516,
        4.732179035737842,
        4.732199541576129,
        4.732219570534457,
        4.732239599492783,
        4.73226010533107,
        4.732280134289397,
        4.732300640127685,
        4.732320669086011,
        4.732341174924298,
        4.732361203882625,
        4.732381709720912,
        4.732401738679239,
        4.732422244517526,
        4.732442273475853,
        4.73246230243418,
        4.732482808272467,
        4.732502837230793,
        4.732523343069081,
        4.732543372027408,
        4.732563877865695,
        4.732583906824021,
        4.732603935782349,
        4.732624441620636,
        4.732644470578962,
        4.732664976417249,
        4.7326850053755765,
        4.732705034333903,
        4.73272554017219,
        4.732745569130517,
        4.732766074968804,
        4.732786103927131,
        4.732806132885458,
        4.732826638723745,
        4.732846667682072,
        4.732866696640399,
        4.732887202478686,
        4.732907231437013,
        4.7329277372753,
        4.732947766233627,
        4.7329677951919535,
        4.7329883010302405,
        4.733008329988567,
        4.733028358946894,
        4.733048864785181,
        4.733068893743508,
        4.733088922701835,
        4.733109428540122,
        4.733129457498449,
        4.733149486456776,
        4.733169992295063,
        4.73319002125339,
        4.733210050211717,
        4.733230556050004,
        4.733250585008331,
        4.733270613966657,
        4.733291119804945,
        4.7333111487632715,
        4.733331177721598,
        4.7333512066799255,
        4.733371712518212,
        4.733391741476539,
        4.733411770434866,
        4.733432276273153,
        4.73345230523148,
        4.733472334189807,
        4.733492363148134,
        4.733512868986421,
        4.733532897944747,
        4.733552926903075,
        4.733573432741362,
        4.733593461699688,
        4.733613490658016,
        4.733633519616342,
        4.733654025454629,
        4.7336740544129565,
        4.733694083371283,
        4.73371411232961,
        4.733734618167897,
        4.733754647126224,
        4.7337746760845505,
        4.733794705042878,
        4.7338147340012044,
        4.733835239839491,
        4.733855268797819,
        4.733875297756145,
        4.733895326714472,
        4.733915832552759,
        4.733935861511086,
        4.733955890469413,
        4.73397591942774,
        4.733995948386067,
        4.734016454224354,
        4.734036483182681,
        4.734056512141008,
        4.734076541099334,
        4.734096570057662,
        4.7341170758959485,
        4.734137104854275,
        4.7341571338126025,
        4.734177162770929,
        4.734197191729256,
        4.734217220687583,
        4.73423772652587,
        4.7342577554841965,
        4.734277784442524,
        4.73429781340085,
        4.734317842359178,
        4.734337871317504,
        4.734358377155791,
        4.734378406114118,
        4.734398435072445,
        4.734418464030772,
        4.734438492989099,
        4.734458521947426,
        4.734478550905752,
        4.734499056744039,
        4.734519085702367,
        4.734539114660693,
        4.734559143619021,
        4.734579172577347,
        4.734599201535674,
        4.734619230494001,
        4.734639259452328,
        4.734659288410655,
        4.734679794248942,
        4.734699823207269,
        4.734719852165596,
        4.7347398811239225,
        4.734759910082249,
        4.7347799390405765,
        4.734799967998903,
        4.7348199969572295,
        4.734840025915557,
        4.7348600548738835,
        4.734880083832211,
        4.734900589670498,
        4.734920618628824,
        4.734940647587152,
        4.734960676545478,
        4.734980705503805,
        4.735000734462132,
        4.735020763420459,
        4.735040792378786,
        4.735060821337113,
        4.735080850295439,
        4.735100879253767,
        4.735120908212093,
        4.73514093717042,
        4.735160966128747,
        4.735180995087074,
        4.735201024045401,
        4.735221053003728,
        4.735241081962054,
        4.735261110920382,
        4.735281139878708,
        4.735301168837036,
        4.735321197795362,
        4.735341226753689,
        4.735361255712016,
        4.735381284670343,
        4.73540131362867,
        4.735421342586997,
        4.735441371545323,
        4.735461400503651,
        4.735481429461977,
        4.735501458420305,
        4.735521487378631,
        4.735541516336958,
        4.735561545295285,
        4.735581574253612,
        4.735601603211938,
        4.7356216321702655,
        4.735641661128592,
        4.7356616900869195,
        4.735681719045246,
        4.735701748003573,
        4.7357217769619,
        4.7357418059202265,
        4.735761834878554,
        4.7357818638368805,
        4.735801892795207,
        4.7358219217535344,
        4.735841950711861,
        4.735861502790228,
        4.7358815317485545,
        4.735901560706882,
        4.7359215896652085,
        4.735941618623535,
        4.735961647581862,
        4.735981676540189,
        4.736001705498516,
        4.736021734456843,
        4.7360417634151695,
        4.736061792373497,
        4.736081821331823,
        4.73610137341019,
        4.736121402368517,
        4.736141431326844,
        4.736161460285171,
        4.7361814892434975,
        4.736440911941827,
        4.7364609409001535,
        4.736480969858481,
        4.736500998816807,
        4.736521027775135,
        4.736540579853501,
        4.736560608811828,
        4.736580637770155,
        4.7366006667284815,
        4.736620695686809,
        4.736640247765176,
        4.736660276723502,
        4.736680305681829,
        4.736700334640156,
        4.736720363598483,
        4.73674039255681,
        4.7367599446351765,
        4.736779973593504,
        4.73680000255183,
        4.736820031510157,
        4.736840060468484,
        4.7368596125468505,
        4.736879641505178,
        4.7368996704635045,
        4.736919699421832,
        4.736939251500198,
        4.736959280458525,
        4.736979309416852,
        4.7369993383751785,
        4.7370188904535455,
        4.737038919411872,
        4.7370589483701995,
        4.737078977328526,
        4.737099006286853,
        4.73711855836522,
        4.737138587323547,
        4.7371586162818735,
        4.7371781683602405,
        4.737198197318567,
        4.7372182262768945,
        4.737238255235221,
        4.737257807313588,
        4.737277836271915,
        4.737297865230241,
        4.7373178941885685,
        4.737337446266935,
        4.737357475225262,
        4.737377504183589,
        4.737397056261956,
        4.737417085220282,
        4.73743711417861,
        4.737457143136936,
        4.737476695215303,
        4.73749672417363,
        4.737516753131957,
        4.737536305210323,
        4.737556334168651,
        4.737576363126977,
        4.737595915205344,
        4.737615944163671,
        4.737635973121997,
        4.737655525200364,
        4.737675554158692,
        4.737695583117018,
        4.737715135195385,
        4.737735164153712,
        4.737755193112038,
        4.737774745190405,
        4.737794774148732,
        4.737814803107059,
        4.737834355185425,
        4.737854384143753,
        4.737874413102079,
        4.737893965180446,
        4.737913994138773,
        4.73793354621714,
        4.7379535751754664,
        4.737973604133794,
        4.73799315621216,
        4.738013185170487,
        4.738033214128814,
        4.738052766207181,
        4.7380727951655075,
        4.7380923472438745,
        4.738112376202201,
        4.7381324051605285,
        4.738151957238895,
        4.738171986197222,
        4.738191538275588,
        4.738211567233916,
        4.738231596192242,
        4.738251148270609,
        4.738271177228936,
        4.738290729307303,
        4.738310758265629,
        4.738330787223957,
        4.738350339302323,
        4.73837036826065,
        4.738389920339017,
        4.738409949297344,
        4.738429501375711,
        4.738449530334037,
        4.738469082412404,
        4.738489111370731,
        4.738509140329057,
        4.738528692407424,
        4.738548721365751,
        4.738568273444118,
        4.738588302402445,
        4.7386078544808115,
        4.738627883439139,
        4.738647435517505,
        4.738667464475832,
        4.7386870165541986,
        4.738707045512526,
        4.738726597590892,
        4.7387466265492195,
        4.738766178627586,
        4.738786207585913,
        4.73880575966428,
        4.738825788622607,
        4.738845340700974,
        4.7388653696593,
        4.738884921737667,
        4.738904950695994,
        4.738924502774361,
        4.738944531732687,
        4.738964083811054,
        4.738984112769381,
        4.739003664847748,
        4.739023693806074,
        4.739043245884441,
        4.739063274842768,
        4.739082826921135,
        4.7391028558794615,
        4.7391224079578285,
        4.739142436916155,
        4.739161988994522,
        4.7391820179528485,
        4.739201570031216,
        4.739221122109583,
        4.739241151067909,
        4.739260703146276,
        4.739280732104603,
        4.73930028418297,
        4.739320313141296,
        4.739339865219663,
        4.73935941729803,
        4.739379446256357,
        4.739398998334724,
        4.73941902729305,
        4.739438579371417,
        4.739458608329744,
        4.739478160408111,
        4.739497712486477,
        4.739517741444804,
        4.739537293523171,
        4.739557322481498,
        4.739576874559865,
        4.739596426638231,
        4.7396164555965585,
        4.739636007674925,
        4.739656036633252,
        4.739675588711618,
        4.739695140789985,
        4.739715169748312,
        4.739734721826679,
        4.739754273905046,
        4.739774302863372,
        4.739793854941739,
        4.739813883900066,
        4.739833435978433,
        4.7398529880568,
        4.739873017015126,
        4.739892569093493,
        4.73991212117186,
        4.739932150130187,
        4.739951702208553,
        4.73997125428692,
        4.739991283245247,
        4.740010835323614,
        4.740030387401981,
        4.740050416360307,
        4.740069968438674,
        4.74008952051704,
        4.740109549475368,
        4.740129101553735,
        4.740148653632101,
        4.740168682590428,
        4.7401882346687945,
        4.7402077867471615,
        4.740227815705488,
        4.740247367783855,
        4.740266919862222,
        4.740286471940588,
        4.740306500898916,
        4.740326052977282,
        4.740345605055649,
        4.740365634013975,
        4.740385186092342,
        4.740404738170709,
        4.740424290249075,
        4.740444319207403,
        4.74046387128577,
        4.740483423364136,
        4.740503452322463,
        4.7405230044008295,
        4.7405425564791965,
        4.7405621085575635,
        4.74058213751589,
        4.740601689594257,
        4.740621241672623,
        4.74064079375099,
        4.740660822709317,
        4.740680374787684,
        4.740699926866051,
        4.740719478944417,
        4.740739031022784,
        4.7407590599811105,
        4.7407786120594775,
        4.7407981641378445,
        4.740817716216211,
        4.740837745174538,
        4.740857297252905,
        4.740876849331271,
        4.740896401409638,
        4.740915953488005,
        4.740935982446332,
        4.740955534524699,
        4.740975086603065,
        4.740994638681432,
        4.741014190759799,
        4.741034219718125,
        4.7410537717964925,
        4.741073323874859,
        4.741092875953226,
        4.741112428031593,
        4.741132456989919,
        4.741152009068286,
        4.741171561146652,
        4.741191113225019,
        4.741210665303386,
        4.741230217381752,
        4.74125024634008,
        4.741269798418446,
        4.741289350496813,
        4.74130890257518,
        4.741328454653546,
        4.741348006731913,
        4.74136755881028,
        4.741387587768607,
        4.741407139846974,
        4.741426691925341,
        4.741446244003707,
        4.741465796082074,
        4.741485348160441,
        4.741504900238807,
        4.741524452317174,
        4.7415444812755005,
        4.741564033353868,
        4.741583585432235,
        4.741603137510601,
        4.741622689588968,
        4.741642241667335,
        4.741661793745701,
        4.741681345824068,
        4.741700897902435,
        4.741720926860761,
        4.741740478939128,
        4.7417600310174945,
        4.741779583095862,
        4.741799135174229,
        4.741818687252595,
        4.741838239330962,
        4.741857791409329,
        4.741877343487695,
        4.741896895566062,
        4.741916447644429,
        4.741935999722795,
        4.741955551801162,
        4.741975103879529,
        4.741995132837856,
        4.742014684916223,
        4.742034236994589,
        4.742053789072956,
        4.742073341151323,
        4.742092893229689,
        4.742112445308056,
        4.742131997386423,
        4.742151549464789,
        4.742171101543156,
        4.742190653621523,
        4.742210205699889,
        4.742229757778256,
        4.742249309856623,
        4.742268861934989,
        4.742288414013356,
        4.742307966091723,
        4.7423275181700895,
        4.7423470702484565,
        4.7423666223268235,
        4.74238617440519,
        4.742405726483557,
        4.742425278561924,
        4.74244483064029,
        4.742464382718657,
        4.742483934797024,
        4.74250348687539,
        4.742523038953757,
        4.742542591032124,
        4.74256214311049,
        4.742581695188857,
        4.742601247267224,
        4.74262079934559,
        4.742640351423957,
        4.742659903502324,
        4.74267945558069,
        4.742699007659057,
        4.742718559737424,
        4.7427381118157905,
        4.7427576638941575,
        4.742776739092564,
        4.742796291170931,
        4.742815843249297,
        4.742835395327664,
        4.742854947406031,
        4.742874499484397,
        4.7428940515627644,
        4.7429136036411315,
        4.742933155719498,
        4.742952707797865,
        4.742972259876232,
        4.742991811954598,
        4.743011364032965,
        4.743030439231371,
        4.743049991309738,
        4.7430695433881045,
        4.7430890954664715,
        4.7431086475448385,
        4.743128199623205,
        4.743147751701572,
        4.743167303779939,
        4.743186855858305,
        4.743206407936672,
        4.743225483135078,
        4.743245035213445,
        4.7432645872918116,
        4.743284139370179,
        4.743303691448546,
        4.743323243526912,
        4.743342795605279,
        4.743362347683646,
        4.743381422882052,
        4.7434009749604185,
        4.7434205270387855,
        4.7434400791171525,
        4.743459631195519,
        4.743479183273886,
        4.743498258472292,
        4.743517810550659,
        4.743537362629025,
        4.743556914707392,
        4.743576466785759,
        4.7435960188641255,
        4.743615094062532,
        4.743634646140899,
        4.743654198219266,
        4.743673750297632,
        4.743693302375999,
        4.743712854454366,
        4.743731929652773,
        4.743751481731139,
        4.743771033809506,
        4.743790585887873,
        4.743810137966239,
        4.743829213164646,
        4.743848765243013,
        4.743868317321379,
        4.743887869399746,
        4.7439069445981525,
        4.7439264966765196,
        4.743946048754886,
        4.743965600833253,
        4.74398515291162,
        4.744004228110026,
        4.744023780188392,
        4.7440433322667594,
        4.7440628843451265,
        4.744081959543533,
        4.744101511621899,
        4.744121063700266,
        4.744140615778633,
        4.74415969097704,
        4.744179243055406,
        4.744198795133773,
        4.74421834721214,
        4.744237422410547,
        4.744256974488913,
        4.74427652656728,
        4.744296078645647,
        4.7443151538440524,
        4.7443347059224195,
        4.7443542580007865,
        4.744373333199193,
        4.744392885277559,
        4.744412437355926,
        4.744431989434293,
        4.7444510646327,
        4.744470616711066,
        4.744490168789433,
        4.74450924398784,
        4.744528796066207,
        4.744548348144573,
        4.74456790022294,
        4.744586975421346,
        4.744606527499713,
        4.7446260795780795,
        4.744645154776486,
        4.744664706854853,
        4.74468425893322,
        4.744703334131627,
        4.744722886209993,
        4.74474243828836,
        4.7447615134867664,
        4.744781065565133,
        4.7448006176435,
        4.744819692841906,
        4.744839244920273,
        4.744858796998639,
        4.744877872197046,
        4.744897424275413,
        4.7449164994738195,
        4.744936051552187,
        4.744955603630553,
        4.744974678828959,
        4.744994230907326,
        4.745013782985693,
        4.7450328581841,
        4.745052410262466,
        4.745071962340833,
        4.74509103753924,
        4.745110589617606,
        4.745129664816012,
        4.745149216894379,
        4.745168768972746,
        4.745187844171153,
        4.745207396249519,
        4.745226471447926,
        4.745246023526293,
        4.74526557560466,
        4.745284650803066,
        4.7453042028814325,
        4.745323278079839,
        4.745361905356613,
        4.74538145743498,
        4.745748655004306,
        4.745768207082672,
        4.745787759161039,
        4.7458068343594455,
        4.7458263864378125,
        4.745845461636219,
        4.745865013714585,
        4.745884088912992,
        4.745903640991359,
        4.7459227161897655,
        4.745942268268132,
        4.745961343466538,
        4.745980895544905,
        4.745999970743312,
        4.746019522821679,
        4.746038598020085,
        4.746057673218492,
        4.746077225296858,
        4.746096300495265,
        4.746115852573632,
        4.746134927772038,
        4.7461544798504045,
        4.746173555048811,
        4.746193107127178,
        4.746212182325585,
        4.746231734403952,
        4.746250809602358,
        4.7462703616807245,
        4.746289436879131,
        4.746308512077538,
        4.746328064155905,
        4.746347139354311,
        4.746366691432678,
        4.746385766631084,
        4.746405318709451,
        4.746424393907858,
        4.746443469106264,
        4.746463021184631,
        4.746482096383038,
        4.746501648461404,
        4.746520723659811,
        4.746540275738178,
        4.746559350936584,
        4.746578426134991,
        4.746597978213357,
        4.7466170534117635,
        4.746636605490131,
        4.746655680688537,
        4.746674755886944,
        4.746694307965311,
        4.746713383163717,
        4.7467329352420835,
        4.74675201044049,
        4.746771085638897,
        4.746790637717264,
        4.74680971291567,
        4.746828788114077,
        4.746848340192443,
        4.74686741539085,
        4.746886490589256,
        4.746906042667623,
        4.74692511786603,
        4.746944669944397,
        4.746963745142803,
        4.746982820341209,
        4.747002372419576,
        4.747021447617983,
        4.747040522816389,
        4.7470600748947565,
        4.747079150093163,
        4.74709822529157,
        4.747117777369936,
        4.747136852568342,
        4.747155927766749,
        4.747175479845116,
        4.747194555043523,
        4.747213630241929,
        4.747233182320295,
        4.747252257518702,
        4.7472713327171085,
        4.747290407915515,
        4.747309959993882,
        4.747329035192289,
        4.747348110390695,
        4.7473676624690615,
        4.747386737667468,
        4.747405812865875,
        4.747424888064281,
        4.747444440142648,
        4.747463515341055,
        4.7474825905394615,
        4.747502142617828,
        4.747521217816234,
        4.747540293014641,
        4.7475593682130475,
        4.7475789202914145,
        4.747597995489821,
        4.747617070688228,
        4.747636145886634,
        4.747655697965,
        4.747674773163407,
        4.747693848361814,
        4.74771292356022,
        4.747732475638587,
        4.747751550836994,
        4.7477706260354005,
        4.747789701233807,
        4.747809253312173,
        4.74782832851058,
        4.747847403708986,
        4.747866478907393,
        4.7478855541058,
        4.747905106184167,
        4.747924181382573,
        4.7479818838577525,
        4.748000959056159,
        4.748020034254566,
        4.748039109452972,
        4.748058184651379,
        4.748077259849786,
        4.748096811928153,
        4.748115887126559,
        4.748134962324966,
        4.748154037523372,
        4.748173112721779,
        4.748192664800145,
        4.748211739998552,
        4.748230815196958,
        4.748249890395365,
        4.7482689655937715,
        4.748288040792178,
        4.748307592870545,
        4.748326668068952,
        4.748345743267358,
        4.748364818465764,
        4.748383893664171,
        4.748402968862577,
        4.748422044060984,
        4.748441596139351,
        4.7484606713377575,
        4.748479746536164,
        4.748498821734571,
        4.748517896932977,
        4.748536972131384,
        4.7485560473297905,
        4.748575122528197,
        4.748594674606563,
        4.74861374980497,
        4.7486328250033765,
        4.748651900201783,
        4.74867097540019,
        4.748690050598596,
        4.748709125797003,
        4.7487282009954095,
        4.748747276193816,
        4.748766351392223,
        4.748785903470589,
        4.748804978668995,
        4.748824053867402,
        4.748843129065809,
        4.748862204264215,
        4.748881279462622,
        4.7489003546610284,
        4.748919429859435,
        4.748938505057842,
        4.748957580256248,
        4.748976655454655,
        4.7489957306530615,
        4.749014805851468,
        4.749033881049875,
        4.749053433128241,
        4.749072508326647,
        4.749091583525054,
        4.749110658723461,
        4.749129733921867,
        4.749148809120274,
        4.74916788431868,
        4.749186959517087,
        4.749206034715494,
        4.7492251099139,
        4.749244185112307,
        4.749263260310713,
        4.74928233550912,
        4.749301410707527,
        4.749320485905933,
        4.74933956110434,
        4.7493586363027465,
        4.749377711501152,
        4.749396786699559,
        4.749415861897965,
        4.749434937096372,
        4.749454012294779,
        4.749473087493185,
        4.749492162691592,
        4.749511237889998,
        4.749530313088405,
        4.749549388286812,
        4.749568463485218,
        4.749587538683625,
        4.749606613882031,
        4.749625689080438,
        4.749644764278845,
        4.749663839477251,
        4.749682914675658,
        4.7497019898740644,
        4.749720588192511,
        4.749739663390917,
        4.749758738589324,
        4.7497778137877305,
        4.749796888986137,
        4.749815964184543,
        4.749835039382949,
        4.749854114581356,
        4.749873189779763,
        4.749892264978169,
        4.749911340176576,
        4.749930415374982,
        4.749949490573389,
        4.749968565771796,
        4.749987640970202,
        4.750006239288648,
        4.750025314487055,
        4.750044389685462,
        4.750063464883868,
        4.750082540082275,
        4.750101615280681,
        4.750120690479088,
        4.750139765677495,
        4.750158840875901,
        4.750177439194347,
        4.750196514392754,
        4.750215589591161,
        4.750234664789567,
        4.750253739987974,
        4.7502728151863804,
        4.750291890384787,
        4.750310965583194,
        4.75032956390164,
        4.7503486391000465,
        4.750367714298453,
        4.75038678949686,
        4.750405864695266,
        4.750424939893673,
        4.750444015092079,
        4.750462613410526,
        4.750481688608932,
        4.750500763807339,
        4.7505198390057455,
        4.750538914204151,
        4.750557989402558,
        4.750576587721005,
        4.7505956629194115,
        4.750614738117818,
        4.750633813316224,
        4.75065288851463,
        4.750671963713037,
        4.750690562031484,
        4.750709637229891,
        4.750728712428296,
        4.750747787626703,
        4.75076686282511,
        4.750785461143557,
        4.750804536341963,
        4.750823611540369,
        4.750842686738776,
        4.750861285057223,
        4.750880360255629,
        4.750899435454036,
        4.750918510652442,
        4.750937585850848,
        4.750956184169295,
        4.750975259367702,
        4.7509943345661085,
        4.751013409764514,
        4.751032008082961,
        4.751051083281368,
        4.7510701584797745,
        4.751089233678181,
        4.751107831996627,
        4.751126907195034,
        4.7511459823934405,
        4.751165057591847,
        4.751183655910293,
        4.7512027311087,
        4.7512218063071066,
        4.751240881505513,
        4.751259479823959,
        4.751278555022366,
        4.751297630220773,
        4.751316228539219,
        4.751335303737625,
        4.751354378936032,
        4.751373454134439,
        4.751392052452885,
        4.751411127651291,
        4.751430202849698,
        4.751448801168144,
        4.751467876366551,
        4.751486951564957,
        4.751505549883404,
        4.75152462508181,
        4.751543700280217,
        4.751562775478623,
        4.75158137379707,
        4.751600448995476,
        4.751619524193883,
        4.751638122512329,
        4.751657197710736,
        4.751676272909142,
        4.751694871227589,
        4.751713946425995,
        4.751733021624402,
        4.751751619942849,
        4.751770695141255,
        4.7517892934597015,
        4.751808368658108,
        4.751827443856515,
        4.751846042174961,
        4.7518651173733675,
        4.751884192571774,
        4.75190279089022,
        4.751921866088627,
        4.7519409412870335,
        4.75195953960548,
        4.751978614803886,
        4.7519972131223325,
        4.752016288320739,
        4.752035363519146,
        4.752053961837592,
        4.7520730370359985,
        4.752091635354446,
        4.752110710552852,
        4.752129785751258,
        4.752148384069705,
        4.752167459268112,
        4.752186057586558,
        4.752205132784964,
        4.752224207983371,
        4.752242806301817,
        4.752261881500224,
        4.75228047981867,
        4.752299555017077,
        4.752318153335523,
        4.752337228533929,
        4.752356303732336,
        4.752374902050782,
        4.752393977249189,
        4.752412575567636,
        4.7524316507660425,
        4.752450249084489,
        4.752469324282895,
        4.7524879226013415,
        4.752506997799748,
        4.752525596118194,
        4.752544671316601,
        4.7525637465150075,
        4.752582344833454,
        4.75260142003186,
        4.7526200183503065,
        4.752639093548713,
        4.75265769186716,
        4.752676767065566,
        4.752695365384013,
        4.7527144405824195,
        4.752733038900866,
        4.752752114099272,
        4.7527707124177185,
        4.752789787616125,
        4.752808385934571,
        4.752827461132978,
        4.752846059451424,
        4.752865134649831,
        4.752883732968278,
        4.7529028081666835,
        4.752921406485131,
        4.752940481683537,
        4.752959080001983,
        4.75297767832043,
        4.752996753518836,
        4.753015351837282,
        4.753034427035689,
        4.753053025354135,
        4.753072100552542,
        4.753090698870989,
        4.7531097740693955,
        4.753128372387842,
        4.753147447586248,
        4.7531660459046945,
        4.753184644223141,
        4.753203719421547,
        4.7532223177399935,
        4.7532413929384,
        4.753259991256846,
        4.753279066455253,
        4.7532976647737,
        4.753316263092146,
        4.753335338290553,
        4.753353936608999,
        4.753373011807406,
        4.753391610125852,
        4.753410208444298,
        4.753429283642705,
        4.753447881961152,
        4.753466957159557,
        4.753485555478004,
        4.753504153796451,
        4.753523228994857,
        4.753541827313303,
        4.75356090251171,
        4.753579500830156,
        4.753598099148602,
        4.753617174347009,
        4.753635772665456,
        4.753654370983902,
        4.753673446182309,
        4.753692044500755,
        4.753710642819201,
        4.753729718017608,
        4.753748316336054,
        4.753767391534461,
        4.753785989852908,
        4.753804588171354,
        4.753823663369761,
        4.753842261688207,
        4.753860860006653,
        4.75387993520506,
        4.753898533523506,
        4.753917131841953,
        4.7539362070403595,
        4.753954805358806,
        4.753973403677252,
        4.753992001995698,
        4.754011077194105,
        4.754029675512551,
        4.754048273830998,
        4.7540673490294045,
        4.754085947347851,
        4.754104545666297,
        4.7541236208647035,
        4.75414221918315,
        4.754160817501596,
        4.754179415820043,
        4.75419849101845,
        4.754217089336896,
        4.754235687655342,
        4.754254762853749,
        4.754273361172195,
        4.754291959490641,
        4.754310557809088,
        4.754329633007495,
        4.754348231325941,
        4.754366829644387,
        4.754385427962833,
        4.75440450316124,
        4.754423101479686,
        4.754441699798133,
        4.754460298116579,
        4.754479373314986,
        4.754497971633432,
        4.754516569951878,
        4.7545351682703245,
        4.754553766588772,
        4.754572841787178,
        4.754591440105624,
        4.754610038424071,
        4.754628636742517,
        4.754647711940923,
        4.75466631025937,
        4.754684908577817,
        4.754703506896263,
        4.754722105214709,
        4.754741180413116,
        4.754759778731562,
        4.754778377050008,
        4.754796975368455,
        4.755077380785031,
        4.755095979103477,
        4.755114577421924,
        4.7551331757403705,
        4.755151774058817,
        4.755170372377263,
        4.755188970695709,
        4.755207569014156,
        4.755226644212563,
        4.755245242531009,
        4.755263840849455,
        4.755282439167901,
        4.7553010374863485,
        4.755319635804795,
        4.755338234123241,
        4.755356832441687,
        4.755375430760133,
        4.75539450595854,
        4.755413104276987,
        4.755431702595433,
        4.755450300913879,
        4.7554688992323255,
        4.755487497550772,
        4.755506095869219,
        4.757291057560112,
        4.759299199072362,
        4.75932113555053,
        4.759343072028697,
        4.759364531626905,
        4.759386468105072,
        4.759408404583239,
        4.759430341061407,
        4.7594518006596145,
        4.759473737137782,
        4.75949567361595,
        4.759517133214157,
        4.759539069692324,
        4.759561006170492,
        4.759582465768699,
        4.759604402246866,
        4.759626338725035,
        4.7596477983232415,
        4.75966973480141,
        4.759691671279577,
        4.759713130877784,
        4.759735067355952,
        4.759756526954159,
        4.759778463432327,
        4.759800399910494,
        4.759821859508701,
        4.759843795986869,
        4.759865732465037,
        4.759887192063244,
        4.759909128541412,
        4.759930588139619,
        4.759952524617787,
        4.759974461095954,
        4.759995920694162,
        4.760017857172329,
        4.760039316770536,
        4.760061253248704,
        4.760082712846911,
        4.760104649325079,
        4.760126585803246,
        4.760148045401453,
        4.7601699818796215,
        4.760191441477828,
        4.7602133779559965,
        4.760234837554203,
        4.760256774032371,
        4.7602782336305784,
        4.760300170108746,
        4.7603216297069535,
        4.760343566185121,
        4.7603650257833285,
        4.760386962261496,
        4.760408421859704,
        4.760430358337871,
        4.760451817936078,
        4.760473754414246,
        4.760495214012453,
        4.760517150490621,
        4.760538610088828,
        4.760560546566995,
        4.760582006165203,
        4.76060394264337,
        4.760625402241578,
        4.760647338719745,
        4.760668798317953,
        4.76069073479612,
        4.760712194394327,
        4.760734130872495,
        4.760755590470702,
        4.76077705006891,
        4.760798986547077,
        4.760820446145285,
        4.760842382623452,
        4.76086384222166,
        4.760885778699827,
        4.760907238298034,
        4.760928697896242,
        4.760950634374409,
        4.760972093972617,
        4.760994030450784,
        4.761015490048992,
        4.761036949647199,
        4.761058886125367,
        4.761080345723574,
        4.761101805321782,
        4.761123741799949,
        4.761145201398157,
        4.761167137876324,
        4.761188597474531,
        4.76144802017286,
        4.761469479771068,
        4.761490939369275,
        4.761512875847442,
        4.76153433544565,
        4.761555795043858,
        4.761577731522025,
        4.761599191120232,
        4.76162065071844,
        4.7616421103166475,
        4.761664046794815,
        4.761685506393022,
        4.7617069659912294,
        4.761728902469397,
        4.7617503620676045,
        4.761771821665811,
        4.761793281264019,
        4.761814740862226,
        4.761836677340394,
        4.761858136938601,
        4.761879596536809,
        4.761901056135016,
        4.761922992613184,
        4.761944452211391,
        4.7619659118095985,
        4.761987371407805,
        4.762008831006013,
        4.76203076748418,
        4.762052227082388,
        4.762073686680595,
        4.762095146278803,
        4.762116605877011,
        4.762138542355178,
        4.762160001953385,
        4.7621814615515925,
        4.7622029211498,
        4.762224380748007,
        4.762245840346215,
        4.762267776824382,
        4.762289236422589,
        4.762310696020797,
        4.762332155619005,
        4.7623536152172115,
        4.762375074815419,
        4.762396534413626,
        4.762417994011834,
        4.762439930490001,
        4.762461390088209,
        4.762482849686416,
        4.7625043092846235,
        4.76252576888283,
        4.762547228481038,
        4.762568688079246,
        4.762590147677453,
        4.762611607275661,
        4.762633543753828,
        4.762655003352036,
        4.7626764629502425,
        4.76269792254845,
        4.762719382146657,
        4.762740841744865,
        4.762762301343072,
        4.7627837609412795,
        4.762805220539486,
        4.762826680137694,
        4.762848139735902,
        4.762869599334109,
        4.762891058932317,
        4.762912518530523,
        4.762933978128731,
        4.762955437726938,
        4.762976897325146,
        4.762998356923354,
        4.7630198165215605,
        4.763041276119768,
        4.763062735717975,
        4.763084195316183,
        4.76310565491439,
        4.7631271145125975,
        4.763148574110804,
        4.763170033709012,
        4.76319149330722,
        4.763212952905427,
        4.7632344125036346,
        4.763255872101841,
        4.763277331700049,
        4.763298791298256,
        4.763320250896464,
        4.763341710494672,
        4.7633631700928785,
        4.763384629691086,
        4.763406089289293,
        4.763427548887501,
        4.763449008485708,
        4.7634704680839155,
        4.763491927682122,
        4.76351338728033,
        4.7635343699985775,
        4.763555829596784,
        4.763577289194992,
        4.7635987487932,
        4.763620208391407,
        4.7636416679896145,
        4.763663127587821,
        4.763684587186029,
        4.763706046784236,
        4.763727506382444,
        4.763748489100691,
        4.763769948698898,
        4.763791408297106,
        4.763812867895313,
        4.76383432749352,
        4.763855787091728,
        4.763877246689935,
        4.763898229408182,
        4.76391968900639,
        4.763941148604597,
        4.763962608202805,
        4.763984067801012,
        4.7640055273992195,
        4.764026986997426,
        4.764047969715674,
        4.764069429313881,
        4.764090888912088,
        4.764112348510296,
        4.764133808108503,
        4.76415479082675,
        4.764176250424958,
        4.764197710023165,
        4.764219169621373,
        4.7642406292195805,
        4.764261611937827,
        4.764624517587512,
        4.76464597718572,
        4.764667436783927,
        4.764688419502174,
        4.764709879100382,
        4.764731338698589,
        4.764752321416836,
        4.764773781015044,
        4.7647952406132505,
        4.764816223331498,
        4.764837682929706,
        4.7648591425279125,
        4.76488060212612,
        4.764901584844367,
        4.7649230444425745,
        4.764944504040782,
        4.764965486759029,
        4.7649869463572365,
        4.765007929075484,
        4.765029388673691,
        4.7650508482718985,
        4.765071830990146,
        4.765093290588353,
        4.7651147501865605,
        4.765135732904808,
        4.765157192503015,
        4.7651786521012225,
        4.76519963481947,
        4.765221094417677,
        4.765242077135924,
        4.765263536734132,
        4.765284996332339,
        4.765305979050586,
        4.765327438648794,
        4.765348421367041,
        4.765369880965248,
        4.765391340563456,
        4.765412323281702,
        4.76543378287991,
        4.765454765598157,
        4.765476225196364,
        4.765497207914612,
        4.765518667512819,
        4.765540127111026,
        4.765561109829274,
        4.765582569427481,
        4.765603552145729,
        4.765625011743936,
        4.765645994462183,
        4.765667454060391,
        4.765688436778637,
        4.765709896376845,
        4.765730879095092,
        4.765752338693299,
        4.7657733214115465,
        4.765794781009754,
        4.765815763728002,
        4.7658372233262085,
        4.765858206044456,
        4.765879665642664,
        4.76590064836091,
        4.765922107959118,
        4.765943090677365,
        4.765964550275572,
        4.765985532993819,
        4.766006992592027,
        4.7660279753102746,
        4.766049434908481,
        4.766070417626729,
        4.7660918772249365,
        4.766112859943183,
        4.766134319541391,
        4.766155302259638,
        4.766176761857845,
        4.766197744576092,
        4.76621872729434,
        4.7662401868925475,
        4.766261169610795,
        4.766282629209002,
        4.766303611927249,
        4.766325071525456,
        4.766346054243703,
        4.766367036961951,
        4.766388496560158,
        4.766409479278406,
        4.766430938876613,
        4.76645192159486,
        4.766472904313107,
        4.766494363911314,
        4.7665153466295616,
        4.766536806227769,
        4.766557788946017,
        4.766578771664263,
        4.766600231262471,
        4.766621213980718,
        4.766642196698966,
        4.7666636562971725,
        4.76668463901542,
        4.766706098613628,
        4.766727081331874,
        4.766748064050121,
        4.766769523648329,
        4.7667905063665765,
        4.766811489084824,
        4.766832948683031,
        4.766853931401278,
        4.7668749141195255,
        4.766896373717732,
        4.76691735643598,
        4.766938339154227,
        4.766959321872474,
        4.766980781470681,
        4.767001764188929,
        4.767022746907176,
        4.767044206505384,
        4.767065189223631,
        4.767086171941878,
        4.767107631540085,
        4.767128614258333,
        4.76714959697658,
        4.7671705796948265,
        4.767192039293034,
        4.767213022011282,
        4.767234004729529,
        4.767254987447776,
        4.767276447045983,
        4.7672974297642305,
        4.767318412482478,
        4.767339395200725,
        4.767360854798932,
        4.7673818375171795,
        4.767402820235427,
        4.767423802953674,
        4.767445262551881,
        4.767466245270128,
        4.767487227988376,
        4.767508210706623,
        4.76752967030483,
        4.767550653023077,
        4.767571635741325,
        4.767592618459572,
        4.767613601177819,
        4.767635060776026,
        4.767656043494274,
        4.767677026212521,
        4.767698008930768,
        4.767718991649016,
        4.767739974367262,
        4.76776143396547,
        4.767782416683717,
        4.767803399401965,
        4.767824382120212,
        4.767845364838458,
        4.767866347556706,
        4.767887807154914,
        4.767908789873161,
        4.767929772591407,
        4.767950755309655,
        4.767971738027902,
        4.767992720746149,
        4.768013703464397,
        4.768035163062604,
        4.768056145780851,
        4.768077128499098,
        4.768098111217346,
        4.768119093935593,
        4.76814007665384,
        4.768161059372087,
        4.768182042090334,
        4.768413328871014,
        4.768434311589261,
        4.7684552943075085,
        4.768476277025756,
        4.768497259744003,
        4.76851824246225,
        4.768539702060457,
        4.768560684778705,
        4.768581667496952,
        4.768602650215199,
        4.768623632933446,
        4.768644615651693,
        4.768665598369941,
        4.768686581088188,
        4.768707563806435,
        4.768728546524683,
        4.768749529242929,
        4.7687705119611765,
        4.768791494679424,
        4.768812477397671,
        4.768833460115919,
        4.768854442834166,
        4.768875425552412,
        4.76889640827066,
        4.768917390988907,
        4.7689383737071545,
        4.768959356425402,
        4.768980339143649,
        4.769001321861896,
        4.769022304580143,
        4.76904281041843,
        4.769063793136677,
        4.769084775854925,
        4.769105758573172,
        4.769126741291419,
        4.769147724009667,
        4.769168706727913,
        4.7691896894461605,
        4.769210672164408,
        4.769231654882655,
        4.769252637600903,
        4.76927362031915,
        4.769294603037396,
        4.769315585755644,
        4.769336568473891,
        4.769357074312178,
        4.769378057030425,
        4.769399039748673,
        4.76942002246692,
        4.7694410051851674,
        4.769461987903414,
        4.769482970621661,
        4.769503953339909,
        4.769524936058156,
        4.769545441896443,
        4.76956642461469,
        4.769587407332938,
        4.769608390051185,
        4.769629372769431,
        4.769650355487679,
        4.769671338205926,
        4.769691844044213,
        4.7697128267624604,
        4.769733809480708,
        4.769754792198955,
        4.7697757749172025,
        4.769796757635449,
        4.769817263473737,
        4.769838246191983,
        4.769859228910231,
        4.769880211628478,
        4.769901194346725,
        4.769922177064973,
        4.76994268290326,
        4.769963665621507,
        4.769984648339754,
        4.770005631058001,
        4.770026613776248,
        4.770047119614535,
        4.7700681023327824,
        4.77008908505103,
        4.770110067769277,
        4.7701310504875245,
        4.7701515563258114,
        4.770172539044059,
        4.770193521762305,
        4.770214504480553,
        4.77023501031884,
        4.770255993037087,
        4.770276975755334,
        4.770297958473582,
        4.770318464311869,
        4.770339447030116,
        4.770360429748363,
        4.770381412466611,
        4.770401918304898,
        4.770422901023145,
        4.770443883741391,
        4.770464866459639,
        4.770485372297926,
        4.770506355016173,
        4.77052733773442,
        4.770547843572707,
        4.770568826290955,
        4.770589809009202,
        4.770610314847489,
        4.770631297565736,
        4.770652280283984,
        4.77067326300223,
        4.770693768840518,
        4.7707147515587645,
        4.770735734277012,
        4.770756240115299,
        4.770777222833546,
        4.7707982055517935,
        4.77081871139008,
        4.770839694108328,
        4.770860676826575,
        4.770881182664862,
        4.770902165383109,
        4.770923148101357,
        4.770943653939644,
        4.770964636657891,
        4.7709856193761375,
        4.771006125214425,
        4.771027107932672,
        4.77104761377096,
        4.771068596489206,
        4.7710895792074535,
        4.77111008504574,
        4.771131067763988,
        4.771152050482235,
        4.771172556320522,
        4.771193539038769,
        4.771214044877056,
        4.771235027595304,
        4.771256010313551,
        4.771276516151838,
        4.771297498870085,
        4.771318004708372,
        4.77133898742662,
        4.771359493264907,
        4.771380475983154,
        4.7714014587014,
        4.771421964539688,
        4.771442947257935,
        4.771463453096222,
        4.771484435814469,
        4.771504941652756,
        4.771525924371003,
        4.771546907089251,
        4.771567412927538,
        4.771588395645785,
        4.771608901484072,
        4.771629884202319,
        4.771650390040606,
        4.771671372758854,
        4.7716918785971405,
        4.771712861315388,
        4.771733367153675,
        4.771754349871922,
        4.771774855710209,
        4.7717958384284564,
        4.771816344266743,
        4.771837326984991,
        4.771857832823278,
        4.771878815541525,
        4.771899321379812,
        4.771920304098059,
        4.771940809936346,
        4.771961792654594,
        4.771982298492881,
        4.772003281211128,
        4.772023787049415,
        4.772044769767662,
        4.772065275605949,
        4.7720862583241965,
        4.7721067641624835,
        4.772127746880731,
        4.772148252719018,
        4.772168758557305,
        4.772189741275552,
        4.772210247113839,
        4.772231229832086,
        4.772251735670373,
        4.77227271838862,
        4.772293224226908,
        4.772314206945154,
        4.772334712783442,
        4.772355218621729,
        4.772376201339976,
        4.772396707178263,
        4.77241768989651,
        4.772438195734797,
        4.772458701573084,
        4.772479684291332,
        4.772500190129619,
        4.772521172847865,
        4.772541678686153,
        4.77256218452444,
        4.772583167242687,
        4.772603673080974,
        4.772624655799222,
        4.7726451616375085,
        4.7726656674757955,
        4.772686650194043,
        4.77270715603233,
        4.772727661870617,
        4.772748644588864,
        4.772769150427151,
        4.772789656265438,
        4.772810638983685,
        4.772831144821972,
        4.77285212754022,
        4.7728726333785065,
        4.7728931392167935,
        4.772914121935041,
        4.772934627773328,
        4.772955133611615,
        4.772976116329862,
        4.772996622168149,
        4.773017128006436,
        4.773037633844723,
        4.77305861656297,
        4.773079122401257,
        4.773099628239544,
        4.7731206109577915,
        4.773141116796078,
        4.773161622634365,
        4.773182605352613,
        4.7732031111909,
        4.773223617029187,
        4.773244122867474,
        4.773265105585721,
        4.773285611424008,
        4.773306117262296,
        4.773327099980542,
        4.77334760581883,
        4.773368111657117,
        4.773388617495404,
        4.773409600213651,
        4.773430106051938,
        4.773450611890225,
        4.773471117728512,
        4.773492100446759,
        4.773512606285046,
        4.773533112123333,
        4.77355361796162,
        4.773574123799907,
        4.7735951065181546,
        4.7736156123564415,
        4.773636118194728,
        4.773656624033015,
        4.773677606751263,
        4.77369811258955,
        4.7737186184278375,
        4.7737391242661245,
        4.773759630104411,
        4.773780612822659,
        4.773801118660946,
        4.773821624499233,
        4.77384213033752,
        4.7738626361758065,
        4.773883618894054,
        4.774130642713419,
        4.774151148551706,
        4.774171654389993,
        4.77419216022828,
        4.774212666066567,
        4.774233171904854,
        4.774253677743141,
        4.774274183581428,
        4.774295166299675,
        4.774315672137962,
        4.77433617797625,
        4.774356683814537,
        4.7743771896528235,
        4.7743976954911105,
        4.774418201329397,
        4.774438707167684,
        4.774459213005971,
        4.774479718844258,
        4.774500701562506,
        4.7745212074007926,
        4.7745417132390795,
        4.774562219077367,
        4.774582724915654,
        4.774603230753941,
        4.774623736592228,
        4.774644242430515,
        4.774664748268802,
        4.774685254107089,
        4.774705759945376,
        4.774726265783664,
        4.774746771621951,
        4.774767277460238,
        4.774787783298525,
        4.7748082891368115,
        4.774829271855059,
        4.774849777693346,
        4.774870283531633,
        4.77489078936992,
        4.774911295208207,
        4.774931801046494,
        4.7749523068847814,
        4.774972812723068,
        4.774993318561355,
        4.775013824399642,
        4.775034330237929,
        4.775054836076216,
        4.775075341914503,
        4.77509584775279,
        4.775116353591077,
        4.775136859429365,
        4.775157365267652,
        4.775177871105939,
        4.775198376944226,
        4.775218882782513,
        4.7752393886207996,
        4.7752598944590865,
        4.775280400297373,
        4.77530090613566,
        4.775320935093988,
        4.775341440932275,
        4.775361946770562,
        4.775382452608849,
        4.775402958447136,
        4.7754234642854225,
        4.77544397012371,
        4.775464475961997,
        4.775484981800284,
        4.775505487638571,
        4.775525993476858,
        4.775546499315145,
        4.775567005153432,
        4.775587510991719,
        4.775608016830006,
        4.775628522668294,
        4.77564855162662,
        4.775669057464907,
        4.775689563303194,
        4.775710069141481,
        4.775730574979768,
        4.775751080818056,
        4.775771586656343,
        4.77579209249463,
        4.775812598332917,
        4.775833104171204,
        4.77585313312953,
        4.775873638967818,
        4.775894144806105,
        4.775914650644392,
        4.775935156482679,
        4.775955662320966,
        4.775976168159253,
        4.77599667399754,
        4.776016702955867,
        4.776037208794154,
        4.776057714632441,
        4.776078220470728,
        4.776098726309015,
        4.776119232147302,
        4.776139261105629,
        4.776159766943916,
        4.776180272782203,
        4.77620077862049,
        4.776221284458777,
        4.776241790297064,
        4.776261819255391,
        4.776282325093678,
        4.776302830931965,
        4.776323336770252,
        4.776343842608539,
        4.776363871566866,
        4.7763843774051535,
        4.7764048832434405,
        4.776425389081727,
        4.776445894920014,
        4.776465923878341,
        4.776486429716628,
        4.776506935554916,
        4.776527441393203,
        4.77654794723149,
        4.776567976189816,
        4.776588482028103,
        4.77660898786639,
        4.776629493704677,
        4.776649522663004,
        4.776670028501291,
        4.776690534339578,
        4.776711040177865,
        4.776731069136193,
        4.7767515749744796,
        4.7767720808127665,
        4.776792586651053,
        4.77681261560938,
        4.776833121447667,
        4.776853627285955,
        4.776874133124242,
        4.776894162082568,
        4.776914667920855,
        4.776935173759142,
        4.7769552027174695,
        4.7769757085557565,
        4.776996214394043,
        4.77701672023233,
        4.777505045311538,
        4.777525074269865,
        4.777545580108153,
        4.7775660859464395,
        4.777586114904766,
        4.777606620743053,
        4.77762664970138,
        4.777647155539667,
        4.777667661377954,
        4.777687690336281,
        4.777708196174568,
        4.777728225132895,
        4.777748730971182,
        4.777769236809469,
        4.777789265767796,
        4.777809771606083,
        4.77782980056441,
        4.777850306402697,
        4.777870812240984,
        4.77789084119931,
        4.777911347037598,
        4.777931375995925,
        4.777951881834212,
        4.777971910792538,
        4.777992416630826,
        4.778012922469113,
        4.77803295142744,
        4.7780534572657265,
        4.778073486224054,
        4.778093992062341,
        4.778114021020667,
        4.778134526858954,
        4.778154555817282,
        4.778175061655569,
        4.778195090613895,
        4.778215596452182,
        4.778236102290469,
        4.778256131248797,
        4.7782766370870835,
        4.77829666604541,
        4.778317171883697,
        4.778337200842024,
        4.778357706680311,
        4.778377735638638,
        4.778398241476925,
        4.778418270435252,
        4.778438776273539,
        4.778458805231866,
        4.778479311070153,
        4.77849934002848,
        4.778519845866767,
        4.778539874825094,
        4.7785603806633805,
        4.778580409621708,
        4.778600915459995,
        4.778620944418321,
        4.778640973376649,
        4.778661479214936,
        4.778681508173262,
        4.778702014011549,
        4.778722042969877,
        4.778742548808164,
        4.77876257776649,
        4.778783083604777,
        4.7788031125631045,
        4.7788236184013915,
        4.778843647359718,
        4.778863676318045,
        4.778884182156332,
        4.778904211114659,
        4.778924716952946,
        4.778944745911273,
        4.77896525174956,
        4.778985280707887,
        4.779005309666214,
        4.779025815504501,
        4.779045844462828,
        4.779066350301115,
        4.779086379259442,
        4.7791064082177686,
        4.7791269140560555,
        4.779146943014382,
        4.77916744885267,
        4.779187477810996,
        4.779207506769323,
        4.77922801260761,
        4.779248041565937,
        4.779268547404224,
        4.779288576362551,
        4.779308605320878,
        4.779329111159165,
        4.779349140117492,
        4.779369169075819,
        4.779389674914106,
        4.779409703872433,
        4.77942973283076,
        4.779450238669047,
        4.7794702676273735,
        4.7794902965857,
        4.779510802423988,
        4.779530831382314,
        4.779550860340641,
        4.779571366178928,
        4.779591395137255,
        4.779611424095582,
        4.779631929933869,
        4.779651958892196,
        4.779671987850523,
        4.77969249368881,
        4.779712522647137,
        4.779732551605464,
        4.779753057443751,
        4.779773086402078,
        4.7797931153604045,
        4.7798136211986915,
        4.779833650157018,
        4.779853679115345,
        4.779873708073672,
        4.779894213911959,
        4.779914242870286,
        4.779934271828613,
        4.7799547776669,
        4.779974806625227,
        4.779994835583554,
        4.78001486454188,
        4.780035370380168,
        4.780055399338495,
        4.780075428296821,
        4.780095457255149,
        4.780115963093436,
        4.780135992051762,
        4.7801560210100895,
        4.780176049968416,
        4.780196555806703,
        4.78021658476503,
        4.780236613723357,
        4.7802566426816835,
        4.78027714851997,
        4.780297177478298,
        4.780317206436624,
        4.780337235394952,
        4.780357741233239,
        4.780377770191565,
        4.780397799149893,
        4.780417828108219,
        4.780437857066546,
        4.780458362904833,
        4.78047839186316,
        4.780498420821487,
        4.780518449779814,
        4.780538478738141,
        4.780558984576428,
        4.780579013534755,
        4.7805990424930815,
        4.780619071451408,
        4.7806391004097355,
        4.780659129368062,
        4.780679635206349,
        4.780699664164676,
        4.780719693123003,
        4.7807397220813295,
        4.780759751039657,
        4.780779779997983,
        4.78080028583627,
        4.780820314794598,
        4.780840343752924,
        4.780860372711251,
        4.780880401669578,
        4.780900430627905,
        4.780920459586232,
        4.780940965424519,
        4.780960994382846,
        4.780981023341173,
        4.7810010522995,
        4.781021081257826,
        4.781041110216154,
        4.78106113917448,
        4.781081168132807,
        4.7811016739710945,
        4.781121702929421,
        4.781141731887748,
        4.781161760846075,
        4.781181789804402,
        4.781201818762729,
        4.7812218477210555,
        4.781241876679382,
        4.7812619056377095,
        4.781281934596036,
        4.781302440434323,
        4.78132246939265,
        4.781342498350977,
        4.7813625273093034,
        4.781382556267631,
        4.781402585225957,
        4.781422614184285,
        4.781442643142611,
        4.781462672100938,
        4.781482701059265,
        4.781502730017592,
        4.781522758975919,
        4.781542787934246,
        4.781562816892572,
        4.7815828458509,
        4.781602874809226,
        4.781622903767554,
        4.781643409605841,
        4.781663438564167,
        4.781683467522494,
        4.781703496480821,
        4.781723525439148,
        4.781743554397475,
        4.781763583355802,
        4.781783612314128,
        4.781803641272456,
        4.781823670230782,
        4.78184369918911,
        4.781863728147436,
        4.781883757105763,
        4.78190378606409,
        4.781923815022417,
        4.781943843980744,
        4.7819638729390705,
        4.781983901897397,
        4.7820039308557245,
        4.782023959814051,
        4.782043988772378,
        4.782064017730705,
        4.7820840466890315,
        4.782104075647359,
        4.782123627725725,
        4.7821436566840525,
        4.782163685642379,
        4.782183714600706,
        4.782203743559033,
        4.7822237725173595,
        4.782243801475687,
        4.7822638304340135,
        4.78228385939234,
        4.782303888350667,
        4.782323917308994,
        4.782343946267321,
        4.782363975225648,
        4.7823840041839745,
        4.782404033142302,
        4.782424062100628,
        4.782444091058956,
        4.782463643137322,
        4.782483672095649,
        4.782503701053976,
        4.7825237300123025,
        4.78254375897063,
        4.782563787928956,
        4.782583816887284,
        4.78260384584561,
        4.782623874803937,
        4.782643903762264,
        4.782663932720591,
        4.782683484798958,
        4.782703513757284,
        4.782723542715612,
        4.782743571673938,
        4.782763600632265,
        4.782783629590592,
        4.782803658548919,
        4.782823687507246,
        4.782843239585612,
        4.78286326854394,
        4.782883297502266,
        4.782903326460593,
        4.78292335541892,
        4.782943384377247,
        4.782963413335574,
        4.78298296541394,
        4.783002994372268,
        4.783023023330594,
        4.783043052288921,
        4.783063081247248,
        4.783083110205575,
        4.783102662283942,
        4.783122691242268,
        4.783142720200596,
        4.783162749158922,
        4.783182778117249,
        4.783202330195616,
        4.783222359153943,
        4.78324238811227,
        4.783262417070596,
        4.783282446028924,
        4.78330199810729,
        4.783322027065617,
        4.783342056023944,
        4.783362084982271,
        4.783382113940598,
        4.783401666018965,
        4.783421694977291,
        4.783441723935618,
        4.783461752893945,
        4.783481781852272,
        4.783501333930639,
        4.7835213628889655,
        4.783541391847293,
        4.783561420805619,
        4.783580972883986,
        4.783601001842313,
        4.7836210308006395,
        4.783641059758967,
        4.7838399187023555,
        4.783859947660682,
        4.783879499739049,
        4.783899528697376,
        4.783919557655702,
        4.7839395866140295,
        4.7839591386923965,
        4.783979167650723,
        4.78399919660905,
        4.784018748687417,
        4.784038777645743,
        4.784058806604071,
        4.784078358682437,
        4.784098387640764,
        4.784118416599091,
        4.784137968677458,
        4.784157997635784,
        4.784178026594112,
        4.784198055552438,
        4.784217607630805,
        4.784237636589132,
        4.784257665547459,
        4.784277217625825,
        4.784297246584153,
        4.784317275542479,
        4.784336827620846,
        4.784356856579173,
        4.78437640865754,
        4.784396437615866,
        4.784416466574193,
        4.78443601865256,
        4.784456047610887,
        4.784476076569214,
        4.784495628647581,
        4.784515657605907,
        4.784535686564234,
        4.7852490989846395,
        4.785269127942966,
        4.7853087089796595,
        4.7853282610580266,
        4.785348290016353,
        4.78536784209472,
        4.7853878710530475,
        4.785407423131414,
        4.785427452089741,
        4.785447004168107,
        4.785467033126435,
        4.785486585204801,
        4.785506614163128,
        4.785526166241494,
        4.785546195199822,
        4.785565747278188,
        4.785585776236515,
        4.785783204540023,
        4.78580323349835,
        4.785822785576716,
        4.785842814535044,
        4.785862366613411,
        4.785882395571737,
        4.785901947650104,
        4.78592149972847,
        4.785941528686798,
        4.785961080765164,
        4.785981109723491,
        4.786000661801857,
        4.786020213880224,
        4.786040242838551,
        4.786059794916918,
        4.786079823875244,
        4.7860993759536115,
        4.786119404911939,
        4.786138956990305,
        4.786158509068672,
        4.7861785380269986,
        4.786198090105366,
        4.786217642183733,
        4.786237671142059,
        4.786257223220426,
        4.786277252178753,
        4.78629680425712,
        4.786316356335486,
        4.786336385293813,
        4.786355937372179,
        4.786375966330507,
        4.786395518408874,
        4.78641507048724,
        4.786435099445567,
        4.7864546515239335,
        4.7864742036023005,
        4.786494232560627,
        4.786513784638994,
        4.786533336717361,
        4.786553365675688,
        4.786572917754055,
        4.786592469832421,
        4.786612498790748,
        4.786632050869114,
        4.786651602947481,
        4.786671631905808,
        4.786691183984175,
        4.786710736062542,
        4.786730765020868,
        4.786750317099235,
        4.786769869177602,
        4.786789898135929,
        4.786809450214296,
        4.786829002292662,
        4.786848554371029,
        4.786868583329356,
        4.786888135407723,
        4.78690768748609,
        4.786927716444416,
        4.786947268522783,
        4.786966820601149,
        4.786986849559477,
        4.787006401637843,
        4.78702595371621,
        4.787045505794577,
        4.787065534752903,
        4.78708508683127,
        4.787104638909637,
        4.787124190988004,
        4.787144219946331,
        4.787163772024697,
        4.787183324103064,
        4.787202876181431,
        4.787222905139758,
        4.787242457218125,
        4.787262009296491,
        4.787281561374858,
        4.787301590333184,
        4.787321142411551,
        4.787340694489918,
        4.7873602465682845,
        4.787380275526612,
        4.787399827604978,
        4.787419379683345,
        4.787438931761712,
        4.787458483840078,
        4.787478512798406,
        4.787498064876773,
        4.787517616955139,
        4.787537169033506,
        4.787556721111873,
        4.787576750070199,
        4.787596302148566,
        4.7876158542269325,
        4.7876354063052995,
        4.7876549583836665,
        4.787674987341993,
        4.78769453942036,
        4.787714091498726,
        4.787733643577093,
        4.78775319565546,
        4.787772747733826,
        4.787792776692154,
        4.78781232877052,
        4.787831880848887,
        4.787851432927254,
        4.78787098500562,
        4.787890537083987,
        4.787910566042314,
        4.787930118120681,
        4.787949670199048,
        4.787969222277414,
        4.787988774355781,
        4.788008326434148,
        4.788027878512514,
        4.788047907470841,
        4.788067459549208,
        4.788087011627574,
        4.7881065637059415,
        4.7881261157843085,
        4.788145667862675,
        4.788165219941042,
        4.788184772019409,
        4.788204800977735,
        4.788224353056102,
        4.788243905134468,
        4.788263457212835,
        4.7883416655263025,
        4.788361217604669,
        4.788380769683036,
        4.788400321761403,
        4.788420350719729,
        4.788439902798096,
        4.788459454876462,
        4.788479006954829,
        4.788498559033196,
        4.7885181111115624,
        4.7885376631899295,
        4.7885572152682965,
        4.788576767346663,
        4.78859631942503,
        4.788615871503397,
        4.788635423581763,
        4.78865497566013,
        4.788674527738497,
        4.788694079816863,
        4.78871363189523,
        4.788733183973597,
        4.7887532129319235,
        4.7887727650102905,
        4.788792317088657,
        4.788811869167024,
        4.788831421245391,
        4.788850973323757,
        4.788870525402124,
        4.788890077480491,
        4.788909629558857,
        4.788929181637224,
        4.788948733715591,
        4.788968285793957,
        4.788987837872324,
        4.789007389950691,
        4.789026942029057,
        4.789046494107424,
        4.789066046185791,
        4.789085598264157,
        4.789105150342524,
        4.789124702420891,
        4.7891442544992575,
        4.7891638065776245,
        4.7891833586559915,
        4.789202910734358,
        4.789221985932764,
        4.789241538011131,
        4.789261090089498,
        4.789280642167864,
        4.789300194246231,
        4.7893197463245984,
        4.789339298402965,
        4.789358850481332,
        4.789378402559699,
        4.789397954638065,
        4.789417506716432,
        4.789437058794799,
        4.789456610873165,
        4.789476162951532,
        4.789495715029899,
        4.789515267108265,
        4.789534819186632,
        4.789553894385039,
        4.789573446463406,
        4.789592998541772,
        4.789612550620139,
        4.789632102698506,
        4.789651654776872,
        4.789671206855239,
        4.789690758933606,
        4.789710311011972,
        4.789729863090339,
        4.789749415168706,
        4.789768490367113,
        4.789788042445479,
        4.789807594523846,
        4.789827146602213,
        4.789846698680579,
        4.789866250758946,
        4.789885802837313,
        4.789905354915679,
        4.789924430114086,
        4.789943982192453,
        4.78996353427082,
        4.789983086349186,
        4.790002638427553,
        4.79002219050592,
        4.790041742584286,
        4.790060817782693,
        4.79008036986106,
        4.790099921939427,
        4.790119474017793,
        4.79013902609616,
        4.790158578174527,
        4.790177653372933,
        4.7901972054513,
        4.790216757529667,
        4.790236309608034,
        4.7902558616864,
        4.790275413764767,
        4.790294488963173,
        4.79031404104154,
        4.7903335931199065,
        4.7903531451982735,
        4.7903726972766405,
        4.790391772475046,
        4.790411324553413,
        4.79043087663178,
        4.790450428710146,
        4.790469980788513,
        4.79048905598692,
        4.790508608065287,
        4.790528160143653,
        4.79054771222202,
        4.790567264300387,
        4.790586339498794,
        4.79060589157716,
        4.790625443655527,
        4.790644995733894,
        4.7906640709323005,
        4.790683623010667,
        4.790703175089034,
        4.790722727167401,
        4.790741802365807,
        4.790761354444173,
        4.79078090652254,
        4.790800458600907,
        4.790819533799314,
        4.79083908587768,
        4.790858637956047,
        4.790878190034414,
        4.79089726523282,
        4.790916817311187,
        4.7912468182436205,
        4.7912663703219875,
        4.791285445520394,
        4.79130499759876,
        4.791324549677127,
        4.791343624875534,
        4.7913631769539,
        4.791382729032267,
        4.791401804230674,
        4.791421356309041,
        4.791440908387407,
        4.791459983585813,
        4.79147953566418,
        4.791499087742547,
        4.791518162940954,
        4.79153771501932,
        4.791557267097687,
        4.791576342296094,
        4.791595894374461,
        4.791614969572867,
        4.7916345216512335,
        4.7916540737296005,
        4.791673148928007,
        4.791692701006373,
        4.79171225308474,
        4.791731328283147,
        4.791750880361514,
        4.7917699555599205,
        4.791789507638287,
        4.791809059716654,
        4.79182813491506,
        4.791847686993427,
        4.791983120902113,
        4.79200219610052,
        4.792021748178887,
        4.792041300257253,
        4.79206037545566,
        4.792079927534027,
        4.792099002732433,
        4.7921185548108,
        4.792137630009207,
        4.792157182087573,
        4.79217625728598,
        4.792195809364347,
        4.792215361442714,
        4.79223443664112,
        4.792253988719486,
        4.792273063917893,
        4.79229261599626,
        4.792311691194667,
        4.792331243273033,
        4.792350318471439,
        4.792369870549806,
        4.792388945748213,
        4.79240849782658,
        4.792427573024987,
        4.792447125103353,
        4.792466200301759,
        4.792485752380126,
        4.792504827578533,
        4.792524379656899,
        4.792543454855306,
        4.792563006933673,
        4.792582082132079,
        4.792601634210446,
        4.792620709408853,
        4.792640261487219,
        4.792659336685626,
        4.792678888763993,
        4.792697963962399,
        4.792717516040766,
        4.792736591239172,
        4.792756143317539,
        4.792775218515946,
        4.792794770594313,
        4.792813845792719,
        4.792832920991126,
        4.792852473069492,
        4.7928715482678985,
        4.7928911003462655,
        4.792910175544672,
        4.792929727623039,
        4.792948802821446,
        4.792968354899812,
        4.7929874300982185,
        4.793006505296625,
        4.793026057374992,
        4.793045132573399,
        4.793064684651765,
        4.793083759850171,
        4.7931033119285384,
        4.793122387126945,
        4.793141462325352,
        4.793161014403719,
        4.793180089602124,
        4.793199641680491,
        4.793218716878898,
        4.793237792077305,
        4.793257344155672,
        4.793276419354078,
        4.793295971432444,
        4.793315046630851,
        4.7933341218292576,
        4.793353673907625,
        4.793372749106031,
        4.793391824304438,
        4.793411376382804,
        4.7934304515812105,
        4.7934500036595775,
        4.793469078857984,
        4.793642186283524,
        4.7936612614819305,
        4.793680813560297,
        4.793699888758703,
        4.79371896395711,
        4.793738516035477,
        4.7937575912338835,
        4.79377666643229,
        4.793796218510656,
        4.793815293709063,
        4.793834368907469,
        4.793853920985836,
        4.793872996184243,
        4.79389207138265,
        4.793911146581056,
        4.793930698659422,
        4.793949773857829,
        4.7939688490562355,
        4.793988401134603,
        4.794007476333009,
        4.794026551531416,
        4.794045626729822,
        4.794065178808189,
        4.794084254006595,
        4.794103329205002,
        4.794122881283369,
        4.794141956481775,
        4.794161031680182,
        4.7941801068785885,
        4.7941996589569555,
        4.794218734155362,
        4.794237809353768,
        4.7942568845521745,
        4.7942764366305415,
        4.794295511828948,
        4.794314587027355,
        4.794333662225761,
        4.794353214304128,
        4.794372289502535,
        4.794391364700941,
        4.794410439899347,
        4.794429515097754,
        4.794449067176121,
        4.7944681423745275,
        4.794487217572934,
        4.794506292771341,
        4.794525367969747,
        4.794544920048113,
        4.79456399524652,
        4.794583070444927,
        4.794602145643333,
        4.79462122084174,
        4.794640772920107,
        4.794659848118513,
        4.79467892331692,
        4.794697998515327,
        4.794717073713733,
        4.794736625792099,
        4.794755700990506,
        4.794774776188913,
        4.794793851387319,
        4.794812926585726,
        4.794832001784132,
        4.794851553862499,
        4.794870629060906,
        4.794889704259313,
        4.794908779457719,
        4.794927854656126,
        4.7949469298545315,
        4.7949664819328985,
        4.794985557131305,
        4.795004632329712,
        4.795023707528118,
        4.795042782726525,
        4.795061857924932,
        4.795080933123338,
        4.795100008321745,
        4.795119560400111,
        4.7951386355985175,
        4.795157710796924,
        4.795176785995331,
        4.795195861193737,
        4.795214936392144,
        4.7952340115905505,
        4.795253086788957,
        4.795272161987364,
        4.795291714065731,
        4.795310789264137,
        4.795329864462544,
        4.79534893966095,
        4.795368014859356,
        4.795387090057763,
        4.7954061652561695,
        4.795635544517008,
        4.795654619715415,
        4.7956736949138214,
        4.795692770112228,
        4.795711845310635,
        4.795730920509041,
        4.795749995707448,
        4.7957690709058545,
        4.795788146104261,
        4.795807221302668,
        4.795826296501074,
        4.795845371699481,
        4.7958644468978875,
        4.795883522096294,
        4.795902597294701,
        4.795921672493107,
        4.795940747691514,
        4.79595982288992,
        4.795978898088326,
        4.795997973286733,
        4.796017048485139,
        4.796036123683546,
        4.796055198881953,
        4.796074274080359,
        4.796093349278766,
        4.7961124244771725,
        4.796131499675579,
        4.796150574873986,
        4.796169650072392,
        4.796188725270799,
        4.7962078004692055,
        4.796226875667612,
        4.796245950866019,
        4.796265026064425,
        4.796284101262832,
        4.796303176461238,
        4.796322251659644,
        4.796340849978091,
        4.796359925176498,
        4.7963790003749045,
        4.79639807557331,
        4.796417150771717,
        4.796436225970123,
        4.79645530116853,
        4.796474376366937,
        4.796493451565343,
        4.79651252676375,
        4.796531601962156,
        4.796550677160563,
        4.79656975235897,
        4.796588350677416,
        4.7966074258758225,
        4.796626501074229,
        4.796645576272636,
        4.796664651471042,
        4.796683726669449,
        4.7967028018678555,
        4.796721877066262,
        4.796740952264669,
        4.796759550583115,
        4.7967786257815215,
        4.796797700979928,
        4.796816776178335,
        4.796835851376741,
        4.796854926575148,
        4.7968740017735545,
        4.796893076971961,
        4.796911675290407,
        4.796930750488814,
        4.7969498256872205,
        4.796968900885627,
        4.796987976084034,
        4.79700705128244,
        4.7970256496008865,
        4.797044724799293,
        4.7970637999977,
        4.797082875196106,
        4.797101950394513,
        4.797121025592919,
        4.797139623911366,
        4.797158699109772,
        4.797177774308179,
        4.7971968495065855,
        4.797215924704991,
        4.797234523023438,
        4.797253598221845,
        4.7972726734202515,
        4.797291748618658,
        4.797310823817064,
        4.797329422135511,
        4.7973484973339175,
        4.797367572532324,
        4.797386647730731,
        4.7974057229291365,
        4.797424321247584,
        4.79744339644599,
        4.797462471644397,
        4.797481546842803,
        4.79750014516125,
        4.797519220359656,
        4.797538295558063,
        4.797557370756469,
        4.797575969074916,
        4.797595044273322,
        4.797614119471729,
        4.797633194670135,
        4.797651792988582,
        4.797670868186988,
        4.797689943385395,
        4.797709018583801,
        4.797727616902248,
        4.797746692100654,
        4.797765767299061,
        4.797784842497467,
        4.797803440815914,
        4.79782251601432,
        4.797841591212727,
        4.797860189531173,
        4.79787926472958,
        4.797898339927986,
        4.797917415126393,
        4.797936013444839,
        4.797955088643246,
        4.797974163841652,
        4.797992762160098,
        4.798011837358505,
        4.798030912556912,
        4.798049510875358,
        4.798068586073764,
        4.798087661272171,
        4.798106259590617,
        4.798125334789024,
        4.79814440998743,
        4.7981630083058775,
        4.798182083504284,
        4.79820115870269,
        4.798219757021137,
        4.7982388322195435,
        4.79825790741795,
        4.798276505736396,
        4.798295580934803,
        4.7983146561332095,
        4.798333254451656,
        4.798352329650062,
        4.798371404848469,
        4.798390003166915,
        4.798409078365322,
        4.798427676683768,
        4.7984467518821745,
        4.798465827080581,
        4.798484425399027,
        4.798503500597434,
        4.79852209891588,
        4.798541174114287,
        4.798560249312693,
        4.79857884763114,
        4.798597922829547,
        4.798616521147993,
        4.7986355963464,
        4.798654671544806,
        4.798673269863253,
        4.798692345061659,
        4.798710943380105,
        4.798730018578512,
        4.798749093776919,
        4.798767692095365,
        4.798786767293771,
        4.798805365612218,
        4.798824440810624,
        4.79884303912907,
        4.798862114327477,
        4.798880712645924,
        4.798899787844331,
        4.798918863042737,
        4.7989374613611835,
        4.79895653655959,
        4.798975134878036,
        4.798994210076443,
        4.799012808394889,
        4.799031883593296,
        4.799050481911742,
        4.7990695571101485,
        4.799238849496007,
        4.799257924694413,
        4.79927652301286,
        4.799295598211266,
        4.799314196529712,
        4.799333271728119,
        4.799351870046566,
        4.799370945244973,
        4.799389543563419,
        4.7994086187618255,
        4.801561731781964,
        4.803979036300036,
        4.804000972778203,
        4.80402290925637,
        4.804045322614498,
        4.804067259092666,
        4.804089195570834,
        4.804111132049001,
        4.804133068527169,
        4.804155005005336,
        4.804176941483504,
        4.804198877961671,
        4.804220814439839,
        4.804242750918006,
        4.804264687396174,
        4.804286623874342,
        4.8043090372324695,
        4.804330973710637,
        4.804352910188804,
        4.804374846666971,
        4.8043967831451395,
        4.804418719623307,
        4.804440656101474,
        4.804462592579642,
        4.8044845290578095,
        4.804506465535977,
        4.804528402014144,
        4.804550338492312,
        4.80457227497048,
        4.804594211448647,
        4.804616147926815,
        4.804638084404982,
        4.80466002088315,
        4.804681957361317,
        4.804703893839485,
        4.804725830317652,
        4.80474776679582,
        4.804769703273988,
        4.804791639752155,
        4.804813576230322,
        4.80483551270849,
        4.804856972306697,
        4.804878908784865,
        4.804900845263033,
        4.8049227817412,
        4.804944718219367,
        4.804966654697535,
        4.804988591175703,
        4.80501052765387,
        4.805032464132037,
        4.805054400610206,
        4.805076337088373,
        4.80509827356654,
        4.8051202100447075,
        4.805141669642915,
        4.8051636061210825,
        4.805185542599251,
        4.805207479077418,
        4.805229415555585,
        4.8052513520337525,
        4.805273288511921,
        4.805295224990088,
        4.805316684588296,
        4.805338621066463,
        4.80536055754463,
        4.805382494022798,
        4.805404430500966,
        4.805426366979133,
        4.805447826577341,
        4.805469763055508,
        4.805491699533675,
        4.805513636011843,
        4.805535572490011,
        4.805557508968178,
        4.805578968566386,
        4.805600905044553,
        4.8056228415227205,
        4.805644778000888,
        4.805666714479056,
        4.805688174077263,
        4.805710110555431,
        4.805732047033598,
        4.8057539835117655,
        4.805775443109973,
        4.805797379588141,
        4.805819316066308,
        4.805841252544476,
        4.805862712142683,
        4.80588464862085,
        4.805906585099018,
        4.805928521577186,
        4.805949981175393,
        4.805971917653561,
        4.805993854131728,
        4.806015790609895,
        4.806037250208103,
        4.80605918668627,
        4.8060811231644385,
        4.806102582762645,
        4.806124519240813,
        4.806146455718981,
        4.806168392197148,
        4.806189851795356,
        4.806211788273523,
        4.80623372475169,
        4.806451182013525,
        4.8064731184916925,
        4.8064945780899,
        4.8065165145680675,
        4.806538451046236,
        4.8065599106444425,
        4.80658184712261,
        4.806603783600778,
        4.806625243198985,
        4.806647179677153,
        4.80666863927536,
        4.806690575753527,
        4.806712512231695,
        4.806733971829902,
        4.8067559083080695,
        4.806777367906277,
        4.806799304384445,
        4.806820763982652,
        4.80684270046082,
        4.806864636938987,
        4.806886096537195,
        4.806908033015362,
        4.80692949261357,
        4.806951429091737,
        4.806972888689945,
        4.806994825168112,
        4.80701628476632,
        4.807038221244487,
        4.807059680842694,
        4.807081617320862,
        4.807103553799029,
        4.807125013397237,
        4.8071469498754045,
        4.807168409473611,
        4.8071903459517795,
        4.807211805549986,
        4.807233742028155,
        4.807255201626361,
        4.807277138104529,
        4.8072985977027365,
        4.807320057300944,
        4.8073419937791115,
        4.807363453377318,
        4.807385389855487,
        4.8074068494536935,
        4.807428785931862,
        4.8074502455300685,
        4.807472182008236,
        4.8074936416064435,
        4.807515578084611,
        4.807537037682819,
        4.8075584972810255,
        4.807580433759194,
        4.8076018933574005,
        4.807623829835568,
        4.807645289433776,
        4.807667225911943,
        4.807688685510151,
        4.8077101451083575,
        4.807732081586526,
        4.8077535411847325,
        4.807775477662901,
        4.807796937261108,
        4.807818396859315,
        4.807840333337483,
        4.80786179293569,
        4.807883252533897,
        4.8079051890120645,
        4.807926648610272,
        4.80794858508844,
        4.807970044686647,
        4.807991504284854,
        4.808013440763022,
        4.808034900361229,
        4.808056359959437,
        4.808078296437604,
        4.808099756035812,
        4.808121215634019,
        4.808143152112187,
        4.808164611710394,
        4.808186071308602,
        4.808208007786769,
        4.808229467384976,
        4.808250926983184,
        4.8082723865813914,
        4.808294323059559,
        4.808315782657766,
        4.808337242255973,
        4.808359178734141,
        4.808380638332348,
        4.808402097930555,
        4.808423557528763,
        4.80844549400693,
        4.808466953605138,
        4.808488413203345,
        4.808510349681513,
        4.80853180927972,
        4.808553268877928,
        4.808574728476135,
        4.808596664954303,
        4.80861812455251,
        4.8086395841507175,
        4.808661043748924,
        4.808682503347132,
        4.808704439825299,
        4.808725899423507,
        4.808747359021714,
        4.808768818619922,
        4.808790755098089,
        4.808812214696297,
        4.808833674294504,
        4.8088551338927115,
        4.808876593490918,
        4.8088985299690865,
        4.808919989567293,
        4.808941449165501,
        4.808962908763708,
        4.808984368361916,
        4.8090058279601235,
        4.809027764438291,
        4.809049224036498,
        4.8090706836347055,
        4.809092143232913,
        4.80911360283112,
        4.809135062429328,
        4.809156522027535,
        4.809178458505702,
        4.80919991810391,
        4.8092213777021176,
        4.809242837300324,
        4.809264296898532,
        4.809285756496739,
        4.809307216094947,
        4.809328675693154,
        4.809350612171322,
        4.809372071769529,
        4.8093935313677365,
        4.809414990965943,
        4.809436450564151,
        4.809457910162359,
        4.809479369760566,
        4.8095008293587735,
        4.80952228895698,
        4.809543748555188,
        4.809565208153395,
        4.809586667751603,
        4.80960860422977,
        4.809630063827978,
        4.809651523426185,
        4.8096729830243925,
        4.809694442622599,
        4.809715902220807,
        4.809737361819015,
        4.809758821417222,
        4.8097802810154295,
        4.809801740613636,
        4.809823200211844,
        4.809844659810051,
        4.809866119408259,
        4.809887579006467,
        4.8099090386046734,
        4.810080715390333,
        4.81010217498854,
        4.8101236345867475,
        4.810145094184954,
        4.810188013381369,
        4.810209472979577,
        4.810230932577785,
        4.810252392175991,
        4.810273374894239,
        4.810294834492446,
        4.810316294090653,
        4.810337753688861,
        4.810359213287068,
        4.810380672885276,
        4.810402132483483,
        4.8104235920816905,
        4.810445051679897,
        4.810466511278105,
        4.810487970876313,
        4.81050943047452,
        4.810530413192767,
        4.810551872790975,
        4.810573332389182,
        4.8105947919873895,
        4.810616251585596,
        4.810637711183804,
        4.810659170782011,
        4.810680630380219,
        4.810702089978426,
        4.810723072696673,
        4.810744532294881,
        4.810765991893088,
        4.810787451491295,
        4.810808911089503,
        4.81083037068771,
        4.810851353405957,
        4.810872813004165,
        4.810894272602372,
        4.81091573220058,
        4.810937191798787,
        4.810958651396994,
        4.810979634115242,
        4.811001093713449,
        4.811022553311656,
        4.811193276337395,
        4.81123619553381,
        4.811278637850264,
        4.811683985816403,
        4.811705445414611,
        4.811726905012819,
        4.811747887731065,
        4.811769347329273,
        4.812046414586128,
        4.812067397304375,
        4.81210983962083,
        4.812131299219037,
        4.813469901267217,
        4.8157031301206645,
        4.815724112838912,
        4.815745095557159,
        4.815766078275407,
        4.815787060993653,
        4.8158080437119,
        4.815829026430148,
        4.815850009148395,
        4.8158709918666425,
        4.81589197458489,
        4.815912957303136,
        4.815933940021384,
        4.815954922739631,
        4.815975905457878,
        4.815996888176126,
        4.816017870894373,
        4.81603885361262,
        4.816059359450907,
        4.816080342169154,
        4.816101324887401,
        4.8161223076056485,
        4.816143290323896,
        4.816164273042143,
        4.816185255760391,
        4.816206238478637,
        4.816227221196884,
        4.816248203915132,
        4.816269186633379,
        4.8162901693516265,
        4.816311152069874,
        4.816332134788121,
        4.816353117506368,
        4.816374100224615,
        4.816395082942862,
        4.816415588781149,
        4.816436571499397,
        4.816457554217644,
        4.816478536935891,
        4.816499519654139,
        4.816520502372385,
        4.8165414850906325,
        4.81656246780888,
        4.816583450527127,
        4.816603956365414,
        4.8166249390836615,
        4.816645921801909,
        4.816666904520156,
        4.816687887238403,
        4.81670886995665,
        4.816729852674897,
        4.816750835393145,
        4.816771341231432,
        4.816792323949679,
        4.816813306667926,
        4.816834289386173,
        4.81685527210442,
        4.816876254822668,
        4.8168967606609545,
        4.816917743379202,
        4.816938726097449,
        4.816959708815697,
        4.816980691533944,
        4.81700167425219,
        4.817022180090478,
        4.817043162808725,
        4.817064145526972,
        4.817085128245219,
        4.817106110963467,
        4.817126616801754,
        4.817147599520001,
        4.817168582238248,
        4.817189564956496,
        4.817210547674742,
        4.81723105351303,
        4.8172520362312765,
        4.817273018949524,
        4.817294001667771,
        4.817314507506058,
        4.8173354902243055,
        4.817356472942553,
        4.8173774556608,
        4.817398438379048,
        4.8174189442173345,
        4.817439926935581,
        4.817460909653828,
        4.817481892372076,
        4.817502398210363,
        4.81752338092861,
        4.817544363646857,
        4.817564869485144,
        4.817585852203392,
        4.817606834921639,
        4.817627817639886,
        4.817648323478173,
        4.817669306196421,
        4.817690288914667,
        4.817710794752955,
        4.817731777471201,
        4.817752760189449,
        4.817773742907696,
        4.817794248745983,
        4.81781523146423,
        4.817836214182478,
        4.817856720020765,
        4.817877702739012,
        4.817898685457259,
        4.817919191295546,
        4.817940174013794,
        4.81796115673204,
        4.817981662570328,
        4.8180026452885745,
        4.818023628006822,
        4.818044133845109,
        4.818065116563356,
        4.8180860992816035,
        4.81810660511989,
        4.818127587838138,
        4.818148570556385,
        4.818169076394672,
        4.818190059112919,
        4.818210564951206,
        4.818231547669454,
        4.818252530387701,
        4.818273036225988,
        4.818294018944235,
        4.818315001662482,
        4.818335507500769,
        4.818356490219016,
        4.818376996057303,
        4.81839797877555,
        4.818418961493798,
        4.818439467332085,
        4.818460450050332,
        4.818480955888619,
        4.818501938606866,
        4.818522921325114,
        4.818543427163401,
        4.818564409881648,
        4.818584915719935,
        4.818605898438182,
        4.818626404276469,
        4.818647386994717,
        4.818667892833004,
        4.818688875551251,
        4.818709858269497,
        4.818730364107785,
        4.818751346826032,
        4.8187718526643195,
        4.818792835382566,
        4.818813341220854,
        4.8188343239391,
        4.818854829777387,
        4.818875812495635,
        4.8188963183339215,
        4.818917301052169,
        4.818937806890456,
        4.818958789608703,
        4.81897929544699,
        4.8190002781652375,
        4.819020784003524,
        4.819041766721772,
        4.819062272560059,
        4.819083255278306,
        4.819103761116593,
        4.81912474383484,
        4.819145249673127,
        4.819166232391375,
        4.819186738229662,
        4.819207720947909,
        4.819228226786196,
        4.819249209504443,
        4.81926971534273,
        4.8192906980609775,
        4.8193112038992645,
        4.819332186617512,
        4.819352692455799,
        4.819373675174046,
        4.819394181012333,
        4.81941468685062,
        4.819435669568867,
        4.819456175407154,
        4.819477158125402,
        4.819497663963689,
        4.819518646681936,
        4.819539152520223,
        4.81955965835851,
        4.819580641076757,
        4.819601146915044,
        4.8196221296332915,
        4.8196426354715785,
        4.819663618189826,
        4.819684124028113,
        4.8197046298664,
        4.819725612584647,
        4.819746118422934,
        4.819767101141181,
        4.819787606979468,
        4.819808112817755,
        4.819829095536003,
        4.8198496013742895,
        4.8198701072125765,
        4.819891089930824,
        4.819911595769111,
        4.819932578487358,
        4.819953084325645,
        4.819973590163932,
        4.819994572882179,
        4.820015078720466,
        4.820035584558753,
        4.820056567277001,
        4.8200770731152875,
        4.8200975789535745,
        4.820118561671822,
        4.820139067510109,
        4.820159573348396,
        4.820180556066643,
        4.82020106190493,
        4.820221567743217,
        4.820242550461464,
        4.820263056299751,
        4.820283562138038,
        4.820304544856286,
        4.8203250506945725,
        4.82034555653286,
        4.820366062371147,
        4.820387045089394,
        4.820407550927682,
        4.8204280567659685,
        4.820449039484216,
        4.820469545322503,
        4.82049005116079,
        4.820510556999077,
        4.820531539717324,
        4.820552045555611,
        4.820572551393898,
        4.820593534112145,
        4.820614039950432,
        4.820634545788719,
        4.820655051627006,
        4.8206760343452535,
        4.82069654018354,
        4.820717046021827,
        4.820737551860114,
        4.820758534578362,
        4.820779040416649,
        4.820799546254936,
        4.820820052093223,
        4.82084055793151,
        4.820861540649757,
        4.820882046488045,
        4.820902552326332,
        4.8209230581646185,
        4.820944040882866,
        4.820964546721153,
        4.82098505255944,
        4.821005558397727,
        4.821026064236014,
        4.821047046954261,
        4.821067552792548,
        4.821088058630835,
        4.821108564469122,
        4.821129070307409,
        4.821150053025656,
        4.821170558863943,
        4.82119106470223,
        4.821252582217092,
        4.8217051412992875,
        4.8217256471375745,
        4.821746152975861,
        4.821767135694109,
        4.821787641532396,
        4.821808147370683,
        4.82182865320897,
        4.8218491590472565,
        4.8218696648855435,
        4.82189017072383,
        4.821910676562117,
        4.821931182400405,
        4.821951688238692,
        4.821972194076979,
        4.821992699915266,
        4.822013205753553,
        4.82203371159184,
        4.822054694310087,
        4.822075200148374,
        4.822095705986661,
        4.822116211824948,
        4.822136717663235,
        4.822157223501523,
        4.82217772933981,
        4.822198235178097,
        4.822218741016384,
        4.822239246854671,
        4.822259752692958,
        4.8222802585312445,
        4.8223007643695315,
        4.822321270207818,
        4.822341776046106,
        4.822362281884393,
        4.82238278772268,
        4.822403293560967,
        4.822423799399254,
        4.822444305237541,
        4.822464811075828,
        4.822485316914115,
        4.822505822752403,
        4.82252632859069,
        4.822546834428977,
        4.8225673402672635,
        4.8227309100935996,
        4.8227514159318865,
        4.822771921770173,
        4.82279242760846,
        4.822812933446748,
        4.822833439285035,
        4.822853945123322,
        4.822874450961609,
        4.822894956799896,
        4.822915462638183,
        4.82293596847647,
        4.822956474314757,
        4.822976980153044,
        4.822997009111371,
        4.823017514949658,
        4.823038020787945,
        4.823058526626232,
        4.823079032464519,
        4.823099538302806,
        4.823120044141094,
        4.823140549979381,
        4.823161055817668,
        4.823181084775994,
        4.823201590614281,
        4.823222096452568,
        4.823242602290856,
        4.823263108129143,
        4.82328361396743,
        4.823304119805717,
        4.823324625644004,
        4.82334465460233,
        4.823365160440617,
        4.823385666278905,
        4.823406172117192,
        4.823426677955479,
        4.823447183793766,
        4.823467212752092,
        4.823487718590379,
        4.823508224428667,
        4.823528730266954,
        4.823549236105241,
        4.823569741943528,
        4.8235897709018545,
        4.823610276740141,
        4.823630782578429,
        4.823651288416716,
        4.823671794255003,
        4.82369230009329,
        4.823712329051617,
        4.823732834889904,
        4.823794352404765,
        4.823814381363092,
        4.823834887201379,
        4.823855393039666,
        4.823875898877953,
        4.82389592783628,
        4.823916433674567,
        4.823936939512854,
        4.823957445351141,
        4.823977951189428,
        4.823997980147755,
        4.824018485986042,
        4.824038991824329,
        4.824059497662616,
        4.824079526620943,
        4.8241000324592305,
        4.824120538297517,
        4.824141044135804,
        4.824161073094131,
        4.824181578932418,
        4.824202084770705,
        4.824222113729032,
        4.824242619567319,
        4.824263125405606,
        4.824283631243893,
        4.8243036602022205,
        4.824324166040507,
        4.824344671878794,
        4.824365177717081,
        4.824385206675408,
        4.824405712513695,
        4.824426218351983,
        4.824446247310309,
        4.824466753148596,
        4.824487258986883,
        4.82450728794521,
        4.824527793783497,
        4.824548299621784,
        4.824568328580111,
        4.824588834418398,
        4.824609340256685,
        4.824629369215012,
        4.824649875053299,
        4.824670380891586,
        4.824690409849913,
        4.8247109156882,
        4.824731421526487,
        4.824751450484814,
        4.824771956323101,
        4.824792462161388,
        4.824812491119715,
        4.824832996958002,
        4.824853502796289,
        4.824873531754616,
        4.824894037592903,
        4.82491454343119,
        4.824934572389517,
        4.824955078227804,
        4.82497510718613,
        4.824995613024418,
        4.825016118862705,
        4.825036147821032,
        4.825056653659319,
        4.825077159497606,
        4.825097188455933,
        4.82511769429422,
        4.8251377232525465,
        4.8251582290908335,
        4.82517873492912,
        4.825198763887448,
        4.825219269725735,
        4.825239298684061,
        4.825259804522348,
        4.825279833480676,
        4.825300339318963,
        4.82532084515725,
        4.825340874115576,
        4.825361379953864,
        4.8253814089121905,
        4.825401914750477,
        4.825421943708804,
        4.825442449547092,
        4.825462955385379,
        4.825482984343705,
        4.825503490181992,
        4.82552351914032,
        4.825544024978607,
        4.825564053936933,
        4.82558455977522,
        4.8256045887335475,
        4.825625094571834,
        4.825645123530161,
        4.825665629368448,
        4.825685658326775,
        4.825706164165062,
        4.825726193123389,
        4.825746698961676,
        4.825766727920003,
        4.82578723375829,
        4.825807262716617,
        4.825827768554904,
        4.825847797513231,
        4.825868303351518,
        4.8258883323098445,
        4.825908838148131,
        4.825928867106459,
        4.825949372944746,
        4.825969401903072,
        4.825989907741359,
        4.826009936699687,
        4.826030442537974,
        4.8260504714963,
        4.826070977334587,
        4.8260910062929145,
        4.8261115121312015,
        4.826394778827539,
        4.8264148077858655,
        4.8264353136241525,
        4.82645534258248,
        4.826475371540806,
        4.826495877379093,
        4.82651590633742,
        4.826536412175708,
        4.826556441134034,
        4.826576470092361,
        4.826596975930648,
        4.826617004888975,
        4.826637510727262,
        4.826657539685589,
        4.826677568643916,
        4.826698074482203,
        4.8267181034405295,
        4.826738132398857,
        4.826758638237144,
        4.82677866719547,
        4.826799173033757,
        4.826819201992085,
        4.826839230950411,
        4.826859736788698,
        4.826879765747026,
        4.826899794705352,
        4.826920300543639,
        4.826940329501966,
        4.826960358460293,
        4.82698086429858,
        4.827000893256907,
        4.827020922215234,
        4.827041428053521,
        4.8270614570118475,
        4.827081485970175,
        4.827101991808462,
        4.827122020766788,
        4.827142049725116,
        4.827162555563403,
        4.827182584521729,
        4.827202613480056,
        4.827223119318344,
        4.82724314827667,
        4.827263177234997,
        4.827283206193324,
        4.827303712031611,
        4.827323740989938,
        4.827343769948265,
        4.827364275786552,
        4.827384304744879,
        4.827404333703206,
        4.8274243626615325,
        4.8274448684998195,
        4.827464897458146,
        4.827484926416473,
        4.8275049553748,
        4.827525461213087,
        4.827545490171414,
        4.827565519129741,
        4.827585548088068,
        4.827606053926355,
        4.827626082884682,
        4.827646111843008,
        4.827666140801336,
        4.827686646639623,
        4.827706675597949,
        4.827726704556277,
        4.827746733514603,
        4.82776723935289,
        4.8277872683112175,
        4.827807297269544,
        4.827827326227871,
        4.827847355186198,
        4.827867861024485,
        4.8278878899828115,
        4.827907918941139,
        4.827927947899465,
        4.827947976857792,
        4.82796848269608,
        4.827988511654406,
        4.828008540612733,
        4.82802856957106,
        4.828048598529387,
        4.828069104367674,
        4.828089133326001,
        4.828109162284328,
        4.828129191242654,
        4.828149220200982,
        4.828169726039269,
        4.828189754997595,
        4.828209783955923,
        4.828229812914249,
        4.8282498418725766,
        4.828269870830903,
        4.82828989978923,
        4.828310405627517,
        4.828330434585844,
        4.8283504635441705,
        4.828370492502498,
        4.8283905214608245,
        4.828410550419151,
        4.828430579377478,
        4.828451085215765,
        4.828471114174092,
        4.828491143132419,
        4.828511172090746,
        4.828531201049072,
        4.8285512300074,
        4.828571258965726,
        4.828591287924054,
        4.828611793762341,
        4.828631822720667,
        4.828651851678995,
        4.828671880637321,
        4.828691909595648,
        4.828711938553975,
        4.828731967512302,
        4.828751996470629,
        4.828772025428956,
        4.828792054387282,
        4.82881208334561,
        4.828832112303936,
        4.828852618142223,
        4.8288726471005505,
        4.828892676058877,
        4.828912705017204,
        4.828932733975531,
        4.828952762933858,
        4.828972791892185,
        4.8289928208505115,
        4.829012849808838,
        4.8290328787671655,
        4.829052907725492,
        4.829072936683819,
        4.829092965642146,
        4.8291129946004725,
        4.8291330235588,
        4.8291530525171265,
        4.829173081475453,
        4.82919311043378,
        4.829213139392107,
        4.829233168350434,
        4.829253197308761,
        4.829273226267087,
        4.829293255225415,
        4.829313284183741,
        4.829333313142069,
        4.829353342100395,
        4.829373371058722,
        4.829393400017049,
        4.829413428975376,
        4.829433457933703,
        4.82945348689203,
        4.829473515850356,
        4.829493544808684,
        4.82951357376701,
        4.829533602725338,
        4.829553631683664,
        4.829573660641991,
        4.829593689600318,
        4.829613718558645,
        4.829633747516971,
        4.829653776475299,
        4.829673805433625,
        4.829693834391953,
        4.829713863350279,
        4.829733892308606,
        4.830073907720203,
        4.83009393667853,
        4.830113488756896,
        4.830133517715224,
        4.83015354667355,
        4.8301735756318775,
        4.830193604590204,
        4.830213633548531,
        4.830233662506858,
        4.830253691465185,
        4.830273720423512,
        4.830293272501878,
        4.8303133014602055,
        4.830333330418532,
        4.830353359376859,
        4.830373388335186,
        4.830393417293513,
        4.83041344625184,
        4.830432998330206,
        4.8304530272885335,
        4.83047305624686,
        4.830493085205187,
        4.830513114163514,
        4.830533143121841,
        4.830553172080168,
        4.830572724158534,
        4.8305927531168615,
        4.830612782075188,
        4.830632811033515,
        4.830652839991842,
        4.830672392070209,
        4.830692421028536,
        4.830712449986862,
        4.8307324789451895,
        4.830752507903516,
        4.830772536861843,
        4.83079208894021,
        4.830812117898537,
        4.830832146856864,
        4.83085217581519,
        4.830871727893557,
        4.830891756851884,
        4.830911785810211,
        4.830931814768538,
        4.830951843726865,
        4.830971395805231,
        4.830991424763559,
        4.831011453721885,
        4.831031482680212,
        4.831051034758579,
        4.831071063716905,
        4.831091092675233,
        4.831111121633559,
        4.831131150591887,
        4.831150702670253,
        4.83117073162858,
        4.831190760586907,
        4.831210312665274,
        4.8312303416236,
        4.831250370581928,
        4.831270399540254,
        4.831289951618621,
        4.831309980576948,
        4.831330009535274,
        4.831350038493602,
        4.831369590571968,
        4.831389619530295,
        4.831409648488622,
        4.831429200566989,
        4.831449229525315,
        4.831469258483643,
        4.831489287441969,
        4.831508839520336,
        4.831528868478663,
        4.83154889743699,
        4.831568449515356,
        4.831588478473684,
        4.83160850743201,
        4.831628059510377,
        4.831648088468704,
        4.83166811742703,
        4.831687669505397,
        4.831707698463725,
        4.831727727422051,
        4.831747756380378,
        4.831767308458745,
        4.8317873374170714,
        4.8318068894954385,
        4.831826918453765,
        4.831846947412092,
        4.8318664994904585,
        4.831886528448786,
        4.8319065574071125,
        4.8319261094854795,
        4.831946138443806,
        4.8319661674021335,
        4.8319857194805,
        4.832005748438827,
        4.8320257773971536,
        4.832045329475521,
        4.832065358433847,
        4.832084910512214,
        4.832104939470541,
        4.832124968428868,
        4.832144520507234,
        4.832164549465562,
        4.832184578423888,
        4.832204130502255,
        4.832224159460582,
        4.832243711538949,
        4.832263740497275,
        4.832283769455603,
        4.832303321533969,
        4.832323350492296,
        4.832342902570662,
        4.83236293152899,
        4.832382483607356,
        4.832402512565683,
        4.83242254152401,
        4.832442093602377,
        4.832462122560703,
        4.83248167463907,
        4.832501703597397,
        4.832521255675764,
        4.8325412846340905,
        4.832561313592418,
        4.832580865670784,
        4.8326008946291115,
        4.8326204467074785,
        4.832640475665805,
        4.832660027744172,
        4.832680056702499,
        4.832699608780866,
        4.832719637739192,
        4.832739189817559,
        4.832759218775886,
        4.832778770854253,
        4.832798799812579,
        4.832818351890946,
        4.832838380849273,
        4.8328584098076,
        4.832877961885966,
        4.832897990844294,
        4.83291754292266,
        4.832937571880987,
        4.832957123959353,
        4.832977152917681,
        4.832996704996047,
        4.833016733954374,
        4.833036286032741,
        4.8330558381111075,
        4.833075867069435,
        4.833095419147801,
        4.8331154481061285,
        4.833135000184495,
        4.833155029142822,
        4.833174581221188,
        4.833194610179516,
        4.833214162257882,
        4.833234191216209,
        4.833253743294575,
        4.833273772252903,
        4.83329332433127,
        4.833313353289596,
        4.833332905367963,
        4.833352457446329,
        4.833727761974979,
        4.833747790933305,
        4.833767343011672,
        4.833787371969999,
        4.833806924048366,
        4.833826476126733,
        4.833846505085059,
        4.833866057163426,
        4.833885609241793,
        4.83390563820012,
        4.833925190278486,
        4.833944742356853,
        4.83396477131518,
        4.833984323393547,
        4.834004352351873,
        4.83402390443024,
        4.834043456508607,
        4.834063485466934,
        4.834083037545301,
        4.834102589623668,
        4.834122618581994,
        4.834142170660361,
        4.8341617227387275,
        4.834181751697055,
        4.834201303775421,
        4.834220855853788,
        4.834240884812115,
        4.834260436890482,
        4.834279988968849,
        4.834300017927175,
        4.834319570005542,
        4.834339122083908,
        4.834358674162275,
        4.834378703120603,
        4.834398255198969,
        4.834417807277336,
        4.834437836235662,
        4.834457388314029,
        4.834476940392396,
        4.8344964924707625,
        4.83451652142909,
        4.834536073507456,
        4.834555625585823,
        4.83457565454415,
        4.834595206622517,
        4.834614758700884,
        4.83463431077925,
        4.834654339737577,
        4.834673891815943,
        4.83469344389431,
        4.834712995972677,
        4.834733024931004,
        4.834752577009371,
        4.834772129087737,
        4.834791681166104,
        4.8348117101244314,
        4.834831262202798,
        4.834850814281165,
        4.834870366359532,
        4.834890395317858,
        4.834909947396225,
        4.834929499474591,
        4.834949051552958,
        4.834968603631325,
        4.834988632589652,
        4.835008184668019,
        4.835027736746385,
        4.835047288824752,
        4.8350673177830785,
        4.8350868698614455,
        4.8351064219398125,
        4.835125974018179,
        4.835145526096546,
        4.835165555054872,
        4.835185107133239,
        4.835204659211606,
        4.835224211289972,
        4.835243763368339,
        4.835263315446706,
        4.835283344405033,
        4.8353028964834,
        4.835322448561767,
        4.835342000640133,
        4.8353615527185,
        4.835381104796867,
        4.835401133755194,
        4.835420685833561,
        4.835440237911927,
        4.835459789990294,
        4.835479342068661,
        4.835498894147027,
        4.835518446225394,
        4.8355384751837205,
        4.8355580272620875,
        4.8355775793404545,
        4.835597131418821,
        4.835616683497188,
        4.835636235575555,
        4.835655787653921,
        4.835675339732288,
        4.835695368690614,
        4.835714920768981,
        4.835734472847348,
        4.8357540249257145,
        4.8357735770040815,
        4.8357931290824485,
        4.835812681160815,
        4.835832233239182,
        4.835851785317549,
        4.835871814275875,
        4.835891366354242,
        4.835910918432608,
        4.835930470510975,
        4.835950022589342,
        4.835969574667709,
        4.8359891267460755,
        4.8360086788244425,
        4.8360282309028095,
        4.836047782981176,
        4.836067335059543,
        4.83608688713791,
        4.836106439216276,
        4.836125991294643,
        4.836146020252969,
        4.836165572331336,
        4.836185124409703,
        4.8362046764880695,
        4.8362242285664365,
        4.8362437806448035,
        4.83626333272317,
        4.836282884801537,
        4.836302436879904,
        4.83632198895827,
        4.836341541036637,
        4.836361093115004,
        4.83638064519337,
        4.836400197271737,
        4.836419749350104,
        4.83643930142847,
        4.836458853506837,
        4.836478405585204,
        4.83649795766357,
        4.836517509741937,
        4.836537061820304,
        4.83655661389867,
        4.836576165977037,
        4.8365957180554044,
        4.836615270133771,
        4.836634822212138,
        4.836654374290505,
        4.836673926368871,
        4.836693478447238,
        4.836713030525605,
        4.836732582603971,
        4.836752134682338,
        4.836771686760705,
        4.836791238839071,
        4.836810790917438,
        4.836830342995805,
        4.836849895074171,
        4.836868970272578,
        4.836888522350945,
        4.836908074429312,
        4.837376370550192,
        4.837395922628559,
        4.837415474706926,
        4.837435026785292,
        4.837454578863659,
        4.837474130942026,
        4.837493206140432,
        4.837512758218799,
        4.837532310297166,
        4.837551862375532,
        4.837571414453899,
        4.837590966532266,
        4.837610518610632,
        4.837629593809039,
        4.837649145887406,
        4.837668697965773,
        4.837688250044139,
        4.837707802122506,
        4.837727354200873,
        4.83774642939928,
        4.837765981477646,
        4.837785533556013,
        4.83780508563438,
        4.837824637712746,
        4.837843712911153,
        4.83786326498952,
        4.837882817067887,
        4.837902369146253,
        4.83792192122462,
        4.837940996423026,
        4.8379605485013935,
        4.83798010057976,
        4.837999652658127,
        4.838019204736494,
        4.8380382799349,
        4.838057832013266,
        4.838077384091633,
        4.83809693617,
        4.838116011368407,
        4.838135563446773,
        4.83815511552514,
        4.838174667603507,
        4.838194219681873,
        4.83821329488028,
        4.838232846958647,
        4.838252399037013,
        4.83827195111538,
        4.838291026313787,
        4.838310578392154,
        4.83833013047052,
        4.838349682548887,
        4.838368757747293,
        4.83838830982566,
        4.8384078619040265,
        4.838426937102433,
        4.8384464891808,
        4.838466041259167,
        4.838485593337533,
        4.83850466853594,
        4.838524220614307,
        4.838543772692674,
        4.8385628478910805,
        4.838582399969447,
        4.838601952047814,
        4.838621504126181,
        4.838640579324587,
        4.838660131402953,
        4.83867968348132,
        4.838698758679727,
        4.838718310758093,
        4.83873786283646,
        4.838756938034867,
        4.838776490113234,
        4.8387960421916,
        4.8388151173900065,
        4.8388346694683735,
        4.8388542215467405,
        4.838873296745147,
        4.838892848823513,
        4.83891240090188,
        4.838931476100287,
        4.838951028178654,
        4.83897058025702,
        4.838989655455427,
        4.839009207533794,
        4.839028759612161,
        4.839047834810566,
        4.839067386888933,
        4.83908646208734,
        4.839106014165707,
        4.839125566244073,
        4.83914464144248,
        4.839164193520847,
        4.839183745599214,
        4.83920282079762,
        4.8392223728759864,
        4.839241448074393,
        4.83926100015276,
        4.839280552231127,
        4.839299627429534,
        4.8393191795079,
        4.839338254706306,
        4.839357806784673,
        4.8393773588630395,
        4.839396434061446,
        4.839415986139813,
        4.83943506133822,
        4.839454613416587,
        4.839474165494953,
        4.8394932406933595,
        4.8395127927717265,
        4.839531867970133,
        4.8395514200485,
        4.839570495246907,
        4.839590047325273,
        4.8396091225236795,
        4.8396286746020465,
        4.8396482266804135,
        4.839667301878819,
        4.839686853957186,
        4.839705929155593,
        4.83972548123396,
        4.8397445564323665,
        4.839764108510733,
        4.839783183709139,
        4.839802735787506,
        4.839821810985913,
        4.83984136306428,
        4.839860438262686,
        4.8398799903410525,
        4.839899065539459,
        4.839918617617826,
        4.839937692816233,
        4.839957244894599,
        4.8399763200930055,
        4.8399958721713725,
        4.840014947369779,
        4.840034499448146,
        4.840053574646553,
        4.840073126724919,
        4.8400922019233255,
        4.8401117540016925,
        4.840130829200099,
        4.840150381278465,
        4.840169456476872,
        4.840189008555239,
        4.840208083753645,
        4.840227635832012,
        4.840246711030419,
        4.840266263108785,
        4.840285338307192,
        4.840304890385559,
        4.840323965583965,
        4.840343040782372,
        4.840362592860738,
        4.840381668059145,
        4.840401220137512,
        4.840420295335918,
        4.840439847414285,
        4.840458922612692,
        4.841440341570709,
        4.841498044045888,
        4.841536671322662,
        4.841555746521069,
        4.841574821719475,
        4.841594373797842,
        4.841613448996249,
        4.841632524194655,
        4.841651599393061,
        4.841671151471428,
        4.841690226669835,
        4.841709301868241,
        4.841728377066648,
        4.841747929145015,
        4.8417670043434216,
        4.841786079541828,
        4.841805154740234,
        4.8418242299386405,
        4.8418437820170075,
        4.841862857215414,
        4.841881932413821,
        4.841901007612227,
        4.841920559690594,
        4.841939634889001,
        4.841958710087407,
        4.841977785285813,
        4.84199686048422,
        4.842016412562587,
        4.8420354877609935,
        4.8420545629594,
        4.842073638157807,
        4.842092713356213,
        4.842112265434579,
        4.842131340632986,
        4.842150415831393,
        4.842169491029799,
        4.842188566228206,
        4.842207641426612,
        4.842227193504979,
        4.842246268703386,
        4.842265343901793,
        4.842284419100199,
        4.842303494298606,
        4.8423225694970125,
        4.842341644695419,
        4.842361196773785,
        4.842380271972192,
        4.842399347170598,
        4.842418422369005,
        4.842437497567412,
        4.842456572765818,
        4.842475647964225,
        4.842495200042592,
        4.8425142752409975,
        4.842533350439404,
        4.842552425637811,
        4.842571500836217,
        4.842590576034624,
        4.8426096512330306,
        4.842628726431437,
        4.842648278509804,
        4.842667353708211,
        4.842686428906617,
        4.845566545426026,
        4.848790969276675,
        4.848812905754842,
        4.84883531911297,
        4.848857732471098,
        4.848879668949265,
        4.848902082307393,
        4.84892449566552,
        4.848946432143689,
        4.848968845501816,
        4.848990781979984,
        4.849013195338111,
        4.849035608696239,
        4.849057545174406,
        4.849079958532534,
        4.849102371890662,
        4.84912430836883,
        4.8491467217269575,
        4.849168658205125,
        4.8491910715632525,
        4.84921348492138,
        4.849235421399547,
        4.849257834757675,
        4.849279771235842,
        4.84930218459397,
        4.849324121072138,
        4.849346534430266,
        4.849368470908433,
        4.849390884266561,
        4.849413297624689,
        4.849435234102856,
        4.849457647460984,
        4.849479583939152,
        4.8495019972972795,
        4.849523933775447,
        4.8495463471335745,
        4.849568283611742,
        4.849590696969869,
        4.849612633448038,
        4.849635046806165,
        4.849656983284333,
        4.84967939664246,
        4.849701333120628,
        4.849723746478755,
        4.8497456829569225,
        4.84976809631505,
        4.849790032793218,
        4.849812446151346,
        4.849834382629513,
        4.849856319107681,
        4.849878732465808,
        4.8499006689439765,
        4.849923082302104,
        4.8499450187802715,
        4.849967432138399,
        4.8499893686165665,
        4.850011781974694,
        4.850033718452862,
        4.85005565493103,
        4.850078068289157,
        4.850100004767325,
        4.850122418125452,
        4.85014435460362,
        4.850166291081788,
        4.8501887044399155,
        4.850210640918083,
        4.85023305427621,
        4.850254990754378,
        4.850276927232546,
        4.850299340590674,
        4.850321277068841,
        4.850343213547008,
        4.850365626905136,
        4.850387563383303,
        4.850409499861471,
        4.850431913219599,
        4.850453849697766,
        4.850475786175934,
        4.850498199534061,
        4.850520136012229,
        4.850542072490397,
        4.850564485848524,
        4.850586422326692,
        4.850608358804859,
        4.8506307721629875,
        4.850652708641155,
        4.850674645119322,
        4.85069705847745,
        4.850718994955617,
        4.850740931433785,
        4.8507628679119525,
        4.85078528127008,
        4.8508072177482475,
        4.850829154226416,
        4.850851090704583,
        4.850873504062711,
        4.850895440540878,
        4.850917377019045,
        4.850939313497213,
        4.850961726855341,
        4.850983663333508,
        4.851005599811676,
        4.851027536289844,
        4.8510499496479715,
        4.851071886126139,
        4.851093822604306,
        4.851115759082473,
        4.851137695560642,
        4.851160108918769,
        4.8511820453969365,
        4.851203981875104,
        4.851225918353272,
        4.851247854831439,
        4.851270268189567,
        4.851292204667734,
        4.8513141411459015,
        4.85133607762407,
        4.851358014102237,
        4.851973666130808,
        4.8519956026089766,
        4.852017539087144,
        4.852039475565311,
        4.852061412043478,
        4.852083348521647,
        4.852105284999814,
        4.852127221477981,
        4.852149157956149,
        4.852171094434317,
        4.852193030912484,
        4.852214967390651,
        4.852236903868819,
        4.852258840346987,
        4.852280776825154,
        4.852302713303322,
        4.852324649781489,
        4.852346586259657,
        4.852368522737824,
        4.852390459215992,
        4.852412395694159,
        4.852434332172327,
        4.852456268650495,
        4.852478205128662,
        4.852500141606829,
        4.852522078084997,
        4.852544014563165,
        4.852565951041332,
        4.852587887519499,
        4.852609823997668,
        4.852631760475835,
        4.852653696954002,
        4.85267515655221,
        4.852697093030377,
        4.8527190295085445,
        4.852740965986713,
        4.85276290246488,
        4.852784838943047,
        4.8528067754212145,
        4.852828711899383,
        4.85285064837755,
        4.852872107975758,
        4.852894044453925,
        4.852915980932092,
        4.85293791741026,
        4.852959853888428,
        4.852981790366595,
        4.853003726844762,
        4.8530256633229305,
        4.853047122921137,
        4.853069059399305,
        4.853090995877473,
        4.85311293235564,
        4.853134868833807,
        4.853156805311976,
        4.8531782649101824,
        4.85320020138835,
        4.853222137866518,
        4.853244074344685,
        4.8532660108228525,
        4.854050955237282,
        4.854094351313657,
        4.8541162877918245,
        4.854137747390032,
        4.8541596838681995,
        4.854181620346368,
        4.854203079944575,
        4.854225016422742,
        4.85424695290091,
        4.854268412499117,
        4.854290348977285,
        4.854311808575492,
        4.854333745053659,
        4.854355681531827,
        4.854377141130034,
        4.854399077608202,
        4.854420537206409,
        4.854442473684577,
        4.854464410162745,
        4.854485869760952,
        4.85450780623912,
        4.854529265837327,
        4.854551202315494,
        4.854572661913702,
        4.854594598391869,
        4.854616534870037,
        4.854637994468244,
        4.854659930946411,
        4.854681390544619,
        4.854703327022786,
        4.854724786620994,
        4.854746723099161,
        4.854768182697369,
        4.8547901191755365,
        4.854811578773743,
        4.8548335152519115,
        4.854854974850118,
        4.854876911328287,
        4.8548983709264935,
        4.854920307404661,
        4.8549417670028685,
        4.854963703481036,
        4.855592231268532,
        4.85561369086674,
        4.855635150464947,
        4.855657086943114,
        4.855678546541322,
        4.855700483019489,
        4.855721942617697,
        4.855743402215904,
        4.855765338694072,
        4.855786798292279,
        4.855808257890486,
        4.855830194368654,
        4.8558516539668615,
        4.855873113565068,
        4.8558950500432365,
        4.855916509641443,
        4.855937969239651,
        4.855959905717818,
        4.855981365316026,
        4.856002824914233,
        4.856024284512441,
        4.856046220990608,
        4.856067680588816,
        4.856089140187023,
        4.85611107666519,
        4.856132536263398,
        4.856153995861605,
        4.856175932339773,
        4.85619739193798,
        4.8562188515361875,
        4.856240311134394,
        4.8562622476125625,
        4.856283707210769,
        4.856305166808977,
        4.856326626407184,
        4.856348562885352,
        4.856370022483559,
        4.856391482081767,
        4.856412941679974,
        4.856434878158142,
        4.856456337756349,
        4.8564777973545565,
        4.856499256952763,
        4.856520716550971,
        4.8565426530291385,
        4.856564112627346,
        4.856585572225553,
        4.856607031823761,
        4.856628968301928,
        4.856650427900136,
        4.856671887498343,
        4.8566933470965505,
        4.856714806694757,
        4.856736266292965,
        4.8567582027711325,
        4.85677966236934,
        4.856801121967547,
        4.856822581565755,
        4.856844041163963,
        4.8568655007621695,
        4.856887437240337,
        4.8569088968385445,
        4.856930356436752,
        4.856951816034959,
        4.856973275633167,
        4.856994735231374,
        4.857016194829582,
        4.857038131307749,
        4.857059590905957,
        4.8570810505041635,
        4.857102510102371,
        4.857123969700578,
        4.857145429298786,
        4.857166888896993,
        4.8571883484952005,
        4.857210284973368,
        4.857231744571576,
        4.8572532041697825,
        4.85727466376799,
        4.857296123366198,
        4.857317582964405,
        4.857339042562613,
        4.8573605021608195,
        4.857381961759027,
        4.857403421357234,
        4.857424880955442,
        4.857446340553649,
        4.8574678001518565,
        4.857489259750064,
        4.857511196228232,
        4.8575326558264385,
        4.857554115424646,
        4.857575575022854,
        4.857597034621061,
        4.857618494219269,
        4.8576399538174755,
        4.857661413415683,
        4.85768287301389,
        4.857704332612098,
        4.857725792210306,
        4.8577472518085125,
        4.85776871140672,
        4.857790171004927,
        4.857811630603135,
        4.857833090201342,
        4.85785454979955,
        4.857876009397756,
        4.857897468995964,
        4.857918928594172,
        4.857940388192379,
        4.857961847790587,
        4.8579833073887935,
        4.858004766987001,
        4.858026226585208,
        4.858047686183416,
        4.858069145781624,
        4.85809012849987,
        4.858111588098078,
        4.858133047696286,
        4.8581545072944925,
        4.8581759668927,
        4.858197426490907,
        4.858218886089115,
        4.858240345687322,
        4.8582618052855295,
        4.858283264883736,
        4.858304724481944,
        4.858326184080152,
        4.858347643678359,
        4.858368626396606,
        4.858390085994814,
        4.858411545593021,
        4.858433005191229,
        4.858454464789435,
        4.858475924387643,
        4.85849738398585,
        4.858518843584058,
        4.858540303182265,
        4.858561285900512,
        4.85858274549872,
        4.858604205096927,
        4.8586256646951345,
        4.858647124293342,
        4.858668583891549,
        4.858690043489757,
        4.85922414904514,
        4.859245131763387,
        4.859266591361595,
        4.859288050959802,
        4.85930951055801,
        4.859330493276257,
        4.859351952874464,
        4.859373412472672,
        4.859394872070879,
        4.859415854789126,
        4.859437314387334,
        4.859458773985541,
        4.859479756703788,
        4.859501216301996,
        4.859522675900203,
        4.85954413549841,
        4.859565118216658,
        4.859586577814865,
        4.859608037413072,
        4.85962902013132,
        4.859650479729527,
        4.859671939327734,
        4.859692922045981,
        4.859714381644189,
        4.859735841242396,
        4.859756823960643,
        4.8597782835588506,
        4.859799743157058,
        4.859820725875305,
        4.8598421854735125,
        4.85986364507172,
        4.859884627789967,
        4.8599060873881745,
        4.859927546986381,
        4.859948529704629,
        4.8599699893028365,
        4.859991448901043,
        4.860012431619291,
        4.8600338912174985,
        4.860054873935746,
        4.860076333533953,
        4.8600977931321605,
        4.860118775850408,
        4.860140235448615,
        4.860161218166862,
        4.86018267776507,
        4.860204137363277,
        4.860225120081524,
        4.860246579679732,
        4.860267562397978,
        4.860289021996186,
        4.860310481594394,
        4.86033146431264,
        4.860352923910848,
        4.860373906629095,
        4.860395366227302,
        4.86041634894555,
        4.860437808543757,
        4.860459268141964,
        4.860480250860212,
        4.860501710458419,
        4.860522693176667,
        4.860544152774874,
        4.860565135493121,
        4.860586595091329,
        4.860607577809575,
        4.860629037407783,
        4.86065002012603,
        4.860671479724237,
        4.8606924624424845,
        4.860713922040692,
        4.86073490475894,
        4.8607563643571465,
        4.860777823955354,
        4.860798806673602,
        4.8608202662718085,
        4.860841248990056,
        4.860862231708303,
        4.86088369130651,
        4.8609046740247575,
        4.860926133622965,
        4.860947116341213,
        4.8609685759394194,
        4.860989558657667,
        4.861011018255875,
        4.861032000974121,
        4.861053460572329,
        4.861074443290576,
        4.861095902888783,
        4.86111688560703,
        4.861138345205238,
        4.8611593279234855,
        4.861180310641732,
        4.86120177023994,
        4.861222752958187,
        4.861244212556394,
        4.861265195274641,
        4.861286654872849,
        4.861307637591096,
        4.861328620309343,
        4.861350079907551,
        4.861371062625798,
        4.861392522224005,
        4.861413504942252,
        4.8614344876605,
        4.861455947258707,
        4.861476929976955,
        4.861498389575162,
        4.861519372293409,
        4.861540355011656,
        4.861561814609863,
        4.8615827973281105,
        4.861603780046358,
        4.861625239644566,
        4.861646222362812,
        4.86166768196102,
        4.861688664679267,
        4.8617096473975145,
        4.861731106995721,
        4.861752089713969,
        4.861773072432216,
        4.861794532030423,
        4.86181551474867,
        4.861836497466918,
        4.8618579570651255,
        4.861878939783373,
        4.861899922501619,
        4.861921382099827,
        4.861942364818074,
        4.861963347536322,
        4.861984807134529,
        4.862005789852776,
        4.862026772571023,
        4.862047755289271,
        4.862069214887478,
        4.862090197605725,
        4.862111180323972,
        4.86213263992218,
        4.8621536226404265,
        4.862174605358674,
        4.862195588076921,
        4.862217047675129,
        4.862238030393375,
        4.862259013111623,
        4.8622804727098305,
        4.862301455428078,
        4.862322438146325,
        4.862343420864572,
        4.8623648804627795,
        4.862849390502306,
        4.862870850100514,
        4.862891832818761,
        4.862912815537007,
        4.862933798255255,
        4.862954780973502,
        4.862975763691749,
        4.862997223289956,
        4.863018206008204,
        4.863039188726451,
        4.863060171444698,
        4.863081154162946,
        4.863102136881193,
        4.8631231195994395,
        4.863144102317687,
        4.863165561915895,
        4.863186544634142,
        4.863207527352389,
        4.863228510070636,
        4.863249492788883,
        4.8632704755071305,
        4.863291458225378,
        4.863312440943625,
        4.863333423661873,
        4.8633548832600795,
        4.863375865978327,
        4.863396848696574,
        4.8634178314148215,
        4.863438814133069,
        4.863459796851315,
        4.863480779569563,
        4.86350176228781,
        4.863522745006057,
        4.863543727724305,
        4.863564710442552,
        4.863585693160799,
        4.863606675879046,
        4.863627658597293,
        4.863649118195501,
        4.8636701009137475,
        4.863691083631995,
        4.863712066350242,
        4.86373304906849,
        4.863754031786737,
        4.863775014504984,
        4.863795997223231,
        4.863816979941478,
        4.8638379626597255,
        4.863858945377973,
        4.86387992809622,
        4.8639009108144675,
        4.863921893532715,
        4.863942876250961,
        4.863963858969209,
        4.863984841687456,
        4.864005824405703,
        4.864026807123951,
        4.864047789842198,
        4.864068772560445,
        4.864089755278692,
        4.864110737996939,
        4.864131720715187,
        4.864152703433434,
        4.864173686151681,
        4.864194668869928,
        4.864215651588175,
        4.8642366343064225,
        4.8642571401447094,
        4.864278122862957,
        4.864299105581204,
        4.8643200882994515,
        4.864341071017699,
        4.864362053735945,
        4.864383036454193,
        4.86440401917244,
        4.864425001890687,
        4.864445984608935,
        4.864466967327182,
        4.8644879500454286,
        4.864508932763676,
        4.864529915481923,
        4.864550898200171,
        4.864571404038458,
        4.864592386756705,
        4.864613369474952,
        4.8646343521932,
        4.864655334911446,
        4.864676317629693,
        4.864697300347941,
        4.864718283066188,
        4.8647392657844355,
        4.864759771622722,
        4.86478075434097,
        4.864801737059217,
        4.864822719777464,
        4.864843702495711,
        4.864864685213958,
        4.864885667932206,
        4.864906173770493,
        4.86492715648874,
        4.864948139206987,
        4.864969121925235,
        4.864990104643481,
        4.8650110873617285,
        4.865032070079976,
        4.865052575918263,
        4.86507355863651,
        4.8650945413547575,
        4.865115524073005,
        4.865136506791252,
        4.865157012629539,
        4.8651779953477865,
        4.865198978066033,
        4.86521996078428,
        4.865240943502528,
        4.865261926220775,
        4.865282432059062,
        4.865303414777309,
        4.865324397495557,
        4.865345380213804,
        4.865365886052091,
        4.865386868770337,
        4.865407851488585,
        4.865428834206832,
        4.8654498169250795,
        4.865470322763366,
        4.865491305481614,
        4.865512288199861,
        4.8655332709181085,
        4.865553776756395,
        4.865574759474643,
        4.865595742192889,
        4.865616724911137,
        4.865637230749424,
        4.865658213467671,
        4.865679196185918,
        4.865700178904166,
        4.865720684742453,
        4.8657416674607,
        4.865762650178947,
        4.865783632897195,
        4.865804138735482,
        4.865825121453729,
        4.865846104171975,
        4.865866610010262,
        4.86588759272851,
        4.865908575446757,
        4.865929081285044,
        4.865950064003291,
        4.865971046721539,
        4.865992029439786,
        4.866012535278073,
        4.86647081691979,
        4.866491322758077,
        4.866512305476324,
        4.866532811314611,
        4.866553794032859,
        4.866574776751106,
        4.866595282589393,
        4.86661626530764,
        4.866636771145927,
        4.866657753864175,
        4.866678736582422,
        4.866699242420709,
        4.866720225138956,
        4.866740730977243,
        4.866761713695491,
        4.8667822195337775,
        4.866803202252025,
        4.866824184970271,
        4.866844690808559,
        4.866865673526806,
        4.8668861793650935,
        4.86690716208334,
        4.866927667921628,
        4.866948650639874,
        4.866969156478161,
        4.8669901391964085,
        4.867011121914656,
        4.867031627752943,
        4.86705261047119,
        4.867073116309477,
        4.8670940990277245,
        4.867114604866011,
        4.867135587584259,
        4.867156093422546,
        4.867177076140793,
        4.86719758197908,
        4.867218564697327,
        4.867239070535614,
        4.867260053253862,
        4.867280559092149,
        4.867301541810396,
        4.867322047648683,
        4.86734303036693,
        4.867363536205217,
        4.867384518923465,
        4.8674050247617515,
        4.867426007479999,
        4.867446513318286,
        4.867467496036533,
        4.86748800187482,
        4.8675089845930675,
        4.867529490431354,
        4.867549996269641,
        4.867570978987889,
        4.867591484826176,
        4.867612467544423,
        4.86763297338271,
        4.867653956100957,
        4.867674461939244,
        4.867695444657492,
        4.8677159504957785,
        4.8677364563340655,
        4.867757439052313,
        4.8677779448906,
        4.867798927608847,
        4.867819433447134,
        4.867840416165381,
        4.867860922003668,
        4.867881427841955,
        4.867902410560203,
        4.86792291639849,
        4.867943899116737,
        4.867964404955024,
        4.867984910793311,
        4.868005893511558,
        4.868026399349845,
        4.8680473820680925,
        4.8680678879063795,
        4.868088393744666,
        4.868109376462914,
        4.868129882301201,
        4.868150388139488,
        4.868171370857735,
        4.868191876696022,
        4.868212859414269,
        4.868233365252556,
        4.868253871090843,
        4.8682748538090905,
        4.8682953596473775,
        4.868315865485664,
        4.868336848203912,
        4.868357354042199,
        4.868377859880486,
        4.868398842598733,
        4.86841934843702,
        4.868439854275307,
        4.868460836993554,
        4.868481342831841,
        4.868501848670128,
        4.8685228313883755,
        4.868543337226662,
        4.868563843064949,
        4.868584825783197,
        4.868605331621484,
        4.868625837459771,
        4.868646343298058,
        4.868667326016305,
        4.868687831854592,
        4.86870833769288,
        4.868729320411126,
        4.868749826249413,
        4.868770332087701,
        4.868790837925988,
        4.868811820644235,
        4.868832326482522,
        4.868852832320809,
        4.868873338159096,
        4.868894320877343,
        4.86891482671563,
        4.868935332553917,
        4.868956315272165,
        4.868976821110452,
        4.8689973269487385,
        4.8690178327870255,
        4.869038338625312,
        4.86905932134356,
        4.869079827181847,
        4.869100333020134,
        4.869120838858421,
        4.869141821576668,
        4.869162327414955,
        4.869182833253243,
        4.86920333909153,
        4.869224321809776,
        4.869244827648064,
        4.869265333486351,
        4.869285839324638,
        4.869306345162925,
        4.869327327881172,
        4.869347833719459,
        4.869368339557746,
        4.869388845396033,
        4.86940935123432,
        4.869429857072607,
        4.869450839790854,
        4.869471345629141,
        4.869491851467428,
        4.869512357305716,
        4.869532863144003,
        4.869553845862249,
        4.869574351700537,
        4.869594857538824,
        4.869615363377111,
        4.869635869215398,
        4.869656375053685,
        4.870067922459307,
        4.870088428297594,
        4.870108934135881,
        4.870129439974168,
        4.870149945812455,
        4.870170451650742,
        4.8701909574890285,
        4.8702114633273155,
        4.870231969165602,
        4.87025247500389,
        4.870272980842177,
        4.8702939635604245,
        4.8703144693987115,
        4.870334975236998,
        4.870355481075285,
        4.870375986913572,
        4.870396492751859,
        4.870416998590146,
        4.870437504428433,
        4.87045801026672,
        4.870478516105008,
        4.870499021943295,
        4.870519527781582,
        4.870540033619869,
        4.870560539458156,
        4.870581045296443,
        4.87060155113473,
        4.8706220569730165,
        4.870642562811304,
        4.870663068649591,
        4.870683574487878,
        4.870704080326165,
        4.870724586164452,
        4.870745092002739,
        4.870765597841026,
        4.870786103679313,
        4.8708066095176,
        4.870827115355888,
        4.870847621194175,
        4.870868127032462,
        4.870888632870749,
        4.8709091387090355,
        4.8709296445473225,
        4.870950150385609,
        4.870970656223896,
        4.870991162062183,
        4.871011667900471,
        4.871032173738758,
        4.871052679577045,
        4.871073185415332,
        4.871093691253619,
        4.871113720211945,
        4.871134226050233,
        4.87115473188852,
        4.871175237726807,
        4.871195743565094,
        4.871216249403381,
        4.871236755241668,
        4.871257261079955,
        4.871277766918242,
        4.87129827275653,
        4.871318778594817,
        4.871339284433104,
        4.8713597902713905,
        4.871379819229717,
        4.871400325068004,
        4.871420830906291,
        4.871441336744579,
        4.871461842582866,
        4.871482348421153,
        4.87150285425944,
        4.871523360097727,
        4.8715438659360135,
        4.871563894894341,
        4.871584400732628,
        4.871604906570915,
        4.871625412409202,
        4.871645918247489,
        4.871666424085776,
        4.871686929924063,
        4.8717074357623495,
        4.871727464720677,
        4.871747970558964,
        4.871768476397251,
        4.871788982235538,
        4.871809488073825,
        4.871829993912112,
        4.871850022870439,
        4.871870528708726,
        4.871891034547013,
        4.8719115403853,
        4.871932046223587,
        4.871952552061874,
        4.871972581020201,
        4.871993086858488,
        4.872013592696775,
        4.872034098535062,
        4.872054604373349,
        4.8720746333316765,
        4.872095139169963,
        4.87211564500825,
        4.872136150846537,
        4.872156656684824,
        4.872176685643151,
        4.872197191481439,
        4.8722176973197255,
        4.8722382031580125,
        4.872258708996299,
        4.872278737954626,
        4.872299243792913,
        4.8723197496312,
        4.872340255469488,
        4.872360284427814,
        4.872380790266101,
        4.872401296104388,
        4.872421801942675,
        4.8724418309010025,
        4.872462336739289,
        4.872482842577576,
        4.872503348415863,
        4.87252337737419,
        4.872543883212478,
        4.872564389050765,
        4.8725848948890516,
        4.872604923847378,
        4.872625429685665,
        4.872645935523952,
        4.87266644136224,
        4.872686470320566,
        4.872706976158853,
        4.87272748199714,
        4.872747510955468,
        4.872768016793755,
        4.8727885226320415,
        4.8728090284703285,
        4.872829057428655,
        4.872849563266942,
        4.87287006910523,
        4.872890098063556,
        4.872910603901843,
        4.87293110974013,
        4.872951138698458,
        4.872971644536745,
        4.8729921503750315,
        4.873012179333358,
        4.873032685171645,
        4.873053191009932,
        4.873073219968259,
        4.873093725806546,
        4.873114231644833,
        4.87313426060316,
        4.873154766441448,
        4.873175272279735,
        4.873195301238061,
        4.873215807076348,
        4.873236312914635,
        4.873256341872962,
        4.873276847711249,
        4.873297353549536,
        4.873317382507863,
        4.8736831494373085,
        4.8737036552755955,
        4.873723684233923,
        4.87374419007221,
        4.873764219030536,
        4.873784724868823,
        4.873804753827151,
        4.873825259665438,
        4.873845765503725,
        4.873865794462051,
        4.873886300300339,
        4.8739063292586655,
        4.8739268350969525,
        4.873946864055279,
        4.873967369893567,
        4.873987398851893,
        4.87400790469018,
        4.874027933648508,
        4.874048439486795,
        4.874068945325082,
        4.874088974283408,
        4.874109480121695,
        4.8741295090800225,
        4.8741500149183095,
        4.874170043876636,
        4.874190549714923,
        4.87421057867325,
        4.874231084511537,
        4.874251113469864,
        4.874271619308151,
        4.874291648266478,
        4.874312154104765,
        4.874332183063092,
        4.874352688901379,
        4.874372717859706,
        4.874393223697993,
        4.8744132526563195,
        4.874433281614647,
        4.874453787452934,
        4.87447381641126,
        4.874494322249547,
        4.874514351207875,
        4.874534857046162,
        4.874554886004488,
        4.874575391842775,
        4.874595420801103,
        4.87461592663939,
        4.874635955597716,
        4.874656461436003,
        4.8746764903943305,
        4.874696519352657,
        4.874717025190944,
        4.874737054149271,
        4.874757559987558,
        4.874777588945885,
        4.874798094784172,
        4.874818123742499,
        4.874838152700826,
        4.874858658539113,
        4.874878687497439,
        4.874899193335727,
        4.874919222294054,
        4.87493925125238,
        4.874959757090667,
        4.8749797860489945,
        4.8750002918872815,
        4.875020320845608,
        4.875040349803935,
        4.875060855642222,
        4.875080884600549,
        4.875101390438836,
        4.875121419397163,
        4.87514144835549,
        4.875161954193777,
        4.875181983152104,
        4.875202012110431,
        4.875222517948718,
        4.875242546907045,
        4.875262575865372,
        4.8752830817036585,
        4.875303110661985,
        4.875323616500273,
        4.875343645458599,
        4.875363674416926,
        4.875384180255213,
        4.87540420921354,
        4.875424238171867,
        4.875444744010154,
        4.875464772968481,
        4.875484801926808,
        4.875505307765095,
        4.875525336723422,
        4.875545365681749,
        4.875565871520036,
        4.875585900478363,
        4.87560592943669,
        4.875625958395016,
        4.875646464233303,
        4.8756664931916305,
        4.875686522149957,
        4.875707027988244,
        4.875727056946571,
        4.875747085904898,
        4.875767591743185,
        4.875787620701512,
        4.875807649659839,
        4.875827678618165,
        4.875848184456453,
        4.87586821341478,
        4.875888242373106,
        4.875908271331434,
        4.875928777169721,
        4.875948806128047,
        4.875968835086375,
        4.8759893409246615,
        4.876009369882988,
        4.8760293988413155,
        4.876049427799642,
        4.876069933637929,
        4.8760899625962555,
        4.876109991554583,
        4.8761300205129094,
        4.876150049471237,
        4.876170555309524,
        4.87619058426785,
        4.876210613226178,
        4.876230642184504,
        4.876251148022791,
        4.876271176981118,
        4.876291205939445,
        4.876311234897772,
        4.876331263856099,
        4.876351769694386,
        4.876371798652713,
        4.876391827611039,
        4.876411856569367,
        4.876431885527693,
        4.87645239136598,
        4.8764724203243075,
        4.876492449282634,
        4.8765124782409615,
        4.876532507199288,
        4.876553013037575,
        4.8765730419959015,
        4.876593070954229,
        4.876613099912555,
        4.876633128870883,
        4.876653157829209,
        4.876673663667496,
        4.876693692625824,
        4.87671372158415,
        4.876733750542477,
        4.876753779500804,
        4.876773808459131,
        4.876794314297418,
        4.876814343255745,
        4.876834372214072,
        4.876854401172398,
        4.876874430130726,
        4.876894459089052,
        4.87691448804738,
        4.876934517005706,
        4.876955022843993,
        4.877316020973837,
        4.877336049932164,
        4.877356078890491,
        4.877376584728778,
        4.877396613687105,
        4.877416642645432,
        4.877436671603759,
        4.877456700562085,
        4.877476729520413,
        4.877496758478739,
        4.877516787437067,
        4.877536816395393,
        4.87755684535372,
        4.877576874312047,
        4.877596903270374,
        4.8776169322287,
        4.877636961187028,
        4.877656990145354,
        4.877677019103682,
        4.877697048062008,
        4.877717077020335,
        4.877737105978662,
        4.877757134936989,
        4.877777163895316,
        4.8777971928536425,
        4.877817221811969,
        4.8778372507702965,
        4.877857279728623,
        4.8778773086869505,
        4.877897337645277,
        4.8779173666036035,
        4.877937395561931,
        4.8779574245202575,
        4.877977453478585,
        4.8779974824369114,
        4.878017511395238,
        4.878037540353565,
        4.878057569311892,
        4.8780775982702185,
        4.878097627228546,
        4.878117656186872,
        4.8781376851452,
        4.878157714103526,
        4.878177743061853,
        4.87819777202018,
        4.878217800978507,
        4.878237829936834,
        4.878257858895161,
        4.878277887853487,
        4.878297439931854,
        4.878317468890181,
        4.878337497848508,
        4.878357526806835,
        4.878377555765162,
        4.878397584723489,
        4.878417613681815,
        4.878437642640143,
        4.878457671598469,
        4.878477700556797,
        4.878497729515123,
        4.87851775847345,
        4.878537310551817,
        4.878557339510143,
        4.878577368468471,
        4.878597397426797,
        4.878617426385125,
        4.878637455343451,
        4.878657484301778,
        4.878677513260105,
        4.878697542218432,
        4.878717094296799,
        4.878737123255125,
        4.878757152213453,
        4.878777181171779,
        4.878797210130106,
        4.878817239088433,
        4.87883726804676,
        4.878857297005087,
        4.878876849083453,
        4.878896878041781,
        4.878916907000107,
        4.878936935958434,
        4.878956964916761,
        4.878976993875088,
        4.878996545953455,
        4.879016574911781,
        4.879036603870109,
        4.879056632828435,
        4.879076661786762,
        4.879096690745089,
        4.879116242823456,
        4.879136271781783,
        4.879156300740109,
        4.879176329698437,
        4.879196358656763,
        4.87921638761509,
        4.879235939693457,
        4.879255968651784,
        4.879275997610111,
        4.879296026568437,
        4.879316055526765,
        4.879335607605131,
        4.879355636563458,
        4.879375665521785,
        4.879395694480112,
        4.879415246558478,
        4.879435275516806,
        4.879455304475132,
        4.879475333433459,
        4.879495362391786,
        4.879514914470152,
        4.87953494342848,
        4.879554972386806,
        4.879575001345134,
        4.8795945534235,
        4.879614582381827,
        4.879634611340154,
        4.879654640298481,
        4.879674192376847,
        4.879694221335175,
        4.879714250293501,
        4.879734279251828,
        4.879753831330195,
        4.8797738602885214,
        4.879793889246849,
        4.879813918205175,
        4.879833470283542,
        4.879853499241869,
        4.879873528200196,
        4.8798930802785625,
        4.87991310923689,
        4.8799331381952165,
        4.879953167153543,
        4.87997271923191,
        4.879992748190237,
        4.880012777148564,
        4.880032329226931,
        4.8800523581852575,
        4.880072387143584,
        4.880091939221951,
        4.880111968180278,
        4.880131997138605,
        4.880151549216972,
        4.880171578175299,
        4.880191607133625,
        4.880211159211992,
        4.880231188170319,
        4.880251217128646,
        4.880270769207012,
        4.88029079816534,
        4.880310827123666,
        4.880330379202033,
        4.88035040816036,
        4.880370437118687,
        4.880389989197053,
        4.880410018155381,
        4.880430047113707,
        4.880449599192074,
        4.880469628150401,
        4.880489657108728,
        4.880509209187094,
        4.880529238145422,
        4.880548790223788,
        4.880568819182115,
        4.880588848140442,
        4.880608400218809,
        4.880628429177135,
        4.880926002272278,
        4.880945554350644,
        4.880965583308972,
        4.880985135387338,
        4.881005164345665,
        4.881025193303992,
        4.881044745382359,
        4.881064774340685,
        4.881084326419052,
        4.881104355377379,
        4.881123907455746,
        4.881143936414072,
        4.881163488492439,
        4.881183517450766,
        4.881203069529133,
        4.881223098487459,
        4.881242650565826,
        4.881262679524154,
        4.88128270848248,
        4.881302260560847,
        4.881322289519174,
        4.881341841597541,
        4.8813618705558675,
        4.8813814226342345,
        4.881401451592561,
        4.881421003670928,
        4.8814410326292546,
        4.881460584707622,
        4.881480613665948,
        4.881500165744315,
        4.881520194702642,
        4.881539746781009,
        4.881559298859376,
        4.881579327817702,
        4.881598879896069,
        4.881618908854396,
        4.881638460932763,
        4.881658489891089,
        4.881678041969456,
        4.881698070927783,
        4.88171762300615,
        4.881737651964476,
        4.881757204042843,
        4.88177723300117,
        4.881796785079537,
        4.881816337157904,
        4.8818363661162305,
        4.8818559181945975,
        4.881875947152924,
        4.881895499231291,
        4.881915528189618,
        4.881935080267985,
        4.881955109226311,
        4.881974661304678,
        4.881994213383045,
        4.882014242341372,
        4.882033794419739,
        4.882053823378065,
        4.882073375456432,
        4.882092927534798,
        4.882112956493126,
        4.882132508571492,
        4.882152537529819,
        4.882172089608186,
        4.8821916416865525,
        4.88221167064488,
        4.882231222723246,
        4.8822512516815735,
        4.88227080375994,
        4.882290355838307,
        4.882310384796633,
        4.882329936875,
        4.882349488953367,
        4.882369517911694,
        4.882389069990061,
        4.882409098948387,
        4.882428651026754,
        4.88244820310512,
        4.882468232063448,
        4.882487784141815,
        4.882507336220181,
        4.882527365178508,
        4.8825469172568745,
        4.8825664693352415,
        4.882586498293568,
        4.882606050371935,
        4.882625602450302,
        4.882645631408629,
        4.882665183486996,
        4.882684735565362,
        4.882704764523689,
        4.882724316602055,
        4.882743868680422,
        4.88276389763875,
        4.882783449717116,
        4.882803001795483,
        4.88282255387385,
        4.882842582832176,
        4.882862134910543,
        4.88288168698891,
        4.882901715947237,
        4.882921268025603,
        4.88294082010397,
        4.882960849062297,
        4.882980401140664,
        4.882999953219031,
        4.883019505297397,
        4.883039534255724,
        4.88305908633409,
        4.883078638412457,
        4.883098190490824,
        4.883118219449151,
        4.883137771527518,
        4.883157323605885,
        4.883176875684251,
        4.8831969046425785,
        4.883216456720945,
        4.883236008799312,
        4.883255560877679,
        4.883275589836005,
        4.883295141914372,
        4.883314693992738,
        4.883334246071105,
        4.883354275029432,
        4.883373827107799,
        4.883393379186166,
        4.883412931264532,
        4.883432483342899,
        4.883452512301226,
        4.883472064379593,
        4.88349161645796,
        4.883511168536326,
        4.883531197494653,
        4.883550749573019,
        4.883570301651386,
        4.883589853729753,
        4.883609405808119,
        4.883629434766447,
        4.883648986844814,
        4.88366853892318,
        4.883688091001547,
        4.883707643079914,
        4.88372719515828,
        4.8837472241166076,
        4.883766776194974,
        4.883786328273341,
        4.883805880351708,
        4.883825432430074,
        4.883844984508441,
        4.883865013466767,
        4.883884565545134,
        4.883904117623501,
        4.8839236697018675,
        4.8839432217802345,
        4.883962773858602,
        4.883982325936968,
        4.884002354895295,
        4.884021906973661,
        4.884041459052028,
        4.884061011130395,
        4.884080563208761,
        4.884100115287128,
        4.884119667365495,
        4.8841392194438615,
        4.884159248402189,
        4.884178800480555,
        4.884198352558922,
        4.884217904637289,
        4.884237456715656,
        4.884257008794022,
        4.884550766849483,
        4.88457031892785,
        4.8845898710062166,
        4.884609423084584,
        4.884628975162951,
        4.884648527241317,
        4.884668079319684,
        4.884687631398051,
        4.884707660356377,
        4.884727212434744,
        4.88474676451311,
        4.884766316591477,
        4.884785868669844,
        4.884805420748211,
        4.884824972826578,
        4.884844524904945,
        4.884864076983311,
        4.884883629061678,
        4.884903181140045,
        4.884922733218411,
        4.884942285296778,
        4.884961837375145,
        4.884981389453511,
        4.885000941531878,
        4.885020493610245,
        4.885040045688611,
        4.885059597766978,
        4.885079149845345,
        4.885098701923711,
        4.885118254002078,
        4.885137806080445,
        4.8851573581588115,
        4.885176433357218,
        4.885195985435585,
        4.885215537513952,
        4.885235089592318,
        4.885254641670685,
        4.885274193749052,
        4.885293745827418,
        4.885313297905785,
        4.885332849984152,
        4.8853524020625185,
        4.8853719541408855,
        4.8853915062192526,
        4.885411058297619,
        4.885430610375986,
        4.885450162454353,
        4.885469714532719,
        4.885489266611086,
        4.8855083418094924,
        4.8855278938878595,
        4.885547445966226,
        4.885566998044593,
        4.88558655012296,
        4.885606102201326,
        4.885625654279693,
        4.88564520635806,
        4.885664758436426,
        4.885684310514793,
        4.8857033857131995,
        4.8857229377915665,
        4.885742489869933,
        4.8857620419483,
        4.885781594026667,
        4.885801146105033,
        4.8858206981834,
        4.885840250261767,
        4.885859325460173,
        4.8858788775385396,
        4.885898429616907,
        4.885917981695274,
        4.88593753377364,
        4.885957085852007,
        4.885976637930374,
        4.8859957131287794,
        4.8860152652071465,
        4.8860348172855135,
        4.88605436936388,
        4.886073921442247,
        4.886093473520614,
        4.88611254871902,
        4.886132100797386,
        4.886151652875753,
        4.88617120495412,
        4.8861907570324865,
        4.8862103091108535,
        4.88622938430926,
        4.886248936387627,
        4.886268488465993,
        4.88628804054436,
        4.886307592622727,
        4.886326667821134,
        4.8863462198995,
        4.886365771977867,
        4.886385324056234,
        4.8864048761346,
        4.886423951333007,
        4.886443503411374,
        4.886463055489741,
        4.886482607568107,
        4.8865016827665135,
        4.8865212348448805,
        4.886540786923248,
        4.886560339001614,
        4.886579891079981,
        4.886598966278387,
        4.886618518356754,
        4.88663807043512,
        4.8869294440907804,
        4.886948519289187,
        4.886968071367554,
        4.886987623445921,
        4.887007175524287,
        4.887026250722694,
        4.887045802801061,
        4.887065354879428,
        4.887084430077834,
        4.887103982156201,
        4.887123534234568,
        4.887142609432974,
        4.88716216151134,
        4.887181713589707,
        4.887200788788114,
        4.887220340866481,
        4.887239892944847,
        4.887258968143254,
        4.887278520221621,
        4.887298072299988,
        4.887317147498394,
        4.88733669957676,
        4.887356251655127,
        4.887375326853534,
        4.887394878931901,
        4.887413954130308,
        4.887433506208674,
        4.887453058287041,
        4.887472133485447,
        4.8874916855638135,
        4.8875112376421805,
        4.887530312840587,
        4.887549864918954,
        4.887568940117361,
        4.887588492195727,
        4.887608044274094,
        4.8876271194725005,
        4.8876466715508675,
        4.887665746749274,
        4.88768529882764,
        4.887704850906007,
        4.887723926104414,
        4.887743478182781,
        4.8877625533811875,
        4.887782105459554,
        4.887801657537921,
        4.887820732736327,
        4.887840284814693,
        4.8878593600131,
        4.887878912091467,
        4.887897987289874,
        4.887917539368241,
        4.887937091446607,
        4.888188407185614,
        4.88820748238402,
        4.888227034462386,
        4.888246109660793,
        4.88826566173916,
        4.888284736937567,
        4.888304289015934,
        4.888323364214339,
        4.888342916292706,
        4.888361991491113,
        4.88838154356948,
        4.888400618767887,
        4.888420170846253,
        4.888439246044659,
        4.888458798123026,
        4.888477873321433,
        4.8884969485198395,
        4.8885165005982065,
        4.888535575796612,
        4.888555127874979,
        4.888574203073386,
        4.888593755151753,
        4.8886128303501595,
        4.888632382428526,
        4.888651457626932,
        4.888671009705299,
        4.888690084903706,
        4.888709636982073,
        4.888728712180479,
        4.888747787378886,
        4.888767339457252,
        4.888786414655659,
        4.888805966734026,
        4.888825041932432,
        4.8888445940107985,
        4.888863669209205,
        4.888882744407612,
        4.888902296485979,
        4.888921371684385,
        4.888940923762752,
        4.888959998961159,
        4.888979074159565,
        4.888998626237932,
        4.889017701436338,
        4.889037253514705,
        4.889056328713112,
        4.8890754039115185,
        4.889094955989885,
        4.889114031188291,
        4.889133106386698,
        4.889152658465065,
        4.8891717336634715,
        4.889191285741838,
        4.889210360940244,
        4.889229436138651,
        4.889248988217018,
        4.889268063415424,
        4.889287138613831,
        4.889306690692198,
        4.889325765890605,
        4.88934484108901,
        4.889364393167377,
        4.889383468365784,
        4.889402543564191,
        4.889422095642558,
        4.889441170840964,
        4.889460246039371,
        4.889479798117737,
        4.8894988733161435,
        4.88951794851455,
        4.889537500592917,
        4.889556575791324,
        4.88957565098973,
        4.8895952030680965,
        4.889614278266503,
        4.88963335346491,
        4.889652905543277,
        4.889671980741683,
        4.88969105594009,
        4.8897101311384965,
        4.8920702100613465,
        4.89481465423209,
        4.894837067590218,
        4.894859480948345,
        4.894881894306473,
        4.894904784544561,
        4.894927197902689,
        4.894949611260817,
        4.894972024618944,
        4.894994437977072,
        4.8950168513352,
        4.895039264693327,
        4.895061678051455,
        4.895084568289543,
        4.895106981647671,
        4.895129395005799,
        4.895151808363926,
        4.895174221722054,
        4.895196635080182,
        4.895219048438309,
        4.895443658899547,
        4.895466072257674,
        4.895488485615802,
        4.89551089897393,
        4.8955333123320575,
        4.895555725690185,
        4.895578139048313,
        4.8956005524064405,
        4.895622965764568,
        4.895645379122696,
        4.895667792480824,
        4.895690205838951,
        4.895712619197079,
        4.895735032555207,
        4.895756969033374,
        4.895779382391502,
        4.895801795749629,
        4.895824209107757,
        4.895846622465885,
        4.8958690358240124,
        4.89589144918214,
        4.895913862540268,
        4.8959362758983955,
        4.895958689256523,
        4.895981102614651,
        4.896003515972779,
        4.896025929330906,
        4.896048342689034,
        4.896070756047162,
        4.89609269252533,
        4.8961151058834576,
        4.896137519241585,
        4.896159932599713,
        4.896182345957841,
        4.896204759315968,
        4.896227172674096,
        4.896249586032224,
        4.896271999390351,
        4.896293935868519,
        4.896316349226646,
        4.896338762584774,
        4.896361175942902,
        4.8963835893010295,
        4.896406002659157,
        4.896427939137324,
        4.896450352495452,
        4.89647276585358,
        4.8964951792117075,
        4.896517592569835,
        4.896540005927963,
        4.896561942406131,
        4.896584355764259,
        4.8966067691223865,
        4.896629182480514,
        4.896651595838642,
        4.896673532316809,
        4.896695945674937,
        4.8967183590330645,
        4.896740772391192,
        4.8967627088693595,
        4.896785122227487,
        4.896807535585615,
        4.896829948943743,
        4.896851885421911,
        4.896874298780038,
        4.896896712138166,
        4.896919125496294,
        4.896941061974461,
        4.896963475332589,
        4.8969858886907165,
        4.897008302048844,
        4.8970302385270115,
        4.897052651885139,
        4.897075065243267,
        4.897097001721435,
        4.897119415079563,
        4.89714182843769,
        4.897164241795818,
        4.897186178273985,
        4.897208591632113,
        4.897231004990241,
        4.897252941468408,
        4.897275354826536,
        4.8972977681846634,
        4.897319704662832,
        4.897342118020959,
        4.897364531379087,
        4.897386467857254,
        4.897408881215382,
        4.89743129457351,
        4.897453231051677,
        4.897475644409805,
        4.897497580887972,
        4.8975199942461005,
        4.897542407604228,
        4.8975643440823955,
        4.897586757440523,
        4.8976086939186905,
        4.897631107276818,
        4.897653520634946,
        4.897675457113113,
        4.897697870471241,
        4.897719806949409,
        4.897742220307537,
        4.897764633665664,
        4.897786570143832,
        4.897808983501959,
        4.897830919980127,
        4.897853333338254,
        4.8978752698164225,
        4.89789768317455,
        4.897920096532678,
        4.897942033010845,
        4.897964446368973,
        4.89798638284714,
        4.898008796205268,
        4.898030732683436,
        4.898053146041564,
        4.898075082519731,
        4.898097495877859,
        4.898119432356026,
        4.898141845714154,
        4.898163782192321,
        4.898186195550449,
        4.898208132028617,
        4.8982305453867445,
        4.898252481864912,
        4.8982748952230395,
        4.898902946130576,
        4.900019322117319,
        4.900041735475447,
        4.900063671953614,
        4.900085608431782,
        4.900107544909949,
        4.900129481388117,
        4.900151417866284,
        4.900173354344452,
        4.90019576770258,
        4.900217704180747,
        4.900239640658914,
        4.9002615771370825,
        4.90028351361525,
        4.900305450093417,
        4.900327386571584,
        4.900349323049753,
        4.90037125952792,
        4.900393196006087,
        4.900415609364215,
        4.900437545842383,
        4.90045948232055,
        4.900481418798718,
        4.900503355276885,
        4.900525291755053,
        4.90054722823322,
        4.900569164711388,
        4.900591101189556,
        4.900613037667723,
        4.90063497414589,
        4.900656910624058,
        4.900678847102226,
        4.900700783580393,
        4.90072272005856,
        4.9007446565367285,
        4.900766593014896,
        4.900788529493063,
        4.90081046597123,
        4.9008324024493986,
        4.900854338927566,
        4.900876275405733,
        4.900898211883901,
        4.900920148362069,
        4.900942084840236,
        4.900964021318403,
        4.900985957796571,
        4.901007894274739,
        4.901029830752906,
        4.901051767231074,
        4.901073703709241,
        4.901095640187409,
        4.901117576665577,
        4.901139513143744,
        4.901161449621911,
        4.901183386100079,
        4.901205322578247,
        4.901227259056414,
        4.901249195534581,
        4.9012711320127496,
        4.901293068490917,
        4.901314528089124,
        4.901336464567292,
        4.901358401045459,
        4.9013803375236265,
        4.901402274001795,
        4.901424210479962,
        4.901446146958129,
        4.9014680834362965,
        4.901490019914465,
        4.901511956392632,
        4.90153341599084,
        4.901555352469007,
        4.901577288947174,
        4.9015992254253415,
        4.90162116190351,
        4.901643098381677,
        4.901665034859844,
        4.901686494458052,
        4.901708430936219,
        4.901730367414387,
        4.901752303892555,
        4.901774240370722,
        4.901796176848889,
        4.9018181133270575,
        4.901839572925264,
        4.901861509403432,
        4.9018834458816,
        4.901905382359767,
        4.901927318837934,
        4.901948778436142,
        4.9019707149143095,
        4.901992651392477,
        4.902014587870645,
        4.902036524348812,
        4.902057983947019,
        4.902079920425187,
        4.9021018569033545,
        4.902123793381522,
        4.90214572985969,
        4.902167189457897,
        4.902189125936064,
        4.902211062414232,
        4.9022329988924,
        4.902254458490607,
        4.902276394968775,
        4.902298331446942,
        4.902320267925109,
        4.902341727523317,
        4.902363664001484,
        4.902385600479652,
        4.902407060077859,
        4.902428996556027,
        4.902450933034195,
        4.902472869512362,
        4.90249432911057,
        4.902516265588737,
        4.902538202066904,
        4.902625471099615,
        4.902646930697822,
        4.902668867175989,
        4.902690803654157,
        4.902712263252364,
        4.902734199730532,
        4.9027561362086995,
        4.902777595806906,
        4.902799532285075,
        4.902821468763242,
        4.90284292836145,
        4.902864864839617,
        4.902886324437824,
        4.902908260915992,
        4.902930197394159,
        4.902951656992367,
        4.902973593470534,
        4.902995529948702,
        4.903016989546909,
        4.903038926025077,
        4.903060385623284,
        4.903082322101452,
        4.903104258579619,
        4.903125718177827,
        4.903147654655994,
        4.903169114254202,
        4.903191050732369,
        4.903212987210536,
        4.903234446808744,
        4.903256383286911,
        4.903277842885119,
        4.903299779363286,
        4.903321715841454,
        4.9033431754396615,
        4.903365111917829,
        4.903386571516036,
        4.903408507994204,
        4.903429967592411,
        4.903451904070579,
        4.903473363668786,
        4.903495300146953,
        4.903516759745161,
        4.903538696223328,
        4.903560155821536,
        4.903582092299703,
        4.90360402877787,
        4.903625488376078,
        4.903647424854245,
        4.903668884452453,
        4.9036908209306205,
        4.903712280528828,
        4.9037342170069955,
        4.903755676605203,
        4.903777613083371,
        4.903799072681577,
        4.903820532279785,
        4.9038424687579525,
        4.90386392835616,
        4.9038858648343275,
        4.903907324432535,
        4.903929260910703,
        4.90395072050891,
        4.903972656987078,
        4.9039941165852845,
        4.904016053063453,
        4.9040375126616595,
        4.904059449139828,
        4.904080908738035,
        4.904102368336242,
        4.90412430481441,
        4.9041457644126165,
        4.904167700890785,
        4.904189160488992,
        4.90421109696716,
        4.904232556565367,
        4.904254016163574,
        4.904275952641742,
        4.904297412239949,
        4.904319348718117,
        4.904340808316324,
        4.904362267914531,
        4.904384204392699,
        4.904405663990906,
        4.904427123589113,
        4.904449060067281,
        4.904470519665488,
        4.9044924561436565,
        4.904513915741863,
        4.904535375340071,
        4.904557311818238,
        4.904578771416446,
        4.904600231014653,
        4.90462216749282,
        4.904643627091028,
        4.904665086689236,
        4.904687023167403,
        4.90470848276561,
        4.904729942363818,
        4.904751878841985,
        4.904773338440193,
        4.9047947980384,
        4.904816734516568,
        4.904838194114775,
        4.9048596537129825,
        4.90488159019115,
        4.9049030497893575,
        4.904924509387564,
        4.904945968985772,
        4.9049679054639395,
        4.904989365062147,
        4.905010824660354,
        4.905032761138521,
        4.905054220736729,
        4.905075680334937,
        4.905097139933144,
        4.905119076411311,
        4.905140536009519,
        4.905161995607727,
        4.9051834552059335,
        4.905205391684101,
        4.9052268512823085,
        4.905248310880516,
        4.905269770478723,
        4.90529170695689,
        4.905313166555098,
        4.905334626153305,
        4.905356085751513,
        4.905377545349721,
        4.905399481827888,
        4.905420941426095,
        4.9054424010243025,
        4.90546386062251,
        4.905485320220717,
        4.905507256698884,
        4.905528716297092,
        4.9055501758953,
        4.905571635493507,
        4.905593095091715,
        4.905615031569882,
        4.90563649116809,
        4.9056579507662965,
        4.905679410364504,
        4.905700869962711,
        4.905722329560919,
        4.905744266039086,
        4.905765725637294,
        4.905787185235501,
        4.905808644833709,
        4.9058301044319155,
        4.905851564030123,
        4.90587302362833,
        4.905894960106498,
        4.905916419704705,
        4.905937879302913,
        4.90595933890112,
        4.9059807984993276,
        4.906002258097535,
        4.906023717695742,
        4.90604517729395,
        4.906067113772117,
        4.906088573370325,
        4.906110032968532,
        4.90613149256674,
        4.9061529521649465,
        4.906174411763154,
        4.906195871361361,
        4.906217330959569,
        4.906238790557776,
        4.9062602501559835,
        4.906281709754191,
        4.906303169352398,
        4.906324628950606,
        4.906346565428773,
        4.906368025026981,
        4.906389484625188,
        4.906410944223396,
        4.9064324038216025,
        4.90645386341981,
        4.906475323018017,
        4.906496782616225,
        4.906518242214433,
        4.9065397018126395,
        4.906561161410847,
        4.906582621009054,
        4.906604080607262,
        4.906625540205469,
        4.906646999803677,
        4.9066684594018835,
        4.906689919000091,
        4.906711378598299,
        4.906732838196506,
        4.906754297794714,
        4.9067757573929205,
        4.906797216991128,
        4.906818676589335,
        4.906840136187543,
        4.906861595785751,
        4.9068830553839575,
        4.906904514982165,
        4.906925974580372,
        4.90694743417858,
        4.906968893776787,
        4.906990353374995,
        4.907011812973201,
        4.907033272571409,
        4.9070542552896566,
        4.907075714887863,
        4.907097174486071,
        4.907118634084279,
        4.907140093682486,
        4.907161553280694,
        4.9071830128789005,
        4.907204472477108,
        4.907225932075315,
        4.907247391673523,
        4.90726885127173,
        4.9072903108699375,
        4.907311293588185,
        4.907332753186392,
        4.9073542127845995,
        4.907375672382807,
        4.907397131981014,
        4.907418591579222,
        4.907440051177429,
        4.9074615107756365,
        4.907482970373843,
        4.907503953092091,
        4.9075254126902985,
        4.907546872288505,
        4.907568331886713,
        4.90758979148492,
        4.907611251083128,
        4.9076327106813356,
        4.907653693399582,
        4.90767515299779,
        4.9076966125959975,
        4.907718072194204,
        4.907739531792412,
        4.907760991390619,
        4.907781974108866,
        4.907803433707074,
        4.907824893305281,
        4.907846352903489,
        4.907867812501696,
        4.907888795219943,
        4.907910254818151,
        4.907931714416358,
        4.907953174014565,
        4.907974633612772,
        4.90799561633102,
        4.908017075929227,
        4.908038535527434,
        4.908059995125642,
        4.90808145472385,
        4.908102437442096,
        4.908123897040304,
        4.908145356638512,
        4.908166816236719,
        4.908187798954966,
        4.908209258553173,
        4.908230718151381,
        4.908529245006443,
        4.908550704604651,
        4.908572164202858,
        4.908593146921105,
        4.908614606519313,
        4.90863606611752,
        4.908657048835767,
        4.908678508433975,
        4.908699968032182,
        4.908720950750429,
        4.908742410348636,
        4.908763869946844,
        4.908784852665091,
        4.908806312263298,
        4.908827771861506,
        4.908848754579753,
        4.90887021417796,
        4.908891673776168,
        4.908912656494415,
        4.908934116092622,
        4.908955098810869,
        4.908976558409077,
        4.908998018007284,
        4.909019000725531,
        4.909040460323739,
        4.909061919921946,
        4.909082902640193,
        4.909104362238401,
        4.9091253449566485,
        4.909146804554855,
        4.909168264153063,
        4.9091892468713105,
        4.909210706469517,
        4.909231689187765,
        4.909253148785972,
        4.909274608384179,
        4.909295591102427,
        4.909317050700634,
        4.909338033418881,
        4.909359493017089,
        4.909380952615296,
        4.909401935333543,
        4.909423394931751,
        4.909444377649998,
        4.909465837248205,
        4.909486819966452,
        4.90950827956466,
        4.9095292622829065,
        4.909550721881114,
        4.909572181479322,
        4.9095931641975685,
        4.909614623795776,
        4.909635606514024,
        4.9096570661122305,
        4.909678048830478,
        4.909699508428686,
        4.909720491146933,
        4.90974195074514,
        4.909762933463387,
        4.909784393061595,
        4.909805375779841,
        4.909826835378049,
        4.909847818096297,
        4.909869277694503,
        4.909890260412751,
        4.9099117200109585,
        4.909932702729206,
        4.909954162327413,
        4.90997514504566,
        4.909996604643868,
        4.910017587362114,
        4.910039046960322,
        4.9100600296785695,
        4.910081489276776,
        4.910102471995024,
        4.910123454713271,
        4.910144914311479,
        4.910165897029725,
        4.910187356627933,
        4.91020833934618,
        4.910229798944387,
        4.910250781662635,
        4.910272241260842,
        4.91029322397909,
        4.910314206697337,
        4.910335666295544,
        4.910356649013791,
        4.910378108611998,
        4.9103990913302455,
        4.910420074048493,
        4.910441533646701,
        4.910462516364948,
        4.910483975963155,
        4.910504958681402,
        4.91052594139965,
        4.9105474009978565,
        4.910568383716104,
        4.910589843314312,
        4.910610826032559,
        4.910631808750805,
        4.910653268349013,
        4.9106742510672605,
        4.910695710665467,
        4.910716693383715,
        4.910737676101962,
        4.91075913570017,
        4.910780118418417,
        4.910801101136664,
        4.9108225607348714,
        4.910843543453119,
        4.910864526171366,
        4.910885985769573,
        4.91090696848782,
        4.910927951206068,
        4.910949410804275,
        4.910970393522522,
        4.910991376240769,
        4.911012835838977,
        4.9110338185572235,
        4.911054801275471,
        4.911076260873679,
        4.911097243591926,
        4.911118226310173,
        4.91113920902842,
        4.911160668626628,
        4.911181651344875,
        4.911202634063122,
        4.911224093661329,
        4.9112450763795765,
        4.911266059097824,
        4.911287041816071,
        4.911308501414278,
        4.9113294841325255,
        4.911350466850773,
        4.911371926448981,
        4.911392909167227,
        4.911413891885474,
        4.911434874603722,
        4.9114563342019295,
        4.911477316920176,
        4.911498299638423,
        4.911519282356671,
        4.911540741954878,
        4.911561724673126,
        4.911582707391372,
        4.91160369010962,
        4.911624672827867,
        4.911646132426075,
        4.911667115144321,
        4.9116880978625685,
        4.911709080580816,
        4.911730540179024,
        4.911751522897271,
        4.9117725056155175,
        4.911793488333765,
        4.911814471052012,
        4.91183593065022,
        4.911856913368466,
        4.911877896086714,
        4.911898878804961,
        4.9119198615232085,
        4.911940844241456,
        4.911962303839663,
        4.91198328655791,
        4.912004269276157,
        4.912025251994405,
        4.912046234712652,
        4.9120672174308995,
        4.912088677029106,
        4.912109659747354,
        4.912130642465601,
        4.912151625183848,
        4.912172607902095,
        4.912193590620342,
        4.91221505021855,
        4.912236032936797,
        4.912257015655045,
        4.912277998373291,
        4.9122989810915385,
        4.912319963809786,
        4.912340946528033,
        4.912361929246281,
        4.912382911964528,
        4.912404371562735,
        4.912425354280982,
        4.9124463369992295,
        4.912467319717477,
        4.912488302435724,
        4.912509285153971,
        4.912530267872218,
        4.912551250590465,
        4.912572233308713,
        4.91259321602696,
        4.912614198745207,
        4.912635658343414,
        4.912656641061662,
        4.912677623779909,
        4.912698606498156,
        4.912719589216403,
        4.91274057193465,
        4.9127615546528975,
        4.912782537371145,
        4.912803520089392,
        4.91282450280764,
        4.912845485525887,
        4.912866468244133,
        4.912887450962381,
        4.912908433680628,
        4.9129294163988755,
        4.912950399117123,
        4.91297138183537,
        4.912992364553617,
        4.913013347271864,
        4.913034329990111,
        4.913055312708359,
        4.913076295426606,
        4.913097278144853,
        4.9131182608631,
        4.913139243581347,
        4.913160226299595,
        4.913181209017842,
        4.913202191736089,
        4.913223174454337,
        4.913244157172583,
        4.9132651398908305,
        4.913286122609078,
        4.913307105327325,
        4.9133280880455725,
        4.91334907076382,
        4.913370053482066,
        4.913391036200314,
        4.913412018918561,
        4.913433001636808,
        4.913453984355056,
        4.913474967073303,
        4.9134959497915505,
        4.913516932509797,
        4.913537915228044,
        4.913558897946292,
        4.913579880664539,
        4.913600863382786,
        4.913621369221073,
        4.913642351939321,
        4.913663334657568,
        4.9136843173758145,
        4.913705300094062,
        4.913726282812309,
        4.9137472655305565,
        4.913768248248804,
        4.913789230967051,
        4.913810213685298,
        4.913831196403545,
        4.913851702241832,
        4.913872684960079,
        4.913893667678327,
        4.913914650396574,
        4.913935633114821,
        4.913956615833069,
        4.913977598551315,
        4.913998581269563,
        4.91401956398781,
        4.914040069826097,
        4.914061052544344,
        4.914082035262592,
        4.914103017980839,
        4.914124000699086,
        4.914144983417333,
        4.91416548925562,
        4.914186471973867,
        4.914207454692114,
        4.914228437410362,
        4.914249420128609,
        4.9142704028468565,
        4.914291385565104,
        4.914311891403391,
        4.914332874121637,
        4.914353856839885,
        4.914374839558132,
        4.914395822276379,
        4.914416328114666,
        4.914437310832914,
        4.914458293551161,
        4.914479276269408,
        4.914500258987655,
        4.914520764825943,
        4.914541747544189,
        4.914562730262436,
        4.914583712980684,
        4.914604695698931,
        4.914625201537218,
        4.914646184255465,
        4.914667166973713,
        4.91468814969196,
        4.914708655530247,
        4.914729638248494,
        4.914750620966741,
        4.914771603684988,
        4.914792109523275,
        4.9148130922415225,
        4.91483407495977,
        4.914855057678017,
        4.914875563516304,
        4.9148965462345515,
        4.914917528952799,
        4.914938511671045,
        4.914959017509333,
        4.91498000022758,
        4.915000982945827,
        4.915021965664074,
        4.915042471502361,
        4.915063454220609,
        4.915084436938856,
        4.915104942777143,
        4.91512592549539,
        4.915146908213638,
        4.915167890931885,
        4.915188396770172,
        4.915209379488418,
        4.915230362206666,
        4.915250868044953,
        4.9152718507632,
        4.915292833481447,
        4.915313339319734,
        4.915334322037982,
        4.915355304756229,
        4.915375810594516,
        4.915396793312763,
        4.915417776031011,
        4.915438281869298,
        4.915459264587545,
        4.915480247305792,
        4.915500753144079,
        4.915521735862326,
        4.915542718580573,
        4.91556322441886,
        4.915584207137107,
        4.915605189855355,
        4.915625695693642,
        4.915646678411889,
        4.915667184250176,
        4.915688166968423,
        4.915709149686671,
        4.915729655524958,
        4.915750638243205,
        4.915771620961452,
        4.915792126799739,
        4.915813109517987,
        4.915833615356274,
        4.915854598074521,
        4.915875580792767,
        4.915896086631055,
        4.915917069349302,
        4.915937575187589,
        4.915958557905836,
        4.915979063744123,
        4.91600004646237,
        4.916021029180618,
        4.916041535018905,
        4.916062517737152,
        4.916083023575439,
        4.916104006293686,
        4.916124512131973,
        4.916145494850221,
        4.916166477568468,
        4.916186983406755,
        4.916207966125002,
        4.916228471963289,
        4.9162494546815365,
        4.9162699605198235,
        4.916290943238071,
        4.916311449076358,
        4.916332431794605,
        4.916352937632892,
        4.916373920351139,
        4.916394426189426,
        4.916415408907674,
        4.91643639162592,
        4.916456897464207,
        4.9164778801824545,
        4.916498386020741,
        4.916519368738989,
        4.916539874577276,
        4.916560857295523,
        4.91658136313381,
        4.916602345852057,
        4.916622851690344,
        4.916643834408592,
        4.916664340246879,
        4.9166848460851655,
        4.916705828803413,
        4.916747317359947,
        4.916767823198234,
        4.9167888059164815,
        4.916809311754768,
        4.916830294473016,
        4.916850800311303,
        4.91687178302955,
        4.916892288867837,
        4.916913271586084,
        4.916933777424371,
        4.916954283262658,
        4.916975265980906,
        4.916995771819193,
        4.91701675453744,
        4.917037260375727,
        4.917058243093974,
        4.917078748932261,
        4.917099254770548,
        4.9171202374887955,
        4.917140743327082,
        4.91716172604533,
        4.917182231883617,
        4.917203214601864,
        4.917223720440151,
        4.917244226278438,
        4.917265208996685,
        4.917285714834972,
        4.91730669755322,
        4.9173272033915065,
        4.9173477092297935,
        4.917368691948041,
        4.917389197786328,
        4.917409703624615,
        4.917430686342862,
        4.917451192181149,
        4.917472174899396,
        4.917492680737683,
        4.91751318657597,
        4.917534169294218,
        4.9175546751325045,
        4.9175751809707915,
        4.917596163689039,
        4.917616669527326,
        4.917637175365613,
        4.91765815808386,
        4.917678663922147,
        4.917699169760435,
        4.917720152478681,
        4.917740658316968,
        4.917761164155256,
        4.917782146873503,
        4.91780265271179,
        4.917823158550077,
        4.917844141268325,
        4.917864647106612,
        4.917885152944899,
        4.917906135663146,
        4.917926641501433,
        4.91794714733972,
        4.917968130057967,
        4.917988635896254,
        4.918009141734541,
        4.918029647572828,
        4.918050630291075,
        4.918071136129362,
        4.918091641967649,
        4.918112624685897,
        4.9181331305241835,
        4.9181536363624705,
        4.918174142200757,
        4.918195124919005,
        4.918215630757292,
        4.918236136595579,
        4.918256642433866,
        4.918277625152113,
        4.9182981309904,
        4.918318636828688,
        4.918339142666975,
        4.918360125385221,
        4.918380631223509,
        4.918401137061796,
        4.918421642900083,
        4.91844262561833,
        4.918463131456617,
        4.918483637294904,
        4.918504143133191,
        4.918524648971478,
        4.918545631689725,
        4.918566137528012,
        4.918586643366299,
        4.918607149204586,
        4.9186281319228335,
        4.9186486377611205,
        4.918669143599407,
        4.918689649437694,
        4.918710155275982,
        4.918731137994229,
        4.9187516438325165,
        4.9187721496708035,
        4.91879265550909,
        4.918813161347377,
        4.918833667185664,
        4.918854649903912,
        4.918875155742199,
        4.9188956615804855,
        4.9189161674187725,
        4.918936673257059,
        4.918957179095346,
        4.918978161813594,
        4.918998667651881,
        4.9190191734901685,
        4.919039679328455,
        4.919060185166742,
        4.919080691005029,
        4.919101196843316,
        4.919122179561564,
        4.919142685399851,
        4.9191631912381375,
        4.9191836970764244,
        4.919204202914711,
        4.919224708752998,
        4.919245214591285,
        4.919265720429573,
        4.91928670314782,
        4.919307208986107,
        4.919327714824394,
        4.919348220662681,
        4.919368726500968,
        4.919389232339255,
        4.919409738177542,
        4.919430244015829,
        4.919450749854116,
        4.919471255692403,
        4.91949223841065,
        4.919512744248937,
        4.919533250087225,
        4.919553755925512,
        4.919574261763799,
        4.919594767602086,
        4.919615273440373,
        4.91963577927866,
        4.919656285116947,
        4.919676790955234,
        4.919697296793521,
        4.9197178026318085,
        4.919738308470095,
        4.919758814308382,
        4.919779320146669,
        4.919799825984956,
        4.919820331823243,
        4.91984083766153,
        4.9198618203797775,
        4.919882326218064,
        4.919902832056351,
        4.919923337894638,
        4.919943843732926,
        4.919964349571213,
        4.9199848554095,
        4.920005361247787,
        4.920025867086074,
        4.920046372924361,
        4.920066878762648,
        4.920087384600935,
        4.920107890439223,
        4.9201283962775095,
        4.9201489021157965,
        4.920169407954083,
        4.92018991379237,
        4.920210419630657,
        4.920230925468944,
        4.920251431307231,
        4.920271937145518,
        4.920292442983806,
        4.9203124719421325,
        4.9203329777804194,
        4.920353483618706,
        4.920373989456993,
        4.92039449529528,
        4.920415001133568,
        4.920435506971855,
        4.920456012810142,
        4.920476518648429,
        4.920497024486716,
        4.920517530325003,
        4.92053803616329,
        4.920558542001577,
        4.920579047839864,
        4.9205995536781515,
        4.920620059516438,
        4.920640565354725,
        4.920661071193012,
        4.920681100151339,
        4.920701605989626,
        4.920722111827914,
        4.920742617666201,
        4.9207631235044875,
        4.9207836293427745,
        4.920804135181061,
        4.920824641019348,
        4.920845146857635,
        4.920865652695922,
        4.92088568165425,
        4.920906187492537,
        4.9209266933308236,
        4.9209471991691105,
        4.920967705007397,
        4.920988210845684,
        4.921008716683971,
        4.921029222522259,
        4.921049251480586,
        4.921069757318873,
        4.92109026315716,
        4.9211107689954465,
        4.9211312748337335,
        4.921151780672021,
        4.921172286510308,
        4.921192315468635,
        4.921212821306922,
        4.921233327145209,
        4.921253832983496,
        4.9212743388217834,
        4.92129484466007,
        4.921314873618397,
        4.921335379456684,
        4.921355885294971,
        4.921376391133258,
        4.921396896971545,
        4.9214174028098325,
        4.921437431768159,
        4.921457937606446,
        4.921478443444733,
        4.92149894928302,
        4.921519455121307,
        4.921539484079634,
        4.921559989917921,
        4.921580495756208,
        4.921601001594495,
        4.921621507432782,
        4.9216415363911095,
        4.921662042229396,
        4.921682548067683,
        4.92170305390597,
        4.921723082864297,
        4.921743588702585,
        4.921764094540872,
        4.9217846003791585,
        4.921804629337485,
        4.921825135175772,
        4.921845641014059,
        4.921866146852347,
        4.921886175810673,
        4.92190668164896,
        4.921927187487247,
        4.921947693325534,
        4.921967722283862,
        4.9219882281221485,
        4.9220087339604355,
        4.922029239798722,
        4.922049268757049,
        4.922069774595337,
        4.922090280433624,
        4.922110786271911,
        4.922130815230237,
        4.922151321068524,
        4.922171826906811,
        4.9221918558651385,
        4.9222123617034255,
        4.922232867541712,
        4.922252896500039,
        4.922273402338326,
        4.922293908176614,
        4.922314414014901,
        4.922334442973227,
        4.922354948811514,
        4.922375454649801,
        4.9223954836081285,
        4.9224159894464155,
        4.922436495284702,
        4.922456524243029,
        4.922477030081316,
        4.922497535919604,
        4.92251756487793,
        4.922538070716217,
        4.922558576554504,
        4.9225786055128316,
        4.9225991113511185,
        4.922619617189405,
        4.922639646147732,
        4.922660151986019,
        4.922680180944346,
        4.922700686782633,
        4.92272119262092,
        4.922741221579247,
        4.922761727417534,
        4.9227822332558215,
        4.922802262214148,
        4.922822768052435,
        4.9228427970107616,
        4.922863302849049,
        4.922883808687336,
        4.922903837645663,
        4.92292434348395,
        4.922944849322237,
        4.922964878280564,
        4.922985384118851,
        4.923005413077178,
        4.923025918915465,
        4.923045947873792,
        4.923066453712079,
        4.923086959550366,
        4.923106988508692,
        4.923127494346979,
        4.923147523305307,
        4.923168029143594,
        4.923188534981881,
        4.923208563940208,
        4.923229069778495,
        4.923249098736822,
        4.9232696045751085,
        4.923289633533436,
        4.923310139371723,
        4.923330168330049,
        4.923350674168336,
        4.923371180006623,
        4.923391208964951,
        4.923411714803238,
        4.923431743761564,
        4.923452249599851,
        4.923472278558179,
        4.9234927843964655,
        4.923512813354792,
        4.923533319193079,
        4.923553348151406,
        4.923573853989693,
        4.92359388294802,
        4.923614388786307,
        4.923634417744634,
        4.923654923582921,
        4.923674952541248,
        4.923695458379535,
        4.923715487337862,
        4.923735993176149,
        4.923756022134476,
        4.9237765279727626,
        4.92379655693109,
        4.923817062769377,
        4.9238370917277035,
        4.92385759756599,
        4.923877626524318,
        4.923898132362605,
        4.923918161320931,
        4.923938667159218,
        4.923958696117546,
        4.923978725075872,
        4.923999230914159,
        4.924019259872487,
        4.9240397657107735,
        4.9240597946691,
        4.924080300507387,
        4.924100329465714,
        4.924120835304001,
        4.924140864262328,
        4.924160893220655,
        4.924181399058942,
        4.924201428017269,
        4.924221933855556,
        4.924241962813883,
        4.92426246865217,
        4.924282497610497,
        4.924302526568823,
        4.924323032407111,
        4.9243430613654375,
        4.9243635672037245,
        4.924383596162052,
        4.924403625120378,
        4.924424130958665,
        4.924444159916992,
        4.92446466575528,
        4.924484694713606,
        4.924504723671933,
        4.92452522951022,
        4.924545258468547,
        4.924565764306834,
        4.924585793265161,
        4.924605822223488,
        4.924626328061775,
        4.924646357020102,
        4.924666385978429,
        4.924686891816716,
        4.9247069207750425,
        4.92472694973337,
        4.924747455571657,
        4.924767484529983,
        4.92478799036827,
        4.924808019326598,
        4.924828048284924,
        4.924848554123211,
        4.924868583081538,
        4.924888612039865,
        4.924909117878152,
        4.924929146836479,
        4.924949175794806,
        4.924969681633093,
        4.9249897105914195,
        4.925009739549747,
        4.9250297685080735,
        4.9250502743463604,
        4.925070303304688,
        4.925090332263014,
        4.925110838101301,
        4.925130867059628,
        4.925150896017955,
        4.925171401856242,
        4.925191430814569,
        4.925211459772896,
        4.925231488731223,
        4.92525199456951,
        4.925272023527837,
        4.925292052486164,
        4.925312558324451,
        4.925332587282778,
        4.9253526162411045,
        4.925372645199431,
        4.925393151037718,
        4.925413179996045,
        4.925433208954372,
        4.925453237912699,
        4.925473743750986,
        4.925493772709313,
        4.925513801667639,
        4.925533830625967,
        4.925554336464254,
        4.92557436542258,
        4.925594394380908,
        4.925614423339234,
        4.925634929177521,
        4.925654958135849,
        4.925674987094175,
        4.925695016052502,
        4.925715045010829,
        4.925735550849116,
        4.925755579807443,
        4.92577560876577,
        4.925795637724097,
        4.9258161435623835,
        4.925836172520711,
        4.9258562014790375,
        4.925876230437364,
        4.925896259395691,
        4.925916288354018,
        4.925936794192305,
        4.925956823150632,
        4.925976852108959,
        4.925996881067286,
        4.926016910025613,
        4.9260374158639,
        4.926057444822226,
        4.926077473780554,
        4.92609750273888,
        4.926117531697208,
        4.926137560655534,
        4.926158066493821,
        4.926178095452148,
        4.926198124410475,
        4.926218153368802,
        4.926238182327129,
        4.926258211285456,
        4.926278240243782,
        4.92629874608207,
        4.9263187750403965,
        4.926338803998723,
        4.9263588329570505,
        4.926378861915377,
        4.926398890873704,
        4.926418919832031,
        4.9264389487903575,
        4.926459454628644,
        4.926479483586972,
        4.926499512545298,
        4.926519541503626,
        4.926539570461952,
        4.926559599420279,
        4.926579628378606,
        4.926599657336933,
        4.92661968629526,
        4.926639715253587,
        4.926660221091874,
        4.9266802500502,
        4.926700279008528,
        4.926720307966854,
        4.926740336925182,
        4.926760365883508,
        4.926780394841835,
        4.926800423800162,
        4.926820452758489,
        4.926840481716816,
        4.926860510675143,
        4.926880539633469,
        4.926900568591797,
        4.926920597550123,
        4.9269406265084505,
        4.9269611323467375,
        4.926981161305064,
        4.927001190263391,
        4.927021219221718,
        4.9270412481800445,
        4.927061277138372,
        4.9270813060966985,
        4.927101335055025,
        4.927121364013352,
        4.927141392971679,
        4.927161421930006,
        4.927181450888333,
        4.9272014798466595,
        4.927221508804987,
        4.927241537763313,
        4.927261566721641,
        4.927281595679967,
        4.927301624638294,
        4.927321653596621,
        4.927341682554948,
        4.927361711513275,
        4.927381740471602,
        4.927401769429928,
        4.927421798388256,
        4.927441827346582,
        4.927461856304909,
        4.927481885263236,
        4.927501914221563,
        4.92752194317989,
        4.927541972138217,
        4.927562001096543,
        4.92758155317491,
        4.927601582133238,
        4.927621611091564,
        4.927641640049891,
        4.927661669008218,
        4.927681697966545,
        4.927701726924871,
        4.927721755883199,
        4.927741784841525,
        4.927761813799853,
        4.927781842758179,
        4.927801871716506,
        4.927821900674833,
        4.92784192963316,
        4.927861958591487,
        4.927881987549814,
        4.927901539628181,
        4.927921568586507,
        4.927941597544834,
        4.927961626503161,
        4.927981655461488,
        4.928001684419815,
        4.928021713378142,
        4.928041742336468,
        4.928061771294796,
        4.928081800253122,
        4.928101352331489,
        4.928121381289816,
        4.928141410248143,
        4.92816143920647,
        4.928181468164796,
        4.928201497123124,
        4.92822152608145,
        4.928241555039778,
        4.928261107118144,
        4.928281136076471,
        4.928301165034798,
        4.928321193993124,
        4.928341222951452,
        4.928361251909778,
        4.928381280868106,
        4.928400832946472,
        4.928420861904799,
        4.928440890863126,
        4.928460919821452,
        4.92848094877978,
        4.928500977738106,
        4.928520529816473,
        4.9285405587748,
        4.928560587733127,
        4.928580616691454,
        4.92860064564978,
        4.928620197728147,
        4.928640226686475,
        4.928660255644801,
        4.928680284603128,
        4.928700313561455,
        4.928719865639821,
        4.928739894598149,
        4.928759923556475,
        4.928779952514803,
        4.928799981473129,
        4.928819533551496,
        4.928839562509823,
        4.928859591468149,
        4.928879620426477,
        4.928899649384803,
        4.92891920146317,
        4.928939230421497,
        4.928959259379824,
        4.928979288338151,
        4.928998840416518,
        4.929018869374844,
        4.929038898333171,
        4.929058927291498,
        4.929078479369865,
        4.929098508328192,
        4.929118537286518,
        4.929138566244846,
        4.929158118323212,
        4.929178147281539,
        4.929198176239866,
        4.929217728318233,
        4.929237757276559,
        4.929257786234887,
        4.929277815193213,
        4.92929736727158,
        4.929317396229907,
        4.929337425188233,
        4.929357454146561,
        4.929377006224928,
        4.929397035183254,
        4.929417064141581,
        4.929436616219948,
        4.929456645178274,
        4.929476674136602,
        4.929496226214968,
        4.929516255173295,
        4.929536284131622,
        4.929555836209989,
        4.9295758651683155,
        4.929595894126643,
        4.929615446205009,
        4.9296354751633364,
        4.929655504121663,
        4.92967505620003,
        4.9296950851583565,
        4.929715114116684,
        4.92973466619505,
        4.9297546951533775,
        4.929774724111704,
        4.929794276190071,
        4.929814305148398,
        4.929834334106724,
        4.929853886185091,
        4.9298739151434186,
        4.929893944101745,
        4.929913496180112,
        4.929933525138439,
        4.929953077216806,
        4.929973106175132,
        4.929993135133459,
        4.930012687211826,
        4.930032716170153,
        4.93005274512848,
        4.930072297206847,
        4.930092326165173,
        4.93011187824354,
        4.930131907201867,
        4.930151936160193,
        4.93017148823856,
        4.930191517196887,
        4.930211069275254,
        4.930231098233581,
        4.930250650311947,
        4.930270679270275,
        4.930290708228601,
        4.930310260306968,
        4.930330289265295,
        4.930349841343662,
        4.9303698703019885,
        4.9303894223803555,
        4.930409451338682,
        4.9304294802970094,
        4.930449032375376,
        4.930469061333703,
        4.930488613412069,
        4.9305086423703965,
        4.930528194448763,
        4.93054822340709,
        4.930567775485456,
        4.930587804443784,
        4.93060735652215,
        4.930627385480477,
        4.930646937558844,
        4.930666966517171,
        4.930686995475497,
        4.930706547553864,
        4.930726576512191,
        4.930746128590558,
        4.930766157548884,
        4.930785709627251,
        4.930805738585579,
        4.930825290663945,
        4.930845319622272,
        4.9308648717006385,
        4.930884900658966,
        4.930904452737332,
        4.9309244816956594,
        4.930944033774026,
        4.930964062732353,
        4.930983614810719,
        4.931003166889086,
        4.931023195847413,
        4.93104274792578,
        4.931062776884107,
        4.931082328962473,
        4.931102357920801,
        4.931121909999167,
        4.931141938957494,
        4.93116149103586,
        4.931181519994188,
        4.931201072072554,
        4.931220624150921,
        4.931240653109247,
        4.931260205187614,
        4.931280234145942,
        4.931299786224308,
        4.931319815182635,
        4.9313393672610015,
        4.9313589193393685,
        4.931378948297695,
        4.931398500376062,
        4.931418529334389,
        4.931438081412756,
        4.931458110371082,
        4.931477662449449,
        4.931497214527816,
        4.931517243486143,
        4.93153679556451,
        4.931556824522836,
        4.931576376601203,
        4.93159592867957,
        4.931615957637897,
        4.931635509716264,
        4.93165506179463,
        4.931675090752957,
        4.9316946428313235,
        4.931714671789651,
        4.931734223868017,
        4.931753775946384,
        4.931773804904711,
        4.931793356983078,
        4.931812909061445,
        4.931832938019771,
        4.931852490098138,
        4.931872042176505,
        4.931892071134832,
        4.931911623213199,
        4.931931652171525,
        4.931951204249892,
        4.931970756328258,
        4.931990785286586,
        4.932010337364952,
        4.932029889443319,
        4.932049441521686,
        4.9320694704800125,
        4.9320890225583796,
        4.932108574636746,
        4.932128603595073,
        4.93214815567344,
        4.932167707751806,
        4.932187736710134,
        4.9322072887885,
        4.932226840866867,
        4.932246869825193,
        4.93226642190356,
        4.932285973981927,
        4.9323055260602935,
        4.932325555018621,
        4.932345107096987,
        4.932364659175354,
        4.932384688133681,
        4.932404240212048,
        4.932423792290415,
        4.932443344368781,
        4.932463373327108,
        4.932482925405474,
        4.932502477483841,
        4.932522029562208,
        4.932542058520535,
        4.932561610598902,
        4.932581162677269,
        4.932600714755635,
        4.932620743713962,
        4.9326402957923285,
        4.932659847870696,
        4.932679399949063,
        4.932699428907389,
        4.932718980985756,
        4.932738533064122,
        4.932758085142489,
        4.932777637220856,
        4.932797666179183,
        4.93281721825755,
        4.932836770335916,
        4.932856322414283,
        4.93287587449265,
        4.9328959034509765,
        4.9329154555293435,
        4.93293500760771,
        4.932954559686077,
        4.932974111764444,
        4.93299414072277,
        4.933013692801137,
        4.933033244879504,
        4.93305279695787,
        4.933072349036237,
        4.933091901114604,
        4.933111930072931,
        4.933131482151298,
        4.933151034229664,
        4.933170586308031,
        4.933190138386398,
        4.933209690464764,
        4.933229719423092,
        4.933249271501458,
        4.933268823579825,
        4.933288375658192,
        4.933307927736558,
        4.933327479814925,
        4.933347031893292,
        4.9333670608516185,
        4.9333866129299855,
        4.933406165008352,
        4.933425717086719,
        4.933445269165086,
        4.933464821243452,
        4.933484373321819,
        4.933503925400186,
        4.933523477478552,
        4.933543506436879,
        4.9335630585152455,
        4.9335826105936125,
        4.9336021626719795,
        4.933621714750346,
        4.933954576962541,
        4.934032785276007,
        4.934052337354374,
        4.934071889432741,
        4.934091441511107,
        4.934110993589474,
        4.934130545667841,
        4.934150097746207,
        4.934169649824574,
        4.934189201902941,
        4.9342087539813075,
        4.9342283060596746,
        4.934247858138042,
        4.934267410216408,
        4.934286962294775,
        4.934306514373142,
        4.934326066451508,
        4.934345618529875,
        4.934365170608242,
        4.934384722686608,
        4.934404274764975,
        4.934423826843342,
        4.934443378921708,
        4.934462931000075,
        4.934482483078442,
        4.934502035156808,
        4.9351067189462965,
        4.9351262710246635,
        4.935165375181397,
        4.935184927259764,
        4.93520447933813,
        4.935224031416497,
        4.935243106614903,
        4.9352626586932695,
        4.9352822107716365,
        4.9353017628500035,
        4.93532131492837,
        4.935340867006737,
        4.935359942205143,
        4.93537949428351,
        4.935399046361876,
        4.935418598440243,
        4.9354381505186105,
        4.935457702596977,
        4.935476777795383,
        4.93549632987375,
        4.935515881952117,
        4.935535434030483,
        4.93555498610885,
        4.935574061307257,
        4.935593613385624,
        4.93561316546399,
        4.935632717542357,
        4.935652269620724,
        4.935671344819131,
        4.935690896897497,
        4.935710448975864,
        4.935730001054231,
        4.9357490762526375,
        4.935768628331004,
        4.935788180409371,
        4.935807732487738,
        4.935827284566104,
        4.93584635976451,
        4.935865911842877,
        4.935885463921244,
        4.9359050159996105,
        4.935924091198017,
        4.935943643276384,
        4.93596319535475,
        4.935982270553157,
        4.936001822631524,
        4.936021374709891,
        4.936040926788257,
        4.936060001986664,
        4.936079554065031,
        4.936099106143398,
        4.936118658221764,
        4.93613773342017,
        4.936157285498537,
        4.938707162645533,
        4.94172342839357,
        4.941745841751698,
        4.941768731989786,
        4.941791622227874,
        4.941814035586002,
        4.941836925824089,
        4.941859816062177,
        4.941882229420305,
        4.941905119658393,
        4.94192753301652,
        4.9419504232546085,
        4.941973313492696,
        4.9419957268508234,
        4.9420186170889115,
        4.942041030447039,
        4.942063920685127,
        4.942086810923215,
        4.942109224281342,
        4.94213211451943,
        4.942154527877558,
        4.942177418115646,
        4.942200308353734,
        4.942222721711862,
        4.942245611949949,
        4.942268025308077,
        4.942290915546165,
        4.942313328904293,
        4.942336219142381,
        4.942358632500508,
        4.9423815227385965,
        4.942403936096724,
        4.9424268263348115,
        4.942449239692939,
        4.942472129931027,
        4.942494543289155,
        4.942517433527243,
        4.942539846885371,
        4.942562737123459,
        4.9425851504815865,
        4.942608040719674,
        4.942630454077801,
        4.9426533443158895,
        4.942675757674017,
        4.942698647912105,
        4.942721061270233,
        4.942743951508321,
        4.942766364866449,
        4.9427887782245765,
        4.942811668462664,
        4.942834081820791,
        4.9428569720588795,
        4.942879385417007,
        4.942902275655095,
        4.942924689013223,
        4.942947102371351,
        4.942969992609439,
        4.9429924059675665,
        4.943015296205654,
        4.943037709563781,
        4.943060122921909,
        4.943083013159997,
        4.943105426518125,
        4.943128316756213,
        4.943150730114341,
        4.943917553090284,
        4.943939966448411,
        4.943962379806539,
        4.943985270044627,
        4.944007683402755,
        4.944030096760883,
        4.94405251011901,
        4.944074923477138,
        4.944097813715226,
        4.944120227073354,
        4.944142640431481,
        4.944165053789609,
        4.944187467147737,
        4.9442098805058645,
        4.944232770743953,
        4.94425518410208,
        4.944277597460208,
        4.944300010818336,
        4.944322424176463,
        4.944344837534591,
        4.944367250892719,
        4.944390141130807,
        4.944412554488935,
        4.944434967847062,
        4.94445738120519,
        4.944479794563318,
        4.944502207921445,
        4.944524621279573,
        4.944547034637701,
        4.944569447995828,
        4.944592338233916,
        4.944614751592043,
        4.944637164950171,
        4.944659578308299,
        4.944681991666426,
        4.944704405024554,
        4.944726818382682,
        4.9447492317408095,
        4.944771645098937,
        4.944794058457065,
        4.944816471815193,
        4.944838885173321,
        4.944861298531449,
        4.9448837118895765,
        4.944906125247704,
        4.944928538605832,
        4.94495095196396,
        4.944973365322087,
        4.944995778680215,
        4.945018192038343,
        4.94504060539647,
        4.945063018754598,
        4.945085432112726,
        4.9451078454708535,
        4.945130258828981,
        4.945152672187109,
        4.9451750855452365,
        4.945197498903364,
        4.945219912261492,
        4.94524232561962,
        4.945264738977747,
        4.945287152335875,
        4.945309565694003,
        4.94533197905213,
        4.945354392410258,
        4.945376805768386,
        4.9453992191265135,
        4.945421632484641,
        4.945444045842769,
        4.945466459200897,
        4.945488872559024,
        4.945511285917152,
        4.945533222395319,
        4.945555635753447,
        4.945578049111575,
        4.945600462469702,
        4.94562287582783,
        4.945645289185958,
        4.945667702544085,
        4.945690115902213,
        4.945712529260341,
        4.9457349426184685,
        4.945756879096636,
        4.945779292454763,
        4.945801705812891,
        4.94582411917102,
        4.945846532529147,
        4.945868945887275,
        4.945891359245403,
        4.94591329572357,
        4.945935709081698,
        4.9459581224398255,
        4.945980535797953,
        4.946002949156081,
        4.946024885634248,
        4.946047298992376,
        4.9460697123505035,
        4.946092125708631,
        4.946114539066759,
        4.946136952424887,
        4.946158888903054,
        4.946181302261182,
        4.94620371561931,
        4.946226128977438,
        4.946248065455605,
        4.946270478813733,
        4.9462928921718605,
        4.946315305529988,
        4.946337718888116,
        4.946359655366283,
        4.946382068724411,
        4.946404482082539,
        4.946426895440666,
        4.9464488319188336,
        4.946471245276961,
        4.946493658635089,
        4.946515595113257,
        4.946538008471385,
        4.9465604218295125,
        4.94658283518764,
        4.9466047716658075,
        4.946627185023935,
        4.946649598382063,
        4.94667153486023,
        4.946693948218358,
        4.9467163615764855,
        4.946738774934613,
        4.946760711412781,
        4.946783124770909,
        4.946805538129037,
        4.946827474607204,
        4.946849887965332,
        4.9468723013234595,
        4.946894237801627,
        4.946916651159754,
        4.946939064517882,
        4.94696100099605,
        4.946983414354178,
        4.947005350832345,
        4.947027764190473,
        4.947050177548601,
        4.947072114026768,
        4.947094527384896,
        4.947116940743023,
        4.9471388772211915,
        4.947161290579319,
        4.9471832270574865,
        4.947205640415614,
        4.947228053773742,
        4.947249990251909,
        4.947272403610037,
        4.947294340088204,
        4.947316753446332,
        4.9473391668044595,
        4.947361103282628,
        4.947383516640755,
        4.947405453118923,
        4.94742786647705,
        4.947449802955218,
        4.947472216313345,
        4.9474941527915135,
        4.947516566149641,
        4.947538979507769,
        4.947560915985936,
        4.947583329344064,
        4.947605265822231,
        4.947627679180359,
        4.947649615658527,
        4.947672029016655,
        4.947693965494822,
        4.94771637885295,
        4.947738315331117,
        4.947760728689245,
        4.947782665167412,
        4.94780507852554,
        4.947827015003708,
        4.9478494283618355,
        4.947871364840003,
        4.9478937781981305,
        4.947915714676298,
        4.9479381280344255,
        4.947960064512594,
        4.947982477870721,
        4.948004414348889,
        4.948026350827056,
        4.948048764185184,
        4.948070700663351,
        4.9480931140214786,
        4.948115050499647,
        4.948137463857774,
        4.948159400335942,
        4.948181813694069,
        4.948203750172237,
        4.948225686650405,
        4.9482481000085325,
        4.9482700364867,
        4.9482924498448275,
        4.948314386322995,
        4.948336322801163,
        4.948358736159291,
        4.948380672637458,
        4.948403085995586,
        4.948425022473753,
        4.94844695895192,
        4.948469372310048,
        4.948491308788216,
        4.948513245266383,
        4.948535658624511,
        4.948557595102678,
        4.9485795315808465,
        4.948601944938974,
        4.9486238814171415,
        4.948646294775269,
        4.9486682312534365,
        4.948690167731604,
        4.948712581089731,
        4.9487345175679,
        4.948756454046067,
        4.948778390524234,
        4.948800803882362,
        4.94882274036053,
        4.948844676838697,
        4.948867090196825,
        4.948889026674992,
        4.94891096315316,
        4.948933376511288,
        4.9489553129894555,
        4.948977249467623,
        4.94899918594579,
        4.949021599303918,
        4.949043535782086,
        4.949065472260253,
        4.949087885618381,
        4.949109822096548,
        4.949131758574716,
        4.949153695052884,
        4.949176108411011,
        4.949198044889179,
        4.949219981367346,
        4.949241917845514,
        4.949263854323681,
        4.949286267681809,
        4.949308204159976,
        4.9493301406381445,
        4.949352077116312,
        4.9493744904744394,
        4.949396426952607,
        4.949418363430774,
        4.949440299908942,
        4.9494622363871095,
        4.949484649745237,
        4.9495065862234044,
        4.949528522701573,
        4.94955045917974,
        4.949572395657907,
        4.949594809016035,
        4.949616745494202,
        4.94963868197237,
        4.949660618450538,
        4.949682554928705,
        4.949704491406873,
        4.94972642788504,
        4.949748841243168,
        4.949770777721335,
        4.949792714199503,
        4.949814650677671,
        4.949836587155838,
        4.949858523634005,
        4.9498804601121735,
        4.949902873470301,
        4.9499248099484685,
        4.949946746426636,
        4.949968682904803,
        4.949990619382971,
        4.9500125558611385,
        4.950034492339306,
        4.950056428817474,
        4.950078365295641,
        4.9501003017738086,
        4.950122715131936,
        4.950144651610104,
        4.950166588088272,
        4.950188524566439,
        4.950210461044606,
        4.950232397522774,
        4.950254334000942,
        4.950276270479109,
        4.950298206957277,
        4.9503201434354445,
        4.950342079913612,
        4.950364016391779,
        4.950385952869947,
        4.9504078893481145,
        4.950429825826282,
        4.95045176230445,
        4.950473698782617,
        4.9504956352607845,
        4.950517571738952,
        4.95053950821712,
        4.950561444695287,
        4.9505833811734545,
        4.950605317651623,
        4.95062725412979,
        4.950649190607957,
        4.950671127086125,
        4.950693063564293,
        4.95071500004246,
        4.950736936520627,
        4.9507588729987955,
        4.950780809476963,
        4.95080274595513,
        4.950824682433297,
        4.9508466189114655,
        4.950868555389633,
        4.9508904918678,
        4.950912428345968,
        4.9509343648241355,
        4.950956301302303,
        4.95097823778047,
        4.951000174258638,
        4.9510221107368055,
        4.951044047214973,
        4.951065506813181,
        4.951087443291348,
        4.951109379769515,
        4.951131316247683,
        4.951153252725851,
        4.951175189204018,
        4.951197125682186,
        4.951219062160353,
        4.951240998638521,
        4.951262935116688,
        4.951284394714896,
        4.951306331193063,
        4.951328267671231,
        4.951350204149398,
        4.951372140627566,
        4.951394077105733,
        4.951416013583901,
        4.951437950062068,
        4.951459409660276,
        4.9514813461384435,
        4.951503282616611,
        4.951525219094778,
        4.951547155572946,
        4.9515690920511135,
        4.951590551649321,
        4.9516124881274886,
        4.951634424605656,
        4.951656361083823,
        4.951678297561991,
        4.951700234040159,
        4.951721693638366,
        4.951743630116534,
        4.951765566594701,
        4.951787503072868,
        4.951809439551036,
        4.951830899149243,
        4.951852835627411,
        4.951874772105579,
        4.951896708583746,
        4.951918168181954,
        4.951940104660121,
        4.951962041138288,
        4.9519839776164565,
        4.952005914094624,
        4.952027373692831,
        4.952049310170999,
        4.952071246649166,
        4.952093183127333,
        4.952114642725541,
        4.952136579203708,
        4.952158515681876,
        4.9521799752800835,
        4.952201911758251,
        4.952223848236418,
        4.952245784714586,
        4.952267244312793,
        4.952289180790961,
        4.9523111172691285,
        4.952332576867335,
        4.952354513345504,
        4.952376449823671,
        4.952398386301838,
        4.952419845900046,
        4.952441782378213,
        4.9524637188563805,
        4.952485178454588,
        4.9525071149327555,
        4.952529051410924,
        4.952550511009131,
        4.952572447487298,
        4.952594383965466,
        4.952615843563673,
        4.952637780041841,
        4.952659716520008,
        4.952681176118215,
        4.952703112596383,
        4.953789445145636,
        4.953810904743844,
        4.953832364342051,
        4.953854300820219,
        4.953875760418426,
        4.953897696896593,
        4.953919156494801,
        4.953941092972968,
        4.953962552571176,
        4.953984489049343,
        4.954005948647551,
        4.954027408245758,
        4.954049344723926,
        4.954070804322133,
        4.9540927408003,
        4.954114200398508,
        4.954135659996715,
        4.954157596474883,
        4.95417905607309,
        4.954200992551258,
        4.954222452149465,
        4.954243911747673,
        4.95426584822584,
        4.954287307824048,
        4.954309244302215,
        4.954330703900422,
        4.95435216349863,
        4.954374099976797,
        4.954395559575005,
        4.95560445027402,
        4.955625909872228,
        4.955647369470435,
        4.955669305948603,
        4.95569076554681,
        4.955712225145017,
        4.955733684743224,
        4.955755144341432,
        4.955776603939639,
        4.955798540417807,
        4.955820000016014,
        4.955841459614222,
        4.955862919212429,
        4.955884378810636,
        4.955905838408844,
        4.955927298007051,
        4.955948757605259,
        4.955970694083426,
        4.955992153681634,
        4.956013613279841,
        4.9560350728780485,
        4.956056532476255,
        4.956077992074463,
        4.95609945167267,
        4.956120911270878,
        4.956142370869085,
        4.956163830467292,
        4.9561852900655,
        4.956207226543667,
        4.956228686141874,
        4.956250145740082,
        4.95627160533829,
        4.956293064936497,
        4.9563145245347044,
        4.956335984132911,
        4.956357443731119,
        4.956378903329326,
        4.956400362927534,
        4.9564218225257415,
        4.956443282123948,
        4.956464741722156,
        4.956486201320363,
        4.956507660918571,
        4.956529120516778,
        4.956550580114985,
        4.956572039713192,
        4.9565934993114,
        4.956614958909608,
        4.956636418507815,
        4.956657878106022,
        4.956679337704229,
        4.956700797302437,
        4.956722256900644,
        4.956743716498852,
        4.9567651760970595,
        4.956786635695266,
        4.956808095293474,
        4.956829554891681,
        4.956851014489889,
        4.956872474088096,
        4.956893933686303,
        4.95691539328451,
        4.956936852882718,
        4.956958312480926,
        4.956979772079133,
        4.95700123167734,
        4.957022691275547,
        4.957044150873755,
        4.957065610471962,
        4.95708707007017,
        4.9571085296683775,
        4.957129989266584,
        4.957151448864792,
        4.957172908462999,
        4.957193891181246,
        4.957215350779454,
        4.957236810377661,
        4.957258269975869,
        4.957279729574076,
        4.957301189172283,
        4.95732264877049,
        4.957344108368698,
        4.957365567966906,
        4.957387027565113,
        4.95740848716332,
        4.957450929479775,
        4.957472389077982,
        4.957493848676189,
        4.957515308274397,
        4.957536767872604,
        4.9575796870690185,
        4.957600669787266,
        4.957622129385474,
        4.9576435889836805,
        4.958430679357932,
        4.959859650158562,
        4.95988110975677,
        4.9599020924750175,
        4.959923552073224,
        4.959944534791472,
        4.959965994389679,
        4.959986977107926,
        4.960008436706134,
        4.960029419424381,
        4.960050879022588,
        4.960071861740835,
        4.960093321339043,
        4.96011430405729,
        4.960135763655497,
        4.960156746373745,
        4.9601782059719515,
        4.960199188690199,
        4.960220648288407,
        4.960241631006654,
        4.960262613724901,
        4.960284073323108,
        4.9603050560413555,
        4.960326515639563,
        4.96034749835781,
        4.9603689579560175,
        4.960389940674265,
        4.960411400272472,
        4.960432382990719,
        4.9604533657089664,
        4.960474825307174,
        4.960495808025421,
        4.960517267623628,
        4.960538250341876,
        4.960559709940083,
        4.96058069265833,
        4.960601675376577,
        4.960623134974785,
        4.960644117693032,
        4.960665577291239,
        4.960686560009487,
        4.960707542727734,
        4.960729002325941,
        4.960749985044188,
        4.960770967762436,
        4.960792427360643,
        4.96081341007889,
        4.960834869677098,
        4.960855852395345,
        4.960876835113592,
        4.960898294711799,
        4.960919277430047,
        4.960940260148294,
        4.960961719746501,
        4.960982702464748,
        4.9610036851829955,
        4.961025144781203,
        4.96104612749945,
        4.961067110217697,
        4.961088569815905,
        4.961109552534152,
        4.9611305352523996,
        4.961151994850606,
        4.961172977568854,
        4.961193960287101,
        4.961215419885308,
        4.961236402603555,
        4.961257385321803,
        4.9612788449200105,
        4.961299827638257,
        4.961320810356504,
        4.961342269954712,
        4.961363252672959,
        4.961384235391207,
        4.961405218109453,
        4.961426677707661,
        4.961447660425908,
        4.961468643144156,
        4.961490102742363,
        4.96151108546061,
        4.961532068178857,
        4.961553050897105,
        4.9615745104953115,
        4.961595493213559,
        4.961616475931806,
        4.961637458650054,
        4.96165891824826,
        4.961679900966508,
        4.961700883684755,
        4.9617218664030025,
        4.961743326001209,
        4.961764308719457,
        4.961785291437704,
        4.961806274155951,
        4.961827733754158,
        4.961848716472406,
        4.961869699190653,
        4.9618906819089,
        4.961911664627148,
        4.961933124225355,
        4.961954106943602,
        4.961975089661849,
        4.961996072380097,
        4.9620175319783035,
        4.962038514696551,
        4.962059497414798,
        4.962080480133046,
        4.962101462851293,
        4.96212244556954,
        4.962143905167747,
        4.9621648878859945,
        4.962185870604242,
        4.962206853322489,
        4.962227836040737,
        4.962248818758983,
        4.962270278357191,
        4.962291261075438,
        4.9623122437936855,
        4.962333226511933,
        4.962354209230179,
        4.962375191948427,
        4.9623966515466345,
        4.962417634264882,
        4.962438616983128,
        4.962459599701376,
        4.962480582419623,
        4.96250156513787,
        4.962522547856118,
        4.962543530574365,
        4.962564990172572,
        4.962585972890819,
        4.962606955609067,
        4.962627938327314,
        4.962648921045561,
        4.962669903763808,
        4.962690886482055,
        4.9627118692003025,
        4.96273285191855,
        4.962754311516757,
        4.962775294235004,
        4.962796276953251,
        4.962817259671499,
        4.962838242389746,
        4.9628592251079935,
        4.962880207826241,
        4.962901190544487,
        4.962922173262735,
        4.962943155980982,
        4.962964138699229,
        4.962985121417477,
        4.963006104135724,
        4.9630270868539705,
        4.963048546452178,
        4.963069529170426,
        4.963090511888673,
        4.9631114946069195,
        4.963132477325167,
        4.963153460043414,
        4.9631744427616615,
        4.963195425479909,
        4.963216408198156,
        4.963237390916404,
        4.96325837363465,
        4.963279356352897,
        4.963300339071145,
        4.963321321789392,
        4.9633423045076395,
        4.963363287225887,
        4.963384269944133,
        4.963405252662381,
        4.963426235380628,
        4.963447218098875,
        4.963468200817123,
        4.96348918353537,
        4.9635101662536165,
        4.963531148971864,
        4.963552131690111,
        4.963573114408359,
        4.963594097126606,
        4.963615079844853,
        4.9636360625631,
        4.963657045281347,
        4.9636780279995945,
        4.963699010717842,
        4.963719993436089,
        4.963740499274376,
        4.9637614819926235,
        4.963782464710871,
        4.963803447429117,
        4.963824430147365,
        4.963845412865612,
        4.963866395583859,
        4.963887378302107,
        4.963908361020354,
        4.9639293437386005,
        4.963950326456848,
        4.963971309175095,
        4.963992291893343,
        4.96401327461159,
        4.964033780449877,
        4.964054763168124,
        4.964075745886372,
        4.964096728604618,
        4.964117711322865,
        4.964138694041113,
        4.96415967675936,
        4.9641806594776074,
        4.964201642195855,
        4.964222148034142,
        4.964243130752389,
        4.964264113470636,
        4.964285096188883,
        4.96430607890713,
        4.964327061625378,
        4.964348044343625,
        4.964369027061872,
        4.964389532900159,
        4.964410515618407,
        4.964431498336653,
        4.9644524810549004,
        4.964473463773148,
        4.964494446491395,
        4.964514952329682,
        4.9645359350479294,
        4.964556917766177,
        4.964577900484424,
        4.964598883202671,
        4.964619865920918,
        4.964640371759205,
        4.964661354477452,
        4.9646823371957,
        4.964703319913947,
        4.964724302632194,
        4.964745285350442,
        4.964765791188729,
        4.964786773906976,
        4.9648077566252224,
        4.96482873934347,
        4.964849722061717,
        4.964870227900004,
        4.9648912106182514,
        4.964912193336499,
        4.964933176054746,
        4.964953681893033,
        4.9649746646112805,
        4.964995647329528,
        4.965016630047774,
        4.965037135886061,
        4.965058118604309,
        4.965079101322556,
        4.965100084040803,
        4.965121066759051,
        4.965141572597338,
        4.965162555315585,
        4.965183538033832,
        4.965204520752079,
        4.965225026590367,
        4.965246009308613,
        4.96526699202686,
        4.965287497865147,
        4.965308480583395,
        4.965329463301642,
        4.965350446019889,
        4.965370951858176,
        4.965391934576424,
        4.965412917294671,
        4.965433423132958,
        4.965454405851205,
        4.965475388569452,
        4.965496371287699,
        4.965516877125986,
        4.9655378598442335,
        4.965558842562481,
        4.965579348400768,
        4.965600331119015,
        4.9656213138372625,
        4.965641819675549,
        4.965662802393797,
        4.965683785112044,
        4.965704290950331,
        4.965725273668578,
        4.965746256386825,
        4.965766762225113,
        4.965787744943359,
        4.9658087276616065,
        4.9658292334998935,
        4.965850216218141,
        4.965871198936388,
        4.965891704774675,
        4.9659126874929225,
        4.96593367021117,
        4.965954176049457,
        4.965975158767704,
        4.965995664605991,
        4.966016647324238,
        4.966037630042486,
        4.966058135880773,
        4.96607911859902,
        4.9661001013172665,
        4.966120607155554,
        4.966141589873801,
        4.966162095712088,
        4.966183078430335,
        4.9662040611485825,
        4.966224566986869,
        4.966245549705117,
        4.966266055543404,
        4.966287038261651,
        4.966308020979898,
        4.966328526818185,
        4.966349509536433,
        4.96637001537472,
        4.966390998092967,
        4.966411503931254,
        4.966432486649501,
        4.966453469367749,
        4.966473975206036,
        4.966494957924283,
        4.96651546376257,
        4.966536446480817,
        4.966556952319104,
        4.966577935037351,
        4.9665984408756385,
        4.966619423593885,
        4.966640406312132,
        4.966660912150419,
        4.966681894868667,
        4.966702400706954,
        4.966723383425201,
        4.966743889263488,
        4.966764871981735,
        4.966785377820022,
        4.9668063605382695,
        4.9668268663765565,
        4.966847849094804,
        4.966868354933091,
        4.966889337651338,
        4.966909843489625,
        4.966930826207872,
        4.966951332046159,
        4.966972314764407,
        4.966992820602694,
        4.967013803320941,
        4.967034309159228,
        4.967055291877475,
        4.967075797715762,
        4.96709678043401,
        4.9671172862722965,
        4.967138268990544,
        4.967158774828831,
        4.967179280667118,
        4.967200263385365,
        4.967220769223652,
        4.967241751941899,
        4.967262257780186,
        4.967283240498434,
        4.967303746336721,
        4.967324729054968,
        4.967345234893255,
        4.967366217611502,
        4.967386723449789,
        4.967407229288076,
        4.967428212006324,
        4.9674487178446105,
        4.967469700562858,
        4.967490206401145,
        4.967511189119392,
        4.967531694957679,
        4.967552200795966,
        4.967573183514213,
        4.9675936893525,
        4.967614672070748,
        4.967635177909035,
        4.967655683747322,
        4.967676666465569,
        4.967697172303856,
        4.967718155022103,
        4.96773866086039,
        4.967759166698677,
        4.9677801494169245,
        4.967800655255211,
        4.967821161093498,
        4.967842143811746,
        4.967862649650033,
        4.96788363236828,
        4.967904138206567,
        4.967924644044854,
        4.967945626763101,
        4.967966132601388,
        4.967986638439675,
        4.9680076211579225,
        4.968028126996209,
        4.968048632834496,
        4.968069615552744,
        4.968090121391031,
        4.968110627229318,
        4.968131609947565,
        4.968152115785852,
        4.968172621624139,
        4.968193604342386,
        4.968214110180673,
        4.96823461601896,
        4.9682555987372075,
        4.968276104575494,
        4.968296610413781,
        4.968317116252069,
        4.968338098970316,
        4.968358604808603,
        4.96837911064689,
        4.968400093365137,
        4.968420599203425,
        4.968441105041712,
        4.968462087759959,
        4.968482593598246,
        4.968503099436533,
        4.96852360527482,
        4.968544587993067,
        4.968565093831354,
        4.968585599669641,
        4.968606105507928,
        4.968627088226175,
        4.968647594064462,
        4.968668099902749,
        4.968688605741036,
        4.968709588459284,
        4.9687300942975705,
        4.9687506001358575,
        4.968771105974144,
        4.968792088692392,
        4.968812594530679,
        4.968833100368966,
        4.9688536062072535,
        4.9688745889255,
        4.968895094763788,
        4.968915600602075,
        4.968936106440362,
        4.968956612278649,
        4.968977594996896,
        4.968998100835183,
        4.96901860667347,
        4.969039112511757,
        4.969060095230004,
        4.969080601068291,
        4.969101106906578,
        4.969121612744865,
        4.969142118583152,
        4.96916262442144,
        4.969183607139686,
        4.969204112977973,
        4.969224618816261,
        4.969245124654548,
        4.969265630492835,
        4.969286613211082,
        4.969307119049369,
        4.969327624887656,
        4.969348130725943,
        4.96936863656423,
        4.969389142402517,
        4.969409648240804,
        4.969430630959051,
        4.969451136797338,
        4.969471642635625,
        4.969492148473913,
        4.9695126543122,
        4.969533160150487,
        4.969553665988774,
        4.969574648707021,
        4.969595154545308,
        4.969615660383595,
        4.969636166221882,
        4.969656672060169,
        4.969677177898456,
        4.969697683736743,
        4.969718189575031,
        4.969739172293277,
        4.969759678131564,
        4.969780183969852,
        4.969800689808139,
        4.969821195646426,
        4.969841701484713,
        4.969862207323,
        4.969882713161287,
        4.9699032189995735,
        4.9699237248378605,
        4.969944230676148,
        4.969965213394395,
        4.969985719232682,
        4.97000622507097,
        4.9700267309092565,
        4.9700472367475435,
        4.97006774258583,
        4.970088248424117,
        4.970108754262404,
        4.970129260100691,
        4.970149765938978,
        4.970170271777266,
        4.970190777615553,
        4.97021128345384,
        4.970231789292127,
        4.970252295130414,
        4.970272800968701,
        4.970293306806988,
        4.970313812645275,
        4.9703343184835616,
        4.970354824321849,
        4.970375330160136,
        4.970395835998423,
        4.97041634183671,
        4.970436847674997,
        4.970457353513284,
        4.970477859351571,
        4.970498365189858,
        4.970518871028145,
        4.970539376866433,
        4.97055988270472,
        4.970580388543007,
        4.970600894381294,
        4.9706214002195805,
        4.9706419060578675,
        4.970662411896154,
        4.970682917734441,
        4.970703423572729,
        4.970723929411016,
        4.970744435249303,
        4.97076494108759,
        4.970785446925877,
        4.970805952764164,
        4.970826458602451,
        4.970846964440738,
        4.970867470279025,
        4.970887976117313,
        4.9709084819555995,
        4.9709289877938865,
        4.970949493632173,
        4.97096999947046,
        4.970990505308747,
        4.971011011147034,
        4.971031040105362,
        4.971051545943649,
        4.971072051781936,
        4.9710925576202225,
        4.9711130634585095,
        4.971133569296796,
        4.971154075135083,
        4.97117458097337,
        4.971195086811658,
        4.971215592649945,
        4.971236098488232,
        4.9712561274465585,
        4.9712766332848455,
        4.971297139123132,
        4.97131764496142,
        4.971338150799707,
        4.971358656637994,
        4.971379162476281,
        4.971399668314568,
        4.971420174152855,
        4.971440203111182,
        4.971460708949469,
        4.971481214787756,
        4.971501720626043,
        4.97152222646433,
        4.971542732302617,
        4.971563238140904,
        4.9715832670992315,
        4.971603772937518,
        4.971624278775805,
        4.971644784614092,
        4.971665290452379,
        4.971685796290666,
        4.971705825248994,
        4.971726331087281,
        4.9717468369255675,
        4.9717673427638545,
        4.971787848602141,
        4.971808354440428,
        4.971828383398756,
        4.971848889237043,
        4.97186939507533,
        4.971889900913617,
        4.9719104067519035,
        4.97193043571023,
        4.971950941548518,
        4.971971447386805,
        4.971991953225092,
        4.972012459063379,
        4.972032488021705,
        4.972052993859992,
        4.972073499698279,
        4.972094005536567,
        4.972114511374854,
        4.9721345403331805,
        4.972155046171467,
        4.972175552009754,
        4.972196057848041,
        4.972216086806369,
        4.972236592644656,
        4.972257098482943,
        4.97227760432123,
        4.972297633279557,
        4.972318139117844,
        4.972338644956131,
        4.972359150794418,
        4.972379179752744,
        4.972399685591031,
        4.972420191429319,
        4.972440697267606,
        4.972460726225933,
        4.9724812320642195,
        4.9725017379025065,
        4.972522243740793,
        4.972542272699121,
        4.972562778537408,
        4.972583284375695,
        4.972603313334021,
        4.972623819172309,
        4.972644325010596,
        4.972664353968923,
        4.9726848598072095,
        4.9727053656454965,
        4.972725871483783,
        4.972745900442111,
        4.972766406280398,
        4.972786912118685,
        4.972806941077011,
        4.972827446915299,
        4.972847952753586,
        4.972867981711913,
        4.9728884875501995,
        4.9729089933884865,
        4.972929022346814,
        4.972949528185101,
        4.972970034023388,
        4.972990062981714,
        4.973010568820001,
        4.973031074658289,
        4.973051103616616,
        4.973071609454903,
        4.9730921152931895,
        4.973112144251517,
        4.973132650089804,
        4.97315267904813,
        4.973173184886417,
        4.973193690724704,
        4.973213719683032,
        4.973234225521319,
        4.973254731359606,
        4.973274760317932,
        4.973295266156219,
        4.9733152951145465,
        4.9733358009528335,
        4.97335630679112,
        4.973376335749447,
        4.973396841587735,
        4.973416870546061,
        4.973437376384348,
        4.973457882222635,
        4.973477911180963,
        4.9734984170192496,
        4.973518445977576,
        4.973538951815863,
        4.97355945765415,
        4.973579486612477,
        4.973599992450764,
        4.973620021409091,
        4.973640527247378,
        4.973660556205705,
        4.973681062043992,
        4.973701091002319,
        4.973721596840606,
        4.973742102678893,
        4.97376213163722,
        4.973782637475507,
        4.9738026664338335,
        4.9738231722721205,
        4.973843201230448,
        4.973863707068735,
        4.973883736027061,
        4.973904241865348,
        4.973924270823676,
        4.973944776661963,
        4.973964805620289,
        4.973985311458576,
        4.974005340416904,
        4.9740258462551905,
        4.974045875213517,
        4.974066381051804,
        4.974086410010131,
        4.974106915848418,
        4.974126944806745,
        4.974147450645033,
        4.974167479603359,
        4.974187985441646,
        4.974208014399973,
        4.974228520238261,
        4.974248549196587,
        4.974269055034874,
        4.974289083993201,
        4.974309589831488,
        4.974329618789815,
        4.974350124628102,
        4.974370153586428,
        4.974390659424716,
        4.974410688383043,
        4.97443119422133,
        4.974451223179656,
        4.974471729017944,
        4.974491757976271,
        4.974511786934597,
        4.974532292772884,
        4.9745523217312115,
        4.9745728275694985,
        4.974592856527825,
        4.974613362366112,
        4.974633391324439,
        4.974653420282766,
        4.974673926121053,
        4.97469395507938,
        4.974714460917667,
        4.974734489875994,
        4.974754995714281,
        4.974775024672608,
        4.974795053630935,
        4.974815559469222,
        4.974835588427549,
        4.974856094265836,
        4.9748761232241625,
        4.97489615218249,
        4.974916658020777,
        4.974936686979103,
        4.97495671593743,
        4.974977221775718,
        4.974997250734044,
        4.975017756572331,
        4.975037785530659,
        4.975057814488985,
        4.975078320327272,
        4.975098349285599,
        4.975118378243926,
        4.975138884082213,
        4.97515891304054,
        4.975178941998867,
        4.975199447837154,
        4.9752194767954805,
        4.975239982633767,
        4.975260011592095,
        4.975280040550421,
        4.975300546388708,
        4.975320575347036,
        4.975340604305362,
        4.975361110143649,
        4.975381139101977,
        4.975401168060303,
        4.97542119701863,
        4.975441702856917,
        4.975461731815244,
        4.975481760773571,
        4.975502266611858,
        4.975522295570185,
        4.9755423245285115,
        4.9755628303667985,
        4.975582859325126,
        4.975602888283452,
        4.975622917241779,
        4.975643423080067,
        4.975663452038393,
        4.97568348099672,
        4.975703986835007,
        4.975724015793334,
        4.975744044751661,
        4.975764073709988,
        4.975784579548275,
        4.975804608506602,
        4.975824637464928,
        4.975844666423256,
        4.975865172261543,
        4.975885201219869,
        4.9759052301781965,
        4.975925259136523,
        4.97594576497481,
        4.975965793933137,
        4.975985822891464,
        4.9760058518497905,
        4.976026357688078,
        4.976046386646405,
        4.976066415604731,
        4.976086444563059,
        4.976106950401346,
        4.976126979359672,
        4.976147008318,
        4.976167037276326,
        4.976187066234653,
        4.976207572072941,
        4.976227601031267,
        4.976247629989594,
        4.976267658947921,
        4.976287687906248,
        4.976308193744535,
        4.976328222702862,
        4.9763482516611885,
        4.976368280619515,
        4.9763883095778425,
        4.9764088154161294,
        4.976428844374456,
        4.976448873332783,
        4.97646890229111,
        4.9764889312494365,
        4.976508960207764,
        4.976529466046051,
        4.976549495004377,
        4.976569523962705,
        4.976589552921031,
        4.976609581879359,
        4.976629610837685,
        4.976649639796012,
        4.976670145634299,
        4.976690174592626,
        4.976710203550953,
        4.97673023250928,
        4.976750261467607,
        4.976770290425933,
        4.976790319384261,
        4.976810348342587,
        4.976830854180874,
        4.9768508831392015,
        4.976870912097528,
        4.976890941055855,
        4.976910970014182,
        4.976951027930836,
        4.977512792523909,
        4.977532821482235,
        4.977552850440563,
        4.977572879398889,
        4.977592908357217,
        4.977612937315543,
        4.97763296627387,
        4.977652995232197,
        4.977673024190524,
        4.977693053148851,
        4.9777130821071776,
        4.977733111065504,
        4.9777531400238315,
        4.977773168982158,
        4.9777931979404855,
        4.977813226898812,
        4.9778332558571385,
        4.977853284815466,
        4.9778733137737925,
        4.97789334273212,
        4.9779133716904465,
        4.977933400648773,
        4.9779534296071,
        4.977973458565427,
        4.977993487523754,
        4.978013516482081,
        4.978033068560448,
        4.9780530975187745,
        4.978073126477101,
        4.978093155435428,
        4.978113184393755,
        4.978133213352082,
        4.978153242310409,
        4.978173271268735,
        4.978193300227063,
        4.978213329185389,
        4.978233358143716,
        4.978253387102043,
        4.97827341606037,
        4.978293445018697,
        4.978312997097063,
        4.978333026055391,
        4.978353055013717,
        4.978373083972045,
        4.978393112930371,
        4.978413141888698,
        4.978433170847025,
        4.978453199805352,
        4.978473228763678,
        4.978492780842045,
        4.978512809800373,
        4.978532838758699,
        4.978552867717026,
        4.978572896675353,
        4.97859292563368,
        4.978612954592006,
        4.978632983550334,
        4.978652535628701,
        4.978672564587027,
        4.978692593545354,
        4.978712622503681,
        4.978732651462008,
        4.978752680420335,
        4.978772709378662,
        4.978792261457029,
        4.978812290415355,
        4.978832319373682,
        4.978852348332009,
        4.978872377290336,
        4.978892406248663,
        4.978911958327029,
        4.978931987285357,
        4.978952016243683,
        4.97897204520201,
        4.978992074160337,
        4.979011626238703,
        4.979031655197031,
        4.979051684155357,
        4.979071713113685,
        4.979091742072011,
        4.979111294150378,
        4.979131323108705,
        4.979151352067031,
        4.979171381025359,
        4.979191409983685,
        4.979210962062052,
        4.979230991020379,
        4.979251019978706,
        4.979271048937033,
        4.9792906010154,
        4.979310629973726,
        4.979330658932054,
        4.97935068789038,
        4.979370239968747,
        4.979390268927074,
        4.9794102978854005,
        4.979430326843728,
        4.979449878922094,
        4.979469907880421,
        4.979489936838748,
        4.979509965797075,
        4.9795295178754415,
        4.979549546833769,
        4.9795695757920955,
        4.979589604750422,
        4.979609156828789,
        4.979629185787116,
        4.979649214745443,
        4.97966876682381,
        4.9796887957821365,
        4.979708824740463,
        4.9797288536987905,
        4.979748405777157,
        4.979768434735484,
        4.979788463693811,
        4.979808015772178,
        4.979828044730504,
        4.9798480736888315,
        4.979867625767198,
        4.979887654725525,
        4.979907683683852,
        4.979927235762219,
        4.979947264720545,
        4.979967293678873,
        4.979986845757239,
        4.980006874715566,
        4.980026903673893,
        4.98004645575226,
        4.980066484710586,
        4.980086513668913,
        4.98010606574728,
        4.980126094705607,
        4.980146123663934,
        4.980165675742301,
        4.980185704700627,
        4.980205733658954,
        4.980225285737321,
        4.980245314695647,
        4.980264866774014,
        4.980284895732342,
        4.980304924690668,
        4.980324476769035,
        4.980344505727362,
        4.980364534685688,
        4.980384086764055,
        4.980404115722382,
        4.980423667800749,
        4.9804436967590755,
        4.980463725717403,
        4.98048327779577,
        4.9805033067540965,
        4.9805228588324635,
        4.98054288779079,
        4.980562439869157,
        4.980582468827484,
        4.98060249778581,
        4.980622049864177,
        4.980642078822504,
        4.980661630900871,
        4.980681659859198,
        4.980701211937564,
        4.980721240895892,
        4.980741269854218,
        4.980760821932585,
        4.980780850890912,
        4.980800402969279,
        4.980820431927605,
        4.980839984005972,
        4.980860012964299,
        4.980879565042666,
        4.980899594000992,
        4.980919146079359,
        4.981651156818211,
        4.981670708896577,
        4.981690737854905,
        4.981710289933271,
        4.981730318891598,
        4.981749870969964,
        4.981769423048331,
        4.981789452006659,
        4.981809004085025,
        4.981829033043352,
        4.9818485851217185,
        4.9818681372000855,
        4.981888166158412,
        4.981907718236779,
        4.981927270315146,
        4.981947299273473,
        4.98196685135184,
        4.981986880310166,
        4.982006432388533,
        4.982025984466899,
        4.982046013425227,
        4.982065565503594,
        4.98208511758196,
        4.982105146540287,
        4.982124698618653,
        4.98214425069702,
        4.982164279655347,
        4.982183831733714,
        4.982203383812081,
        4.9822234127704075,
        4.9822429648487745,
        4.982262516927141,
        4.982282545885468,
        4.982302097963834,
        4.982321650042201,
        4.982341679000528,
        4.982361231078895,
        4.982380783157262,
        4.982400812115588,
        4.982420364193955,
        4.982439916272322,
        4.982459945230649,
        4.982479497309016,
        4.982499049387382,
        4.982518601465749,
        4.9825386304240755,
        4.9825581825024425,
        4.9825777345808095,
        4.982597763539136,
        4.982617315617503,
        4.982636867695869,
        4.982656419774236,
        4.982676448732563,
        4.98269600081093,
        4.982715552889297,
        4.982735104967663,
        4.98275513392599,
        4.982774686004357,
        4.9827942380827235,
        4.9828137901610905,
        4.982833819119417,
        4.982853371197784,
        4.982872923276151,
        4.982892475354517,
        4.982912504312845,
        4.982932056391211,
        4.982951608469578,
        4.982971160547945,
        4.982991189506271,
        4.983010741584638,
        4.983030293663004,
        4.983049845741371,
        4.9830693978197385,
        4.983089426778065,
        4.983108978856432,
        4.983128530934798,
        4.983148083013165,
        4.983167635091532,
        4.983187664049859,
        4.983207216128226,
        4.983226768206593,
        4.983246320284959,
        4.983265872363326,
        4.983285424441693,
        4.983305453400019,
        4.983325005478386,
        4.9833445575567525,
        4.9833641096351196,
        4.983383661713487,
        4.983403213791853,
        4.98342324275018,
        4.983442794828546,
        4.983462346906913,
        4.98348189898528,
        4.983501451063646,
        4.98624732587427,
        4.9895425663990025,
        4.989565456637091,
        4.989588346875179,
        4.989611713993226,
        4.989634604231314,
        4.9896574944694025,
        4.98968038470749,
        4.989703274945578,
        4.989726165183666,
        4.989749055421753,
        4.989771945659841,
        4.98979531277789,
        4.989818203015977,
        4.989841093254065,
        4.989863983492153,
        4.989886873730241,
        4.9899097639683285,
        4.989932654206417,
        4.989955544444505,
        4.989978434682593,
        4.99000132492068,
        4.990024692038729,
        4.990047582276816,
        4.990070472514904,
        4.990093362752992,
        4.99011625299108,
        4.990139143229167,
        4.990162033467255,
        4.9901849237053435,
        4.990207813943432,
        4.990230704181519,
        4.990253594419607,
        4.990276484657695,
        4.990299374895783,
        4.99032226513387,
        4.990345155371958,
        4.9903680456100465,
        4.990390935848134,
        4.990413826086222,
        4.99043671632431,
        4.990459606562398,
        4.990482496800485,
        4.990505387038573,
        4.9905282772766615,
        4.99055116751475,
        4.990574057752837,
        4.990596947990925,
        4.990619838229013,
        4.990642728467101,
        4.990665618705188,
        4.990688508943276,
        4.9907113991813645,
        4.990733812539492,
        4.990756702777579,
        4.9907795930156675,
        4.990802483253756,
        4.990825373491844,
        4.990848263729931,
        4.990871153968019,
        4.990894044206107,
        4.990916934444195,
        4.9909398246822825,
        4.990962714920371,
        4.990985128278498,
        4.991008018516586,
        4.9910309087546745,
        4.991053798992762,
        4.99107668923085,
        4.991099579468938,
        4.991122469707026,
        4.991144883065154,
        4.991167773303241,
        4.991190663541329,
        4.991213553779417,
        4.991236444017504,
        4.991259334255592,
        4.99128174761372,
        4.991304637851808,
        4.991327528089896,
        4.9913504183279835,
        4.991373308566072,
        4.991395721924199,
        4.991418612162287,
        4.9914415024003755,
        4.991464392638463,
        4.991487282876551,
        4.9915096962346786,
        4.991532586472767,
        4.991555476710855,
        4.991578366948942,
        4.99160078030707,
        4.991623670545158,
        4.991646560783246,
        4.991669451021334,
        4.991691864379462,
        4.991714754617549,
        4.991737644855637,
        4.991760535093725,
        4.991782948451853,
        4.99180583868994,
        4.991828728928028,
        4.991851619166116,
        4.991874032524244,
        4.991896922762332,
        4.991919813000419,
        4.991942226358547,
        4.991965116596635,
        4.991988006834723,
        4.992010420192851,
        4.992033310430939,
        4.992056200669026,
        4.992078614027154,
        4.992101504265242,
        4.99212439450333,
        4.992146807861458,
        4.992169698099546,
        4.992192588337633,
        4.992215001695761,
        4.992237891933849,
        4.992260782171937,
        4.992283195530065,
        4.992306085768153,
        4.99232849912628,
        4.992351389364368,
        4.992374279602456,
        4.992396692960583,
        4.9924195831986715,
        4.992441996556799,
        4.992464886794887,
        4.9924877770329745,
        4.992510190391102,
        4.99253308062919,
        4.992555493987318,
        4.992578384225406,
        4.992601274463493,
        4.992623687821621,
        4.992646578059709,
        4.992668991417837,
        4.992691881655925,
        4.992714295014053,
        4.992737185252141,
        4.992759598610268,
        4.992782488848356,
        4.992804902206483,
        4.992827792444571,
        4.9928506826826595,
        4.992873096040787,
        4.992895986278875,
        4.992918399637003,
        4.99294128987509,
        4.992963703233218,
        4.992986593471306,
        4.993009006829434,
        4.993031897067522,
        4.9930543104256495,
        4.993076723783777,
        4.993099614021865,
        4.993122027379993,
        4.99314491761808,
        4.993167330976208,
        4.993190221214296,
        4.993212634572424,
        4.993235524810512,
        4.9932579381686395,
        4.993280828406728,
        4.993303241764855,
        4.993325655122983,
        4.99334854536107,
        4.993370958719198,
        4.993393848957286,
        4.993416262315414,
        4.993439152553502,
        4.9934615659116295,
        4.993483979269757,
        4.993506869507845,
        4.993529282865973,
        4.99355217310406,
        4.993574586462188,
        4.993596999820316,
        4.993619890058404,
        4.993642303416531,
        4.993664716774659,
        4.993687607012747,
        4.993710020370875,
        4.9937324337290026,
        4.993755323967091,
        4.993777737325218,
        4.993800150683346,
        4.993823040921433,
        4.993845454279561,
        4.993867867637689,
        4.993890757875777,
        4.993913171233904,
        4.993935584592032,
        4.99395847483012,
        4.993980888188248,
        4.994003301546376,
        4.994026191784464,
        4.994048605142591,
        4.994071018500719,
        4.994093908738806,
        4.994116322096934,
        4.994138735455062,
        4.994161148813189,
        4.9941840390512775,
        4.994206452409405,
        4.994228865767533,
        4.994251279125661,
        4.994274169363749,
        4.994296582721876,
        4.994318996080004,
        4.994341409438132,
        4.99436429967622,
        4.994386713034348,
        4.994409126392475,
        4.994431539750603,
        4.99445442998869,
        4.994476843346818,
        4.9944992567049455,
        4.994521670063073,
        4.994544083421201,
        4.994566973659289,
        4.994589387017417,
        4.994611800375544,
        4.994634213733672,
        4.9946566270918,
        4.994679517329888,
        4.994701930688016,
        4.994724344046143,
        4.994746757404271,
        4.994769170762399,
        4.994791584120526,
        4.9948144743586145,
        4.994836887716742,
        4.99485930107487,
        4.9948817144329976,
        4.994904127791125,
        4.994926541149253,
        4.994948954507381,
        4.994971367865508,
        4.994994258103596,
        4.995016671461724,
        4.995039084819852,
        4.9950614981779795,
        4.995083911536107,
        4.995106324894235,
        4.995128738252363,
        4.99515115161049,
        4.995173564968618,
        4.995195978326746,
        4.995218868564833,
        4.995241281922961,
        4.995263695281088,
        4.995286108639216,
        4.995308521997344,
        4.995330935355471,
        4.995353348713599,
        4.995375762071727,
        4.995398175429854,
        4.995420588787983,
        4.995443002146111,
        4.995465415504238,
        4.995487828862366,
        4.995510242220494,
        4.9955326555786215,
        4.995555068936749,
        4.995577482294877,
        4.9955998956530046,
        4.995622309011132,
        4.99564472236926,
        4.995667135727388,
        4.995689549085515,
        4.995711962443643,
        4.995734375801771,
        4.995756789159898,
        4.995779202518026,
        4.995801615876154,
        4.9958240292342815,
        4.995846442592409,
        4.995868855950537,
        4.995891269308665,
        4.995913682666792,
        4.99593609602492,
        4.995958509383048,
        4.995980922741175,
        4.996003336099303,
        4.996025749457431,
        4.996048162815558,
        4.996070576173686,
        4.996092512651853,
        4.996114926009981,
        4.996137339368109,
        4.9961597527262365,
        4.996182166084364,
        4.996204579442492,
        4.9962269928006195,
        4.996249406158747,
        4.996271819516875,
        4.996294232875003,
        4.99631616935317,
        4.996338582711298,
        4.996360996069425,
        4.996383409427553,
        4.996405822785682,
        4.996428236143809,
        4.996450649501937,
        4.996473062860065,
        4.996494999338232,
        4.99651741269636,
        4.996539826054487,
        4.996562239412615,
        4.996584652770743,
        4.99660706612887,
        4.996629002607038,
        4.996651415965165,
        4.996673829323293,
        4.996696242681421,
        4.9967186560395485,
        4.996740592517716,
        4.996763005875843,
        4.996785419233972,
        4.9968078325921,
        4.996830245950227,
        4.996852182428395,
        4.996874595786522,
        4.99689700914465,
        4.996919422502778,
        4.9969418358609055,
        4.996963772339073,
        4.9969861856972,
        4.997008599055328,
        4.997031012413456,
        4.997052948891623,
        4.997075362249751,
        4.9970977756078785,
        4.997120188966006,
        4.997142125444174,
        4.997164538802302,
        4.99718695216043,
        4.997208888638597,
        4.997231301996725,
        4.997253715354852,
        4.99727612871298,
        4.997298065191147,
        4.997320478549275,
        4.997342891907403,
        4.997364828385571,
        4.997387241743699,
        4.997409655101826,
        4.997431591579994,
        4.997454004938121,
        4.997476418296249,
        4.997498831654377,
        4.997520768132544,
        4.997543181490672,
        4.997565594848799,
        4.9975875313269675,
        4.997609944685095,
        4.9976318811632625,
        4.99765429452139,
        4.997676707879518,
        4.997698644357685,
        4.997721057715813,
        4.997743471073941,
        4.997765407552109,
        4.997787820910236,
        4.997810234268364,
        4.997832170746531,
        4.997854584104659,
        4.997876520582826,
        4.997898933940954,
        4.997921347299082,
        4.997943283777249,
        4.997965697135377,
        4.997987633613545,
        4.998010046971673,
        4.99803198344984,
        4.998054396807968,
        4.998076810166095,
        4.998098746644263,
        4.99812116000239,
        4.998143096480558,
        4.998165509838686,
        4.998187446316853,
        4.998209859674981,
        4.998232273033109,
        4.998254209511276,
        4.998276622869404,
        4.998298559347572,
        4.9983209727057,
        4.998342909183867,
        4.998365322541995,
        4.998387259020162,
        4.99840967237829,
        4.998431608856457,
        4.998454022214585,
        4.998475958692753,
        4.99849837205088,
        4.998520308529048,
        4.998542721887175,
        4.998564658365343,
        4.99858707172347,
        4.998609008201639,
        4.998631421559766,
        4.9986533580379335,
        4.998675771396061,
        4.9986977078742285,
        4.998720121232356,
        4.998742057710524,
        4.998763994188692,
        4.998786407546819,
        4.998808344024987,
        4.998830757383114,
        4.998852693861282,
        4.998875107219409,
        4.9988970436975775,
        4.998918980175745,
        4.9989413935338725,
        4.99896333001204,
        4.998985743370167,
        4.999007679848336,
        4.999030093206463,
        4.999052029684631,
        4.999073966162798,
        4.999096379520926,
        4.999118315999093,
        4.9991407293572205,
        4.999162665835389,
        4.999184602313556,
        4.999207015671684,
        4.999228952149851,
        4.999250888628019,
        4.999273301986147,
        4.999295238464314,
        4.999317651822442,
        4.999339588300609,
        4.999361524778777,
        4.999383938136905,
        4.999405874615072,
        4.9994278110932395,
        4.999450224451367,
        4.9994721609295345,
        4.999494097407703,
        4.99951651076583,
        4.999538447243998,
        4.999560383722165,
        4.999582797080293,
        4.999604733558461,
        4.999626670036628,
        4.999648606514795,
        4.999671019872923,
        4.99969295635109,
        4.9997148928292585,
        4.999737306187386,
        4.9997592426655535,
        4.999781179143721,
        4.999803115621889,
        4.999825528980017,
        4.999847465458184,
        4.999869401936351,
        4.999891815294479,
        4.999913751772646,
        4.999935688250814,
        4.999957624728982,
        4.999980038087109,
        5.000001974565277,
        5.000023911043445,
        5.000045847521612,
        5.000067783999779,
        5.000090197357907,
        5.000112133836074,
        5.0001340703142425,
        5.00015600679241,
        5.0001784201505375,
        5.000200356628705,
        5.000222293106873,
        5.00024422958504,
        5.0002661660632075,
        5.000288579421335,
        5.000310515899503,
        5.000332452377671,
        5.000354388855838,
        5.000376325334005,
        5.000398738692133,
        5.000420675170301,
        5.000442611648468,
        5.000464548126636,
        5.000486484604804,
        5.000508421082971,
        5.000530357561138,
        5.000552770919266,
        5.000574707397433,
        5.0005966438756015,
        5.000618580353769,
        5.000640516831936,
        5.000662453310104,
        5.000684389788272,
        5.000706803146399,
        5.0007287396245665,
        5.000750676102734,
        5.000772612580902,
        5.000794549059069,
        5.000816485537237,
        5.000838422015405,
        5.000860358493572,
        5.000882294971739,
        5.000904708329867,
        5.000926644808034,
        5.0009485812862025,
        5.00097051776437,
        5.000992454242537,
        5.001014390720705,
        5.0010363271988725,
        5.00105826367704,
        5.001080200155207,
        5.001102136633375,
        5.0011240731115425,
        5.00114600958971,
        5.001167946067878,
        5.001189882546045,
        5.0012118190242125,
        5.00123423238234,
        5.0012561688605075,
        5.001278105338676,
        5.001300041816843,
        5.00132197829501,
        5.001343914773178,
        5.001365851251346,
        5.001387787729513,
        5.00140972420768,
        5.001431660685848,
        5.001453597164016,
        5.001475533642183,
        5.001497470120351,
        5.0015194065985185,
        5.001541343076686,
        5.001563279554853,
        5.001585216033021,
        5.0016071525111885,
        5.001629088989356,
        5.001651025467524,
        5.001672961945691,
        5.001694421543898,
        5.001716358022066,
        5.0017382945002336,
        5.001760230978401,
        5.001782167456569,
        5.001804103934736,
        5.001826040412904,
        5.001847976891071,
        5.001869913369239,
        5.001891849847406,
        5.001913786325574,
        5.001935722803742,
        5.001957659281909,
        5.001979595760076,
        5.002001532238244,
        5.002022991836451,
        5.002044928314619,
        5.002066864792787,
        5.002088801270954,
        5.002110737749121,
        5.002132674227289,
        5.002154610705457,
        5.002176547183624,
        5.002198483661791,
        5.002219943259999,
        5.0022418797381665,
        5.002263816216334,
        5.002285752694502,
        5.002307689172669,
        5.0023296256508365,
        5.002351562129005,
        5.002373498607172,
        5.002394958205379,
        5.002416894683547,
        5.002438831161714,
        5.002460767639882,
        5.00248270411805,
        5.002504640596217,
        5.002526100194424,
        5.002569973150759,
        5.0037259301741965,
        5.003747389772404,
        5.0037907858487785,
        5.003812722326947,
        5.003834658805114,
        5.003856118403322,
        5.003878054881489,
        5.003899514479696,
        5.003921450957864,
        5.003943387436031,
        5.003964847034239,
        5.003986783512406,
        5.004008243110613,
        5.004030179588781,
        5.004052116066949,
        5.004073575665156,
        5.004095512143324,
        5.004116971741531,
        5.004138908219699,
        5.004160367817906,
        5.004182304296074,
        5.004204240774241,
        5.004225700372448,
        5.004247636850616,
        5.004269096448823,
        5.004291032926991,
        5.004312492525198,
        5.004334429003365,
        5.004355888601573,
        5.00437782507974,
        5.0043997615579086,
        5.004421221156115,
        5.004443157634283,
        5.0044646172324905,
        5.004486553710658,
        5.0045080133088655,
        5.004529949787033,
        5.004551409385241,
        5.004573345863408,
        5.004594805461616,
        5.004616741939783,
        5.00463820153799,
        5.004660138016158,
        5.004681597614365,
        5.004703534092533,
        5.00472499369074,
        5.004746930168907,
        5.004768389767115,
        5.004789849365322,
        5.00481178584349,
        5.004833245441697,
        5.004855181919865,
        5.004876641518072,
        5.004898577996239,
        5.004920037594447,
        5.004941974072614,
        5.004963433670822,
        5.004985370148989,
        5.005006829747197,
        5.005028289345404,
        5.005050225823572,
        5.005071685421779,
        5.005093621899946,
        5.005115081498154,
        5.005136541096362,
        5.005158477574529,
        5.005179937172736,
        5.005201873650904,
        5.005223333249111,
        5.005245269727279,
        5.005266729325486,
        5.005288188923694,
        5.005310125401861,
        5.005331585000069,
        5.005353044598276,
        5.005374981076443,
        5.005396440674651,
        5.005418377152818,
        5.005439836751026,
        5.005461296349233,
        5.005483232827401,
        5.005504692425608,
        5.0055261520238155,
        5.005548088501983,
        5.0055695481001905,
        5.005591007698397,
        5.005612944176565,
        5.005634403774772,
        5.00565586337298,
        5.0056777998511475,
        5.005699259449354,
        5.005720719047562,
        5.005742655525729,
        5.005764115123937,
        5.005785574722144,
        5.005807511200312,
        5.005828970798519,
        5.005850430396727,
        5.005872366874894,
        5.005893826473102,
        5.005915286071309,
        5.0059367456695165,
        5.005958682147684,
        5.005980141745892,
        5.006001601344098,
        5.006023537822266,
        5.0060449974204735,
        5.006066457018681,
        5.006087916616888,
        5.006109853095055,
        5.006131312693263,
        5.006152772291471,
        5.006174231889678,
        5.006196168367845,
        5.006217627966053,
        5.006239087564261,
        5.0062605471624675,
        5.006282483640635,
        5.0063039432388425,
        5.00632540283705,
        5.006346862435257,
        5.0063687989134245,
        5.006390258511632,
        5.00641171810984,
        5.006433177708047,
        5.006454637306255,
        5.006476573784422,
        5.006498033382629,
        5.0065194929808365,
        5.006540952579044,
        5.006562412177251,
        5.0065843486554185,
        5.006605808253626,
        5.006627267851834,
        5.006648727450041,
        5.006670187048249,
        5.006692123526416,
        5.006713583124624,
        5.0067350427228305,
        5.006756502321038,
        5.006777961919245,
        5.006799421517453,
        5.00682135799562,
        5.006842817593828,
        5.006864277192035,
        5.006885736790243,
        5.0069071963884495,
        5.006928655986657,
        5.006950115584864,
        5.006972052063032,
        5.006993511661239,
        5.007014971259447,
        5.007036430857654,
        5.007057890455862,
        5.007079350054069,
        5.007100809652276,
        5.007122269250484,
        5.007143728848691,
        5.007165665326859,
        5.007187124925066,
        5.007208584523274,
        5.0072300441214805,
        5.007251503719688,
        5.007272963317895,
        5.007294422916103,
        5.007315882514311,
        5.007337342112518,
        5.007358801710725,
        5.007380261308932,
        5.00740172090714,
        5.007423657385307,
        5.007445116983515,
        5.007466576581722,
        5.00748803617993,
        5.0075094957781365,
        5.007530955376344,
        5.007552414974551,
        5.007573874572759,
        5.007595334170967,
        5.007616793769174,
        5.007638253367381,
        5.007659712965588,
        5.007681172563796,
        5.007702632162003,
        5.007724091760211,
        5.0077455513584175,
        5.007767010956625,
        5.007788470554833,
        5.00780993015304,
        5.007831389751248,
        5.0078528493494545,
        5.007874308947662,
        5.007895768545869,
        5.007917228144077,
        5.007938687742285,
        5.0079601473404916,
        5.007981606938699,
        5.008003066536906,
        5.008024526135114,
        5.008045985733321,
        5.008067445331529,
        5.0080889049297355,
        5.008110364527943,
        5.008131824126151,
        5.008153283724358,
        5.008174743322566,
        5.0081962029207725,
        5.00821766251898,
        5.008239122117187,
        5.008260581715395,
        5.008281564433642,
        5.008303024031849,
        5.008324483630057,
        5.008345943228265,
        5.0083674028264715,
        5.008388862424679,
        5.008410322022886,
        5.008431781621094,
        5.008453241219301,
        5.008474700817509,
        5.008496160415715,
        5.008517620013923,
        5.0085386027321706,
        5.008560062330377,
        5.008581521928585,
        5.008602981526793,
        5.008624441125,
        5.008645900723208,
        5.0086673603214145,
        5.008688819919622,
        5.008710279517829,
        5.0087312622360765,
        5.008752721834284,
        5.008774181432491,
        5.008795641030699,
        5.008817100628906,
        5.0088385602271135,
        5.008860019825321,
        5.008881002543568,
        5.0089024621417755,
        5.008923921739983,
        5.00894538133819,
        5.008966840936398,
        5.008988300534605,
        5.009009283252852,
        5.00903074285106,
        5.009052202449267,
        5.0090736620474745,
        5.009095121645681,
        5.009116581243889,
        5.0091375639621365,
        5.009159023560343,
        5.009180483158551,
        5.009201942756758,
        5.009223402354966,
        5.009244385073213,
        5.00926584467142,
        5.009287304269628,
        5.0093087638678355,
        5.009329746586082,
        5.00935120618429,
        5.009372665782497,
        5.009394125380704,
        5.009415584978912,
        5.009436567697159,
        5.009458027295366,
        5.009479486893574,
        5.009500946491781,
        5.009521929210028,
        5.009543388808236,
        5.009564848406443,
        5.009586308004651,
        5.009607290722897,
        5.009628750321105,
        5.009650209919313,
        5.00967166951752,
        5.009692652235767,
        5.009714111833975,
        5.009735571432182,
        5.009756554150429,
        5.009778013748637,
        5.009799473346844,
        5.009820932945051,
        5.009841915663299,
        5.009863375261506,
        5.009884834859713,
        5.00990581757796,
        5.009927277176168,
        5.009948736774375,
        5.009969719492622,
        5.00999117909083,
        5.010012638689037,
        5.010033621407284,
        5.010055081005492,
        5.010076540603699,
        5.010097523321946,
        5.010118982920154,
        5.010140442518361,
        5.010161425236608,
        5.0101828848348156,
        5.010204344433022,
        5.01022532715127,
        5.0102467867494775,
        5.010268246347684,
        5.010289229065932,
        5.0103106886641395,
        5.010332148262346,
        5.010353130980594,
        5.0103745905788015,
        5.010395573297049,
        5.010417032895256,
        5.0104384924934635,
        5.010459475211711,
        5.010480934809918,
        5.0105023944081255,
        5.010523377126373,
        5.01054483672458,
        5.010565819442827,
        5.010587279041035,
        5.010608738639242,
        5.010629721357489,
        5.010651180955697,
        5.010672163673943,
        5.010693623272151,
        5.010714605990398,
        5.010736065588605,
        5.010757525186813,
        5.01077850790506,
        5.010799967503267,
        5.010820950221515,
        5.010842409819722,
        5.01086339253797,
        5.010884852136177,
        5.010906311734384,
        5.010927294452631,
        5.010948754050839,
        5.010969736769086,
        5.010991196367293,
        5.01101217908554,
        5.011033638683748,
        5.011054621401995,
        5.011076081000202,
        5.0110970637184495,
        5.011118523316657,
        5.011139506034904,
        5.0111609656331115,
        5.011181948351359,
        5.011203407949566,
        5.011224390667813,
        5.011245850266021,
        5.011266832984268,
        5.011288292582475,
        5.0113092753007225,
        5.01133073489893,
        5.011351717617178,
        5.0113731772153844,
        5.011394159933632,
        5.011415619531839,
        5.011436602250086,
        5.011458061848294,
        5.011479044566541,
        5.011500504164748,
        5.011521486882995,
        5.011542946481203,
        5.0115639291994505,
        5.011585388797657,
        5.011606371515905,
        5.011627354234152,
        5.011648813832359,
        5.011669796550606,
        5.011691256148814,
        5.011712238867061,
        5.011733698465268,
        5.011754681183516,
        5.011775663901763,
        5.01179712349997,
        5.011818106218217,
        5.011839565816425,
        5.011860548534672,
        5.011882008132879,
        5.011902990851127,
        5.011923973569374,
        5.011945433167581,
        5.011966415885828,
        5.011987875484036,
        5.012008858202283,
        5.01202984092053,
        5.0120513005187375,
        5.012072283236985,
        5.012093265955232,
        5.012114725553439,
        5.012135708271686,
        5.012157167869894,
        5.0121781505881415,
        5.012199133306388,
        5.012220592904596,
        5.012241575622843,
        5.0122625583410905,
        5.012284017939297,
        5.012305000657545,
        5.012325983375792,
        5.012347442973999,
        5.012368425692246,
        5.012389408410494,
        5.012410868008701,
        5.012431850726949,
        5.012452833445195,
        5.012474293043403,
        5.01249527576165,
        5.012516258479898,
        5.0125377180781046,
        5.012558700796352,
        5.012579683514599,
        5.012601143112806,
        5.0126221258310535,
        5.012643108549301,
        5.012664568147509,
        5.012685550865755,
        5.012706533584002,
        5.01272751630225,
        5.0127489759004575,
        5.012769958618705,
        5.012790941336951,
        5.012812400935159,
        5.0128333836534065,
        5.012854366371654,
        5.0128753490899,
        5.012896808688108,
        5.012917791406355,
        5.012938774124603,
        5.01295975684285,
        5.012981216441057,
        5.013002199159304,
        5.013023181877552,
        5.013044164595799,
        5.013065624194006,
        5.013086606912253,
        5.013107589630501,
        5.013128572348748,
        5.013150031946955,
        5.013171014665202,
        5.01319199738345,
        5.013212980101697,
        5.013233962819944,
        5.013255422418151,
        5.0132764051363985,
        5.013297387854646,
        5.013318370572893,
        5.0133393532911406,
        5.013360812889347,
        5.013381795607595,
        5.013402778325842,
        5.0134237610440895,
        5.013444743762336,
        5.013466203360544,
        5.013487186078791,
        5.013508168797038,
        5.013529151515286,
        5.013550134233532,
        5.01357111695178,
        5.013592576549987,
        5.013613559268235,
        5.013634541986481,
        5.0136555247047285,
        5.013676507422976,
        5.013697490141223,
        5.013718949739431,
        5.0137399324576775,
        5.013760915175925,
        5.013781897894172,
        5.0138028806124195,
        5.013823863330667,
        5.013844846048914,
        5.013866305647121,
        5.0138872883653685,
        5.013908271083616,
        5.013929253801863,
        5.0139502365201105,
        5.013971219238357,
        5.013992201956604,
        5.014013184674852,
        5.014034167393099,
        5.014055626991306,
        5.014076609709553,
        5.014097592427801,
        5.014118575146048,
        5.014139557864295,
        5.014160540582543,
        5.014181523300789,
        5.0142025060190365,
        5.014223488737284,
        5.014244471455531,
        5.014265454173779,
        5.014286436892026,
        5.014307419610273,
        5.01432887920848,
        5.0143498619267275,
        5.014370844644975,
        5.014391827363222,
        5.014412810081469,
        5.014433792799716,
        5.014454775517963,
        5.014475758236211,
        5.014496740954458,
        5.014517723672705,
        5.014538706390952,
        5.014559689109199,
        5.014580671827447,
        5.014601654545694,
        5.014622637263941,
        5.014643619982189,
        5.014664602700435,
        5.0146855854186825,
        5.01470656813693,
        5.014727550855177,
        5.0147485335734245,
        5.014769516291672,
        5.014790499009919,
        5.014811481728166,
        5.014832464446413,
        5.01485344716466,
        5.014874429882908,
        5.014895412601155,
        5.0149163953194025,
        5.014937378037649,
        5.014958360755896,
        5.014979343474144,
        5.015000326192391,
        5.015021308910638,
        5.015042291628886,
        5.015063274347132,
        5.0150842570653795,
        5.015105239783627,
        5.015126222501874,
        5.015147205220122,
        5.015168187938369,
        5.015189170656615,
        5.015209676494903,
        5.01523065921315,
        5.015251641931397,
        5.015272624649644,
        5.015293607367892,
        5.015314590086139,
        5.0153355728043865,
        5.015356555522633,
        5.01537753824088,
        5.015398520959128,
        5.015419503677375,
        5.015440486395622,
        5.015460992233909,
        5.015481974952157,
        5.015502957670404,
        5.0155239403886505,
        5.015544923106898,
        5.015565905825145,
        5.0155868885433925,
        5.01560787126164,
        5.015628853979887,
        5.015649359818174,
        5.0156703425364215,
        5.015691325254668,
        5.015712307972915,
        5.015733290691163,
        5.01575427340941,
        5.015775256127657,
        5.015795761965944,
        5.015816744684192,
        5.015837727402439,
        5.0158587101206855,
        5.015879692838933,
        5.01590067555718,
        5.015921658275428,
        5.0159421641137145,
        5.015963146831962,
        5.015984129550209,
        5.016005112268457,
        5.016026094986703,
        5.01604707770495,
        5.016067583543237,
        5.016088566261485,
        5.016109548979732,
        5.016130531697979,
        5.016151514416227,
        5.016172020254514,
        5.016193002972761,
        5.016213985691008,
        5.016234968409255,
        5.016255951127502,
        5.016276456965789,
        5.0162974396840365,
        5.016318422402284,
        5.016339405120531,
        5.016359910958818,
        5.0163808936770655,
        5.016401876395313,
        5.016422859113559,
        5.016443841831807,
        5.016464347670094,
        5.016485330388341,
        5.016506313106588,
        5.016527295824836,
        5.016547801663123,
        5.01656878438137,
        5.016589767099617,
        5.016610749817865,
        5.016631255656152,
        5.016652238374399,
        5.0166732210926455,
        5.016693726930933,
        5.01671470964918,
        5.016735692367427,
        5.0167566750856745,
        5.016777180923961,
        5.016798163642209,
        5.016819146360456,
        5.0168401290787035,
        5.01686063491699,
        5.019387621825898,
        5.022540275242542,
        5.022560781080829,
        5.022581286919116,
        5.022601792757403,
        5.0226222985956905,
        5.0226428044339775,
        5.022663310272264,
        5.022683816110551,
        5.022703845068878,
        5.022744856745453,
        5.02276536258374,
        5.022785868422027,
        5.0228063742603135,
        5.0228268800986005,
        5.022847385936887,
        5.022867414895214,
        5.022887920733502,
        5.022908426571789,
        5.022928932410076,
        5.022949438248363,
        5.0229699440866495,
        5.0229904499249365,
        5.023010955763223,
        5.023030984721551,
        5.023051490559838,
        5.023071996398125,
        5.023092502236412,
        5.023113008074699,
        5.023133513912986,
        5.023153542871313,
        5.0231740487096,
        5.023194554547887,
        5.023215060386174,
        5.023235566224461,
        5.023256072062748,
        5.023276101021075,
        5.023296606859362,
        5.023317112697649,
        5.023337618535936,
        5.023358124374223,
        5.0233781533325494,
        5.023398659170837,
        5.023419165009124,
        5.023439670847411,
        5.023460176685698,
        5.023480205644025,
        5.023500711482312,
        5.023521217320599,
        5.023541723158886,
        5.023561752117213,
        5.0235822579555,
        5.023602763793787,
        5.023623269632074,
        5.023643298590401,
        5.023663804428688,
        5.023684310266975,
        5.023704816105262,
        5.023725321943549,
        5.023745350901876,
        5.023765856740163,
        5.02378636257845,
        5.023806391536777,
        5.023826897375064,
        5.0238474032133515,
        5.0238679090516385,
        5.023887938009965,
        5.023908443848252,
        5.023928949686539,
        5.023949455524826,
        5.023969484483153,
        5.02398999032144,
        5.024010496159727,
        5.024030525118054,
        5.0240510309563415,
        5.0240715367946285,
        5.024092042632915,
        5.024112071591242,
        5.024132577429529,
        5.024153083267816,
        5.024173112226143,
        5.02419361806443,
        5.024214123902717,
        5.024234152861044,
        5.0242546586993315,
        5.0242751645376185,
        5.024295193495945,
        5.024315699334232,
        5.024336205172519,
        5.024356234130846,
        5.024376739969133,
        5.02439724580742,
        5.024417274765747,
        5.024437780604034,
        5.024458286442321,
        5.024478315400648,
        5.024498821238935,
        5.024519327077222,
        5.024539356035549,
        5.024559861873836,
        5.024579890832163,
        5.02460039667045,
        5.024620902508737,
        5.024640931467064,
        5.024661437305351,
        5.024681943143638,
        5.024701972101965,
        5.0247224779402515,
        5.024742506898579,
        5.024763012736866,
        5.024783518575153,
        5.024803547533479,
        5.024824053371767,
        5.024844082330094,
        5.024864588168381,
        5.024885094006668,
        5.024905122964995,
        5.024925628803282,
        5.0249456577616085,
        5.0249661635998955,
        5.024986669438182,
        5.02500669839651,
        5.025027204234797,
        5.025047233193123,
        5.02506773903141,
        5.025087767989738,
        5.025108273828025,
        5.025128302786351,
        5.025148808624638,
        5.025169314462925,
        5.0251893434212525,
        5.025209849259539,
        5.025229878217866,
        5.025250384056153,
        5.02527041301448,
        5.025290918852767,
        5.025310947811094,
        5.025331453649381,
        5.025351482607708,
        5.025371988445995,
        5.025392017404322,
        5.025412523242609,
        5.025432552200936,
        5.025453058039223,
        5.0254730869975495,
        5.025493592835836,
        5.025513621794164,
        5.025534127632451,
        5.025554156590777,
        5.025574662429064,
        5.025594691387392,
        5.025615197225679,
        5.025635226184005,
        5.025655732022293,
        5.0256757609806195,
        5.0256962668189065,
        5.025716295777233,
        5.025736801615521,
        5.025756830573847,
        5.025777336412134,
        5.025797365370461,
        5.025817871208749,
        5.025837900167075,
        5.025857929125402,
        5.025878434963689,
        5.025898463922016,
        5.025918969760303,
        5.02593899871863,
        5.0259595045569165,
        5.025979533515244,
        5.026000039353531,
        5.026020068311857,
        5.026040097270185,
        5.026060603108472,
        5.026080632066798,
        5.026101137905085,
        5.026121166863413,
        5.026141195821739,
        5.026161701660026,
        5.026181730618354,
        5.0262022364566405,
        5.026222265414967,
        5.0262422943732945,
        5.0262628002115814,
        5.026282829169908,
        5.026303335008195,
        5.026323363966522,
        5.026343392924849,
        5.026363898763136,
        5.026383927721462,
        5.02640443355975,
        5.026424462518077,
        5.026444491476403,
        5.02646499731469,
        5.026485026273018,
        5.026505055231344,
        5.026525561069631,
        5.0265455900279585,
        5.026565618986285,
        5.026586124824572,
        5.026606153782899,
        5.026626182741226,
        5.026646688579513,
        5.02666671753784,
        5.026686746496167,
        5.026707252334454,
        5.02672728129278,
        5.026747310251108,
        5.026767816089395,
        5.026787845047721,
        5.026807874006049,
        5.026828379844336,
        5.026848408802662,
        5.02686843776099,
        5.0268889435992765,
        5.026908972557603,
        5.0269290015159305,
        5.026949030474257,
        5.026969536312544,
        5.0269895652708705,
        5.027009594229198,
        5.027030100067485,
        5.027050129025811,
        5.027070157984139,
        5.027090186942465,
        5.027110692780752,
        5.02713072173908,
        5.027150750697406,
        5.027171256535693,
        5.027191285494021,
        5.027211314452347,
        5.027231343410674,
        5.027251849248961,
        5.027271878207288,
        5.027291907165615,
        5.027311936123942,
        5.027332441962229,
        5.0273524709205555,
        5.027372499878883,
        5.027392528837209,
        5.027412557795536,
        5.027433063633823,
        5.02745309259215,
        5.027473121550477,
        5.027493150508804,
        5.027513656347091,
        5.027533685305418,
        5.027553714263745,
        5.027573743222072,
        5.027593772180398,
        5.027614278018685,
        5.027634306977013,
        5.027654335935339,
        5.027674364893667,
        5.027694393851993,
        5.02771489969028,
        5.027734928648607,
        5.027754957606934,
        5.027774986565261,
        5.027795015523588,
        5.0278150444819145,
        5.0278355503202015,
        5.027855579278529,
        5.027875608236855,
        5.027895637195182,
        5.027915666153509,
        5.027935695111836,
        5.027955724070163,
        5.02797622990845,
        5.027996258866777,
        5.028016287825103,
        5.028036316783431,
        5.028056345741757,
        5.028076374700085,
        5.028096403658411,
        5.028116909496698,
        5.028136938455026,
        5.028156967413352,
        5.028176996371679,
        5.028197025330006,
        5.028217054288333,
        5.028237083246659,
        5.028257112204987,
        5.028277141163313,
        5.0282976470016,
        5.0283176759599275,
        5.028337704918254,
        5.0283577338765815,
        5.028377762834908,
        5.028417820751562,
        5.0284378497098885,
        5.028457878668216,
        5.0284779076265425,
        5.028497936584869,
        5.028517965543196,
        5.028538471381483,
        5.029325800195714,
        5.030796021112899,
        5.030815573191266,
        5.030835602149592,
        5.030875660066246,
        5.030895212144613,
        5.03091524110294,
        5.030935270061267,
        5.030954822139633,
        5.030974851097961,
        5.030994880056287,
        5.031014432134654,
        5.031034461092981,
        5.031054490051308,
        5.031074519009635,
        5.031094071088002,
        5.031114100046328,
        5.031134129004655,
        5.031153681083022,
        5.031173710041349,
        5.031193738999676,
        5.031213291078043,
        5.031233320036369,
        5.031253348994696,
        5.031272901073063,
        5.031292930031389,
        5.031312958989717,
        5.031332511068083,
        5.03135254002641,
        5.031372568984737,
        5.031392121063104,
        5.03141215002143,
        5.031431702099797,
        5.031451731058124,
        5.031471760016451,
        5.0314913120948175,
        5.031511341053145,
        5.031531370011471,
        5.0315509220898385,
        5.031570951048165,
        5.031590503126532,
        5.0316105320848585,
        5.031630561043186,
        5.031650113121552,
        5.0316701420798795,
        5.031689694158246,
        5.031709723116573,
        5.0317297520749,
        5.031749304153267,
        5.031769333111593,
        5.03178888518996,
        5.034706913666202,
        5.0382992504061175,
        5.038322617524165,
        5.038345507762253,
        5.038368874880302,
        5.038392241998349,
        5.038415132236437,
        5.038438499354485,
        5.038461866472534,
        5.038484756710621,
        5.038508123828669,
        5.038531490946717,
        5.038554381184805,
        5.038577748302853,
        5.038601115420901,
        5.038624005658989,
        5.038647372777037,
        5.038670263015125,
        5.038693630133173,
        5.038716997251221,
        5.038739887489308,
        5.038763254607357,
        5.038786144845445,
        5.038809511963493,
        5.038832879081541,
        5.038855769319628,
        5.038879136437677,
        5.038902026675765,
        5.0389253937938125,
        5.038948284031901,
        5.038971651149948,
        5.038995018267997,
        5.039017908506084,
        5.0390412756241325,
        5.039064165862221,
        5.039087532980268,
        5.039110423218356,
        5.039133790336404,
        5.039156680574492,
        5.03918004769254,
        5.039202937930628,
        5.039226305048676,
        5.0392491952867635,
        5.039272562404812,
        5.0392954526429,
        5.039318819760948,
        5.039341709999036,
        5.0393650771170835,
        5.039387967355172,
        5.039411334473219,
        5.039434224711307,
        5.039457591829356,
        5.039480482067443,
        5.0395038491854915,
        5.039526739423579,
        5.039549629661667,
        5.039572996779715,
        5.039595887017803,
        5.039619254135851,
        5.039642144373939,
        5.039665511491987,
        5.039688401730075,
        5.039711291968163,
        5.039734659086211,
        5.039757549324299,
        5.039780916442346,
        5.0398038066804345,
        5.039826696918523,
        5.03985006403657,
        5.039872954274658,
        5.039896321392706,
        5.039919211630794,
        5.039942101868882,
        5.03996546898693,
        5.039988359225018,
        5.040011249463106,
        5.040034616581154,
        5.040057506819242,
        5.04008039705733,
        5.040103764175377,
        5.0401266544134655,
        5.040149544651554,
        5.040172911769601,
        5.040195802007689,
        5.040218692245777,
        5.040242059363825,
        5.040264949601913,
        5.04028783984,
        5.040311206958049,
        5.040334097196137,
        5.040356987434224,
        5.040379877672312,
        5.04040324479036,
        5.040426135028448,
        5.040449025266536,
        5.040472392384584,
        5.040495282622672,
        5.04051817286076,
        5.040541063098848,
        5.040564430216896,
        5.040587320454984,
        5.040610210693072,
        5.040633100931159,
        5.040655991169247,
        5.040679358287295,
        5.040702248525383,
        5.040725138763471,
        5.040748029001559,
        5.040771396119607,
        5.040794286357695,
        5.040817176595783,
        5.04084006683387,
        5.040862957071958,
        5.040886324190007,
        5.040909214428094,
        5.040932104666182,
        5.04095499490427,
        5.0409778851423575,
        5.0410007753804456,
        5.041024142498494,
        5.041047032736581,
        5.041069922974669,
        5.0410928132127575,
        5.041115703450846,
        5.041138593688933,
        5.041161483927021,
        5.0411848510450685,
        5.041207741283157,
        5.041230631521245,
        5.041253521759333,
        5.04127641199742,
        5.041299302235508,
        5.041322192473596,
        5.041345082711684,
        5.041367972949772,
        5.04139086318786,
        5.041414230305908,
        5.041437120543995,
        5.0414600107820835,
        5.041482901020172,
        5.041505791258259,
        5.041528681496347,
        5.041551571734435,
        5.041574461972523,
        5.04159735221061,
        5.041620242448698,
        5.0416431326867865,
        5.041666022924875,
        5.041688913162962,
        5.04171180340105,
        5.041734693639138,
        5.041757583877226,
        5.041780474115313,
        5.0418033643534015,
        5.04182625459149,
        5.041849144829577,
        5.041872035067665,
        5.041894925305753,
        5.041917815543841,
        5.041940705781928,
        5.041963596020016,
        5.0419864862581045,
        5.042009376496193,
        5.04203226673428,
        5.042055156972368,
        5.042078047210456,
        5.042100937448544,
        5.042123827686631,
        5.0421467179247195,
        5.042169608162808,
        5.042192498400896,
        5.042215388638983,
        5.042238278877071,
        5.042261169115159,
        5.042284059353246,
        5.042306472711374,
        5.042329362949462,
        5.04235225318755,
        5.042375143425638,
        5.0423980336637255,
        5.042420923901814,
        5.042443814139902,
        5.04246670437799,
        5.042489594616077,
        5.042512007974205,
        5.042534898212293,
        5.042557788450381,
        5.042580678688469,
        5.042603568926556,
        5.042626459164644,
        5.0426493494027325,
        5.04267223964082,
        5.042694652998947,
        5.0427175432370355,
        5.042740433475124,
        5.042763323713212,
        5.042786213951299,
        5.042809104189387,
        5.042831517547515,
        5.042854407785603,
        5.042877298023691,
        5.042900188261778,
        5.042923078499866,
        5.042945491857994,
        5.042968382096082,
        5.04299127233417,
        5.043014162572257,
        5.043036575930385,
        5.043059466168473,
        5.043082356406561,
        5.043105246644649,
        5.0431281368827365,
        5.043150550240864,
        5.043173440478952,
        5.04319633071704,
        5.043219220955128,
        5.043241634313255,
        5.043264524551343,
        5.0432874147894315,
        5.04331030502752,
        5.043332718385647,
        5.0433556086237346,
        5.043378498861823,
        5.04340091221995,
        5.0434238024580385,
        5.0434466926961266,
        5.043469106054254,
        5.0434919962923415,
        5.04351488653043,
        5.043537776768518,
        5.043560190126645,
        5.0435830803647335,
        5.043605970602821,
        5.043628383960948,
        5.0436512741990365,
        5.043674164437125,
        5.043696577795252,
        5.04371946803334,
        5.043742358271428,
        5.043764771629555,
        5.043787661867643,
        5.043810075225771,
        5.043832965463859,
        5.043855855701946,
        5.043878269060075,
        5.043901159298162,
        5.04392404953625,
        5.043946462894378,
        5.043969353132466,
        5.043991766490594,
        5.044014656728681,
        5.044037546966769,
        5.044059960324897,
        5.044082850562985,
        5.044105263921113,
        5.044128154159201,
        5.044151044397288,
        5.044173457755416,
        5.044196347993504,
        5.044218761351631,
        5.0442416515897195,
        5.044264064947847,
        5.044286955185935,
        5.044309368544063,
        5.04433225878215,
        5.044355149020238,
        5.044377562378366,
        5.044400452616454,
        5.044422865974582,
        5.04444575621267,
        5.044468169570798,
        5.044491059808885,
        5.0445134731670125,
        5.044536363405101,
        5.044558776763228,
        5.044581667001316,
        5.044604080359444,
        5.044626970597532,
        5.04464938395566,
        5.044672274193747,
        5.044694687551875,
        5.044717577789963,
        5.044739991148091,
        5.044762881386179,
        5.044785294744306,
        5.044807708102434,
        5.044830598340522,
        5.04485301169865,
        5.044875901936737,
        5.044898315294865,
        5.044921205532953,
        5.044943618891081,
        5.044966509129169,
        5.044988922487296,
        5.045011335845424,
        5.045034226083512,
        5.04505663944164,
        5.045079529679727,
        5.045101943037855,
        5.0451243563959824,
        5.0451472466340705,
        5.045169659992198,
        5.045192550230286,
        5.045214963588414,
        5.045237376946542,
        5.04526026718463,
        5.0452826805427575,
        5.045305570780845,
        5.045327984138972,
        5.0453503974971,
        5.045373287735188,
        5.045395701093316,
        5.045418114451444,
        5.045441004689532,
        5.045463418047659,
        5.045485831405787,
        5.045508721643875,
        5.045531135002003,
        5.045553548360131,
        5.045576438598218,
        5.0455988519563455,
        5.045621265314473,
        5.045644155552561,
        5.045666568910689,
        5.045688982268817,
        5.045711395626944,
        5.0457342858650325,
        5.04575669922316,
        5.045779112581288,
        5.045802002819376,
        5.045824416177504,
        5.045846829535631,
        5.045869242893759,
        5.045892133131846,
        5.045914546489974,
        5.045936959848102,
        5.045959373206229,
        5.045982263444317,
        5.046004676802445,
        5.046027090160573,
        5.0460495035187005,
        5.046072393756789,
        5.046094807114916,
        5.046117220473044,
        5.046139633831172,
        5.04616252406926,
        5.0461849374273875,
        5.046207350785515,
        5.046229764143643,
        5.046252177501771,
        5.046275067739858,
        5.0462974810979855,
        5.046319894456113,
        5.046342307814241,
        5.046364721172369,
        5.046387134530496,
        5.046410024768584,
        5.046432438126712,
        5.04645485148484,
        5.046477264842967,
        5.046499678201095,
        5.046522091559223,
        5.046544981797311,
        5.046567395155439,
        5.046589808513566,
        5.046612221871694,
        5.046634635229822,
        5.046657048587949,
        5.046679461946077,
        5.046702352184165,
        5.046724765542293,
        5.046747178900421,
        5.046769592258548,
        5.046792005616676,
        5.046814418974804,
        5.046836832332931,
        5.046859245691059,
        5.046881659049187,
        5.046904549287275,
        5.0469269626454025,
        5.04694937600353,
        5.046971789361658,
        5.046994202719786,
        5.047016616077913,
        5.047039029436041,
        5.047061442794169,
        5.047083856152296,
        5.047106269510424,
        5.047128682868552,
        5.0471510962266795,
        5.047173509584807,
        5.047195922942935,
        5.0472183363010625,
        5.04724074965919,
        5.047263163017318,
        5.047285576375446,
        5.047307989733573,
        5.047330403091701,
        5.047352816449829,
        5.047375229807956,
        5.047397643166084,
        5.047420056524212,
        5.0474424698823395,
        5.047464883240467,
        5.047487296598595,
        5.0475097099567225,
        5.04753212331485,
        5.047554536672978,
        5.047576950031106,
        5.047599363389233,
        5.047621776747361,
        5.047644190105489,
        5.047666603463616,
        5.047689016821744,
        5.047711430179872,
        5.0477338435379995,
        5.047756256896127,
        5.047778670254255,
        5.0478010836123826,
        5.04782349697051,
        5.047845910328638,
        5.047868323686766,
        5.047890737044893,
        5.047912673523061,
        5.047935086881188,
        5.047957500239316,
        5.047979913597444,
        5.048002326955571,
        5.048024740313699,
        5.048047153671827,
        5.0480695670299545,
        5.048091980388082,
        5.04811439374621,
        5.048136330224378,
        5.048158743582506,
        5.048181156940633,
        5.048203570298761,
        5.048225983656889,
        5.0482483970150165,
        5.048270810373144,
        5.0482927468513115,
        5.048315160209439,
        5.048337573567567,
        5.0483599869256945,
        5.048382400283822,
        5.04840481364195,
        5.048426750120117,
        5.048449163478245,
        5.048471576836373,
        5.0484939901945,
        5.048516403552628,
        5.048538816910756,
        5.048560753388924,
        5.0485831667470515,
        5.048605580105179,
        5.048627993463307,
        5.048649929941474,
        5.048672343299602,
        5.04869475665773,
        5.048717170015857,
        5.048739583373985,
        5.048761519852152,
        5.04878393321028,
        5.048806346568408,
        5.048828759926535,
        5.0488506964047035,
        5.048873109762831,
        5.048895523120959,
        5.048917936479087,
        5.048939872957254,
        5.048962286315382,
        5.048984699673509,
        5.049051462867932,
        5.04907387622606,
        5.049096289584187,
        5.0491182260623555,
        5.049140639420483,
        5.049163052778611,
        5.049184989256778,
        5.049207402614906,
        5.0492298159730336,
        5.049251752451201,
        5.0492741658093285,
        5.049296579167456,
        5.049318515645624,
        5.049340929003752,
        5.04936334236188,
        5.049385278840047,
        5.049407692198175,
        5.0494301055563025,
        5.04945204203447,
        5.049474455392597,
        5.049496868750725,
        5.049518805228892,
        5.04954121858702,
        5.049563631945149,
        5.049585568423316,
        5.049607981781444,
        5.049630395139571,
        5.049652331617739,
        5.049674744975866,
        5.049696681454034,
        5.049719094812161,
        5.049741508170289,
        5.049763444648457,
        5.049785858006585,
        5.049807794484752,
        5.04983020784288,
        5.0498526212010075,
        5.049874557679175,
        5.0498969710373025,
        5.049918907515471,
        5.049941320873598,
        5.049963257351766,
        5.049985670709893,
        5.050008084068021,
        5.050030020546188,
        5.050052433904316,
        5.050074370382484,
        5.050096783740612,
        5.050118720218779,
        5.050141133576907,
        5.050163070055074,
        5.050185483413202,
        5.0502078967713295,
        5.050229833249497,
        5.0502522466076245,
        5.050274183085793,
        5.05029659644392,
        5.050318532922088,
        5.050340946280215,
        5.050362882758383,
        5.05038529611651,
        5.0504072325946785,
        5.050429645952806,
        5.0504515824309735,
        5.050473995789101,
        5.0504959322672685,
        5.050518345625396,
        5.050540282103563,
        5.050562695461691,
        5.050584631939859,
        5.050606568418027,
        5.050628981776154,
        5.0506509182543216,
        5.050673331612449,
        5.050695268090617,
        5.050717681448745,
        5.050739617926912,
        5.05076203128504,
        5.050783967763207,
        5.0508059042413755,
        5.050828317599503,
        5.0508502540776705,
        5.050872667435798,
        5.0508946039139655,
        5.050917017272093,
        5.0509389537502605,
        5.050960890228429,
        5.050983303586556,
        5.051005240064724,
        5.051027653422851,
        5.051049589901019,
        5.051071526379187,
        5.0510939397373145,
        5.051115876215482,
        5.051138289573609,
        5.051160226051777,
        5.051182162529944,
        5.051204575888072,
        5.05122651236624,
        5.051248448844407,
        5.051270862202535,
        5.051292798680702,
        5.05131473515887,
        5.051337148516998,
        5.051359084995165,
        5.051381021473333,
        5.05140343483146,
        5.051425371309628,
        5.051447307787796,
        5.051469721145923,
        5.051491657624091,
        5.051513594102258,
        5.051536007460386,
        5.051557943938554,
        5.051579880416721,
        5.051602293774849,
        5.051624230253016,
        5.051646166731184,
        5.051668580089312,
        5.051690516567479,
        5.0517124530456465,
        5.051734389523814,
        5.0517568028819415,
        5.05177873936011,
        5.051800675838277,
        5.051823089196405,
        5.051845025674572,
        5.05186696215274,
        5.051888898630907,
        5.051911311989035,
        5.051933248467202,
        5.05195518494537,
        5.051977121423538,
        5.0519995347816655,
        5.052021471259833,
        5.052043407738,
        5.052065344216168,
        5.0520872806943355,
        5.052109694052463,
        5.0521316305306305,
        5.052153567008798,
        5.052175503486966,
        5.052197916845094,
        5.052219853323261,
        5.052241789801428,
        5.052263726279596,
        5.052285662757764,
        5.052308076115891,
        5.052330012594059,
        5.052351949072227,
        5.052373885550394,
        5.052395822028561,
        5.052417758506729,
        5.052440171864856,
        5.052462108343025,
        5.052484044821192,
        5.052505981299359,
        5.052527917777527,
        5.052549854255695,
        5.052572267613822,
        5.05259420409199,
        5.052616140570157,
        5.052638077048325,
        5.052660013526492,
        5.05268195000466,
        5.052703886482828,
        5.052725822960995,
        5.052748236319123,
        5.05277017279729,
        5.052792109275457,
        5.0528140457536255,
        5.052835982231793,
        5.05285791870996,
        5.052879855188128,
        5.0529017916662955,
        5.052923728144463,
        5.0529461415025905,
        5.052968077980758,
        5.052990014458926,
        5.053011950937093,
        5.0530338874152605,
        5.053055823893429,
        5.053077760371596,
        5.053099696849763,
        5.0531216333279305,
        5.053143569806099,
        5.053165506284266,
        5.053187442762433,
        5.053209379240601,
        5.053231315718769,
        5.053253252196936,
        5.053275188675103,
        5.0532971251532715,
        5.053319538511399,
        5.053341474989566,
        5.053363411467734,
        5.053385347945902,
        5.053407284424069,
        5.0534292209022365,
        5.053451157380404,
        5.053473093858572,
        5.053495030336739,
        5.0535169668149065,
        5.053538903293075,
        5.053560839771242,
        5.053582776249409,
        5.0536047127275765,
        5.053626649205745,
        5.053648585683912,
        5.053670522162079,
        5.053692458640247,
        5.053713918238454,
        5.053735854716622,
        5.05375779119479,
        5.053779727672957,
        5.053801664151124,
        5.0538236006292925,
        5.05384553710746,
        5.053867473585627,
        5.053889410063794,
        5.0539113465419625,
        5.05393328302013,
        5.053955219498297,
        5.053977155976465,
        5.0539990924546325,
        5.0540210289328,
        5.054042965410967,
        5.054064901889135,
        5.054086361487342,
        5.05410829796551,
        5.054130234443678,
        5.054152170921845,
        5.054174107400012,
        5.05419604387818,
        5.054217980356348,
        5.054239916834515,
        5.054261853312683,
        5.05428331291089,
        5.054305249389057,
        5.054327185867225,
        5.054349122345393,
        5.05437105882356,
        5.054392995301728,
        5.054414931779895,
        5.054436868258063,
        5.0544583278562705,
        5.054480264334438,
        5.054502200812605,
        5.054524137290773,
        5.0545460737689405,
        5.054568010247108,
        5.0545894698453155,
        5.054611406323483,
        5.05463334280165,
        5.054655279279818,
        5.054677215757986,
        5.054699152236153,
        5.054720611834361,
        5.054742548312528,
        5.054764484790695,
        5.054786421268863,
        5.054808357747031,
        5.0548298173452375,
        5.054851753823406,
        5.054873690301573,
        5.05489562677974,
        5.054917563257908,
        5.054939022856115,
        5.054960959334283,
        5.054982895812451,
        5.055004832290618,
        5.055026291888826,
        5.055048228366993,
        5.05507016484516,
        5.055092101323328,
        5.055113560921535,
        5.055135497399703,
        5.055157433877871,
        5.055179370356038,
        5.055200829954245,
        5.055222766432413,
        5.0552447029105805,
        5.055266639388748,
        5.0552880989869555,
        5.055310035465123,
        5.05533197194329,
        5.055353431541498,
        5.055375368019665,
        5.055397304497833,
        5.055419240976001,
        5.0554407005742075,
        5.055462637052376,
        5.055484573530543,
        5.055506033128751,
        5.055527969606918,
        5.055549906085085,
        5.055571365683293,
        5.05559330216146,
        5.055615238639628,
        5.055636698237835,
        5.055658634716003,
        5.05568057119417,
        5.055702030792378,
        5.055723967270545,
        5.055745903748713,
        5.05576736334692,
        5.055789299825087,
        5.0558112363032555,
        5.055832695901462,
        5.0558546323796305,
        5.055876568857798,
        5.055898028456005,
        5.055919964934173,
        5.05594190141234,
        5.055963361010547,
        5.055985297488715,
        5.056006757086922,
        5.05602869356509,
        5.0560506300432575,
        5.056072089641464,
        5.0560940261196325,
        5.056115485717839,
        5.056137422196008,
        5.056159358674175,
        5.056180818272382,
        5.05620275475055,
        5.056224214348757,
        5.056246150826925,
        5.056268087305092,
        5.056289546903299,
        5.056311483381467,
        5.056332942979674,
        5.056354879457842,
        5.056376339056049,
        5.0563982755342165,
        5.056419735132424,
        5.0564416716105915,
        5.05646360808876,
        5.056485067686967,
        5.056507004165134,
        5.056528463763342,
        5.056550400241509,
        5.056571859839717,
        5.056593796317884,
        5.056615255916092,
        5.056637192394259,
        5.056658651992467,
        5.056680588470634,
        5.056702048068841,
        5.056723984547009,
        5.056745444145216,
        5.056767380623384,
        5.056788840221591,
        5.056810776699758,
        5.056832236297966,
        5.056854172776133,
        5.056875632374341,
        5.056897568852508,
        5.056919028450716,
        5.0569409649288835,
        5.05696242452709,
        5.0569843610052585,
        5.057005820603465,
        5.0570277570816335,
        5.05704921667984,
        5.057071153158008,
        5.0570926127562155,
        5.057114072354423,
        5.0571360088325905,
        5.057157468430797,
        5.057179404908966,
        5.057200864507172,
        5.057222800985341,
        5.0572442605835475,
        5.057266197061715,
        5.0572876566599225,
        5.05730911625813,
        5.057331052736298,
        5.0573525123345044,
        5.057374448812673,
        5.0573959084108795,
        5.057417368009087,
        5.0574393044872545,
        5.057460764085462,
        5.05748270056363,
        5.057504160161837,
        5.057525619760044,
        5.0575475562382115,
        5.057569015836419,
        5.0575909523145866,
        5.057612411912794,
        5.057633871511001,
        5.057655807989169,
        5.057677267587376,
        5.057698727185584,
        5.057720663663751,
        5.057742123261959,
        5.057763582860166,
        5.057785519338333,
        5.057806978936541,
        5.057828438534749,
        5.057850375012916,
        5.057871834611123,
        5.057893294209331,
        5.057915230687498,
        5.057936690285706,
        5.057958149883913,
        5.057980086362081,
        5.058001545960288,
        5.058023005558495,
        5.058044942036663,
        5.05806640163487,
        5.058087861233077,
        5.0581097977112455,
        5.058131257309452,
        5.05815271690766,
        5.058174653385827,
        5.058196112984034,
        5.058217572582242,
        5.05823903218045,
        5.058260968658617,
        5.058282428256824,
        5.058303887855032,
        5.0583253474532395,
        5.058347283931407,
        5.058368743529614,
        5.058390203127821,
        5.058412139605989,
        5.058433599204196,
        5.058455058802403,
        5.058476518400611,
        5.058498454878778,
        5.058519914476986,
        5.058541374075193,
        5.058562833673401,
        5.0585842932716085,
        5.058606229749776,
        5.058627689347983,
        5.05864914894619,
        5.058670608544397,
        5.0586925450225655,
        5.058714004620772,
        5.05873546421898,
        5.058756923817187,
        5.058778383415395,
        5.058800319893562,
        5.05882177949177,
        5.058843239089977,
        5.0588646986881844,
        5.058886158286392,
        5.0589080947645595,
        5.058929554362766,
        5.058951013960974,
        5.058972473559182,
        5.058993933157389,
        5.0590153927555965,
        5.059037329233764,
        5.059058788831972,
        5.0590802484301785,
        5.059101708028386,
        5.059123167626593,
        5.059144627224801,
        5.059166563702968,
        5.059188023301176,
        5.059209482899383,
        5.0592309424975905,
        5.059252402095797,
        5.059273861694005,
        5.059295321292212,
        5.05931678089042,
        5.059338717368587,
        5.059360176966795,
        5.059381636565002,
        5.0594030961632095,
        5.059424555761417,
        5.059446015359624,
        5.059467474957832,
        5.059488934556039,
        5.0595103941542465,
        5.059532330632414,
        5.059553790230622,
        5.0595752498288284,
        5.059596709427036,
        5.059618169025243,
        5.059639628623451,
        5.059661088221658,
        5.0596825478198655,
        5.059704007418073,
        5.05972546701628,
        5.059746926614488,
        5.059768386212695,
        5.0597898458109025,
        5.059811305409109,
        5.059832765007317,
        5.059854701485484,
        5.059876161083692,
        5.059897620681899,
        5.059919080280107,
        5.059940539878314,
        5.0599619994765215,
        5.059983459074729,
        5.060004918672936,
        5.060026378271144,
        5.060047837869351,
        5.0600692974675585,
        5.060090757065765,
        5.060112216663973,
        5.060133676262181,
        5.060155135860388,
        5.0601765954585955,
        5.060198055056802,
        5.06021951465501,
        5.060240974253217,
        5.060262433851425,
        5.060283893449633,
        5.0603053530478395,
        5.060326812646047,
        5.060348272244254,
        5.060369731842462,
        5.060391191440669,
        5.060905268037725,
        5.060926727635933,
        5.060948187234141,
        5.060969646832348,
        5.060990629550595,
        5.061012089148802,
        5.06103354874701,
        5.0610550083452175,
        5.061076467943424,
        5.061097927541632,
        5.061119387139839,
        5.061140846738047,
        5.061161829456294,
        5.061183289054501,
        5.061204748652709,
        5.061226208250916,
        5.061247667849123,
        5.061269127447331,
        5.061290110165578,
        5.061311569763785,
        5.061333029361992,
        5.0613544889602,
        5.061375948558408,
        5.061397408156615,
        5.061418390874862,
        5.06143985047307,
        5.061461310071277,
        5.061482769669484,
        5.061504229267691,
        5.061525211985939,
        5.061546671584146,
        5.061568131182353,
        5.061589590780561,
        5.061611050378768,
        5.061632033097015,
        5.061653492695223,
        5.06167495229343,
        5.061696411891638,
        5.0617178714898445,
        5.061738854208092,
        5.0617603138063,
        5.0617817734045065,
        5.061803233002714,
        5.061824215720962,
        5.0618456753191685,
        5.061867134917376,
        5.061888594515583,
        5.0619095772338305,
        5.061931036832038,
        5.061952496430245,
        5.061973956028453,
        5.0619949387467,
        5.062016398344907,
        5.062037857943115,
        5.062059317541323,
        5.062080300259569,
        5.062101759857777,
        5.062123219455985,
        5.062144202174231,
        5.062165661772439,
        5.062187121370646,
        5.0622085809688535,
        5.062229563687101,
        5.062251023285308,
        5.0622724828835155,
        5.062293465601763,
        5.06231492519997,
        5.0623363847981775,
        5.062357367516425,
        5.062378827114632,
        5.0624002867128395,
        5.062421269431087,
        5.062442729029294,
        5.0624641886275015,
        5.062485171345749,
        5.062506630943956,
        5.0625280905421635,
        5.062549073260411,
        5.062570532858618,
        5.0625919924568255,
        5.062612975175073,
        5.06263443477328,
        5.062655894371487,
        5.062676877089735,
        5.062698336687942,
        5.062719796286149,
        5.062740779004397,
        5.062762238602604,
        5.062783698200811,
        5.062804680919059,
        5.062826140517266,
        5.062847123235513,
        5.062868582833721,
        5.062890042431928,
        5.062911025150175,
        5.062932484748382,
        5.062953467466629,
        5.062974927064837,
        5.062996386663044,
        5.063017369381291,
        5.063038828979499,
        5.063059811697746,
        5.063081271295953,
        5.063102730894161,
        5.063123713612408,
        5.063145173210615,
        5.0631661559288625,
        5.06318761552707,
        5.063208598245317,
        5.0632300578435245,
        5.063251040561772,
        5.063272500159979,
        5.0632939597581865,
        5.063314942476434,
        5.063336402074641,
        5.063357384792888,
        5.063378844391096,
        5.063399827109343,
        5.06342128670755,
        5.0634422694257974,
        5.063463729024005,
        5.063484711742252,
        5.063506171340459,
        5.063527154058707,
        5.063548613656914,
        5.063569596375161,
        5.063591055973369,
        5.063612515571576,
        5.063633498289823,
        5.063654957888031,
        5.063675940606278,
        5.063697400204485,
        5.063718382922732,
        5.06373936564098,
        5.063760825239187,
        5.063781807957434,
        5.063803267555642,
        5.063824250273889,
        5.063845709872096,
        5.063866692590343,
        5.063888152188551,
        5.0639091349067975,
        5.063930594505005,
        5.063951577223253,
        5.0639730368214595,
        5.063994019539707,
        5.064015479137915,
        5.064036461856162,
        5.064057444574409,
        5.064078904172616,
        5.0640998868908635,
        5.06412134648907,
        5.064142329207318,
        5.0641637888055255,
        5.064184771523773,
        5.06420575424202,
        5.064227213840227,
        5.0642481965584745,
        5.064269656156682,
        5.064290638874929,
        5.0643120984731365,
        5.064333081191384,
        5.064354063909631,
        5.064375523507838,
        5.064396506226085,
        5.064417965824293,
        5.06443894854254,
        5.064459931260787,
        5.064481390858995,
        5.064502373577242,
        5.0645233562954886,
        5.064544815893696,
        5.064565798611944,
        5.0645872582101505,
        5.064608240928398,
        5.064629223646645,
        5.064650683244853,
        5.0646716659631,
        5.064692648681347,
        5.064714108279555,
        5.064735090997802,
        5.064756073716049,
        5.064777533314256,
        5.0647985160325035,
        5.064819498750751,
        5.064840958348958,
        5.064861941067205,
        5.0648829237854525,
        5.06490438338366,
        5.064925366101908,
        5.064946348820154,
        5.064967808418362,
        5.064988791136609,
        5.0650097738548565,
        5.065031233453063,
        5.065052216171311,
        5.065073198889558,
        5.065094658487765,
        5.065115641206012,
        5.06513662392426,
        5.065157606642507,
        5.065179066240714,
        5.065200048958961,
        5.065221031677209,
        5.065242491275416,
        5.065263473993664,
        5.06528445671191,
        5.0653054394301575,
        5.065326899028365,
        5.065347881746613,
        5.065368864464859,
        5.0653898471831065,
        5.065411306781314,
        5.065432289499562,
        5.065453272217809,
        5.065474254936055,
        5.065495714534263,
        5.0655166972525105,
        5.065537679970758,
        5.065558662689004,
        5.065580122287212,
        5.0656011050054595,
        5.065622087723707,
        5.065643070441954,
        5.065664530040161,
        5.065685512758408,
        5.065706495476656,
        5.065727478194903,
        5.06574846091315,
        5.065769920511357,
        5.065790903229605,
        5.065811885947852,
        5.065832868666099,
        5.065853851384346,
        5.065875310982554,
        5.065896293700801,
        5.065917276419048,
        5.065938259137295,
        5.065959241855542,
        5.0659802245737895,
        5.066001684171997,
        5.066022666890245,
        5.066043649608491,
        5.066064632326738,
        5.066085615044986,
        5.066106597763233,
        5.06612805736144,
        5.066149040079687,
        5.066170022797935,
        5.066191005516182,
        5.066211988234429,
        5.066232970952677,
        5.066253953670924,
        5.066275413269131,
        5.066296395987378,
        5.066317378705626,
        5.066338361423873,
        5.0663593441421195,
        5.066380326860367,
        5.066401309578614,
        5.066422292296862,
        5.066443751895069,
        5.066464734613316,
        5.066485717331563,
        5.0665067000498105,
        5.066527682768058,
        5.066548665486305,
        5.066569648204553,
        5.066590630922799,
        5.066611613641046,
        5.066632596359294,
        5.066653579077541,
        5.066675038675748,
        5.066696021393995,
        5.066717004112243,
        5.06673798683049,
        5.066758969548737,
        5.066779952266985,
        5.066800934985232,
        5.066821917703479,
        5.066842900421726,
        5.066863883139973,
        5.066884865858221,
        5.066905848576468,
        5.066926831294715,
        5.066947814012962,
        5.066968796731209,
        5.0669897794494565,
        5.067010762167704,
        5.067031744885951,
        5.067052727604199,
        5.067073710322445,
        5.067094693040692,
        5.06711567575894,
        5.067136658477187,
        5.067158118075394,
        5.067179100793641,
        5.067200083511889,
        5.067221066230136,
        5.067242048948383,
        5.067263031666631,
        5.067283537504918,
        5.067304520223165,
        5.0673255029414115,
        5.067346485659659,
        5.067367468377906,
        5.0673884510961535,
        5.067409433814401,
        5.067430416532648,
        5.067451399250896,
        5.067472381969142,
        5.067493364687389,
        5.067514347405637,
        5.067535330123884,
        5.0675563128421315,
        5.067577295560379,
        5.067598278278625,
        5.067619260996873,
        5.06764024371512,
        5.067661226433367,
        5.067682209151615,
        5.067703191869862,
        5.0677241745881085,
        5.067745157306356,
        5.067766140024603,
        5.06778664586289,
        5.0678076285811375,
        5.067828611299385,
        5.067849594017632,
        5.06787057673588,
        5.067891559454126,
        5.067912542172373,
        5.067933524890621,
        5.067954507608868,
        5.0679754903271155,
        5.067996473045363,
        5.06801697888365,
        5.068037961601897,
        5.068058944320144,
        5.068079927038391,
        5.068100909756638,
        5.068121892474886,
        5.068142875193133,
        5.06816385791138,
        5.068184363749667,
        5.068205346467915,
        5.068226329186161,
        5.0682473119044085,
        5.068268294622656,
        5.068289277340903,
        5.0683102600591505,
        5.0683307658974375,
        5.068351748615685,
        5.068372731333932,
        5.068393714052179,
        5.068414696770426,
        5.068435679488673,
        5.06845618532696,
        5.068477168045208,
        5.068498150763455,
        5.068519133481702,
        5.06854011619995,
        5.068561098918196,
        5.068581604756484,
        5.0686025874747305,
        5.068623570192978,
        5.068644552911225,
        5.0686655356294725,
        5.0686860414677595,
        5.068707024186007,
        5.068728006904254,
        5.068748989622501,
        5.0687694954607885,
        5.068790478179035,
        5.068811460897282,
        5.06883244361553,
        5.068853426333777,
        5.068873932172064,
        5.068894914890311,
        5.068915897608559,
        5.068936880326806,
        5.068957386165093,
        5.06897836888334,
        5.068999351601587,
        5.069020334319834,
        5.069040840158121,
        5.069061822876368,
        5.069082805594616,
        5.069103788312863,
        5.06912429415115,
        5.069145276869397,
        5.069166259587645,
        5.069187242305892,
        5.069207748144179,
        5.0692287308624255,
        5.069249713580673,
        5.06927021941896,
        5.069291202137207,
        5.0693121848554545,
        5.069333167573702,
        5.069353673411989,
        5.069374656130236,
        5.0693956388484835,
        5.0694161446867705,
        5.069437127405018,
        5.069458110123265,
        5.069478615961552,
        5.069499598679799,
        5.069520581398046,
        5.069541564116293,
        5.06956206995458,
        5.069583052672828,
        5.069604035391075,
        5.069624541229362,
        5.069645523947609,
        5.069666506665857,
        5.0696870125041436,
        5.069707995222391,
        5.069728501060678,
        5.069749483778925,
        5.069770466497172,
        5.0697909723354595,
        5.069811955053706,
        5.069832937771953,
        5.06985344361024,
        5.069874426328488,
        5.069895409046735,
        5.069915914885022,
        5.069936897603269,
        5.069957403441556,
        5.069978386159804,
        5.069999368878051,
        5.070019874716338,
        5.070040857434585,
        5.070061840152833,
        5.0700823459911195,
        5.070103328709367,
        5.070123834547654,
        5.070144817265901,
        5.070165799984148,
        5.070186305822435,
        5.070207288540682,
        5.070227794378969,
        5.070248777097216,
        5.070269282935503,
        5.0702902656537505,
        5.070311248371998,
        5.070331754210285,
        5.070352736928532,
        5.070373242766819,
        5.0703942254850665,
        5.070414731323353,
        5.070435714041601,
        5.070456219879888,
        5.070477202598135,
        5.070498185316382,
        5.070518691154669,
        5.070539673872917,
        5.070560179711204,
        5.070581162429451,
        5.070601668267738,
        5.070622650985985,
        5.070643156824272,
        5.07066413954252,
        5.0706846453808065,
        5.070705628099054,
        5.070726133937341,
        5.070747116655587,
        5.070767622493875,
        5.070788605212122,
        5.070809111050409,
        5.070830093768656,
        5.070850599606943,
        5.07087158232519,
        5.070892088163477,
        5.0709130708817245,
        5.070933576720011,
        5.070954559438259,
        5.070975065276546,
        5.070996047994793,
        5.07101655383308,
        5.071037536551327,
        5.071058042389614,
        5.071079025107862,
        5.071099530946149,
        5.071120513664396,
        5.071141019502683,
        5.07116152534097,
        5.071182508059217,
        5.071203013897504,
        5.0712239966157515,
        5.0712445024540385,
        5.071265485172286,
        5.071285991010573,
        5.07130697372882,
        5.071327479567107,
        5.071347985405394,
        5.071368968123641,
        5.071389473961928,
        5.071410456680176,
        5.071430962518463,
        5.07145194523671,
        5.071472451074997,
        5.071492956913284,
        5.071513939631531,
        5.071534445469818,
        5.0715554281880655,
        5.071575934026352,
        5.071596439864639,
        5.071617422582887,
        5.071637928421174,
        5.071658434259461,
        5.071679416977708,
        5.071699922815995,
        5.071720905534242,
        5.071741411372529,
        5.071761917210816,
        5.0717828999290635,
        5.0718034057673504,
        5.071823911605637,
        5.071844894323885,
        5.071865400162172,
        5.071885906000459,
        5.071906888718706,
        5.071927394556993,
        5.07194837727524,
        5.071968883113527,
        5.071989388951814,
        5.0720103716700615,
        5.0720308775083485,
        5.072051383346636,
        5.072072366064883,
        5.072092871903171,
        5.0721133777414575,
        5.0721338835797445,
        5.072154866297992,
        5.072175372136279,
        5.072195877974566,
        5.072216860692813,
        5.0722373665311,
        5.072257872369387,
        5.072278855087634,
        5.072299360925921,
        5.072319866764208,
        5.072340372602495,
        5.0723613553207425,
        5.0723818611590294,
        5.072402366997316,
        5.072423349715564,
        5.072443855553851,
        5.072464361392138,
        5.072484867230425,
        5.072505849948672,
        5.072526355786959,
        5.072546861625246,
        5.072567367463534,
        5.07258835018178,
        5.072608856020067,
        5.072629361858355,
        5.072649867696642,
        5.072670850414889,
        5.072691356253176,
        5.072711862091463,
        5.07273236792975,
        5.072753350647997,
        5.072773856486284,
        5.072794362324571,
        5.072814868162858,
        5.072835850881106,
        5.0728563567193925,
        5.0728768625576794,
        5.072897368395966,
        5.072917874234253,
        5.072938856952501,
        5.072959362790788,
        5.072979868629075,
        5.073000374467362,
        5.073020880305649,
        5.073041863023897,
        5.073062368862184,
        5.073082874700471,
        5.0731033805387575,
        5.0731238863770445,
        5.073144392215331,
        5.073165374933579,
        5.073185880771866,
        5.073206386610153,
        5.07322689244844,
        5.0732473982867266,
        5.073267904125014,
        5.073288886843261,
        5.073309392681548,
        5.073329898519836,
        5.073350404358123,
        5.0733709101964095,
        5.0733914160346965,
        5.073411921872983,
        5.073432904591231,
        5.073453410429518,
        5.073473916267805,
        5.073494422106092,
        5.0735149279443785,
        5.0735354337826655,
        5.073555939620953,
        5.07357644545924,
        5.073597428177488,
        5.0736179340157745,
        5.0736384398540615,
        5.073658945692348,
        5.073679451530635,
        5.073699957368922,
        5.073720463207209,
        5.073740969045496,
        5.073761474883783,
        5.073781980722071,
        5.073802486560358,
        5.073823469278605,
        5.073843975116892,
        5.073864480955179,
        5.073884986793466,
        5.073905492631753,
        5.07392599847004,
        5.073946504308327,
        5.073967010146614,
        5.073987515984901,
        5.074008021823189,
        5.074028527661476,
        5.0740490334997626,
        5.0740695393380495,
        5.074090045176336,
        5.074110551014623,
        5.07413105685291,
        5.074151562691197,
        5.074172068529485,
        5.074192574367772,
        5.074213080206059,
        5.074234062924306,
        5.074254568762593,
        5.07427507460088,
        5.074295580439167,
        5.074316086277454,
        5.074336592115741,
        5.074357097954028,
        5.074377603792315,
        5.074398109630603,
        5.07441861546889,
        5.074439121307177,
        5.074459627145464,
        5.074480132983751,
        5.0745006388220375,
        5.074520667780364,
        5.074541173618652,
        5.074561679456939,
        5.074582185295226,
        5.074602691133513,
        5.0746231969718,
        5.074643702810087,
        5.0746642086483735,
        5.0746847144866605,
        5.074705220324948,
        5.074725726163235,
        5.074746232001522,
        5.074766737839809,
        5.074787243678096,
        5.074807749516383,
        5.07482825535467,
        5.074848761192957,
        5.074869267031244,
        5.074889772869532,
        5.074910278707819,
        5.074930307666145,
        5.074950813504432,
        5.074971319342719,
        5.074991825181006,
        5.075012331019294,
        5.075032836857581,
        5.075053342695868,
        5.075073848534155,
        5.075094354372442,
        5.0751148602107286,
        5.0751353660490155,
        5.075155395007343,
        5.07517590084563,
        5.075196406683917,
        5.075216912522204,
        5.075237418360491,
        5.075257924198778,
        5.075278430037065,
        5.0752989358753515,
        5.075318964833679,
        5.075339470671966,
        5.075359976510253,
        5.07538048234854,
        5.075400988186827,
        5.075421494025114,
        5.0754419998634015,
        5.075462028821728,
        5.075482534660015,
        5.075503040498302,
        5.075523546336589,
        5.075544052174876,
        5.075564558013163,
        5.07558458697149,
        5.075605092809777,
        5.075625598648064,
        5.075646104486351,
        5.075666610324638,
        5.075687116162925,
        5.075707145121252,
        5.075727650959539,
        5.075748156797826,
        5.075768662636113,
        5.0757891684744,
        5.0758091974327275,
        5.0758297032710145,
        5.075850209109301,
        5.075870714947588,
        5.075890743905915,
        5.075911249744203,
        5.07593175558249,
        5.075952261420777,
        5.0759727672590635,
        5.07599279621739,
        5.076013302055677,
        5.076033807893965,
        5.076054313732252,
        5.076074342690578,
        5.076094848528865,
        5.076115354367152,
        5.076135860205439,
        5.076155889163767,
        5.0761763950020535,
        5.0761969008403405,
        5.076217406678627,
        5.076237435636955,
        5.076257941475242,
        5.076278447313529,
        5.076298953151816,
        5.076318982110142,
        5.076339487948429,
        5.076359993786716,
        5.0763800227450435,
        5.0764005285833305,
        5.076421034421617,
        5.076441540259904,
        5.076461569218232,
        5.076482075056519,
        5.076502580894806,
        5.076522609853132,
        5.076543115691419,
        5.076563621529706,
        5.0765836504880335,
        5.0766041563263204,
        5.076624662164607,
        5.076644691122934,
        5.076665196961222,
        5.076685702799509,
        5.076705731757835,
        5.076726237596122,
        5.076746743434409,
        5.0767667723927365,
        5.0767872782310235,
        5.07680778406931,
        5.076827813027637,
        5.076848318865924,
        5.076868824704212,
        5.076888853662538,
        5.076909359500825,
        5.076929865339112,
        5.07694989429744,
        5.0769704001357265,
        5.076990429094053,
        5.07701093493234,
        5.077031440770627,
        5.077051469728954,
        5.077071975567241,
        5.077092481405528,
        5.077112510363855,
        5.077133016202142,
        5.077153045160469,
        5.077173550998756,
        5.077194056837043,
        5.07721408579537,
        5.077234591633657,
        5.077254620591984,
        5.077275126430271,
        5.077295155388598,
        5.077315661226885,
        5.077336167065172,
        5.077356196023499,
        5.077376701861786,
        5.077396730820113,
        5.0774172366584,
        5.077437265616727,
        5.0774577714550135,
        5.0774782772933005,
        5.077498306251628,
        5.077518812089915,
        5.077538841048241,
        5.077559346886528,
        5.077579375844856,
        5.077599881683143,
        5.077619910641469,
        5.077640416479756,
        5.077660445438084,
        5.0776809512763705,
        5.077700980234697,
        5.077721486072984,
        5.077741991911272,
        5.077762020869598,
        5.077782526707885,
        5.077802555666212,
        5.0778230615045,
        5.077843090462826,
        5.077863596301113,
        5.07788362525944,
        5.0779041310977275,
        5.077924160056054,
        5.077944665894341,
        5.0779646948526675,
        5.077984723810995,
        5.078005229649282,
        5.0780252586076084,
        5.078045764445895,
        5.078065793404223,
        5.07808629924251,
        5.078106328200836,
        5.078126834039123,
        5.078146862997451,
        5.078167368835738,
        5.078187397794064,
        5.078207903632352,
        5.0782279325906785,
        5.078247961549005,
        5.078268467387292,
        5.078288496345619,
        5.078309002183906,
        5.078329031142233,
        5.07834953698052,
        5.078369565938847,
        5.078389594897174,
        5.078410100735461,
        5.078430129693788,
        5.078450635532075,
        5.078470664490402,
        5.078491170328689,
        5.078511199287016,
        5.0785312282453425,
        5.0785517340836295,
        5.078571763041957,
        5.078592268880244,
        5.07861229783857,
        5.078632326796898,
        5.078652832635185,
        5.078672861593511,
        5.078692890551838,
        5.078713396390126,
        5.078733425348452,
        5.078753931186739,
        5.078773960145066,
        5.078793989103393,
        5.07881449494168,
        5.078834523900007,
        5.078854552858334,
        5.078875058696621,
        5.0788950876549475,
        5.078915116613275,
        5.078935622451562,
        5.078955651409888,
        5.078975680368216,
        5.078996186206503,
        5.079016215164829,
        5.079036244123156,
        5.079056749961444,
        5.07907677891977,
        5.079096807878097,
        5.079117313716384,
        5.079137342674711,
        5.079157371633038,
        5.0791778774713245,
        5.079197906429652,
        5.0792179353879785,
        5.079237964346306,
        5.079258470184593,
        5.079278499142919,
        5.079298528101246,
        5.079319033939534,
        5.07933906289786,
        5.079359091856187,
        5.079379120814514,
        5.079399626652801,
        5.079419655611128,
        5.079439684569455,
        5.079459713527782,
        5.079480219366069,
        5.079500248324396,
        5.079520277282723,
        5.0795407831210095,
        5.079560812079336,
        5.0795808410376635,
        5.07960086999599,
        5.0796208989543175,
        5.079641404792604,
        5.079661433750931,
        5.079681462709258,
        5.079701491667585,
        5.079721997505872,
        5.079742026464198,
        5.079762055422526,
        5.079782084380852,
        5.07980211333918,
        5.079822619177467,
        5.079842648135793,
        5.07986267709412,
        5.079882706052447,
        5.079902735010774,
        5.079923240849061,
        5.079943269807388,
        5.079963298765715,
        5.079983327724042,
        5.080003356682369,
        5.0800238625206555,
        5.080043891478982,
        5.0800639204373095,
        5.080083949395636,
        5.080103978353963,
        5.08012400731229,
        5.080144513150577,
        5.080164542108904,
        5.080184571067231,
        5.080204600025557,
        5.080224628983885,
        5.080244657942211,
        5.080265163780498,
        5.080285192738826,
        5.080305221697152,
        5.080325250655479,
        5.080345279613806,
        5.080365308572133,
        5.08038533753046,
        5.080405366488787,
        5.080425872327074,
        5.0804459012854,
        5.080465930243728,
        5.080485959202054,
        5.080505988160382,
        5.080526017118708,
        5.080546046077035,
        5.080566075035362,
        5.080586103993689,
        5.080606132952016,
        5.080626638790303,
        5.0806466677486295,
        5.080666696706957,
        5.0806867256652835,
        5.08070675462361,
        5.080726783581937,
        5.080746812540264,
        5.0807668414985905,
        5.080786870456918,
        5.080806899415244,
        5.080826928373572,
        5.080846957331898,
        5.080866986290225,
        5.080887015248552,
        5.080907044206879,
        5.080927073165206,
        5.080947102123533,
        5.08096760796182,
        5.080987636920146,
        5.084131706497508,
        5.087997772334556,
        5.088021139452604,
        5.088044506570652,
        5.0880678736887,
        5.088091717686708,
        5.088115084804756,
        5.088138451922804,
        5.088161819040852,
        5.0881851861589,
        5.088209030156908,
        5.088232397274957,
        5.088255764393004,
        5.088279131511053,
        5.0883024986291,
        5.088326342627108,
        5.088349709745157,
        5.0883730768632045,
        5.088396443981253,
        5.088419811099301,
        5.088443178217349,
        5.088466545335397,
        5.088490389333405,
        5.088513756451453,
        5.088537123569501,
        5.0885604906875495,
        5.088583857805597,
        5.088607224923646,
        5.088630592041693,
        5.088653959159741,
        5.088677326277789,
        5.088701170275797,
        5.088724537393846,
        5.0887479045118935,
        5.088771271629941,
        5.08879463874799,
        5.088818005866037,
        5.088841372984086,
        5.088864740102133,
        5.088888107220182,
        5.0889114743382295,
        5.088934841456278,
        5.088958208574326,
        5.088981575692374,
        5.089004942810422,
        5.089028309928469,
        5.089051677046518,
        5.089075044164566,
        5.089098411282614,
        5.089121778400662,
        5.08914514551871,
        5.089168512636758,
        5.089191879754806,
        5.089215246872854,
        5.0892386139909025,
        5.08926198110895,
        5.089285348226998,
        5.089308715345046,
        5.089332082463094,
        5.089355449581142,
        5.08937881669919,
        5.0894021838172385,
        5.089425550935286,
        5.089448918053335,
        5.089472285171382,
        5.089495652289431,
        5.089519019407478,
        5.089542386525527,
        5.0895657536435746,
        5.089589120761622,
        5.089612487879671,
        5.089635854997718,
        5.089658745235806,
        5.089682112353855,
        5.0897054794719025,
        5.08972884658995,
        5.089752213707999,
        5.089775580826046,
        5.089798947944095,
        5.089822315062142,
        5.089845682180191,
        5.089868572418278,
        5.089891939536327,
        5.089915306654374,
        5.089938673772423,
        5.08996204089047,
        5.089985408008519,
        5.090008775126567,
        5.090031665364655,
        5.090055032482702,
        5.090078399600751,
        5.090101766718798,
        5.090125133836847,
        5.090148024074935,
        5.090171391192983,
        5.09019475831103,
        5.090218125429079,
        5.090241492547126,
        5.0902643827852145,
        5.090287749903263,
        5.090311117021311,
        5.090334484139358,
        5.090357851257407,
        5.090380741495495,
        5.0904041086135425,
        5.090427475731591,
        5.090450842849639,
        5.090473733087727,
        5.090497100205774,
        5.090520467323823,
        5.0905438344418705,
        5.090566724679959,
        5.090590091798006,
        5.090613458916055,
        5.090636826034102,
        5.0906597162721905,
        5.090683083390238,
        5.090706450508287,
        5.090729340746375,
        5.090752707864422,
        5.090776074982471,
        5.090798965220558,
        5.090822332338607,
        5.090845699456654,
        5.090868589694742,
        5.09089195681279,
        5.0909153239308385,
        5.090938214168927,
        5.090961581286974,
        5.090984948405022,
        5.09100783864311,
        5.091031205761158,
        5.091054572879206,
        5.091077463117294,
        5.091100830235342,
        5.09112419735339,
        5.091147087591478,
        5.091170454709526,
        5.091193344947614,
        5.091216712065662,
        5.09124007918371,
        5.0912629694217975,
        5.091286336539846,
        5.091309226777934,
        5.091332593895982,
        5.091355961014029,
        5.091378851252117,
        5.091402218370166,
        5.091425108608253,
        5.091448475726302,
        5.09147136596439,
        5.091494733082437,
        5.091518100200485,
        5.091540990438573,
        5.091564357556622,
        5.091587247794709,
        5.091610614912757,
        5.0916335051508455,
        5.091656872268893,
        5.091679762506981,
        5.091703129625029,
        5.091726019863117,
        5.0917493869811645,
        5.091772277219253,
        5.091795644337301,
        5.091818534575388,
        5.091841901693437,
        5.091864791931525,
        5.091888159049573,
        5.091911049287661,
        5.091934416405708,
        5.091957306643796,
        5.091980673761844,
        5.092003563999932,
        5.092026931117981,
        5.092049821356068,
        5.092073188474116,
        5.0920960787122045,
        5.092118968950292,
        5.09214233606834,
        5.092165226306427,
        5.092188593424476,
        5.092211483662564,
        5.092234850780612,
        5.0922577410187,
        5.092280631256788,
        5.0923039983748355,
        5.092326888612924,
        5.092350255730971,
        5.092373145969059,
        5.092396036207147,
        5.092419403325195,
        5.092442293563283,
        5.092465660681331,
        5.092488550919419,
        5.092511441157507,
        5.092534808275555,
        5.092557698513643,
        5.092580588751731,
        5.092603955869778,
        5.0926268461078665,
        5.092649736345955,
        5.092673103464002,
        5.09269599370209,
        5.0927188839401785,
        5.092742251058226,
        5.092765141296314,
        5.092788031534401,
        5.09281139865245,
        5.092834288890538,
        5.092857179128625,
        5.092880546246674,
        5.092903436484762,
        5.092926326722849,
        5.092949216960937,
        5.092972584078986,
        5.092995474317073,
        5.093018364555161,
        5.093041731673209,
        5.093064621911297,
        5.093087512149385,
        5.093110402387473,
        5.0931337695055205,
        5.093156659743609,
        5.093179549981697,
        5.093202440219784,
        5.0932258073378325,
        5.093248697575921,
        5.093271587814008,
        5.093294478052096,
        5.0933178451701435,
        5.093340735408232,
        5.09336362564632,
        5.093386515884408,
        5.093409406122495,
        5.0934327732405436,
        5.093455663478632,
        5.093478553716719,
        5.093501443954807,
        5.093524334192895,
        5.093547224430982,
        5.093570591549031,
        5.093593481787119,
        5.093616372025206,
        5.093639262263294,
        5.093662152501382,
        5.09368504273947,
        5.093708409857518,
        5.093731300095606,
        5.093754190333694,
        5.0937770805717815,
        5.09379997080987,
        5.093822861047958,
        5.093845751286045,
        5.093869118404093,
        5.0938920086421815,
        5.093914898880269,
        5.093937789118357,
        5.093960679356445,
        5.093983569594533,
        5.09400645983262,
        5.094029350070708,
        5.094052240308796,
        5.0940751305468845,
        5.094098497664932,
        5.09412138790302,
        5.0941442781411075,
        5.094167168379196,
        5.094190058617284,
        5.094212948855372,
        5.094235839093459,
        5.094258729331547,
        5.094281619569635,
        5.094304509807723,
        5.0943274000458105,
        5.094350290283899,
        5.094373180521987,
        5.094396070760075,
        5.094418960998162,
        5.09444185123625,
        5.094464741474338,
        5.0944876317124255,
        5.094510521950514,
        5.094533412188602,
        5.09455630242669,
        5.094579192664777,
        5.094602082902865,
        5.094624973140953,
        5.094647863379041,
        5.0946707536171285,
        5.094693643855217,
        5.094716534093305,
        5.094739424331393,
        5.09476231456948,
        5.094785204807568,
        5.094808095045656,
        5.0948309852837435,
        5.0948538755218316,
        5.09487676575992,
        5.094899655998008,
        5.094922546236095,
        5.094945436474183,
        5.094967849832311,
        5.094990740070399,
        5.095013630308487,
        5.095036520546574,
        5.095059410784662,
        5.09508230102275,
        5.0951051912608385,
        5.095128081498926,
        5.095150971737014,
        5.095173861975102,
        5.09519627533323,
        5.095219165571318,
        5.095242055809405,
        5.095264946047493,
        5.095287836285581,
        5.095310726523668,
        5.0953336167617564,
        5.0953565069998445,
        5.095378920357972,
        5.09540181059606,
        5.095424700834148,
        5.095447591072236,
        5.095470481310324,
        5.095493371548412,
        5.09551578490654,
        5.095538675144627,
        5.095561565382715,
        5.095584455620803,
        5.095607345858891,
        5.095629759217019,
        5.095652649455106,
        5.095675539693194,
        5.095698429931282,
        5.095721320169369,
        5.095743733527497,
        5.095766623765585,
        5.095789514003673,
        5.095812404241761,
        5.095835294479849,
        5.095857707837976,
        5.095880598076064,
        5.0959034883141525,
        5.095926378552241,
        5.095948791910368,
        5.0959716821484555,
        5.095994572386544,
        5.096017462624632,
        5.096039875982759,
        5.0960627662208475,
        5.096085656458935,
        5.096108069817062,
        5.0961309600551505,
        5.096153850293239,
        5.096176740531327,
        5.096199153889454,
        5.096222044127542,
        5.09624493436563,
        5.0962673477237574,
        5.0962902379618455,
        5.096313128199933,
        5.096335541558061,
        5.096358431796149,
        5.096381322034237,
        5.096404212272325,
        5.0964266256304525,
        5.09644951586854,
        5.096472406106628,
        5.0964948194647555,
        5.096517709702844,
        5.096540123060971,
        5.096563013299059,
        5.096585903537147,
        5.096608316895274,
        5.096631207133362,
        5.0966540973714505,
        5.096676510729578,
        5.096699400967666,
        5.0967222912057535,
        5.096744704563881,
        5.096767594801969,
        5.096790008160097,
        5.096812898398185,
        5.096835788636273,
        5.096858201994401,
        5.096881092232488,
        5.096903505590616,
        5.096926395828704,
        5.096948809186832,
        5.09697169942492,
        5.096994589663008,
        5.0970170030211355,
        5.097039893259223,
        5.09706230661735,
        5.0970851968554385,
        5.097107610213566,
        5.097130500451654,
        5.097152913809782,
        5.09717580404787,
        5.097198694285957,
        5.097221107644085,
        5.097243997882173,
        5.097266411240301,
        5.097289301478389,
        5.097311714836517,
        5.097334605074604,
        5.097357018432732,
        5.09737990867082,
        5.097402322028947,
        5.097425212267035,
        5.097447625625163,
        5.097470515863251,
        5.097492929221379,
        5.097515819459466,
        5.097538232817594,
        5.097561123055682,
        5.09758353641381,
        5.097606426651898,
        5.097628840010025,
        5.097651253368153,
        5.097674143606241,
        5.097696556964369,
        5.097719447202456,
        5.097741860560584,
        5.097764750798672,
        5.0977871641567996,
        5.097810054394888,
        5.097832467753015,
        5.097854881111143,
        5.097877771349231,
        5.097900184707359,
        5.097923074945446,
        5.097945488303574,
        5.097967901661701,
        5.0979907918997895,
        5.098013205257917,
        5.098036095496005,
        5.098058508854133,
        5.098080922212261,
        5.098103812450349,
        5.0981262258084765,
        5.098149116046564,
        5.098171529404691,
        5.098193942762819,
        5.098216833000907,
        5.098239246359035,
        5.098261659717163,
        5.098284549955251,
        5.098306963313378,
        5.098329376671506,
        5.098352266909594,
        5.098374680267722,
        5.09839709362585,
        5.098419983863937,
        5.0984423972220645,
        5.098464810580192,
        5.09848770081828,
        5.098510114176408,
        5.098532527534536,
        5.098555417772624,
        5.0985778311307515,
        5.098600244488879,
        5.098622657847007,
        5.098645548085095,
        5.098667961443223,
        5.09869037480135,
        5.100062358446742,
        5.10008477180487,
        5.1001300754010845,
        5.100152488759212,
        5.10017490211734,
        5.100197315475468,
        5.100219728833595,
        5.100242142191723,
        5.100264555549851,
        5.100286968907978,
        5.100309382266106,
        5.100331795624234,
        5.1003542089823615,
        5.100376622340489,
        5.100399035698617,
        5.1004214490567445,
        5.100443862414872,
        5.100466275773001,
        5.1004886891311285,
        5.100511102489256,
        5.100533515847384,
        5.100555929205512,
        5.100578342563639,
        5.100600755921767,
        5.100623169279895,
        5.100645582638022,
        5.10066751911619,
        5.100689932474317,
        5.100712345832445,
        5.100734759190573,
        5.1007571725487,
        5.100779585906828,
        5.100801999264956,
        5.1008244126230835,
        5.100846825981211,
        5.100869239339339,
        5.100891652697467,
        5.100914066055594,
        5.100936479413722,
        5.10095889277185,
        5.100980829250017,
        5.101003242608145,
        5.101025655966272,
        5.1010480693244,
        5.101070482682528,
        5.101092896040655,
        5.101115309398783,
        5.101137722756911,
        5.1011601361150385,
        5.101182072593207,
        5.101204485951334,
        5.101226899309462,
        5.10124931266759,
        5.101271726025717,
        5.101294139383845,
        5.101316552741973,
        5.10133848922014,
        5.101360902578268,
        5.1013833159363955,
        5.101405729294523,
        5.101428142652651,
        5.101450556010779,
        5.101472492488946,
        5.1014949058470735,
        5.101517319205201,
        5.101539732563329,
        5.101562145921457,
        5.101584559279584,
        5.1016064957577525,
        5.10162890911588,
        5.101651322474008,
        5.101673735832136,
        5.101696149190263,
        5.1017180856684305,
        5.101740499026558,
        5.101762912384686,
        5.101785325742814,
        5.101807262220981,
        5.101829675579109,
        5.101852088937236,
        5.101874502295364,
        5.101896438773532,
        5.10191885213166,
        5.1019412654897875,
        5.101963678847915,
        5.1019856153260825,
        5.10200802868421,
        5.102030442042338,
        5.102052855400466,
        5.102074791878633,
        5.102097205236761,
        5.102119618594888,
        5.102142031953016,
        5.102163968431184,
        5.102186381789312,
        5.1022087951474395,
        5.102230731625607,
        5.1022531449837345,
        5.102275558341862,
        5.1022974948200295,
        5.102319908178157,
        5.102342321536285,
        5.102364734894413,
        5.102386671372581,
        5.102409084730708,
        5.102431498088836,
        5.102453434567003,
        5.102475847925131,
        5.102498261283259,
        5.102520197761426,
        5.102542611119554,
        5.1025650244776815,
        5.102586960955849,
        5.102609374313976,
        5.102631310792145,
        5.102653724150272,
        5.1026761375084,
        5.102698073986567,
        5.102720487344695,
        5.102742900702823,
        5.10276483718099,
        5.102787250539118,
        5.102809187017286,
        5.1028316003754135,
        5.102854013733541,
        5.1028759502117085,
        5.102898363569836,
        5.1029203000480035,
        5.102942713406131,
        5.102965126764259,
        5.102987063242427,
        5.103009476600555,
        5.103031413078722,
        5.10305382643685,
        5.103076239794977,
        5.103098176273145,
        5.103120589631272,
        5.10314252610944,
        5.103164939467567,
        5.1031868759457355,
        5.103209289303863,
        5.1032312257820305,
        5.103253639140158,
        5.1032755756183255,
        5.103297988976453,
        5.103320402334581,
        5.103342338812749,
        5.103364752170877,
        5.103386688649044,
        5.103409102007172,
        5.103431038485339,
        5.103453451843467,
        5.103475388321635,
        5.1034978016797625,
        5.10351973815793,
        5.1035421515160575,
        5.103564087994225,
        5.1035865013523525,
        5.10360843783052,
        5.1036308511886475,
        5.103652787666816,
        5.103675201024943,
        5.103697137503111,
        5.103719550861238,
        5.103741487339406,
        5.103763423817574,
        5.1037858371757014,
        5.103807773653869,
        5.103830187011996,
        5.103852123490164,
        5.103874536848291,
        5.10389647332646,
        5.103918886684587,
        5.1039408231627545,
        5.103962759640922,
        5.1039851729990495,
        5.104007109477217,
        5.1040295228353445,
        5.104051459313513,
        5.10407387267164,
        5.104095809149808,
        5.104117745627975,
        5.104140158986103,
        5.104162095464271,
        5.1041845088223985,
        5.104206445300566,
        5.104228381778733,
        5.104250795136861,
        5.104272731615028,
        5.104294668093196,
        5.104317081451324,
        5.104339017929491,
        5.104361431287619,
        5.104383367765786,
        5.104405304243954,
        5.104427717602082,
        5.104449654080249,
        5.104471590558417,
        5.104494003916544,
        5.104515940394712,
        5.10453787687288,
        5.104560290231007,
        5.104582226709175,
        5.104604163187342,
        5.10462657654547,
        5.104648513023638,
        5.104670449501805,
        5.104692862859933,
        5.1047147993381,
        5.104736735816268,
        5.104759149174396,
        5.104781085652563,
        5.104803022130731,
        5.104825435488858,
        5.1048473719670255,
        5.104869308445194,
        5.104891244923361,
        5.104913658281489,
        5.104935594759656,
        5.104957531237824,
        5.104979944595952,
        5.105001881074119,
        5.105023817552286,
        5.105045754030454,
        5.105068167388581,
        5.1050901038667496,
        5.105112040344917,
        5.105133976823084,
        5.105156390181212,
        5.10517832665938,
        5.105200263137547,
        5.1052221996157146,
        5.105244612973842,
        5.1052665494520095,
        5.105288485930178,
        5.105310422408345,
        5.105332358886512,
        5.10535477224464,
        5.105376708722808,
        5.105398645200975,
        5.105420581679143,
        5.10544299503727,
        5.105464931515439,
        5.105486867993606,
        5.105508804471773,
        5.10553074094994,
        5.105553154308068,
        5.105575090786236,
        5.105597027264404,
        5.105618963742571,
        5.105640900220739,
        5.105662836698906,
        5.105685250057034,
        5.105707186535201,
        5.105729123013369,
        5.105751059491537,
        5.105772995969704,
        5.105794932447871,
        5.1058168689260395,
        5.105839282284167,
        5.1058612187623345,
        5.105883155240502,
        5.105905091718669,
        5.105927028196837,
        5.1059489646750045,
        5.105970901153172,
        5.1059933145112995,
        5.106015250989468,
        5.106037187467635,
        5.106059123945802,
        5.1060810604239695,
        5.106102996902138,
        5.106124933380305,
        5.106146869858472,
        5.10616880633664,
        5.106190742814808,
        5.106213156172935,
        5.106235092651103,
        5.10625702912927,
        5.106278965607438,
        5.106300902085605,
        5.106322838563773,
        5.106344775041941,
        5.106366711520108,
        5.106388647998275,
        5.106410584476443,
        5.106432520954611,
        5.106454457432778,
        5.106476393910945,
        5.106498330389114,
        5.106520266867281,
        5.106542203345448,
        5.1065641398236155,
        5.106586076301784,
        5.106608489659911,
        5.106630426138079,
        5.106652362616246,
        5.106674299094414,
        5.106696235572581,
        5.106718172050749,
        5.106740108528916,
        5.106762045007084,
        5.106783981485251,
        5.106805917963419,
        5.106827854441587,
        5.106849790919754,
        5.106871727397921,
        5.106893663876089,
        5.106915600354257,
        5.106937059952464,
        5.106958996430632,
        5.106980932908799,
        5.1070028693869665,
        5.107024805865134,
        5.107046742343302,
        5.107068678821469,
        5.1070906152996365,
        5.107112551777805,
        5.107134488255972,
        5.107156424734139,
        5.1071783612123065,
        5.107200297690475,
        5.107222234168642,
        5.107244170646809,
        5.107266107124977,
        5.107288043603145,
        5.107309980081312,
        5.107331916559479,
        5.107353376157687,
        5.107375312635854,
        5.1073972491140225,
        5.10741918559219,
        5.107441122070357,
        5.107463058548524,
        5.1074849950266925,
        5.10750693150486,
        5.107528867983027,
        5.107550804461195,
        5.107572264059402,
        5.107594200537569,
        5.107616137015738,
        5.107638073493905,
        5.107660009972072,
        5.10768194645024,
        5.107703882928408,
        5.1077253425266145,
        5.107747279004783,
        5.10776921548295,
        5.107791151961117,
        5.107813088439285,
        5.107835024917453,
        5.10785696139562,
        5.107878420993828,
        5.107900357471995,
        5.107922293950162,
        5.1079442304283305,
        5.107966166906498,
        5.107988103384665,
        5.108009562982873,
        5.10803149946104,
        5.108053435939207,
        5.1080753724173755,
        5.108097308895543,
        5.10811876849375,
        5.108140704971918,
        5.108162641450085,
        5.108184577928252,
        5.108206514406421,
        5.1082279740046275,
        5.108249910482795,
        5.108271846960963,
        5.10829378343913,
        5.108315243037338,
        5.108337179515505,
        5.1083591159936725,
        5.10838105247184,
        5.108402512070048,
        5.108424448548215,
        5.108446385026383,
        5.10872965172272,
        5.108751588200888,
        5.108773524679055,
        5.108795461157222,
        5.10881692075543,
        5.108838857233597,
        5.108860793711765,
        5.1088822533099725,
        5.10890418978814,
        5.108926126266308,
        5.108947585864515,
        5.108969522342682,
        5.10899145882085,
        5.109012918419057,
        5.109034854897225,
        5.109056791375393,
        5.1090782509735995,
        5.109100187451768,
        5.109122123929935,
        5.109143583528143,
        5.10916552000631,
        5.109187456484477,
        5.109208916082685,
        5.109230852560852,
        5.10925278903902,
        5.109274248637227,
        5.109296185115395,
        5.109317644713602,
        5.10933958119177,
        5.109361517669937,
        5.109382977268145,
        5.109404913746312,
        5.10942637334452,
        5.109448309822687,
        5.109470246300854,
        5.109491705899062,
        5.109513642377229,
        5.109535101975437,
        5.109557038453604,
        5.109578974931772,
        5.1096004345299795,
        5.109622371008147,
        5.1096438306063545,
        5.109665767084522,
        5.109687703562689,
        5.109709163160897,
        5.109731099639064,
        5.109752559237272,
        5.109774495715439,
        5.109795955313646,
        5.109817891791814,
        5.109839351390021,
        5.109861287868189,
        5.109882747466396,
        5.109904683944563,
        5.109926620422732,
        5.1099480800209385,
        5.109970016499107,
        5.1099914760973135,
        5.110013412575481,
        5.110034872173689,
        5.110056808651856,
        5.110078268250064,
        5.110100204728231,
        5.110121664326439,
        5.110143600804606,
        5.110165060402814,
        5.110186996880981,
        5.110208456479188,
        5.110230392957356,
        5.110251852555563,
        5.11027378903373,
        5.110295248631938,
        5.110317185110105,
        5.110338644708313,
        5.11036058118648,
        5.110382040784688,
        5.110403977262855,
        5.110425436861063,
        5.11044689645927,
        5.110468832937437,
        5.110490292535645,
        5.110512229013812,
        5.11053368861202,
        5.110555625090187,
        5.110577084688395,
        5.110599021166562,
        5.11062048076477,
        5.110641940362977,
        5.110663876841144,
        5.110685336439352,
        5.110707272917519,
        5.110728732515727,
        5.110750668993894,
        5.110772128592102,
        5.110793588190309,
        5.110815524668477,
        5.110836984266684,
        5.110858920744851,
        5.110880380343059,
        5.110901839941267,
        5.110923776419434,
        5.110945236017641,
        5.110966695615849,
        5.110988632094016,
        5.111010091692224,
        5.111032028170391,
        5.111053487768599,
        5.111074947366806,
        5.111096883844973,
        5.111118343443181,
        5.111139803041389,
        5.111161739519556,
        5.111183199117763,
        5.1112046587159705,
        5.111226595194138,
        5.111248054792346,
        5.111269991270513,
        5.111291450868721,
        5.1113129104669275,
        5.111334846945096,
        5.1113563065433025,
        5.11137776614151,
        5.111399225739717,
        5.111421162217885,
        5.111442621816092,
        5.1114640814143,
        5.111486017892467,
        5.111507477490675,
        5.111528937088882,
        5.111550873567049,
        5.111572333165257,
        5.111593792763464,
        5.111615729241632,
        5.111637188839839,
        5.111658648438047,
        5.1116801080362535,
        5.111702044514422,
        5.1117235041126285,
        5.111744963710836,
        5.111766423309043,
        5.111788359787211,
        5.111809819385418,
        5.111831278983626,
        5.111853215461793,
        5.111874675060001,
        5.111896134658208,
        5.111917594256416,
        5.111939530734583,
        5.111960990332791,
        5.111982449930998,
        5.112003909529205,
        5.11262909915698,
        5.112693477951602,
        5.11271493754981,
        5.112736397148017,
        5.112757856746224,
        5.112779793224392,
        5.1128012528225995,
        5.112822712420806,
        5.112844172019014,
        5.112865631617221,
        5.112887091215429,
        5.112908550813636,
        5.112930010411843,
        5.112951470010051,
        5.112973406488218,
        5.112994866086425,
        5.113016325684633,
        5.113037785282841,
        5.113059244881048,
        5.1130807044792554,
        5.113102164077462,
        5.11312362367567,
        5.113145083273877,
        5.113166542872085,
        5.1131880024702925,
        5.113209462068499,
        5.113230921666707,
        5.113252381264914,
        5.113274317743082,
        5.113295777341289,
        5.113317236939497,
        5.113338696537704,
        5.113360156135911,
        5.113381615734118,
        5.113403075332326,
        5.113424534930533,
        5.113445994528741,
        5.1134674541269485,
        5.113488913725155,
        5.113510373323363,
        5.11353183292157,
        5.113553292519778,
        5.113574752117985,
        5.113596211716192,
        5.1136176713144,
        5.113639130912607,
        5.113660590510815,
        5.113682050109022,
        5.113703509707229,
        5.113724969305436,
        5.113746428903644,
        5.113767888501851,
        5.113789348100059,
        5.1138108076982665,
        5.113832267296473,
        5.113853726894681,
        5.113875186492888,
        5.113896646091096,
        5.113918105689303,
        5.11393956528751,
        5.113961024885718,
        5.113982484483925,
        5.114003944082133,
        5.114024926800379,
        5.114046386398587,
        5.114067845996795,
        5.114089305595002,
        5.114110765193209,
        5.114132224791416,
        5.114153684389624,
        5.114175143987831,
        5.114196603586039,
        5.114218063184246,
        5.114239522782453,
        5.114260982380661,
        5.114282441978868,
        5.114303424697115,
        5.114324884295323,
        5.11434634389353,
        5.114367803491738,
        5.114389263089945,
        5.114410722688152,
        5.114432182286359,
        5.114453641884567,
        5.114475101482775,
        5.114496084201021,
        5.114517543799229,
        5.114539003397437,
        5.114560462995644,
        5.114581922593851,
        5.114603382192058,
        5.114624841790266,
        5.11466728410672,
        5.114688743704928,
        5.114710203303135,
        5.1147531224995495,
        5.11510315239031,
        5.116352577885939,
        5.116374037484147,
        5.116395497082355,
        5.116416479800601,
        5.116437939398809,
        5.116458922117056,
        5.116480381715263,
        5.116501841313471,
        5.116522824031718,
        5.116544283629925,
        5.116565266348172,
        5.11658672594638,
        5.116608185544587,
        5.116629168262834,
        5.116650627861042,
        5.1166716105792895,
        5.116693070177496,
        5.116714052895744,
        5.1167355124939515,
        5.116756972092158,
        5.116777954810406,
        5.1167994144086135,
        5.11682039712686,
        5.116841856725068,
        5.116862839443315,
        5.116884299041522,
        5.116905281759769,
        5.116926741357977,
        5.116948200956184,
        5.116969183674431,
        5.116990643272639,
        5.117011625990886,
        5.117033085589093,
        5.117054068307341,
        5.1170755279055475,
        5.117096510623795,
        5.117117970222003,
        5.11713895294025,
        5.117160412538457,
        5.117181395256704,
        5.117202854854912,
        5.117223837573159,
        5.117245297171366,
        5.117266279889614,
        5.117287739487821,
        5.117308722206068,
        5.117330181804276,
        5.117351164522523,
        5.11737262412073,
        5.117393606838977,
        5.117415066437185,
        5.117436049155432,
        5.117457031873679,
        5.1174784914718865,
        5.117499474190134,
        5.117520933788341,
        5.117541916506588,
        5.117563376104796,
        5.117584358823043,
        5.11760581842125,
        5.117626801139497,
        5.117647783857745,
        5.117669243455952,
        5.117690226174199,
        5.117711685772407,
        5.117732668490654,
        5.117754128088861,
        5.117775110807108,
        5.117796093525356,
        5.117817553123563,
        5.11783853584181,
        5.117859995440018,
        5.117880978158265,
        5.117901960876512,
        5.117923420474719,
        5.117944403192967,
        5.1179658627911735,
        5.117986845509421,
        5.118007828227668,
        5.118029287825876,
        5.118050270544123,
        5.11807173014233,
        5.1180927128605775,
        5.118113695578825,
        5.118135155177032,
        5.118156137895279,
        5.1181771206135265,
        5.118198580211734,
        5.118219562929981,
        5.118240545648228,
        5.118262005246436,
        5.118282987964683,
        5.11830444756289,
        5.118325430281137,
        5.118346412999385,
        5.1183678725975925,
        5.118388855315839,
        5.118409838034086,
        5.118431297632294,
        5.1184522803505415,
        5.118473263068788,
        5.118494245787035,
        5.118515705385243,
        5.11853668810349,
        5.118557670821738,
        5.118579130419945,
        5.118600113138192,
        5.118621095856439,
        5.118642555454646,
        5.1186635381728935,
        5.118684520891141,
        5.118705503609388,
        5.118726963207595,
        5.1187479459258425,
        5.11876892864409,
        5.118790388242298,
        5.118811370960544,
        5.118832353678791,
        5.118853336397039,
        5.1188747959952465,
        5.118895778713494,
        5.11891676143174,
        5.118937744149988,
        5.1189592037481955,
        5.118980186466443,
        5.119001169184689,
        5.119022151902937,
        5.119043611501144,
        5.119064594219392,
        5.119085576937639,
        5.119106559655886,
        5.119128019254093,
        5.119149001972341,
        5.119169984690588,
        5.1191909674088345,
        5.119212427007042,
        5.11923340972529,
        5.119254392443537,
        5.119275375161784,
        5.119296357880031,
        5.1193178174782386,
        5.119338800196486,
        5.119359782914733,
        5.11938076563298,
        5.119401748351227,
        5.119423207949435,
        5.119444190667682,
        5.1194651733859295,
        5.119486156104176,
        5.119507138822423,
        5.119528121540671,
        5.1195495811388785,
        5.119570563857125,
        5.119591546575372,
        5.11961252929362,
        5.119633512011867,
        5.119654494730114,
        5.119675954328321,
        5.119696937046569,
        5.119717919764816,
        5.119738902483063,
        5.119759885201311,
        5.119780867919558,
        5.1198018506378045,
        5.119823310236012,
        5.11984429295426,
        5.119865275672507,
        5.119886258390754,
        5.119907241109001,
        5.119928223827248,
        5.1199492065454955,
        5.119970189263743,
        5.11999117198199,
        5.120012631580197,
        5.120033614298444,
        5.120054597016692,
        5.120075579734939,
        5.1200965624531865,
        5.120117545171433,
        5.12013852788968,
        5.120159510607928,
        5.120180493326175,
        5.120201476044422,
        5.12022245876267,
        5.120243918360877,
        5.120264901079124,
        5.120285883797371,
        5.120306866515619,
        5.120327849233866,
        5.120348831952112,
        5.12036981467036,
        5.120390797388607,
        5.1204117801068545,
        5.120432762825102,
        5.120453745543349,
        5.120474728261596,
        5.120495710979843,
        5.12051669369809,
        5.120537676416338,
        5.120558659134585,
        5.120579641852832,
        5.12060062457108,
        5.120621607289326,
        5.120642590007574,
        5.120663572725821,
        5.120684555444068,
        5.120705538162316,
        5.120726520880563,
        5.1207475035988095,
        5.120768486317057,
        5.120789469035304,
        5.1208104517535515,
        5.120831434471799,
        5.120852417190046,
        5.120873399908293,
        5.12089438262654,
        5.120915365344787,
        5.120936348063035,
        5.120957330781282,
        5.1209783134995295,
        5.120999296217776,
        5.121020278936023,
        5.121041261654271,
        5.121062244372518,
        5.121083227090765,
        5.121104209809013,
        5.121125192527259,
        5.1211461752455065,
        5.121167157963754,
        5.121188140682001,
        5.121209123400249,
        5.121230106118496,
        5.121251088836743,
        5.12127207155499,
        5.121292577393277,
        5.121313560111524,
        5.121334542829771,
        5.121355525548019,
        5.121376508266266,
        5.1213974909845135,
        5.121418473702761,
        5.121439456421007,
        5.121460439139255,
        5.121481421857502,
        5.121502404575749,
        5.121522910414036,
        5.121543893132284,
        5.121564875850531,
        5.121585858568778,
        5.121606841287025,
        5.121627824005272,
        5.1216488067235195,
        5.121669789441767,
        5.121690295280054,
        5.121711277998301,
        5.1217322607165485,
        5.121753243434795,
        5.121774226153042,
        5.12179520887129,
        5.121816191589537,
        5.121836697427824,
        5.121857680146071,
        5.121878662864319,
        5.121899645582566,
        5.1219206283008125,
        5.12194161101906,
        5.121962593737307,
        5.121983099575594,
        5.1220040822938415,
        5.122025065012089,
        5.122046047730336,
        5.122067030448584,
        5.1220875362868705,
        5.122108519005118,
        5.122129501723364,
        5.122150484441612,
        5.122171467159859,
        5.122191972998146,
        5.122212955716393,
        5.122233938434641,
        5.122254921152888,
        5.122275903871135,
        5.122296409709422,
        5.12231739242767,
        5.122338375145916,
        5.1223593578641635,
        5.122380340582411,
        5.122400846420698,
        5.122421829138945,
        5.1224428118571925,
        5.12246379457544,
        5.122484300413727,
        5.122505283131974,
        5.122526265850221,
        5.122547248568468,
        5.122567754406755,
        5.122588737125002,
        5.12260971984325,
        5.122630702561497,
        5.122651208399784,
        5.122672191118031,
        5.122693173836279,
        5.122714156554526,
        5.122734662392813,
        5.12275564511106,
        5.122776627829307,
        5.122797133667594,
        5.122818116385841,
        5.122839099104088,
        5.122860081822336,
        5.122880587660623,
        5.12290157037887,
        5.122922553097117,
        5.122943058935404,
        5.122964041653652,
        5.122985024371899,
        5.123005530210186,
        5.123026512928433,
        5.12304749564668,
        5.123068001484968,
        5.123088984203214,
        5.1231099669214615,
        5.123130472759748,
        5.123151455477996,
        5.123172438196243,
        5.12319294403453,
        5.123213926752777,
        5.123234909471025,
        5.123255415309312,
        5.123276398027559,
        5.123297380745806,
        5.123317886584093,
        5.123338869302341,
        5.123359852020587,
        5.123380357858874,
        5.1234013405771215,
        5.123421846415408,
        5.123442829133656,
        5.123463811851903,
        5.12348431769019,
        5.123505300408437,
        5.123526283126685,
        5.123546788964972,
        5.123567771683219,
        5.123588277521506,
        5.123609260239753,
        5.123630242958001,
        5.123650748796288,
        5.123671731514535,
        5.123692237352822,
        5.123713220071069,
        5.123733725909356,
        5.123754708627604,
        5.12377569134585,
        5.123796197184137,
        5.123817179902384,
        5.123837685740671,
        5.123858668458919,
        5.123879174297206,
        5.123900157015453,
        5.1239211397337,
        5.123941645571987,
        5.123962628290235,
        5.123983134128522,
        5.124004116846769,
        5.124024622685056,
        5.124045605403303,
        5.12406611124159,
        5.1240870939598375,
        5.1241075997981245,
        5.124128582516372,
        5.124149088354659,
        5.124170071072906,
        5.1241910537911535,
        5.12421155962944,
        5.124232542347688,
        5.124253048185975,
        5.124274030904222,
        5.124294536742509,
        5.124315519460756,
        5.124336025299043,
        5.12435700801729,
        5.124377513855578,
        5.124398496573824,
        5.124419002412112,
        5.124439985130358,
        5.124460490968645,
        5.124480996806933,
        5.12450197952518,
        5.124522485363467,
        5.124543468081714,
        5.124563973920002,
        5.124584956638248,
        5.124605462476535,
        5.1246264451947825,
        5.124646951033069,
        5.124667933751317,
        5.124688439589604,
        5.124708945427891,
        5.124729928146138,
        5.124750433984425,
        5.124771416702672,
        5.124791922540959,
        5.124812905259207,
        5.124833411097494,
        5.124854393815741,
        5.124874899654028,
        5.124895405492315,
        5.124916388210562,
        5.124936894048849,
        5.1249578767670965,
        5.124978382605383,
        5.12499888844367,
        5.125019871161918,
        5.125040377000205,
        5.125061359718452,
        5.125081865556739,
        5.125102371395026,
        5.125123354113273,
        5.12514385995156,
        5.125164365789848,
        5.1251853485080945,
        5.125205854346382,
        5.125226837064629,
        5.125247342902916,
        5.125267848741204,
        5.12528883145945,
        5.125309337297738,
        5.125329843136025,
        5.125350825854271,
        5.125371331692559,
        5.125391837530846,
        5.125412820249093,
        5.12543332608738,
        5.125453831925667,
        5.125474814643915,
        5.125495320482202,
        5.1255158263204885,
        5.125536809038736,
        5.125557314877023,
        5.12557782071531,
        5.125598803433557,
        5.1257638038997735,
        5.12578430973806,
        5.125805292456308,
        5.125825798294595,
        5.125846304132882,
        5.125867286851129,
        5.125887792689416,
        5.125908298527703,
        5.125928804365991,
        5.125949787084237,
        5.125970292922524,
        5.125990798760812,
        5.126011304599099,
        5.126032287317346,
        5.126052793155633,
        5.12607329899392,
        5.126093804832207,
        5.1261147875504545,
        5.126135293388741,
        5.126155799227028,
        5.126176305065315,
        5.126197287783563,
        5.12621779362185,
        5.1262382994601365,
        5.1262588052984235,
        5.126279788016671,
        5.126300293854958,
        5.126320799693245,
        5.126341305531532,
        5.1263618113698195,
        5.126382794088066,
        5.126403299926354,
        5.126423805764641,
        5.126444311602928,
        5.126464817441215,
        5.126485800159462,
        5.126506305997749,
        5.126526811836036,
        5.126547317674323,
        5.12656782351261,
        5.126588329350897,
        5.126609312069144,
        5.126629817907431,
        5.126650323745718,
        5.126670829584005,
        5.126691335422293,
        5.12671184126058,
        5.126732823978827,
        5.126753329817114,
        5.126773835655401,
        5.126794341493688,
        5.126814847331975,
        5.126835353170262,
        5.126855859008549,
        5.126876841726796,
        5.126897347565083,
        5.12691785340337,
        5.126938359241657,
        5.126958865079945,
        5.126979370918232,
        5.126999876756519,
        5.1270203825948055,
        5.1270408884330925,
        5.12706187115134,
        5.127082376989627,
        5.127102882827914,
        5.127123388666201,
        5.127143894504488,
        5.1271644003427745,
        5.127184906181062,
        5.127205412019349,
        5.127225917857636,
        5.127246423695923,
        5.12726692953421,
        5.1272879122524575,
        5.1273084180907444,
        5.127328923929031,
        5.127349429767318,
        5.127369935605605,
        5.127390441443892,
        5.12741094728218,
        5.127431453120467,
        5.127451958958754,
        5.127472464797041,
        5.127492970635328,
        5.127513476473615,
        5.127533982311902,
        5.127554488150189,
        5.127574993988476,
        5.127595499826763,
        5.12761600566505,
        5.127636511503337,
        5.127657017341624,
        5.127677523179911,
        5.127698029018198,
        5.127718534856485,
        5.127739040694772,
        5.127759546533059,
        5.127780052371347,
        5.127800558209634,
        5.127821064047921,
        5.127841569886208,
        5.127862075724495,
        5.1278825815627815,
        5.1279030874010685,
        5.127923593239355,
        5.127944099077643,
        5.12796460491593,
        5.127985110754217,
        5.128005616592504,
        5.128026122430791,
        5.128046628269078,
        5.128067134107365,
        5.128087639945652,
        5.128108145783939,
        5.128128651622227,
        5.128149157460514,
        5.1281696632988005,
        5.1281901691370875,
        5.128210674975374,
        5.128231180813661,
        5.128251686651948,
        5.128271715610276,
        5.128292221448563,
        5.12831272728685,
        5.128333233125137,
        5.1283537389634235,
        5.1283742448017104,
        5.128394750639997,
        5.128415256478284,
        5.128435762316572,
        5.128456268154859,
        5.128476773993146,
        5.128496802951473,
        5.1285173087897595,
        5.1285378146280465,
        5.128558320466334,
        5.128578826304621,
        5.128599332142908,
        5.128619837981195,
        5.128640343819482,
        5.128660849657769,
        5.1286808786160965,
        5.128701384454383,
        5.12872189029267,
        5.128742396130957,
        5.128762901969244,
        5.128783407807531,
        5.128803913645818,
        5.1288239426041455,
        5.1288444484424325,
        5.128864954280719,
        5.128885460119006,
        5.128905965957293,
        5.12892647179558,
        5.128946500753908,
        5.128967006592195,
        5.128987512430482,
        5.1290080182687685,
        5.1290285241070555,
        5.129049029945342,
        5.12906905890367,
        5.129089564741957,
        5.129110070580244,
        5.129130576418531,
        5.129151082256818,
        5.129171111215144,
        5.129191617053432,
        5.129212122891719,
        5.129232628730006,
        5.129252657688332,
        5.129273163526619,
        5.129293669364906,
        5.129314175203193,
        5.129334681041481,
        5.129354709999808,
        5.1293752158380945,
        5.1293957216763815,
        5.129416227514668,
        5.129436256472996,
        5.129456762311283,
        5.12947726814957,
        5.129497773987857,
        5.129517802946183,
        5.129538308784471,
        5.129558814622758,
        5.129579320461045,
        5.1295993494193715,
        5.129619855257658,
        5.129640361095945,
        5.129660390054273,
        5.12968089589256,
        5.129701401730847,
        5.129721907569134,
        5.129741936527461,
        5.129762442365748,
        5.129782948204035,
        5.129802977162361,
        5.129823483000648,
        5.129843988838935,
        5.129864494677223,
        5.12988452363555,
        5.129905029473837,
        5.129925535312124,
        5.129945564270451,
        5.129966070108738,
        5.129986575947025,
        5.130006604905351,
        5.130027110743638,
        5.130047616581925,
        5.130067645540253,
        5.13008815137854,
        5.130108657216827,
        5.130128686175153,
        5.130149192013441,
        5.130169697851728,
        5.1301897268100545,
        5.130210232648341,
        5.130230261606669,
        5.130250767444956,
        5.130271273283243,
        5.130291302241569,
        5.130311808079856,
        5.130332313918143,
        5.130352342876471,
        5.1303728487147575,
        5.130392877673084,
        5.130413383511371,
        5.130433889349659,
        5.130453918307985,
        5.130799179399144,
        5.130819685237431,
        5.1308602200340445,
        5.130880248992372,
        5.130900754830659,
        5.130920783788985,
        5.130941289627272,
        5.1309613185856,
        5.130981824423887,
        5.131001853382213,
        5.131022359220501,
        5.131042388178828,
        5.131062894017115,
        5.131082922975441,
        5.131103428813729,
        5.1311234577720555,
        5.131143963610342,
        5.131163992568669,
        5.131184498406957,
        5.131204527365283,
        5.13122503320357,
        5.136580633596191,
        5.142787941597664,
        5.14283467583376,
        5.142858042951808,
        5.142904777187904,
        5.142928144305952,
        5.142974878542048,
        5.143021612778144,
        5.14306834701424,
        5.1430917141322885,
        5.143115081250336,
        5.143138448368385,
        5.143161338606472,
        5.143208072842568,
        5.1432314399606165,
        5.143254807078664,
        5.143278174196713,
        5.14330154131476,
        5.143324908432808,
        5.143348275550856,
        5.143371642668904,
        5.143417900025041,
        5.143441267143088,
        5.143464634261136,
        5.143488001379184,
        5.143511368497232,
        5.143558102733328,
        5.143604360089465,
        5.143627727207512,
        5.14365109432556,
        5.1436744614436085,
        5.143697828561656,
        5.143721195679705,
        5.143744562797752,
        5.14376745303584,
        5.143790820153888,
        5.143837554389984,
        5.143860921508033,
        5.143883811746121,
        5.143907178864168,
        5.144023537574449,
        5.144070271810544,
        5.144093162048632,
        5.144116529166681,
        5.1442095207589125,
        5.14423288787696,
        5.144302512351144,
        5.144325879469192,
        5.144372136825329,
        5.144441761299512,
        5.144511862653657,
        5.144534752891744,
        5.144558120009792,
        5.14458148712784,
        5.144674001840112,
        5.147533374081254,
        5.152251624407116,
        5.152274037765244,
        5.152296928003332,
        5.152364644957674,
        5.15240947167393,
        5.152432361912018,
        5.152477188628273,
        5.152500078866361,
        5.152522492224489,
        5.152544905582617,
        5.152567795820705,
        5.1525902091788325,
        5.15261262253696,
        5.152635512775047,
        5.152657926133175,
        5.152680339491303,
        5.152703229729391,
        5.152725643087519,
        5.152748056445646,
        5.152770469803774,
        5.152793360041862,
        5.15281577339999,
        5.1528381867581174,
        5.1528610769962055,
        5.152883490354333,
        5.152905903712461,
        5.152928317070589,
        5.152951207308676,
        5.1529736206668035,
        5.152996034024932,
        5.15301844738306,
        5.153041337621147,
        5.153063750979275,
        5.153086164337402,
        5.15310857769553,
        5.153131467933618,
        5.153153881291746,
        5.153176294649874,
        5.153198708008001,
        5.153221598246089,
        5.153244011604217,
        5.153266424962345,
        5.1532888383204725,
        5.1533112516786,
        5.153334141916688,
        5.153356555274816,
        5.153378968632944,
        5.153401381991071,
        5.153423795349199,
        5.153446685587286,
        5.153469098945414,
        5.153491512303542,
        5.153513925661669,
        5.153536339019797,
        5.153559229257885,
        5.153581642616013,
        5.1536040559741405,
        5.153626469332268,
        5.153648882690396,
        5.153671296048524,
        5.153693709406651,
        5.153716599644739,
        5.153739013002867,
        5.153761426360995,
        5.1537838397191225,
        5.15380625307725,
        5.153828666435378,
        5.1538510797935055,
        5.153873970031594,
        5.153896383389721,
        5.153918796747849,
        5.153941210105977,
        5.153963623464104,
        5.153986036822232,
        5.15400845018036,
        5.1540308635384875,
        5.154053276896615,
        5.154075690254743,
        5.154098580492831,
        5.154120993850959,
        5.154143407209086,
        5.154165820567214,
        5.154188233925342,
        5.1542106472834694,
        5.154233060641597,
        5.154255473999725,
        5.1542778873578525,
        5.15430030071598,
        5.154322714074108,
        5.154345127432236,
        5.154479607581002,
        5.1545020209391295,
        5.154524434297257,
        5.154546847655385,
        5.1545692610135125,
        5.1545921512516,
        5.1546145646097274,
        5.154636977967855,
        5.154659391325983,
        5.154681327804151,
        5.154703741162279,
        5.154726154520406,
        5.154748567878534,
        5.154770981236662,
        5.1547933945947895,
        5.154815807952917,
        5.154838221311045,
        5.1548606346691725,
        5.1548830480273,
        5.154905461385428,
        5.154927874743556,
        5.154950288101683,
        5.154972701459811,
        5.154995114817939,
        5.155017528176066,
        5.155039941534194,
        5.155062354892322,
        5.1550847682504495,
        5.155107181608577,
        5.155129594966705,
        5.155152008324833,
        5.155173944803,
        5.1551963581611275,
        5.155218771519255,
        5.155241184877383,
        5.155263598235511,
        5.155286011593638,
        5.155308424951766,
        5.155330838309894,
        5.155353251668021,
        5.155375665026149,
        5.155397601504317,
        5.155420014862445,
        5.155442428220573,
        5.1554648415787,
        5.155487254936828,
        5.155509668294956,
        5.155532081653083,
        5.155554495011211,
        5.155576431489378,
        5.155598844847506,
        5.155621258205634,
        5.1556436715637615,
        5.155666084921889,
        5.155688498280017,
        5.155710434758184,
        5.155732848116312,
        5.1557552614744395,
        5.155777674832567,
        5.155800088190695,
        5.155822501548823,
        5.155844438026991,
        5.1558668513851185,
        5.155889264743246,
        5.155911678101374,
        5.1559340914595015,
        5.155956027937669,
        5.1559784412957965,
        5.156000854653924,
        5.156023268012052,
        5.156045204490219,
        5.156067617848347,
        5.156090031206475,
        5.156112444564602,
        5.15613485792273,
        5.156156794400898,
        5.156179207759026,
        5.1562016211171535,
        5.156224034475281,
        5.1562459709534485,
        5.156268384311576,
        5.156290797669704,
        5.156313211027832,
        5.156335147505999,
        5.1563575608641266,
        5.156379974222254,
        5.156402387580382,
        5.15642432405855,
        5.156446737416678,
        5.1564691507748055,
        5.156491087252973,
        5.1565135006111005,
        5.156535913969228,
        5.156558327327356,
        5.156580263805523,
        5.156602677163651,
        5.1566250905217785,
        5.156647026999947,
        5.156669440358074,
        5.156691853716202,
        5.156713790194369,
        5.156736203552497,
        5.156758616910625,
        5.156780553388792,
        5.15680296674692,
        5.156825380105047,
        5.156847316583215,
        5.156869729941342,
        5.15689214329947,
        5.156914079777638,
        5.156936493135766,
        5.156958906493894,
        5.156980842972061,
        5.157003256330189,
        5.157025669688316,
        5.157047606166484,
        5.157070019524611,
        5.1570919560027795,
        5.157114369360907,
        5.157136782719035,
        5.157158719197202,
        5.15718113255533,
        5.157203069033497,
        5.157225482391625,
        5.1572478957497525,
        5.157269832227921,
        5.157292245586048,
        5.157314182064216,
        5.157336595422343,
        5.157359008780471,
        5.157380945258638,
        5.157403358616766,
        5.157425295094933,
        5.157447708453062,
        5.157469644931229,
        5.157492058289357,
        5.1575144716474846,
        5.157536408125652,
        5.1575588214837795,
        5.157580757961947,
        5.1576031713200745,
        5.157625107798243,
        5.15764752115637,
        5.157669457634538,
        5.157691870992665,
        5.157713807470833,
        5.15773622082896,
        5.1577581573071285,
        5.157780570665256,
        5.157802984023384,
        5.157824920501551,
        5.157847333859679,
        5.157869270337846,
        5.157891683695974,
        5.157913620174141,
        5.157936033532269,
        5.157957970010437,
        5.157980383368565,
        5.158002319846732,
        5.158024256324899,
        5.158046669683027,
        5.158068606161195,
        5.158091019519323,
        5.15811295599749,
        5.158135369355618,
        5.158157305833785,
        5.158179719191913,
        5.158201655670081,
        5.158224069028209,
        5.158246005506376,
        5.158268418864504,
        5.158290355342671,
        5.158312291820838,
        5.158334705178966,
        5.158356641657134,
        5.158379055015262,
        5.158400991493429,
        5.158423404851557,
        5.158445341329724,
        5.158467277807892,
        5.15848969116602,
        5.158511627644187,
        5.158534041002315,
        5.158555977480482,
        5.158577913958649,
        5.158600327316777,
        5.158622263794945,
        5.158644677153073,
        5.15866661363124,
        5.1586885501094075,
        5.158710963467535,
        5.158732899945703,
        5.158754836423871,
        5.158777249781998,
        5.158799186260166,
        5.158821599618293,
        5.1588435360964615,
        5.158865472574629,
        5.1588878859327565,
        5.158909822410924,
        5.158931758889091,
        5.158954172247219,
        5.158976108725387,
        5.158998045203554,
        5.159020458561682,
        5.159042395039849,
        5.159064331518017,
        5.159086744876145,
        5.159108681354312,
        5.15913061783248,
        5.159153031190607,
        5.159174967668775,
        5.159196904146943,
        5.1592193175050705,
        5.159241253983238,
        5.159263190461405,
        5.159285126939573,
        5.159307540297701,
        5.159329476775868,
        5.1593514132540355,
        5.159373826612163,
        5.15939576309033,
        5.159417699568499,
        5.159439636046666,
        5.159462049404794,
        5.159483985882961,
        5.159505922361129,
        5.159527858839296,
        5.159550272197424,
        5.159572208675591,
        5.1595941451537595,
        5.159616081631927,
        5.1596384949900544,
        5.159660431468222,
        5.159682367946389,
        5.159704304424557,
        5.159726717782685,
        5.159748654260852,
        5.1597705907390194,
        5.159792527217188,
        5.159814463695355,
        5.159836877053483,
        5.15985881353165,
        5.159880750009817,
        5.159902686487985,
        5.159924622966153,
        5.15994703632428,
        5.159968972802448,
        5.159990909280616,
        5.160012845758783,
        5.16003478223695,
        5.160057195595078,
        5.160079132073245,
        5.1601010685514135,
        5.160123005029581,
        5.160144941507748,
        5.160166877985916,
        5.160189291344044,
        5.160211227822211,
        5.1602331643003785,
        5.160255100778546,
        5.160277037256714,
        5.160298973734881,
        5.1603209102130485,
        5.160343323571176,
        5.160365260049344,
        5.160387196527512,
        5.160409133005679,
        5.160431069483846,
        5.160453005962014,
        5.160474942440182,
        5.160496878918349,
        5.160607038189147,
        5.160628974667315,
        5.160650911145482,
        5.160672847623649,
        5.160694784101818,
        5.160716720579985,
        5.160738657058152,
        5.16076107041628,
        5.160783006894448,
        5.160804943372615,
        5.160826879850783,
        5.16084881632895,
        5.160870752807118,
        5.160892689285285,
        5.160914625763453,
        5.160936562241621,
        5.160958498719788,
        5.160980435197955,
        5.161002371676123,
        5.161024308154291,
        5.161046244632458,
        5.161068181110625,
        5.1610901175887935,
        5.161112054066961,
        5.161133990545128,
        5.161155927023295,
        5.161177863501464,
        5.161199799979631,
        5.161221736457798,
        5.161243672935966,
        5.161265609414134,
        5.161287545892301,
        5.161309482370468,
        5.161331418848636,
        5.161353355326804,
        5.161375291804971,
        5.161397228283139,
        5.161419164761306,
        5.161441101239474,
        5.161463037717641,
        5.161484974195809,
        5.161506910673976,
        5.161528847152144,
        5.161550783630312,
        5.161572720108479,
        5.161594656586646,
        5.161616593064814,
        5.161638529542982,
        5.161660466021149,
        5.161682402499316,
        5.161704338977485,
        5.161726275455652,
        5.161748211933819,
        5.1617701484119864,
        5.161791608010194,
        5.1618135444883615,
        5.16183548096653,
        5.161857417444697,
        5.161879353922864,
        5.1619012904010315,
        5.1619232268792,
        5.161945163357367,
        5.161967099835534,
        5.161989036313702,
        5.16201097279187,
        5.162032432390077,
        5.162054368868245,
        5.162076305346412,
        5.162098241824579,
        5.1621201783027475,
        5.162142114780915,
        5.162164051259082,
        5.162185987737249,
        5.162207447335457,
        5.162229383813624,
        5.162251320291793,
        5.16227325676996,
        5.162295193248127,
        5.162317129726294,
        5.162339066204463,
        5.1623605258026695,
        5.162382462280838,
        5.162404398759005,
        5.162426335237172,
        5.1624482717153395,
        5.162470208193508,
        5.1624916677917145,
        5.162513604269883,
        5.16253554074805,
        5.162557477226217,
        5.162579413704385,
        5.162600873302592,
        5.16262280978076,
        5.162644746258928,
        5.162666682737095,
        5.162688619215262,
        5.16271007881347,
        5.162732015291637,
        5.162753951769805,
        5.162775888247973,
        5.16279782472614,
        5.162819284324347,
        5.162841220802515,
        5.1628631572806825,
        5.16288509375885,
        5.1629065533570575,
        5.162928489835225,
        5.162950426313392,
        5.16297236279156,
        5.162993822389767,
        5.163015758867934,
        5.163037695346103,
        5.16305963182427,
        5.163081091422478,
        5.163103027900645,
        5.163124964378812,
        5.1631469008569795,
        5.163168360455187,
        5.1631902969333545,
        5.163212233411523,
        5.16323369300973,
        5.163255629487897,
        5.163277565966065,
        5.163299502444232,
        5.16332096204244,
        5.163342898520607,
        5.163364834998775,
        5.163386294596982,
        5.16340823107515,
        5.163430167553317,
        5.163451627151525,
        5.163473563629692,
        5.163495500107859,
        5.163516959706067,
        5.163538896184234,
        5.1635608326624025,
        5.163582292260609,
        5.163604228738777,
        5.163626165216945,
        5.163647624815152,
        5.16366956129332,
        5.163691497771487,
        5.163712957369694,
        5.163734893847862,
        5.1637568303260295,
        5.163778289924237,
        5.1638002264024045,
        5.163822162880572,
        5.16384362247878,
        5.163865558956947,
        5.163887018555155,
        5.163908955033322,
        5.163930891511489,
        5.163952351109697,
        5.163974287587864,
        5.163995747186072,
        5.164017683664239,
        5.164039620142407,
        5.164061079740614,
        5.164083016218782,
        5.164104475816989,
        5.164126412295157,
        5.164148348773324,
        5.164169808371532,
        5.164191744849699,
        5.164213204447907,
        5.164235140926074,
        5.164257077404241,
        5.164278537002449,
        5.164300473480616,
        5.164321933078823,
        5.164343869556991,
        5.164365329155198,
        5.1643872656333665,
        5.164408725231573,
        5.164430661709741,
        5.164452121307948,
        5.164474057786116,
        5.164495994264284,
        5.164517453862491,
        5.164539390340658,
        5.164560849938866,
        5.164582786417033,
        5.164604246015241,
        5.164626182493408,
        5.164647642091616,
        5.164669578569783,
        5.164691038167991,
        5.164712974646158,
        5.164734434244365,
        5.164756370722533,
        5.16477783032074,
        5.164799766798908,
        5.164821226397115,
        5.1648431628752824,
        5.16486462247349,
        5.1648865589516575,
        5.164908018549865,
        5.1649299550280325,
        5.16495141462624,
        5.164973351104408,
        5.164994810702615,
        5.165016270300822,
        5.1650382067789895,
        5.165059666377197,
        5.1650816028553646,
        5.165103062453572,
        5.16512499893174,
        5.165146458529947,
        5.165168395008115,
        5.1651898546063215,
        5.165211314204529,
        5.165233250682697,
        5.165254710280904,
        5.165276646759072,
        5.165298106357279,
        5.165320042835447,
        5.165341502433654,
        5.165362962031861,
        5.165384898510029,
        5.165406358108236,
        5.165428294586404,
        5.165449754184611,
        5.165471213782818,
        5.165493150260986,
        5.165514609859193,
        5.1655365463373615,
        5.165558005935568,
        5.165579465533776,
        5.165601402011943,
        5.165622861610151,
        5.165644321208358,
        5.165666257686525,
        5.165687717284733,
        5.1657096537629,
        5.165731113361108,
        5.165752572959315,
        5.165774509437483,
        5.16579596903569,
        5.165817428633898,
        5.165839365112065,
        5.165860824710273,
        5.16588228430848,
        5.165904220786647,
        5.165925680384855,
        5.1659471399830625,
        5.16596907646123,
        5.165990536059437,
        5.1660119956576445,
        5.166033932135812,
        5.1660553917340195,
        5.166076851332226,
        5.1660987878103946,
        5.166120247408601,
        5.166141707006809,
        5.166163166605016,
        5.166185103083184,
        5.166206562681391,
        5.166228022279599,
        5.166249958757766,
        5.166271418355974,
        5.166292877954181,
        5.166314337552389,
        5.166336274030556,
        5.166357733628764,
        5.1663791932269705,
        5.166400652825178,
        5.1664225893033455,
        5.166444048901553,
        5.16646550849976,
        5.166486968097968,
        5.166508904576135,
        5.166530364174343,
        5.16655182377255,
        5.166573283370758,
        5.166595219848925,
        5.166616679447133,
        5.1666381390453395,
        5.166659598643547,
        5.166681535121715,
        5.166702994719922,
        5.166724454318129,
        5.166745913916337,
        5.166767373514544,
        5.166789309992712,
        5.166810769590919,
        5.166832229189127,
        5.1668536887873335,
        5.166875148385541,
        5.166897084863709,
        5.166918544461916,
        5.166940004060123,
        5.166961463658331,
        5.166982923256538,
        5.167004859734706,
        5.167026319332913,
        5.167047778931121,
        5.1670692385293275,
        5.167090698127535,
        5.167112157725742,
        5.16713409420391,
        5.167155553802117,
        5.167177013400325,
        5.167198472998532,
        5.16721993259674,
        5.167241392194947,
        5.167262851793154,
        5.1672847882713215,
        5.167306247869529,
        5.167327707467736,
        5.167349167065944,
        5.167370626664152,
        5.167392086262359,
        5.167413545860566,
        5.167435005458773,
        5.167456941936941,
        5.167478401535148,
        5.167499861133356,
        5.167521320731563,
        5.167542780329771,
        5.1675642399279775,
        5.167585699526185,
        5.167607159124393,
        5.1676286187226,
        5.167650078320808,
        5.167672014798975,
        5.167693474397182,
        5.16771493399539,
        5.167736393593597,
        5.167757853191804,
        5.167779312790012,
        5.167800772388219,
        5.167822231986427,
        5.1678436915846335,
        5.167865151182841,
        5.167886610781049,
        5.167908070379256,
        5.167929529977464,
        5.167950989575671,
        5.167972449173878,
        5.167993908772085,
        5.168015368370293,
        5.16803730484846,
        5.168058764446668,
        5.168080224044875,
        5.168101683643083,
        5.1681231432412895,
        5.168144602839497,
        5.168166062437705,
        5.168187522035912,
        5.16820898163412,
        5.1682304412323266,
        5.168251900830534,
        5.168273360428741,
        5.168294820026949,
        5.168316279625157,
        5.168337739223364,
        5.168359198821571,
        5.168380658419778,
        5.168402118017986,
        5.168423577616193,
        5.168445037214401,
        5.1684664968126075,
        5.168487479530855,
        5.168508939129063,
        5.1685303987272695,
        5.168551858325477,
        5.168573317923685,
        5.168594777521892,
        5.1686162371201,
        5.1686376967183065,
        5.168659156316514,
        5.168680615914721,
        5.168702075512929,
        5.168723535111137,
        5.168744994709344,
        5.168766454307551,
        5.168787913905758,
        5.168809373503966,
        5.168830833102173,
        5.16885181582042,
        5.168873275418628,
        5.168894735016835,
        5.168916194615043,
        5.1689376542132495,
        5.168959113811457,
        5.168980573409665,
        5.169002033007872,
        5.16902349260608,
        5.1690449522042865,
        5.169065934922534,
        5.169087394520742,
        5.1691088541189485,
        5.169130313717156,
        5.169151773315363,
        5.169173232913571,
        5.169194692511778,
        5.1692161521099855,
        5.169237134828233,
        5.16925859442644,
        5.1692800540246475,
        5.169301513622855,
        5.169322973221062,
        5.16934443281927,
        5.169365892417477,
        5.169386875135724,
        5.169408334733932,
        5.169429794332139,
        5.1694512539303465,
        5.169472713528553,
        5.169494173126761,
        5.1695151558450085,
        5.169536615443215,
        5.169558075041423,
        5.16957953463963,
        5.169600994237838,
        5.169621976956085,
        5.169643436554292,
        5.1696648961525,
        5.169686355750708,
        5.169707815348914,
        5.169728798067162,
        5.169750257665369,
        5.169771717263576,
        5.169793176861784,
        5.169814636459991,
        5.169835619178238,
        5.169857078776446,
        5.169878538374653,
        5.169899997972861,
        5.169920980691108,
        5.169942440289315,
        5.169963899887523,
        5.16998535948573,
        5.170006819083937,
        5.170027801802185,
        5.170049261400392,
        5.170070720998599,
        5.170091703716847,
        5.170113163315054,
        5.170134622913261,
        5.170156082511468,
        5.170177065229716,
        5.170198524827923,
        5.17021998442613,
        5.170241444024338,
        5.170262426742585,
        5.170283886340792,
        5.170305345939,
        5.170326328657247,
        5.170347788255454,
        5.170369247853662,
        5.170390707451869,
        5.170411690170116,
        5.170433149768324,
        5.170454609366531,
        5.170475592084778,
        5.170497051682986,
        5.170518511281193,
        5.17053949399944,
        5.170560953597648,
        5.170582413195855,
        5.170603395914102,
        5.17062485551231,
        5.170646315110517,
        5.170667297828764,
        5.170688757426972,
        5.170710217025179,
        5.170731199743426,
        5.170752659341634,
        5.170774118939841,
        5.170795101658088,
        5.170816561256295,
        5.170838020854503,
        5.17085900357275,
        5.170880463170957,
        5.170901445889204,
        5.170922905487412,
        5.170944365085619,
        5.170965347803866,
        5.170986807402074,
        5.171008267000281,
        5.171029249718528,
        5.171050709316736,
        5.1710716920349835,
        5.17109315163319,
        5.171114611231398,
        5.1711355939496455,
        5.171157053547852,
        5.1711780362661,
        5.1711994958643075,
        5.171220955462514,
        5.171241938180762,
        5.1712633977789695,
        5.171284380497216,
        5.171305840095424,
        5.171326822813671,
        5.171348282411878,
        5.171369742010086,
        5.171390724728333,
        5.17141218432654,
        5.171433167044787,
        5.171454626642995,
        5.171475609361242,
        5.171497068959449,
        5.171518051677697,
        5.1715395112759035,
        5.171560493994151,
        5.171581953592359,
        5.1716034131905655,
        5.171624395908813,
        5.171645855507021,
        5.171666838225268,
        5.171688297823475,
        5.171709280541722,
        5.17173074013993,
        5.171751722858177,
        5.171773182456384,
        5.1717941651746315,
        5.171815624772838,
        5.171836607491086,
        5.1718580670892935,
        5.171879049807541,
        5.171900509405748,
        5.171921492123995,
        5.171942951722203,
        5.17196393444045,
        5.171985394038657,
        5.172048819073359,
        5.172069801791606,
        5.172091261389814,
        5.172112244108061,
        5.172133703706268,
        5.172154686424515,
        5.172176146022723,
        5.17219712874097,
        5.172218588339177,
        5.172239571057425,
        5.172260553775672,
        5.172282013373879,
        5.1723454384085805,
        5.172536190392647,
        5.173154226821018,
        5.175213394489006,
        5.175255359925501,
        5.175276342643748,
        5.175297325361996,
        5.175318308080242,
        5.175339290798489,
        5.175360273516737,
        5.175381256234984,
        5.1754022389532315,
        5.175423221671479,
        5.175444204389726,
        5.175465187107973,
        5.17548616982622,
        5.175507152544467,
        5.175528135262715,
        5.175549117980962,
        5.175570100699209,
        5.175591083417456,
        5.175612066135703,
        5.175633048853951,
        5.175654031572198,
        5.175675014290445,
        5.175695997008693,
        5.175716979726939,
        5.175737485565227,
        5.175758468283473,
        5.175779451001721,
        5.175800433719968,
        5.1758214164382155,
        5.175842399156463,
        5.17586338187471,
        5.175884364592957,
        5.175905347311204,
        5.175926330029451,
        5.175947312747699,
        5.175968295465946,
        5.175989278184193,
        5.17600978402248,
        5.176261099761486,
        5.176282082479734,
        5.176303065197981,
        5.1763240479162285,
        5.176344553754515,
        5.176365536472763,
        5.176386519191009,
        5.176407501909257,
        5.176428484627504,
        5.176449467345751,
        5.176470450063999,
        5.176490955902286,
        5.176511938620533,
        5.17653292133878,
        5.176553904057027,
        5.176574886775274,
        5.1765958694935215,
        5.176616375331808,
        5.176637358050056,
        5.176658340768303,
        5.1766793234865505,
        5.176700306204798,
        5.176720812043085,
        5.176741794761331,
        5.176762777479579,
        5.176783760197826,
        5.176804742916073,
        5.17682524875436,
        5.176846231472608,
        5.176867214190855,
        5.176888196909102,
        5.176908702747389,
        5.176929685465637,
        5.176950668183883,
        5.17697165090213,
        5.176992633620378,
        5.177013139458665,
        5.177034122176912,
        5.177055104895159,
        5.177076087613407,
        5.177096593451694,
        5.177117576169941,
        5.177138558888188,
        5.177159541606435,
        5.177180047444722,
        5.177201030162969,
        5.1772220128812165,
        5.1772425187195035,
        5.177263501437751,
        5.177284484155998,
        5.1773054668742455,
        5.1773259727125325,
        5.17734695543078,
        5.177367938149027,
        5.177388443987314,
        5.1774094267055615,
        5.177430409423808,
        5.177451392142055,
        5.177471897980342,
        5.17749288069859,
        5.177513863416837,
        5.177534369255124,
        5.177555351973371,
        5.177576334691619,
        5.1775968405299055,
        5.177617823248153,
        5.1776388059664,
        5.177659311804687,
        5.1776802945229345,
        5.177701277241181,
        5.177721783079469,
        5.177742765797715,
        5.177763748515963,
        5.17778425435425,
        5.177805237072497,
        5.177826219790744,
        5.177846725629031,
        5.177867708347279,
        5.1778882141855656,
        5.177909196903813,
        5.17793017962206,
        5.177950685460347,
        5.1779716681785946,
        5.177992650896842,
        5.178013156735129,
        5.178034139453375,
        5.178054645291663,
        5.17807562800991,
        5.178096610728157,
        5.178117116566444,
        5.178138099284691,
        5.178158605122978,
        5.178179587841226,
        5.178200570559473,
        5.17822107639776,
        5.178242059116007,
        5.178262564954294,
        5.1782835476725415,
        5.1783040535108285,
        5.178325036229076,
        5.178346018947323,
        5.17836652478561,
        5.1783875075038575,
        5.178408013342144,
        5.178428996060392,
        5.178449501898679,
        5.178470484616926,
        5.178490990455213,
        5.17851197317346,
        5.178532955891707,
        5.178553461729995,
        5.178574444448241,
        5.178594950286528,
        5.178615933004775,
        5.178636438843062,
        5.17865742156131,
        5.178677927399597,
        5.178698910117844,
        5.178719415956131,
        5.178740398674378,
        5.178760904512665,
        5.178781887230913,
        5.1788023930691995,
        5.178823375787447,
        5.178843881625734,
        5.178864864343981,
        5.178885370182268,
        5.1789063529005155,
        5.178926858738802,
        5.17894784145705,
        5.178968347295337,
        5.178989330013584,
        5.179009835851871,
        5.179030818570118,
        5.179051324408405,
        5.179071830246692,
        5.17909281296494,
        5.179113318803227,
        5.179134301521474,
        5.179154807359761,
        5.179175790078008,
        5.179196295916295,
        5.1792172786345425,
        5.1792377844728295,
        5.179258290311116,
        5.179279273029364,
        5.179299778867651,
        5.179320761585898,
        5.179341267424185,
        5.179362250142432,
        5.179382755980719,
        5.179403261819006,
        5.179424244537254,
        5.1794447503755405,
        5.179465733093788,
        5.179486238932075,
        5.179506744770362,
        5.179527727488609,
        5.179548233326896,
        5.179569216045143,
        5.17958972188343,
        5.179610227721717,
        5.179631210439965,
        5.179651716278252,
        5.1796722221165385,
        5.179693204834786,
        5.179713710673073,
        5.17973469339132,
        5.179755199229607,
        5.179775705067894,
        5.179796687786141,
        5.179817193624428,
        5.179837699462715,
        5.179858682180963,
        5.17987918801925,
        5.179899693857537,
        5.179920676575784,
        5.179941182414071,
        5.179961688252358,
        5.179982670970605,
        5.180003176808892,
        5.180023682647179,
        5.180044665365426,
        5.180065171203713,
        5.180085677042001,
        5.180106659760248,
        5.180127165598535,
        5.180147671436822,
        5.180168177275109,
        5.180189159993357,
        5.180209665831644,
        5.180230171669931,
        5.180251154388178,
        5.180271660226465,
        5.180292166064752,
        5.180312671903039,
        5.180333654621286,
        5.180354160459573,
        5.18037466629786,
        5.180395649016107,
        5.180416154854394,
        5.180436660692681,
        5.180457166530968,
        5.180478149249216,
        5.1804986550875025,
        5.1805191609257895,
        5.180539666764076,
        5.180560649482324,
        5.180581155320611,
        5.180601661158898,
        5.1806221669971855,
        5.180642672835472,
        5.18066365555372,
        5.180684161392007,
        5.180704667230294,
        5.180725173068581,
        5.180746155786828,
        5.180766661625115,
        5.180787167463402,
        5.180807673301689,
        5.180828179139976,
        5.180849161858223,
        5.18086966769651,
        5.180890173534797,
        5.180910679373084,
        5.180931185211371,
        5.180951691049659,
        5.180972673767905,
        5.180993179606193,
        5.18101368544448,
        5.181034191282767,
        5.181054697121054,
        5.181075202959341,
        5.181096185677588,
        5.181116691515875,
        5.181137197354162,
        5.181157703192449,
        5.181178209030736,
        5.181198714869023,
        5.18121969758727,
        5.181240203425557,
        5.181260709263845,
        5.181281215102132,
        5.181301720940419,
        5.181322226778706,
        5.181342732616993,
        5.18136323845528,
        5.181384221173527,
        5.181404727011814,
        5.181425232850101,
        5.181445738688388,
        5.181466244526675,
        5.181486750364963,
        5.18150725620325,
        5.1815277620415365,
        5.1815482678798235,
        5.18156877371811,
        5.181589756436358,
        5.181610262274645,
        5.181630768112932,
        5.181651273951219,
        5.1816717797895055,
        5.1816922856277925,
        5.181712791466079,
        5.181733297304367,
        5.181753803142654,
        5.181774308980941,
        5.181794814819228,
        5.181815320657515,
        5.181835826495802,
        5.181856332334089,
        5.181876838172376,
        5.181897344010664,
        5.181917849848951,
        5.181938355687238,
        5.181959338405485,
        5.181979844243772,
        5.182000350082059,
        5.182020855920346,
        5.182041361758633,
        5.18206186759692,
        5.182082373435207,
        5.182102879273494,
        5.182123385111781,
        5.182143890950068,
        5.182164396788355,
        5.182184902626642,
        5.182205408464929,
        5.182225914303216,
        5.182246420141503,
        5.18226692597979,
        5.182287431818077,
        5.182307937656365,
        5.182328443494652,
        5.182348472452978,
        5.182368978291265,
        5.182389484129552,
        5.182409989967839,
        5.182430495806127,
        5.185970852630383,
        5.190453524255924,
        5.190477368253932,
        5.1905016891319,
        5.190525533129908,
        5.190549377127916,
        5.190573698005885,
        5.190597542003893,
        5.190669550877878,
        5.190693394875886,
        5.190717715753855,
        5.190741559751863,
        5.190765403749871,
        5.190789247747879,
        5.190813568625847,
        5.190837412623855,
        5.190861256621863,
        5.190885100619872,
        5.190909421497841,
        5.190933265495849,
        5.190957109493857,
        5.190980953491865,
        5.191005274369833,
        5.191029118367841,
        5.191052962365849,
        5.191076806363858,
        5.191101127241826,
        5.191124971239835,
        5.191148815237843,
        5.191172659235851,
        5.191196503233859,
        5.191220824111827,
        5.191244668109835,
        5.191268512107843,
        5.191292356105852,
        5.19131620010386,
        5.191340520981829,
        5.191364364979837,
        5.191388208977845,
        5.191412052975853,
        5.191435896973861,
        5.19145974097187,
        5.191484061849837,
        5.191507905847846,
        5.191531749845854,
        5.191555593843862,
        5.19157943784187,
        5.191603281839878,
        5.191627125837887,
        5.191650969835895,
        5.191675290713864,
        5.191699134711872,
        5.19172297870988,
        5.191746822707888,
        5.191770666705896,
        5.191866042697929,
        5.191889886695937,
        5.191961895569922,
        5.19198573956793,
        5.192009583565938,
        5.192033427563946,
        5.192057271561954,
        5.192081115559962,
        5.192104959557971,
        5.192128803555979,
        5.192152647553987,
        5.1921764915519955,
        5.1922003355500035,
        5.192224179548012,
        5.19224802354602,
        5.1922718675440285,
        5.1922957115420365,
        5.1923195555400445,
        5.192343399538053,
        5.1923672435360615,
        5.1923910875340695,
        5.192414931532078,
        5.192438775530086,
        5.192462619528094,
        5.1924864635261025,
        5.192510307524111,
        5.192534151522119,
        5.192557518640166,
        5.192581362638175,
        5.192605206636183,
        5.192629050634191,
        5.192652894632199,
        5.192676738630207,
        5.192700582628215,
        5.192724426626224,
        5.192748270624232,
        5.19277211462224,
        5.192795958620248,
        5.192819802618256,
        5.192843169736305,
        5.192867013734313,
        5.192890857732321,
        5.192914701730329,
        5.192938545728338,
        5.192962389726346,
        5.192986233724354,
        5.193010077722362,
        5.1930334448404105,
        5.1930572888384186,
        5.193081132836427,
        5.193104976834435,
        5.193128820832443,
        5.193152664830451,
        5.193176031948499,
        5.193199875946507,
        5.193223719944515,
        5.193247563942523,
        5.193271407940532,
        5.19329525193854,
        5.193318619056588,
        5.193342463054596,
        5.193366307052605,
        5.193390151050613,
        5.193413995048621,
        5.1934373621666685,
        5.193461206164677,
        5.1934850501626855,
        5.1935088941606935,
        5.193532261278741,
        5.19355610527675,
        5.193579949274758,
        5.193603793272766,
        5.193627160390814,
        5.193651004388823,
        5.193674848386831,
        5.193698692384839,
        5.193722059502886,
        5.193745903500895,
        5.193769747498903,
        5.193793114616951,
        5.193816958614959,
        5.193840802612968,
        5.193864646610976,
        5.1938880137290235,
        5.193911857727032,
        5.1939357017250405,
        5.193959068843088,
        5.193982912841096,
        5.194006756839104,
        5.194030123957153,
        5.194053967955161,
        5.194077811953169,
        5.194101179071217,
        5.194125023069225,
        5.194148867067233,
        5.194172234185282,
        5.19419607818329,
        5.194219922181298,
        5.1942432892993455,
        5.1942671332973545,
        5.194290500415402,
        5.19431434441341,
        5.194338188411418,
        5.194361555529467,
        5.194385399527475,
        5.194409243525483,
        5.194432610643531,
        5.194456454641539,
        5.194479821759587,
        5.194503665757595,
        5.194527032875643,
        5.1945508768736515,
        5.1945747208716595,
        5.194598087989708,
        5.194621931987716,
        5.194645299105764,
        5.194669143103773,
        5.19469251022182,
        5.194716354219828,
        5.194739721337877,
        5.194763565335885,
        5.194787409333893,
        5.1948107764519404,
        5.194834620449949,
        5.194857987567997,
        5.194881831566005,
        5.1949051986840535,
        5.194929042682062,
        5.19507067603023,
        5.195117887146286,
        5.1951412542643345,
        5.195188465380391,
        5.195211832498439,
        5.195259043614495,
        5.195282887612503,
        5.195306254730551,
        5.195330098728559,
        5.195353465846607,
        5.195376832964655,
        5.195400676962664,
        5.195424044080712,
        5.19544788807872,
        5.195471255196768,
        5.195495099194776,
        5.195518466312824,
        5.195541833430872,
        5.19556567742888,
        5.195589044546928,
        5.1956124116649764,
        5.1956362556629845,
        5.195659622781033,
        5.195683466779041,
        5.195706833897089,
        5.195730201015137,
        5.195754045013145,
        5.195777412131193,
        5.195800779249241,
        5.195824623247249,
        5.195847990365297,
        5.1958713574833455,
        5.196177037537811,
        5.196200881535819,
        5.196224248653866,
        5.196247615771915,
        5.196271459769923,
        5.196365405122075,
        5.196388772240123,
        5.196412139358171,
        5.196458873594267,
        5.1965060847103235,
        5.19655281894642,
        5.196576662944428,
        5.196600030062475,
        5.196623397180524,
        5.196646764298571,
        5.19667013141662,
        5.196693975414628,
        5.1967173425326765,
        5.196740709650724,
        5.196764076768772,
        5.196810811004868,
        5.196858022120924,
        5.196881389238972,
        5.1969047563570205,
        5.196975334591125,
        5.196998701709172,
        5.197186115533517,
        5.197419786713997,
        5.200136810287031,
        5.20519817574423,
        5.205243479340446,
        5.205312150054709,
        5.205471427961404,
        5.205494318199492,
        5.205562512033795,
        5.205584925391923,
        5.205630705868099,
        5.205653119226227,
        5.205698899702402,
        5.20572178994049,
        5.205744203298618,
        5.205767093536706,
        5.205789983774793,
        5.205812397132921,
        5.205835287371009,
        5.205858177609097,
        5.205880590967225,
        5.205903481205313,
        5.2059263714434,
        5.205948784801528,
        5.205994088397744,
        5.206016978635832,
        5.20603986887392,
        5.206062282232048,
        5.206108062708223,
        5.206130476066351,
        5.206153366304439,
        5.206357470927388,
        5.206584465788427,
        5.206629769384643,
        5.20665218274277,
        5.2066750729808575,
        5.206697963218946,
        5.206720376577073,
        5.206743266815161,
        5.206765680173289,
        5.206788570411377,
        5.206833874007592,
        5.20685628736572,
        5.206879177603808,
        5.206924481200024,
        5.206946894558151,
        5.2069697847962395,
        5.206992198154367,
        5.207015088392454,
        5.207037501750582,
        5.20706039198867,
        5.207082805346798,
        5.207105218704926,
        5.207128108943014,
        5.207150522301141,
        5.2071734125392295,
        5.207195825897357,
        5.207241129493572,
        5.20726401973166,
        5.207286433089788,
        5.207309323327876,
        5.207331736686004,
        5.207354150044131,
        5.2073770402822195,
        5.207399453640347,
        5.207422343878434,
        5.207444757236562,
        5.20746717059469,
        5.207490060832778,
        5.207512474190906,
        5.207535364428994,
        5.207557777787121,
        5.2075806680252095,
        5.207603081383337,
        5.207625494741465,
        5.207648384979552,
        5.2076932116958075,
        5.207716101933896,
        5.207738515292023,
        5.207761405530111,
        5.207783818888239,
        5.207806232246367,
        5.2078515358425825,
        5.20787394920071,
        5.207896839438797,
        5.207919252796925,
        5.207941666155053,
        5.207964556393141,
        5.207986969751269,
        5.208032273347484,
        5.208122403659956,
        5.2081677072561705,
        5.208190120614298,
        5.208234947330554,
        5.208730902489124,
        5.208843446159723,
        5.208865859517851,
        5.208933576472194,
        5.208955989830322,
        5.2090008165465775,
        5.209023229904705,
        5.209090946859048,
        5.2091133602171755,
        5.212456527177904,
        5.218594210705194,
        5.218812144846988,
        5.219052015466951,
        5.219073951945119,
        5.219095888423286,
        5.219161220977829,
        5.219204617054204,
        5.219226553532371,
        5.219248490010538,
        5.219269949608746,
        5.219291886086913,
        5.2193138225650815,
        5.219335282163288,
        5.219357218641456,
        5.219400614717831,
        5.219422551195999,
        5.219444010794206,
        5.219465947272373,
        5.219509343348748,
        5.219531279826916,
        5.2195532163050835,
        5.21957467590329,
        5.2195966123814586,
        5.219618071979665,
        5.219640008457834,
        5.219661944936001,
        5.219683404534208,
        5.219705341012376,
        5.219727277490543,
        5.21974873708875,
        5.219792133165125,
        5.219814069643293,
        5.219836006121461,
        5.2198574657196675,
        5.219879402197836,
        5.219922798274211,
        5.219966194350585,
        5.219988130828753,
        5.22000959042696,
        5.220031526905128,
        5.220052986503335,
        5.22009638257971,
        5.220118319057877,
        5.220139778656085,
        5.220161715134252,
        5.22018365161242,
        5.220205111210627,
        5.220227047688795,
        5.220248507287002,
        5.22027044376517,
        5.2202919033633775,
        5.220313839841545,
        5.2203352994397525,
        5.22035723591792,
        5.220378695516127,
        5.220400631994295,
        5.220422091592502,
        5.22044402807067,
        5.220465487668877,
        5.220487424147044,
        5.220508883745252,
        5.220530820223419,
        5.220552279821627,
        5.220574216299794,
        5.220595675898002,
        5.220617612376169,
        5.220639071974376,
        5.220661008452544,
        5.220682468050751,
        5.220704404528919,
        5.220725864127126,
        5.221159348010915,
        5.221180807609123,
        5.22120226720733,
        5.221245663283705,
        5.221267599761872,
        5.22128905936008,
        5.221310518958287,
        5.221332455436455,
        5.221353915034662,
        5.221375851512829,
        5.221397311111037,
        5.221418770709245,
        5.221440707187412,
        5.221462166785619,
        5.221483626383827,
        5.221505562861994,
        5.221527022460202,
        5.221548482058409,
        5.221570418536577,
        5.221591878134784,
        5.221613337732991,
        5.221678193407573,
        5.2217001298857415,
        5.221721589483948,
        5.221743049082156,
        5.221764985560323,
        5.221786445158531,
        5.221937616105903,
        5.22195907570411,
        5.221981012182278,
        5.222002471780485,
        5.2220239313786925,
        5.22204586785686,
        5.2220673274550675,
        5.222088787053274,
        5.222110246651482,
        5.222132183129649,
        5.222153642727857,
        5.222175102326064,
        5.222196561924272,
        5.222218498402439,
        5.222239958000647,
        5.222261417598854,
        5.2222828771970615,
        5.222304813675229,
        5.222326273273437,
        5.2223477328716434,
        5.222369192469851,
        5.2223911289480185,
        5.222412588546226,
        5.222434048144433,
        5.222455507742641,
        5.222476967340848,
        5.222498903819016,
        5.222520363417223,
        5.222541823015431,
        5.2225632826136374,
        5.222584742211845,
        5.2226066786900125,
        5.22262813828822,
        5.222649597886427,
        5.222671057484635,
        5.222692517082842,
        5.22271445356101,
        5.222735913159217,
        5.222757372757425,
        5.2227788323556315,
        5.222800291953839,
        5.222821751552047,
        5.222843688030214,
        5.222865147628421,
        5.222886607226629,
        5.222908066824836,
        5.2229295264230435,
        5.222950986021251,
        5.222972922499419,
        5.2229943820976255,
        5.223015841695833,
        5.223037301294041,
        5.223058760892248,
        5.223080220490456,
        5.2231016800886625,
        5.22312313968687,
        5.2231450761650375,
        5.223166535763245,
        5.223187995361452,
        5.22320945495966,
        5.223230914557867,
        5.223252374156075,
        5.2232738337542814,
        5.223295293352489,
        5.223316752950697,
        5.223338689428864,
        5.223360149027071,
        5.223381608625279,
        5.223403068223487,
        5.223682519880143,
        5.2237039794783495,
        5.223746898674764,
        5.223768358272972,
        5.223789817871179,
        5.223811277469387,
        5.223832737067594,
        5.223854196665801,
        5.223875656264009,
        5.223897115862216,
        5.223918575460424,
        5.2239400350586305,
        5.223961494656838,
        5.223982954255046,
        5.224004413853253,
        5.224025873451461,
        5.2240473330496675,
        5.224068792647875,
        5.224090252246082,
        5.22411171184429,
        5.224133171442497,
        5.2241546310407045,
        5.224176090638912,
        5.224197550237119,
        5.224219009835327,
        5.224240469433534,
        5.224261929031742,
        5.2242833886299485,
        5.224304848228156,
        5.224325830946404,
        5.2243472905446104,
        5.224368750142818,
        5.224390209741025,
        5.224411669339233,
        5.224433128937441,
        5.2244545885356475,
        5.224476048133855,
        5.224497507732062,
        5.22451896733027,
        5.224540426928477,
        5.2245618865266845,
        5.224583346124892,
        5.224604805723099,
        5.2246257884413465,
        5.224647248039554,
        5.224668707637761,
        5.224690167235969,
        5.224711626834176,
        5.2247330864323835,
        5.22475454603059,
        5.224776005628798,
        5.224797465227005,
        5.224818924825213,
        5.22483990754346,
        5.224861367141667,
        5.225417409175218,
        5.225460328371633,
        5.22548131108988,
        5.225502770688088,
        5.225524230286295,
        5.225545689884503,
        5.22556667260275,
        5.225588132200957,
        5.225609591799165,
        5.225631051397372,
        5.225652510995579,
        5.225673493713827,
        5.225694953312034,
        5.225716412910241,
        5.225737872508448,
        5.225758855226696,
        5.225780314824903,
        5.22580177442311,
        5.225823234021318,
        5.225844216739565,
        5.225865676337772,
        5.22588713593598,
        5.225908118654227,
        5.225929578252434,
        5.225951037850642,
        5.225972497448849,
        5.225993480167096,
        5.226014939765304,
        5.226036399363511,
        5.226057382081758,
        5.226078841679966,
        5.226100301278173,
        5.226121760876381,
        5.226142743594628,
        5.226164203192835,
        5.226185662791043,
        5.22620664550929,
        5.226228105107497,
        5.226249564705705,
        5.226270547423952,
        5.226292007022159,
        5.2263134666203666,
        5.226334449338614,
        5.226355908936821,
        5.2263773685350285,
        5.226398351253276,
        5.226419810851483,
        5.2264412704496905,
        5.226462253167938,
        5.226483712766145,
        5.2265051723643525,
        5.2265261550826,
        5.226547614680807,
        5.226568597399054,
        5.226590056997262,
        5.226611516595469,
        5.226632499313716,
        5.226653958911924,
        5.226675418510131,
        5.226696401228378,
        5.226717860826585,
        5.226738843544832,
        5.22676030314304,
        5.226781762741247,
        5.226802745459494,
        5.226824205057702,
        5.226845187775949,
        5.226866647374156,
        5.226888106972364,
        5.226909089690611,
        5.226930549288818,
        5.226951532007066,
        5.226972991605273,
        5.22699397432352,
        5.227015433921728,
        5.227036893519935,
        5.227057876238182,
        5.22707933583639,
        5.227100318554637,
        5.227121778152844,
        5.227142760871091,
        5.227164220469299,
        5.227185203187546,
        5.227206662785753,
        5.227228122383961,
        5.227249105102208,
        5.227270564700415,
        5.2272915474186625,
        5.22731300701687,
        5.227333989735117,
        5.2273554493333245,
        5.227376432051572,
        5.227397891649779,
        5.227418874368026,
        5.227440333966234,
        5.227461316684481,
        5.227482776282688,
        5.2275037590009354,
        5.227525218599143,
        5.22754620131739,
        5.227567660915597,
        5.227588643633845,
        5.227610103232052,
        5.227631085950299,
        5.227652545548507,
        5.227673528266754,
        5.227694987864961,
        5.227715970583208,
        5.227737430181416,
        5.227758412899663,
        5.22777939561791,
        5.227800855216118,
        5.227821837934365,
        5.227843297532572,
        5.227864280250819,
        5.227885739849027,
        5.2279067225672735,
        5.227928182165481,
        5.227949164883729,
        5.227970147601976,
        5.227991607200183,
        5.22801258991843,
        5.228034049516638,
        5.228055032234885,
        5.228076491833092,
        5.2280974745513396,
        5.228118457269587,
        5.228139916867794,
        5.228160899586041,
        5.228182359184249,
        5.228203341902496,
        5.228224324620743,
        5.2282457842189505,
        5.228266766937198,
        5.228288226535405,
        5.228309209253652,
        5.228330191971899,
        5.228351651570107,
        5.228372634288354,
        5.228393617006601,
        5.228415076604809,
        5.228436059323056,
        5.2284570420413035,
        5.22847850163951,
        5.228499484357758,
        5.228520943955965,
        5.228541926674212,
        5.228562909392459,
        5.228584368990667,
        5.228605351708914,
        5.228626334427161,
        5.228647794025369,
        5.228668776743616,
        5.228689759461863,
        5.22871121906007,
        5.2287322017783175,
        5.228753184496565,
        5.228774644094772,
        5.228795626813019,
        5.2288166095312665,
        5.228837592249514,
        5.228859051847722,
        5.228880034565968,
        5.228901017284215,
        5.229302073330714,
        5.2293235329289205,
        5.229344515647168,
        5.229365498365415,
        5.2293864810836626,
        5.229407940681869,
        5.229428923400117,
        5.229449906118364,
        5.2294708888366115,
        5.229491871554859,
        5.229513331153066,
        5.229534313871313,
        5.22955529658956,
        5.229576279307808,
        5.229597262026055,
        5.229618721624262,
        5.229639704342509,
        5.229660687060757,
        5.229681669779004,
        5.229702652497251,
        5.229723635215498,
        5.229745094813706,
        5.229766077531953,
        5.2297870602502,
        5.229808042968448,
        5.229829025686694,
        5.2298500084049415,
        5.229871468003149,
        5.229892450721397,
        5.229913433439643,
        5.2299344161578905,
        5.229955398876138,
        5.229976381594385,
        5.229997841192593,
        5.230018823910839,
        5.230039806629087,
        5.230060789347334,
        5.2300817720655814,
        5.230102754783829,
        5.230123737502076,
        5.230144720220323,
        5.23016570293857,
        5.230187162536778,
        5.230208145255025,
        5.230229127973272,
        5.230250110691519,
        5.230271093409766,
        5.230292076128014,
        5.230313058846261,
        5.230334041564508,
        5.230355024282756,
        5.230376007001002,
        5.23039746659921,
        5.230418449317457,
        5.230439432035705,
        5.230460414753951,
        5.230481397472198,
        5.230502380190446,
        5.230523362908693,
        5.2305443456269405,
        5.230565328345188,
        5.230586311063434,
        5.230607293781682,
        5.230628276499929,
        5.230649259218176,
        5.230670241936424,
        5.230691224654671,
        5.230712207372918,
        5.230733190091165,
        5.230754172809412,
        5.23077515552766,
        5.230796138245907,
        5.230817120964154,
        5.230838103682402,
        5.230859086400648,
        5.2308800691188955,
        5.230901051837143,
        5.230963999991885,
        5.230984982710131,
        5.231005965428379,
        5.231026948146626,
        5.231047930864873,
        5.231068913583121,
        5.231089896301368,
        5.231110879019615,
        5.231131861737862,
        5.231152844456109,
        5.231173827174357,
        5.231194809892604,
        5.231215792610851,
        5.231236775329099,
        5.231257758047345,
        5.2312787407655925,
        5.23129972348384,
        5.231320706202087,
        5.231341688920335,
        5.231362671638582,
        5.231383654356828,
        5.231404637075076,
        5.231425619793323,
        5.23144612563161,
        5.231467108349857,
        5.231488091068105,
        5.231509073786352,
        5.2315300565045995,
        5.231551039222846,
        5.231572021941093,
        5.231593004659341,
        5.231613987377588,
        5.231634970095835,
        5.231655952814083,
        5.23167645865237,
        5.231697441370617,
        5.2317184240888635,
        5.231739406807111,
        5.231760389525358,
        5.2317813722436055,
        5.231802354961853,
        5.2318233376801,
        5.231843843518387,
        5.2318648262366345,
        5.231885808954881,
        5.231906791673128,
        5.231927774391376,
        5.231948757109623,
        5.23196973982787,
        5.231990245666157,
        5.232011228384405,
        5.232032211102652,
        5.2320531938208985,
        5.232074176539146,
        5.232095159257393,
        5.23211566509568,
        5.2321366478139275,
        5.232157630532175,
        5.232178613250422,
        5.23219959596867,
        5.2322201018069565,
        5.232241084525203,
        5.23226206724345,
        5.232283049961698,
        5.232304032679945,
        5.232324538518232,
        5.232345521236479,
        5.232366503954727,
        5.232387486672974,
        5.2324084693912205,
        5.232428975229508,
        5.232449957947755,
        5.232470940666002,
        5.2324919233842495,
        5.2325124292225365,
        5.232533411940784,
        5.232554394659031,
        5.2325753773772785,
        5.2325958832155655,
        5.232616865933813,
        5.23263784865206,
        5.232658831370307,
        5.232700319926841,
        5.232721302645088,
        5.232742285363336,
        5.232762791201623,
        5.23278377391987,
        5.232804756638117,
        5.232846245194652,
        5.232867227912899,
        5.232908716469433
    ],
    "flux": [
        2.7931,
        2.91268,
        2.22071,
        2.02013,
        1.74009,
        1.59333,
        1.87341,
        1.81773,
        1.50013,
        1.54057,
        1.52723,
        1.88109,
        1.64678,
        1.58266,
        1.51131,
        2.16426,
        2.01159,
        2.09635,
        1.55996,
        1.90211,
        1.64599,
        1.36156,
        1.35242,
        1.35037,
        1.76946,
        2.22067,
        2.03758,
        1.44812,
        1.57294,
        1.80784,
        1.88194,
        1.72967,
        2.06182,
        1.77174,
        1.98841,
        1.76818,
        1.81546,
        2.29462,
        1.71855,
        1.70442,
        1.84849,
        1.63755,
        1.68514,
        2.14273,
        1.61596,
        1.58803,
        1.71482,
        1.68091,
        1.62009,
        1.68224,
        1.70155,
        1.73183,
        1.65894,
        1.68057,
        1.37455,
        1.72242,
        1.63435,
        1.82772,
        1.50048,
        1.46475,
        1.72167,
        1.72674,
        1.61255,
        1.59356,
        1.5944,
        1.97904,
        1.71463,
        1.73796,
        1.47878,
        1.77807,
        1.93828,
        2.62179,
        1.80423,
        1.97585,
        2.08037,
        1.98082,
        1.3073,
        1.51903,
        1.64825,
        1.57758,
        1.31834,
        1.48177,
        1.70755,
        1.48098,
        1.86066,
        1.4491,
        1.4209,
        1.57175,
        1.62887,
        1.72678,
        1.66527,
        2.37212,
        1.61036,
        1.7674,
        1.52526,
        1.77363,
        1.63158,
        1.53049,
        1.91035,
        1.28621,
        1.59449,
        1.7721,
        1.33123,
        1.47741,
        1.94107,
        1.66163,
        1.5774,
        1.69512,
        1.83022,
        1.41973,
        1.53521,
        1.92064,
        2.56768,
        2.52627,
        2.33838,
        1.8528,
        1.64357,
        1.66429,
        1.78833,
        1.56433,
        1.9721,
        1.68484,
        1.99476,
        2.4439,
        1.97448,
        1.92446,
        1.49116,
        1.8771,
        1.80723,
        1.88736,
        1.89262,
        1.81652,
        1.74458,
        1.9228,
        null,
        1.74009,
        1.63378,
        2.23597,
        1.77653,
        1.67878,
        1.35959,
        1.62212,
        1.42382,
        1.74464,
        1.71496,
        1.64856,
        1.66747,
        1.5668,
        1.62759,
        1.47377,
        1.62747,
        1.59121,
        1.5663,
        2.04859,
        1.53423,
        1.53146,
        1.62453,
        1.70253,
        1.94873,
        1.3662,
        1.41621,
        1.73551,
        1.81929,
        1.97442,
        2.11563,
        1.99589,
        2.62373,
        1.73603,
        2.06629,
        1.82128,
        1.63407,
        1.82663,
        1.73179,
        1.84142,
        1.94891,
        1.75087,
        1.51483,
        1.50905,
        1.66105,
        1.5111,
        1.35947,
        1.29325,
        1.49661,
        1.54569,
        1.85466,
        1.47356,
        1.64435,
        1.62707,
        1.64657,
        1.42518,
        1.80564,
        1.43776,
        1.84281,
        1.49316,
        1.52045,
        1.50638,
        1.63508,
        1.46405,
        1.47194,
        1.76447,
        1.86955,
        1.74827,
        1.78543,
        1.5442,
        1.76246,
        1.85384,
        1.81671,
        1.63116,
        1.60242,
        1.60105,
        1.98057,
        2.23189,
        2.15564,
        2.17446,
        1.90039,
        1.98808,
        2.14451,
        1.82639,
        1.92406,
        1.79067,
        1.71967,
        1.64579,
        1.76887,
        1.60174,
        1.52308,
        1.6057,
        1.4225,
        1.36032,
        1.89356,
        1.98226,
        2.04386,
        1.65386,
        1.54074,
        1.63095,
        1.50202,
        1.64878,
        1.65406,
        1.6451,
        1.61465,
        1.61448,
        1.66949,
        1.78292,
        1.73099,
        1.66893,
        1.47467,
        1.47548,
        1.7912,
        1.75074,
        2.01615,
        1.95425,
        1.73352,
        1.84054,
        1.7622,
        1.66121,
        1.55147,
        1.89795,
        1.69518,
        1.68133,
        1.45124,
        2.0728,
        2.24073,
        2.13382,
        2.07214,
        1.71523,
        1.89342,
        1.63721,
        1.49747,
        1.83092,
        1.7345,
        1.56995,
        1.68622,
        1.73927,
        1.66473,
        1.48729,
        1.62941,
        1.6922,
        1.69146,
        1.87252,
        1.75011,
        1.92427,
        1.74304,
        1.79253,
        1.74405,
        1.78264,
        2.00457,
        1.84133,
        1.54721,
        1.52789,
        1.54561,
        1.48491,
        1.54524,
        1.52172,
        1.64509,
        1.69007,
        1.71528,
        1.76031,
        1.77047,
        1.86949,
        1.85486,
        1.53357,
        1.32509,
        1.50741,
        1.91604,
        1.37593,
        1.70801,
        1.43755,
        1.63447,
        1.51086,
        2.11299,
        1.79679,
        1.73488,
        1.76507,
        1.80117,
        1.95604,
        1.9569,
        1.84771,
        1.7277,
        1.99157,
        1.98987,
        1.87365,
        1.71814,
        1.74284,
        1.73407,
        1.66639,
        1.57417,
        1.57792,
        1.60756,
        1.45277,
        1.58241,
        1.56123,
        1.579,
        1.48439,
        1.38699,
        1.56688,
        1.57233,
        1.48451,
        1.66407,
        1.54358,
        1.6624,
        1.73994,
        1.53907,
        1.56798,
        1.54846,
        1.66814,
        1.54602,
        1.70622,
        1.59423,
        1.69152,
        1.73877,
        1.75642,
        1.61683,
        1.57277,
        1.69404,
        1.73135,
        1.63104,
        1.71252,
        1.74513,
        1.67172,
        1.61686,
        1.66356,
        1.58392,
        1.70704,
        1.7194,
        1.71422,
        1.88414,
        2.04898,
        2.0449,
        1.69409,
        1.56377,
        1.70406,
        1.7375,
        1.68797,
        1.68435,
        1.61823,
        1.59985,
        1.56043,
        1.56389,
        1.71695,
        1.89731,
        1.75397,
        1.73328,
        1.6321,
        1.46914,
        1.68053,
        1.8606,
        1.71293,
        1.76551,
        1.7417,
        1.69917,
        1.6044,
        1.66661,
        1.55261,
        1.73066,
        1.71287,
        1.56856,
        1.7506,
        1.57233,
        1.52432,
        1.7001,
        1.82534,
        1.63083,
        1.52956,
        1.6223,
        1.6163,
        1.51721,
        1.63753,
        2.00063,
        2.30048,
        1.90294,
        2.08687,
        1.96848,
        1.42372,
        1.67745,
        1.68595,
        1.83175,
        2.24337,
        1.79501,
        1.78583,
        2.14634,
        2.17981,
        1.84747,
        1.69588,
        1.83046,
        1.75135,
        1.71858,
        1.64032,
        1.52883,
        1.74897,
        1.69713,
        1.7478,
        1.9053,
        2.26139,
        2.18205,
        1.79911,
        1.67763,
        2.27031,
        1.63299,
        1.68046,
        1.92159,
        1.90131,
        1.59097,
        1.52478,
        1.78318,
        1.89592,
        1.84931,
        1.85945,
        1.5851,
        1.83502,
        1.32119,
        1.65244,
        1.57585,
        1.46103,
        1.74054,
        1.73808,
        1.57672,
        2.32009,
        1.74188,
        2.03769,
        1.91742,
        1.98174,
        1.54517,
        1.48209,
        1.36331,
        1.6247,
        1.53098,
        1.7257,
        1.41506,
        1.51071,
        1.88208,
        1.7885,
        1.47192,
        1.6964,
        1.86402,
        1.88302,
        1.66507,
        1.92279,
        1.81339,
        1.69908,
        1.76073,
        1.84791,
        1.89636,
        1.68873,
        1.44639,
        1.84243,
        1.75927,
        2.03233,
        1.72397,
        1.67924,
        1.73802,
        1.78981,
        1.67561,
        1.71843,
        1.56095,
        1.57937,
        1.68895,
        1.68032,
        1.58861,
        1.51087,
        1.64995,
        1.60711,
        1.59617,
        1.45021,
        1.40452,
        2.0329,
        2.01147,
        1.69961,
        1.56759,
        2.13626,
        2.56556,
        2.22398,
        1.52369,
        1.8981,
        2.05156,
        1.96884,
        1.75166,
        1.80562,
        1.97404,
        1.9455,
        1.83893,
        1.43862,
        1.62996,
        1.59365,
        1.65236,
        1.68979,
        1.65412,
        1.94018,
        1.71285,
        1.63492,
        1.57994,
        1.75728,
        1.65806,
        1.38353,
        1.57676,
        1.67222,
        1.76686,
        1.40705,
        1.48944,
        1.66593,
        1.6122,
        1.5716,
        1.74218,
        1.64157,
        1.62298,
        1.56443,
        1.71966,
        1.84297,
        1.73864,
        1.47993,
        1.63779,
        1.83309,
        1.6824,
        1.59041,
        1.96869,
        1.81337,
        1.96166,
        2.08602,
        2.02568,
        2.09214,
        2.27487,
        2.33545,
        2.19705,
        1.75777,
        1.69417,
        1.98206,
        1.91823,
        1.86932,
        1.71234,
        1.44665,
        1.77263,
        1.84635,
        1.59158,
        1.57225,
        1.52849,
        1.63834,
        1.75319,
        1.78496,
        1.6274,
        1.56568,
        1.65381,
        1.74521,
        1.83021,
        1.69249,
        1.62304,
        1.7546,
        1.83614,
        1.99635,
        1.81033,
        1.78655,
        1.8238,
        1.76155,
        2.00926,
        1.78656,
        1.40741,
        1.42207,
        1.66428,
        1.69309,
        1.69679,
        1.48827,
        1.59963,
        1.43118,
        1.5107,
        1.62536,
        1.76311,
        1.82653,
        1.85745,
        1.41808,
        1.43726,
        1.77469,
        1.77662,
        1.91865,
        2.04024,
        2.00508,
        2.17141,
        1.82025,
        1.59948,
        1.6169,
        1.6074,
        1.53051,
        1.68514,
        1.45563,
        1.72898,
        1.75748,
        1.78607,
        1.61633,
        1.5628,
        1.76605,
        1.67697,
        1.45474,
        1.45592,
        1.53666,
        1.47891,
        1.48422,
        1.53485,
        1.6461,
        1.52091,
        1.54125,
        1.6675,
        1.56614,
        1.57232,
        1.62299,
        1.62335,
        1.67725,
        1.6443,
        1.54251,
        1.61156,
        1.59677,
        1.56677,
        1.62448,
        1.63973,
        1.58251,
        1.53467,
        1.53637,
        1.56632,
        1.58529,
        1.5915,
        1.61081,
        1.70725,
        1.62357,
        1.60489,
        1.75134,
        1.5901,
        1.73361,
        1.79807,
        1.65226,
        1.7001,
        1.81889,
        1.59481,
        1.58068,
        1.8148,
        1.78587,
        1.60274,
        1.49853,
        1.81526,
        1.67208,
        1.70141,
        1.90003,
        1.74703,
        2.10143,
        1.45438,
        1.76271,
        2.61121,
        1.92062,
        1.85075,
        1.65654,
        1.69009,
        2.00777,
        1.392,
        1.7237,
        1.70602,
        1.71754,
        1.56132,
        1.77441,
        1.55762,
        1.62956,
        1.59698,
        1.46891,
        1.57721,
        1.61821,
        1.51662,
        1.54735,
        1.45017,
        1.56326,
        1.56805,
        1.59765,
        1.62664,
        1.60655,
        1.51391,
        1.67414,
        1.68546,
        1.46478,
        1.57629,
        1.55558,
        1.53438,
        1.61741,
        1.59507,
        1.58681,
        1.42614,
        1.52512,
        1.49956,
        1.57561,
        1.55676,
        1.59746,
        1.557,
        1.59131,
        1.69913,
        1.61542,
        1.44796,
        1.72007,
        1.74323,
        1.59664,
        1.60244,
        1.55457,
        1.56267,
        1.40755,
        1.39689,
        1.38679,
        1.6023,
        1.54843,
        1.51151,
        1.56158,
        1.73878,
        1.55377,
        1.93037,
        1.70208,
        1.82194,
        1.55205,
        1.51551,
        1.83822,
        1.77587,
        1.71001,
        1.67346,
        2.44988,
        2.01465,
        1.85139,
        1.75735,
        1.90591,
        1.97242,
        1.56256,
        1.57519,
        1.69029,
        1.58567,
        1.7349,
        1.58387,
        1.6533,
        1.80236,
        1.67032,
        1.52475,
        1.6614,
        1.63587,
        1.65392,
        1.67515,
        1.73708,
        1.63539,
        1.64811,
        1.45288,
        1.44682,
        1.59302,
        1.65558,
        1.77353,
        1.60146,
        1.50446,
        1.49447,
        1.68069,
        1.96937,
        1.69705,
        1.82569,
        1.46855,
        1.52674,
        1.47553,
        1.76745,
        1.74669,
        1.68334,
        1.52123,
        1.56576,
        1.51232,
        1.5775,
        1.56691,
        1.60299,
        1.70948,
        1.76494,
        1.75477,
        1.69475,
        1.79374,
        1.78969,
        1.81802,
        1.69635,
        1.58024,
        1.78086,
        1.74468,
        1.6609,
        1.71771,
        1.60052,
        1.55341,
        1.54565,
        1.61058,
        1.67312,
        1.88753,
        1.73189,
        1.90545,
        1.60589,
        1.56573,
        1.33619,
        1.65478,
        1.52468,
        1.58207,
        1.5403,
        1.52452,
        1.41891,
        1.55004,
        1.61127,
        1.67684,
        1.62063,
        1.49907,
        1.56933,
        1.46257,
        1.54486,
        1.61949,
        1.72709,
        1.53894,
        1.55799,
        1.4845,
        1.49042,
        1.46725,
        1.62452,
        1.56387,
        1.65768,
        1.57918,
        1.55613,
        1.58055,
        1.61146,
        1.52534,
        1.45104,
        1.59746,
        1.75332,
        1.54813,
        1.58301,
        1.58508,
        1.64146,
        1.75048,
        1.59411,
        1.64843,
        1.63707,
        1.59738,
        1.61809,
        1.59549,
        1.5804,
        1.71954,
        null,
        1.3661,
        1.49035,
        1.35814,
        1.25303,
        1.29219,
        1.39863,
        1.28752,
        1.31989,
        1.5141,
        1.114,
        1.30196,
        1.79155,
        1.82208,
        1.41847,
        1.29073,
        1.17414,
        1.62182,
        1.34226,
        1.21354,
        1.30534,
        1.50618,
        1.41219,
        1.54799,
        1.58617,
        1.62827,
        1.59191,
        1.40924,
        1.41357,
        1.69184,
        1.36571,
        1.35343,
        1.33185,
        1.32642,
        1.36343,
        1.21109,
        1.2673,
        1.32774,
        1.4179,
        1.29693,
        1.24652,
        1.31072,
        1.17274,
        1.37296,
        1.34849,
        1.48047,
        1.51798,
        1.59434,
        1.28819,
        1.28523,
        1.27942,
        1.46448,
        1.3191,
        1.41473,
        1.16302,
        1.71011,
        1.3515,
        1.3702,
        1.42581,
        1.16418,
        1.25699,
        1.44389,
        1.35635,
        1.36791,
        1.2877,
        1.43731,
        1.43429,
        1.51478,
        1.43279,
        1.3172,
        1.45716,
        1.5173,
        1.18779,
        1.48975,
        1.61124,
        1.46543,
        1.47249,
        1.65667,
        1.69423,
        1.48533,
        1.71337,
        1.58285,
        1.5034,
        1.198,
        1.24774,
        1.20198,
        1.29262,
        1.32552,
        1.19398,
        1.26027,
        1.27993,
        1.41975,
        1.40519,
        1.40364,
        1.40467,
        1.3008,
        1.20865,
        1.23106,
        1.38455,
        1.4624,
        1.25045,
        1.31033,
        1.47954,
        1.83772,
        1.36026,
        1.3536,
        1.40399,
        1.4201,
        1.28826,
        1.26818,
        1.26929,
        1.35649,
        1.43682,
        1.42822,
        1.24381,
        1.26505,
        1.23425,
        1.38785,
        1.31152,
        1.27706,
        1.39424,
        1.2498,
        1.43422,
        1.30263,
        1.27523,
        1.41519,
        1.41967,
        1.27324,
        1.48575,
        1.39298,
        1.27233,
        1.30956,
        1.23806,
        1.19962,
        1.29174,
        1.37276,
        1.18439,
        0.946411,
        1.17151,
        1.61622,
        1.64749,
        2.139,
        1.32815,
        1.57977,
        1.58236,
        1.4835,
        1.46291,
        1.53905,
        1.44244,
        1.13162,
        1.36383,
        1.2079,
        1.50496,
        1.16242,
        1.54979,
        1.26194,
        1.56277,
        1.51974,
        1.54475,
        1.6694,
        1.25431,
        1.40954,
        1.38847,
        1.31766,
        1.33057,
        1.48761,
        1.39692,
        1.43506,
        1.33726,
        1.056,
        1.36627,
        1.33205,
        1.4523,
        1.37106,
        1.4367,
        1.39134,
        1.39935,
        1.39988,
        1.32939,
        1.36386,
        1.4079,
        1.52297,
        1.40863,
        1.32325,
        1.33525,
        1.281,
        1.29149,
        1.33098,
        1.38624,
        1.34218,
        1.3667,
        1.36031,
        1.33414,
        1.30893,
        1.49905,
        1.34156,
        1.35196,
        1.25641,
        1.24002,
        1.35811,
        1.47085,
        1.35102,
        1.4129,
        1.14157,
        1.2828,
        1.32645,
        1.45481,
        1.3936,
        1.43905,
        1.71532,
        1.93331,
        1.70643,
        1.44351,
        1.45264,
        1.55705,
        1.62732,
        1.35342,
        1.4275,
        1.42474,
        1.39587,
        1.38606,
        1.38675,
        1.23044,
        1.26612,
        1.31978,
        1.37493,
        1.3933,
        1.34161,
        1.43496,
        1.54079,
        1.33061,
        1.31592,
        1.28428,
        1.50848,
        1.48798,
        1.46384,
        1.42357,
        1.37571,
        1.36996,
        1.39555,
        1.4805,
        1.44579,
        1.3491,
        1.42767,
        1.41513,
        1.39822,
        1.41832,
        1.34318,
        1.29317,
        1.24133,
        1.37326,
        1.27814,
        1.32728,
        1.43805,
        1.36808,
        1.38753,
        1.37162,
        1.32445,
        1.29037,
        1.33109,
        1.37842,
        1.49577,
        1.41466,
        1.4014,
        1.34319,
        1.19286,
        1.43928,
        1.43215,
        1.30793,
        1.32475,
        1.38003,
        1.50417,
        1.3693,
        1.48024,
        1.27311,
        1.49809,
        1.78415,
        1.82484,
        1.71006,
        1.66271,
        1.51976,
        1.55447,
        1.53634,
        1.46644,
        1.27493,
        1.54718,
        1.4136,
        1.2534,
        1.44535,
        1.30211,
        1.39799,
        1.33865,
        1.34809,
        1.33484,
        1.33562,
        1.32933,
        1.30092,
        1.29301,
        1.24406,
        1.39314,
        1.39334,
        1.32372,
        1.34631,
        1.33143,
        1.45927,
        1.45157,
        1.40523,
        1.29186,
        1.35411,
        1.35528,
        1.48406,
        1.36588,
        1.30649,
        1.33652,
        1.36131,
        1.42677,
        1.38179,
        1.38409,
        1.37195,
        1.33757,
        1.30441,
        1.38467,
        1.38034,
        1.35161,
        1.39778,
        1.32605,
        1.2894,
        1.32093,
        1.2756,
        1.30219,
        1.40832,
        1.32414,
        1.31306,
        1.36129,
        1.41932,
        1.43721,
        1.41589,
        1.29062,
        1.32013,
        1.21658,
        1.33672,
        1.24913,
        1.36609,
        1.48467,
        1.51936,
        1.64229,
        1.22684,
        1.32305,
        1.0611,
        1.4017,
        1.62639,
        1.61502,
        1.3382,
        1.37714,
        1.20562,
        1.32614,
        1.39734,
        1.55142,
        1.4706,
        1.44429,
        1.39195,
        1.27093,
        1.32287,
        1.38257,
        1.40036,
        1.3881,
        1.32693,
        1.42437,
        1.29584,
        1.3613,
        1.29455,
        1.32604,
        1.36887,
        1.34437,
        1.36531,
        1.3247,
        1.35629,
        1.36142,
        1.3783,
        1.32665,
        1.23738,
        1.28122,
        1.33818,
        1.28803,
        1.25668,
        1.29231,
        1.36738,
        1.30354,
        1.30312,
        1.3159,
        1.28576,
        1.30066,
        1.28113,
        1.37397,
        1.36474,
        1.32303,
        1.30345,
        1.34477,
        1.30091,
        1.3653,
        1.38543,
        1.35091,
        1.29077,
        1.31724,
        1.35052,
        1.36213,
        1.37606,
        1.40073,
        1.27943,
        1.32872,
        1.40519,
        1.30095,
        1.33669,
        1.35031,
        1.39293,
        1.32619,
        1.33504,
        1.33142,
        1.40758,
        1.36571,
        1.34776,
        1.34693,
        1.30291,
        1.31855,
        1.33678,
        1.3456,
        1.31005,
        1.34095,
        1.4259,
        1.08075,
        1.40516,
        1.33422,
        2.21989,
        1.72208,
        1.41073,
        1.47632,
        1.51477,
        1.52923,
        1.44131,
        1.41404,
        1.46429,
        1.38842,
        1.38575,
        1.37321,
        1.29157,
        1.35553,
        1.1724,
        1.31189,
        1.34291,
        1.41863,
        1.42079,
        1.4612,
        1.27234,
        1.29364,
        1.26833,
        1.31261,
        1.32146,
        1.29564,
        1.34764,
        1.38294,
        1.3035,
        1.21044,
        1.27817,
        1.31079,
        1.29262,
        1.28195,
        1.33707,
        1.31556,
        1.35425,
        1.32323,
        1.2802,
        1.28293,
        1.41339,
        1.35813,
        1.3401,
        1.33518,
        1.22839,
        1.30166,
        1.33928,
        1.37154,
        1.29117,
        1.23388,
        1.28414,
        1.40259,
        1.34392,
        1.39078,
        1.36252,
        1.35415,
        1.4018,
        1.32989,
        1.26245,
        1.28524,
        1.3076,
        1.32819,
        1.44803,
        1.34907,
        1.32876,
        1.38152,
        1.33404,
        1.27701,
        1.35361,
        1.32122,
        1.31796,
        1.28714,
        1.36242,
        1.33812,
        1.31003,
        1.36154,
        1.32682,
        1.33626,
        1.43938,
        1.46501,
        1.50671,
        1.44052,
        1.45015,
        1.94597,
        1.35589,
        2.33773,
        2.26075,
        1.43023,
        1.69862,
        1.96736,
        1.8084,
        1.81167,
        1.5946,
        1.51616,
        1.70922,
        1.5894,
        1.56533,
        1.521,
        1.26255,
        1.70792,
        1.40452,
        1.39618,
        1.49608,
        1.48183,
        1.57835,
        1.78056,
        1.47447,
        1.63046,
        2.2375,
        1.69892,
        1.33128,
        1.33292,
        1.48953,
        1.4034,
        1.30161,
        1.3156,
        1.31859,
        1.38309,
        1.34807,
        1.39141,
        1.43471,
        1.35388,
        1.34257,
        1.36993,
        1.23256,
        1.27845,
        1.3325,
        1.38977,
        1.37707,
        1.28819,
        1.34354,
        1.36077,
        1.29187,
        1.38247,
        1.38036,
        1.43678,
        1.34421,
        1.39597,
        1.34431,
        1.32471,
        1.36487,
        1.45266,
        1.4009,
        1.40746,
        1.29037,
        1.33855,
        1.3473,
        1.34362,
        1.27204,
        1.37464,
        1.50741,
        1.44928,
        1.25711,
        1.70579,
        1.65827,
        1.52621,
        1.5738,
        1.63098,
        1.42568,
        1.57546,
        1.59661,
        1.22824,
        1.47928,
        1.50422,
        1.62927,
        1.67427,
        1.33888,
        1.28744,
        1.25493,
        1.39574,
        1.44504,
        1.50175,
        1.35718,
        1.40342,
        1.44423,
        1.38213,
        1.33165,
        1.34664,
        1.30202,
        1.37169,
        1.30843,
        1.36241,
        1.32392,
        1.37274,
        1.34571,
        1.24249,
        1.31626,
        1.36281,
        1.35528,
        1.34298,
        1.32459,
        1.2919,
        1.22628,
        1.22387,
        1.27587,
        1.32519,
        1.38892,
        1.32319,
        1.34012,
        1.2831,
        1.33606,
        1.33294,
        1.34073,
        1.34022,
        1.36868,
        1.28335,
        1.28177,
        1.25847,
        1.29476,
        1.34399,
        1.30644,
        1.31229,
        1.38359,
        1.33779,
        1.31229,
        1.35305,
        1.42709,
        1.4062,
        1.28209,
        1.28929,
        1.31015,
        1.33097,
        1.3181,
        1.26673,
        1.38302,
        1.52556,
        1.50398,
        1.40645,
        1.44488,
        1.4123,
        1.44445,
        1.37733,
        1.25115,
        1.60872,
        1.60413,
        1.1877,
        1.45306,
        1.22818,
        1.3578,
        1.32926,
        1.42905,
        1.35062,
        1.39131,
        1.313,
        1.36029,
        1.35659,
        1.31835,
        1.33103,
        1.27902,
        1.22918,
        1.23386,
        1.38248,
        1.47352,
        1.36154,
        1.48487,
        1.53926,
        1.56523,
        1.70906,
        1.93688,
        1.62175,
        1.28454,
        1.4923,
        1.47637,
        1.33174,
        1.41187,
        1.30894,
        1.39716,
        1.42296,
        1.4022,
        1.54239,
        1.46614,
        1.32985,
        1.31602,
        1.32313,
        1.36561,
        1.32487,
        1.26885,
        1.28021,
        1.29545,
        1.31388,
        1.38925,
        1.40036,
        1.3288,
        1.37271,
        1.40848,
        1.29824,
        1.29628,
        1.28294,
        1.35319,
        1.40982,
        1.37276,
        1.29144,
        1.28744,
        1.29023,
        1.30732,
        1.29113,
        1.35215,
        1.32416,
        1.30098,
        1.31734,
        1.3792,
        1.35791,
        1.35587,
        1.37038,
        1.33353,
        1.37372,
        1.31569,
        1.38019,
        1.36139,
        1.37072,
        1.28463,
        1.38259,
        1.40106,
        1.43615,
        1.37995,
        1.35408,
        1.31812,
        1.45479,
        1.34808,
        1.42457,
        1.34418,
        1.67345,
        1.31355,
        1.2409,
        1.57969,
        1.62198,
        1.4042,
        1.3996,
        1.38636,
        1.29025,
        1.37477,
        1.34597,
        1.36067,
        1.35864,
        1.32401,
        1.33673,
        1.38756,
        1.4018,
        1.38344,
        1.34676,
        1.31669,
        1.28962,
        1.39845,
        1.31247,
        1.40313,
        1.51351,
        1.47366,
        1.39307,
        1.36378,
        1.47567,
        1.34473,
        1.17016,
        1.25056,
        1.35515,
        1.46709,
        1.64681,
        1.51324,
        1.47516,
        1.71434,
        1.55951,
        1.63815,
        1.43894,
        1.42867,
        1.50116,
        1.67488,
        1.4975,
        1.41208,
        1.70903,
        1.8681,
        1.60155,
        1.72159,
        1.70934,
        1.72743,
        1.53086,
        1.48586,
        1.37275,
        1.36265,
        1.38087,
        1.47795,
        1.42802,
        1.47421,
        1.3876,
        1.43638,
        1.43854,
        1.49548,
        1.45776,
        1.5667,
        1.47103,
        2.3047,
        1.95875,
        1.86894,
        1.58242,
        1.45395,
        1.39438,
        1.48093,
        1.46716,
        1.59715,
        1.36986,
        1.41784,
        1.43545,
        1.39982,
        1.35337,
        1.28124,
        1.32645,
        1.36722,
        1.42291,
        1.34947,
        1.27607,
        1.29515,
        1.3468,
        1.40501,
        1.27913,
        1.39113,
        1.39764,
        1.44553,
        1.37693,
        1.34837,
        1.45111,
        1.31024,
        1.30788,
        1.32305,
        1.38401,
        1.45538,
        1.42248,
        1.30803,
        1.34316,
        1.40166,
        1.53319,
        1.29538,
        1.48965,
        1.42923,
        1.439,
        1.56639,
        1.14339,
        1.22711,
        1.34311,
        1.50205,
        1.87512,
        1.59556,
        1.43691,
        1.41784,
        1.46701,
        1.49981,
        1.51173,
        1.4103,
        1.42528,
        1.41611,
        1.42128,
        1.34121,
        1.33405,
        1.38095,
        1.40389,
        1.35898,
        1.33387,
        1.44066,
        1.36885,
        1.30239,
        1.35776,
        1.35918,
        1.40512,
        1.32561,
        1.38924,
        1.34974,
        1.42265,
        1.42243,
        1.40942,
        1.42758,
        1.41364,
        1.31686,
        1.33911,
        1.42949,
        1.38845,
        1.32933,
        1.37457,
        1.35014,
        1.35427,
        1.43262,
        1.37431,
        1.50084,
        1.40725,
        1.5291,
        1.59251,
        1.51355,
        1.26789,
        1.48214,
        1.68576,
        1.55342,
        1.419,
        1.58688,
        1.55491,
        1.43272,
        1.52051,
        1.41636,
        1.49314,
        1.50148,
        1.42685,
        1.38672,
        1.35113,
        1.32761,
        1.37689,
        1.40226,
        1.36119,
        1.37144,
        1.41296,
        1.36149,
        1.39865,
        1.44432,
        1.53041,
        1.35328,
        1.3468,
        1.41719,
        1.3298,
        1.42893,
        1.44752,
        1.29804,
        1.41167,
        1.50301,
        1.41263,
        1.36263,
        1.34111,
        1.30751,
        1.38487,
        1.38711,
        1.34435,
        1.36106,
        1.31975,
        1.40266,
        1.42332,
        1.33349,
        1.42273,
        1.43862,
        1.44332,
        1.3167,
        1.29369,
        1.27402,
        1.37505,
        1.44732,
        1.43118,
        1.39806,
        1.56685,
        1.37811,
        1.56308,
        1.46353,
        1.39987,
        1.55218,
        1.45237,
        1.55718,
        1.51172,
        1.54663,
        1.50562,
        1.30282,
        1.38204,
        1.4822,
        1.39295,
        1.36405,
        1.41627,
        1.51063,
        1.46192,
        1.43143,
        1.31913,
        1.37522,
        1.4528,
        1.36757,
        1.35342,
        1.3239,
        1.29665,
        1.36099,
        1.3948,
        1.44433,
        1.34793,
        1.33722,
        1.35401,
        1.39541,
        1.30241,
        1.34115,
        1.47193,
        1.35379,
        1.39827,
        1.38797,
        1.46041,
        1.49261,
        1.42737,
        1.28599,
        1.33797,
        1.27421,
        1.66813,
        1.52583,
        1.39051,
        1.3415,
        1.40675,
        1.4593,
        1.49102,
        1.44561,
        1.51489,
        1.46547,
        1.41076,
        1.33316,
        1.31303,
        1.34637,
        1.40535,
        1.42702,
        1.41371,
        1.3382,
        1.40978,
        1.36531,
        1.29695,
        1.29143,
        1.3279,
        1.3694,
        1.35157,
        1.39075,
        1.36573,
        1.36707,
        1.37855,
        1.32255,
        1.37072,
        1.3302,
        1.35022,
        1.31494,
        1.43855,
        1.41609,
        1.47298,
        1.36408,
        1.39093,
        1.36504,
        1.40198,
        1.29665,
        1.37028,
        1.36977,
        1.36443,
        1.32069,
        1.37281,
        1.37602,
        1.39821,
        1.33734,
        1.40475,
        1.29461,
        1.24307,
        1.28077,
        1.35289,
        1.36522,
        1.38459,
        1.44223,
        1.34866,
        1.41311,
        1.36952,
        1.41012,
        1.39604,
        1.37028,
        1.32492,
        1.32601,
        1.34731,
        1.44759,
        1.39076,
        1.43517,
        1.51079,
        1.41715,
        1.39989,
        1.31208,
        1.68721,
        1.40384,
        1.58402,
        1.34873,
        1.56317,
        1.41912,
        1.42539,
        1.51112,
        1.3496,
        1.33625,
        1.35126,
        1.45122,
        1.40664,
        1.40159,
        1.36699,
        1.28346,
        1.41694,
        1.39836,
        1.35888,
        1.34727,
        1.35894,
        1.42187,
        1.39063,
        1.42558,
        1.36907,
        1.29585,
        1.38918,
        1.77816,
        1.8075,
        1.32293,
        1.51734,
        1.76898,
        2.15536,
        1.98677,
        1.78811,
        1.55175,
        1.85173,
        1.35959,
        1.20726,
        1.18697,
        1.40169,
        1.44243,
        1.53255,
        1.48854,
        1.40276,
        1.44554,
        1.53882,
        1.40649,
        1.59578,
        1.79008,
        1.64548,
        1.72301,
        1.70552,
        1.52653,
        1.47289,
        1.31592,
        1.41995,
        1.52476,
        1.39068,
        1.36323,
        1.38019,
        1.40933,
        1.33947,
        1.37375,
        1.36678,
        1.41298,
        1.48611,
        1.471,
        1.46885,
        1.39306,
        1.34291,
        1.37371,
        1.42527,
        1.33448,
        1.39363,
        1.39342,
        1.34993,
        1.34246,
        1.34198,
        1.37107,
        1.34565,
        1.41544,
        1.33174,
        1.32181,
        1.32211,
        1.33799,
        1.36276,
        1.30095,
        1.35482,
        1.31102,
        1.30372,
        1.39614,
        1.42955,
        1.38831,
        1.39966,
        1.35077,
        1.36098,
        1.31483,
        1.37139,
        1.32946,
        1.37793,
        1.45534,
        1.36843,
        1.57149,
        1.29776,
        1.30779,
        1.33917,
        1.41167,
        1.49017,
        1.48416,
        1.41337,
        1.317,
        1.34498,
        1.40466,
        1.36735,
        1.27394,
        1.2364,
        1.43578,
        1.34194,
        1.4413,
        1.49747,
        1.35962,
        1.28577,
        1.38705,
        1.41212,
        1.49506,
        1.64289,
        1.47235,
        1.41834,
        1.29438,
        1.37368,
        1.33154,
        1.42208,
        1.32192,
        1.43177,
        1.52179,
        1.489,
        1.40655,
        1.30882,
        1.36086,
        1.33213,
        1.3604,
        1.27692,
        1.3331,
        1.3884,
        1.41348,
        1.35208,
        1.3831,
        1.36407,
        1.36721,
        1.36017,
        1.40416,
        1.36758,
        1.3704,
        1.34065,
        1.34292,
        1.41185,
        1.34741,
        1.33057,
        1.42552,
        1.42298,
        1.31836,
        1.27361,
        1.36474,
        1.3857,
        1.33049,
        1.33331,
        1.3581,
        1.34093,
        1.32307,
        1.31782,
        1.3299,
        1.34201,
        1.36621,
        1.33434,
        1.29677,
        1.26689,
        1.25938,
        1.26639,
        1.33581,
        1.37021,
        1.38468,
        1.33319,
        1.3017,
        1.29602,
        1.38981,
        1.32444,
        1.31369,
        1.33506,
        1.32373,
        1.32804,
        1.36583,
        1.35635,
        1.33352,
        1.2756,
        1.30206,
        1.31237,
        1.30372,
        1.3039,
        1.30002,
        1.31249,
        1.29419,
        1.31059,
        1.35408,
        1.40336,
        1.23448,
        1.22445,
        1.34585,
        1.39372,
        1.35699,
        1.34138,
        1.3238,
        1.32107,
        1.32547,
        1.30789,
        1.27342,
        1.27547,
        1.23861,
        1.23078,
        1.43593,
        1.41018,
        1.26666,
        1.40374,
        1.62736,
        2.23055,
        1.8525,
        1.72647,
        1.65868,
        1.50388,
        1.58882,
        1.32898,
        1.47054,
        1.25703,
        1.50049,
        1.60893,
        1.42778,
        1.7744,
        1.3584,
        1.69569,
        1.66528,
        1.64407,
        1.41635,
        1.47022,
        1.47455,
        1.33658,
        1.37953,
        1.37684,
        1.32896,
        1.36762,
        1.40716,
        1.45901,
        1.40587,
        1.3288,
        1.30037,
        1.28922,
        1.34463,
        1.38514,
        1.30734,
        1.2853,
        1.33947,
        1.32898,
        1.37495,
        1.35751,
        1.34777,
        1.32951,
        1.29405,
        1.3498,
        1.33559,
        1.28553,
        1.30596,
        1.33275,
        1.34911,
        1.31729,
        1.34034,
        1.30381,
        1.32058,
        1.33524,
        1.42495,
        1.40079,
        1.37442,
        1.33639,
        1.36476,
        1.43815,
        1.35322,
        1.42639,
        1.43027,
        1.37816,
        1.31795,
        1.28448,
        1.36796,
        1.39293,
        1.35076,
        1.37299,
        1.38027,
        1.30478,
        1.28121,
        1.28609,
        1.31258,
        1.3034,
        1.25233,
        1.29131,
        1.34159,
        1.31278,
        1.32723,
        1.32203,
        1.36002,
        1.34468,
        1.32814,
        1.32894,
        1.28825,
        1.27664,
        1.31152,
        1.30294,
        1.34516,
        1.2485,
        1.29056,
        1.31335,
        1.29681,
        1.30641,
        1.34585,
        1.33079,
        1.36147,
        1.3745,
        1.30914,
        1.26069,
        1.34755,
        1.34241,
        1.28677,
        1.36748,
        1.37394,
        1.35177,
        1.38225,
        1.40312,
        1.38255,
        1.217,
        1.41374,
        1.40263,
        1.31708,
        1.35539,
        1.23414,
        1.48905,
        1.47943,
        1.69597,
        1.86564,
        1.7797,
        1.53994,
        1.56914,
        1.64304,
        1.36243,
        1.33848,
        1.23361,
        1.2447,
        1.31153,
        1.35899,
        1.37693,
        1.42653,
        1.41317,
        1.36998,
        1.37543,
        1.36506,
        1.33674,
        1.40553,
        1.35179,
        1.36212,
        1.30477,
        1.3673,
        1.3484,
        1.37306,
        1.35703,
        1.43135,
        1.32779,
        1.29336,
        1.32738,
        1.36874,
        1.4029,
        1.41539,
        1.45216,
        1.34208,
        1.36655,
        1.418,
        1.46279,
        1.40682,
        1.49861,
        1.51743,
        1.51055,
        1.486,
        1.57105,
        1.64817,
        1.56618,
        1.5301,
        1.47862,
        1.48548,
        1.42893,
        1.34697,
        null,
        1.23179,
        1.30153,
        1.24501,
        1.26702,
        1.32212,
        1.29931,
        1.27974,
        1.24746,
        1.23532,
        1.21291,
        1.25384,
        1.14449,
        1.18258,
        1.28425,
        1.33882,
        1.25553,
        1.22685,
        1.26258,
        1.24127,
        1.21794,
        1.27019,
        1.16311,
        1.23123,
        1.28902,
        1.24008,
        1.23359,
        1.26173,
        1.29061,
        1.24757,
        1.24872,
        1.27344,
        1.29298,
        1.22312,
        1.1933,
        1.22608,
        1.27608,
        1.29266,
        1.29711,
        1.28075,
        1.23888,
        1.237,
        1.28305,
        1.23407,
        1.23252,
        1.23433,
        1.29659,
        1.21653,
        1.17504,
        1.09658,
        1.20436,
        1.21053,
        1.23376,
        1.22075,
        1.29479,
        1.27011,
        1.20816,
        1.3582,
        1.2368,
        1.22292,
        1.38367,
        1.23472,
        1.40838,
        1.43634,
        1.08086,
        1.40402,
        1.57874,
        1.43541,
        1.30935,
        1.23688,
        1.25968,
        1.39497,
        1.2521,
        1.25332,
        1.59903,
        1.50191,
        1.37454,
        1.34621,
        1.28152,
        1.31892,
        1.22887,
        1.25518,
        1.27556,
        1.19857,
        1.2902,
        1.29489,
        1.2914,
        1.256,
        1.29748,
        1.25967,
        1.24729,
        1.2408,
        1.2264,
        1.19489,
        1.24499,
        1.31824,
        1.31183,
        1.23995,
        1.25813,
        1.28736,
        1.24848,
        1.20412,
        1.25859,
        1.29284,
        1.22096,
        1.16305,
        1.16004,
        1.20098,
        1.26395,
        1.27649,
        1.30947,
        1.2825,
        1.2395,
        1.26747,
        1.29856,
        1.24206,
        1.18985,
        1.2093,
        1.23362,
        1.19575,
        1.21694,
        1.17194,
        1.17183,
        1.14717,
        1.22593,
        1.23814,
        1.27448,
        1.21092,
        1.20148,
        1.19967,
        1.19658,
        1.19271,
        1.21494,
        1.21961,
        1.2121,
        1.1581,
        1.26743,
        1.20935,
        1.22564,
        1.23396,
        1.24054,
        1.21193,
        1.15486,
        1.22584,
        1.19135,
        1.20829,
        1.2355,
        1.13071,
        1.25459,
        1.27639,
        1.26002,
        1.28385,
        1.27225,
        1.29365,
        1.20956,
        1.24525,
        1.18255,
        1.17624,
        1.19094,
        1.32373,
        1.34417,
        1.16924,
        1.14396,
        1.07982,
        1.26006,
        1.20164,
        1.15956,
        1.0765,
        1.1919,
        1.22068,
        1.33494,
        1.42603,
        1.28634,
        1.22845,
        1.29129,
        1.19384,
        1.29764,
        1.2915,
        1.17284,
        1.20542,
        1.22735,
        1.31431,
        1.27766,
        1.27088,
        1.05366,
        1.25375,
        1.09436,
        1.46117,
        1.49521,
        1.62162,
        1.2731,
        1.37803,
        1.53537,
        1.50381,
        1.40723,
        1.27187,
        1.40303,
        1.18387,
        1.2255,
        1.27192,
        1.13209,
        1.27152,
        1.31851,
        1.3304,
        1.23898,
        1.25797,
        1.27371,
        1.26129,
        1.23672,
        1.26316,
        1.19913,
        1.25287,
        1.25787,
        1.20549,
        1.25673,
        1.24864,
        1.21287,
        1.22304,
        1.22194,
        1.23782,
        1.24986,
        1.2062,
        1.19715,
        1.30745,
        1.24101,
        1.21269,
        1.26142,
        1.16477,
        1.1835,
        1.20978,
        1.35243,
        1.3207,
        1.32046,
        1.37472,
        1.32664,
        1.44805,
        1.4751,
        1.39402,
        1.4397,
        1.40558,
        1.43792,
        1.41585,
        1.34076,
        1.35258,
        1.30902,
        1.31845,
        1.20436,
        1.36395,
        1.30124,
        1.42223,
        1.34344,
        1.47988,
        1.544,
        1.53423,
        1.61365,
        1.45665,
        1.6442,
        1.5442,
        1.6515,
        1.57758,
        1.60911,
        1.3538,
        1.35866,
        1.49497,
        1.23948,
        1.33021,
        1.32663,
        1.26931,
        1.29477,
        1.40726,
        1.3188,
        1.18093,
        1.23294,
        1.30542,
        1.41102,
        1.31581,
        1.30492,
        1.35167,
        1.35127,
        1.26042,
        1.2904,
        1.18443,
        1.22257,
        1.18609,
        1.19517,
        1.32345,
        1.23439,
        1.2971,
        1.25482,
        1.29595,
        1.32152,
        1.21029,
        1.43269,
        1.30264,
        1.26537,
        1.49654,
        1.27808,
        1.30154,
        1.38077,
        1.22985,
        1.28406,
        1.20985,
        1.27252,
        1.29021,
        1.3038,
        1.33962,
        1.34067,
        1.23574,
        1.32394,
        1.32629,
        1.24951,
        1.2831,
        1.27374,
        1.25633,
        1.29055,
        1.23014,
        1.26218,
        1.23867,
        1.22577,
        1.2725,
        1.25728,
        1.22148,
        1.19749,
        1.28068,
        1.23902,
        1.14554,
        1.24654,
        1.27277,
        1.24359,
        1.23024,
        1.21113,
        1.30279,
        1.23809,
        1.22032,
        1.21716,
        1.21512,
        1.20234,
        1.27619,
        1.24238,
        1.28524,
        1.20445,
        1.27588,
        1.26164,
        1.18827,
        1.28028,
        1.26583,
        1.24173,
        1.21712,
        1.19762,
        1.265,
        1.28382,
        1.25747,
        1.25703,
        1.27472,
        1.2133,
        1.17548,
        1.2075,
        1.28166,
        1.26557,
        1.2889,
        1.3244,
        1.30991,
        1.23,
        1.24552,
        1.30559,
        1.22951,
        1.31912,
        1.23906,
        1.30303,
        1.32894,
        1.29467,
        1.34584,
        1.38735,
        1.3186,
        1.28316,
        1.23614,
        1.29983,
        1.31983,
        1.42596,
        1.24695,
        1.158,
        1.18987,
        1.25948,
        1.23573,
        1.2331,
        1.29606,
        1.29303,
        1.22998,
        1.24433,
        1.26773,
        1.23247,
        1.22101,
        1.21989,
        1.18211,
        1.23823,
        1.25918,
        1.28244,
        1.26791,
        1.31401,
        1.27855,
        1.30408,
        1.28254,
        1.227,
        1.2642,
        1.24253,
        1.29348,
        1.24816,
        1.30427,
        1.28237,
        1.33911,
        1.31157,
        1.25162,
        1.22121,
        1.19352,
        1.18014,
        1.2426,
        1.09689,
        1.37369,
        1.21014,
        1.32713,
        1.29333,
        1.27789,
        1.27626,
        1.29269,
        1.2851,
        1.22384,
        1.19761,
        1.24746,
        1.33542,
        1.29079,
        1.29509,
        1.2717,
        1.24298,
        1.22447,
        1.2532,
        1.26133,
        1.25806,
        1.22768,
        1.23728,
        1.3336,
        1.22082,
        1.22884,
        1.28668,
        1.32443,
        1.29256,
        1.26642,
        1.27455,
        1.22172,
        1.21851,
        1.24543,
        1.26913,
        1.18316,
        1.15646,
        1.23018,
        1.20548,
        1.19533,
        1.31745,
        1.1985,
        1.23411,
        1.28335,
        1.31875,
        1.29805,
        1.31193,
        1.228,
        1.21716,
        1.24926,
        1.23712,
        1.2527,
        1.25519,
        1.29213,
        1.28958,
        1.26516,
        1.28657,
        1.27946,
        1.24018,
        1.24052,
        1.31281,
        1.27935,
        1.21466,
        1.29304,
        1.31472,
        1.32845,
        1.26063,
        1.20061,
        1.2181,
        1.21987,
        1.32486,
        1.39186,
        1.25587,
        1.26115,
        1.31841,
        1.2365,
        1.36464,
        1.39978,
        1.28717,
        1.31235,
        1.26518,
        1.26087,
        1.30196,
        1.34248,
        1.26145,
        1.24984,
        1.28647,
        1.2335,
        1.21613,
        1.23223,
        1.25387,
        1.20057,
        1.23401,
        1.2611,
        1.27864,
        1.24205,
        1.20672,
        1.27543,
        1.23115,
        1.24135,
        1.20744,
        1.32407,
        1.29348,
        1.2894,
        1.20731,
        1.22334,
        1.24013,
        1.19235,
        1.23709,
        1.29225,
        1.29506,
        1.31995,
        1.24083,
        1.31562,
        1.25188,
        1.29214,
        1.31124,
        1.22612,
        1.28293,
        1.26098,
        1.2218,
        1.09995,
        1.25422,
        1.3104,
        1.34213,
        1.46926,
        1.34169,
        1.27408,
        1.25637,
        1.28504,
        1.27314,
        1.20472,
        1.23238,
        1.32539,
        1.29319,
        1.26027,
        1.22475,
        1.26841,
        1.2851,
        1.2701,
        1.27362,
        1.2379,
        1.25166,
        1.27154,
        1.21406,
        1.24373,
        1.21764,
        1.26403,
        1.2237,
        1.22352,
        1.21923,
        1.22239,
        1.21466,
        1.27893,
        1.27085,
        1.31957,
        1.28494,
        1.24471,
        1.24601,
        1.22344,
        1.19581,
        1.27693,
        1.2888,
        1.3122,
        1.31315,
        1.2755,
        1.3061,
        1.24076,
        1.28305,
        1.28841,
        1.3209,
        1.34857,
        1.30782,
        1.40525,
        1.55933,
        1.59455,
        1.53027,
        1.54091,
        1.48296,
        1.45587,
        1.34404,
        1.39404,
        1.38871,
        1.42846,
        1.34552,
        1.29335,
        1.2619,
        1.3706,
        1.53913,
        1.65336,
        1.29162,
        1.92227,
        1.57143,
        1.50768,
        1.33623,
        1.23824,
        1.27793,
        1.46588,
        1.41181,
        1.37535,
        1.31688,
        1.31971,
        1.18176,
        1.3512,
        1.25198,
        1.37463,
        1.46053,
        1.25788,
        1.19271,
        1.23387,
        1.33269,
        1.31102,
        1.24575,
        1.19295,
        1.29799,
        1.3422,
        1.33843,
        1.29062,
        1.28123,
        1.24449,
        1.33334,
        1.31478,
        1.32027,
        1.30234,
        1.26402,
        1.19527,
        1.18221,
        1.20171,
        1.34689,
        1.25043,
        1.17857,
        1.07593,
        1.18387,
        1.17047,
        1.33687,
        1.34097,
        1.31036,
        1.32997,
        1.32984,
        1.32868,
        1.2167,
        1.22234,
        1.25478,
        1.28491,
        1.24297,
        1.24319,
        1.27914,
        1.28564,
        1.25067,
        1.22654,
        1.27815,
        1.32729,
        1.26549,
        1.26392,
        1.32374,
        1.32983,
        1.26153,
        1.27862,
        1.31838,
        1.2851,
        1.26302,
        1.2626,
        1.281,
        1.25227,
        1.21938,
        1.26551,
        1.21514,
        1.23187,
        1.32197,
        1.33514,
        1.25233,
        1.20809,
        1.1751,
        1.21133,
        1.25813,
        1.33157,
        1.32743,
        1.24682,
        1.22844,
        1.26632,
        1.23565,
        1.22344,
        1.20561,
        1.25634,
        1.27406,
        1.25705,
        1.20854,
        1.30975,
        1.27135,
        1.35634,
        1.3532,
        1.29366,
        1.28814,
        1.26669,
        1.23002,
        1.24704,
        1.21576,
        1.2348,
        1.2285,
        1.23971,
        1.23245,
        1.22697,
        1.2903,
        1.28219,
        1.23226,
        1.22493,
        1.20557,
        1.28704,
        1.26688,
        1.24358,
        1.24616,
        1.26808,
        1.29376,
        1.27955,
        1.24715,
        1.27197,
        1.24383,
        1.28188,
        1.26947,
        1.25983,
        1.25001,
        1.21756,
        1.26591,
        1.23093,
        1.26121,
        1.18285,
        1.21299,
        1.19682,
        1.23652,
        1.31941,
        1.24124,
        1.25469,
        1.33718,
        1.27337,
        1.29918,
        1.36185,
        1.31648,
        1.37304,
        1.2854,
        1.29821,
        1.32246,
        1.343,
        1.29748,
        1.42123,
        1.44323,
        1.15852,
        1.22841,
        1.22399,
        1.27416,
        1.38057,
        1.41112,
        1.37968,
        1.29456,
        1.27415,
        1.28996,
        1.20662,
        1.24612,
        1.24123,
        1.14926,
        1.34001,
        1.26773,
        1.25605,
        1.29078,
        1.26204,
        1.25221,
        1.28312,
        1.27765,
        1.22051,
        1.25607,
        1.29142,
        1.25243,
        1.2584,
        1.24658,
        1.30805,
        1.33713,
        1.25222,
        1.29121,
        1.25103,
        1.2562,
        1.29919,
        1.27402,
        1.23801,
        1.28519,
        1.25093,
        1.30339,
        1.30372,
        1.28163,
        1.2433,
        1.25892,
        1.28175,
        1.27394,
        1.26117,
        1.31175,
        1.27229,
        1.26008,
        1.29615,
        1.32647,
        1.28514,
        1.30142,
        1.28294,
        1.29966,
        1.29682,
        1.4066,
        1.33465,
        1.26645,
        1.25962,
        1.2124,
        1.29084,
        1.29381,
        1.26102,
        1.26879,
        1.27338,
        1.31255,
        1.22468,
        1.2737,
        1.2777,
        1.29171,
        1.26204,
        1.29983,
        1.24384,
        1.2675,
        1.26114,
        1.2237,
        1.24407,
        1.23222,
        1.23858,
        1.23253,
        1.25405,
        1.2916,
        1.24226,
        1.29678,
        1.28062,
        1.28145,
        1.25764,
        1.32724,
        1.27268,
        1.22759,
        1.24622,
        1.25643,
        1.27123,
        1.32207,
        1.24291,
        1.2547,
        1.34569,
        1.27371,
        1.23013,
        1.22385,
        1.29671,
        1.34907,
        1.29913,
        1.2483,
        1.25951,
        1.28359,
        1.26702,
        1.24961,
        1.24522,
        1.23691,
        1.20974,
        1.27267,
        1.23021,
        1.23884,
        1.24333,
        1.23353,
        1.29779,
        1.26333,
        1.23616,
        1.21712,
        1.24232,
        1.21976,
        1.24419,
        1.23716,
        1.2296,
        1.25973,
        1.28418,
        1.25891,
        1.23457,
        1.23889,
        1.24588,
        1.30419,
        1.26354,
        1.27792,
        1.26565,
        1.29316,
        1.32482,
        1.29039,
        1.27074,
        1.28145,
        1.31114,
        1.29641,
        1.37989,
        1.28433,
        1.27745,
        1.36961,
        1.37447,
        1.31637,
        1.32882,
        1.49275,
        1.35334,
        1.29275,
        1.23678,
        1.2981,
        1.29015,
        1.32836,
        1.32774,
        1.28018,
        1.2772,
        1.30759,
        1.35067,
        1.27293,
        1.2853,
        1.25483,
        1.26077,
        1.28259,
        1.30417,
        1.26356,
        1.29186,
        1.24551,
        1.23374,
        1.22142,
        1.25948,
        1.29983,
        1.27775,
        1.30118,
        1.266,
        1.30126,
        1.24998,
        1.20834,
        1.25182,
        1.19991,
        1.24641,
        1.32827,
        1.31625,
        1.34108,
        1.30995,
        1.29312,
        1.26655,
        1.31213,
        1.34576,
        1.30099,
        1.27126,
        1.33657,
        1.40461,
        1.42279,
        1.51749,
        1.59621,
        1.53254,
        1.47259,
        1.34148,
        1.31693,
        1.32868,
        1.3637,
        1.26123,
        1.32602,
        1.31976,
        1.28517,
        1.27417,
        1.33711,
        1.2405,
        1.20839,
        1.20679,
        1.52246,
        1.91465,
        1.71815,
        1.80022,
        1.34188,
        1.30651,
        1.30597,
        1.49819,
        1.42167,
        1.4442,
        1.32419,
        1.31008,
        1.29698,
        1.26088,
        1.26305,
        1.3743,
        1.29624,
        1.3067,
        1.29975,
        1.24719,
        1.29558,
        1.29208,
        1.22861,
        1.3559,
        1.27401,
        1.32205,
        1.27381,
        1.22852,
        1.27925,
        1.29938,
        1.22569,
        1.30802,
        1.31015,
        1.26012,
        1.23961,
        1.27058,
        1.26724,
        1.30195,
        1.33357,
        1.24223,
        1.28138,
        1.25975,
        1.28337,
        1.21226,
        1.28032,
        1.29802,
        1.31383,
        1.27193,
        1.31825,
        1.27494,
        1.27497,
        1.28636,
        1.32855,
        1.22834,
        1.1848,
        1.25869,
        1.27646,
        1.2871,
        1.25908,
        1.28866,
        1.25143,
        1.3005,
        1.25744,
        1.25474,
        1.2744,
        1.27057,
        1.29965,
        1.27627,
        1.20628,
        1.25514,
        1.27872,
        1.27584,
        1.30078,
        1.24978,
        1.2744,
        1.25926,
        1.26721,
        1.2782,
        1.25327,
        1.32698,
        1.29332,
        1.30767,
        1.27726,
        1.26069,
        1.2368,
        1.30605,
        1.26958,
        1.20349,
        1.23275,
        1.24192,
        1.2155,
        1.24666,
        1.29937,
        1.28434,
        1.26299,
        1.30014,
        1.29585,
        1.29565,
        1.23341,
        1.26259,
        1.26831,
        1.28718,
        1.27394,
        1.30591,
        1.30835,
        1.30265,
        1.26996,
        1.26897,
        1.31529,
        1.27828,
        1.26933,
        1.3291,
        1.2977,
        1.28684,
        1.29287,
        1.25851,
        1.28193,
        1.21663,
        1.26992,
        1.31026,
        1.29486,
        1.30939,
        1.2338,
        1.28771,
        1.28305,
        1.30535,
        1.27955,
        1.26699,
        1.26158,
        1.27896,
        1.24717,
        1.23425,
        1.258,
        1.24751,
        1.2901,
        1.26148,
        1.23422,
        1.24023,
        1.24273,
        1.29782,
        1.27811,
        1.25459,
        1.27365,
        1.26881,
        1.25383,
        1.23057,
        1.2761,
        1.27092,
        1.29328,
        1.25687,
        1.24443,
        1.31114,
        1.27265,
        1.25007,
        1.24001,
        1.25258,
        1.26053,
        1.27141,
        1.25351,
        1.24003,
        1.25388,
        1.26925,
        1.2482,
        1.21455,
        1.22447,
        1.227,
        1.26449,
        1.24205,
        1.23778,
        1.26191,
        1.28262,
        1.27292,
        1.21017,
        1.26688,
        1.26334,
        1.27402,
        1.26018,
        1.2408,
        1.27964,
        1.29829,
        1.26165,
        1.30576,
        1.33006,
        1.25716,
        1.30967,
        1.28228,
        1.27235,
        1.24329,
        1.2423,
        1.2545,
        1.26084,
        1.27436,
        1.25457,
        1.26391,
        1.31231,
        1.28299,
        1.28172,
        1.28333,
        1.29237,
        1.32423,
        1.31173,
        1.32028,
        1.32444,
        1.31148,
        1.28291,
        1.21802,
        1.30811,
        1.286,
        1.27421,
        1.29917,
        1.29348,
        1.25724,
        1.29886,
        1.3534,
        1.27594,
        1.27707,
        1.29751,
        1.33806,
        1.34069,
        1.29678,
        1.30697,
        1.3006,
        1.27851,
        1.28295,
        1.28791,
        1.27716,
        1.33533,
        1.30601,
        1.3096,
        1.29313,
        1.3228,
        1.30403,
        1.27046,
        1.23347,
        1.29797,
        1.3138,
        1.27787,
        1.33239,
        1.31968,
        1.33694,
        1.30201,
        1.28558,
        1.28636,
        1.30217,
        1.30063,
        1.26005,
        1.24842,
        1.26863,
        1.24942,
        1.25549,
        1.2539,
        1.28319,
        1.2562,
        1.26816,
        1.2673,
        1.2099,
        1.24751,
        1.2591,
        1.27057,
        1.23015,
        1.25147,
        1.27169,
        1.26783,
        1.2957,
        1.26762,
        1.30416,
        1.27964,
        1.3274,
        1.32156,
        1.30215,
        1.32568,
        1.28856,
        1.30622,
        1.28964,
        1.29322,
        1.33469,
        1.31478,
        1.3016,
        1.27139,
        1.3262,
        1.33538,
        1.36338,
        1.34051,
        1.33905,
        1.3167,
        1.34294,
        1.32509,
        1.34179,
        1.28638,
        1.28418,
        1.27576,
        1.31487,
        1.31085,
        1.23527,
        1.2921,
        1.25685,
        1.27625,
        1.2942,
        1.26358,
        1.29662,
        1.27473,
        1.30848,
        1.28007,
        1.26333,
        1.28564,
        1.31371,
        1.25625,
        1.2414,
        1.23079,
        1.21435,
        1.28928,
        1.30677,
        1.30734,
        1.28355,
        1.24065,
        1.3041,
        1.32023,
        1.32049,
        1.25585,
        1.35156,
        1.31824,
        1.26806,
        1.31545,
        1.3185,
        1.26254,
        1.29159,
        1.36467,
        1.34603,
        1.3337,
        1.37164,
        1.29305,
        1.3143,
        1.33925,
        1.34153,
        1.30215,
        1.32576,
        1.32581,
        1.30077,
        1.24782,
        1.28103,
        1.31466,
        1.31733,
        1.32189,
        1.30972,
        1.2819,
        1.25906,
        1.27451,
        1.28458,
        1.32247,
        1.32193,
        1.31023,
        1.32153,
        1.32332,
        1.28796,
        1.31086,
        1.28413,
        1.30749,
        1.30371,
        1.25641,
        1.27443,
        1.30205,
        1.27991,
        1.32164,
        1.3147,
        1.3276,
        1.26488,
        1.30222,
        1.34572,
        1.37722,
        1.46791,
        1.53619,
        1.52838,
        1.56185,
        1.51345,
        1.47799,
        1.42992,
        1.45292,
        1.3441,
        1.28315,
        1.33329,
        1.41489,
        1.43959,
        1.50434,
        1.39549,
        1.34948,
        1.41827,
        1.5385,
        1.62867,
        1.76744,
        1.71841,
        1.49719,
        1.55855,
        1.55477,
        1.59179,
        1.44546,
        1.38296,
        1.35594,
        1.36831,
        1.45095,
        1.29471,
        1.36056,
        1.42508,
        1.38774,
        1.35999,
        1.31895,
        1.31141,
        1.3374,
        1.28612,
        1.32352,
        1.33429,
        1.37129,
        1.28791,
        1.29821,
        1.24768,
        1.3127,
        1.24753,
        1.28576,
        1.26962,
        1.24509,
        1.3434,
        1.25657,
        1.28824,
        1.30964,
        1.31332,
        1.28255,
        1.31269,
        1.23789,
        1.25123,
        1.29741,
        1.31299,
        1.31745,
        1.28744,
        1.26375,
        1.24987,
        1.2758,
        1.33742,
        1.35776,
        1.31143,
        1.2293,
        1.28469,
        1.2735,
        1.33429,
        1.29063,
        1.32481,
        1.25753,
        1.30176,
        1.32952,
        1.29758,
        1.28994,
        1.27374,
        1.32267,
        1.32879,
        1.30692,
        1.29203,
        1.27788,
        1.32203,
        1.33223,
        1.27475,
        1.28003,
        1.30415,
        1.28075,
        1.32355,
        1.28496,
        1.29274,
        1.26797,
        1.29031,
        1.30106,
        1.27509,
        1.29883,
        1.30873,
        1.26942,
        1.27665,
        1.25918,
        1.28586,
        1.30633,
        1.27384,
        1.25449,
        1.26911,
        1.28597,
        1.26326,
        1.28157,
        1.28737,
        1.25807,
        1.27991,
        1.27271,
        1.25981,
        1.24322,
        1.28184,
        1.25299,
        1.26346,
        1.26471,
        1.28076,
        1.2864,
        1.27871,
        1.28696,
        1.32843,
        1.30879,
        1.29965,
        1.28307,
        1.3132,
        1.27235,
        1.28282,
        1.31449,
        1.28327,
        1.24138,
        1.26512,
        1.25609,
        1.29299,
        1.25367,
        1.28133,
        1.27878,
        1.32016,
        1.30207,
        1.33492,
        1.25886,
        1.32066,
        1.35318,
        1.30883,
        1.31424,
        1.31927,
        1.2781,
        1.28791,
        1.28564,
        1.34348,
        1.30754,
        1.28429,
        1.24931,
        1.31541,
        1.26639,
        1.25626,
        1.24351,
        1.24031,
        1.24768,
        1.27875,
        1.29751,
        1.24664,
        1.25824,
        1.23591,
        1.25935,
        1.26107,
        1.25389,
        1.27484,
        1.26915,
        1.27083,
        1.26831,
        1.24659,
        1.27108,
        1.2845,
        1.25459,
        1.23874,
        1.28248,
        1.23895,
        1.21291,
        1.28326,
        1.30699,
        1.26027,
        1.24013,
        1.26753,
        1.31464,
        1.28455,
        1.2836,
        1.26554,
        1.26538,
        1.28383,
        1.2693,
        1.26391,
        1.26336,
        1.29066,
        1.29842,
        1.25808,
        1.2246,
        1.27334,
        1.26009,
        1.26952,
        1.27672,
        1.28207,
        1.2984,
        1.30665,
        1.37215,
        1.34485,
        1.30622,
        1.36731,
        1.29976,
        1.30158,
        1.29165,
        1.27449,
        1.27101,
        1.27713,
        1.31362,
        1.31237,
        1.29705,
        1.24394,
        1.25722,
        1.2608,
        1.27611,
        1.2509,
        1.28268,
        1.25963,
        1.32134,
        1.32513,
        1.29606,
        1.29881,
        1.27885,
        1.29411,
        1.27293,
        1.25168,
        1.25668,
        1.21801,
        1.24128,
        1.28962,
        1.30229,
        1.25435,
        1.28437,
        1.29614,
        1.26888,
        1.2777,
        1.31747,
        1.29832,
        1.24354,
        1.26503,
        1.27942,
        1.33,
        1.34166,
        1.3065,
        1.39473,
        1.39413,
        1.39742,
        1.35111,
        1.38793,
        1.35391,
        1.5244,
        1.57341,
        1.32724,
        1.35408,
        1.44757,
        1.34939,
        1.37689,
        1.35215,
        1.34131,
        1.37751,
        1.28078,
        1.2864,
        1.31306,
        1.26203,
        1.31659,
        1.32885,
        1.34782,
        1.33552,
        1.39709,
        1.22813,
        1.24751,
        1.25214,
        1.25131,
        1.19854,
        1.23409,
        1.28575,
        1.31203,
        1.28439,
        1.20036,
        1.20437,
        1.19105,
        1.21305,
        1.2555,
        1.27175,
        1.20568,
        1.24249,
        1.32718,
        1.24083,
        1.25119,
        1.22683,
        1.25569,
        1.23737,
        1.26706,
        1.26233,
        1.24638,
        1.25203,
        1.25538,
        1.27168,
        1.28273,
        1.23653,
        1.22263,
        1.21069,
        1.2582,
        1.28903,
        1.27834,
        1.28587,
        1.24382,
        1.25306,
        1.31547,
        1.32339,
        1.25168,
        1.26342,
        1.2788,
        1.27888,
        1.30723,
        1.32692,
        1.3052,
        1.37951,
        1.32037,
        1.32142,
        1.29286,
        1.34402,
        1.32351,
        1.29558,
        1.26755,
        1.26927,
        1.34057,
        1.27915,
        1.2908,
        1.26079,
        1.22136,
        1.23443,
        1.25252,
        1.27291,
        1.30874,
        1.29866,
        1.27689,
        1.28904,
        1.24581,
        1.26503,
        1.28082,
        1.28289,
        1.27175,
        1.24298,
        1.26643,
        1.25694,
        1.28093,
        1.2674,
        1.29856,
        1.27094,
        1.23372,
        1.22816,
        1.27195,
        1.26642,
        1.2895,
        1.24449,
        1.24299,
        1.32122,
        1.32583,
        1.29246,
        1.27081,
        1.24694,
        1.27537,
        1.27036,
        1.30772,
        1.2842,
        1.26013,
        1.28643,
        1.2587,
        1.28491,
        1.2885,
        1.29255,
        1.26256,
        1.273,
        1.21635,
        1.28105,
        1.24829,
        1.20593,
        1.24576,
        1.25716,
        1.25912,
        1.2559,
        1.29207,
        1.28146,
        1.30314,
        1.30159,
        1.3217,
        1.33221,
        1.34547,
        1.35099,
        1.37293,
        1.42858,
        1.485,
        1.56212,
        1.53879,
        1.52528,
        1.51173,
        1.45336,
        1.35776,
        1.33332,
        1.3663,
        1.42886,
        1.37373,
        1.2721,
        1.3624,
        1.31594,
        1.33035,
        1.56865,
        1.52525,
        1.36017,
        1.55921,
        1.44551,
        1.53736,
        2.20269,
        1.15593,
        1.18401,
        1.44085,
        1.40041,
        1.33233,
        1.40697,
        1.48338,
        1.44474,
        1.31006,
        1.47677,
        1.56377,
        1.47274,
        1.44467,
        1.35496,
        1.20509,
        1.4082,
        1.93115,
        1.75776,
        1.3466,
        1.3826,
        1.45464,
        1.37594,
        1.33839,
        1.32577,
        1.29964,
        1.34415,
        1.35552,
        1.31417,
        1.33339,
        1.35126,
        1.26855,
        1.22313,
        1.29826,
        1.38164,
        1.23952,
        1.24922,
        1.27961,
        1.32571,
        1.26275,
        1.22066,
        1.26798,
        1.35302,
        1.299,
        1.26014,
        1.28827,
        1.27467,
        1.26567,
        1.2495,
        1.26696,
        1.2588,
        1.23157,
        1.27546,
        1.31296,
        1.26428,
        1.25086,
        1.25193,
        1.29174,
        1.31971,
        1.30355,
        1.25085,
        1.22842,
        1.2943,
        1.28609,
        1.25442,
        1.20511,
        1.22844,
        1.27538,
        1.27142,
        1.21216,
        1.25075,
        1.25483,
        1.30233,
        1.28155,
        1.27122,
        1.29839,
        1.28462,
        1.2838,
        1.24965,
        1.23954,
        1.25228,
        1.24482,
        1.23236,
        1.24774,
        1.25351,
        1.27685,
        1.25148,
        1.28748,
        1.33168,
        1.25831,
        1.25568,
        1.28933,
        1.2508,
        1.27658,
        1.25438,
        1.28291,
        1.28234,
        1.23342,
        1.24933,
        1.25919,
        1.25075,
        1.26515,
        1.29846,
        1.27837,
        1.27903,
        1.26002,
        1.22495,
        1.25463,
        1.20108,
        1.25086,
        1.28806,
        1.29093,
        1.28612,
        1.26917,
        1.29464,
        1.25643,
        1.27058,
        1.24149,
        1.26634,
        1.22264,
        1.29,
        1.28586,
        1.30352,
        1.27881,
        1.33711,
        1.30215,
        1.21336,
        1.31323,
        1.31165,
        1.2958,
        1.25845,
        1.34843,
        1.32865,
        null,
        1.24544,
        1.27592,
        1.28558,
        1.22977,
        1.21925,
        1.24631,
        1.21015,
        1.23209,
        1.25652,
        1.2839,
        1.21995,
        1.20135,
        1.1623,
        1.15484,
        1.17378,
        1.18743,
        1.19709,
        1.1901,
        1.13105,
        1.15719,
        1.15366,
        1.18874,
        1.23425,
        1.24789,
        1.25742,
        1.17365,
        1.1786,
        1.23396,
        1.23099,
        1.29954,
        1.30704,
        1.23428,
        1.23697,
        1.18142,
        1.23282,
        1.20862,
        1.19303,
        1.16778,
        1.19373,
        1.19236,
        1.19969,
        1.18091,
        1.19062,
        1.28796,
        1.2483,
        1.23382,
        1.26879,
        1.28722,
        1.21835,
        1.18119,
        1.21482,
        1.18676,
        1.18804,
        1.15583,
        1.26317,
        1.2127,
        1.29056,
        1.25265,
        1.26618,
        1.24823,
        1.18489,
        1.20954,
        1.18712,
        1.23736,
        1.175,
        1.18571,
        1.20473,
        1.13261,
        1.17547,
        1.22688,
        1.20499,
        1.20364,
        1.23692,
        1.22192,
        1.24002,
        1.29256,
        1.21522,
        1.24019,
        1.27787,
        1.23703,
        1.18676,
        1.19911,
        1.19548,
        1.19929,
        1.15772,
        1.21356,
        1.34091,
        1.26278,
        1.26842,
        1.24448,
        1.30489,
        1.21304,
        1.23205,
        1.32711,
        1.28864,
        1.2557,
        1.36312,
        1.36128,
        1.4658,
        1.5021,
        1.32426,
        1.25086,
        1.34345,
        1.43629,
        1.31602,
        1.26052,
        1.28261,
        1.26025,
        1.33985,
        1.19042,
        1.20853,
        1.08152,
        1.35273,
        1.66402,
        1.63459,
        1.97045,
        1.62544,
        1.5554,
        1.46871,
        1.19318,
        1.30088,
        1.32767,
        1.26426,
        1.24711,
        1.26898,
        1.30398,
        1.26189,
        1.32874,
        1.24074,
        1.14116,
        1.27791,
        1.28947,
        1.16018,
        1.27498,
        1.26043,
        1.23118,
        1.22339,
        1.25657,
        1.18864,
        1.24077,
        1.25575,
        1.22246,
        1.21438,
        1.24262,
        1.23487,
        1.21671,
        1.21171,
        1.18017,
        1.14091,
        1.19911,
        1.21995,
        1.17769,
        1.1749,
        1.15888,
        1.19659,
        1.22318,
        1.20294,
        1.21726,
        1.20813,
        1.20278,
        1.19787,
        1.15446,
        1.23682,
        1.20111,
        1.20948,
        1.17015,
        1.20888,
        1.21457,
        1.24593,
        1.23707,
        1.27342,
        1.22681,
        1.1986,
        1.25168,
        1.15802,
        1.25867,
        1.21731,
        1.18696,
        1.2257,
        1.20091,
        1.23358,
        1.21648,
        1.26119,
        1.18294,
        1.22545,
        1.16236,
        1.19852,
        1.23104,
        1.15347,
        1.21442,
        1.24622,
        1.22852,
        1.16077,
        1.2,
        1.21942,
        1.23662,
        1.26688,
        1.22087,
        1.24014,
        1.20869,
        1.2728,
        1.22684,
        1.14422,
        1.18232,
        1.15866,
        1.1894,
        1.20392,
        1.19158,
        1.25365,
        1.17707,
        1.21293,
        1.19166,
        1.22524,
        1.24197,
        1.24534,
        1.2269,
        1.21153,
        1.184,
        1.20991,
        1.18093,
        1.17838,
        1.22028,
        1.1429,
        1.21971,
        1.24174,
        1.22025,
        1.17896,
        1.21812,
        1.17614,
        1.1494,
        1.20075,
        1.17226,
        1.19015,
        1.1748,
        1.22775,
        1.20585,
        1.18296,
        1.16002,
        1.20434,
        1.19393,
        1.20945,
        1.23274,
        1.20815,
        1.20309,
        1.22706,
        1.22846,
        1.23843,
        1.24664,
        1.24249,
        1.2508,
        1.26266,
        1.31564,
        1.16867,
        1.15518,
        1.20591,
        1.22384,
        1.21485,
        1.16996,
        1.20707,
        1.15092,
        1.20166,
        1.17592,
        1.1875,
        1.16347,
        1.18725,
        1.16032,
        1.26249,
        1.20764,
        1.21596,
        1.20209,
        1.16902,
        1.22183,
        1.27989,
        1.21578,
        1.26406,
        1.27118,
        1.28718,
        1.28434,
        1.2083,
        1.15578,
        1.17872,
        1.24434,
        1.28481,
        1.32896,
        1.2773,
        1.20925,
        1.27733,
        1.32419,
        1.2319,
        1.30859,
        1.29896,
        1.1621,
        1.26365,
        1.17692,
        1.21996,
        1.26072,
        1.26873,
        1.29271,
        1.22156,
        1.21027,
        1.24078,
        1.20987,
        1.21277,
        1.25453,
        1.27961,
        1.22653,
        1.25211,
        1.18115,
        1.26095,
        1.21078,
        1.21594,
        1.33022,
        1.29182,
        1.24866,
        1.22973,
        1.24242,
        1.22487,
        1.27477,
        1.24585,
        1.2075,
        1.22097,
        1.15827,
        1.15615,
        1.16189,
        1.22055,
        1.21236,
        1.21468,
        1.21102,
        1.19675,
        1.16386,
        1.22683,
        1.2444,
        1.23267,
        1.24644,
        1.26354,
        1.18714,
        1.16656,
        1.17062,
        1.17576,
        1.25061,
        1.16243,
        1.19646,
        1.24093,
        1.24314,
        1.19971,
        1.19469,
        1.21951,
        1.24301,
        1.21871,
        1.22452,
        1.19398,
        1.21767,
        1.20382,
        1.24146,
        1.19486,
        1.25786,
        1.25267,
        1.22311,
        1.28333,
        1.25913,
        1.25574,
        1.23544,
        1.21536,
        1.22548,
        1.20475,
        1.21868,
        1.21372,
        1.21629,
        1.28765,
        1.25243,
        1.28368,
        1.27666,
        1.23656,
        1.24894,
        1.19672,
        1.29552,
        1.26494,
        1.20935,
        1.28152,
        1.23081,
        1.22147,
        1.25493,
        1.22923,
        1.20868,
        1.18127,
        1.29437,
        1.26713,
        1.1901,
        1.20924,
        1.26702,
        1.25903,
        1.21674,
        1.2319,
        1.18562,
        1.24185,
        1.22443,
        1.24767,
        1.24323,
        1.30122,
        1.24031,
        1.22393,
        1.23053,
        1.26758,
        1.2193,
        1.22469,
        1.26381,
        1.25169,
        1.30293,
        1.26465,
        1.25096,
        1.29279,
        1.2759,
        1.24223,
        1.26592,
        1.22574,
        1.23877,
        1.23042,
        1.23144,
        1.26808,
        1.24812,
        1.26482,
        1.23591,
        1.21285,
        1.19187,
        1.27984,
        1.23294,
        1.2307,
        1.19989,
        1.21489,
        1.15058,
        1.24645,
        1.30991,
        1.24572,
        1.24257,
        1.23191,
        1.2738,
        1.18913,
        1.24269,
        1.22727,
        1.14773,
        1.18681,
        1.22343,
        1.18953,
        1.24149,
        1.24502,
        1.1859,
        1.19079,
        1.22828,
        1.24896,
        1.19477,
        1.19076,
        1.2157,
        1.239,
        1.29704,
        1.23093,
        1.17914,
        1.21326,
        1.24516,
        1.22797,
        1.2251,
        1.20801,
        1.27236,
        1.27933,
        1.26015,
        1.33658,
        1.25567,
        1.27916,
        1.2996,
        1.3661,
        1.47698,
        1.50487,
        1.50044,
        1.50258,
        1.46022,
        1.43232,
        1.26086,
        1.34395,
        1.25632,
        1.32255,
        1.23391,
        1.36612,
        1.38644,
        1.24392,
        1.26768,
        1.36322,
        1.35066,
        1.38856,
        1.23671,
        1.55947,
        1.59899,
        1.59068,
        1.58552,
        1.41244,
        1.37805,
        1.40294,
        1.37054,
        1.35529,
        1.39917,
        1.28689,
        1.23353,
        1.26702,
        1.24149,
        1.21455,
        1.25162,
        1.23783,
        1.2571,
        1.27254,
        1.21145,
        1.23855,
        1.21943,
        1.27471,
        1.31807,
        1.27242,
        1.27888,
        1.25655,
        1.25009,
        1.23373,
        1.32618,
        1.25975,
        1.19206,
        1.25051,
        1.24116,
        1.23107,
        1.19626,
        1.25382,
        1.26994,
        1.28833,
        1.22346,
        1.20823,
        1.20969,
        1.25789,
        1.20758,
        1.18034,
        1.23553,
        1.2253,
        1.24283,
        1.25407,
        1.21602,
        1.2015,
        1.24763,
        1.2768,
        1.19248,
        1.22057,
        1.25066,
        1.25132,
        1.21731,
        1.20679,
        1.20227,
        1.20582,
        1.21286,
        1.23238,
        1.23118,
        1.18917,
        1.20315,
        1.20197,
        1.21219,
        1.20857,
        1.18687,
        1.22552,
        1.19089,
        1.22661,
        1.20763,
        1.18267,
        1.25544,
        1.26976,
        1.26601,
        1.22145,
        1.26651,
        1.24793,
        1.23988,
        1.24355,
        1.26087,
        1.26706,
        1.27725,
        1.2684,
        1.28899,
        1.28387,
        1.24336,
        1.23022,
        1.22966,
        1.28326,
        1.31385,
        1.25214,
        1.27404,
        1.23672,
        1.23812,
        1.22067,
        1.27251,
        1.23617,
        1.22592,
        1.25136,
        1.30318,
        1.23636,
        1.21526,
        1.24097,
        1.24752,
        1.21058,
        1.24117,
        1.23615,
        1.25065,
        1.28147,
        1.26297,
        1.23213,
        1.201,
        1.19423,
        1.19618,
        1.20513,
        1.23496,
        1.23161,
        1.20899,
        1.20428,
        1.24471,
        1.27367,
        1.21753,
        1.22439,
        1.24238,
        1.24519,
        1.26889,
        1.20863,
        1.26213,
        1.28678,
        1.26268,
        1.2292,
        1.21587,
        1.24052,
        1.23653,
        1.2459,
        1.27694,
        1.27969,
        1.25561,
        1.28117,
        1.2826,
        1.25924,
        1.27727,
        1.25736,
        1.25011,
        1.27769,
        1.29531,
        1.26594,
        1.27102,
        1.27729,
        1.24074,
        1.25482,
        1.25087,
        1.22397,
        1.27198,
        1.26248,
        1.25217,
        1.19925,
        1.20214,
        1.25009,
        1.22036,
        1.22966,
        1.20259,
        1.22022,
        1.22751,
        1.24206,
        1.22529,
        1.20398,
        1.24037,
        1.22859,
        1.2541,
        1.26262,
        1.21818,
        1.23686,
        1.20931,
        1.23021,
        1.24234,
        1.26394,
        1.27163,
        1.26515,
        1.24255,
        1.26174,
        1.27335,
        1.24446,
        1.30063,
        1.27434,
        1.281,
        1.2245,
        1.26689,
        1.26534,
        1.24686,
        1.29207,
        1.2433,
        1.23907,
        1.19941,
        1.27013,
        1.24201,
        1.26802,
        1.32709,
        1.32815,
        1.27361,
        1.26344,
        1.28257,
        1.38412,
        1.30587,
        1.20657,
        1.06737,
        1.52355,
        1.53515,
        1.51245,
        1.38787,
        1.36277,
        1.30135,
        1.31851,
        1.35586,
        1.3028,
        1.26336,
        1.27063,
        1.26432,
        1.27819,
        1.29627,
        1.26704,
        1.25691,
        1.26219,
        1.21683,
        1.29688,
        1.28081,
        1.2522,
        1.25268,
        1.28077,
        1.23828,
        1.25455,
        1.28623,
        1.24263,
        1.24264,
        1.26857,
        1.28369,
        1.25405,
        1.27843,
        1.26385,
        1.26005,
        1.18568,
        1.26224,
        1.28602,
        1.25214,
        1.23564,
        1.29611,
        1.3028,
        1.25992,
        1.22682,
        1.24887,
        1.23827,
        1.26579,
        1.232,
        1.26749,
        1.28079,
        1.27841,
        1.23501,
        1.27534,
        1.26008,
        1.23158,
        1.27783,
        1.29361,
        1.22887,
        1.21098,
        1.27499,
        1.2641,
        1.25318,
        1.23953,
        1.28538,
        1.27278,
        1.28154,
        1.26576,
        1.2245,
        1.25987,
        1.24118,
        1.28483,
        1.31103,
        1.28833,
        1.24835,
        1.24098,
        1.2995,
        1.26729,
        1.22643,
        1.23948,
        1.30958,
        1.31664,
        1.23286,
        1.26324,
        1.32224,
        1.29764,
        1.2686,
        1.27741,
        1.23916,
        1.2722,
        1.27874,
        1.22862,
        1.25647,
        1.2966,
        1.27559,
        1.2434,
        1.30695,
        1.23386,
        1.23655,
        1.26376,
        1.2658,
        1.24318,
        1.30543,
        1.26971,
        1.24943,
        1.26332,
        1.32109,
        1.2968,
        1.28664,
        1.26647,
        1.28813,
        1.26516,
        1.26672,
        1.25751,
        1.30571,
        1.26082,
        1.30623,
        1.29269,
        1.27723,
        1.32016,
        1.28911,
        1.29567,
        1.24164,
        1.27325,
        1.26943,
        1.27743,
        1.23094,
        1.24633,
        1.27723,
        1.2846,
        1.28357,
        1.28715,
        1.28933,
        1.27776,
        1.28094,
        1.29193,
        1.25617,
        1.30024,
        1.27999,
        1.2884,
        1.2667,
        1.28615,
        1.28363,
        1.28122,
        1.25447,
        1.25667,
        1.32402,
        1.27531,
        1.28001,
        1.29853,
        1.29472,
        1.26669,
        1.25983,
        1.26313,
        1.30665,
        1.27893,
        1.33774,
        1.38165,
        1.42907,
        1.46843,
        1.5698,
        1.61853,
        1.5584,
        1.50648,
        1.43392,
        1.38892,
        1.44406,
        1.34509,
        1.35079,
        1.34518,
        1.38394,
        1.35991,
        1.3893,
        1.31601,
        1.41246,
        1.36505,
        1.44095,
        1.44227,
        1.33246,
        1.28601,
        1.37595,
        2.2562,
        1.41228,
        1.32679,
        1.69039,
        1.60572,
        1.40722,
        1.41988,
        1.38767,
        1.39751,
        1.36838,
        1.34976,
        1.34231,
        1.38734,
        1.36121,
        1.2756,
        1.3412,
        1.33183,
        1.32886,
        1.33573,
        1.35376,
        1.32456,
        1.38627,
        1.3998,
        1.35482,
        1.32085,
        1.31889,
        1.31716,
        1.27375,
        1.32918,
        1.36575,
        1.28724,
        1.31056,
        1.32476,
        1.30524,
        1.333,
        1.25373,
        1.26938,
        1.28571,
        1.30473,
        1.28781,
        1.31784,
        1.32212,
        1.31083,
        1.31416,
        1.31828,
        1.34132,
        1.35538,
        1.30581,
        1.31085,
        1.30342,
        1.29248,
        1.29713,
        1.33564,
        1.37121,
        1.34546,
        1.31213,
        1.31543,
        1.25282,
        1.29043,
        1.32936,
        1.29471,
        1.28497,
        1.3032,
        1.29928,
        1.28668,
        1.30264,
        1.32349,
        1.30393,
        1.29038,
        1.3115,
        1.31744,
        1.3325,
        1.31679,
        1.32186,
        1.30638,
        1.34193,
        1.36858,
        1.31461,
        1.35304,
        1.34886,
        1.35185,
        1.35178,
        1.31154,
        1.34663,
        1.37811,
        1.36402,
        1.3127,
        1.34813,
        1.34155,
        1.36656,
        1.34209,
        1.3638,
        1.38583,
        1.34886,
        1.37726,
        1.32538,
        1.36804,
        1.34877,
        1.3576,
        1.37973,
        1.37411,
        1.32401,
        1.34439,
        1.37695,
        1.37871,
        1.33507,
        1.33802,
        1.38483,
        1.37661,
        1.39901,
        1.36063,
        1.40212,
        1.37516,
        1.41387,
        1.33706,
        1.35211,
        1.32868,
        1.36016,
        1.36722,
        1.33248,
        1.35645,
        1.39716,
        1.43062,
        1.42975,
        1.40042,
        1.42861,
        1.43288,
        1.41689,
        1.41473,
        1.41194,
        1.43675,
        1.44592,
        1.4352,
        1.44777,
        1.45701,
        1.41714,
        1.44896,
        1.48679,
        1.40966,
        1.43881,
        1.42949,
        1.41636,
        1.45697,
        1.44666,
        1.42431,
        1.46505,
        1.47598,
        1.47022,
        1.44513,
        1.46591,
        1.47138,
        1.50313,
        1.49756,
        1.5173,
        1.47595,
        1.474,
        1.48716,
        1.49407,
        1.52075,
        1.51612,
        1.4889,
        1.52998,
        1.56828,
        1.5127,
        1.51825,
        1.56124,
        1.5043,
        1.5279,
        1.50358,
        1.54315,
        1.55872,
        1.49931,
        1.52452,
        1.52156,
        1.5167,
        1.53052,
        1.52016,
        1.56029,
        1.55686,
        1.6095,
        1.56577,
        1.55197,
        1.58173,
        1.59384,
        1.59733,
        1.60425,
        1.64439,
        1.64318,
        1.58972,
        1.60785,
        1.6064,
        1.61551,
        1.60004,
        1.62634,
        1.62842,
        1.62233,
        1.60574,
        1.56349,
        1.63226,
        1.60488,
        1.64033,
        1.64186,
        1.62322,
        1.62928,
        1.62647,
        1.69764,
        1.67106,
        1.65654,
        1.66536,
        1.63853,
        1.64239,
        1.63833,
        1.62471,
        1.60943,
        1.63761,
        1.60038,
        1.56207,
        1.63008,
        1.63688,
        1.62943,
        1.62771,
        1.60667,
        1.64808,
        1.65039,
        1.66905,
        1.62836,
        1.62057,
        1.59613,
        1.58985,
        1.66544,
        1.66988,
        1.60868,
        1.61627,
        1.61352,
        1.61882,
        1.59077,
        1.57753,
        1.58804,
        1.55707,
        1.58451,
        1.53197,
        1.53559,
        1.60129,
        1.55156,
        1.54981,
        1.54113,
        1.5593,
        1.59534,
        1.57997,
        1.53185,
        1.56369,
        1.58258,
        1.50295,
        1.4999,
        1.49087,
        1.49949,
        1.50646,
        1.4818,
        1.48973,
        1.47156,
        1.48058,
        1.49703,
        1.52766,
        1.49573,
        1.5278,
        1.52516,
        1.53286,
        1.46739,
        1.54954,
        1.51075,
        1.54266,
        1.48837,
        1.49059,
        1.45383,
        1.48247,
        1.50779,
        1.49386,
        1.48052,
        1.5005,
        1.47498,
        1.45332,
        1.44776,
        1.47263,
        1.42551,
        1.51753,
        1.46863,
        1.45552,
        1.4446,
        1.47085,
        1.44545,
        1.40557,
        1.44014,
        1.47298,
        1.43308,
        1.44085,
        1.41999,
        1.44323,
        1.45098,
        1.47598,
        1.45811,
        1.40827,
        1.3982,
        1.41195,
        1.41541,
        1.39776,
        1.43609,
        1.41361,
        1.44689,
        1.40467,
        1.39023,
        1.37023,
        1.39312,
        1.427,
        1.42441,
        1.4023,
        1.41141,
        1.42221,
        1.41894,
        1.4257,
        1.39904,
        1.38476,
        1.40729,
        1.4155,
        1.42712,
        1.39548,
        1.36268,
        1.4096,
        1.40815,
        1.36323,
        1.41356,
        1.38597,
        1.35809,
        1.36106,
        1.37964,
        1.33523,
        1.37527,
        1.43561,
        1.43105,
        1.43265,
        1.39755,
        1.37705,
        1.36719,
        1.38099,
        1.35344,
        1.39598,
        1.38241,
        1.40467,
        1.39274,
        1.38545,
        1.38042,
        1.37409,
        1.36672,
        1.40655,
        1.38592,
        1.37916,
        1.37299,
        1.36811,
        1.399,
        1.37623,
        1.39122,
        1.31409,
        1.36536,
        1.37941,
        1.37269,
        1.38527,
        1.331,
        1.33176,
        1.36808,
        1.35,
        1.37364,
        1.38246,
        1.3556,
        1.39899,
        1.39037,
        1.39695,
        1.34987,
        1.56228,
        1.35215,
        1.34019,
        1.4055,
        1.75336,
        1.95883,
        1.56409,
        1.59806,
        1.54166,
        1.42936,
        1.51914,
        1.39665,
        1.49411,
        1.49682,
        1.56456,
        1.6426,
        1.67969,
        1.6621,
        1.58257,
        1.49095,
        1.39486,
        1.37571,
        1.37725,
        1.38059,
        1.39534,
        1.39729,
        1.40242,
        1.35182,
        1.35916,
        1.38894,
        1.39962,
        1.38126,
        1.42878,
        1.55542,
        1.53535,
        1.41269,
        1.45675,
        1.32793,
        1.52407,
        1.51678,
        1.50388,
        1.47018,
        1.62973,
        1.47083,
        1.31418,
        1.32215,
        1.39036,
        1.42428,
        1.43328,
        1.38049,
        1.34987,
        1.33167,
        1.36108,
        1.30856,
        1.33871,
        1.33814,
        1.35618,
        1.38023,
        1.39793,
        1.30061,
        1.31536,
        1.29762,
        1.32938,
        1.30791,
        1.32465,
        1.32973,
        1.31219,
        1.33669,
        1.32715,
        1.33601,
        1.35137,
        1.37093,
        1.31684,
        1.32305,
        1.32004,
        1.32465,
        1.36779,
        1.3636,
        1.31283,
        1.36146,
        1.32628,
        1.3137,
        1.31928,
        1.3523,
        1.34873,
        1.30081,
        1.32464,
        1.3332,
        1.32326,
        1.29884,
        1.34792,
        1.38906,
        1.34125,
        1.32533,
        1.28487,
        1.2837,
        1.3173,
        1.29083,
        1.34453,
        1.34786,
        1.32877,
        1.32324,
        1.2945,
        1.31801,
        1.34168,
        1.33965,
        1.29093,
        1.31329,
        1.31295,
        1.28436,
        1.26765,
        1.31373,
        1.29567,
        1.27783,
        1.33639,
        1.30432,
        1.33474,
        1.31535,
        1.34792,
        1.35625,
        1.35191,
        1.32933,
        1.34215,
        1.30678,
        1.27589,
        1.29997,
        1.28843,
        1.34787,
        1.37786,
        1.31664,
        1.28564,
        1.31286,
        1.36823,
        1.39763,
        1.34966,
        1.41035,
        1.36708,
        1.38337,
        1.40207,
        1.33129,
        1.33919,
        1.26758,
        1.34888,
        1.36989,
        1.37262,
        1.30562,
        1.24575,
        1.28173,
        1.30326,
        1.30492,
        1.29429,
        1.23604,
        1.2706,
        1.28505,
        1.28556,
        1.31454,
        1.27923,
        1.32212,
        1.30791,
        1.32823,
        1.34478,
        1.26859,
        1.27592,
        1.22755,
        1.3043,
        1.2896,
        1.28199,
        1.26117,
        1.26226,
        1.31536,
        1.29389,
        1.30146,
        1.30871,
        1.2845,
        1.28795,
        1.26494,
        1.33153,
        1.26913,
        1.24848,
        1.33338,
        1.31352,
        1.29709,
        1.31389,
        1.29728,
        1.32933,
        1.30227,
        1.30458,
        1.281,
        1.28464,
        1.33647,
        1.31261,
        1.29573,
        1.2681,
        1.3463,
        1.33921,
        1.33904,
        1.30396,
        1.38022,
        1.36412,
        1.33305,
        1.36181,
        1.34368,
        1.27741,
        1.29237,
        1.33683,
        1.35614,
        1.40959,
        1.37222,
        1.35332,
        1.35059,
        1.37297,
        1.29328,
        1.37206,
        1.42658,
        1.4804,
        1.38489,
        1.60947,
        1.4808,
        1.46992,
        1.40858,
        1.27239,
        1.34731,
        1.38234,
        1.22315,
        1.2758,
        1.29814,
        1.29085,
        1.35763,
        1.386,
        1.3834,
        1.29015,
        1.27249,
        1.26095,
        1.32946,
        1.34435,
        1.34537,
        1.33784,
        1.29953,
        1.28764,
        1.31492,
        1.30522,
        1.28317,
        1.26859,
        1.31472,
        1.27705,
        1.32598,
        1.31522,
        1.33942,
        1.36846,
        1.28676,
        1.27971,
        1.29151,
        1.34093,
        1.32592,
        1.32831,
        1.30715,
        1.31907,
        1.29671,
        1.28692,
        1.33592,
        1.32163,
        1.29317,
        1.29428,
        1.27864,
        1.3121,
        1.35334,
        1.32683,
        1.27331,
        1.27938,
        1.27054,
        1.27694,
        1.3189,
        1.27816,
        1.28565,
        1.30855,
        1.3022,
        1.29826,
        1.318,
        1.30171,
        1.28964,
        1.29025,
        1.27583,
        1.2935,
        1.27582,
        1.28534,
        1.29088,
        1.29082,
        1.27308,
        1.32888,
        1.26617,
        1.29434,
        1.28053,
        1.28024,
        1.33352,
        1.34812,
        1.36723,
        1.32869,
        1.30725,
        1.30982,
        1.2938,
        1.34374,
        1.28523,
        1.27506,
        1.27718,
        1.2981,
        1.29155,
        1.31314,
        1.28372,
        1.27636,
        1.31625,
        1.30284,
        1.3002,
        1.30722,
        1.32102,
        1.30943,
        1.30424,
        1.31926,
        1.35372,
        1.29072,
        1.28859,
        1.32022,
        1.30749,
        1.29375,
        1.30595,
        1.27938,
        1.28024,
        1.31113,
        1.27777,
        1.25342,
        1.28056,
        1.30985,
        1.31513,
        1.33464,
        1.32834,
        1.30873,
        1.31895,
        1.29605,
        1.25323,
        1.24092,
        1.26275,
        1.26458,
        1.22413,
        1.22157,
        1.26429,
        1.29882,
        1.26538,
        1.30112,
        1.27143,
        1.23629,
        1.24279,
        1.26926,
        1.25919,
        1.28633,
        1.28312,
        1.30538,
        1.30294,
        1.29924,
        1.34867,
        1.26046,
        1.26597,
        1.22896,
        1.2775,
        1.27552,
        1.27272,
        1.29341,
        1.31927,
        1.29631,
        1.29908,
        1.31676,
        1.27707,
        1.27434,
        1.27295,
        1.27494,
        1.25886,
        1.28947,
        1.32383,
        1.31594,
        1.27113,
        1.26657,
        1.23661,
        1.27858,
        1.28387,
        1.28239,
        1.24551,
        1.24804,
        1.27375,
        1.28364,
        1.2746,
        1.26284,
        1.30145,
        1.27492,
        1.27041,
        1.27913,
        1.24767,
        1.24562,
        1.24809,
        1.23298,
        1.27863,
        1.25143,
        1.29066,
        1.27532,
        1.28518,
        1.23593,
        1.28434,
        1.28905,
        1.29164,
        1.32043,
        1.27449,
        1.29306,
        1.26941,
        1.25728,
        1.2938,
        1.23037,
        1.28665,
        1.23847,
        1.23971,
        1.27338,
        1.27021,
        1.27291,
        1.24537,
        1.23126,
        1.22225,
        1.24257,
        1.26732,
        1.26467,
        1.24316,
        1.25423,
        1.28499,
        1.30433,
        1.28802,
        1.28711,
        1.25801,
        1.26916,
        1.23388,
        1.2523,
        1.25566,
        1.26279,
        1.27055,
        1.273,
        1.3481,
        1.28378,
        1.25806,
        1.25695,
        1.267,
        1.28879,
        1.26777,
        1.2748,
        1.26343,
        1.30858,
        1.28967,
        1.29335,
        1.30028,
        1.2764,
        1.26566,
        1.24549,
        1.27139,
        1.26514,
        1.28694,
        1.2798,
        1.28601,
        1.31837,
        1.23038,
        1.29253,
        1.28822,
        1.20071,
        1.25744,
        1.27555,
        1.28439,
        1.28908,
        1.28736,
        1.28011,
        1.23363,
        1.22571,
        1.26448,
        1.25197,
        1.23424,
        1.25737,
        1.24619,
        1.25465,
        1.25471,
        1.27149,
        1.28002,
        1.25389,
        1.24054,
        1.25523,
        1.26384,
        1.24886,
        1.25738,
        1.2329,
        1.24205,
        1.2921,
        1.25767,
        1.23919,
        1.28882,
        1.29401,
        1.29617,
        1.28606,
        1.27764,
        1.26597,
        1.2625,
        1.26761,
        1.24786,
        1.26493,
        1.28574,
        1.30695,
        1.29611,
        1.32404,
        1.31542,
        1.28664,
        1.25272,
        1.2494,
        1.22292,
        1.26163,
        1.24164,
        1.2718,
        1.26558,
        1.22662,
        1.27898,
        1.27606,
        1.25566,
        1.25857,
        1.2456,
        1.24538,
        1.21781,
        1.25465,
        1.24917,
        1.28069,
        1.2826,
        1.24765,
        1.25693,
        1.23344,
        1.26966,
        1.26149,
        1.259,
        1.27469,
        1.2928,
        1.33767,
        1.30397,
        1.36179,
        1.32463,
        1.3029,
        1.25553,
        1.26201,
        1.26929,
        1.27663,
        1.26622,
        1.27412,
        1.28944,
        1.30067,
        1.27621,
        1.26839,
        1.304,
        1.2963,
        1.28079,
        1.30393,
        1.27293,
        1.28602,
        1.27683,
        1.29638,
        1.28844,
        1.30034,
        1.32757,
        1.34599,
        1.27493,
        1.31192,
        1.26909,
        1.2749,
        1.27378,
        1.26765,
        1.27205,
        1.22862,
        1.27905,
        1.24116,
        1.26419,
        1.26381,
        1.27021,
        1.24791,
        1.23629,
        1.28483,
        1.29532,
        1.28255,
        1.31398,
        1.24538,
        1.25119,
        1.27411,
        1.27434,
        1.3575,
        1.28892,
        1.30535,
        1.29214,
        1.31792,
        1.30778,
        1.25453,
        1.28805,
        1.26448,
        1.30566,
        1.31953,
        1.29416,
        1.29224,
        1.29541,
        1.29553,
        1.24684,
        1.23589,
        1.21784,
        1.31269,
        1.27176,
        1.28747,
        1.28116,
        1.30745,
        1.27292,
        1.31174,
        1.28746,
        1.2636,
        1.24466,
        1.26953,
        1.28037,
        1.24315,
        1.24551,
        1.33536,
        1.26789,
        1.31642,
        1.28886,
        1.30822,
        1.27623,
        1.26237,
        1.25536,
        1.26475,
        1.24567,
        1.30494,
        1.3393,
        1.34561,
        1.30384,
        1.30876,
        1.29144,
        1.30086,
        1.29291,
        1.29575,
        1.25682,
        1.26496,
        1.2797,
        1.28321,
        1.28624,
        1.27085,
        1.30504,
        1.31461,
        1.3086,
        1.29498,
        1.2821,
        1.25643,
        1.26365,
        1.26804,
        1.34444,
        1.32733,
        1.2714,
        1.25589,
        1.25346,
        1.27275,
        1.32015,
        1.2698,
        1.29648,
        1.27004,
        1.33025,
        1.33614,
        1.32129,
        1.3049,
        1.28405,
        1.27553,
        1.27909,
        1.26917,
        1.24621,
        1.30401,
        1.28066,
        1.27915,
        1.25063,
        1.28968,
        1.3077,
        1.31958,
        1.30775,
        1.27567,
        1.31896,
        1.30655,
        1.30155,
        null,
        1.29553,
        1.29137,
        1.4094,
        1.4043,
        1.34975,
        1.34531,
        1.32132,
        1.23311,
        1.28814,
        1.34575,
        1.28287,
        1.32058,
        1.25924,
        1.35621,
        1.34084,
        1.2984,
        1.32391,
        1.33569,
        1.32246,
        1.31624,
        1.32735,
        1.20442,
        1.27998,
        1.29402,
        1.29627,
        1.30872,
        1.37855,
        1.36885,
        1.3731,
        1.4163,
        1.35603,
        1.28764,
        1.35216,
        1.33804,
        1.4264,
        1.3792,
        1.2815,
        1.32239,
        1.28795,
        1.32198,
        1.32261,
        1.35841,
        1.31737,
        1.32038,
        1.35369,
        1.32428,
        1.43146,
        1.4489,
        1.55251,
        1.48712,
        1.50867,
        1.4048,
        1.38955,
        1.22539,
        1.26965,
        1.3174,
        1.38538,
        1.36169,
        1.38592,
        1.21592,
        1.4356,
        1.20902,
        1.79753,
        1.56632,
        1.31964,
        1.37695,
        1.50164,
        1.52708,
        1.3117,
        1.31705,
        1.30456,
        1.25448,
        1.36164,
        1.343,
        1.26518,
        1.30089,
        1.30003,
        1.34585,
        1.41357,
        1.32483,
        1.34103,
        1.28593,
        1.23698,
        1.25768,
        1.26468,
        1.24755,
        1.32289,
        1.2923,
        1.28535,
        1.36653,
        1.21352,
        1.27566,
        1.31037,
        1.22216,
        1.20628,
        1.24961,
        1.28524,
        1.20291,
        1.20107,
        1.22747,
        1.24413,
        1.29075,
        1.2008,
        1.27924,
        1.24893,
        1.20584,
        1.2653,
        1.30757,
        1.31245,
        1.30431,
        1.29996,
        1.26232,
        1.22066,
        1.30025,
        1.25411,
        1.27119,
        1.21171,
        1.25677,
        1.21669,
        1.23763,
        1.30809,
        1.24794,
        1.20154,
        1.31234,
        1.26746,
        1.24843,
        1.2056,
        1.31259,
        1.22796,
        1.24859,
        1.23148,
        1.24811,
        1.26597,
        1.18974,
        1.25642,
        1.2617,
        1.22427,
        1.27615,
        1.23685,
        1.25774,
        1.25264,
        1.25747,
        1.1825,
        1.22297,
        1.16274,
        1.18826,
        1.20567,
        1.22872,
        1.21468,
        1.2266,
        1.25205,
        1.28886,
        1.3459,
        1.26833,
        1.22424,
        1.29148,
        1.26694,
        1.22805,
        1.29492,
        1.31312,
        1.21338,
        1.23925,
        1.22541,
        1.28975,
        1.22335,
        1.2568,
        1.19923,
        1.3083,
        1.28911,
        1.34523,
        1.35118,
        1.31591,
        1.48733,
        1.23196,
        1.41075,
        1.32753,
        1.46796,
        1.5513,
        1.50097,
        1.55339,
        1.38728,
        1.28438,
        1.34938,
        1.30919,
        1.24822,
        1.21754,
        1.28114,
        1.21239,
        1.27405,
        1.27431,
        1.20096,
        1.19634,
        1.25948,
        1.24622,
        1.24247,
        1.21274,
        1.25382,
        1.22562,
        1.27624,
        1.27816,
        1.29252,
        1.20172,
        1.20583,
        1.2534,
        1.19477,
        1.2477,
        1.25835,
        1.25223,
        1.22166,
        1.22848,
        1.25878,
        1.27046,
        1.26532,
        1.25514,
        1.2787,
        1.2817,
        1.28051,
        1.2956,
        1.2217,
        1.18438,
        1.31264,
        1.29653,
        1.26445,
        1.25044,
        1.29184,
        1.2846,
        1.32476,
        1.30585,
        1.32596,
        1.2678,
        1.30047,
        1.29513,
        1.29473,
        1.34194,
        1.29236,
        1.2318,
        1.24715,
        1.26164,
        1.33283,
        1.2891,
        1.31063,
        1.28186,
        1.33754,
        1.31081,
        1.3464,
        1.27336,
        1.25948,
        1.24414,
        1.28401,
        1.28058,
        1.2623,
        1.26954,
        1.22409,
        1.3126,
        1.23546,
        1.25232,
        1.24867,
        1.27016,
        1.26141,
        1.24398,
        1.25332,
        1.26509,
        1.33166,
        1.19178,
        1.30871,
        1.28191,
        1.27948,
        1.27869,
        1.36147,
        1.43329,
        1.06397,
        1.51477,
        1.53728,
        1.58814,
        1.16792,
        1.43977,
        1.47954,
        1.43699,
        1.42957,
        1.40309,
        1.37352,
        1.36609,
        1.38617,
        1.24597,
        1.37399,
        1.30245,
        1.27326,
        1.28922,
        1.31476,
        1.22071,
        1.33893,
        1.32572,
        1.33471,
        1.32835,
        1.33302,
        1.26121,
        1.23644,
        1.25198,
        1.28317,
        1.23048,
        1.24814,
        1.27064,
        1.31054,
        1.30988,
        1.24158,
        1.23403,
        1.22511,
        1.20617,
        1.27507,
        1.23037,
        1.27308,
        1.20696,
        1.2687,
        1.23596,
        1.19081,
        1.21304,
        1.26568,
        1.23688,
        1.25848,
        1.23981,
        1.2741,
        1.26609,
        1.2988,
        1.30802,
        1.27347,
        1.32049,
        1.31495,
        1.37654,
        1.25815,
        1.218,
        1.25506,
        1.33005,
        1.29569,
        1.38605,
        1.30152,
        1.22704,
        1.24103,
        1.29659,
        1.33131,
        1.25547,
        1.25494,
        1.2508,
        1.25228,
        1.30555,
        1.34012,
        1.31786,
        1.31481,
        1.32006,
        1.26328,
        1.25823,
        1.31926,
        1.26375,
        1.1899,
        1.1909,
        1.27643,
        1.34012,
        1.24719,
        1.26704,
        1.30275,
        1.25096,
        1.32572,
        1.20406,
        1.22946,
        1.23353,
        1.25429,
        1.15217,
        1.22013,
        1.26175,
        1.30006,
        1.30354,
        1.33618,
        1.27727,
        1.41946,
        1.32219,
        1.34522,
        1.45085,
        1.59805,
        1.34055,
        1.66382,
        1.65087,
        1.59639,
        1.42253,
        1.43923,
        1.32418,
        1.30174,
        1.43965,
        1.38092,
        1.32438,
        1.38726,
        1.38232,
        1.25218,
        1.2865,
        1.34918,
        1.365,
        1.30911,
        1.30994,
        1.17027,
        1.33657,
        1.29013,
        1.2167,
        1.17846,
        1.22716,
        1.20307,
        1.19489,
        1.24347,
        1.28393,
        1.34324,
        1.33302,
        1.50198,
        1.48691,
        1.46566,
        1.46842,
        1.40337,
        1.32923,
        1.2983,
        1.39916,
        1.35572,
        1.21261,
        1.29614,
        1.21128,
        1.22013,
        1.39638,
        1.41837,
        1.28324,
        1.32895,
        1.46182,
        1.38957,
        1.41874,
        1.5236,
        1.76092,
        1.79438,
        1.77352,
        1.53483,
        1.48198,
        1.36025,
        1.36748,
        1.39306,
        1.3488,
        1.26655,
        1.23011,
        1.30027,
        1.35598,
        1.26573,
        1.36451,
        1.37093,
        1.33046,
        1.32221,
        1.24,
        1.26333,
        1.30484,
        1.30632,
        1.22615,
        1.19712,
        1.28525,
        1.26452,
        1.23348,
        1.20601,
        1.19914,
        1.21258,
        1.18454,
        1.19967,
        1.23422,
        1.21867,
        1.20393,
        1.24589,
        1.25885,
        1.23743,
        1.27611,
        1.2355,
        1.21122,
        1.23995,
        1.24573,
        1.24524,
        1.22178,
        1.25684,
        1.285,
        1.27725,
        1.27756,
        1.28799,
        1.24799,
        1.27788,
        1.25574,
        1.26964,
        1.27174,
        1.30072,
        1.31799,
        1.32661,
        1.25634,
        1.23278,
        1.19282,
        1.22014,
        1.23649,
        1.2573,
        1.29701,
        1.25282,
        1.23339,
        1.26711,
        1.29234,
        1.2298,
        1.24169,
        1.24797,
        1.2286,
        1.20558,
        1.27658,
        1.25188,
        1.29621,
        1.26431,
        1.31454,
        1.23627,
        1.26735,
        1.23954,
        1.20479,
        1.20183,
        1.22206,
        1.23748,
        1.21869,
        1.23072,
        1.25143,
        1.23626,
        1.22886,
        1.24483,
        1.2058,
        1.26288,
        1.24855,
        1.2115,
        1.25957,
        1.20322,
        1.23655,
        1.24187,
        1.22011,
        1.21464,
        1.271,
        1.26543,
        1.30175,
        1.22958,
        1.24242,
        1.26421,
        1.31778,
        1.25348,
        1.26104,
        1.27393,
        1.31113,
        1.28369,
        1.32751,
        1.2766,
        1.23652,
        1.27124,
        1.27011,
        1.21938,
        1.22721,
        1.30941,
        1.26336,
        1.29944,
        1.26471,
        1.23617,
        1.29296,
        1.30839,
        1.2466,
        1.26979,
        1.23096,
        1.25424,
        1.28482,
        1.22714,
        1.2383,
        1.27606,
        1.24343,
        1.31789,
        1.27227,
        1.20755,
        1.22231,
        1.25243,
        1.2015,
        1.27044,
        1.24233,
        1.22733,
        1.23591,
        1.2535,
        1.24332,
        1.23676,
        1.25669,
        1.25143,
        1.25593,
        1.23972,
        1.21093,
        1.21538,
        1.22553,
        1.23882,
        1.24079,
        1.28028,
        1.22788,
        1.29639,
        1.24603,
        1.20059,
        1.20623,
        1.20938,
        1.24055,
        1.24355,
        1.2364,
        1.26203,
        1.24086,
        1.22924,
        1.24978,
        1.28026,
        1.27844,
        1.25877,
        1.26982,
        1.2597,
        1.24806,
        1.26899,
        1.29528,
        1.25222,
        1.2167,
        1.23235,
        1.20898,
        1.25737,
        1.24745,
        1.24585,
        1.27532,
        1.26341,
        1.21443,
        1.25233,
        1.21825,
        1.2844,
        1.23042,
        1.23095,
        1.22019,
        1.21385,
        1.24865,
        1.19276,
        1.24828,
        1.24793,
        1.24581,
        1.192,
        1.22275,
        1.19122,
        1.20918,
        1.23948,
        1.22443,
        1.25223,
        1.22065,
        1.2381,
        1.2527,
        1.24991,
        1.24696,
        1.27469,
        1.22442,
        1.24419,
        1.22644,
        1.2461,
        1.22265,
        1.22306,
        1.2726,
        1.28358,
        1.24756,
        1.21436,
        1.22322,
        1.21718,
        1.24053,
        1.19578,
        1.26938,
        1.23327,
        1.2355,
        1.26652,
        1.29319,
        1.26824,
        1.24187,
        1.24888,
        1.2312,
        1.20822,
        1.23259,
        1.24189,
        1.20166,
        1.22015,
        1.21564,
        1.23779,
        1.24774,
        1.21733,
        1.23627,
        1.22357,
        1.26124,
        1.26963,
        1.20762,
        1.21908,
        1.23337,
        1.26943,
        1.24363,
        1.20947,
        1.25058,
        1.22948,
        1.24439,
        1.22485,
        1.23874,
        1.25803,
        1.21912,
        1.21847,
        1.23109,
        1.20982,
        1.24954,
        1.24799,
        1.20946,
        1.23997,
        1.21719,
        1.20527,
        1.27786,
        1.28024,
        1.25526,
        1.2839,
        1.26707,
        1.20364,
        1.2567,
        1.25223,
        1.31439,
        1.24681,
        1.2706,
        1.29568,
        1.28809,
        1.27481,
        1.28331,
        1.21348,
        1.2168,
        1.2575,
        1.25185,
        1.23262,
        1.26201,
        1.25643,
        1.26818,
        1.21712,
        1.25944,
        1.274,
        1.28335,
        1.21701,
        1.22937,
        1.23619,
        1.21834,
        1.22794,
        1.23668,
        1.24628,
        1.21869,
        1.2421,
        1.2275,
        1.19916,
        1.20157,
        1.23593,
        1.25496,
        1.22702,
        1.25115,
        1.28035,
        1.29555,
        1.25674,
        1.24549,
        1.24916,
        1.23591,
        1.24368,
        1.24023,
        1.19237,
        1.24439,
        1.25531,
        1.25084,
        1.28282,
        1.3296,
        1.26267,
        1.25963,
        1.24303,
        1.28191,
        1.26365,
        1.23884,
        1.3002,
        1.29408,
        1.26436,
        1.28644,
        1.24476,
        1.25225,
        1.2632,
        1.24273,
        1.23656,
        1.27216,
        1.22195,
        1.25475,
        1.25648,
        1.2887,
        1.26376,
        1.26149,
        1.24444,
        1.27671,
        1.25933,
        1.23895,
        1.23654,
        1.2977,
        1.27274,
        1.24821,
        1.22043,
        1.24808,
        1.31157,
        1.24327,
        1.22192,
        1.31864,
        1.28832,
        1.25061,
        1.2393,
        1.23203,
        1.2599,
        1.25784,
        1.22054,
        1.24611,
        1.25195,
        1.23576,
        1.19046,
        1.2375,
        1.20311,
        1.20633,
        1.31331,
        1.32963,
        1.27864,
        1.26984,
        1.24899,
        1.22216,
        1.23012,
        1.23933,
        1.3105,
        1.33404,
        1.31179,
        1.37865,
        1.37836,
        1.41311,
        1.539,
        1.56963,
        1.55921,
        1.5487,
        1.529,
        1.46697,
        1.38242,
        1.35047,
        1.30998,
        1.29914,
        1.33131,
        1.43704,
        1.26798,
        1.45712,
        1.41735,
        1.35182,
        1.43166,
        1.50846,
        1.34933,
        1.50324,
        1.51904,
        1.4288,
        1.53293,
        1.40393,
        1.56939,
        1.58385,
        1.44504,
        1.3688,
        1.36948,
        1.1846,
        1.23604,
        1.34664,
        1.29516,
        1.24591,
        1.26434,
        1.27122,
        1.31839,
        1.34701,
        1.32001,
        1.24794,
        1.32861,
        1.30311,
        1.32891,
        1.3296,
        1.28473,
        1.29963,
        1.34409,
        1.32199,
        1.20271,
        1.18707,
        1.23896,
        1.34804,
        1.25209,
        1.23246,
        1.25394,
        1.25884,
        1.22088,
        1.24618,
        1.23776,
        1.26014,
        1.29349,
        1.28994,
        1.21261,
        1.28019,
        1.30517,
        1.33993,
        1.28261,
        1.25603,
        1.26625,
        1.29264,
        1.23717,
        1.22002,
        1.24597,
        1.25025,
        1.2641,
        1.2925,
        1.31659,
        1.2599,
        1.26693,
        1.27399,
        1.29902,
        1.27829,
        1.26201,
        1.20957,
        1.25194,
        1.25999,
        1.28908,
        1.22793,
        1.27278,
        1.25014,
        1.26388,
        1.28042,
        1.24276,
        1.23837,
        1.28721,
        1.25592,
        1.21101,
        1.23118,
        1.25945,
        1.28909,
        1.23758,
        1.24695,
        1.22959,
        1.24165,
        1.27595,
        1.28257,
        1.22818,
        1.28318,
        1.28744,
        1.27501,
        1.26382,
        1.27247,
        1.29871,
        1.25204,
        1.28846,
        1.29257,
        1.26746,
        1.25114,
        1.25067,
        1.23861,
        1.25117,
        1.25656,
        1.27505,
        1.26088,
        1.26458,
        1.31764,
        1.31575,
        1.25166,
        1.28779,
        1.24902,
        1.26459,
        1.28162,
        1.30877,
        1.29539,
        1.28648,
        1.25425,
        1.27177,
        1.23028,
        1.22933,
        1.22447,
        1.26219,
        1.29321,
        1.21975,
        1.23472,
        1.17157,
        1.21304,
        1.2764,
        1.26812,
        1.18932,
        1.22146,
        1.2685,
        1.28777,
        1.23149,
        1.21029,
        1.26064,
        1.22682,
        1.20487,
        1.23174,
        1.20461,
        1.25402,
        1.26103,
        1.23935,
        1.22637,
        1.20047,
        1.24686,
        1.23491,
        1.24648,
        1.23973,
        1.22334,
        1.24815,
        1.23985,
        1.23919,
        1.19838,
        1.24345,
        1.26807,
        1.21178,
        1.24658,
        1.25762,
        1.31056,
        1.28748,
        1.32289,
        1.31956,
        1.30193,
        1.33126,
        1.30234,
        1.24773,
        1.26766,
        1.27606,
        1.25941,
        1.27407,
        1.26938,
        1.28373,
        1.26308,
        1.25683,
        1.25511,
        1.23632,
        1.24171,
        1.21474,
        1.19736,
        1.2708,
        1.23932,
        1.26785,
        1.2581,
        1.2664,
        1.19708,
        1.24413,
        1.27198,
        1.25149,
        1.23978,
        1.29147,
        1.29222,
        1.28156,
        1.27772,
        1.24925,
        1.22202,
        1.23097,
        1.24583,
        1.20366,
        1.24408,
        1.24768,
        1.25532,
        1.2972,
        1.25012,
        1.21126,
        1.27522,
        1.29252,
        1.44358,
        1.49662,
        1.23536,
        1.251,
        1.23492,
        1.3941,
        1.03261,
        1.22802,
        1.3605,
        1.63012,
        1.75903,
        1.4381,
        1.50908,
        1.4145,
        1.3756,
        1.44616,
        1.59714,
        1.60585,
        1.41214,
        1.45512,
        1.55419,
        1.37671,
        1.23314,
        1.20614,
        1.23774,
        1.4203,
        1.41463,
        1.50891,
        1.43012,
        1.64456,
        1.49403,
        1.40112,
        1.29391,
        1.21502,
        1.2647,
        1.24146,
        1.34169,
        1.37811,
        1.39842,
        1.30066,
        1.24314,
        1.24409,
        1.30806,
        1.26138,
        1.22139,
        1.21096,
        1.49661,
        1.23158,
        1.32035,
        1.37102,
        1.33823,
        1.32093,
        1.296,
        1.31333,
        1.257,
        1.29308,
        1.26834,
        1.30772,
        1.32072,
        1.32086,
        1.27093,
        1.3376,
        1.32385,
        1.27986,
        1.39681,
        1.31948,
        1.28428,
        1.24546,
        1.40254,
        1.32863,
        1.27128,
        1.28841,
        1.32232,
        1.30078,
        1.41999,
        1.38538,
        1.24839,
        1.30335,
        1.31474,
        1.3303,
        1.33009,
        1.31025,
        1.35762,
        1.32963,
        1.3498,
        1.30609,
        1.26924,
        1.24404,
        1.22475,
        1.32216,
        1.29794,
        1.30164,
        1.26481,
        1.32451,
        1.27959,
        1.31757,
        1.37643,
        1.36602,
        1.39331,
        1.37877,
        1.28818,
        1.31608,
        1.3279,
        1.29925,
        1.31299,
        1.20149,
        1.25785,
        1.30716,
        1.32704,
        1.2443,
        1.28698,
        1.30309,
        1.32489,
        1.2293,
        1.2808,
        1.25731,
        1.31201,
        1.31452,
        1.30091,
        1.23254,
        1.30681,
        1.32662,
        1.32903,
        1.33775,
        1.29254,
        1.25893,
        1.27436,
        1.29491,
        1.27517,
        1.32068,
        1.33727,
        1.34263,
        1.35919,
        1.32457,
        1.40105,
        1.34789,
        1.36711,
        1.34792,
        1.32418,
        1.31441,
        1.30714,
        1.28578,
        1.29815,
        1.35963,
        1.32435,
        1.32255,
        1.29272,
        1.27565,
        1.24849,
        1.24013,
        1.23278,
        1.31763,
        1.39527,
        1.35772,
        1.2584,
        1.31116,
        1.27992,
        1.30393,
        1.27387,
        1.21754,
        1.21167,
        1.27316,
        1.30601,
        1.31342,
        1.26608,
        1.26137,
        1.30801,
        1.35033,
        1.3534,
        1.35032,
        1.40805,
        1.42283,
        1.3398,
        1.28798,
        1.26397,
        1.3084,
        1.2784,
        1.25172,
        1.26025,
        1.22665,
        1.32721,
        1.323,
        1.31892,
        1.27701,
        1.27938,
        1.30507,
        1.30319,
        1.31096,
        1.30348,
        1.24855,
        1.22369,
        1.25318,
        1.27796,
        1.28253,
        1.26695,
        1.28723,
        1.28179,
        1.29966,
        1.26321,
        1.28116,
        1.26618,
        1.30353,
        1.34257,
        1.38462,
        1.38764,
        1.46293,
        1.51609,
        1.62794,
        1.69687,
        1.6657,
        1.57735,
        1.49002,
        1.42501,
        1.36491,
        1.32652,
        1.3323,
        1.2925,
        1.41308,
        1.41551,
        1.30107,
        1.37708,
        1.55817,
        1.52965,
        1.39946,
        1.56444,
        1.94969,
        1.64109,
        1.19962,
        1.27307,
        1.4755,
        1.55441,
        1.51116,
        1.33515,
        1.39803,
        1.26157,
        1.42271,
        1.40563,
        1.41044,
        1.45823,
        1.34766,
        1.38684,
        1.32772,
        1.26131,
        1.36564,
        1.30256,
        1.39925,
        1.28341,
        1.38073,
        1.33732,
        1.35387,
        1.36482,
        1.2856,
        1.32884,
        1.38349,
        1.43259,
        1.34231,
        1.2528,
        1.2763,
        1.39736,
        1.35644,
        1.29834,
        1.25376,
        1.28657,
        1.30244,
        1.27981,
        1.26354,
        1.31502,
        1.32766,
        1.24951,
        1.27061,
        1.28528,
        1.30065,
        1.27975,
        1.27997,
        1.22338,
        1.32335,
        1.25169,
        1.23787,
        1.2668,
        1.32578,
        1.27543,
        1.28536,
        1.27355,
        1.34305,
        1.32327,
        1.28657,
        1.22744,
        1.26791,
        1.27205,
        1.33287,
        1.30417,
        1.24162,
        1.2371,
        1.30659,
        1.33438,
        1.34101,
        1.24377,
        1.32459,
        1.30158,
        1.4227,
        1.39446,
        1.2183,
        1.35097,
        1.35202,
        1.29763,
        1.25385,
        1.35462,
        1.38734,
        1.33377,
        1.27617,
        1.29956,
        1.31831,
        1.34521,
        1.30079,
        1.29953,
        1.30612,
        1.28427,
        1.31239,
        1.27233,
        1.30988,
        1.28247,
        1.29183,
        1.24353,
        1.25474,
        1.26945,
        1.30432,
        1.2457,
        1.28342,
        1.30255,
        1.23735,
        1.26192,
        1.25392,
        1.28446,
        1.28773,
        1.3013,
        1.31051,
        1.29869,
        1.28791,
        1.29249,
        1.25958,
        1.2484,
        1.26999,
        1.29948,
        1.26604,
        1.2895,
        1.28609,
        1.30872,
        1.28268,
        1.21384,
        1.24685,
        1.29797,
        1.27621,
        1.3951,
        1.31493,
        1.37261,
        1.28736,
        1.26813,
        1.31255,
        1.34704,
        1.29594,
        1.30345,
        1.2887,
        1.2779,
        1.31507,
        1.30424,
        1.27536,
        1.24864,
        1.28311,
        1.26503,
        1.32275,
        1.28797,
        1.28679,
        1.26776,
        1.26283,
        1.30582,
        1.32155,
        1.31657,
        1.29677,
        1.29536,
        1.27307,
        1.27314,
        1.29102,
        1.27213,
        1.29464,
        1.23621,
        1.28006,
        1.28295,
        1.37018,
        1.31775,
        1.35702,
        1.30966,
        1.25524,
        1.29278,
        1.30063,
        1.33118,
        1.30114,
        1.23654,
        1.36006,
        1.31627,
        1.30612,
        1.29309,
        1.24854,
        1.2632,
        1.25557,
        1.22587,
        1.30443,
        1.33324,
        1.27599,
        1.31375,
        1.39266,
        1.40175,
        1.37815,
        1.28844,
        1.28491,
        1.26811,
        1.23607,
        1.29193,
        1.26162,
        1.19716,
        1.22694,
        1.30593,
        1.30967,
        1.32842,
        1.28771,
        1.23826,
        1.29981,
        1.29281,
        1.30016,
        1.28172,
        1.30586,
        1.23752,
        1.24299,
        1.27265,
        1.28434,
        1.28063,
        1.28037,
        1.2878,
        1.28594,
        1.22804,
        1.25428,
        1.28675,
        1.29952,
        1.29771,
        1.24607,
        1.29393,
        1.25027,
        1.32936,
        1.30882,
        1.31082,
        1.24308,
        1.27597,
        1.28618,
        1.28704,
        1.26951,
        1.26846,
        1.26348,
        1.26927,
        1.32148,
        1.23265,
        1.19641,
        1.30505,
        1.24241,
        1.36374,
        1.36441,
        1.31124,
        1.25541,
        1.32879,
        1.35999,
        1.29892,
        1.2825,
        1.34648,
        1.27393,
        1.26618,
        1.34411,
        1.32101,
        1.28924,
        1.32324,
        1.41469,
        1.32945,
        1.25247,
        1.26429,
        1.28941,
        1.36219,
        1.28236,
        1.37804,
        1.30822,
        1.26658,
        1.22961,
        1.23241,
        1.30201,
        1.29771,
        1.28244,
        1.27512,
        1.29175,
        1.25523,
        1.26576,
        1.29979,
        1.24188,
        1.25423,
        1.30092,
        1.32103,
        1.38691,
        1.30883,
        1.29399,
        1.32923,
        1.2245,
        1.29494,
        1.29613,
        1.25038,
        1.25194,
        1.29076,
        1.33679,
        1.37462,
        1.27233,
        1.05679,
        1.13335,
        1.51644,
        1.61243,
        1.41208,
        1.29144,
        1.33679,
        1.31187,
        1.31123,
        1.19571,
        1.27701,
        1.28486,
        1.32508,
        1.38097,
        1.42065,
        1.32677,
        1.31075,
        1.26019,
        1.4025,
        1.4944,
        1.41094,
        1.14714,
        1.26036,
        1.29006,
        1.55415,
        1.52576,
        1.53802,
        1.31153,
        1.57807,
        1.34136,
        1.27117,
        1.17017,
        1.31628,
        1.3254,
        1.33138,
        1.27519,
        1.26344,
        1.28734,
        1.3448,
        1.31747,
        1.31945,
        1.2755,
        1.31155,
        1.30961,
        1.24914,
        1.29498,
        1.29749,
        1.33588,
        1.33477,
        1.27207,
        1.26806,
        1.2948,
        1.26539,
        1.24393,
        1.2844,
        1.32057,
        1.2666,
        1.27849,
        1.23102,
        1.24246,
        1.43399,
        1.27322,
        1.39422,
        1.3117,
        1.37842,
        1.32843,
        1.31451,
        1.38916,
        1.41119,
        1.32359,
        1.42755,
        1.32073,
        1.29214,
        1.33043,
        1.34916,
        1.30347,
        1.31801,
        1.32625,
        1.24768,
        1.37815,
        1.30137,
        1.32458,
        1.27255,
        1.28369,
        1.28724,
        1.30597,
        1.2684,
        1.32063,
        1.34195,
        1.21904,
        1.37524,
        1.22208,
        1.38752,
        1.37347,
        1.38735,
        1.23917,
        1.3192,
        1.34934,
        1.32037,
        1.30681,
        1.28901,
        1.27318,
        1.23033,
        1.31885,
        1.44615,
        1.57048,
        1.26753,
        1.38015,
        1.50904,
        1.22072,
        1.26189,
        1.42428,
        1.38883,
        1.37681,
        1.42796,
        1.33065,
        1.42464,
        1.34113,
        1.34874,
        1.38489,
        1.3761,
        1.37116,
        1.2708,
        1.37515,
        1.28849,
        1.26503,
        1.27346,
        1.25491,
        1.24281,
        1.23955,
        1.30336,
        1.26174,
        1.27086,
        1.24118,
        1.29786,
        1.29973,
        1.36963,
        1.39242,
        1.44937,
        1.59802,
        1.62239,
        1.64279,
        1.60197,
        1.55829,
        1.59612,
        1.47522,
        1.30257,
        1.42346,
        1.39827,
        1.30136,
        1.32106,
        1.37175,
        1.35171,
        1.36983,
        1.41293,
        1.3579,
        1.31551,
        1.396,
        1.70895,
        1.68563,
        1.49814,
        1.38554,
        1.41512,
        1.51248,
        1.21001,
        1.2778,
        1.45118,
        1.255,
        1.24998,
        1.33241,
        1.27608,
        1.32387,
        1.24971,
        1.27868,
        1.24687,
        1.28249,
        1.28546,
        1.24954,
        1.24897,
        1.3159,
        1.31664,
        1.24009,
        1.31541,
        1.23858,
        1.28188,
        1.32186,
        1.28897,
        1.2632,
        1.24213,
        1.24791,
        1.24674,
        1.31891,
        1.37686,
        1.34385,
        1.28801,
        1.30083,
        1.36121,
        1.34869,
        1.26941,
        1.32138,
        1.40404,
        1.39486,
        1.25578,
        1.29634,
        1.26995,
        1.22529,
        1.25391,
        1.19971,
        1.26089,
        1.3068,
        1.27437,
        1.29199,
        1.27095,
        1.32182,
        1.30096,
        1.31057,
        1.305,
        1.29854,
        1.33498,
        1.26239,
        1.26119,
        1.29948,
        1.32586,
        1.29018,
        1.17831,
        1.19659,
        1.11255,
        1.31753,
        1.34416,
        1.45468,
        1.4503,
        1.3524,
        1.32588,
        1.30959,
        1.26881,
        1.28258,
        1.25742,
        1.22149,
        1.25411,
        1.24795,
        1.27359,
        1.29768,
        1.27024,
        1.23957,
        1.21521,
        1.25412,
        1.37671,
        1.28777,
        1.29122,
        1.19056,
        1.28524,
        1.24599,
        1.15671,
        1.21549,
        1.25994,
        1.30746,
        1.28395,
        1.20659,
        1.2102,
        1.20695,
        1.2113,
        1.24794,
        1.30133,
        1.35457,
        1.22589,
        1.33676,
        1.33595,
        1.42107,
        1.25777,
        1.2819,
        1.28823,
        1.36974,
        1.38835,
        1.35976,
        1.35204,
        1.26565,
        1.20961,
        1.27348,
        1.34524,
        1.35264,
        1.36874,
        1.3475,
        1.2702,
        1.29998,
        1.25277,
        1.26916,
        1.29795,
        1.2502,
        1.33422,
        1.264,
        1.32573,
        1.31041,
        1.2606,
        1.26642,
        1.27441,
        1.16119,
        1.2318,
        1.30776,
        1.42569,
        1.3425,
        1.28143,
        1.29137,
        1.33155,
        1.3316,
        1.32303,
        1.252,
        1.03224,
        1.2423,
        1.24701,
        1.29784,
        1.24515,
        1.34291,
        1.34411,
        1.31885,
        1.24152,
        1.21286,
        1.31226,
        1.28618,
        1.26247,
        1.19058,
        1.26434,
        1.30473,
        1.31622,
        1.31822,
        null,
        1.14788,
        1.1006,
        1.03678,
        1.23117,
        1.26586,
        1.13297,
        1.31281,
        1.20603,
        1.12231,
        1.12984,
        1.33267,
        1.45898,
        1.55284,
        1.26029,
        1.30347,
        1.37721,
        1.27098,
        1.14186,
        1.35926,
        1.31309,
        1.25675,
        1.23294,
        1.24293,
        1.22797,
        1.30412,
        1.21306,
        1.2985,
        1.48171,
        1.48683,
        1.48115,
        1.44413,
        1.38356,
        1.17782,
        1.24986,
        1.16073,
        1.19764,
        1.12774,
        1.37409,
        1.32802,
        1.24437,
        1.30347,
        1.24171,
        1.35572,
        1.14519,
        1.37073,
        1.28006,
        1.2933,
        1.22067,
        1.18058,
        1.25551,
        1.18878,
        1.24579,
        1.30678,
        1.26715,
        1.21916,
        1.25594,
        1.1722,
        1.18799,
        1.17368,
        1.13312,
        1.26683,
        1.23317,
        1.29863,
        1.46465,
        1.17957,
        1.27911,
        1.25105,
        1.34003,
        1.48251,
        1.38292,
        1.30335,
        1.33101,
        1.14749,
        1.38902,
        1.36398,
        1.22695,
        1.41474,
        1.26967,
        1.30849,
        1.21019,
        1.23098,
        1.19498,
        1.39702,
        1.51256,
        1.70475,
        1.75497,
        1.71385,
        1.529,
        1.54042,
        1.51674,
        1.36728,
        1.4048,
        1.24967,
        1.36954,
        1.30643,
        1.32638,
        1.29314,
        1.30195,
        1.19915,
        1.37184,
        1.37345,
        1.84093,
        1.31106,
        1.57632,
        1.11369,
        1.34611,
        1.18833,
        1.39685,
        1.42327,
        1.33401,
        1.29572,
        1.41336,
        1.41827,
        1.27961,
        1.16345,
        1.32081,
        1.39076,
        1.31436,
        1.1643,
        1.28222,
        1.27114,
        1.17004,
        1.22447,
        1.32308,
        1.19194,
        1.12885,
        1.21796,
        1.291,
        1.26039,
        1.21681,
        1.10779,
        1.32345,
        1.57924,
        1.28798,
        1.29725,
        1.39973,
        1.33914,
        1.34304,
        1.28664,
        1.21118,
        1.17816,
        1.22862,
        1.26407,
        1.18553,
        1.2951,
        1.33249,
        1.32355,
        1.25584,
        1.29575,
        1.22792,
        1.13831,
        1.25136,
        1.26826,
        1.21001,
        1.29222,
        1.28219,
        1.13515,
        1.2145,
        1.33188,
        1.13991,
        1.46192,
        1.43226,
        1.36039,
        1.32647,
        1.31655,
        1.32697,
        1.23426,
        1.2086,
        1.21489,
        1.18072,
        1.0921,
        1.31132,
        1.45717,
        1.41857,
        1.43704,
        1.27612,
        1.21347,
        1.25797,
        1.21865,
        1.29093,
        1.27778,
        1.33203,
        1.27611,
        1.32881,
        1.25684,
        1.1845,
        1.22384,
        1.28857,
        1.25276,
        1.29049,
        1.26679,
        1.18813,
        1.24698,
        1.25714,
        1.16826,
        1.17449,
        1.19354,
        1.17129,
        1.25075,
        1.27661,
        1.28136,
        1.19643,
        1.25325,
        1.20685,
        1.20096,
        1.19126,
        1.20189,
        1.17145,
        1.24984,
        1.14092,
        1.12626,
        1.11572,
        1.20736,
        1.17688,
        1.17225,
        1.20998,
        1.17011,
        1.21904,
        1.23261,
        1.18725,
        1.12696,
        1.21054,
        1.15661,
        1.23969,
        1.24973,
        1.24322,
        1.21651,
        1.2591,
        1.28256,
        1.28912,
        1.34875,
        1.25008,
        1.28369,
        1.27014,
        1.25394,
        1.26412,
        1.21935,
        1.28802,
        1.26666,
        1.30399,
        1.26659,
        1.23833,
        1.24687,
        1.16575,
        1.14944,
        1.1228,
        1.12565,
        1.2274,
        1.1276,
        1.29974,
        1.39074,
        1.29651,
        1.21555,
        1.26043,
        1.3189,
        1.25883,
        1.14715,
        1.23709,
        1.24373,
        1.1943,
        1.10796,
        1.28952,
        1.46476,
        1.40127,
        1.19712,
        1.38704,
        1.59389,
        1.41576,
        1.47564,
        1.46606,
        1.30454,
        1.34863,
        1.26763,
        1.21688,
        1.26817,
        1.2888,
        1.22232,
        1.16717,
        1.20374,
        1.22631,
        1.32753,
        1.35872,
        1.27298,
        1.29559,
        1.25097,
        1.17563,
        1.21127,
        1.16443,
        1.21894,
        1.24559,
        1.23846,
        1.20731,
        1.24676,
        1.25671,
        1.18359,
        1.1749,
        1.15778,
        1.21175,
        1.20706,
        1.45598,
        1.34494,
        1.41909,
        1.44312,
        1.31281,
        1.39265,
        1.26859,
        1.27711,
        1.16666,
        1.17048,
        1.17543,
        1.3808,
        1.52533,
        1.24724,
        1.29662,
        1.26366,
        1.27042,
        1.25035,
        1.27212,
        1.21194,
        1.18779,
        1.27218,
        1.30127,
        1.29574,
        1.22891,
        1.23256,
        1.17194,
        1.26834,
        1.2262,
        1.34379,
        1.32708,
        1.23991,
        1.23987,
        1.29575,
        1.23743,
        1.202,
        1.27503,
        1.26675,
        1.1948,
        1.10194,
        1.29922,
        1.3298,
        1.19027,
        1.37664,
        1.34427,
        1.35923,
        1.34452,
        1.29252,
        1.26204,
        1.27125,
        1.28895,
        1.23772,
        1.35426,
        1.29141,
        1.18808,
        1.18238,
        1.25237,
        1.24013,
        1.20745,
        1.19137,
        1.22104,
        1.21041,
        1.27169,
        1.2971,
        1.24691,
        1.25911,
        1.26248,
        1.29284,
        1.18651,
        1.1601,
        1.17065,
        1.2261,
        1.19249,
        1.2324,
        1.32475,
        1.21754,
        1.31713,
        1.27728,
        1.31428,
        1.24991,
        1.28733,
        1.22941,
        1.18042,
        1.19572,
        1.22962,
        1.28157,
        1.23516,
        1.31629,
        1.28111,
        1.27437,
        1.25249,
        1.17523,
        1.25141,
        1.26377,
        1.25255,
        1.25003,
        1.30729,
        1.40828,
        1.36671,
        1.23353,
        1.33309,
        1.25859,
        1.29751,
        1.31467,
        1.2454,
        1.29555,
        1.34569,
        1.24033,
        1.30692,
        1.28233,
        1.31403,
        1.25631,
        1.22866,
        1.25658,
        1.23633,
        1.23959,
        1.3235,
        1.33815,
        1.20542,
        1.24379,
        1.30422,
        1.21017,
        1.23184,
        1.29221,
        1.20923,
        1.21955,
        1.1789,
        1.22887,
        1.1991,
        1.18162,
        1.29569,
        1.22928,
        1.3981,
        1.25643,
        1.22631,
        1.25552,
        1.25997,
        1.24845,
        1.43126,
        1.3824,
        1.44692,
        1.31622,
        1.33098,
        1.26381,
        1.21589,
        1.29098,
        1.21599,
        1.30531,
        1.31242,
        1.3247,
        1.38902,
        1.25812,
        1.36247,
        1.32718,
        1.48165,
        1.30366,
        1.24894,
        1.404,
        1.50505,
        1.48935,
        1.43226,
        1.3297,
        1.40478,
        1.29057,
        1.30641,
        1.31763,
        1.34507,
        1.29012,
        1.34396,
        1.34773,
        1.31273,
        1.19749,
        1.31434,
        1.24217,
        1.36441,
        1.29637,
        1.23428,
        1.23489,
        1.26398,
        1.25547,
        1.28798,
        1.2734,
        1.25852,
        1.27166,
        1.23544,
        1.28225,
        1.27512,
        1.24702,
        1.22495,
        1.26425,
        1.25661,
        1.30206,
        1.27958,
        1.32589,
        1.49835,
        1.67052,
        1.75803,
        1.68933,
        1.71552,
        1.64379,
        1.50916,
        1.37494,
        1.32331,
        1.33218,
        1.31755,
        1.31167,
        1.30326,
        1.27263,
        1.21984,
        1.35803,
        1.36041,
        1.66186,
        1.41703,
        1.55595,
        1.89986,
        1.71857,
        1.78962,
        1.24329,
        1.19131,
        1.37998,
        1.37145,
        1.38913,
        1.44555,
        1.39929,
        1.28695,
        1.25592,
        1.32178,
        1.26285,
        1.23827,
        1.31357,
        1.39591,
        1.28345,
        1.32857,
        1.28831,
        1.24852,
        1.26385,
        1.26148,
        1.11572,
        1.18182,
        1.25642,
        1.41787,
        1.29688,
        1.22084,
        1.19647,
        1.35484,
        1.2809,
        1.17902,
        1.3078,
        1.28651,
        1.29831,
        1.32121,
        1.19993,
        1.28035,
        1.29659,
        1.1733,
        1.26697,
        1.34041,
        1.1916,
        1.48626,
        1.34911,
        1.58229,
        1.37267,
        1.36947,
        1.60194,
        1.56891,
        2.05024,
        2.03923,
        1.82063,
        1.47465,
        1.39116,
        1.36364,
        1.30626,
        1.18944,
        1.38106,
        1.24498,
        1.48979,
        1.38481,
        1.31607,
        1.266,
        1.29432,
        1.14464,
        1.24436,
        1.22017,
        1.31453,
        1.34747,
        1.35383,
        1.22439,
        1.17218,
        1.18781,
        1.26315,
        1.24472,
        1.2162,
        1.45602,
        1.36092,
        1.29759,
        1.30641,
        1.25457,
        1.27782,
        1.37677,
        1.26765,
        1.34738,
        1.37583,
        1.27034,
        1.30625,
        1.23058,
        1.23646,
        1.29248,
        1.25359,
        1.24751,
        1.35405,
        1.30681,
        1.25842,
        1.21676,
        1.38964,
        1.53171,
        1.51147,
        1.35145,
        1.57385,
        1.50775,
        1.50628,
        1.34481,
        1.41586,
        1.38839,
        1.28535,
        1.35307,
        1.33242,
        1.25585,
        1.29789,
        1.23455,
        1.22258,
        1.33115,
        1.30108,
        1.25289,
        1.31706,
        1.23438,
        1.15783,
        1.23573,
        1.26655,
        1.25813,
        1.27876,
        1.31316,
        1.32352,
        1.36023,
        1.33466,
        1.32453,
        1.25768,
        1.27744,
        1.26414,
        1.2683,
        1.23716,
        1.25406,
        1.30965,
        1.27356,
        1.19791,
        1.24993,
        1.29667,
        1.29383,
        1.17278,
        1.25568,
        1.24729,
        1.30715,
        1.33042,
        1.27398,
        1.283,
        1.33999,
        1.23898,
        1.3077,
        1.27596,
        1.3383,
        1.3147,
        1.31045,
        1.27659,
        1.24933,
        1.19535,
        1.26662,
        1.29312,
        1.33472,
        1.33898,
        1.38224,
        1.34796,
        1.23152,
        1.24553,
        1.26992,
        1.2935,
        1.25128,
        1.20987,
        1.18638,
        1.20214,
        1.19769,
        1.19675,
        1.19887,
        1.22338,
        1.27401,
        1.21681,
        1.21815,
        1.23504,
        1.26695,
        1.25162,
        1.25328,
        1.22921,
        1.28117,
        1.29275,
        1.33164,
        1.30686,
        1.31481,
        1.23598,
        1.24622,
        1.2866,
        1.22909,
        1.2729,
        1.27219,
        1.26682,
        1.23455,
        1.23728,
        1.25224,
        1.23525,
        1.25672,
        1.29364,
        1.2843,
        1.25698,
        1.29106,
        1.31437,
        1.2762,
        1.30096,
        1.25465,
        1.28503,
        1.27737,
        1.24587,
        1.22773,
        1.26855,
        1.32564,
        1.33336,
        1.34218,
        1.31502,
        1.31902,
        1.30317,
        1.27586,
        1.18423,
        1.16335,
        1.21817,
        1.18047,
        1.24533,
        1.33041,
        1.24396,
        1.35903,
        1.28715,
        1.29298,
        1.28036,
        1.29389,
        1.29253,
        1.28154,
        1.27964,
        1.23067,
        1.23672,
        1.26505,
        1.2127,
        1.31274,
        1.22348,
        1.16496,
        1.20394,
        1.23299,
        1.21782,
        1.20391,
        1.24258,
        1.2228,
        1.25757,
        1.28161,
        1.26783,
        1.30867,
        1.28865,
        1.30424,
        1.26205,
        1.24323,
        1.25047,
        1.24252,
        1.29376,
        1.26168,
        1.28897,
        1.25352,
        1.23106,
        1.22736,
        1.23181,
        1.2393,
        1.27657,
        1.25422,
        1.23044,
        1.2345,
        1.29133,
        1.29558,
        1.29612,
        1.26428,
        1.2697,
        1.22654,
        1.26213,
        1.25707,
        1.24743,
        1.26822,
        1.27955,
        1.25073,
        1.21919,
        1.23347,
        1.22311,
        1.23613,
        1.26916,
        1.22966,
        1.22051,
        1.2273,
        1.22738,
        1.25778,
        1.2183,
        1.18986,
        1.21286,
        1.2377,
        1.2618,
        1.21694,
        1.25285,
        1.22171,
        1.25611,
        1.22136,
        1.28311,
        1.25905,
        1.2602,
        1.25989,
        1.27266,
        1.28949,
        1.2876,
        1.28027,
        1.26783,
        1.24169,
        1.24561,
        1.2666,
        1.25449,
        1.28087,
        1.25249,
        1.2196,
        1.25901,
        1.28344,
        1.28692,
        1.31022,
        1.24757,
        1.22611,
        1.30122,
        1.26916,
        1.30058,
        1.34552,
        1.24398,
        1.28342,
        1.30204,
        1.26127,
        1.28498,
        1.23724,
        1.23435,
        1.219,
        1.23974,
        1.26493,
        1.21011,
        1.18227,
        1.24499,
        1.2209,
        1.20826,
        1.2976,
        1.26474,
        1.24557,
        1.22783,
        1.27552,
        1.2589,
        1.2847,
        1.1979,
        1.25426,
        1.26875,
        1.26414,
        1.27019,
        1.27735,
        1.2711,
        1.24484,
        1.16557,
        1.20668,
        1.21434,
        1.22457,
        1.21058,
        1.23656,
        1.27571,
        1.30026,
        1.23515,
        1.29593,
        1.2156,
        1.25796,
        1.22247,
        1.22661,
        1.24368,
        1.29332,
        1.33814,
        1.29146,
        1.33289,
        1.34258,
        1.24517,
        1.22341,
        1.24305,
        1.29073,
        1.3573,
        1.35598,
        1.4196,
        1.23527,
        1.2486,
        1.34575,
        1.37276,
        1.60923,
        1.7637,
        1.64672,
        1.58791,
        1.55901,
        1.42559,
        1.30355,
        1.21989,
        1.25131,
        1.37807,
        1.32778,
        1.36227,
        1.45044,
        1.33878,
        1.3722,
        1.39575,
        1.31225,
        1.42053,
        1.26459,
        1.57773,
        1.95235,
        1.42615,
        1.66727,
        1.27914,
        1.22812,
        1.34588,
        1.35895,
        1.34781,
        1.4256,
        1.36322,
        1.32486,
        1.34378,
        1.28328,
        1.30366,
        1.30633,
        1.28427,
        1.31886,
        1.33201,
        1.24713,
        1.229,
        1.27212,
        1.27122,
        1.17461,
        1.22004,
        1.22727,
        1.30211,
        1.22883,
        1.22727,
        1.26207,
        1.27019,
        1.31139,
        1.29949,
        1.24342,
        1.20734,
        1.26586,
        1.25799,
        1.24145,
        1.24262,
        1.20678,
        1.25243,
        1.24676,
        1.25826,
        1.29906,
        1.25018,
        1.271,
        1.21317,
        1.29718,
        1.27615,
        1.26776,
        1.18999,
        1.18688,
        1.21919,
        1.23474,
        1.24771,
        1.23792,
        1.22674,
        1.23369,
        1.22541,
        1.26054,
        1.28695,
        1.22357,
        1.22391,
        1.21869,
        1.28177,
        1.22682,
        1.23679,
        1.2509,
        1.27217,
        1.23761,
        1.23865,
        1.2483,
        1.25062,
        1.25947,
        1.24997,
        1.29214,
        1.28706,
        1.26491,
        1.28385,
        1.29081,
        1.25093,
        1.32464,
        1.28676,
        1.38242,
        1.30067,
        1.41218,
        1.33571,
        1.30523,
        1.20967,
        1.19179,
        1.24463,
        1.29614,
        1.27512,
        1.25598,
        1.34654,
        1.35177,
        1.30902,
        1.30773,
        1.24914,
        1.27996,
        1.26128,
        1.22618,
        1.22527,
        1.2363,
        1.2216,
        1.27371,
        1.23225,
        1.18652,
        1.27145,
        1.36219,
        1.31425,
        1.32134,
        1.25918,
        1.31101,
        1.27613,
        1.26479,
        1.32983,
        1.29423,
        1.23069,
        1.25162,
        1.23003,
        1.26812,
        1.3037,
        1.30883,
        1.349,
        1.28851,
        1.32706,
        1.28229,
        1.22605,
        1.27108,
        1.25659,
        1.25616,
        1.2255,
        1.25734,
        1.32816,
        1.26983,
        1.29974,
        1.26034,
        1.29447,
        1.28154,
        1.29603,
        1.2585,
        1.36044,
        1.40815,
        1.23777,
        1.28836,
        1.39837,
        1.3006,
        1.36889,
        1.37536,
        1.28968,
        1.39029,
        1.38265,
        1.3689,
        1.39488,
        1.3259,
        1.32941,
        1.2668,
        1.19072,
        1.25286,
        1.30483,
        1.31479,
        1.29412,
        1.34598,
        1.2905,
        1.24575,
        1.25139,
        1.26473,
        1.24607,
        1.26242,
        1.29876,
        1.31091,
        1.34158,
        1.24293,
        1.31037,
        1.29554,
        1.26109,
        1.39082,
        1.28015,
        1.288,
        1.26463,
        1.26232,
        1.28425,
        1.29414,
        1.29149,
        1.24656,
        1.32895,
        1.28082,
        1.24686,
        1.34527,
        1.30351,
        1.30798,
        1.2815,
        1.30023,
        1.32926,
        1.3488,
        1.27645,
        1.25943,
        1.28232,
        1.36136,
        1.27808,
        1.27537,
        1.26794,
        1.31369,
        1.27791,
        1.23797,
        1.28136,
        1.29866,
        1.33743,
        1.32325,
        1.3001,
        1.33132,
        1.30781,
        1.2852,
        1.27819,
        1.22855,
        1.24398,
        1.28479,
        1.2657,
        1.20303,
        1.25914,
        1.30783,
        1.2701,
        1.29883,
        1.30707,
        1.29102,
        1.29352,
        1.28733,
        1.21852,
        1.30488,
        1.35216,
        1.26932,
        1.2571,
        1.3144,
        1.36528,
        1.33579,
        1.21411,
        1.26857,
        1.33118,
        1.27922,
        1.36615,
        1.30753,
        1.31005,
        1.34471,
        1.41985,
        1.45994,
        1.37119,
        1.31432,
        1.30229,
        1.3188,
        1.33921,
        1.31246,
        1.26059,
        1.16934,
        1.28363,
        1.38081,
        1.38393,
        1.35768,
        1.33591,
        1.2913,
        1.32365,
        1.3143,
        1.28261,
        1.33451,
        1.35521,
        1.32486,
        1.26781,
        1.34977,
        1.32895,
        1.30658,
        1.3388,
        1.28656,
        1.30689,
        1.26452,
        1.23923,
        1.3274,
        1.34276,
        1.28818,
        1.27963,
        1.32622,
        1.28146,
        1.279,
        1.30472,
        1.34771,
        1.36595,
        1.35646,
        1.29876,
        1.29713,
        1.25721,
        1.27364,
        1.32896,
        1.27102,
        1.31816,
        1.29658,
        1.30318,
        1.32581,
        1.3631,
        1.256,
        1.32844,
        1.35277,
        1.32901,
        1.32433,
        1.30949,
        1.28845,
        1.25629,
        1.25038,
        1.35156,
        1.34689,
        1.26831,
        1.31198,
        1.34571,
        1.36799,
        1.38511,
        1.35384,
        1.34465,
        1.34977,
        1.34093,
        1.39409,
        1.3911,
        1.281,
        1.41907,
        1.39643,
        1.33156,
        1.33569,
        1.43986,
        1.38858,
        1.36881,
        1.31867,
        1.39542,
        1.32967,
        1.23939,
        1.24296,
        1.29513,
        1.2754,
        1.35764,
        1.27905,
        1.23364,
        1.23001,
        1.32362,
        1.28509,
        1.29392,
        1.27115,
        1.29495,
        1.25641,
        1.24036,
        1.28213,
        1.26843,
        1.24871,
        1.27102,
        1.25555,
        1.24593,
        1.3133,
        1.27972,
        1.28403,
        1.22862,
        1.24116,
        1.29775,
        1.33489,
        1.25848,
        1.26962,
        1.30578,
        1.29224,
        1.30024,
        1.34215,
        1.35171,
        1.26878,
        1.27166,
        1.32417,
        1.3074,
        1.30513,
        1.28558,
        1.2989,
        1.38542,
        1.33456,
        1.35583,
        1.39535,
        1.36871,
        1.34185,
        1.3196,
        1.36944,
        1.33522,
        1.3551,
        1.31024,
        1.34142,
        1.37385,
        1.32074,
        1.301,
        1.20169,
        1.29447,
        1.26424,
        1.22821,
        1.28507,
        1.35212,
        1.3118,
        1.28541,
        1.36457,
        1.36284,
        1.29211,
        1.2886,
        1.31889,
        1.33742,
        1.28073,
        1.2918,
        1.33942,
        1.29967,
        1.30192,
        1.29299,
        1.29631,
        1.3675,
        1.30701,
        1.26222,
        1.25004,
        1.26956,
        1.23197,
        1.25395,
        1.32211,
        1.3396,
        1.31595,
        1.31836,
        1.30268,
        1.31031,
        1.32264,
        1.23663,
        1.25952,
        1.31547,
        1.28753,
        1.35941,
        1.28415,
        1.31324,
        1.3448,
        1.33193,
        1.30077,
        1.26062,
        1.23749,
        1.31634,
        1.35701,
        1.2873,
        1.36623,
        1.56622,
        1.74152,
        1.70624,
        1.76368,
        1.7158,
        1.59753,
        1.61632,
        1.55331,
        1.49213,
        1.56588,
        1.45271,
        1.4128,
        1.34136,
        1.3711,
        1.48858,
        1.30913,
        1.2545,
        1.42604,
        1.77261,
        1.3937,
        1.80622,
        1.51729,
        1.43374,
        1.51591,
        1.42574,
        1.48286,
        1.32523,
        1.2442,
        1.34021,
        1.31751,
        1.32628,
        1.20913,
        1.23504,
        1.3218,
        1.36115,
        1.30065,
        1.5809,
        1.28408,
        1.28314,
        1.43093,
        1.32819,
        1.36267,
        1.54376,
        1.55497,
        1.22263,
        1.42606,
        1.43034,
        1.31586,
        1.35639,
        1.38171,
        1.41125,
        1.28484,
        1.23206,
        1.32307,
        1.32344,
        1.3307,
        1.37211,
        1.3173,
        1.34196,
        1.36032,
        1.31396,
        1.28643,
        1.30575,
        1.33776,
        1.34438,
        1.35497,
        1.29233,
        1.34906,
        1.36747,
        1.33337,
        1.351,
        1.28596,
        1.3321,
        1.33091,
        1.32387,
        1.3285,
        1.36951,
        1.36661,
        1.28484,
        1.27213,
        1.27245,
        1.22705,
        1.27902,
        1.29214,
        1.322,
        1.20601,
        1.23717,
        1.275,
        1.2573,
        1.29337,
        1.31166,
        1.2787,
        1.25501,
        1.24864,
        1.28358,
        1.31217,
        1.26986,
        1.27909,
        1.32084,
        1.34354,
        1.32984,
        1.37603,
        1.30609,
        1.31825,
        1.30635,
        1.30628,
        1.33004,
        1.2519,
        1.31159,
        1.342,
        1.29509,
        1.32989,
        1.35439,
        1.34637,
        1.26485,
        1.35365,
        1.41462,
        1.44035,
        1.39309,
        1.28341,
        1.2658,
        1.3229,
        1.34133,
        1.29515,
        1.40982,
        1.28255,
        1.19335,
        1.28077,
        1.32693,
        1.31997,
        1.43537,
        1.29737,
        1.16273,
        1.8066,
        1.6463,
        1.56316,
        1.36152,
        1.52395,
        1.5056,
        1.37853,
        1.35215,
        1.44855,
        1.41306,
        1.27705,
        1.25591,
        1.24604,
        1.30329,
        1.36457,
        1.31178,
        1.39357,
        1.32009,
        1.31958,
        1.28082,
        1.27631,
        1.32632,
        1.28083,
        1.3053,
        1.3081,
        1.31911,
        1.2851,
        1.34436,
        1.37189,
        1.26808,
        1.2433,
        1.24202,
        1.36091,
        1.31599,
        1.30293,
        1.29303,
        1.28453,
        1.29607,
        1.35167,
        1.38629,
        1.41597,
        1.31872,
        1.34179,
        1.4077,
        1.32129,
        1.36466,
        1.29985,
        1.32007,
        1.34349,
        1.36594,
        1.29865,
        1.30146,
        1.20688,
        1.25872,
        1.25736,
        1.19985,
        1.39587,
        1.3367,
        1.31248,
        1.26452,
        1.28549,
        1.29675,
        1.23538,
        1.34361,
        1.29993,
        1.35525,
        1.36869,
        1.30593,
        1.24965,
        1.25116,
        1.33333,
        1.32213,
        1.31654,
        1.30941,
        1.47251,
        1.37652,
        1.26827,
        1.3249,
        1.33968,
        1.27276,
        1.29568,
        1.30681,
        1.26408,
        1.30368,
        1.3248,
        1.31398,
        1.22104,
        1.31664,
        1.28383,
        1.32639,
        1.33688,
        1.30087,
        1.43068,
        1.44218,
        1.4037,
        1.36701,
        1.12294,
        1.31868,
        1.44083,
        1.44193,
        1.32245,
        1.28869,
        1.32751,
        1.35626,
        1.38855,
        1.38758,
        1.33461,
        1.26747,
        1.31997,
        1.29099,
        1.32418,
        1.3506,
        1.33864,
        1.31212,
        1.21026,
        1.29163,
        1.30896,
        1.33959,
        1.38207,
        1.2413,
        1.18876,
        1.37261,
        1.3151,
        1.29185,
        1.27845,
        1.28412,
        1.33088,
        1.26536,
        1.25409,
        1.29115,
        1.3261,
        1.28415,
        1.20931,
        1.25124,
        1.26127,
        1.29856,
        1.23087,
        1.20769,
        1.2554,
        1.25744,
        1.30229,
        1.2924,
        1.31824,
        1.22634,
        1.22029,
        1.25166,
        1.18428,
        1.31307,
        1.29364,
        1.35846,
        1.32264,
        1.30997,
        1.34119,
        1.28994,
        1.2897,
        1.30524,
        1.24721,
        1.29577,
        1.24618,
        1.22089,
        1.24331,
        1.21741,
        1.26977,
        1.23754,
        1.26249,
        1.23621,
        1.30255,
        1.30546,
        1.40476,
        1.26121,
        1.25854,
        1.25755,
        1.25033,
        1.27368,
        1.28654,
        1.29371,
        1.25082,
        1.20299,
        1.23846,
        1.29988,
        1.31339,
        1.24587,
        1.27426,
        1.30856,
        1.26438,
        1.27859,
        1.28588,
        1.23456,
        1.21419,
        1.23676,
        1.2926,
        1.33549,
        1.36556,
        1.32853,
        1.30974,
        1.29426,
        1.26102,
        1.21512,
        1.2661,
        1.27888,
        1.28827,
        1.29094,
        1.27232,
        1.23583,
        1.21709,
        1.2698,
        1.26973,
        1.23796,
        1.24089,
        1.26652,
        1.29991,
        1.24942,
        1.25537,
        1.22657,
        1.23742,
        1.23408,
        1.30001,
        1.29862,
        1.26921,
        1.22529,
        1.29462,
        1.26946,
        1.2563,
        1.29741,
        1.30976,
        1.20234,
        1.23591,
        1.40327,
        1.40066,
        1.3261,
        1.22829,
        1.33832,
        1.41095,
        1.29927,
        1.26976,
        1.26901,
        1.29178,
        1.29219,
        1.27334,
        1.25481,
        1.23555,
        1.25862,
        1.25746,
        1.29759,
        1.25995,
        1.26271,
        1.30544,
        1.32746,
        1.25614,
        1.26756,
        1.26726,
        1.26047,
        1.19442,
        1.29496,
        1.32205,
        1.20973,
        1.20759,
        1.2454,
        1.23163,
        1.34615,
        1.29989,
        1.18085,
        1.17226,
        1.24995,
        1.22918,
        1.26696,
        1.27251,
        1.29302,
        1.21787,
        1.19484,
        1.20331,
        1.25088,
        1.30726,
        1.26381,
        1.21134,
        1.27233,
        1.27638,
        1.20449,
        1.18342,
        1.5009,
        1.53724,
        1.26241,
        1.28586,
        1.30655,
        1.30826,
        1.34016,
        1.434,
        1.28517,
        1.26841,
        1.31371,
        1.32548,
        1.28952,
        1.35683,
        1.32785,
        1.28216,
        1.24779,
        1.26572,
        1.27602,
        1.32607,
        1.27438,
        1.31963,
        1.28255,
        1.26325,
        1.24218,
        1.28239,
        1.23179,
        1.25387,
        1.23315,
        1.35388,
        1.27617,
        1.2733,
        1.30347,
        1.31893,
        1.30699,
        1.28254,
        1.26519,
        1.29076,
        1.23762,
        1.31673,
        1.32028,
        1.26361,
        1.21649,
        1.18875,
        1.30384,
        1.24345,
        1.17251,
        1.19528,
        1.25694,
        1.29584,
        1.34691,
        1.26579,
        1.28249,
        1.24726,
        1.25455,
        1.32136,
        1.39027,
        1.36879,
        1.3543,
        1.43819,
        1.54418,
        1.58895,
        1.54173,
        1.54734,
        1.55804,
        1.5988,
        1.58671,
        1.38602,
        1.3851,
        1.28204,
        1.34099,
        1.41575,
        1.33569,
        1.34071,
        1.42794,
        1.36765,
        1.28134,
        0.987856,
        1.11595,
        1.4708,
        1.30918,
        1.47854,
        1.84599,
        1.40145,
        1.29592,
        1.48922,
        1.32365,
        1.31642,
        1.42126,
        1.35066,
        1.30854,
        1.42725,
        1.30181,
        1.26633,
        1.32539,
        1.27121,
        1.19711,
        1.19954,
        1.19339,
        1.19983,
        1.23527,
        1.22088,
        1.275,
        1.25234,
        1.27398,
        1.25839,
        null,
        1.17499,
        1.20658,
        1.44323,
        1.33129,
        1.29291,
        1.22472,
        1.23674,
        1.27157,
        1.30227,
        1.25332,
        1.34101,
        1.22747,
        1.31932,
        1.35477,
        1.36556,
        1.28075,
        1.32351,
        1.25377,
        1.2375,
        1.28267,
        1.29152,
        1.2513,
        1.2869,
        1.24013,
        1.26199,
        1.29285,
        1.20821,
        1.18987,
        1.15385,
        1.24542,
        1.26594,
        1.28876,
        1.16196,
        1.1456,
        1.27878,
        1.22695,
        1.2547,
        1.1901,
        1.29118,
        1.29346,
        1.18676,
        1.19813,
        1.19248,
        1.43829,
        1.27982,
        1.17272,
        1.26341,
        1.20561,
        1.16102,
        1.16378,
        1.21063,
        1.17321,
        1.19463,
        1.31287,
        1.18062,
        1.28561,
        1.28921,
        1.14888,
        1.2275,
        1.22223,
        1.20854,
        1.26801,
        1.16733,
        1.25158,
        1.20917,
        1.36022,
        1.34031,
        1.2235,
        1.24624,
        1.16095,
        1.2256,
        1.24221,
        1.27597,
        1.22495,
        1.27303,
        1.34666,
        1.11886,
        1.25805,
        1.22142,
        1.27418,
        1.38478,
        1.51622,
        1.52377,
        1.29871,
        1.36745,
        1.42043,
        1.30459,
        1.25581,
        1.80925,
        1.3882,
        1.39909,
        1.62298,
        1.36628,
        1.17465,
        1.29885,
        1.37045,
        1.25187,
        1.56276,
        1.42805,
        1.23655,
        1.24381,
        1.26415,
        1.33112,
        1.28811,
        1.28901,
        1.22921,
        1.2159,
        1.25275,
        1.33813,
        1.28056,
        1.26091,
        1.15703,
        1.22029,
        1.26397,
        1.23801,
        1.22641,
        1.22809,
        1.23999,
        1.36196,
        1.28013,
        1.22936,
        1.24687,
        1.29415,
        1.33009,
        1.30421,
        1.15993,
        1.27214,
        1.23242,
        1.29966,
        1.22517,
        1.18045,
        1.25855,
        1.22977,
        1.27111,
        1.27204,
        1.2151,
        1.2528,
        1.23112,
        1.20787,
        1.29323,
        1.08494,
        1.20775,
        1.20311,
        1.21346,
        1.2452,
        1.27153,
        1.3108,
        1.2823,
        1.24097,
        1.28686,
        1.30564,
        1.14392,
        1.24017,
        1.25497,
        1.29765,
        1.16749,
        1.17172,
        1.28888,
        1.27504,
        1.26059,
        1.22299,
        1.20618,
        1.20191,
        1.2346,
        1.20298,
        1.1923,
        1.12732,
        1.2107,
        1.26858,
        1.36754,
        1.22713,
        1.25303,
        1.25843,
        1.27899,
        1.24574,
        1.17183,
        1.13767,
        1.34428,
        1.33537,
        1.33874,
        1.30192,
        1.22593,
        1.17488,
        1.18627,
        1.20577,
        1.07398,
        1.45653,
        1.25548,
        1.31512,
        1.34077,
        1.39123,
        1.4052,
        1.28316,
        1.19318,
        1.19394,
        1.1544,
        1.29377,
        1.24734,
        1.25922,
        1.22245,
        1.21342,
        1.23088,
        1.53952,
        1.63231,
        1.71691,
        1.59099,
        1.43817,
        1.39009,
        1.28776,
        1.31653,
        1.28526,
        1.30304,
        1.16377,
        1.27311,
        1.31119,
        1.25451,
        1.2695,
        1.34302,
        1.609,
        1.55422,
        1.46906,
        1.44956,
        1.45228,
        1.40057,
        1.45395,
        1.24241,
        1.31289,
        1.32933,
        1.23504,
        1.24658,
        1.31353,
        1.20388,
        1.20452,
        1.2492,
        1.26713,
        1.39464,
        1.263,
        1.24587,
        1.29522,
        1.19772,
        1.23448,
        1.19968,
        1.25519,
        1.24647,
        1.30863,
        1.23797,
        1.22236,
        1.2848,
        1.2331,
        1.18844,
        1.26654,
        1.24782,
        1.2037,
        1.25385,
        1.22658,
        1.3172,
        1.21565,
        1.19616,
        1.32173,
        1.27531,
        1.24948,
        1.30146,
        1.21849,
        1.20402,
        1.32306,
        1.37912,
        1.44231,
        1.35984,
        1.3664,
        1.28789,
        1.2496,
        1.29901,
        1.31687,
        1.33677,
        1.23115,
        1.24097,
        1.29016,
        1.32609,
        1.24994,
        1.29681,
        1.31668,
        1.25541,
        1.25496,
        1.27739,
        1.2434,
        1.23173,
        1.33584,
        1.2809,
        1.24315,
        1.24553,
        1.26143,
        1.22969,
        1.2982,
        1.24806,
        1.23829,
        1.19518,
        1.30603,
        1.32831,
        1.31837,
        1.28245,
        1.28535,
        1.27909,
        1.24357,
        1.23482,
        1.29042,
        1.23035,
        1.22019,
        1.14482,
        1.18955,
        1.16028,
        1.31075,
        1.27112,
        1.27713,
        1.26407,
        1.21136,
        1.18718,
        1.27845,
        1.21658,
        1.26841,
        1.32802,
        1.27383,
        1.25338,
        1.2503,
        1.19876,
        1.23473,
        1.26585,
        1.21838,
        1.24374,
        1.33659,
        1.35343,
        1.20312,
        1.30863,
        1.37639,
        1.33974,
        1.2925,
        1.26171,
        1.19555,
        1.22669,
        1.27125,
        1.29683,
        1.264,
        1.31796,
        1.23014,
        1.25721,
        1.24983,
        1.2568,
        1.27742,
        1.2227,
        1.18448,
        1.16144,
        1.28367,
        1.31684,
        1.25526,
        1.23169,
        1.25088,
        1.19693,
        1.27749,
        1.22262,
        1.24323,
        1.19225,
        1.30697,
        1.27115,
        1.2734,
        1.20441,
        1.22247,
        1.23582,
        1.2745,
        1.3435,
        1.31833,
        1.29064,
        1.39159,
        1.26157,
        1.33587,
        1.29496,
        1.27637,
        1.32841,
        1.27693,
        1.22995,
        1.32192,
        1.32688,
        1.2496,
        1.27999,
        1.35751,
        1.35205,
        1.52753,
        1.29018,
        1.30265,
        1.23669,
        1.20626,
        1.42109,
        1.39779,
        1.07165,
        1.35121,
        1.43794,
        1.24149,
        1.24661,
        1.25713,
        1.33057,
        1.30664,
        1.48225,
        1.39886,
        1.36488,
        1.19954,
        1.12992,
        1.30096,
        1.25358,
        1.2025,
        1.17,
        1.38973,
        1.32092,
        1.32621,
        1.43084,
        1.3482,
        1.28169,
        1.22711,
        1.29703,
        1.25443,
        1.27089,
        1.26423,
        1.28863,
        1.24597,
        1.32776,
        1.26461,
        1.23846,
        1.21297,
        1.36522,
        1.14977,
        1.25266,
        1.17368,
        1.49149,
        1.33109,
        1.38421,
        1.3086,
        1.28914,
        1.2643,
        1.30923,
        1.31847,
        1.24656,
        1.28738,
        1.28724,
        1.27136,
        1.27609,
        1.25102,
        1.30673,
        1.30525,
        1.23256,
        1.20778,
        1.26643,
        1.21716,
        1.23222,
        1.28916,
        1.24307,
        1.28328,
        1.27729,
        1.28184,
        1.25082,
        1.21798,
        1.27238,
        1.22797,
        1.30296,
        1.27362,
        1.26813,
        1.23736,
        1.25562,
        1.22888,
        1.26626,
        1.19261,
        1.18621,
        1.15752,
        1.26813,
        1.257,
        1.28565,
        1.28525,
        1.27103,
        1.22197,
        1.25665,
        1.25796,
        1.39167,
        1.41779,
        1.31581,
        1.31964,
        1.26486,
        1.35832,
        1.23614,
        1.24935,
        1.24354,
        1.24015,
        1.265,
        1.27236,
        1.22511,
        1.25486,
        1.23411,
        1.25269,
        1.24991,
        1.318,
        1.2713,
        1.25271,
        1.21139,
        1.30238,
        1.32045,
        1.24929,
        1.25763,
        1.24883,
        1.27895,
        1.2513,
        1.27185,
        1.26411,
        1.25581,
        1.27536,
        1.23676,
        1.30379,
        1.26065,
        1.2914,
        1.33535,
        1.28083,
        1.26957,
        1.2153,
        1.20071,
        1.16972,
        1.21217,
        1.28737,
        1.35223,
        1.28481,
        1.31665,
        1.28887,
        1.26982,
        1.24189,
        1.28114,
        1.25467,
        1.2565,
        1.25957,
        1.28296,
        1.21139,
        1.25484,
        1.24004,
        1.31413,
        1.24151,
        1.22395,
        1.28776,
        1.30819,
        1.26257,
        1.25569,
        1.34464,
        1.34115,
        1.39873,
        1.34344,
        1.31921,
        1.21366,
        1.25761,
        1.26516,
        1.41921,
        1.42889,
        1.29103,
        1.30261,
        1.28458,
        1.26866,
        1.24166,
        1.2205,
        1.23825,
        1.3072,
        1.24179,
        1.25956,
        1.19956,
        1.26565,
        1.25245,
        1.3254,
        1.27065,
        1.30855,
        1.282,
        1.22591,
        1.20236,
        1.28242,
        1.26236,
        1.2966,
        1.26332,
        1.2504,
        1.24054,
        1.24061,
        1.21517,
        1.2034,
        1.31116,
        1.31135,
        1.27963,
        1.32051,
        1.39209,
        1.25617,
        1.34176,
        1.29058,
        1.28966,
        1.29306,
        1.25313,
        1.2399,
        1.26506,
        1.28397,
        1.29644,
        1.27651,
        1.24114,
        1.24182,
        1.22544,
        1.2554,
        1.21956,
        1.22004,
        1.24689,
        1.25593,
        1.22783,
        1.26686,
        1.1485,
        1.25631,
        1.28232,
        1.24399,
        1.19062,
        1.31313,
        1.43305,
        1.35308,
        1.23527,
        1.21782,
        1.23529,
        1.30185,
        1.25576,
        1.3314,
        1.25666,
        1.20716,
        1.25808,
        1.30958,
        1.36847,
        1.282,
        1.28845,
        1.27908,
        1.36367,
        1.30528,
        1.31256,
        1.306,
        1.29072,
        1.41361,
        1.53495,
        1.46994,
        1.58702,
        1.52543,
        1.42148,
        1.38864,
        1.30572,
        1.29573,
        1.26326,
        1.28163,
        1.26929,
        1.37327,
        1.24987,
        1.25594,
        1.28074,
        1.22853,
        1.49465,
        1.29505,
        1.39379,
        1.71638,
        1.37467,
        1.49933,
        1.51361,
        1.4411,
        1.37386,
        1.32263,
        1.31109,
        1.37177,
        1.39589,
        1.31468,
        1.25024,
        1.29936,
        1.27143,
        1.19722,
        1.32471,
        1.2864,
        1.31322,
        1.25019,
        1.22341,
        1.29594,
        1.33773,
        1.29194,
        1.28069,
        1.2583,
        1.25623,
        1.31567,
        1.36201,
        1.33674,
        1.28005,
        1.32109,
        1.34103,
        1.36313,
        1.27724,
        1.16439,
        1.28194,
        1.3294,
        1.16678,
        1.32143,
        1.30403,
        1.27022,
        1.24357,
        1.26147,
        1.21921,
        1.27672,
        1.35717,
        1.1676,
        1.1405,
        1.25012,
        1.35873,
        1.31702,
        1.22627,
        1.25901,
        1.26082,
        1.30819,
        1.2423,
        1.26952,
        1.1853,
        1.22524,
        1.29364,
        1.25969,
        1.25327,
        1.29261,
        1.33308,
        1.3275,
        1.30088,
        1.25442,
        1.26386,
        1.24854,
        1.29936,
        1.28975,
        1.33734,
        1.2539,
        1.32127,
        1.31849,
        1.28748,
        1.22412,
        1.21817,
        1.15931,
        1.33921,
        1.53463,
        1.36313,
        1.30595,
        1.24302,
        1.38752,
        1.39971,
        1.50453,
        1.50768,
        1.34695,
        1.27059,
        1.26197,
        1.34289,
        1.26421,
        1.25222,
        1.31444,
        1.29862,
        1.32158,
        1.38848,
        1.23925,
        1.38191,
        1.37114,
        1.34634,
        1.35368,
        1.30206,
        1.26743,
        1.28674,
        1.32879,
        1.26343,
        1.18161,
        1.18594,
        1.28817,
        1.33254,
        1.29112,
        1.32375,
        1.20886,
        1.51103,
        1.48939,
        1.43151,
        1.41494,
        1.38038,
        1.25871,
        1.38237,
        1.37272,
        1.37532,
        1.39198,
        1.22561,
        1.23751,
        1.33948,
        1.54925,
        1.48217,
        1.44173,
        1.37649,
        1.30321,
        1.57031,
        1.56761,
        1.66944,
        1.75941,
        1.76603,
        1.45416,
        1.56011,
        1.95637,
        1.49009,
        1.5087,
        1.42695,
        1.41479,
        1.46562,
        1.43856,
        1.32846,
        1.33958,
        1.37316,
        1.27535,
        1.38658,
        1.36281,
        1.39156,
        1.34051,
        1.33371,
        1.27398,
        1.18722,
        1.16203,
        1.20047,
        1.27808,
        1.38338,
        1.33859,
        1.28862,
        1.27882,
        1.3065,
        1.24871,
        1.32482,
        1.29735,
        1.25612,
        1.2275,
        1.20864,
        1.25927,
        1.25581,
        1.26137,
        1.26269,
        1.26382,
        1.2459,
        1.28438,
        1.26699,
        1.29248,
        1.27613,
        1.23405,
        1.39442,
        1.31423,
        1.31693,
        1.27027,
        1.40627,
        1.48047,
        1.34355,
        1.27172,
        1.26955,
        1.30193,
        1.26805,
        1.23119,
        1.20549,
        1.27234,
        1.24865,
        1.19965,
        1.18502,
        1.22355,
        1.28185,
        1.29025,
        1.18286,
        1.27756,
        1.28787,
        1.2249,
        1.20954,
        1.32696,
        1.33525,
        1.31158,
        1.27398,
        1.32491,
        1.30126,
        1.35203,
        1.30152,
        1.36315,
        1.32466,
        1.26379,
        1.29554,
        1.31007,
        1.26522,
        1.30835,
        1.33569,
        1.31398,
        1.37299,
        1.30677,
        1.27675,
        1.28659,
        1.23314,
        1.28516,
        1.27568,
        1.26334,
        1.22973,
        1.22682,
        1.2366,
        1.29157,
        1.3323,
        1.28161,
        1.24691,
        1.28107,
        1.2464,
        1.30307,
        1.28832,
        1.25874,
        1.26341,
        1.35658,
        1.35121,
        1.25357,
        1.29013,
        1.28463,
        1.27213,
        1.30997,
        1.23554,
        1.29826,
        1.29705,
        1.26682,
        1.29678,
        1.31126,
        1.19699,
        1.29905,
        1.25195,
        1.20047,
        1.1845,
        1.13964,
        1.19283,
        1.23401,
        1.26733,
        1.26471,
        1.34228,
        1.25242,
        1.27998,
        1.26771,
        1.26318,
        1.287,
        1.30197,
        1.27456,
        1.24492,
        1.25928,
        1.27117,
        1.26814,
        1.28914,
        1.24665,
        1.21556,
        1.28519,
        1.32703,
        1.28721,
        1.27362,
        1.30739,
        1.28732,
        1.23026,
        1.27251,
        1.25665,
        1.25385,
        1.23195,
        1.27908,
        1.24171,
        1.20874,
        1.20469,
        1.27873,
        1.31189,
        1.333,
        1.29932,
        1.19711,
        1.20115,
        1.25852,
        1.40344,
        1.31831,
        1.31657,
        1.27848,
        1.29372,
        1.31362,
        1.30984,
        1.29862,
        1.26226,
        1.26045,
        1.25461,
        1.20612,
        1.16527,
        1.3603,
        1.36058,
        1.33268,
        1.30449,
        1.38064,
        1.32982,
        1.25271,
        1.21873,
        1.22153,
        1.2789,
        1.29456,
        1.26666,
        1.31078,
        1.3306,
        1.34621,
        1.3277,
        1.31865,
        1.19568,
        1.3328,
        1.43061,
        1.34276,
        1.33096,
        1.37755,
        1.2758,
        1.24892,
        1.26572,
        1.3176,
        1.29497,
        1.32552,
        1.32721,
        1.36055,
        1.25793,
        1.27413,
        1.24544,
        1.31518,
        1.3072,
        1.24653,
        1.21278,
        1.24306,
        1.24803,
        1.2988,
        1.2319,
        1.28052,
        1.23598,
        1.24584,
        1.21445,
        1.25331,
        1.26817,
        1.2371,
        1.25098,
        1.21568,
        1.22506,
        1.24121,
        1.23849,
        1.22229,
        1.27779,
        1.21315,
        1.20209,
        1.17152,
        1.20863,
        1.30611,
        1.31344,
        1.23498,
        1.24062,
        1.23051,
        1.27415,
        1.27089,
        1.26968,
        1.28143,
        1.23049,
        1.25925,
        1.28034,
        1.2657,
        1.31032,
        1.25071,
        1.23733,
        1.25655,
        1.27064,
        1.28798,
        1.34043,
        1.28113,
        1.2813,
        1.27209,
        1.28627,
        1.22386,
        1.25544,
        1.28005,
        1.34598,
        1.24903,
        1.22665,
        1.28899,
        1.21317,
        1.35096,
        1.25765,
        1.2558,
        1.32774,
        1.32173,
        1.28501,
        1.26628,
        1.26997,
        1.29557,
        1.2589,
        1.24953,
        1.31999,
        1.44913,
        1.46433,
        1.65136,
        1.6151,
        1.62637,
        1.67582,
        1.60242,
        1.51676,
        1.31364,
        1.43113,
        1.3955,
        1.37736,
        1.2354,
        1.3592,
        1.25861,
        1.25562,
        1.06115,
        1.43795,
        1.38493,
        1.48125,
        1.60188,
        1.67149,
        1.61994,
        1.52733,
        1.79942,
        1.76396,
        1.43096,
        1.4797,
        1.41815,
        1.49283,
        1.48589,
        1.29027,
        1.36168,
        1.29613,
        1.32423,
        1.44156,
        1.44156,
        1.42717,
        1.29673,
        1.38075,
        1.35579,
        1.4064,
        1.44993,
        1.43115,
        1.48428,
        1.48809,
        1.41095,
        1.38437,
        1.31678,
        1.35404,
        1.43658,
        1.43194,
        1.70143,
        1.49011,
        1.42683,
        1.30164,
        1.44622,
        1.29118,
        1.75909,
        1.67762,
        2.02608,
        2.22449,
        1.8172,
        1.27312,
        1.28983,
        1.21874,
        1.59857,
        1.72336,
        1.52148,
        1.39682,
        1.41625,
        1.69038,
        1.54059,
        1.29041,
        1.35519,
        1.39838,
        1.25363,
        1.7355,
        1.80453,
        1.5796,
        1.61762,
        1.56031,
        1.73845,
        1.46981,
        1.28669,
        1.33449,
        1.56963,
        1.65164,
        1.52289,
        1.47127,
        1.50975,
        1.4378,
        1.35458,
        1.43466,
        1.3716,
        1.32901,
        1.30236,
        1.32056,
        1.26657,
        1.32098,
        1.35666,
        1.29056,
        1.32,
        1.2899,
        1.27561,
        1.29797,
        1.2801,
        1.33154,
        1.34645,
        1.34173,
        1.37981,
        1.33448,
        1.19787,
        1.35251,
        1.38737,
        1.39437,
        1.35392,
        1.39579,
        1.35559,
        1.39147,
        1.36613,
        1.33847,
        1.32897,
        1.32551,
        1.32371,
        1.3064,
        1.26133,
        1.33252,
        1.3393,
        1.30293,
        1.25946,
        1.25305,
        1.29409,
        1.24907,
        1.25431,
        1.36137,
        1.28255,
        1.25615,
        1.26214,
        1.32959,
        1.28087,
        1.29602,
        1.28401,
        1.30093,
        1.28811,
        1.25014,
        1.3029,
        1.28923,
        1.2814,
        1.30417,
        1.24212,
        1.22793,
        1.28765,
        1.26196,
        1.29246,
        1.30686,
        1.3219,
        1.2836,
        1.32906,
        1.33351,
        1.39406,
        1.28753,
        1.31966,
        1.36094,
        1.32156,
        1.32743,
        1.3037,
        1.34626,
        1.2908,
        1.2698,
        1.32462,
        1.33203,
        1.42594,
        1.38884,
        1.3473,
        1.43744,
        1.37542,
        1.31286,
        1.32632,
        1.29981,
        1.28885,
        1.29023,
        1.32292,
        1.31452,
        1.25533,
        1.19667,
        1.28511,
        1.26602,
        1.28246,
        1.31928,
        1.30158,
        1.25129,
        1.27338,
        1.30201,
        1.2087,
        1.44113,
        1.47727,
        1.29401,
        1.43943,
        1.31933,
        1.38173,
        1.3384,
        1.35535,
        1.35597,
        1.4801,
        1.45228,
        1.65772,
        1.71251,
        1.5161,
        1.33967,
        1.37737,
        1.39542,
        1.30576,
        1.3388,
        1.32878,
        1.25461,
        1.35501,
        1.35068,
        1.32647,
        1.36581,
        1.26187,
        1.29315,
        1.33379,
        1.25179,
        1.44152,
        1.28049,
        1.23379,
        1.32894,
        1.37678,
        1.32731,
        1.33746,
        1.34672,
        1.33781,
        1.29427,
        1.35212,
        1.30428,
        1.27823,
        1.26439,
        1.35801,
        1.30127,
        1.28718,
        1.30625,
        1.29281,
        1.30852,
        1.33053,
        1.27151,
        1.30337,
        1.27008,
        1.3601,
        1.33863,
        1.29847,
        1.34373,
        1.27719,
        1.26907,
        1.36576,
        1.37828,
        1.28112,
        1.25479,
        1.21933,
        1.29392,
        1.29645,
        1.24759,
        1.22451,
        1.23401,
        1.24027,
        1.26191,
        1.26149,
        1.24563,
        1.30942,
        1.29424,
        1.2396,
        1.24984,
        1.24663,
        1.311,
        1.288,
        1.35756,
        1.29411,
        1.25744,
        1.25882,
        1.2765,
        1.31676,
        1.32258,
        1.2612,
        1.2717,
        1.29475,
        1.32154,
        1.27834,
        1.30548,
        1.31002,
        1.34655,
        1.34997,
        1.27086,
        1.35301,
        1.25003,
        1.20861,
        1.33958,
        1.37884,
        1.32152,
        1.38521,
        1.32537,
        1.36335,
        1.25828,
        1.26405,
        1.23634,
        1.31183,
        1.28236,
        1.19953,
        1.31589,
        1.28732,
        1.3584,
        1.36323,
        1.32012,
        1.31141,
        1.31672,
        1.28859,
        1.28572,
        1.28716,
        1.28996,
        1.30539,
        1.38965,
        1.31997,
        1.43261,
        1.42126,
        1.29832,
        1.36356,
        1.37742,
        1.36041,
        1.29277,
        1.41876,
        1.28535,
        1.37307,
        1.49863,
        1.32049,
        1.563,
        1.49607,
        1.63547,
        1.3363,
        1.57837,
        1.67433,
        1.39815,
        1.27178,
        1.54005,
        1.43384,
        1.40316,
        1.33892,
        1.45353,
        1.36466,
        1.44965,
        1.4401,
        1.3608,
        1.34545,
        1.31727,
        1.37987,
        1.38192,
        1.3194,
        1.29348,
        1.2599,
        1.37336,
        1.27767,
        1.40884,
        1.51721,
        1.36388,
        1.37604,
        1.2942,
        1.37211,
        1.32098,
        1.45835,
        1.2621,
        1.29318,
        1.55498,
        1.27347,
        1.61448,
        1.38443,
        1.29181,
        1.29,
        1.32637,
        1.31648,
        1.28,
        1.3912,
        1.47166,
        1.24166,
        1.27002,
        1.26136,
        1.28386,
        1.35158,
        1.38087,
        1.31025,
        1.34689,
        1.34937,
        1.26589,
        1.31587,
        1.26375,
        1.28512,
        1.31645,
        1.3016,
        1.25897,
        1.31935,
        1.3266,
        1.33297,
        1.32535,
        1.268,
        1.3261,
        1.32435,
        1.24955,
        1.30612,
        1.24599,
        1.32707,
        1.31004,
        1.26988,
        1.28889,
        1.29798,
        1.30664,
        1.32284,
        1.30936,
        1.28328,
        1.24853,
        1.30817,
        1.24511,
        1.28797,
        1.30432,
        1.39455,
        1.32035,
        1.37858,
        1.44771,
        1.44819,
        1.52899,
        1.56913,
        1.52289,
        1.49037,
        1.46022,
        1.40226,
        1.33753,
        1.30775,
        1.27485,
        1.31287,
        1.28902,
        1.39669,
        1.29636,
        1.28054,
        1.29468,
        1.29171,
        1.26967,
        1.32805,
        1.42675,
        1.6107,
        1.49508,
        1.2489,
        1.37208,
        1.70874,
        1.272,
        1.30574,
        1.42081,
        1.39394,
        1.36045,
        1.29117,
        1.3702,
        1.33244,
        1.3742,
        1.3525,
        1.3576,
        1.34865,
        1.32322,
        1.26681,
        1.2651,
        1.3058,
        1.37167,
        1.37348,
        1.2574,
        1.29567,
        1.34248,
        1.31388,
        1.33389,
        1.27211,
        1.30296,
        1.35559,
        1.27553,
        1.36225,
        1.42281,
        1.33134,
        1.43062,
        1.34059,
        1.34015,
        1.37289,
        1.27046,
        1.27183,
        1.25656,
        1.28687,
        1.2669,
        1.30082,
        1.32114,
        1.30906,
        1.25482,
        1.35914,
        1.2867,
        1.24537,
        1.21359,
        1.25196,
        1.25169,
        1.22397,
        1.24631,
        1.25028,
        1.21976,
        1.38324,
        1.39105,
        1.32347,
        1.26338,
        1.22196,
        1.20937,
        1.246,
        1.30059,
        1.28494,
        1.2488,
        1.23786,
        1.34683,
        1.28487,
        1.26209,
        1.25923,
        1.24683,
        1.30847,
        1.29433,
        1.33258,
        1.33165,
        1.26227,
        1.31515,
        1.27408,
        1.31453,
        1.4057,
        1.31514,
        1.26429,
        1.19137,
        1.30806,
        1.39953,
        1.35616,
        1.28747,
        1.39574,
        1.34441,
        1.34088,
        1.30937,
        1.18338,
        1.64132,
        1.29745,
        1.60654,
        1.54404,
        1.1024,
        1.38597,
        1.27699,
        1.3675,
        1.32994,
        1.40362,
        1.34891,
        1.41689,
        1.28769,
        1.28244,
        1.33393,
        1.24947,
        1.25354,
        1.22829,
        1.18828,
        1.20019,
        1.22561,
        1.34172,
        1.25779,
        1.25994,
        1.27797,
        1.30725,
        1.2447,
        1.28759,
        1.28886,
        1.35263,
        1.30918,
        1.33158,
        1.38487,
        1.35614,
        1.29064,
        1.32517,
        1.29845,
        1.25209,
        1.28458,
        1.30954,
        1.26867,
        1.27654,
        1.25708,
        1.30439,
        1.27299,
        1.27148,
        1.31614,
        1.26803,
        1.24444,
        1.21145,
        1.2193,
        1.28426,
        1.33795,
        1.37701,
        1.26997,
        1.30967,
        1.34816,
        1.38888,
        1.35499,
        1.26692,
        1.22825,
        1.28282,
        1.27567,
        1.26817,
        1.15484,
        1.28405,
        1.36208,
        1.24713,
        1.32291,
        1.28203,
        1.29844,
        1.26602,
        1.28199,
        1.37408,
        1.30722,
        1.32376,
        1.32331,
        1.27487,
        1.23691,
        1.22332,
        1.29617,
        1.23344,
        1.24,
        1.29308,
        1.30392,
        1.27409,
        1.30131,
        1.2437,
        1.25955,
        1.27104,
        1.31807,
        1.21508,
        1.25438,
        1.29278,
        1.29072,
        1.24825,
        1.22879,
        1.24085,
        1.21699,
        1.31903,
        1.27762,
        1.15885,
        1.27533,
        1.33852,
        1.29327,
        1.23631,
        1.26773,
        1.25183,
        1.34715,
        1.23847,
        1.2454,
        1.28584,
        1.30255,
        1.33115,
        1.30876,
        1.30088,
        1.277,
        1.28691,
        1.28808,
        1.29101,
        1.28465,
        1.29369,
        1.30561,
        1.2143,
        1.2711,
        1.28165,
        1.25099,
        1.26609,
        1.25134,
        1.27209,
        1.31252,
        1.31244,
        1.30649,
        1.28696,
        1.27863,
        1.24088,
        1.2783,
        1.23522,
        1.27549,
        1.24411,
        1.26161,
        1.23354,
        1.23433,
        1.22066,
        1.27234,
        1.27226,
        1.27056,
        1.25171,
        1.29865,
        1.33049,
        1.34815,
        1.27068,
        1.20557,
        1.26808,
        1.26154,
        1.24858,
        1.25156,
        1.20143,
        1.2595,
        1.2656,
        1.34685,
        1.30316,
        1.34588,
        1.24404,
        1.26257,
        1.34204,
        1.2897,
        1.29559,
        1.32627,
        1.39943,
        1.38762,
        1.30613,
        1.4377,
        1.3496,
        1.45274,
        1.38614,
        1.3537,
        1.55737,
        1.3658,
        1.29228,
        1.50591,
        1.52655,
        1.23734,
        1.54085,
        1.42887,
        1.48524,
        1.45704,
        1.39232,
        1.12472,
        1.27625,
        1.2869,
        1.24558,
        1.27303,
        1.32458,
        null,
        1.4453,
        1.30932,
        1.29992,
        1.44226,
        1.45568,
        1.3499,
        1.22898,
        1.28728,
        1.37356,
        1.41416,
        1.42931,
        1.40209,
        1.26118,
        1.33699,
        1.3693,
        1.24768,
        1.25814,
        1.33679,
        1.23759,
        1.21997,
        1.33455,
        1.2564,
        1.25365,
        1.30793,
        1.25807,
        1.29489,
        1.24795,
        1.22387,
        1.19949,
        1.24185,
        1.33342,
        1.34146,
        1.29982,
        1.40731,
        1.44964,
        1.45473,
        1.30569,
        1.30275,
        1.27875,
        1.25603,
        1.27279,
        1.35231,
        1.42574,
        1.36231,
        1.31003,
        1.36132,
        1.29361,
        1.27113,
        1.32088,
        1.27519,
        1.26784,
        1.2556,
        1.30846,
        1.2715,
        1.21757,
        1.25396,
        1.39395,
        1.38578,
        1.33583,
        1.35753,
        1.30088,
        1.22773,
        1.20187,
        1.19113,
        1.19969,
        1.22004,
        1.24089,
        1.29017,
        1.2581,
        1.28063,
        1.1502,
        1.14643,
        1.22382,
        1.23308,
        1.28223,
        1.27603,
        1.36998,
        1.39331,
        1.19287,
        1.24699,
        1.23088,
        1.35697,
        1.28957,
        1.11897,
        1.19962,
        1.3963,
        1.29608,
        1.27203,
        1.33985,
        1.22566,
        1.22726,
        1.1668,
        1.27643,
        1.30293,
        1.22491,
        1.29925,
        1.45516,
        1.52253,
        1.40666,
        1.31664,
        1.35358,
        1.39488,
        1.35944,
        1.16461,
        1.65631,
        1.59469,
        1.27789,
        1.42593,
        1.43981,
        1.35626,
        1.32854,
        1.365,
        1.2389,
        1.28924,
        1.09099,
        1.27696,
        1.27176,
        1.38543,
        1.23791,
        1.35328,
        1.37902,
        1.36148,
        1.126,
        1.22881,
        1.3575,
        1.3681,
        1.26459,
        1.27088,
        1.29302,
        1.34526,
        1.30679,
        1.28511,
        1.21432,
        1.27567,
        1.17292,
        1.29002,
        1.25934,
        1.31712,
        1.29652,
        1.26315,
        1.30301,
        1.22925,
        1.27306,
        1.19583,
        1.28555,
        1.21674,
        1.29587,
        1.31528,
        1.26095,
        1.08857,
        1.18817,
        1.27132,
        1.36144,
        1.24853,
        1.31453,
        1.46055,
        1.33966,
        1.31861,
        1.225,
        1.21798,
        1.24613,
        1.23674,
        1.13586,
        1.15439,
        1.23231,
        1.35178,
        1.34209,
        1.30321,
        1.26856,
        1.23261,
        1.27431,
        1.27025,
        1.15522,
        1.15921,
        1.25173,
        1.11479,
        1.14465,
        1.19162,
        1.25739,
        1.25817,
        1.40694,
        1.26531,
        1.32945,
        1.26674,
        1.22112,
        1.25839,
        1.27873,
        1.24403,
        1.26649,
        1.16409,
        1.28373,
        1.36003,
        1.23964,
        1.25402,
        1.28942,
        1.29016,
        1.29381,
        1.34821,
        1.25682,
        1.2125,
        1.29774,
        1.25379,
        1.29861,
        1.21485,
        1.3951,
        1.34765,
        1.28512,
        1.33,
        1.32185,
        1.22234,
        1.38949,
        1.3203,
        1.32164,
        1.25706,
        1.30629,
        1.33599,
        1.35528,
        1.28064,
        1.26914,
        1.30856,
        1.22376,
        1.29301,
        1.34683,
        1.33919,
        1.29011,
        1.29041,
        1.26723,
        1.29305,
        1.27168,
        1.4472,
        1.26918,
        1.23248,
        1.45692,
        1.40038,
        1.36065,
        1.43088,
        1.31298,
        1.40143,
        1.3377,
        1.27984,
        1.2056,
        1.23235,
        1.28474,
        1.22573,
        1.33611,
        1.16904,
        1.29472,
        1.36894,
        1.40557,
        1.29028,
        1.38154,
        1.2501,
        1.06163,
        1.26952,
        1.55344,
        1.2767,
        1.25903,
        1.41364,
        1.42718,
        1.30156,
        1.23457,
        1.43625,
        1.30839,
        1.24367,
        1.53535,
        1.54443,
        1.73569,
        1.68596,
        1.6117,
        1.46276,
        1.40172,
        1.60685,
        1.57497,
        1.61941,
        1.60777,
        1.27939,
        1.38173,
        1.39161,
        1.46386,
        1.35386,
        1.19535,
        1.19236,
        1.45441,
        1.2166,
        1.18359,
        1.23106,
        1.14339,
        1.10016,
        1.15564,
        1.42831,
        1.54719,
        1.43186,
        1.93223,
        1.61689,
        1.52781,
        1.46967,
        1.27654,
        1.14799,
        1.10186,
        1.40738,
        1.36421,
        1.25105,
        1.66809,
        1.39131,
        1.31196,
        1.41804,
        1.13898,
        1.0739,
        1.2969,
        1.74437,
        1.53243,
        1.59941,
        1.59834,
        1.40442,
        1.47822,
        1.26688,
        1.16258,
        1.39317,
        1.38341,
        1.18608,
        1.43773,
        null,
        1.6339,
        1.35213,
        1.23625,
        1.18371,
        1.19701,
        1.18513,
        1.43479,
        1.29258,
        1.40473,
        1.39399,
        1.32937,
        1.34359,
        1.29815,
        1.19954,
        1.3202,
        1.25404,
        1.35626,
        1.23997,
        1.3868,
        1.31317,
        1.36958,
        1.33734,
        1.3193,
        1.22755,
        1.26829,
        1.18347,
        1.27217,
        1.30277,
        1.33352,
        1.34937,
        1.34905,
        1.33694,
        1.32865,
        1.37404,
        1.40381,
        1.33294,
        1.25148,
        1.36531,
        1.3088,
        1.28655,
        1.2339,
        1.29408,
        1.28046,
        1.25608,
        1.18745,
        1.36673,
        1.29377,
        1.29415,
        1.20007,
        1.27815,
        1.27964,
        1.31575,
        1.30621,
        1.40167,
        1.39495,
        1.4009,
        1.32001,
        1.31929,
        1.2552,
        1.32164,
        1.36855,
        1.34521,
        1.36268,
        1.31762,
        1.26173,
        1.28211,
        1.39509,
        1.21378,
        1.2526,
        1.29827,
        1.26851,
        1.27724,
        1.37122,
        1.33105,
        1.34679,
        1.40001,
        1.3173,
        1.3319,
        1.24566,
        1.23342,
        1.24998,
        1.3129,
        1.18186,
        1.31157,
        1.32173,
        1.34107,
        1.27983,
        1.39298,
        1.36082,
        1.33624,
        1.27112,
        1.32079,
        1.30598,
        1.37428,
        1.27773,
        1.25461,
        1.28775,
        1.40166,
        1.2948,
        1.27122,
        1.25384,
        1.26679,
        1.34057,
        1.3161,
        1.35288,
        1.17705,
        1.27382,
        1.32628,
        1.31762,
        1.36981,
        1.30242,
        1.27224,
        1.25613,
        1.35624,
        1.31917,
        1.24317,
        1.27922,
        1.25192,
        1.30947,
        1.24202,
        1.2925,
        1.27801,
        1.30496,
        1.33075,
        1.27762,
        1.31245,
        1.28621,
        1.34568,
        1.31814,
        1.29639,
        1.38585,
        1.30713,
        1.3438,
        1.30108,
        1.29986,
        1.26907,
        1.25856,
        1.25573,
        1.27634,
        1.32507,
        1.28735,
        1.24543,
        1.30358,
        1.2762,
        1.29313,
        1.30974,
        1.27406,
        1.26119,
        1.28221,
        1.21977,
        1.29068,
        1.3055,
        1.35231,
        1.35198,
        1.22272,
        1.27194,
        1.2587,
        1.27423,
        1.48081,
        1.54357,
        1.36513,
        1.27197,
        1.32702,
        1.19735,
        1.34217,
        1.30528,
        1.25817,
        1.27757,
        1.32768,
        1.34487,
        1.28918,
        1.19605,
        1.33437,
        1.29405,
        1.26984,
        1.26981,
        1.25482,
        1.30153,
        1.26491,
        1.28032,
        1.30003,
        1.3274,
        1.27081,
        1.30293,
        1.23137,
        1.26917,
        1.23519,
        1.27154,
        1.38526,
        1.27148,
        1.35808,
        1.3465,
        1.32383,
        1.2586,
        1.29334,
        1.30357,
        1.26036,
        1.35936,
        1.3009,
        1.22571,
        1.28237,
        1.22251,
        1.27015,
        1.28752,
        1.30132,
        1.3441,
        1.38578,
        1.32579,
        1.32388,
        1.34612,
        1.24727,
        1.30213,
        1.29949,
        1.22562,
        1.30219,
        1.33633,
        1.35301,
        1.31951,
        1.33209,
        1.16696,
        1.13631,
        1.29179,
        1.35079,
        1.21193,
        1.16946,
        1.37703,
        1.34528,
        1.22868,
        1.28609,
        1.26307,
        1.28456,
        1.32918,
        1.28246,
        1.30338,
        1.23712,
        1.29964,
        1.29887,
        1.26443,
        1.27356,
        1.23841,
        1.2786,
        1.34228,
        1.39269,
        1.28278,
        1.33579,
        1.39096,
        1.26706,
        1.32438,
        1.4221,
        1.38831,
        1.33532,
        1.27313,
        1.30026,
        1.38486,
        1.43119,
        1.48333,
        1.3865,
        1.45303,
        1.22742,
        1.16511,
        1.29749,
        1.34673,
        1.27292,
        1.45486,
        1.42368,
        1.9003,
        1.91447,
        1.57508,
        1.24601,
        1.41441,
        1.34935,
        1.4952,
        1.42797,
        1.31868,
        1.3107,
        1.21892,
        1.46472,
        1.36902,
        1.44457,
        1.35924,
        1.45108,
        1.41232,
        1.35894,
        1.43302,
        1.42914,
        1.35894,
        1.36845,
        1.36208,
        1.41581,
        1.36688,
        1.34448,
        1.33427,
        1.31029,
        1.38016,
        1.27226,
        1.43761,
        1.35832,
        1.37699,
        1.43666,
        1.37122,
        1.37265,
        1.5048,
        1.42863,
        1.50397,
        1.54508,
        1.35414,
        1.34939,
        1.4645,
        1.39522,
        1.85514,
        1.60189,
        1.51273,
        1.61493,
        1.47791,
        1.39446,
        1.29236,
        1.28084,
        1.34715,
        1.25636,
        1.25437,
        1.34895,
        1.28801,
        1.30745,
        1.36257,
        1.30029,
        1.34532,
        1.39803,
        1.42518,
        1.28322,
        1.30476,
        1.38734,
        1.41137,
        1.56106,
        1.57809,
        1.61642,
        1.59722,
        1.51348,
        1.48914,
        1.46581,
        1.41541,
        1.25737,
        1.34169,
        1.27477,
        1.24259,
        1.31316,
        1.35552,
        1.31117,
        1.2782,
        1.35215,
        1.27538,
        1.30239,
        1.38495,
        1.32983,
        1.21779,
        1.33872,
        1.3048,
        1.1772,
        1.29499,
        1.61204,
        1.77641,
        1.56964,
        1.86902,
        1.46799,
        1.54105,
        1.48126,
        1.47731,
        1.50196,
        1.47969,
        1.40312,
        1.32029,
        1.32355,
        1.38539,
        1.40418,
        1.35929,
        1.33396,
        1.25571,
        1.27561,
        1.30102,
        1.32775,
        1.285,
        1.32509,
        1.2687,
        1.27198,
        1.30947,
        1.21117,
        1.19769,
        1.27402,
        1.37327,
        1.53726,
        1.39683,
        1.3235,
        1.34856,
        1.34264,
        1.32236,
        1.32281,
        1.22938,
        1.24597,
        1.24217,
        1.30968,
        1.47147,
        1.33858,
        1.31822,
        1.27837,
        1.3314,
        1.29021,
        1.30105,
        1.29146,
        1.25347,
        1.27873,
        1.31624,
        1.36749,
        1.33598,
        1.23459,
        1.24361,
        1.30678,
        1.33089,
        1.36741,
        1.27794,
        1.36521,
        1.3264,
        1.2957,
        1.25192,
        1.29777,
        1.30174,
        1.25014,
        1.38691,
        1.35704,
        1.24364,
        1.30896,
        1.31151,
        1.29455,
        1.42943,
        1.26531,
        1.32142,
        1.1862,
        1.27431,
        1.58541,
        1.29734,
        1.11845,
        1.33083,
        1.39228,
        1.2943,
        1.27312,
        1.42999,
        1.46268,
        1.45428,
        1.45801,
        1.40163,
        1.39434,
        1.36563,
        1.32359,
        1.29819,
        1.33,
        1.25134,
        1.19857,
        1.2862,
        1.25649,
        1.27986,
        1.25021,
        1.30472,
        1.25334,
        1.26141,
        1.24361,
        1.21361,
        1.30483,
        1.28144,
        1.33735,
        1.3587,
        1.36604,
        1.44367,
        1.30438,
        1.30531,
        1.37994,
        1.36831,
        1.69038,
        1.5495,
        1.45794,
        1.39232,
        1.43952,
        1.43302,
        1.3581,
        1.31215,
        1.22442,
        1.33275,
        1.4446,
        1.38519,
        1.26324,
        1.22848,
        1.28824,
        1.3033,
        1.2998,
        1.32654,
        1.22395,
        1.27481,
        1.33094,
        1.33284,
        1.42998,
        1.31686,
        1.24621,
        1.26648,
        1.33526,
        1.28856,
        1.27729,
        1.29208,
        1.29309,
        1.22943,
        1.25237,
        1.28796,
        1.22198,
        1.23781,
        1.33385,
        1.25502,
        1.23122,
        1.29057,
        1.31448,
        1.29268,
        1.27868,
        1.25066,
        1.30693,
        1.31249,
        1.30924,
        1.31218,
        1.27547,
        1.30206,
        1.33778,
        1.36132,
        1.31346,
        1.33662,
        1.343,
        1.3524,
        1.37489,
        1.38791,
        1.3214,
        1.34929,
        1.37101,
        1.39867,
        1.41121,
        1.30649,
        1.31698,
        1.24875,
        1.27344,
        1.26178,
        1.29203,
        1.35439,
        1.32182,
        1.35551,
        1.28576,
        1.31213,
        1.2919,
        1.26455,
        1.3914,
        1.38015,
        1.32375,
        1.29985,
        1.28227,
        1.30232,
        1.3091,
        1.37606,
        1.29337,
        1.24476,
        1.32043,
        1.29022,
        1.26398,
        1.35832,
        1.29907,
        1.29548,
        1.32279,
        1.30014,
        1.25221,
        1.31012,
        1.27317,
        1.30329,
        1.30452,
        1.32024,
        1.31344,
        1.30307,
        1.29433,
        1.34263,
        1.30411,
        1.27299,
        1.26345,
        1.3485,
        1.30803,
        1.30665,
        1.3131,
        1.34967,
        1.31926,
        1.2626,
        1.33747,
        1.27609,
        1.36177,
        1.3733,
        1.38117,
        1.29095,
        1.25782,
        1.30992,
        1.33157,
        1.34288,
        1.35499,
        1.27569,
        1.32512,
        1.31406,
        1.34453,
        1.38364,
        1.28269,
        1.3186,
        1.2893,
        1.34236,
        1.32038,
        1.32677,
        1.287,
        1.31504,
        1.29653,
        1.33946,
        1.31676,
        1.3875,
        1.24636,
        1.22879,
        1.35924,
        1.40348,
        1.34126,
        1.35463,
        1.29054,
        1.27893,
        1.32557,
        1.29778,
        1.26536,
        1.30145,
        1.31569,
        1.18776,
        1.27498,
        1.35364,
        1.36127,
        1.47059,
        1.46307,
        1.45765,
        1.38612,
        1.39021,
        1.58068,
        1.45264,
        1.26268,
        1.71332,
        1.5119,
        1.64573,
        1.45868,
        1.37127,
        1.55262,
        1.46337,
        1.29284,
        1.33025,
        1.3317,
        1.3553,
        1.27858,
        1.30786,
        1.34333,
        1.3307,
        1.36629,
        1.31785,
        1.35898,
        1.34623,
        1.37412,
        1.32228,
        1.3821,
        1.34341,
        1.27015,
        1.27204,
        1.38068,
        1.34084,
        1.31457,
        1.30664,
        1.2719,
        1.30572,
        1.3353,
        1.27966,
        1.2836,
        1.24685,
        1.29533,
        1.29231,
        1.3248,
        1.34275,
        1.33005,
        1.37146,
        1.30336,
        1.31401,
        1.34222,
        1.35671,
        1.38597,
        1.44222,
        1.29962,
        1.37273,
        1.39497,
        1.28449,
        1.24939,
        1.33552,
        1.37057,
        1.34559,
        1.32787,
        1.35952,
        1.36052,
        1.30788,
        1.33529,
        1.34421,
        1.31857,
        1.36029,
        1.35622,
        1.35345,
        1.31967,
        1.46102,
        1.345,
        1.40957,
        1.32154,
        1.34821,
        1.34581,
        1.28421,
        1.31022,
        1.26159,
        1.32383,
        1.35606,
        1.38566,
        1.40677,
        1.47898,
        1.45193,
        1.4731,
        1.40243,
        1.3416,
        1.35749,
        1.31928,
        1.32356,
        1.38087,
        1.31506,
        1.26844,
        1.27192,
        1.26407,
        1.25884,
        1.26743,
        1.3115,
        1.31997,
        1.31033,
        1.29025,
        1.28529,
        1.3347,
        1.3217,
        1.4213,
        1.32594,
        1.36279,
        1.30977,
        1.3906,
        1.35412,
        1.28734,
        1.33527,
        1.33323,
        1.35928,
        1.36539,
        1.41002,
        1.25186,
        1.22808,
        1.32067,
        1.31414,
        1.26838,
        1.34528,
        1.29742,
        1.25521,
        1.31319,
        1.34421,
        1.36492,
        1.32906,
        1.35167,
        1.36808,
        1.33672,
        1.31749,
        1.30922,
        1.32674,
        1.41276,
        1.35727,
        1.35364,
        1.39127,
        1.30359,
        1.29408,
        1.29677,
        1.33602,
        1.25269,
        1.24137,
        1.37205,
        1.32006,
        1.29653,
        1.28343,
        1.30027,
        1.30755,
        1.29873,
        1.40718,
        1.40752,
        1.38703,
        1.33645,
        1.29809,
        1.46214,
        1.31243,
        1.30081,
        1.27454,
        1.3713,
        1.42587,
        1.33506,
        1.27979,
        1.18326,
        1.09654,
        1.59863,
        1.59554,
        2.09154,
        1.46455,
        1.29177,
        1.3758,
        1.42039,
        1.53132,
        1.36956,
        1.44472,
        1.41294,
        1.49631,
        1.36774,
        1.51586,
        1.41126,
        1.27022,
        1.62918,
        1.7319,
        1.37914,
        1.29375,
        1.52219,
        1.30046,
        1.25055,
        1.24572,
        1.44079,
        1.30597,
        1.36924,
        1.40898,
        1.35087,
        1.36841,
        1.29727,
        1.34666,
        1.24384,
        1.25914,
        1.3899,
        1.32997,
        1.27873,
        1.37853,
        1.40434,
        1.38778,
        1.30327,
        1.3603,
        1.40101,
        1.43172,
        1.31402,
        1.25118,
        1.33003,
        1.42358,
        1.37047,
        1.40909,
        1.37927,
        1.3331,
        1.34698,
        1.37846,
        1.23544,
        1.38842,
        1.32801,
        1.26635,
        1.34372,
        1.3476,
        1.41357,
        1.38357,
        1.31337,
        1.31552,
        1.30613,
        1.2878,
        1.29913,
        1.26601,
        1.24664,
        1.27446,
        1.2801,
        1.3598,
        1.37961,
        1.35147,
        1.33795,
        1.41532,
        1.32459,
        1.27786,
        1.30149,
        1.36523,
        1.31947,
        1.31951,
        1.28953,
        1.2641,
        1.35201,
        1.31692,
        1.31361,
        1.35685,
        1.37163,
        1.35908,
        1.35238,
        1.33231,
        1.36963,
        1.34077,
        1.41112,
        1.31012,
        1.27025,
        1.32887,
        1.29099,
        1.33416,
        1.36934,
        1.32977,
        1.36822,
        1.31857,
        1.29939,
        1.29808,
        1.33375,
        1.33338,
        1.28436,
        1.31714,
        1.31174,
        1.29691,
        1.27975,
        1.29631,
        1.2911,
        1.25032,
        1.32381,
        1.3685,
        1.32273,
        1.34634,
        1.26001,
        1.30892,
        1.31828,
        1.31513,
        1.29562,
        1.28944,
        1.27482,
        1.28659,
        1.32457,
        1.39643,
        1.30679,
        1.32641,
        1.32418,
        1.42693,
        1.37529,
        1.3141,
        1.33468,
        1.3072,
        1.25587,
        1.28156,
        1.30387,
        1.43212,
        1.31857,
        1.23499,
        1.28292,
        1.40419,
        1.44377,
        1.36538,
        1.33867,
        1.38442,
        1.3806,
        1.32323,
        1.2216,
        1.27315,
        1.31666,
        1.24855,
        1.32887,
        1.41168,
        1.47977,
        1.49242,
        1.39461,
        1.44527,
        1.46384,
        1.46341,
        1.46611,
        1.49665,
        1.32669,
        1.58888,
        1.56329,
        1.41196,
        1.43356,
        1.35522,
        1.32434,
        1.34156,
        1.32272,
        1.34247,
        1.38402,
        1.46639,
        1.4086,
        1.40117,
        1.35556,
        1.43643,
        1.35952,
        1.25765,
        1.31758,
        1.40669,
        1.2029,
        1.3047,
        1.44236,
        1.3759,
        1.32733,
        1.30862,
        1.28547,
        1.2726,
        1.29294,
        1.33238,
        1.30995,
        1.22292,
        1.38175,
        1.22072,
        1.31541,
        1.35903,
        1.36746,
        1.39584,
        1.24015,
        1.3012,
        1.25062,
        1.33591,
        1.46193,
        1.30395,
        1.25092,
        1.32339,
        1.30663,
        1.32388,
        1.34492,
        1.28031,
        1.26702,
        1.26546,
        1.29527,
        1.32139,
        1.27666,
        1.30535,
        1.35118,
        1.28603,
        1.28432,
        1.34505,
        1.31379,
        1.27022,
        1.35125,
        1.32463,
        1.30755,
        1.43761,
        1.27129,
        1.31679,
        1.32882,
        1.3051,
        1.36492,
        1.34215,
        1.33771,
        1.3282,
        1.36066,
        1.28314,
        1.29596,
        1.23412,
        1.23086,
        1.30218,
        1.35338,
        1.35003,
        1.29144,
        1.3036,
        1.23502,
        1.2261,
        1.23904,
        1.23391,
        1.31899,
        1.29375,
        1.30686,
        1.2995,
        1.326,
        1.31203,
        1.25004,
        1.28937,
        1.28388,
        1.35089,
        1.28871,
        1.37796,
        1.29905,
        1.25898,
        1.37475,
        1.26169,
        1.228,
        1.26945,
        1.31649,
        1.28779,
        1.30074,
        1.32272,
        1.31721,
        1.29498,
        1.32724,
        1.29961,
        1.38072,
        1.38255,
        1.31922,
        1.35623,
        1.3871,
        1.26857,
        1.35075,
        1.34172,
        1.32013,
        1.36486,
        1.33592,
        1.33679,
        1.26616,
        1.31049,
        1.34962,
        1.3277,
        1.3043,
        1.29208,
        1.23559,
        1.35277,
        1.29832,
        1.37351,
        1.35474,
        1.47812,
        1.41957,
        1.38756,
        1.33992,
        1.27355,
        1.34268,
        1.30698,
        1.37171,
        1.27321,
        1.27276,
        1.38244,
        1.31459,
        1.29354,
        1.2463,
        1.27908,
        1.35655,
        1.31482,
        1.45757,
        1.43175,
        1.37526,
        1.18463,
        1.47392,
        1.31513,
        1.99885,
        1.67722,
        1.81708,
        1.48824,
        1.20525,
        1.60891,
        1.59497,
        1.59232,
        1.40057,
        1.47223,
        1.63168,
        1.55515,
        1.48773,
        1.40852,
        1.53824,
        1.38209,
        1.25969,
        1.24017,
        1.27793,
        1.3077,
        1.37935,
        1.52697,
        1.37001,
        1.4847,
        1.51784,
        1.38669,
        1.28015,
        1.40325,
        1.35936,
        1.29076,
        1.27055,
        1.33271,
        1.44554,
        1.49952,
        1.49054,
        1.42071,
        1.29274,
        1.38961,
        1.30142,
        1.36852,
        1.24285,
        1.27721,
        1.48204,
        1.42618,
        1.39468,
        1.54144,
        1.56919,
        1.28459,
        1.26039,
        1.11964,
        1.0807,
        1.41527,
        1.62541,
        1.58352,
        1.45255,
        1.23195,
        1.41441,
        1.50275,
        1.50994,
        1.61578,
        1.46458,
        1.38002,
        1.61046,
        null,
        1.31734,
        1.15801,
        1.19295,
        1.3053,
        1.22998,
        1.25142,
        1.18736,
        1.2799,
        1.26494,
        1.24674,
        1.23207,
        1.31269,
        1.27258,
        1.23962,
        1.20773,
        1.34413,
        1.36027,
        1.30877,
        1.24557,
        1.18491,
        1.23518,
        1.203,
        1.24704,
        1.19517,
        1.13601,
        1.21162,
        1.24555,
        1.16454,
        1.22798,
        1.16303,
        1.25207,
        1.19149,
        1.27314,
        1.15784,
        1.21034,
        1.17622,
        1.28123,
        1.24718,
        1.18916,
        1.2621,
        1.26301,
        1.25481,
        1.14509,
        1.3378,
        1.40696,
        1.25699,
        1.26676,
        1.35318,
        1.24659,
        1.32516,
        1.24111,
        1.27442,
        1.30539,
        1.24412,
        1.34379,
        1.2378,
        1.27047,
        1.29338,
        1.3274,
        1.35596,
        1.3708,
        1.31462,
        1.2315,
        1.24266,
        1.23586,
        1.2237,
        1.28143,
        1.14128,
        1.13619,
        1.09303,
        1.26534,
        1.23097,
        1.21248,
        1.25659,
        1.21071,
        1.22389,
        1.18439,
        1.32118,
        1.35714,
        1.27226,
        1.18491,
        1.34801,
        1.19675,
        1.33437,
        1.28395,
        1.34974,
        1.22903,
        1.2832,
        1.1864,
        1.25247,
        1.24,
        1.12941,
        1.2136,
        1.32572,
        1.30536,
        1.26738,
        1.15457,
        1.17721,
        1.26382,
        1.15985,
        1.26956,
        1.35639,
        1.31324,
        1.19187,
        1.16025,
        1.26574,
        1.2393,
        1.31397,
        1.2652,
        1.13859,
        1.31127,
        1.284,
        1.24094,
        1.32151,
        1.19417,
        1.14175,
        1.13535,
        1.41827,
        1.23337,
        1.64594,
        1.24946,
        1.31333,
        1.38599,
        1.44033,
        1.2483,
        1.17367,
        1.18589,
        1.0887,
        1.32788,
        1.25379,
        1.32819,
        1.2069,
        1.18374,
        1.2669,
        1.30573,
        1.245,
        1.30237,
        1.22077,
        1.37205,
        1.26653,
        1.43008,
        1.3077,
        1.18374,
        1.43661,
        1.14758,
        1.26615,
        1.21903,
        1.26497,
        1.2491,
        1.29981,
        1.20653,
        1.19313,
        1.26699,
        1.34028,
        1.26333,
        1.22825,
        1.27345,
        1.17256,
        1.3191,
        1.35889,
        1.36051,
        1.26381,
        1.21938,
        1.40411,
        1.2224,
        1.10914,
        1.29068,
        1.29431,
        1.46778,
        1.24415,
        1.32596,
        1.53191,
        1.54002,
        1.28193,
        1.43226,
        1.61238,
        1.5759,
        1.6258,
        1.29886,
        1.5257,
        1.54292,
        1.11193,
        1.26655,
        1.28026,
        1.58715,
        1.30223,
        1.47994,
        1.31476,
        1.04918,
        1.42473,
        1.3352,
        1.15574,
        1.37066,
        1.45357,
        1.31037,
        1.3541,
        1.50156,
        1.36578,
        1.54337,
        1.38969,
        1.39254,
        1.28079,
        1.19547,
        1.42025,
        1.2844,
        1.20619,
        1.28866,
        1.35474,
        1.35242,
        1.44288,
        1.42874,
        1.32401,
        1.35151,
        1.04226,
        1.26981,
        1.32218,
        1.37296,
        1.43496,
        1.2404,
        2.05687,
        1.58039,
        1.39308,
        1.22563,
        1.36525,
        1.2928,
        1.24121,
        1.37353,
        1.20668,
        1.41081,
        1.39826,
        1.27275,
        1.22601,
        1.16306,
        1.19716,
        1.18622,
        1.26823,
        1.35865,
        1.25567,
        1.29041,
        1.29996,
        1.30127,
        1.31905,
        1.28443,
        1.29514,
        1.2696,
        1.3274,
        1.27512,
        1.2177,
        1.2088,
        1.15043,
        1.2568,
        1.31693,
        1.17952,
        1.35499,
        1.09767,
        1.2745,
        1.22567,
        1.21455,
        1.15714,
        1.21593,
        1.26096,
        1.30013,
        1.38463,
        1.21291,
        1.13934,
        1.20237,
        1.27341,
        1.21165,
        1.2812,
        1.39108,
        1.28286,
        1.21661,
        1.11574,
        1.19558,
        1.1913,
        1.26045,
        1.26264,
        1.30302,
        1.20247,
        1.22393,
        1.21971,
        1.24197,
        1.21035,
        1.22629,
        1.31338,
        1.27012,
        1.21166,
        1.22829,
        1.19428,
        1.20141,
        1.25405,
        1.26821,
        1.21929,
        1.26154,
        1.25764,
        1.27885,
        1.31922,
        1.26571,
        1.27045,
        1.19462,
        1.22297,
        1.30523,
        1.28163,
        1.25285,
        1.1994,
        1.27152,
        1.27777,
        1.29648,
        1.29786,
        1.24855,
        1.31357,
        1.29641,
        1.29088,
        1.15738,
        1.19765,
        1.16399,
        1.25904,
        1.26958,
        1.21162,
        1.16372,
        1.2563,
        1.25541,
        1.23875,
        1.29039,
        1.30374,
        1.20995,
        1.26267,
        1.25391,
        1.34218,
        1.31111,
        1.29575,
        1.2003,
        1.33539,
        1.2979,
        1.29361,
        1.22249,
        1.22637,
        1.31715,
        1.28044,
        1.29239,
        1.30335,
        1.29522,
        1.2465,
        1.24424,
        1.24932,
        1.1868,
        1.17528,
        1.19794,
        1.23576,
        1.25272,
        1.30077,
        1.32454,
        1.09752,
        1.27668,
        1.42288,
        1.33922,
        1.23257,
        1.35665,
        1.24141,
        1.37643,
        1.10958,
        1.20656,
        1.52916,
        1.12917,
        1.40956,
        1.91391,
        1.31988,
        1.45149,
        1.35951,
        1.32938,
        1.25786,
        1.42022,
        1.40348,
        1.36084,
        1.38615,
        1.29586,
        1.34804,
        1.36751,
        1.30336,
        1.23468,
        1.27677,
        1.27182,
        1.23235,
        1.19426,
        1.22499,
        1.29652,
        1.29124,
        1.23642,
        1.20713,
        1.25039,
        1.20173,
        1.26726,
        1.3264,
        1.33471,
        1.32876,
        1.36368,
        1.28228,
        1.21826,
        1.24603,
        1.31811,
        1.3684,
        1.26345,
        1.28716,
        1.19729,
        1.21067,
        1.22326,
        1.28097,
        1.3784,
        1.24182,
        1.21872,
        1.28697,
        1.1981,
        1.25768,
        1.3291,
        1.30022,
        1.26169,
        1.20658,
        1.22934,
        1.28954,
        1.26135,
        1.28166,
        1.3531,
        1.26835,
        1.3237,
        1.3005,
        1.28419,
        1.25887,
        1.24671,
        1.22035,
        1.18268,
        1.24526,
        1.25347,
        1.25784,
        1.21444,
        1.25835,
        1.35427,
        1.35305,
        1.3957,
        1.25739,
        1.20243,
        1.24983,
        1.28127,
        1.23609,
        1.25214,
        1.28691,
        1.2474,
        1.22141,
        1.2221,
        1.17868,
        1.26678,
        1.24382,
        1.22301,
        1.25597,
        1.24841,
        1.30804,
        1.28603,
        1.28226,
        1.2134,
        1.25337,
        1.32667,
        1.2946,
        1.26421,
        1.17091,
        1.22591,
        1.27712,
        1.26281,
        1.26224,
        1.30629,
        1.32882,
        1.33197,
        1.29605,
        1.29655,
        1.3174,
        1.30868,
        1.30756,
        1.27603,
        1.22758,
        1.27734,
        1.20279,
        1.21782,
        1.26857,
        1.30901,
        1.26747,
        1.30402,
        1.21525,
        1.1846,
        1.15233,
        1.15757,
        1.16878,
        1.30445,
        1.27746,
        1.2471,
        1.33098,
        1.30834,
        1.22642,
        1.22264,
        1.22978,
        1.38565,
        1.29422,
        1.31741,
        1.26502,
        1.33503,
        1.3023,
        1.25742,
        1.28028,
        1.28107,
        1.21136,
        1.31034,
        1.19556,
        1.08902,
        1.05241,
        1.20977,
        1.53999,
        1.32367,
        1.71616,
        1.39344,
        1.24698,
        1.2814,
        1.28722,
        1.42493,
        1.33264,
        1.33027,
        1.20342,
        1.25714,
        1.29039,
        1.21737,
        1.28286,
        1.28114,
        1.28355,
        1.15879,
        1.20792,
        1.24992,
        1.25515,
        1.21813,
        1.31164,
        1.31319,
        1.32555,
        1.32701,
        1.32099,
        1.20144,
        1.19553,
        1.25475,
        1.31101,
        1.26416,
        1.28328,
        1.29679,
        1.24089,
        1.30929,
        1.32934,
        1.26909,
        1.27885,
        1.28839,
        1.27626,
        1.26667,
        1.26619,
        1.27019,
        1.26539,
        1.32406,
        1.28169,
        1.25434,
        1.26614,
        1.30997,
        1.21976,
        1.25834,
        1.27191,
        1.24606,
        1.27252,
        1.22059,
        1.24128,
        1.21943,
        1.26986,
        1.23634,
        1.24346,
        1.2516,
        1.23519,
        1.24084,
        1.21398,
        1.27421,
        1.22565,
        1.24981,
        1.23076,
        1.26216,
        1.25522,
        1.25218,
        1.25131,
        1.25126,
        1.22172,
        1.26256,
        1.26361,
        1.2541,
        1.19347,
        1.21222,
        1.23149,
        1.17313,
        1.18016,
        1.24747,
        1.17819,
        1.27282,
        1.29232,
        1.2877,
        1.2386,
        1.25706,
        1.17175,
        1.27779,
        1.26939,
        1.22651,
        1.28356,
        1.28493,
        1.26123,
        1.21239,
        1.25193,
        1.24839,
        1.24202,
        1.27192,
        1.2649,
        1.32864,
        1.28172,
        1.2844,
        1.26593,
        1.3375,
        1.351,
        1.32509,
        1.26932,
        1.379,
        1.42887,
        1.40459,
        1.37844,
        1.33477,
        1.25284,
        1.31547,
        1.30357,
        1.27324,
        1.2765,
        1.28434,
        1.31591,
        1.22048,
        1.24491,
        1.23987,
        1.19143,
        1.31875,
        1.24461,
        1.22721,
        1.30713,
        1.26323,
        1.21971,
        1.32138,
        1.23476,
        1.25501,
        1.10197,
        1.12767,
        1.3358,
        1.34978,
        1.43108,
        1.26998,
        1.40233,
        1.32624,
        1.19783,
        1.33696,
        1.1907,
        1.31059,
        1.20608,
        1.18308,
        1.23503,
        1.15561,
        1.28711,
        1.21313,
        1.41308,
        1.41665,
        1.19128,
        1.42391,
        1.44122,
        1.44661,
        1.39426,
        1.37201,
        1.33467,
        1.31585,
        1.22249,
        1.22286,
        1.25352,
        1.1936,
        1.26367,
        1.23067,
        1.27005,
        1.21849,
        1.22276,
        1.19427,
        1.19747,
        1.21162,
        1.21233,
        1.3195,
        1.30723,
        1.25629,
        1.26479,
        1.21652,
        1.21393,
        1.22986,
        1.27464,
        1.25079,
        1.25042,
        1.27593,
        1.21897,
        1.27984,
        1.20213,
        1.18397,
        1.20379,
        1.20677,
        1.25172,
        1.27685,
        1.28978,
        1.30699,
        1.2605,
        1.25699,
        1.24298,
        1.20705,
        1.27329,
        1.25359,
        1.2519,
        1.27136,
        1.29972,
        1.26639,
        1.256,
        1.2584,
        1.30147,
        1.28029,
        1.23122,
        1.23805,
        1.32935,
        1.27276,
        1.28987,
        1.34905,
        1.33186,
        1.25344,
        1.32403,
        1.31591,
        1.24492,
        1.23969,
        1.18138,
        1.23333,
        1.24844,
        1.26882,
        1.27553,
        1.26694,
        1.2482,
        1.22556,
        1.19382,
        1.24154,
        1.20668,
        1.22478,
        1.16587,
        1.22037,
        1.30519,
        1.27049,
        1.27878,
        1.28195,
        1.25681,
        1.31107,
        1.31496,
        1.28002,
        1.21909,
        1.28269,
        1.26434,
        1.21017,
        1.27776,
        1.30421,
        1.24885,
        1.24232,
        1.21824,
        1.20208,
        1.29159,
        1.25183,
        1.25265,
        1.27323,
        1.22532,
        1.37417,
        1.27451,
        1.17131,
        1.29686,
        1.30875,
        1.37734,
        1.43591,
        1.35055,
        1.36613,
        1.29221,
        1.31618,
        1.25886,
        1.31694,
        1.26278,
        1.21843,
        1.37235,
        1.25326,
        1.31497,
        1.29943,
        1.26418,
        1.31885,
        1.32422,
        1.30355,
        1.28327,
        1.21314,
        1.24676,
        1.31641,
        1.27366,
        1.25747,
        1.29072,
        1.34502,
        1.33201,
        1.2418,
        1.24277,
        1.35199,
        1.28881,
        1.24026,
        1.35399,
        1.25067,
        1.30427,
        1.32759,
        1.21516,
        1.30001,
        1.41616,
        1.23099,
        1.52354,
        1.48482,
        1.96737,
        1.33767,
        1.60226,
        1.45771,
        1.38639,
        1.34264,
        1.34432,
        1.35344,
        1.34493,
        1.25548,
        1.31648,
        1.28535,
        1.2921,
        1.33903,
        1.27143,
        1.30044,
        1.21692,
        1.23633,
        1.16503,
        1.2529,
        1.28008,
        1.26401,
        1.24979,
        1.27064,
        1.25216,
        1.29194,
        1.30057,
        1.2665,
        1.27821,
        1.22764,
        1.19931,
        1.23339,
        1.25079,
        1.20858,
        1.19828,
        1.24845,
        1.22643,
        1.15426,
        1.21098,
        1.23413,
        1.22266,
        1.19519,
        1.26073,
        1.30094,
        1.23597,
        1.22999,
        1.26382,
        1.25856,
        1.25164,
        1.27777,
        1.24939,
        1.21207,
        1.24039,
        1.26019,
        1.27177,
        1.32718,
        1.26055,
        1.25607,
        1.23087,
        1.24187,
        1.20543,
        1.22589,
        1.27046,
        1.33601,
        1.45591,
        1.36502,
        1.33669,
        1.24922,
        1.24224,
        1.2597,
        1.26006,
        1.28604,
        1.26889,
        1.25725,
        1.2324,
        1.25572,
        1.23222,
        1.27532,
        1.25191,
        1.29227,
        1.29652,
        1.26881,
        1.25179,
        1.26024,
        1.23253,
        1.23659,
        1.25642,
        1.29354,
        1.23688,
        1.21817,
        1.2045,
        1.26648,
        1.24748,
        1.26049,
        1.25495,
        1.26099,
        1.22784,
        1.26534,
        1.26783,
        1.2677,
        1.18322,
        1.22512,
        1.23144,
        1.2042,
        1.22987,
        1.21586,
        1.19101,
        1.23143,
        1.2521,
        1.25232,
        1.2253,
        1.26022,
        1.28219,
        1.24185,
        1.26128,
        1.24331,
        1.24393,
        1.27241,
        1.26346,
        1.30215,
        1.27382,
        1.28702,
        1.2463,
        1.21052,
        1.27294,
        1.2872,
        1.29169,
        1.30213,
        1.30319,
        1.30919,
        1.34366,
        1.32728,
        1.32217,
        1.32343,
        1.30074,
        1.27682,
        1.24894,
        1.33835,
        1.37,
        1.29745,
        1.25669,
        1.29264,
        1.26693,
        1.34675,
        1.30884,
        1.35324,
        1.3588,
        1.31842,
        1.3617,
        1.24702,
        1.3479,
        1.27518,
        1.43507,
        1.30385,
        1.27692,
        1.25988,
        1.22114,
        1.41045,
        1.50456,
        1.41165,
        1.59449,
        1.10349,
        1.52681,
        1.56237,
        1.25182,
        1.17944,
        1.46325,
        1.40636,
        1.28319,
        1.34339,
        1.3476,
        1.32555,
        1.31386,
        1.27655,
        1.33321,
        1.18908,
        1.2303,
        1.28832,
        1.33657,
        1.33837,
        1.33434,
        1.26537,
        1.27692,
        1.29748,
        1.30593,
        1.27269,
        1.19525,
        1.29925,
        1.31009,
        1.23327,
        1.29741,
        1.33733,
        1.29828,
        1.30648,
        1.34267,
        1.27441,
        1.30294,
        1.28334,
        1.28101,
        1.25077,
        1.27116,
        1.21433,
        1.23269,
        1.29489,
        1.26891,
        1.21847,
        1.24712,
        1.29023,
        1.27634,
        1.27843,
        1.28264,
        1.34275,
        1.33045,
        1.27539,
        1.26595,
        1.27581,
        1.24908,
        1.29718,
        1.25321,
        1.24857,
        1.25444,
        1.25784,
        1.29941,
        1.23497,
        1.24821,
        1.30915,
        1.31344,
        1.37161,
        1.32877,
        1.31578,
        1.32419,
        1.30037,
        1.30849,
        1.30093,
        1.28761,
        1.29822,
        1.27122,
        1.25942,
        1.24769,
        1.25277,
        1.26937,
        1.26731,
        1.31685,
        1.30115,
        1.3049,
        1.2889,
        1.29491,
        1.30765,
        1.31966,
        1.30885,
        1.30651,
        1.29095,
        1.28786,
        1.30913,
        1.29328,
        1.33569,
        1.28092,
        1.26742,
        1.23634,
        1.26993,
        1.2574,
        1.28282,
        1.25171,
        1.2307,
        1.23534,
        1.29848,
        1.24276,
        1.27396,
        1.19844,
        1.29913,
        1.3467,
        1.38454,
        1.33975,
        1.32287,
        1.34326,
        1.35837,
        1.35146,
        1.27666,
        1.31598,
        1.2946,
        1.30686,
        1.30073,
        1.28661,
        1.30579,
        1.31371,
        1.31341,
        1.27415,
        1.22773,
        1.26336,
        1.21523,
        1.24609,
        1.15056,
        1.30156,
        1.29818,
        1.35724,
        1.32808,
        1.2767,
        1.23378,
        1.43059,
        1.38002,
        1.31394,
        1.20368,
        1.25765,
        1.31447,
        1.38557,
        1.30814,
        1.26551,
        1.29219,
        1.34184,
        1.25201,
        1.24857,
        1.29413,
        1.36032,
        1.41712,
        1.27753,
        1.34399,
        1.31148,
        1.28646,
        1.20765,
        1.35244,
        1.41942,
        1.28023,
        1.20849,
        1.74348,
        1.17633,
        1.36588,
        1.46883,
        1.39547,
        1.19118,
        1.44034,
        1.2679,
        1.3312,
        1.43816,
        1.23137,
        1.27402,
        1.35219,
        1.31796,
        1.29099,
        1.25531,
        1.23809,
        1.29639,
        1.32941,
        1.29201,
        1.28773,
        1.33184,
        1.29651,
        1.32693,
        1.32753,
        1.36103,
        1.35189,
        1.30803,
        1.34085,
        1.38081,
        1.3111,
        1.27768,
        1.23671,
        1.32458,
        1.31085,
        1.34464,
        1.30914,
        1.25592,
        1.31579,
        1.32203,
        1.28499,
        1.287,
        1.24998,
        1.29055,
        1.32125,
        1.30938,
        1.29062,
        1.23939,
        1.30023,
        1.24938,
        1.30641,
        1.31798,
        1.30549,
        1.36117,
        1.35078,
        1.33649,
        1.29501,
        1.25345,
        1.27096,
        1.26311,
        1.3044,
        1.27385,
        1.30246,
        1.23168,
        1.33047,
        1.26127,
        1.27157,
        1.301,
        1.37908,
        1.31283,
        1.2924,
        1.27035,
        1.27122,
        1.29455,
        1.40208,
        1.36191,
        1.32156,
        1.31495,
        1.28706,
        1.33187,
        1.26761,
        1.25004,
        1.27484,
        1.32209,
        1.30657,
        1.37336,
        1.31927,
        1.22131,
        1.3026,
        1.30621,
        1.20026,
        1.32579,
        1.33883,
        1.26034,
        1.3505,
        1.3346,
        1.37139,
        1.33763,
        1.28958,
        1.29669,
        1.35548,
        1.25984,
        1.27667,
        1.23274,
        1.25937,
        1.34,
        1.30635,
        1.31022,
        1.35872,
        1.23688,
        1.28158,
        1.24123,
        1.22731,
        1.29588,
        1.2794,
        1.30633,
        1.28763,
        1.28069,
        1.24438,
        1.31341,
        1.27482,
        1.23814,
        1.2434,
        1.36329,
        1.23579,
        1.30272,
        1.31569,
        1.34703,
        1.2632,
        1.24133,
        1.29434,
        1.27324,
        1.26328,
        1.32465,
        1.19027,
        1.3331,
        1.32991,
        1.31373,
        1.24245,
        1.27228,
        1.2388,
        1.24127,
        1.29832,
        1.32768,
        1.21859,
        1.23806,
        1.35496,
        1.30253,
        1.297,
        1.26091,
        1.26746,
        1.28616,
        1.30462,
        1.31326,
        1.31533,
        1.38784,
        1.24883,
        1.24105,
        1.21669,
        1.24209,
        1.31133,
        1.33558,
        1.34713,
        1.2433,
        1.40926,
        1.44131,
        1.57131,
        1.7849,
        1.22707,
        1.15069,
        1.37162,
        1.40551,
        1.38285,
        1.24163,
        1.24766,
        1.29568,
        1.30005,
        1.3405,
        1.32723,
        1.24532,
        1.28129,
        1.31461,
        1.2797,
        1.32439,
        1.28506,
        1.27689,
        1.26592,
        1.28304,
        1.26872,
        1.26343,
        1.25005,
        1.29967,
        1.34823,
        1.29123,
        1.2837,
        1.29702,
        1.29234,
        1.30902,
        1.26021,
        1.20139,
        1.26744,
        1.33838,
        1.28291,
        1.28377,
        1.28641,
        1.26441,
        1.33842,
        1.24067,
        1.31,
        1.34412,
        1.34162,
        1.27725,
        1.30349,
        1.23423,
        1.28235,
        1.26224,
        1.30443,
        1.27826,
        1.23826,
        1.28572,
        1.30973,
        1.33423,
        1.27196,
        1.27455,
        1.26821,
        1.28916,
        1.24863,
        1.25919,
        1.24812,
        1.24908,
        1.30087,
        1.32186,
        1.24649,
        1.27462,
        1.28888,
        1.23829,
        1.25962,
        1.25972,
        1.22955,
        1.27087,
        1.25847,
        1.2707,
        1.30968,
        1.29788,
        1.23688,
        1.26879,
        1.27071,
        1.30628,
        1.29482,
        1.27744,
        1.26023,
        1.28608,
        1.27122,
        1.28582,
        1.28235,
        1.2811,
        1.24663,
        1.24558,
        1.24025,
        1.24829,
        1.27265,
        1.28673,
        1.31105,
        1.32824,
        1.31213,
        1.27928,
        1.29957,
        1.24092,
        1.26926,
        1.29453,
        1.21431,
        1.26206,
        1.2875,
        1.31867,
        1.26543,
        1.31366,
        1.2709,
        1.27427,
        1.29643,
        1.26192,
        1.2431,
        1.23176,
        1.32503,
        1.33562,
        1.30535,
        1.31878,
        1.19079,
        1.25671,
        1.26652,
        1.22034,
        1.24414,
        1.22887,
        1.25492,
        1.25353,
        1.25404,
        1.32675,
        1.29417,
        1.20429,
        1.26167,
        1.20829,
        1.22197,
        1.27488,
        1.28218,
        1.25065,
        1.26719,
        1.2761,
        1.29406,
        1.26462,
        1.21217,
        1.26714,
        1.24862,
        1.2441,
        1.29125,
        1.27936,
        1.31099,
        1.20471,
        1.22211,
        1.26812,
        1.25345,
        1.31252,
        1.24118,
        1.25247,
        1.29541,
        1.27037,
        1.25161,
        1.29758,
        1.3236,
        1.31645,
        1.34081,
        1.25415,
        1.28355,
        1.37434,
        1.45483,
        1.55523,
        1.45036,
        1.39515,
        1.19716,
        1.56022,
        1.39427,
        1.41079,
        1.28409,
        1.18674,
        1.35389,
        1.25589,
        1.21096,
        1.32758,
        1.2746,
        1.38039,
        1.33914,
        1.31428,
        1.27533,
        1.25143,
        1.27739,
        1.29722,
        1.25363,
        1.27348,
        1.28231,
        1.26594,
        1.19014,
        1.31128,
        1.16891,
        1.26482,
        1.29702,
        1.2861,
        1.27868,
        1.29663,
        1.27932,
        1.25033,
        1.28953,
        1.29239,
        1.21146,
        1.21022,
        1.23324,
        1.2417,
        1.28735,
        1.30367,
        1.29016,
        1.29738,
        1.22084,
        1.25346,
        1.29133,
        1.33016,
        1.2526,
        1.31887,
        1.24331,
        1.18088,
        1.21944,
        1.16217,
        1.19842,
        1.28498,
        1.26569,
        1.25387,
        1.26638,
        1.28901,
        1.28623,
        1.29447,
        1.32088,
        1.33215,
        1.24598,
        1.23793,
        1.19018,
        1.26246,
        1.26974,
        1.22383,
        1.23071,
        1.27226,
        1.30785,
        1.2905,
        1.28714,
        1.23915,
        1.2137,
        1.26403,
        1.28417,
        1.20164,
        1.3093,
        1.2357,
        1.25958,
        1.25953,
        1.2111,
        1.34724,
        1.30712,
        1.25372,
        1.24217,
        1.29303,
        1.27779,
        1.23274,
        1.17999,
        1.3056,
        1.28327,
        1.18754,
        1.30419,
        1.30639,
        1.20752,
        1.22185,
        1.33559,
        1.31019,
        1.3323,
        1.32702,
        1.2748,
        1.19789,
        1.19486,
        1.0757,
        1.14909,
        1.2744,
        1.70225,
        1.60859,
        1.91651,
        1.71062,
        1.3771,
        1.25266,
        1.4312,
        1.37997,
        1.41862,
        1.2351,
        1.30287,
        1.38143,
        1.37636,
        1.29128,
        1.30699,
        1.28171,
        1.2817,
        1.3468,
        1.27937,
        1.1845,
        1.1732,
        1.30732,
        1.19009,
        1.31363,
        1.28326,
        1.36204,
        1.29045,
        1.26867,
        1.24452,
        1.25049,
        1.2733,
        1.37551,
        1.37476,
        1.24926,
        1.17639,
        1.29238,
        1.26448,
        1.19654,
        1.22319,
        1.31772,
        1.28593,
        1.27212,
        1.24997,
        1.23035,
        1.31143,
        1.52069,
        1.20649,
        1.37825,
        1.3792,
        1.13316,
        1.11621,
        1.20614,
        1.27247,
        1.3767,
        1.63495,
        1.31333,
        1.36111,
        1.40693,
        1.27206,
        1.28606,
        1.44914,
        1.24121,
        1.20685,
        1.31295,
        1.32627,
        1.19994,
        1.35643,
        1.269,
        1.29502,
        1.30246,
        1.26352,
        1.28017,
        1.34864,
        1.20892,
        1.26316,
        1.24259,
        1.27276,
        1.17482,
        1.25974,
        1.2375,
        1.28193,
        1.24104,
        1.28343,
        1.26025,
        1.23644,
        1.29943,
        1.31015,
        1.28368,
        1.29772,
        1.24636,
        1.24019,
        1.23096,
        1.33227,
        1.31362,
        1.33401,
        1.22729,
        1.26951,
        1.21728,
        1.24403,
        1.28336,
        1.31145,
        1.32287,
        1.37246,
        1.36094,
        1.26248,
        1.22787,
        1.29355,
        1.29493,
        1.25523,
        1.27431,
        1.26342,
        1.25924,
        1.22492,
        1.24805,
        1.23654,
        1.23244,
        1.19139,
        1.27595,
        1.30868,
        1.26693,
        1.29107,
        1.28807,
        1.16937,
        1.24132,
        1.25913,
        1.25917,
        1.30871,
        1.20779,
        1.28275,
        1.24039,
        1.25624,
        1.22981,
        1.26249,
        1.24007,
        null,
        1.14316,
        1.31727,
        1.2331,
        1.30106,
        1.17442,
        1.2109,
        1.18766,
        1.28081,
        1.26075,
        1.23571,
        1.24545,
        1.25844,
        1.19152,
        1.27991,
        1.28071,
        1.05377,
        1.19046,
        1.72029,
        1.48274,
        1.33515,
        1.57301,
        1.35856,
        1.46281,
        1.34402,
        1.40794,
        1.35625,
        1.29677,
        1.21653,
        1.3703,
        1.27781,
        1.29299,
        1.26343,
        1.22609,
        1.20124,
        1.24118,
        1.32801,
        1.35575,
        1.28646,
        1.24505,
        1.20576,
        1.20948,
        1.1863,
        1.24348,
        1.20477,
        1.19379,
        1.20755,
        1.21445,
        1.23448,
        1.11991,
        1.11701,
        1.16642,
        1.17411,
        1.22147,
        1.19864,
        1.09728,
        1.12034,
        1.20483,
        1.2141,
        1.28664,
        1.1617,
        1.1908,
        1.30385,
        1.20201,
        1.28274,
        1.30735,
        1.23216,
        1.16361,
        1.16969,
        1.19689,
        1.15247,
        1.29242,
        1.17925,
        1.1958,
        1.26678,
        1.22839,
        1.24926,
        1.15953,
        1.24335,
        1.23194,
        1.22641,
        1.28105,
        1.14904,
        1.26011,
        1.18945,
        1.15276,
        1.2211,
        1.2882,
        1.27474,
        1.22888,
        1.12102,
        1.17095,
        1.25899,
        1.24065,
        1.32673,
        1.31062,
        1.24768,
        1.14064,
        1.20517,
        1.28631,
        1.20708,
        1.25418,
        1.30754,
        1.36208,
        1.17944,
        1.32632,
        1.31723,
        1.30626,
        1.05864,
        1.25665,
        1.13772,
        1.24806,
        1.41206,
        1.20913,
        1.29502,
        1.2831,
        1.2998,
        1.09222,
        1.25842,
        1.24342,
        1.25881,
        1.43986,
        1.29699,
        1.24797,
        1.0979,
        1.39233,
        1.22933,
        1.19428,
        1.44233,
        1.47719,
        1.28885,
        1.40853,
        1.16561,
        1.18761,
        1.25708,
        1.06914,
        1.17189,
        1.40625,
        1.36931,
        1.13733,
        1.49817,
        1.117,
        1.21624,
        1.31661,
        1.30326,
        1.45285,
        1.51592,
        1.32359,
        null,
        1.44127,
        1.29174,
        1.0932,
        1.34514,
        1.26745,
        1.26109,
        1.11414,
        1.26423,
        1.46132,
        1.53977,
        1.54905,
        1.20929,
        1.43686,
        1.27508,
        1.34011,
        1.33497,
        1.35235,
        1.25116,
        1.28314,
        1.18239,
        1.33914,
        1.28015,
        1.33827,
        1.19892,
        1.38893,
        1.25017,
        1.31982,
        1.44292,
        1.18595,
        1.37528,
        1.13517,
        1.34597,
        1.25812,
        1.10759,
        1.13746,
        1.29381,
        1.16286,
        1.37832,
        1.28784,
        1.21002,
        1.20295,
        1.22552,
        1.27989,
        1.20684,
        1.18308,
        1.22099,
        1.18073,
        1.21845,
        1.22023,
        1.28468,
        1.28245,
        1.22548,
        1.15321,
        1.20191,
        1.25384,
        1.18193,
        1.2636,
        1.26675,
        1.23882,
        1.15014,
        1.14973,
        1.18653,
        1.18557,
        1.24557,
        1.13462,
        1.29791,
        1.13189,
        1.27626,
        1.07874,
        1.13187,
        1.2131,
        1.27211,
        1.24775,
        1.161,
        1.21466,
        1.26624,
        1.22272,
        1.17824,
        1.27704,
        1.26013,
        1.15127,
        1.20252,
        1.15502,
        1.1991,
        1.19001,
        1.18535,
        1.27518,
        1.25624,
        1.18063,
        1.25286,
        1.16477,
        1.17858,
        1.19704,
        1.25978,
        1.15034,
        1.20027,
        1.33766,
        1.22357,
        1.22121,
        1.29819,
        1.18308,
        1.17888,
        1.32774,
        1.32441,
        1.27825,
        1.24014,
        1.21981,
        1.23607,
        1.25399,
        1.18992,
        1.28298,
        1.16118,
        1.05663,
        1.16959,
        1.04881,
        1.1784,
        1.33978,
        1.47449,
        1.25045,
        1.30621,
        1.39368,
        1.29072,
        1.32046,
        1.27585,
        1.24568,
        1.25436,
        1.15563,
        1.15011,
        1.28374,
        1.23465,
        1.23624,
        1.1952,
        1.27938,
        1.30749,
        1.18922,
        1.21584,
        1.33754,
        1.21398,
        1.26089,
        1.35659,
        1.19846,
        1.17442,
        1.2512,
        1.1782,
        1.25781,
        1.26802,
        1.30089,
        1.21483,
        1.22198,
        1.24076,
        1.22422,
        1.20491,
        1.2274,
        1.24274,
        1.28319,
        1.26292,
        1.21538,
        1.16385,
        1.17076,
        1.14151,
        1.16049,
        1.19044,
        1.29028,
        1.22671,
        1.1922,
        1.21619,
        1.2585,
        1.2552,
        1.1806,
        1.28682,
        1.25419,
        1.24256,
        1.2235,
        1.16477,
        1.21306,
        1.17013,
        1.19452,
        1.14799,
        1.22336,
        1.22222,
        1.2817,
        1.26008,
        1.2479,
        1.15001,
        1.19097,
        1.28359,
        1.17786,
        1.26166,
        1.29384,
        1.25514,
        1.25437,
        1.23691,
        1.29309,
        1.27147,
        1.22807,
        1.26924,
        1.25136,
        1.18732,
        1.245,
        1.23157,
        1.16527,
        1.23026,
        1.15197,
        1.21387,
        1.19233,
        1.25924,
        1.24443,
        1.17834,
        1.18577,
        1.25531,
        1.29143,
        1.28741,
        1.27122,
        1.25621,
        1.25021,
        1.22025,
        1.20935,
        1.27559,
        1.25059,
        1.30353,
        1.22484,
        1.25877,
        1.2686,
        1.16537,
        1.20029,
        1.25882,
        1.25086,
        1.26271,
        1.26208,
        1.21898,
        1.19567,
        1.24501,
        1.22996,
        1.19505,
        1.16458,
        1.25168,
        1.21245,
        1.18131,
        1.19101,
        1.19292,
        1.22927,
        1.19663,
        1.20487,
        1.21907,
        1.16143,
        1.21593,
        1.23394,
        1.1741,
        1.2543,
        1.26032,
        1.18827,
        1.23717,
        1.16566,
        1.22134,
        1.27222,
        1.21122,
        1.20046,
        1.15705,
        1.2674,
        1.23032,
        1.14326,
        1.19299,
        1.23698,
        1.22878,
        1.19177,
        1.15743,
        1.20311,
        1.18259,
        1.22564,
        1.11308,
        1.26414,
        1.25196,
        1.26067,
        1.29081,
        1.26427,
        1.20562,
        1.25652,
        1.30111,
        1.17626,
        1.11379,
        1.279,
        1.11814,
        1.23313,
        1.54644,
        1.29936,
        1.43695,
        1.31615,
        1.12588,
        1.23869,
        1.28739,
        1.26293,
        1.22371,
        1.27734,
        1.24759,
        1.21879,
        1.23629,
        1.23905,
        1.22202,
        1.28381,
        1.25625,
        1.18283,
        1.18496,
        1.24808,
        1.18951,
        1.22168,
        1.20735,
        1.18795,
        1.26155,
        1.24922,
        1.19944,
        1.19946,
        1.23904,
        1.24653,
        1.30133,
        1.25178,
        1.16996,
        1.17585,
        1.20217,
        1.23539,
        1.24033,
        1.26816,
        1.21339,
        1.21291,
        1.26071,
        1.27282,
        1.22162,
        1.21472,
        1.21533,
        1.2793,
        1.28558,
        1.27592,
        1.23735,
        1.22477,
        1.25464,
        1.22111,
        1.14653,
        1.22225,
        1.2689,
        1.275,
        1.21285,
        1.20856,
        1.21023,
        1.22346,
        1.22029,
        1.24046,
        1.23572,
        1.22792,
        1.19829,
        1.13454,
        1.20888,
        1.34225,
        1.24142,
        1.25418,
        1.28042,
        1.32492,
        1.32205,
        1.32234,
        1.24198,
        1.25382,
        1.16845,
        1.26541,
        1.3279,
        1.26657,
        1.38769,
        1.323,
        1.24191,
        1.32206,
        1.39162,
        1.31027,
        1.26245,
        1.274,
        1.40384,
        1.36489,
        1.45428,
        1.29546,
        1.50833,
        1.71382,
        2.17598,
        1.66545,
        1.34994,
        1.15582,
        1.52545,
        1.41715,
        1.45426,
        1.43025,
        1.38581,
        1.08449,
        1.17326,
        1.34024,
        1.21233,
        1.16753,
        1.17414,
        1.30216,
        1.26715,
        1.27263,
        1.19851,
        1.30711,
        1.46568,
        1.34887,
        1.18839,
        1.56619,
        1.4428,
        1.3461,
        1.36288,
        1.31201,
        1.38192,
        1.24796,
        1.31125,
        1.14973,
        1.25702,
        1.16721,
        1.09026,
        1.35793,
        1.22888,
        1.17628,
        1.21503,
        1.17457,
        1.23043,
        1.2698,
        1.26197,
        1.21813,
        1.30902,
        1.24124,
        1.21272,
        1.19892,
        1.20914,
        1.19322,
        1.31813,
        1.23793,
        1.2893,
        1.23713,
        1.23167,
        1.31891,
        1.31323,
        1.35979,
        1.26938,
        1.21824,
        1.35459,
        1.29831,
        1.41569,
        1.37469,
        1.25884,
        1.32608,
        1.36237,
        1.22361,
        1.18866,
        1.34803,
        1.25568,
        1.19381,
        1.18491,
        1.28487,
        1.23676,
        1.18344,
        1.19893,
        1.22985,
        1.1664,
        1.20888,
        1.24022,
        1.24341,
        1.22512,
        1.17353,
        1.22801,
        1.23819,
        1.25257,
        1.27031,
        1.24247,
        1.21459,
        1.19711,
        1.16554,
        1.27523,
        1.21677,
        1.17395,
        1.1806,
        1.17159,
        1.15359,
        1.19929,
        1.18118,
        1.17657,
        1.15185,
        1.22734,
        1.27895,
        1.26696,
        1.24024,
        1.17111,
        1.20022,
        1.16265,
        1.2164,
        1.23338,
        1.18682,
        1.21657,
        1.17701,
        1.21914,
        1.23108,
        1.24288,
        1.21097,
        1.20418,
        1.18938,
        1.21425,
        1.26597,
        1.24883,
        1.2585,
        1.23113,
        1.1819,
        1.20739,
        1.2672,
        1.21171,
        1.22448,
        1.227,
        1.2231,
        1.1977,
        1.20163,
        1.2444,
        1.22885,
        1.20882,
        1.23609,
        1.20429,
        1.19692,
        1.21691,
        1.23684,
        1.20765,
        1.2348,
        1.18889,
        1.27691,
        1.27422,
        1.22634,
        1.19426,
        1.18157,
        1.18839,
        1.2081,
        1.20552,
        1.21152,
        1.18273,
        1.21035,
        1.274,
        1.25236,
        1.19377,
        1.18876,
        1.18241,
        1.18337,
        1.14698,
        1.20445,
        1.19664,
        1.16019,
        1.15491,
        1.17383,
        1.25527,
        1.24707,
        1.26327,
        1.17906,
        1.1963,
        1.21691,
        1.28369,
        1.25419,
        1.23029,
        1.22741,
        1.21116,
        1.21051,
        1.25168,
        1.19482,
        1.21507,
        1.23185,
        1.30657,
        1.17398,
        1.23292,
        1.24681,
        1.2136,
        1.21217,
        1.26269,
        1.26936,
        1.20947,
        1.24945,
        1.2026,
        1.18992,
        1.17881,
        1.18484,
        1.19787,
        1.23557,
        1.22231,
        1.2366,
        1.19576,
        1.1988,
        1.19285,
        1.22851,
        1.18006,
        1.18848,
        1.20227,
        1.14953,
        1.22785,
        1.2176,
        1.19667,
        1.17238,
        1.22019,
        1.15592,
        1.22967,
        1.24303,
        1.23521,
        1.19772,
        1.23857,
        1.27577,
        1.23454,
        1.19354,
        1.25233,
        1.15612,
        1.20272,
        1.27886,
        1.16041,
        1.27461,
        1.21046,
        1.236,
        1.38211,
        1.32852,
        1.20791,
        1.21108,
        1.26932,
        1.33492,
        1.2308,
        1.36845,
        1.28921,
        1.20367,
        1.1951,
        1.24049,
        1.17526,
        1.27323,
        1.22884,
        1.23499,
        1.20071,
        1.23148,
        1.33469,
        1.24601,
        1.228,
        1.27526,
        1.2836,
        1.25002,
        1.3052,
        1.29838,
        1.23485,
        1.27417,
        1.22623,
        1.26281,
        1.22173,
        1.21729,
        1.18024,
        1.25223,
        1.16285,
        1.21072,
        1.25407,
        1.21041,
        1.2177,
        1.15738,
        1.18016,
        1.17433,
        1.1738,
        1.20597,
        1.18874,
        1.2103,
        1.19143,
        1.19648,
        1.23872,
        1.22449,
        1.24695,
        1.21376,
        1.23234,
        1.22588,
        1.22615,
        1.19644,
        1.22567,
        1.22757,
        1.22757,
        1.24538,
        1.22209,
        1.17858,
        1.19057,
        1.17446,
        1.18283,
        1.22475,
        1.14724,
        1.15026,
        1.19461,
        1.21489,
        1.22107,
        1.18411,
        1.19725,
        1.2273,
        1.19242,
        1.20588,
        1.23322,
        1.24932,
        1.17037,
        1.1926,
        1.23375,
        1.22657,
        1.22184,
        1.29703,
        1.17946,
        1.22628,
        1.24865,
        1.23782,
        1.2172,
        1.22278,
        1.28133,
        1.27468,
        1.28756,
        1.30313,
        1.24466,
        1.2576,
        1.22335,
        1.22275,
        1.18922,
        1.19173,
        1.20588,
        1.2477,
        1.20879,
        1.23656,
        1.20041,
        1.14941,
        1.11692,
        1.20823,
        1.23485,
        1.24875,
        1.2592,
        1.21044,
        1.24135,
        1.23326,
        1.26917,
        1.22288,
        1.24204,
        1.23457,
        1.20396,
        1.23987,
        1.27336,
        1.29843,
        1.2643,
        1.23568,
        1.2592,
        1.21725,
        1.22753,
        1.23258,
        1.19661,
        1.21964,
        1.22228,
        1.26307,
        1.20059,
        1.18186,
        1.26907,
        1.23547,
        1.23017,
        1.22005,
        1.23851,
        1.24582,
        1.2277,
        1.16174,
        1.24842,
        1.22765,
        1.27131,
        1.25379,
        1.22289,
        1.19086,
        1.33745,
        1.21677,
        1.20258,
        1.2289,
        1.29179,
        1.34225,
        1.31463,
        1.08177,
        1.15397,
        1.31105,
        1.47247,
        1.45899,
        1.42924,
        1.48454,
        1.2415,
        1.3394,
        1.31875,
        1.3151,
        1.17022,
        1.15574,
        1.20777,
        1.26139,
        1.21398,
        1.14662,
        1.23944,
        1.21101,
        1.27609,
        1.30201,
        1.18458,
        1.30531,
        1.24335,
        1.19918,
        1.21983,
        1.18681,
        1.22179,
        1.21169,
        1.25635,
        1.22103,
        1.24977,
        1.14438,
        1.18524,
        1.18011,
        1.19959,
        1.18578,
        1.24775,
        1.20352,
        1.22013,
        1.23056,
        1.26048,
        1.27443,
        1.24013,
        1.23308,
        1.2365,
        1.26764,
        1.2425,
        1.24978,
        1.2651,
        1.26239,
        1.27464,
        1.26729,
        1.2575,
        1.2132,
        1.24717,
        1.25936,
        1.23467,
        1.18465,
        1.21682,
        1.18993,
        1.20323,
        1.20591,
        1.24883,
        1.23393,
        1.20901,
        1.24166,
        1.20952,
        1.23468,
        1.19607,
        1.18363,
        1.16999,
        1.2092,
        1.18475,
        1.24791,
        1.2017,
        1.26565,
        1.24548,
        1.27262,
        1.29629,
        1.19769,
        1.21224,
        1.21216,
        1.2124,
        1.23533,
        1.2153,
        1.21395,
        1.23742,
        1.21733,
        1.23734,
        1.20817,
        1.19636,
        1.19461,
        1.16644,
        1.21417,
        1.20224,
        1.206,
        1.18238,
        1.20407,
        1.19009,
        1.18335,
        1.2453,
        1.21962,
        1.25168,
        1.21268,
        1.18012,
        1.28516,
        1.21904,
        1.2003,
        1.20953,
        1.23719,
        1.26491,
        1.2642,
        1.25281,
        1.1923,
        1.24242,
        1.2047,
        1.19261,
        1.1886,
        1.22497,
        1.20702,
        1.2548,
        1.28716,
        1.21967,
        1.17706,
        1.20569,
        1.14931,
        1.25273,
        1.23286,
        1.22969,
        1.18916,
        1.21808,
        1.21745,
        1.19668,
        1.2196,
        1.24264,
        1.20916,
        1.20012,
        1.23768,
        1.24682,
        1.25747,
        1.26253,
        1.25858,
        1.21303,
        1.22797,
        1.24171,
        1.18781,
        1.21723,
        1.17671,
        1.23278,
        1.20459,
        1.15335,
        1.24274,
        1.21983,
        1.24779,
        1.19925,
        1.19878,
        1.23882,
        1.26447,
        1.29448,
        1.28788,
        1.25515,
        1.19933,
        1.2457,
        1.24522,
        1.24592,
        1.26342,
        1.28445,
        1.24372,
        1.23389,
        1.27547,
        1.24153,
        1.25468,
        1.28999,
        1.21617,
        1.24124,
        1.31486,
        1.2868,
        1.20819,
        1.31967,
        1.33425,
        1.31922,
        1.30292,
        1.30435,
        1.26864,
        1.26937,
        1.23038,
        1.23263,
        1.21217,
        1.18889,
        1.23075,
        1.27867,
        1.22504,
        1.20298,
        1.19146,
        1.28711,
        1.18229,
        1.24177,
        1.29721,
        1.27752,
        1.2742,
        1.23786,
        1.22353,
        1.24972,
        1.27057,
        1.22314,
        1.21334,
        1.19185,
        1.20801,
        1.20249,
        1.21386,
        1.18784,
        1.2237,
        1.22053,
        1.24756,
        1.23452,
        1.23324,
        1.23227,
        1.26777,
        1.26034,
        1.2597,
        1.18542,
        1.19678,
        1.26128,
        1.21675,
        1.28961,
        1.23241,
        1.27184,
        1.23255,
        1.25064,
        1.26635,
        1.23474,
        1.22986,
        1.25069,
        1.21701,
        1.26788,
        1.26996,
        1.2104,
        1.21182,
        1.21078,
        1.21545,
        1.17548,
        1.26737,
        1.26075,
        1.21806,
        1.19727,
        1.25598,
        1.2021,
        1.26898,
        1.25537,
        1.21491,
        1.29044,
        1.23109,
        1.21107,
        1.2221,
        1.22578,
        1.25184,
        1.24595,
        1.2098,
        1.18365,
        1.1718,
        1.20849,
        1.26361,
        1.25474,
        1.21618,
        1.21262,
        1.21107,
        1.24706,
        1.23027,
        1.23028,
        1.20967,
        1.24945,
        1.23604,
        1.25343,
        1.21524,
        1.21802,
        1.19504,
        1.20613,
        1.2391,
        1.23622,
        1.26097,
        1.3014,
        1.29844,
        1.23289,
        1.25733,
        1.19766,
        1.21182,
        1.28046,
        1.21444,
        1.21529,
        1.22078,
        1.25669,
        1.217,
        1.29981,
        1.24838,
        1.25365,
        1.27822,
        1.2554,
        1.25371,
        1.2192,
        1.18127,
        1.25814,
        1.21598,
        1.22099,
        1.22404,
        1.29125,
        1.23397,
        1.2251,
        1.25175,
        1.25624,
        1.28408,
        1.25099,
        1.26952,
        1.262,
        1.2432,
        1.23703,
        1.23353,
        1.19448,
        1.26283,
        1.22442,
        1.21098,
        1.26485,
        1.22388,
        1.21798,
        1.18572,
        1.20031,
        1.25017,
        1.27476,
        1.20672,
        1.23562,
        1.15808,
        1.17593,
        1.16396,
        1.22437,
        1.2238,
        1.21386,
        1.24303,
        1.25492,
        1.27526,
        1.2682,
        1.24768,
        1.22087,
        1.22241,
        1.23192,
        1.25574,
        1.24616,
        1.22918,
        1.27103,
        1.24828,
        1.21675,
        1.25206,
        1.27368,
        1.32049,
        1.28084,
        1.29513,
        1.31253,
        1.25051,
        1.2189,
        1.24969,
        1.22248,
        1.20062,
        1.22975,
        1.25534,
        1.27553,
        1.2628,
        1.27724,
        1.25946,
        1.25413,
        1.27336,
        1.33157,
        1.25817,
        1.18891,
        1.16239,
        1.20112,
        1.27038,
        1.26674,
        1.22912,
        1.27384,
        1.18021,
        1.28829,
        1.2027,
        1.29491,
        1.25999,
        1.24604,
        1.23552,
        1.27548,
        1.25249,
        1.27032,
        1.22038,
        1.22555,
        1.20049,
        1.20587,
        1.20616,
        1.26361,
        1.23747,
        1.22057,
        1.22394,
        1.23663,
        1.26559,
        1.19275,
        1.22845,
        1.22519,
        1.24332,
        1.21918,
        1.18853,
        1.19173,
        1.18574,
        1.19805,
        1.21308,
        1.25698,
        1.24481,
        1.24715,
        1.24078,
        1.24675,
        1.25072,
        1.24566,
        1.22489,
        1.22845,
        1.18293,
        1.24849,
        1.23716,
        1.26895,
        1.24596,
        1.22225,
        1.23514,
        1.24016,
        1.24053,
        1.29057,
        1.23941,
        1.16878,
        1.21783,
        1.20077,
        1.20616,
        1.22901,
        1.26,
        1.2559,
        1.26352,
        1.24648,
        1.23298,
        1.22274,
        1.22639,
        1.24402,
        1.26236,
        1.2306,
        1.21992,
        1.21427,
        1.22231,
        1.20215,
        1.23226,
        1.22683,
        1.25296,
        1.25073,
        1.20713,
        1.24051,
        1.25896,
        1.28283,
        1.22169,
        1.23175,
        1.32103,
        1.24469,
        1.23161,
        1.25488,
        1.28032,
        1.24642,
        1.22956,
        1.23406,
        1.21654,
        1.18056,
        1.16466,
        1.14201,
        1.21624,
        1.19435,
        1.24434,
        1.29017,
        1.26357,
        1.25325,
        1.23606,
        1.24908,
        1.24693,
        1.26878,
        1.25753,
        1.24482,
        1.21855,
        1.32791,
        1.25514,
        1.33968,
        1.29903,
        1.34797,
        1.27442,
        1.26139,
        1.27531,
        1.29463,
        1.25766,
        1.2465,
        1.26458,
        1.2429,
        1.2199,
        1.3289,
        1.2943,
        1.24362,
        1.29471,
        1.28787,
        1.24588,
        1.17234,
        1.26189,
        1.19761,
        1.20661,
        1.26279,
        1.21844,
        1.18793,
        1.19875,
        1.2732,
        1.28624,
        1.27155,
        1.25126,
        1.25644,
        1.25816,
        1.19309,
        1.25422,
        1.25228,
        1.31748,
        1.26831,
        1.23008,
        1.25062,
        1.20792,
        1.23843,
        1.22592,
        1.23402,
        1.22948,
        1.19985,
        1.2311,
        1.25452,
        1.1717,
        1.20817,
        1.22817,
        1.28144,
        1.27545,
        1.2622,
        1.2372,
        1.22676,
        1.18422,
        1.1997,
        1.25828,
        1.25145,
        1.20991,
        1.22896,
        1.26127,
        1.30051,
        1.2525,
        1.32504,
        1.25327,
        1.25123,
        1.28617,
        1.29516,
        1.27636,
        1.28565,
        1.24144,
        1.23611,
        1.20379,
        1.30096,
        1.27113,
        1.25188,
        1.28162,
        1.28196,
        1.21327,
        1.26404,
        1.28126,
        1.18434,
        1.21625,
        1.21963,
        1.26826,
        1.32393,
        1.24414,
        1.25109,
        1.22883,
        1.26879,
        1.24947,
        1.26346,
        1.20749,
        1.25402,
        1.17591,
        1.21998,
        1.26726,
        1.1712,
        1.22754,
        1.18238,
        1.22132,
        1.19989,
        1.21979,
        1.21162,
        1.24219,
        1.26872,
        1.25017,
        1.25373,
        1.24576,
        1.22297,
        1.20409,
        1.23663,
        1.23753,
        1.2376,
        1.22307,
        1.20783,
        1.21512,
        1.24683,
        1.21969,
        1.21338,
        1.2146,
        1.18429,
        1.21724,
        1.19537,
        1.2262,
        1.24034,
        1.2471,
        1.27677,
        1.27217,
        1.2206,
        1.23089,
        1.23922,
        1.22808,
        1.23264,
        1.22887,
        1.26663,
        1.16869,
        1.25236,
        1.30506,
        1.28737,
        1.19563,
        1.25293,
        1.19556,
        1.22168,
        1.2717,
        1.26393,
        1.21029,
        1.24482,
        1.2521,
        1.21539,
        1.25528,
        1.24818,
        1.217,
        1.22189,
        1.26274,
        1.27325,
        1.23623,
        1.20202,
        1.22665,
        1.23005,
        1.27814,
        1.26705,
        1.21616,
        1.19017,
        1.2453,
        1.19518,
        1.20723,
        1.21605,
        1.24753,
        1.17877,
        1.21575,
        1.25027,
        1.28947,
        1.29293,
        1.2563,
        1.19509,
        1.19479,
        1.19844,
        1.18657,
        1.21883,
        1.17937,
        1.19577,
        1.21302,
        1.21545,
        1.19228,
        1.28037,
        1.27163,
        1.2627,
        1.22118,
        1.2589,
        1.26768,
        1.25367,
        1.23743,
        1.2401,
        1.25179,
        1.27298,
        1.199,
        1.19382,
        1.27767,
        1.20876,
        1.27556,
        1.34182,
        1.28987,
        1.24449,
        1.22047,
        1.2478,
        1.27783,
        1.28362,
        1.21486,
        1.25135,
        1.23813,
        1.25653,
        1.28143,
        1.25832,
        1.29057,
        1.23142,
        1.21915,
        1.26588,
        1.24817,
        1.22529,
        1.18749,
        1.25338,
        1.18434,
        1.23833,
        1.26221,
        1.26652,
        1.24166,
        1.20446,
        1.18219,
        1.24763,
        1.27678,
        1.26117,
        1.23457,
        1.19741,
        1.21969,
        1.22954,
        1.18922,
        1.17785,
        1.17581,
        1.21729,
        1.18744,
        1.22667,
        1.19386,
        1.25427,
        1.21025,
        1.2266,
        1.2403,
        1.15855,
        1.21857,
        1.19188,
        1.20861,
        1.28118,
        1.2868,
        1.24987,
        1.224,
        1.17822,
        1.21656,
        1.2864,
        1.33918,
        1.26358,
        1.27602,
        1.23212,
        1.31659,
        1.29154,
        1.2847,
        1.1702,
        1.27113,
        1.23439,
        1.23851,
        1.20772,
        1.21476,
        1.24238,
        1.24944,
        1.27918,
        1.20239,
        1.2472,
        1.20541,
        1.15817,
        1.17542,
        1.16595,
        1.21917,
        1.26376,
        1.21408,
        1.19994,
        1.17896,
        1.16383,
        1.28229,
        1.24383,
        1.20881,
        1.2172,
        1.25984,
        1.25184,
        1.24566,
        1.26556,
        1.11372,
        1.19601,
        1.18821,
        1.17955,
        1.2121,
        1.21906,
        1.2193,
        1.19664,
        1.2236,
        1.17534,
        1.26047,
        1.25376,
        1.26795,
        1.21783,
        1.18341,
        1.3071,
        1.25522,
        1.19103,
        1.13265,
        1.18095,
        1.13469,
        1.24026,
        1.23683,
        1.21416,
        1.20514,
        1.31768,
        1.19737,
        1.26673,
        1.17115,
        1.16146,
        1.27248,
        1.28139,
        1.2883,
        1.34423,
        1.23974,
        1.28252,
        1.23368,
        1.29938,
        1.30117,
        1.19312,
        1.33953,
        1.18968,
        1.28225,
        1.22272,
        1.29216,
        1.33633,
        1.34691,
        1.11394,
        1.10509,
        1.19571,
        1.31434,
        1.33627,
        1.28323,
        1.22818,
        1.49239,
        1.4575,
        1.14328,
        1.26454,
        1.29221,
        1.57824,
        1.78626,
        1.91517,
        1.34585,
        1.39208,
        1.28372,
        1.33854,
        1.51135,
        1.39317,
        1.29585,
        1.36389,
        1.02562,
        1.26796,
        1.12492,
        1.30424,
        1.26077,
        1.23767,
        1.10154,
        1.28725,
        1.20436,
        1.37699,
        1.11604,
        1.45232,
        1.42291,
        1.65502,
        1.45582,
        1.66268,
        1.67109,
        1.63474,
        1.50039,
        1.55977,
        1.40668,
        1.39245,
        1.33771,
        1.30729,
        1.19428,
        1.18571,
        1.37998,
        1.44538,
        1.3316,
        1.35092,
        1.28432,
        1.30222,
        1.31621,
        1.22502,
        1.3377,
        1.26321,
        1.33756,
        1.33865,
        1.20178,
        1.23308,
        1.21424,
        1.25914,
        1.20598,
        1.1604,
        1.31907,
        1.29424,
        1.26541,
        1.32931,
        1.22913,
        1.26789,
        1.23753,
        1.2489,
        1.28726,
        1.40585,
        1.31408,
        1.2719,
        1.27753,
        1.19469,
        1.26365,
        1.17936,
        1.21363,
        1.35522,
        1.47383,
        1.37619,
        1.30445,
        1.2364,
        1.32988,
        1.31797,
        1.26538,
        1.25,
        1.23523,
        null,
        1.27951,
        1.25661,
        1.28286,
        1.21458,
        1.25793,
        1.26081,
        1.23207,
        1.21804,
        1.24089,
        1.28053,
        1.09838,
        1.13612,
        1.21656,
        1.21855,
        1.24851,
        1.31592,
        1.30986,
        1.26172,
        1.27297,
        1.29903,
        1.28679,
        1.21098,
        1.07888,
        1.21934,
        1.23398,
        1.28995,
        1.29777,
        1.22576,
        1.36389,
        1.24123,
        1.22973,
        1.40565,
        1.48774,
        1.28993,
        1.33572,
        1.23304,
        1.36786,
        1.28682,
        1.30689,
        1.32671,
        1.24758,
        1.19793,
        1.19713,
        1.21846,
        1.21772,
        1.43369,
        1.32968,
        1.4342,
        1.43786,
        1.35128,
        1.31915,
        1.35771,
        1.47881,
        1.40991,
        1.38596,
        1.3955,
        1.36404,
        1.20832,
        1.44036,
        1.18797,
        1.46914,
        1.68083,
        1.72315,
        2.078,
        1.62241,
        1.40725,
        1.25905,
        1.27164,
        1.50301,
        1.30748,
        1.27263,
        1.49207,
        1.38098,
        1.32878,
        1.28286,
        1.28808,
        1.09845,
        1.25493,
        1.27247,
        1.17768,
        1.2361,
        1.15924,
        1.21742,
        1.29435,
        1.2967,
        1.26349,
        1.19872,
        1.2138,
        1.13527,
        1.31459,
        1.2154,
        1.30649,
        1.44729,
        1.17587,
        1.18304,
        1.24618,
        1.24786,
        1.32607,
        1.29895,
        1.31819,
        1.22462,
        1.18697,
        1.1833,
        1.2381,
        1.2721,
        1.2729,
        1.28128,
        1.37332,
        1.27733,
        1.29867,
        1.24444,
        1.23482,
        1.2623,
        1.3334,
        1.31985,
        1.26862,
        1.32015,
        1.27156,
        1.31262,
        1.22014,
        1.27257,
        1.33353,
        1.21174,
        1.23068,
        1.24921,
        1.28237,
        1.23153,
        1.25674,
        1.17512,
        1.22314,
        1.17699,
        1.38285,
        1.24998,
        1.21158,
        1.19577,
        1.23319,
        1.19892,
        1.18092,
        1.21341,
        1.25201,
        1.27979,
        1.27763,
        1.19234,
        1.24666,
        1.25937,
        1.24218,
        1.28236,
        1.21446,
        1.21379,
        1.33185,
        1.25687,
        1.2215,
        1.24696,
        1.25192,
        1.28441,
        1.25782,
        1.24822,
        1.21364,
        1.13322,
        1.1616,
        1.27885,
        1.19615,
        1.3022,
        1.31883,
        1.16051,
        1.22732,
        1.24312,
        1.21806,
        1.321,
        1.30116,
        1.31887,
        1.21757,
        1.32809,
        1.28794,
        1.31096,
        1.29383,
        1.25913,
        1.29065,
        1.22189,
        1.25816,
        1.23897,
        1.29308,
        1.19759,
        1.19222,
        1.30488,
        1.29472,
        1.20856,
        1.1825,
        1.30899,
        1.28982,
        1.15947,
        1.16889,
        1.13689,
        1.18718,
        1.21906,
        1.22452,
        1.18472,
        1.22445,
        1.24669,
        1.19459,
        1.21773,
        1.16246,
        1.27354,
        1.29655,
        1.28299,
        1.22112,
        1.21966,
        1.25178,
        1.21966,
        1.23185,
        1.27986,
        1.32756,
        1.27928,
        1.22231,
        1.32166,
        1.24142,
        1.24332,
        1.20256,
        1.24626,
        1.34113,
        1.31642,
        1.15085,
        1.29258,
        1.24448,
        1.2111,
        1.26338,
        1.31467,
        1.27935,
        1.29701,
        1.27355,
        1.28563,
        1.23837,
        1.3158,
        1.27512,
        1.24477,
        1.20833,
        1.2196,
        1.21111,
        1.23655,
        1.22605,
        1.21921,
        1.202,
        1.24699,
        1.22936,
        1.28731,
        1.26495,
        1.2129,
        1.28959,
        1.1963,
        1.26037,
        1.23921,
        1.25347,
        1.20826,
        1.35629,
        1.26102,
        1.29605,
        1.28746,
        1.27533,
        1.32468,
        1.23168,
        1.17799,
        1.24749,
        1.24436,
        1.18322,
        1.29441,
        1.22531,
        1.24313,
        1.26004,
        1.3592,
        1.28505,
        1.27586,
        1.23394,
        1.21031,
        1.19295,
        1.24242,
        1.28079,
        1.31374,
        1.23704,
        1.27096,
        1.35563,
        1.25174,
        1.20963,
        1.2646,
        1.15608,
        1.25626,
        1.21652,
        1.26245,
        1.27194,
        1.28632,
        1.31117,
        1.30883,
        1.36975,
        1.29374,
        1.27233,
        1.33831,
        1.2364,
        1.26467,
        1.28769,
        1.25495,
        1.28367,
        1.34315,
        1.22781,
        1.2321,
        1.24517,
        1.34156,
        1.24079,
        1.33481,
        1.27478,
        1.31589,
        1.25411,
        1.21234,
        1.1459,
        1.20078,
        1.25428,
        1.22362,
        1.19635,
        1.25854,
        1.25816,
        1.33554,
        1.23467,
        1.23244,
        1.34185,
        1.22594,
        1.2486,
        1.31071,
        1.29347,
        1.24451,
        1.27525,
        1.34422,
        1.27141,
        1.24471,
        1.317,
        1.25123,
        1.26933,
        1.35844,
        1.3347,
        1.25228,
        1.40444,
        1.33419,
        1.25508,
        1.26768,
        1.25703,
        1.27645,
        1.32115,
        1.39597,
        1.34979,
        1.28361,
        1.33529,
        1.33726,
        1.29173,
        1.31848,
        1.27837,
        1.30819,
        1.3317,
        1.23976,
        1.22743,
        1.28418,
        1.2185,
        1.2175,
        1.2647,
        1.31293,
        1.3047,
        1.12554,
        1.18428,
        1.27888,
        1.35216,
        1.3055,
        1.28722,
        1.33057,
        1.21243,
        1.28325,
        1.32955,
        1.26429,
        1.24954,
        1.22815,
        1.28614,
        1.19143,
        1.28755,
        1.1933,
        1.18235,
        1.12262,
        1.25774,
        1.27153,
        1.24742,
        1.26967,
        1.25543,
        1.25351,
        1.22549,
        1.13671,
        1.23149,
        1.32507,
        1.39969,
        1.30008,
        1.30477,
        1.25462,
        1.29912,
        1.34203,
        1.14223,
        1.35408,
        1.38041,
        1.25769,
        1.23438,
        1.30534,
        1.20702,
        1.33159,
        1.32087,
        1.3879,
        1.37689,
        1.30482,
        1.26979,
        1.26682,
        1.34388,
        1.27908,
        1.25895,
        1.30994,
        1.27137,
        1.21685,
        1.25048,
        1.26827,
        1.35163,
        1.24035,
        1.23281,
        1.30174,
        1.28679,
        1.41407,
        1.34805,
        1.2677,
        1.23635,
        1.24314,
        1.33229,
        1.33078,
        1.32583,
        1.43213,
        1.40287,
        1.28868,
        1.23568,
        1.52546,
        1.39941,
        1.2124,
        1.1173,
        1.29383,
        1.42509,
        1.39482,
        1.23285,
        1.46002,
        1.27758,
        1.28875,
        1.12008,
        1.40058,
        1.36046,
        1.39067,
        1.2463,
        1.2431,
        1.66418,
        1.41535,
        1.06697,
        1.30109,
        1.49699,
        1.4368,
        1.42712,
        1.6741,
        2.15852,
        1.38071,
        1.49303,
        1.21088,
        1.2512,
        1.68548,
        1.63617,
        1.29795,
        1.34034,
        1.21124,
        1.25735,
        1.3916,
        1.16707,
        1.40268,
        1.45084,
        1.5427,
        1.6252,
        1.19603,
        1.53256,
        1.53124,
        1.35362,
        1.32348,
        1.30946,
        1.46346,
        1.59933,
        1.35409,
        1.84411,
        1.55478,
        1.59886,
        1.49482,
        1.58097,
        1.60949,
        1.4204,
        1.11982,
        1.30242,
        1.69111,
        1.51101,
        1.36224,
        1.64878,
        1.31051,
        1.0136,
        0.947125,
        1.35229,
        1.48154,
        1.2705,
        1.39183,
        1.44963,
        1.25717,
        1.27832,
        1.40881,
        1.26558,
        1.26625,
        1.39301,
        1.43501,
        1.35308,
        1.31351,
        1.24042,
        1.34701,
        1.34231,
        1.28484,
        1.36883,
        1.32122,
        1.29462,
        1.28584,
        1.20945,
        1.41806,
        1.34133,
        1.28971,
        1.20428,
        1.38922,
        1.30345,
        1.40824,
        1.4694,
        1.43245,
        1.24746,
        1.32741,
        1.2519,
        1.33874,
        1.2202,
        1.20534,
        1.45677,
        1.23376,
        1.2359,
        1.48799,
        1.4752,
        1.30384,
        1.36885,
        1.62022,
        1.45711,
        1.49102,
        1.31909,
        1.18689,
        1.36544,
        1.26578,
        1.51154,
        1.28777,
        1.36408,
        1.37965,
        1.36545,
        1.4407,
        1.23629,
        1.4241,
        1.21065,
        1.19153,
        1.38503,
        1.44747,
        1.32426,
        1.14854,
        1.14985,
        1.17727,
        1.23723,
        1.53112,
        1.37852,
        1.3316,
        1.28678,
        1.21233,
        1.44561,
        1.37183,
        1.47934,
        1.44465,
        1.31068,
        1.93449,
        1.38581,
        1.42045,
        null,
        1.74652,
        1.52183,
        1.59574,
        1.44195,
        1.22021,
        1.22174,
        1.46947,
        1.55721,
        1.37622,
        1.45119,
        1.41122,
        1.27368,
        1.18576,
        1.17796,
        1.40047,
        1.63294,
        1.4392,
        1.42961,
        1.52198,
        1.44349,
        1.36871,
        1.48573,
        1.43673,
        1.33946,
        1.21139,
        1.36912,
        1.51321,
        1.41245,
        1.41706,
        1.26988,
        1.31931,
        1.51364,
        1.49876,
        1.31752,
        1.30921,
        1.2668,
        1.44801,
        1.33115,
        1.25728,
        1.29003,
        1.34024,
        1.29609,
        1.30711,
        1.39705,
        1.42347,
        1.41439,
        1.34613,
        1.40168,
        1.28592,
        1.38075,
        1.23696,
        1.36505,
        1.21164,
        1.29345,
        1.38281,
        1.4143,
        1.3718,
        1.29599,
        1.32819,
        1.24088,
        1.24203,
        1.30395,
        1.32293,
        1.37204,
        1.28912,
        1.25919,
        1.26537,
        1.19564,
        1.23591,
        1.31497,
        1.2022,
        1.28449,
        1.33229,
        1.36808,
        1.27118,
        1.34931,
        1.3182,
        1.31341,
        1.28762,
        1.33012,
        1.31619,
        1.26293,
        1.26416,
        1.25757,
        1.3143,
        1.22934,
        1.23939,
        1.35683,
        1.28382,
        1.31468,
        1.38821,
        1.36522,
        1.33886,
        1.20737,
        1.2401,
        1.26228,
        1.24402,
        1.29699,
        1.26066,
        1.29605,
        1.23519,
        1.29949,
        1.19879,
        1.18158,
        1.3133,
        1.38596,
        1.31522,
        1.30534,
        1.31662,
        1.30939,
        1.32494,
        1.25402,
        1.27628,
        1.29117,
        1.29511,
        1.2881,
        1.32838,
        1.29566,
        1.30309,
        1.33509,
        1.26167,
        1.24085,
        1.28985,
        1.26844,
        1.28512,
        1.24986,
        1.22716,
        1.25463,
        1.28004,
        1.30672,
        1.21067,
        1.28728,
        1.23629,
        1.27266,
        1.27912,
        1.33695,
        1.24795,
        1.33506,
        1.3532,
        1.31828,
        1.29244,
        1.33426,
        1.26652,
        1.36668,
        1.24734,
        1.22918,
        1.32299,
        1.33602,
        1.28734,
        1.2991,
        1.27289,
        1.1991,
        1.27072,
        1.20079,
        1.21048,
        1.35824,
        1.25999,
        1.20999,
        1.24593,
        1.36864,
        1.29856,
        1.31804,
        1.35482,
        1.28519,
        1.31407,
        1.30192,
        1.31098,
        1.27671,
        1.24068,
        1.31528,
        1.25176,
        1.32451,
        1.28794,
        1.32279,
        1.30543,
        1.20801,
        1.28736,
        1.36507,
        1.24157,
        1.23066,
        1.21704,
        1.20472,
        1.27118,
        1.21082,
        1.22566,
        1.28905,
        1.28853,
        1.22122,
        1.29067,
        1.32191,
        1.24663,
        1.23307,
        1.24269,
        1.20361,
        1.22739,
        1.24274,
        1.2614,
        1.19165,
        1.19979,
        1.23542,
        1.23993,
        1.26189,
        1.27419,
        1.20643,
        1.29192,
        1.29577,
        1.28276,
        1.21904,
        1.23915,
        1.2116,
        1.23592,
        1.28766,
        1.28107,
        1.31211,
        1.36952,
        1.28196,
        1.2412,
        1.21963,
        1.25606,
        1.28533,
        1.2405,
        1.2614,
        1.31388,
        1.23665,
        1.26892,
        1.18921,
        1.21935,
        1.28743,
        1.28003,
        1.34309,
        1.28589,
        1.25034,
        1.2939,
        1.25714,
        1.33543,
        1.22565,
        1.23913,
        1.30218,
        1.26818,
        1.22515,
        1.2322,
        1.26811,
        1.19195,
        1.18479,
        1.27708,
        1.25922,
        1.24749,
        1.25906,
        1.29352,
        1.30397,
        1.3133,
        1.29372,
        1.27912,
        1.29733,
        1.24304,
        1.18449,
        1.26917,
        1.30811,
        1.27046,
        1.2246,
        1.24941,
        1.21003,
        1.21245,
        1.18609,
        1.20707,
        1.2627,
        1.27145,
        1.23696,
        1.16257,
        1.26175,
        1.23984,
        1.24289,
        1.24338,
        1.26684,
        1.27775,
        1.26958,
        1.36592,
        1.35382,
        1.34557,
        1.25721,
        1.26786,
        1.30921,
        1.26041,
        1.25883,
        1.24801,
        1.29961,
        1.25232,
        1.27729,
        1.29804,
        1.25964,
        1.25252,
        1.28091,
        1.28419,
        1.29429,
        1.32076,
        1.32167,
        1.30593,
        1.3143,
        1.32597,
        1.32005,
        1.27494,
        1.28268,
        1.23122,
        1.28702,
        1.24644,
        1.27637,
        1.28903,
        1.31693,
        1.25959,
        1.30322,
        1.24892,
        1.22825,
        1.27263,
        1.29541,
        1.30048,
        1.32986,
        1.30334,
        1.23156,
        1.26685,
        1.23665,
        1.23618,
        1.2914,
        1.30971,
        1.25416,
        1.27519,
        1.25336,
        1.27117,
        1.30094,
        1.24326,
        1.33004,
        1.31375,
        1.25656,
        1.28008,
        1.29642,
        1.32468,
        1.36807,
        1.22758,
        1.29704,
        1.3276,
        1.31579,
        1.26128,
        1.32208,
        1.29777,
        1.24587,
        1.23668,
        1.28523,
        1.31168,
        1.28811,
        1.33773,
        1.2989,
        1.36519,
        1.32723,
        1.29256,
        1.34145,
        1.30458,
        1.22102,
        1.28217,
        1.33121,
        1.31653,
        1.33995,
        1.29393,
        1.3535,
        1.32433,
        1.26341,
        1.28046,
        1.24183,
        1.2456,
        1.26873,
        1.28871,
        1.26866,
        1.28611,
        1.27229,
        1.27584,
        1.27033,
        1.30308,
        1.31741,
        1.24959,
        1.25429,
        1.2275,
        1.31388,
        1.262,
        1.28345,
        1.26972,
        1.28487,
        1.2596,
        1.31349,
        1.27442,
        1.27366,
        1.25936,
        1.27172,
        1.27563,
        1.37738,
        1.28778,
        1.3437,
        1.26536,
        1.2548,
        1.25328,
        1.27649,
        1.25839,
        1.2731,
        1.22367,
        1.27578,
        1.2741,
        1.25436,
        1.20619,
        1.23816,
        1.27027,
        1.24353,
        1.27506,
        1.2721,
        1.28455,
        1.30131,
        1.36122,
        1.27196,
        1.22832,
        1.28194,
        1.37866,
        1.38616,
        1.28016,
        1.32134,
        1.2397,
        1.251,
        1.3046,
        1.31868,
        1.29164,
        1.3002,
        1.31908,
        1.30213,
        1.26718,
        1.27731,
        1.25907,
        1.29701,
        1.25356,
        1.29558,
        1.24284,
        1.26484,
        1.28497,
        1.28195,
        1.2868,
        1.24018,
        1.28731,
        1.30842,
        1.25198,
        1.2575,
        1.30608,
        1.29662,
        1.25227,
        1.22469,
        1.2202,
        1.257,
        1.2121,
        1.24536,
        1.26783,
        1.19273,
        1.23529,
        1.30262,
        1.21578,
        1.33905,
        1.33906,
        1.28805,
        1.25915,
        1.31564,
        1.22667,
        1.22583,
        1.26248,
        1.24853,
        1.29743,
        1.34025,
        1.31172,
        1.33046,
        1.31481,
        1.26599,
        1.31159,
        1.27894,
        1.30248,
        1.30478,
        1.27802,
        1.30428,
        1.26187,
        1.2513,
        1.23486,
        1.30699,
        1.34004,
        1.31945,
        1.28811,
        1.32321,
        1.36992,
        1.25802,
        1.28337,
        1.31401,
        1.30783,
        1.32501,
        1.31272,
        1.27493,
        1.26906,
        1.38213,
        1.33366,
        1.32029,
        1.2864,
        1.36416,
        1.33597,
        1.30285,
        1.25714,
        1.29129,
        1.32346,
        1.30548,
        1.27829,
        1.25258,
        1.25297,
        1.32585,
        1.29188,
        1.29669,
        1.2146,
        1.31539,
        1.30141,
        1.28489,
        1.2626,
        1.32666,
        1.26245,
        1.29072,
        1.3245,
        1.30939,
        1.31397,
        1.36433,
        1.2899,
        1.27366,
        1.34106,
        1.28822,
        1.26116,
        1.33498,
        1.32437,
        1.32249,
        1.35273,
        1.34473,
        1.35418,
        1.29946,
        1.31993,
        1.32587,
        1.30255,
        1.30117,
        1.29759,
        1.28606,
        1.30437,
        1.3097,
        1.31988,
        1.33143,
        1.36681,
        1.32954,
        1.29169,
        1.2912,
        1.30673,
        1.27525,
        1.23497,
        1.22922,
        1.2391,
        1.33931,
        1.26806,
        1.22561,
        1.31006,
        1.28589,
        1.31137,
        1.28394,
        1.29128,
        1.27437,
        1.23868,
        1.2702,
        1.25546,
        1.28095,
        1.28143,
        1.3021,
        1.22694,
        1.25982,
        1.30587,
        1.22775,
        1.28381,
        1.3241,
        1.28945,
        1.25947,
        1.29231,
        1.29095,
        1.2221,
        1.288,
        1.31964,
        1.24188,
        1.27649,
        1.24469,
        1.30038,
        1.34078,
        1.28796,
        1.2669,
        1.28252,
        1.29438,
        1.21364,
        1.3171,
        1.30106,
        1.26239,
        1.28444,
        1.35754,
        1.33119,
        1.31926,
        1.32039,
        1.30096,
        1.32767,
        1.30283,
        1.29165,
        1.34403,
        1.32058,
        1.26891,
        1.25258,
        1.34177,
        1.29757,
        1.2996,
        1.28902,
        1.2359,
        1.27697,
        1.30799,
        1.21577,
        1.18071,
        1.27538,
        1.31221,
        1.24311,
        1.31659,
        1.26663,
        1.26861,
        1.34816,
        1.29349,
        1.30153,
        1.32232,
        1.31904,
        1.30052,
        1.30135,
        1.29554,
        1.30564,
        1.27667,
        1.30396,
        1.30552,
        1.3423,
        1.24225,
        1.23145,
        1.26051,
        1.24327,
        1.31203,
        1.30755,
        1.29004,
        1.30845,
        1.20753,
        1.19133,
        1.30109,
        1.32914,
        1.23678,
        1.25263,
        1.25669,
        1.26583,
        1.30861,
        1.26507,
        1.30593,
        1.34236,
        1.26585,
        1.2936,
        1.25124,
        1.27684,
        1.2382,
        1.28909,
        1.25599,
        1.35464,
        1.33454,
        1.25617,
        1.21157,
        1.25418,
        1.32568,
        1.32772,
        1.25602,
        1.29456,
        1.30979,
        1.29132,
        1.32294,
        1.32357,
        1.28867,
        1.28737,
        1.30074,
        1.31187,
        1.30192,
        1.27396,
        1.27852,
        1.29007,
        1.29876,
        1.33448,
        1.31719,
        1.30819,
        1.28143,
        1.28995,
        1.25355,
        1.31077,
        1.24533,
        1.26883,
        1.31652,
        1.26966,
        1.31036,
        1.21368,
        1.21235,
        1.26462,
        1.30514,
        1.28321,
        1.26016,
        1.2865,
        1.37225,
        1.31881,
        1.28802,
        1.26369,
        1.27709,
        1.23245,
        1.29058,
        1.26769,
        1.32237,
        1.32284,
        1.32201,
        1.24219,
        1.22801,
        1.2454,
        1.24616,
        1.24729,
        1.28739,
        1.29177,
        1.3143,
        1.31553,
        1.28132,
        1.2572,
        1.28854,
        1.31867,
        1.29028,
        1.25601,
        1.28804,
        1.23299,
        1.35592,
        1.31606,
        1.28591,
        1.26236,
        1.31934,
        1.28653,
        1.3019,
        1.31641,
        1.25476,
        1.26196,
        1.29834,
        1.30161,
        1.30913,
        1.32984,
        1.32566,
        1.29431,
        1.33565,
        1.31121,
        1.22496,
        1.33379,
        1.32138,
        1.25387,
        1.24409,
        1.29531,
        1.34853,
        1.24663,
        1.3204,
        1.38509,
        1.38356,
        1.33361,
        1.23846,
        1.22476,
        1.2635,
        1.26354,
        1.31541,
        1.22354,
        1.28358,
        1.30729,
        1.26447,
        1.28639,
        1.30449,
        1.29167,
        1.2994,
        1.24243,
        1.20688,
        1.33974,
        1.30667,
        1.31467,
        1.26041,
        1.32223,
        1.27397,
        1.25986,
        1.30649,
        1.35903,
        1.33654,
        1.31091,
        1.37767,
        1.2925,
        1.32829,
        1.2515,
        1.27765,
        1.2497,
        1.34157,
        1.35117,
        1.25379,
        1.23512,
        1.35188,
        1.35209,
        1.41836,
        1.50039,
        1.47399,
        1.45902,
        1.32517,
        1.36141,
        1.34573,
        1.4081,
        1.36906,
        1.31435,
        1.41331,
        1.23284,
        1.40537,
        1.39038,
        1.36228,
        1.41072,
        1.38809,
        1.34021,
        1.21521,
        1.37161,
        1.35095,
        1.31357,
        1.28294,
        1.47983,
        1.44288,
        1.32101,
        2.39188,
        1.6617,
        1.82778,
        1.53467,
        1.61469,
        1.52712,
        1.30898,
        1.41031,
        1.43868,
        1.23384,
        1.3548,
        1.46583,
        1.29,
        1.31249,
        1.32404,
        1.53435,
        1.40157,
        1.30611,
        1.37368,
        1.32139,
        1.32811,
        1.31235,
        1.19074,
        1.25462,
        1.3127,
        1.28314,
        1.40533,
        1.25581,
        1.29089,
        1.319,
        1.39451,
        1.36718,
        1.27467,
        1.18836,
        1.2763,
        1.33626,
        1.2635,
        1.23636,
        1.28318,
        1.30559,
        1.2533,
        1.27038,
        1.42485,
        1.30544,
        1.33416,
        1.2029,
        1.23034,
        1.2128,
        1.28579,
        1.25156,
        1.32883,
        1.29032,
        1.25907,
        1.37823,
        1.17502,
        1.27752,
        1.36395,
        1.31689,
        1.16643,
        1.23528,
        1.25191,
        1.29118,
        1.27552,
        1.33509,
        1.28748,
        1.27254,
        1.30319,
        1.30356,
        1.31332,
        1.27862,
        1.25659,
        1.2552,
        1.25446,
        1.36125,
        1.24629,
        1.29278,
        1.31528,
        1.27333,
        1.35659,
        1.26346,
        1.28935,
        1.22947,
        1.3198,
        1.27136,
        1.23736,
        1.20237,
        1.33717,
        1.24695,
        1.30002,
        1.29592,
        1.3275,
        1.30738,
        1.32346,
        1.26284,
        1.25107,
        1.38792,
        1.34979,
        1.33933,
        1.2933,
        1.2365,
        1.30668,
        1.31073,
        1.24422,
        1.27872,
        1.3331,
        1.19023,
        1.22437,
        1.26978,
        1.29873,
        1.29097,
        1.18316,
        1.26262,
        1.27649,
        1.34675,
        1.32313,
        1.321,
        1.28596,
        1.20576,
        1.14088,
        1.24213,
        1.25986,
        1.24879,
        1.2474,
        1.14642,
        1.2662,
        1.32707,
        1.36396,
        1.31499,
        1.27565,
        1.3726,
        1.25909,
        1.19082,
        1.2749,
        1.29063,
        1.24418,
        1.2884,
        1.28322,
        1.33832,
        1.39044,
        1.43724,
        1.3477,
        1.28344,
        1.20124,
        1.24436,
        1.2325,
        1.07505,
        1.10001,
        1.20994,
        1.28379,
        1.34631,
        1.33801,
        1.35515,
        1.24968,
        1.3166,
        1.39106,
        1.22967,
        1.32929,
        1.34377,
        1.23005,
        1.1227,
        1.24928,
        1.64162,
        1.35779,
        1.33186,
        1.65597,
        1.27452,
        1.05536,
        1.08523,
        1.31691,
        1.31398,
        1.26513,
        1.51295,
        1.41269,
        1.61649,
        1.4517,
        1.77284,
        1.64073,
        1.5577,
        1.63206,
        1.33246,
        1.35537,
        1.3781,
        1.41456,
        1.34643,
        1.24989,
        1.50818,
        1.46907,
        1.30997,
        1.30774,
        1.4638,
        1.39067,
        1.22339,
        1.36665,
        1.32695,
        1.31365,
        1.32273,
        1.33518,
        1.31267,
        1.33754,
        1.31384,
        1.36119,
        1.41826,
        1.30758,
        1.20569,
        1.35521,
        1.33066,
        1.25477,
        1.19093,
        1.33003,
        1.31045,
        1.21971,
        1.30609,
        1.3231,
        1.17616,
        1.21888,
        1.24431,
        1.3912,
        1.39382,
        1.33438,
        1.33378,
        1.33474,
        1.25509,
        1.32607,
        1.29133,
        1.22332,
        1.33374,
        1.23674,
        1.26614,
        1.27191,
        1.27354,
        1.31494,
        1.26009,
        1.23726,
        1.29217,
        1.25896,
        1.29025,
        1.28325,
        1.36652,
        1.32756,
        1.27566,
        1.24783,
        1.33022,
        1.32621,
        1.2838,
        1.32062,
        1.29545,
        1.22281,
        1.22879,
        1.27496,
        1.23545,
        1.33458,
        1.34808,
        1.36256,
        1.30613,
        1.26795,
        1.24193,
        1.28918,
        1.30795,
        1.34368,
        1.24845,
        1.24559,
        1.29166,
        1.22513,
        1.27885,
        1.30931,
        1.31603,
        1.29516,
        1.30009,
        null,
        1.31967,
        1.30477,
        1.33611,
        1.31195,
        1.28669,
        1.34346,
        1.33007,
        1.31916,
        1.34331,
        1.37253,
        1.34552,
        1.30573,
        1.3271,
        1.33098,
        1.26079,
        1.28118,
        1.30525,
        1.30745,
        1.24338,
        1.27897,
        1.28587,
        1.32302,
        1.31613,
        1.32953,
        1.28147,
        1.28197,
        1.2401,
        1.28982,
        1.29165,
        1.2575,
        1.25537,
        1.23852,
        1.21563,
        1.20467,
        1.25243,
        1.27036,
        1.26975,
        1.29451,
        1.2997,
        1.23026,
        1.17162,
        1.26757,
        1.2287,
        1.30428,
        1.2682,
        1.30948,
        1.33568,
        1.35177,
        1.30021,
        1.29295,
        1.26736,
        1.26542,
        1.33489,
        1.33172,
        1.33623,
        1.36309,
        1.36152,
        1.31925,
        1.27866,
        1.31947,
        1.28041,
        1.26352,
        1.34057,
        1.36538,
        1.33894,
        1.25677,
        1.2123,
        1.24037,
        1.28117,
        1.34679,
        1.32825,
        1.34843,
        1.37422,
        1.32048,
        1.27564,
        1.27074,
        1.26853,
        1.25843,
        1.24937,
        1.2336,
        1.24493,
        1.25655,
        1.29242,
        1.33661,
        1.27822,
        1.2548,
        1.35304,
        1.25573,
        1.23708,
        1.26361,
        1.28626,
        1.45198,
        1.32226,
        1.23639,
        1.35405,
        1.21665,
        1.2624,
        1.25963,
        1.25434,
        1.37462,
        1.33002,
        1.36485,
        1.29549,
        1.21376,
        1.23859,
        1.25579,
        1.23633,
        1.22507,
        1.37239,
        1.28263,
        1.34584,
        1.32142,
        1.27336,
        1.27873,
        1.32898,
        1.28728,
        1.43333,
        1.31015,
        1.28173,
        1.24307,
        1.32932,
        1.41752,
        1.35732,
        1.41096,
        1.26249,
        1.26521,
        1.23134,
        1.28183,
        1.35527,
        1.2999,
        1.26171,
        1.28574,
        1.35325,
        1.30661,
        1.28796,
        1.33249,
        1.31205,
        1.33126,
        1.22671,
        1.2418,
        1.30998,
        1.32792,
        1.23869,
        1.26648,
        1.28235,
        1.32584,
        1.28602,
        1.29099,
        1.31226,
        1.28699,
        1.33673,
        1.21166,
        1.25053,
        1.33147,
        1.24489,
        1.24641,
        1.24889,
        1.30943,
        1.30922,
        1.32782,
        1.34485,
        1.2848,
        1.29006,
        1.15674,
        1.25784,
        1.28041,
        1.28801,
        1.31942,
        1.29264,
        1.22549,
        1.27851,
        1.27336,
        1.29662,
        1.25059,
        1.33137,
        1.27712,
        1.29665,
        1.40677,
        1.29376,
        1.25112,
        1.3174,
        1.25509,
        1.32475,
        1.35909,
        1.274,
        1.29724,
        1.32974,
        1.30618,
        1.30054,
        1.29768,
        1.2807,
        1.22346,
        1.31555,
        1.43491,
        1.34872,
        1.28447,
        1.28882,
        1.32391,
        1.24996,
        1.33088,
        1.33907,
        1.33142,
        1.36591,
        1.31217,
        1.24091,
        1.26619,
        1.32524,
        1.34455,
        1.29477,
        1.17891,
        1.24448,
        1.30414,
        1.22676,
        1.2482,
        1.28171,
        1.29732,
        1.25144,
        1.25216,
        1.28831,
        1.23748,
        1.23962,
        1.27999,
        1.3132,
        1.29415,
        1.28429,
        1.32786,
        1.34185,
        1.29039,
        1.30681,
        1.30765,
        1.25471,
        1.29731,
        1.22182,
        1.31025,
        1.35077,
        1.38364,
        1.24947,
        1.28096,
        1.21044,
        1.35944,
        1.24304,
        1.30975,
        1.36458,
        1.40072,
        1.26329,
        1.31079,
        1.2609,
        1.28607,
        1.32395,
        1.3086,
        1.34164,
        1.3165,
        1.30352,
        1.27552,
        1.33555,
        1.25736,
        1.30365,
        1.33261,
        1.29919,
        1.29969,
        1.22472,
        1.29529,
        1.24095,
        1.28216,
        1.24744,
        1.24377,
        1.28766,
        1.23095,
        1.22423,
        1.3187,
        1.28638,
        1.19682,
        1.29091,
        1.23036,
        1.25688,
        1.29077,
        1.31344,
        1.31379,
        1.18011,
        1.20559,
        1.30774,
        1.33157,
        1.32979,
        1.26909,
        1.26207,
        1.28359,
        1.29675,
        1.29326,
        1.28288,
        1.3123,
        1.26139,
        1.31837,
        1.29857,
        1.26539,
        1.30446,
        1.2747,
        1.33196,
        1.26859,
        1.33044,
        1.2553,
        1.22693,
        1.17903,
        1.21624,
        1.31817,
        1.30168,
        1.32269,
        1.33014,
        1.26591,
        1.37245,
        1.35177,
        1.27324,
        1.30457,
        1.28526,
        1.33957,
        1.35382,
        1.30554,
        1.32362,
        1.25741,
        1.32476,
        1.28535,
        1.2438,
        1.31532,
        1.20928,
        1.31409,
        1.28218,
        1.296,
        1.28296,
        1.32659,
        1.26204,
        1.28173,
        1.23868,
        1.25022,
        1.24886,
        1.28177,
        1.32061,
        1.2506,
        1.30392,
        1.2435,
        1.2969,
        1.23791,
        1.29097,
        1.30165,
        1.27113,
        1.20005,
        1.18795,
        1.20577,
        1.27349,
        1.21913,
        1.31034,
        1.35646,
        1.30947,
        1.33393,
        1.19258,
        1.33189,
        1.28648,
        1.31393,
        1.29198,
        1.30835,
        1.31372,
        1.31308,
        1.30432,
        1.34018,
        1.31382,
        1.33549,
        1.3198,
        1.28755,
        1.35885,
        1.28931,
        1.27614,
        1.2653,
        1.33149,
        1.2267,
        1.36062,
        1.32523,
        1.25823,
        1.31223,
        1.25307,
        1.21584,
        1.27668,
        1.35456,
        1.34716,
        1.27176,
        1.19725,
        1.3036,
        1.31335,
        1.33971,
        1.32329,
        1.28176,
        1.26077,
        1.37144,
        1.33404,
        1.2474,
        1.31846,
        1.29053,
        1.3104,
        1.29121,
        1.28954,
        1.33319,
        1.38244,
        1.31914,
        1.26992,
        1.33005,
        1.32251,
        1.28878,
        1.29085,
        1.31413,
        1.26453,
        1.35216,
        1.36291,
        1.29684,
        1.31402,
        1.25312,
        1.24086,
        1.25628,
        1.33798,
        1.4066,
        1.35526,
        1.30278,
        1.36055,
        1.43838,
        1.35105,
        1.31963,
        1.27067,
        1.37723,
        1.34784,
        1.32025,
        1.35288,
        1.27461,
        1.22407,
        1.30439,
        1.32304,
        1.38536,
        1.40938,
        1.39311,
        1.43188,
        1.31871,
        1.32487,
        1.31702,
        1.34259,
        1.28127,
        1.38984,
        1.32449,
        1.32357,
        1.34708,
        1.34124,
        1.29148,
        1.26745,
        1.31833,
        1.39506,
        1.43089,
        1.29212,
        1.31206,
        1.32095,
        1.24209,
        1.21832,
        1.22418,
        1.26056,
        1.36974,
        1.20727,
        1.19917,
        1.24268,
        1.27515,
        1.26546,
        1.35604,
        1.32819,
        1.36577,
        1.3259,
        1.24768,
        1.27777,
        1.31237,
        1.2547,
        1.25003,
        1.3249,
        1.35513,
        1.40257,
        1.40386,
        1.38822,
        1.3436,
        1.40691,
        1.35783,
        1.40649,
        1.37181,
        1.31911,
        1.29003,
        1.29628,
        1.26443,
        1.29988,
        1.3826,
        1.33863,
        1.25354,
        1.30074,
        1.30525,
        1.36717,
        1.20686,
        1.33347,
        1.38714,
        1.32697,
        1.37502,
        1.39937,
        1.36683,
        1.38182,
        1.36945,
        1.30975,
        1.32499,
        1.35395,
        1.37883,
        1.36728,
        1.32908,
        1.32681,
        1.31753,
        1.3452,
        1.31999,
        1.26815,
        1.29834,
        1.259,
        1.41109,
        1.38127,
        1.3401,
        1.29746,
        1.27226,
        1.42124,
        1.42844,
        1.35995,
        1.29882,
        1.26016,
        1.3628,
        1.37523,
        1.31571,
        1.28162,
        1.25899,
        1.28686,
        1.39234,
        1.34678,
        1.3621,
        1.46736,
        1.2306,
        1.24691,
        1.31873,
        1.32879,
        1.42125,
        1.35092,
        1.33012,
        1.36538,
        1.30548,
        1.33487,
        1.27515,
        1.39844,
        1.41896,
        1.23153,
        1.38227,
        1.38425,
        1.35217,
        1.28533,
        1.27915,
        1.34615,
        1.38599,
        1.2428,
        1.21655,
        1.31249,
        1.3122,
        1.33374,
        1.28066,
        1.37558,
        1.52026,
        1.31886,
        1.39087,
        1.27885,
        1.3228,
        1.55378,
        1.59966,
        1.34982,
        1.5872,
        1.40621,
        1.42804,
        1.38789,
        1.27393,
        1.48395,
        1.5816,
        1.33579,
        1.45171,
        1.48995,
        1.88338,
        1.84176,
        1.28845,
        1.11504,
        1.21044,
        1.25943,
        1.56544,
        1.36189,
        1.44346,
        1.57891,
        1.42205,
        1.43825,
        1.34954,
        1.20017,
        1.40653,
        1.31205,
        1.34448,
        1.28385,
        1.20801,
        1.20498,
        1.27205,
        1.25987,
        1.21353,
        1.36811,
        1.31053,
        1.30253,
        1.21171,
        1.36614,
        1.43239,
        1.41949,
        1.3464,
        1.29422,
        1.32015,
        1.35728,
        1.40134,
        1.38484,
        1.26704,
        1.37878,
        1.40545,
        1.26475,
        1.38156,
        1.40021,
        1.30157,
        1.3519,
        1.29549,
        1.34517,
        1.36163,
        1.30306,
        1.27475,
        1.37162,
        1.39095,
        1.23878,
        1.32456,
        1.28252,
        1.35262,
        1.29431,
        1.26553,
        1.32185,
        1.23929,
        1.29039,
        1.25646,
        1.2802,
        1.28226,
        1.29062,
        1.23485,
        1.28123,
        1.27085,
        1.25046,
        1.33835,
        1.38131,
        1.28508,
        1.31286,
        1.33818,
        1.23889,
        1.23477,
        1.27811,
        1.32434,
        1.28941,
        1.32591,
        1.3059,
        1.2712,
        1.29778,
        1.31112,
        1.31364,
        1.32011,
        1.30255,
        1.30218,
        1.26072,
        1.24934,
        1.26004,
        1.3339,
        1.30315,
        1.3575,
        1.30555,
        1.26162,
        1.30451,
        1.33014,
        1.31942,
        1.3182,
        1.33607,
        1.32311,
        1.29649,
        1.27509,
        1.28468,
        1.36306,
        1.35626,
        1.3033,
        1.38248,
        1.2739,
        1.33211,
        1.34111,
        1.3792,
        1.3824,
        1.39568,
        1.30783,
        1.33146,
        1.24869,
        1.26755,
        1.32943,
        1.345,
        1.26318,
        1.21263,
        1.21255,
        1.28139,
        1.28791,
        1.30821,
        1.27339,
        1.29717,
        1.3425,
        1.33731,
        1.25486,
        1.27229,
        1.26073,
        1.26271,
        1.32877,
        1.36148,
        1.37556,
        1.32848,
        1.31505,
        1.28738,
        1.24867,
        1.274,
        1.324,
        1.28622,
        1.30855,
        1.22162,
        1.29461,
        1.32544,
        1.37522,
        1.38586,
        1.26161,
        1.3122,
        1.34634,
        1.26228,
        1.28472,
        1.33299,
        1.32617,
        1.41849,
        1.31818,
        1.28668,
        1.34296,
        1.37316,
        1.3052,
        1.27811,
        1.30172,
        1.35077,
        1.38095,
        1.28706,
        1.28942,
        1.24609,
        1.29955,
        1.36073,
        1.30855,
        1.24235,
        1.31406,
        1.31158,
        1.32507,
        1.35104,
        1.27492,
        1.27767,
        1.30078,
        1.2995,
        1.28203,
        1.2858,
        1.26848,
        1.22453,
        1.21779,
        1.27438,
        1.28511,
        1.29158,
        1.27622,
        1.3182,
        1.26522,
        1.32493,
        1.27643,
        1.31205,
        1.31072,
        1.28485,
        1.28876,
        1.30014,
        1.29716,
        1.3263,
        1.36487,
        1.37614,
        1.35501,
        1.28881,
        1.31393,
        1.33828,
        1.32749,
        1.29049,
        1.37481,
        1.30151,
        1.28815,
        1.38192,
        1.31728,
        1.32279,
        1.32666,
        1.28455,
        1.29478,
        1.33565,
        1.35451,
        1.37356,
        1.29582,
        1.27559,
        1.21843,
        1.29812,
        1.36418,
        1.30727,
        1.32023,
        1.30518,
        1.32434,
        1.31367,
        1.31909,
        1.33842,
        1.38002,
        1.29614,
        1.29,
        1.35501,
        1.33923,
        1.38972,
        1.35036,
        1.38146,
        1.3056,
        1.28005,
        1.28399,
        1.29417,
        1.31219,
        1.3113,
        1.24358,
        1.33094,
        1.34285,
        1.24666,
        1.28601,
        1.25714,
        1.36288,
        1.35953,
        1.43112,
        1.37269,
        1.30907,
        1.30938,
        1.27465,
        1.31461,
        1.3155,
        1.36688,
        1.3582,
        1.35851,
        1.30687,
        1.20017,
        1.33728,
        1.37014,
        1.35511,
        1.27983,
        1.32842,
        1.29878,
        1.35151,
        1.31415,
        1.27093,
        1.38275,
        1.33593,
        1.32032,
        1.30499,
        1.31825,
        1.27137,
        1.32019,
        1.31789,
        1.33584,
        1.37293,
        1.34123,
        1.25568,
        1.35568,
        1.42533,
        1.33838,
        1.29061,
        1.34813,
        1.39095,
        1.27462,
        1.24892,
        1.32779,
        1.29937,
        1.28629,
        1.29072,
        1.32677,
        1.30223,
        1.29856,
        1.30754,
        1.3095,
        1.32067,
        1.32902,
        1.34408,
        1.26727,
        1.22033,
        1.26342,
        1.32912,
        1.38463,
        1.30229,
        1.26311,
        1.32701,
        1.26518,
        1.3284,
        1.36748,
        1.3211,
        1.27613,
        1.32775,
        1.32155,
        1.26523,
        1.27585,
        1.3277,
        1.36883,
        1.31433,
        1.31022,
        1.35851,
        1.36517,
        1.23887,
        1.31935,
        1.26797,
        1.24529,
        1.20996,
        1.29104,
        1.32733,
        1.29447,
        1.27958,
        1.35227,
        1.36211,
        1.26251,
        1.28257,
        1.37195,
        1.27699,
        1.33871,
        1.31724,
        1.3155,
        1.33699,
        1.40009,
        1.27639,
        1.33344,
        1.35909,
        1.36252,
        1.351,
        1.36221,
        1.34803,
        1.31948,
        1.31364,
        1.29327,
        1.28283,
        1.30106,
        1.28603,
        1.32549,
        1.35233,
        1.36105,
        1.35922,
        1.30041,
        1.25029,
        1.31727,
        1.30141,
        1.3125,
        1.39363,
        1.34124,
        1.25049,
        1.30113,
        1.34672,
        1.3299,
        1.32342,
        1.28636,
        1.31098,
        1.29296,
        1.29111,
        1.35638,
        1.26554,
        1.34511,
        1.28998,
        1.28096,
        1.26698,
        1.1812,
        1.24702,
        1.33152,
        1.24472,
        1.27729,
        1.33265,
        1.32127,
        1.27584,
        1.36769,
        1.30672,
        1.28427,
        1.36368,
        1.3009,
        1.37838,
        1.37148,
        1.31431,
        1.25552,
        1.32588,
        1.34205,
        1.33379,
        1.42482,
        1.39867,
        1.33028,
        1.23084,
        1.31527,
        1.36605,
        1.29654,
        1.3219,
        1.34641,
        1.27271,
        1.34883,
        1.34904,
        1.29583,
        1.36192,
        1.26135,
        1.3037,
        1.31325,
        1.36079,
        1.3466,
        1.35345,
        1.28247,
        1.29786,
        1.269,
        1.34689,
        1.26805,
        1.37222,
        1.2987,
        1.35884,
        1.37249,
        1.34116,
        1.27142,
        1.36597,
        1.39256,
        1.3071,
        1.34859,
        1.36787,
        1.28166,
        1.25454,
        1.27889,
        1.26182,
        1.31703,
        1.3416,
        1.39825,
        1.25494,
        1.27743,
        1.35059,
        1.30244,
        1.24584,
        1.33808,
        1.34023,
        1.3341,
        1.26328,
        1.2817,
        1.38555,
        1.29846,
        1.29101,
        1.30075,
        1.25198,
        1.32863,
        1.34943,
        1.32475,
        1.35745,
        1.32486,
        1.3139,
        1.29184,
        1.28136,
        1.37112,
        1.30332,
        1.35673,
        1.35298,
        1.30067,
        1.30156,
        1.25465,
        1.36123,
        1.34855,
        1.33336,
        1.32106,
        1.38128,
        1.27941,
        1.28697,
        1.33775,
        1.28177,
        1.31407,
        1.29023,
        1.33646,
        1.2751,
        1.36894,
        1.33584,
        1.37185,
        1.40692,
        1.464,
        1.39123,
        1.35949,
        1.37223,
        1.39463,
        1.31378,
        1.27189,
        1.35974,
        1.28604,
        1.34367,
        1.34081,
        1.32962,
        1.33683,
        1.23115,
        1.27011,
        1.28045,
        1.32113,
        1.30273,
        1.36392,
        1.33067,
        1.37368,
        1.33071,
        1.33032,
        1.29559,
        1.32712,
        1.322,
        1.41866,
        1.3375,
        1.23111,
        1.32354,
        1.35191,
        1.4327,
        1.36796,
        1.2906,
        1.32625,
        1.34847,
        1.42152,
        1.29442,
        1.41376,
        1.36763,
        1.39885,
        1.49442,
        1.42272,
        1.50218,
        1.46481,
        1.34823,
        1.3676,
        1.18621,
        1.36953,
        1.37527,
        1.37028,
        1.39632,
        1.37215,
        1.4328,
        1.34231,
        1.42961,
        1.51908,
        1.40804,
        1.35235,
        1.359,
        1.41524,
        1.32862,
        1.39267,
        1.25982,
        1.20108,
        1.36632,
        1.44504,
        1.22779,
        1.38149,
        1.42567,
        1.48645,
        1.4272,
        1.39321,
        1.48127,
        1.39298,
        1.40788,
        1.515,
        1.58353,
        1.51456,
        1.51879,
        1.32494,
        1.42428,
        1.4172,
        1.41473,
        1.48087,
        1.373,
        1.34581,
        1.17843,
        1.34268,
        1.52218,
        1.39505,
        1.30325,
        1.26297,
        1.2741,
        1.27308,
        1.5369,
        1.62427,
        1.41735,
        1.55941,
        1.31831,
        1.49098,
        1.56247,
        1.49804,
        1.51009,
        1.53217,
        1.30266,
        1.28915,
        1.34198,
        1.66452,
        1.54925,
        1.61009,
        1.57502,
        1.40344,
        1.60782,
        1.60395,
        1.45418,
        1.62666,
        null,
        1.84038,
        1.64389,
        1.4609,
        1.50227,
        1.69533,
        1.34357,
        1.59134,
        1.40138,
        1.6919,
        1.56904,
        1.84138,
        1.9845,
        1.52666,
        1.42678,
        1.53212,
        1.65712,
        1.75481,
        1.44234,
        1.24867,
        1.62528,
        1.59693,
        1.52521,
        1.64706,
        1.77288,
        1.39917,
        1.34251,
        1.12013,
        1.42469,
        1.22041,
        1.22009,
        1.34894,
        1.42598,
        1.31945,
        1.53733,
        1.54473,
        1.34873,
        1.28232,
        1.42407,
        1.3213,
        1.41584,
        1.24692,
        1.48439,
        1.33704,
        1.39577,
        1.55922,
        1.33065,
        1.31703,
        1.42687,
        1.37338,
        1.3675,
        1.5243,
        1.54468,
        1.45906,
        1.43229,
        1.33146,
        1.49762,
        1.42469,
        1.21219,
        1.28052,
        1.37666,
        1.2609,
        1.37562,
        1.40314,
        1.65013,
        1.5024,
        1.17036,
        1.31814,
        1.24314,
        1.35616,
        1.37862,
        1.13915,
        1.21843,
        1.31198,
        1.35162,
        1.40218,
        1.32696,
        1.44934,
        1.35373,
        1.30529,
        1.38943,
        1.50466,
        1.3494,
        1.27578,
        1.43528,
        1.33059,
        1.33894,
        1.48981,
        1.46444,
        1.5314,
        1.32204,
        1.3687,
        1.37881,
        1.49873,
        1.3617,
        1.38325,
        1.48863,
        1.37461,
        1.26883,
        1.23975,
        1.33461,
        1.30804,
        1.39103,
        1.49399,
        1.28312,
        1.21188,
        1.26511,
        1.22836,
        1.31503,
        1.31445,
        1.33009,
        1.34103,
        1.42452,
        1.27991,
        1.40582,
        1.34423,
        1.41886,
        1.51845,
        1.4196,
        1.38494,
        1.41438,
        1.33983,
        1.32437,
        1.44756,
        1.34041,
        1.3296,
        1.28871,
        1.29839,
        1.39233,
        1.43702,
        1.22857,
        1.39606,
        1.35943,
        1.39746,
        1.25988,
        1.21145,
        1.30784,
        1.37747,
        1.38218,
        1.47154,
        1.45872,
        1.52149,
        1.3788,
        1.39587,
        1.36985,
        1.27813,
        1.29808,
        1.33456,
        1.3581,
        1.38353,
        1.35667,
        1.3859,
        1.16212,
        1.37036,
        1.46691,
        1.2956,
        1.31579,
        1.30525,
        1.45183,
        1.46973,
        1.36903,
        1.39699,
        1.39672,
        1.24536,
        1.23936,
        1.33837,
        1.42762,
        1.36399,
        1.45664,
        1.45048,
        1.52112,
        1.35175,
        1.47469,
        1.32149,
        1.32247,
        1.44586,
        1.27926,
        1.24675,
        1.36925,
        1.42892,
        1.39775,
        1.30431,
        1.38696,
        1.41671,
        1.34792,
        1.29565,
        1.25515,
        1.31437,
        1.39366,
        1.29005,
        1.23906,
        1.21667,
        1.42064,
        1.36306,
        1.44274,
        1.37241,
        1.20946,
        1.27715,
        1.33088,
        1.35694,
        1.363,
        1.28014,
        1.35021,
        1.31376,
        1.2893,
        1.34345,
        1.34605,
        1.32814,
        1.35218,
        1.39355,
        1.35937,
        1.36352,
        1.31977,
        1.39509,
        1.31865,
        1.40788,
        1.30741,
        1.26049,
        1.32419,
        1.30209,
        1.32607,
        1.3854,
        1.30062,
        1.49359,
        1.26543,
        1.43781,
        1.52888,
        1.19058,
        1.18249,
        1.42296,
        1.44772,
        1.4855,
        1.45307,
        1.50311,
        1.43294,
        1.33715,
        1.33393,
        1.40302,
        1.35933,
        1.5571,
        1.50091,
        1.37926,
        1.37968,
        1.48239,
        1.29024,
        1.30133,
        1.37545,
        1.30635,
        1.38748,
        1.27419,
        1.54383,
        1.29917,
        1.5949,
        1.12971,
        1.21757,
        1.2532,
        1.3319,
        1.29912,
        1.43311,
        1.39035,
        1.46279,
        1.63078,
        1.43728,
        1.46571,
        1.34701,
        1.49106,
        1.55682,
        1.54812,
        1.34932,
        1.33351,
        1.89927,
        1.4143,
        1.32895,
        1.42249,
        1.67037,
        1.57432,
        1.55138,
        1.51765,
        1.71431,
        1.54975,
        1.32206,
        1.55611,
        1.57021,
        1.55866,
        1.15937,
        1.30743,
        1.33419,
        1.35065,
        1.15212,
        1.74564,
        1.49682,
        1.75039,
        1.73864,
        1.91926,
        1.73133,
        1.75386,
        null,
        1.566,
        1.66367,
        1.54133,
        1.38439,
        1.37449,
        1.30939,
        1.33617,
        1.30461,
        1.43526,
        1.29329,
        1.47851,
        1.42807,
        1.69292,
        1.41407,
        1.298,
        1.63265,
        1.30186,
        1.21065,
        1.51184,
        1.47059,
        1.76485,
        1.27998,
        1.28571,
        1.54857,
        1.48081,
        1.29724,
        1.51441,
        1.33686,
        1.40664,
        1.55215,
        1.33304,
        1.46751,
        1.43024,
        1.63238,
        1.40867,
        1.30087,
        1.34889,
        1.44826,
        1.65237,
        1.51707,
        1.34857,
        1.42191,
        1.31526,
        1.37578,
        1.33751,
        1.56792,
        1.55921,
        1.43968,
        1.29077,
        1.33182,
        null,
        1.13145,
        1.13162,
        1.154,
        1.1953,
        1.20647,
        1.16676,
        1.26641,
        1.27053,
        1.1748,
        1.24727,
        1.27552,
        1.22852,
        1.29199,
        1.30429,
        1.24204,
        1.18513,
        1.27957,
        1.28714,
        1.17409,
        1.20093,
        1.21673,
        1.14578,
        1.25436,
        1.3239,
        1.34867,
        1.38324,
        1.2867,
        1.29556,
        1.23764,
        1.32996,
        1.2713,
        1.20112,
        1.25603,
        1.2943,
        1.22876,
        1.21232,
        1.15554,
        1.20436,
        1.15399,
        1.22434,
        1.25932,
        1.26831,
        1.31546,
        1.20294,
        1.31402,
        1.26485,
        1.37689,
        1.3015,
        1.34759,
        1.36312,
        1.22726,
        1.25448,
        1.32329,
        1.38792,
        1.24077,
        1.22123,
        1.23871,
        1.34312,
        1.25401,
        1.30546,
        1.28948,
        1.15599,
        1.23534,
        1.23472,
        1.25037,
        1.17144,
        1.21147,
        1.2261,
        1.25852,
        1.21146,
        1.22276,
        1.25843,
        1.31616,
        1.30882,
        1.32491,
        1.1635,
        1.29295,
        1.21273,
        1.24535,
        1.20804,
        1.1992,
        1.19861,
        1.20408,
        1.21684,
        1.33679,
        1.27607,
        1.24834,
        1.16468,
        1.14495,
        1.22067,
        1.17125,
        1.21342,
        1.20202,
        1.16358,
        1.20816,
        1.25473,
        1.24644,
        1.18008,
        1.23803,
        1.27096,
        1.25717,
        1.14914,
        1.16221,
        1.26186,
        1.17532,
        1.32832,
        1.27537,
        1.19635,
        1.14421,
        1.22748,
        1.16626,
        1.26984,
        1.28263,
        1.24458,
        1.29352,
        1.29074,
        1.2314,
        1.25405,
        1.20956,
        1.13197,
        1.1984,
        1.21804,
        1.20854,
        1.19393,
        1.12845,
        1.13242,
        1.21001,
        1.2178,
        1.227,
        1.17124,
        1.24615,
        1.15383,
        1.18563,
        1.19887,
        1.17235,
        1.22929,
        1.18251,
        1.19542,
        1.23092,
        1.27266,
        1.25064,
        1.18838,
        1.17964,
        1.17372,
        1.30347,
        1.18094,
        1.101,
        1.23588,
        1.20705,
        1.19346,
        1.166,
        1.27542,
        1.18799,
        1.25357,
        1.19864,
        1.13259,
        1.19808,
        1.20066,
        1.23703,
        1.20519,
        1.19367,
        1.21086,
        1.20234,
        1.29459,
        1.25147,
        1.27003,
        1.19702,
        1.22377,
        1.27273,
        1.29399,
        1.2422,
        1.30393,
        1.2219,
        1.21016,
        1.16614,
        1.21325,
        1.24343,
        1.20734,
        1.28443,
        1.23449,
        1.27469,
        1.24195,
        1.2226,
        1.22818,
        1.17806,
        1.278,
        1.1554,
        1.24153,
        1.17739,
        1.19864,
        1.22439,
        1.19115,
        1.18363,
        1.21782,
        1.24714,
        1.23019,
        1.26567,
        1.21566,
        1.23119,
        1.17928,
        1.19396,
        1.21882,
        1.15661,
        1.17621,
        1.22154,
        1.14202,
        1.18041,
        1.34834,
        1.22485,
        1.29827,
        1.27018,
        1.211,
        1.21008,
        1.2847,
        1.12649,
        1.18816,
        1.23425,
        1.22903,
        1.31671,
        1.28488,
        1.3161,
        1.33146,
        1.34467,
        1.15114,
        1.2185,
        1.22395,
        1.33384,
        1.2098,
        1.19409,
        1.22076,
        1.17316,
        1.18551,
        1.14945,
        1.21618,
        1.22259,
        1.24529,
        1.25177,
        1.24287,
        1.26404,
        1.3025,
        1.27103,
        1.17195,
        1.28882,
        1.34324,
        1.32958,
        1.25046,
        1.27933,
        1.15769,
        1.32049,
        1.25953,
        1.23308,
        1.26821,
        1.24024,
        1.33992,
        1.33333,
        1.22943,
        1.24045,
        1.1883,
        1.19627,
        1.24365,
        1.19013,
        1.21473,
        1.1754,
        1.20562,
        1.24298,
        1.17176,
        1.19558,
        1.17098,
        1.20516,
        1.17506,
        1.1993,
        1.28632,
        1.28256,
        1.17403,
        1.21162,
        1.2924,
        1.1983,
        1.13705,
        1.184,
        1.17487,
        1.1811,
        1.27394,
        1.26612,
        1.28953,
        1.31477,
        1.22543,
        1.24527,
        1.24388,
        1.19987,
        1.27024,
        1.26041,
        1.2501,
        1.23416,
        1.28423,
        1.26582,
        1.25547,
        1.18727,
        1.10848,
        1.2836,
        1.25022,
        1.21177,
        1.26851,
        1.34027,
        1.12658,
        1.16523,
        1.23241,
        1.11377,
        1.16764,
        1.24666,
        1.20011,
        1.22355,
        1.27805,
        1.21852,
        1.20893,
        1.23279,
        1.24222,
        1.22553,
        1.23308,
        1.25492,
        1.18422,
        1.24339,
        1.20077,
        1.20949,
        1.12744,
        1.10361,
        1.19097,
        1.23773,
        1.20438,
        1.19061,
        1.28875,
        1.27251,
        1.38045,
        1.35316,
        1.27231,
        1.26239,
        1.22399,
        1.13036,
        1.26631,
        1.28606,
        1.28997,
        1.26238,
        1.22223,
        1.29679,
        1.26738,
        1.28928,
        1.24176,
        1.15794,
        1.24067,
        1.17437,
        1.20953,
        1.29047,
        1.20046,
        1.2453,
        1.29937,
        1.28254,
        1.2503,
        1.29174,
        1.27918,
        1.20588,
        1.24816,
        1.28092,
        1.18308,
        1.11801,
        1.19815,
        1.33237,
        1.20297,
        1.18814,
        1.2172,
        1.2551,
        1.21361,
        1.19575,
        1.26905,
        1.21439,
        1.17974,
        1.25341,
        1.21305,
        1.23032,
        1.22883,
        1.26686,
        1.27262,
        1.24067,
        1.19226,
        1.2234,
        1.27843,
        1.22881,
        1.27079,
        1.32654,
        1.28827,
        1.18905,
        1.2022,
        1.1936,
        1.18416,
        1.24271,
        1.28964,
        1.28096,
        1.2627,
        1.1738,
        1.28245,
        1.25483,
        1.24065,
        1.31659,
        1.27341,
        1.12208,
        1.25738,
        1.19068,
        1.19678,
        1.1345,
        1.23794,
        1.31977,
        1.35765,
        1.24969,
        1.27979,
        1.20244,
        1.28421,
        1.24419,
        1.2407,
        1.35761,
        1.30901,
        1.2576,
        1.26796,
        1.25047,
        1.22749,
        1.30322,
        1.27145,
        1.28761,
        1.21415,
        1.16124,
        1.26924,
        1.28148,
        1.28091,
        1.20788,
        1.25868,
        1.25305,
        1.20275,
        1.24515,
        1.16611,
        1.25866,
        1.22268,
        1.24638,
        1.15306,
        1.20429,
        1.19112,
        1.25507,
        1.28428,
        1.24177,
        1.21886,
        1.22246,
        1.25568,
        1.37564,
        1.23512,
        1.25724,
        1.16632,
        1.2866,
        1.19276,
        1.27774,
        1.24234,
        1.27208,
        1.27418,
        1.25994,
        1.25824,
        1.30088,
        1.24606,
        1.20934,
        1.22332,
        1.38582,
        1.35898,
        1.2702,
        1.27158,
        1.36159,
        1.41062,
        1.35277,
        1.63412,
        1.54734,
        1.36477,
        1.42031,
        1.41013,
        1.25875,
        1.32975,
        1.31078,
        1.28181,
        1.32438,
        1.29599,
        1.26109,
        1.294,
        1.26533,
        1.26491,
        1.25909,
        1.23059,
        1.18385,
        1.29642,
        1.24478,
        1.28665,
        1.21807,
        1.22864,
        1.24796,
        1.20692,
        1.25035,
        1.22111,
        1.16525,
        1.18946,
        1.20539,
        1.19335,
        1.15878,
        1.22211,
        1.26928,
        1.31856,
        1.25745,
        1.2608,
        1.23146,
        1.25628,
        1.1829,
        1.23121,
        1.19585,
        1.26887,
        1.217,
        1.25559,
        1.18559,
        1.20792,
        1.26385,
        1.31922,
        1.25273,
        1.2461,
        1.28878,
        1.19521,
        1.27564,
        1.31582,
        1.25719,
        1.24328,
        1.22158,
        1.26919,
        1.26536,
        1.27456,
        1.26644,
        1.26598,
        1.25062,
        1.26075,
        1.22091,
        1.24397,
        1.25711,
        1.24884,
        1.2394,
        1.2419,
        1.20504,
        1.25096,
        1.26853,
        1.22966,
        1.24144,
        1.24747,
        1.2612,
        1.1806,
        1.26952,
        1.30856,
        1.16958,
        1.27682,
        1.29297,
        1.28068,
        1.23205,
        1.23928,
        1.2227,
        1.2238,
        1.19928,
        1.17224,
        1.21197,
        1.18694,
        1.20311,
        1.22821,
        1.16651,
        1.21369,
        1.28654,
        1.25421,
        1.24332,
        1.20239,
        1.17639,
        1.23842,
        1.25188,
        1.24238,
        1.24344,
        1.20838,
        1.18713,
        1.20569,
        1.20227,
        1.24869,
        1.24707,
        1.25164,
        1.32593,
        1.27666,
        1.26307,
        1.2784,
        1.22886,
        1.2993,
        1.29525,
        1.24384,
        1.27578,
        1.26948,
        1.21961,
        1.28072,
        1.33357,
        1.31643,
        1.2304,
        1.26554,
        1.30404,
        1.28006,
        1.25248,
        1.22151,
        1.18931,
        1.20079,
        1.19283,
        1.15363,
        1.23674,
        1.27311,
        1.2549,
        1.21858,
        1.23664,
        1.2153,
        1.24967,
        1.26613,
        1.20406,
        1.29246,
        1.24435,
        1.23671,
        1.2115,
        1.26387,
        1.31326,
        1.25432,
        1.22973,
        1.16688,
        1.19769,
        1.15641,
        1.22106,
        1.22982,
        1.20674,
        1.16742,
        1.2524,
        1.2012,
        1.185,
        1.20462,
        1.18053,
        1.2315,
        1.15939,
        1.19524,
        1.22789,
        1.25336,
        1.21173,
        1.26196,
        1.21156,
        1.22346,
        1.19203,
        1.13474,
        1.20473,
        1.2069,
        1.22299,
        1.25129,
        1.24455,
        1.18805,
        1.2516,
        1.24337,
        1.28188,
        1.34339,
        1.27192,
        1.2161,
        1.20617,
        1.23511,
        1.20011,
        1.24003,
        1.22348,
        1.25489,
        1.28342,
        1.30776,
        1.24745,
        1.24063,
        1.20689,
        1.28196,
        1.26384,
        1.27117,
        1.24475,
        1.21018,
        1.21656,
        1.2139,
        1.23501,
        1.2019,
        1.20137,
        1.21834,
        1.2116,
        1.25164,
        1.22662,
        1.24956,
        1.22877,
        1.22121,
        1.23742,
        1.34662,
        1.26197,
        1.17493,
        1.30752,
        1.20618,
        1.24676,
        1.23324,
        1.22117,
        1.20006,
        1.25862,
        1.24821,
        1.23806,
        1.23491,
        1.23336,
        1.26953,
        1.26858,
        1.21979,
        1.22061,
        1.25382,
        1.19711,
        1.18958,
        1.23925,
        1.26794,
        1.22597,
        1.21862,
        1.25819,
        1.21621,
        1.24163,
        1.25817,
        1.24398,
        1.30346,
        1.19839,
        1.19231,
        1.224,
        1.20186,
        1.25467,
        1.30769,
        1.26949,
        1.27241,
        1.26833,
        1.22434,
        1.23722,
        1.17306,
        1.23295,
        1.33354,
        1.26403,
        1.22446,
        1.27877,
        1.24101,
        1.22908,
        1.21404,
        1.28764,
        1.23476,
        1.28892,
        1.2531,
        1.27172,
        1.209,
        1.20718,
        1.24807,
        1.23211,
        1.17609,
        1.20933,
        1.18623,
        1.25615,
        1.28314,
        1.23236,
        1.21755,
        1.25474,
        1.19621,
        1.26016,
        1.22778,
        1.20696,
        1.20694,
        1.24964,
        1.16919,
        1.2134,
        1.23498,
        1.22751,
        1.20722,
        1.25574,
        1.2345,
        1.19745,
        1.18234,
        1.17949,
        1.29034,
        1.22412,
        1.25069,
        1.27095,
        1.2641,
        1.24916,
        1.2654,
        1.23935,
        1.19187,
        1.29613,
        1.27053,
        1.2261,
        1.19233,
        1.27417,
        1.22527,
        1.24749,
        1.20151,
        1.22008,
        1.18997,
        1.21264,
        1.26876,
        1.30597,
        1.18144,
        1.2404,
        1.22768,
        1.22521,
        1.19705,
        1.25245,
        1.24127,
        1.23423,
        1.21014,
        1.17291,
        1.27427,
        1.2369,
        1.17013,
        1.25968,
        1.30511,
        1.20607,
        1.26947,
        1.21897,
        1.26432,
        1.25637,
        1.15306,
        1.2515,
        1.26648,
        1.24781,
        1.16659,
        1.21081,
        1.24932,
        1.25876,
        1.2229,
        1.21306,
        1.28505,
        1.238,
        1.21067,
        1.26599,
        1.29924,
        1.2306,
        1.24434,
        1.24176,
        1.30497,
        1.34281,
        1.2655,
        1.24147,
        1.23444,
        1.24882,
        1.18729,
        1.22656,
        1.24093,
        1.26443,
        1.19794,
        1.29383,
        1.25187,
        1.30062,
        1.25328,
        1.23245,
        1.21285,
        1.23407,
        1.27341,
        1.21344,
        1.23834,
        1.21624,
        1.23296,
        1.26922,
        1.25089,
        1.29307,
        1.29023,
        1.2145,
        1.21216,
        1.23578,
        1.20155,
        1.29566,
        1.3082,
        1.22209,
        1.24468,
        1.24533,
        1.20022,
        1.24508,
        1.22413,
        1.2671,
        1.25648,
        1.26129,
        1.23929,
        1.20741,
        1.24501,
        1.20649,
        1.22579,
        1.18948,
        1.23983,
        1.23175,
        1.22417,
        1.21465,
        1.19632,
        1.19897,
        1.28853,
        1.27998,
        1.21405,
        1.19692,
        1.22127,
        1.23394,
        1.21952,
        1.22654,
        1.20478,
        1.24914,
        1.19646,
        1.17776,
        1.19887,
        1.25133,
        1.22497,
        1.2027,
        1.18635,
        1.22113,
        1.237,
        1.25725,
        1.19952,
        1.29896,
        1.26826,
        1.23759,
        1.28726,
        1.3196,
        1.23787,
        1.25408,
        1.28641,
        1.20618,
        1.22275,
        1.21362,
        1.27309,
        1.24514,
        1.31813,
        1.29899,
        1.29997,
        1.20165,
        1.17545,
        1.29485,
        1.27143,
        1.22481,
        1.23477,
        1.31337,
        1.32518,
        1.23409,
        1.20053,
        1.16767,
        1.21938,
        1.24599,
        1.25361,
        1.21464,
        1.14687,
        1.22234,
        1.21585,
        1.22916,
        1.16914,
        1.23397,
        1.25225,
        1.18766,
        1.16853,
        1.27909,
        1.27065,
        1.25961,
        1.23822,
        1.25429,
        1.22081,
        1.22614,
        1.24062,
        1.20182,
        1.29316,
        1.26127,
        1.26116,
        1.26692,
        1.28991,
        1.11731,
        1.21601,
        1.28575,
        1.32456,
        1.31967,
        1.26255,
        1.26515,
        1.2505,
        1.26455,
        1.32319,
        1.37205,
        1.28012,
        1.27479,
        1.33685,
        1.31137,
        1.32331,
        1.37614,
        1.29731,
        1.36671,
        1.42545,
        1.52367,
        1.23558,
        1.18841,
        1.34315,
        1.26563,
        1.14335,
        1.42677,
        1.62579,
        1.31517,
        2.17548,
        1.52064,
        1.30529,
        1.13576,
        1.41542,
        1.4106,
        1.36277,
        1.22201,
        1.3926,
        1.25116,
        1.47336,
        1.33346,
        1.48863,
        1.31337,
        1.29819,
        1.28535,
        1.30267,
        1.28189,
        1.25117,
        1.26049,
        1.33424,
        1.35192,
        1.31243,
        1.29831,
        1.2234,
        1.35665,
        1.25586,
        1.31848,
        1.2974,
        1.23687,
        1.26928,
        1.34502,
        1.27871,
        1.23392,
        1.20603,
        1.28215,
        1.33394,
        1.21398,
        1.24968,
        1.23277,
        1.29676,
        1.21221,
        1.24279,
        1.25944,
        1.25852,
        1.24186,
        1.26905,
        1.29133,
        1.28293,
        1.28503,
        1.25412,
        1.23076,
        1.19809,
        1.23322,
        1.18001,
        1.23642,
        1.26418,
        1.29383,
        1.21369,
        1.23086,
        1.16909,
        1.20839,
        1.20172,
        1.22652,
        1.2887,
        1.23779,
        1.22786,
        1.22433,
        1.23084,
        1.25077,
        1.28934,
        1.23058,
        1.25088,
        1.24301,
        1.218,
        1.27921,
        1.18308,
        1.26442,
        1.24102,
        1.22582,
        1.26673,
        1.29781,
        1.28875,
        1.21872,
        1.23418,
        1.24496,
        1.18927,
        1.21651,
        1.23122,
        1.31404,
        1.26202,
        1.28777,
        1.26497,
        1.26001,
        1.28025,
        1.3361,
        1.30209,
        1.28351,
        1.23195,
        1.26291,
        1.23731,
        1.25562,
        1.29595,
        1.19132,
        1.24815,
        1.25751,
        1.26221,
        1.18297,
        1.26853,
        1.25246,
        1.30551,
        1.23354,
        1.19045,
        1.21033,
        1.22576,
        1.25435,
        1.21623,
        1.25781,
        1.23447,
        1.24912,
        1.29568,
        1.30916,
        1.28656,
        1.28719,
        1.22801,
        1.24355,
        1.20363,
        1.20176,
        1.19155,
        1.24896,
        1.27198,
        1.25511,
        1.24812,
        1.27116,
        1.23104,
        1.24362,
        1.22763,
        1.27118,
        1.23796,
        1.24888,
        1.30185,
        1.24599,
        1.29918,
        1.2766,
        1.24609,
        1.20723,
        1.23713,
        1.2519,
        1.27887,
        1.26394,
        1.2887,
        1.3049,
        1.27271,
        1.2555,
        1.25329,
        1.2594,
        1.15664,
        1.27323,
        1.2798,
        1.26691,
        1.25913,
        1.31593,
        1.28731,
        1.28989,
        1.21134,
        1.24636,
        1.2728,
        1.2872,
        1.24808,
        1.22958,
        1.23238,
        1.29911,
        1.26679,
        1.25198,
        1.22992,
        1.28133,
        1.28391,
        1.22764,
        1.25373,
        1.25092,
        1.17095,
        1.24209,
        1.18801,
        1.28226,
        1.23075,
        1.23567,
        1.23963,
        1.29649,
        1.23252,
        1.23326,
        1.28701,
        1.26484,
        1.30314,
        1.32024,
        1.19719,
        1.25063,
        1.30414,
        1.28484,
        1.27362,
        1.30041,
        1.30254,
        1.25111,
        1.25664,
        1.29011,
        1.21803,
        1.32607,
        1.28241,
        1.26265,
        1.30125,
        1.246,
        1.29051,
        1.28155,
        1.30311,
        1.31396,
        1.27367,
        1.30044,
        1.29832,
        1.23629,
        1.26062,
        1.23287,
        1.24957,
        1.32375,
        1.28411,
        1.29057,
        1.26754,
        1.25841,
        1.27183,
        1.24926,
        1.31736,
        1.26973,
        1.26691,
        1.28231,
        1.2683,
        1.21228,
        1.22041,
        1.23996,
        1.24046,
        1.23439,
        1.27356,
        1.20764,
        1.25914,
        1.26081,
        1.25985,
        1.27529,
        1.26176,
        1.18293,
        1.23849,
        1.30918,
        1.25485,
        1.31765,
        1.30489,
        1.24451,
        1.25441,
        1.30159,
        1.26836,
        1.27294,
        1.26494,
        1.2676,
        1.3383,
        1.30717,
        1.35268,
        1.26847,
        1.3005,
        1.26675,
        1.24969,
        1.21775,
        1.27949,
        1.29705,
        1.32439,
        1.26432,
        1.20794,
        1.23506,
        1.29189,
        1.24892,
        1.23181,
        1.27859,
        1.25535,
        1.30355,
        1.29872,
        1.26911,
        1.33335,
        1.2883,
        1.29393,
        1.31228,
        1.24134,
        1.24135,
        1.30249,
        1.27626,
        1.27073,
        1.34622,
        1.27284,
        1.30601,
        1.31681,
        1.32088,
        1.29125,
        1.29358,
        1.21309,
        1.23073,
        1.2804,
        1.33065,
        1.30746,
        1.24996,
        1.21835,
        1.29182,
        1.24281,
        1.28871,
        1.32867,
        1.22691,
        1.20751,
        1.20932,
        1.32224,
        1.27317,
        1.25999,
        1.2615,
        1.25199,
        1.29305,
        1.24563,
        1.30537,
        1.26886,
        1.25622,
        1.24787,
        1.23254,
        1.21527,
        1.25926,
        1.29777,
        1.27725,
        1.20359,
        1.24549,
        1.26454,
        1.25148,
        1.24976,
        1.27896,
        1.29853,
        1.2608,
        1.32404,
        1.21495,
        1.23448,
        1.28684,
        1.26866,
        1.27857,
        1.31416,
        1.29183,
        1.23832,
        1.27103,
        1.24132,
        1.29139,
        1.32272,
        1.28021,
        1.30756,
        1.28464,
        1.30145,
        1.26206,
        1.22957,
        1.22864,
        1.22048,
        1.24261,
        1.26589,
        1.28563,
        1.3683,
        1.29447,
        1.2116,
        1.32005,
        1.28537,
        1.29737,
        1.22658,
        1.25272,
        1.26483,
        1.25666,
        1.2191,
        1.21375,
        1.26604,
        1.2184,
        1.24122,
        1.29492,
        1.20764,
        1.25185,
        1.28069,
        1.30772,
        1.29638,
        1.18249,
        1.20908,
        1.26921,
        1.24804,
        1.29384,
        1.31577,
        1.27115,
        1.28264,
        1.28313,
        1.31659,
        1.25921,
        1.26176,
        1.18106,
        1.28053,
        1.24795,
        1.26808,
        1.2454,
        1.28188,
        1.30436,
        1.27429,
        1.29223,
        1.27312,
        1.26013,
        1.28956,
        1.25361,
        1.31184,
        1.30134,
        1.31089,
        1.28021,
        1.35213,
        1.21271,
        1.25369,
        1.24683,
        1.24927,
        1.2535,
        1.25229,
        1.29762,
        1.32658,
        1.30402,
        1.28142,
        1.29127,
        1.26022,
        1.30899,
        1.27962,
        1.27502,
        1.26332,
        1.23458,
        1.23605,
        1.32646,
        1.27599,
        1.30058,
        1.30086,
        1.23177,
        1.17831,
        1.20664,
        1.2392,
        1.26526,
        1.27967,
        1.2724,
        1.21643,
        1.27678,
        1.33035,
        1.2747,
        1.28108,
        1.22092,
        1.21264,
        1.24001,
        1.22282,
        1.28657,
        1.27384,
        1.27597,
        1.27206,
        1.23235,
        1.25485,
        1.23871,
        1.259,
        1.2379,
        1.27144,
        1.18018,
        1.17133,
        1.26603,
        1.29051,
        1.24007,
        1.26321,
        1.32238,
        1.21035,
        1.33045,
        1.36098,
        1.24035,
        1.27509,
        1.23164,
        1.27262,
        1.22378,
        1.28594,
        1.2561,
        1.22731,
        1.30075,
        1.28229,
        1.29326,
        1.2258,
        1.25145,
        1.28168,
        1.28761,
        1.25032,
        1.26546,
        1.16883,
        1.23964,
        1.23648,
        1.23204,
        1.27176,
        1.28751,
        1.28494,
        1.22657,
        1.26555,
        1.32402,
        1.29104,
        1.26367,
        1.33361,
        1.28631,
        1.29141,
        1.22857,
        1.27559,
        1.27071,
        1.28936,
        1.22528,
        1.25275,
        1.22771,
        1.23429,
        1.19635,
        1.27505,
        1.23583,
        1.20368,
        1.25251,
        1.31642,
        1.22129,
        1.28195,
        1.17648,
        1.21816,
        1.25318,
        1.24295,
        1.226,
        1.24419,
        1.26614,
        1.31875,
        1.23203,
        1.29473,
        1.23945,
        1.21338,
        1.26926,
        1.32894,
        1.3116,
        1.28746,
        1.29261,
        1.26113,
        1.20778,
        1.26297,
        1.33144,
        1.3112,
        1.25133,
        1.28105,
        1.23509,
        1.28334,
        1.1955,
        1.30978,
        1.28702,
        1.2666,
        1.29999,
        1.31576,
        1.31135,
        1.31611,
        1.32164,
        1.2573,
        1.20058,
        1.22268,
        1.29874,
        1.25915,
        1.28503,
        1.29846,
        1.21001,
        1.25068,
        1.28452,
        1.26612,
        1.32442,
        1.25017,
        1.25932,
        1.34427,
        1.2463,
        1.31771,
        1.24381,
        1.27051,
        1.21949,
        1.3904,
        1.33669,
        1.25203,
        1.19385,
        1.17214,
        1.25111,
        1.28795,
        1.23507,
        1.28661,
        1.25845,
        1.24648,
        1.24934,
        1.24117,
        1.25278,
        1.26895,
        1.21326,
        1.19915,
        1.23249,
        1.24449,
        1.3781,
        1.30878,
        1.27026,
        1.30086,
        1.26915,
        1.21857,
        1.23853,
        1.25646,
        1.37388,
        1.27961,
        1.23648,
        1.27444,
        1.30422,
        1.27051,
        1.27478,
        1.26214,
        1.29266,
        1.18291,
        1.26838,
        1.25092,
        1.25559,
        1.32087,
        1.23685,
        1.16626,
        1.29985,
        1.24587,
        1.25761,
        1.31175,
        1.23213,
        1.32989,
        1.24266,
        1.25084,
        1.25911,
        1.28094,
        1.27903,
        1.29231,
        1.38614,
        1.29549,
        1.2763,
        1.30877,
        1.31066,
        1.21273,
        1.2102,
        1.20883,
        1.20441,
        1.31947,
        1.29966,
        1.33398,
        1.3129,
        1.32979,
        1.25277,
        1.32262,
        1.26986,
        1.23748,
        1.21222,
        1.23183,
        1.25778,
        1.24048,
        1.21609,
        1.25922,
        1.1981,
        1.17587,
        1.28654,
        1.35513,
        1.26335,
        1.23094,
        1.22929,
        1.27515,
        1.23816,
        1.2164,
        1.1808,
        1.28671,
        1.29694,
        1.23538,
        1.26255,
        1.22662,
        1.20643,
        1.33746,
        1.28861,
        1.18534,
        1.19049,
        1.23512,
        1.21938,
        1.32038,
        1.24185,
        1.34,
        1.29088,
        1.20724,
        1.26269,
        1.27513,
        1.32999,
        1.31418,
        1.27751,
        1.29084,
        1.2357,
        1.24158,
        1.24411,
        1.25185,
        1.25502,
        1.32704,
        1.27577,
        1.28445,
        1.33928,
        1.30351,
        1.22155,
        1.29533,
        1.36561,
        1.23597,
        1.24665,
        1.25034,
        1.24164,
        1.23936,
        1.21752,
        1.22706,
        1.20835,
        1.18339,
        1.28737,
        1.227,
        1.25021,
        1.26222,
        1.23808,
        1.28367,
        1.25574,
        1.32349,
        1.33131,
        1.17061,
        1.13774,
        1.28111,
        1.30185,
        1.23763,
        1.24153,
        1.40495,
        1.18598,
        1.21708,
        1.29743,
        1.23942,
        1.29709,
        1.20946,
        1.18362,
        1.26409,
        1.30424,
        1.22844,
        1.28645,
        1.30334,
        1.30809,
        1.20822,
        1.23802,
        1.28755,
        1.1933,
        1.21026,
        1.21102,
        1.21045,
        1.28274,
        1.26056,
        1.30793,
        1.31345,
        1.13262,
        1.12191,
        1.13605,
        1.25074,
        1.28647,
        1.22159,
        1.30272,
        1.3605,
        1.2455,
        1.2643,
        1.31455,
        1.31407,
        1.21832,
        1.27464,
        1.35076,
        1.26083,
        1.25367,
        1.33085,
        1.24754,
        1.19039,
        1.413,
        1.30656,
        1.29897,
        1.3131,
        1.26168,
        1.24239,
        1.24882,
        1.26232,
        1.14638,
        1.19092,
        1.29221,
        1.17125,
        1.10475,
        1.26137,
        1.34857,
        1.24381,
        1.36883,
        1.24746,
        1.18507,
        1.33025,
        1.13358,
        1.14332,
        1.13486,
        1.24712,
        1.23311,
        1.22769,
        1.28979,
        1.26797,
        1.26269,
        1.21446,
        1.09403,
        1.14518,
        1.2235,
        1.23713,
        1.21516,
        1.21423,
        1.34556,
        1.32474,
        1.25662,
        1.30123,
        1.31995,
        1.30826,
        1.21999,
        1.31775,
        1.26955,
        1.20383,
        1.20916,
        1.22046,
        1.21036,
        1.25644,
        1.2886,
        1.30832,
        1.30743,
        1.30612,
        1.33054,
        1.39267,
        1.31611,
        1.34123,
        1.31463,
        1.24048,
        1.18885,
        1.2334,
        1.33866,
        1.372,
        1.32703,
        1.32299,
        1.25975,
        1.23877,
        1.27738,
        1.26927,
        1.29195,
        1.12975,
        1.30384,
        1.2723,
        1.32037,
        1.23931,
        1.21258,
        1.30327,
        1.22145,
        1.29677,
        1.38325,
        1.32227,
        1.32986,
        1.16315,
        1.10821,
        1.13884,
        1.27175,
        1.11536,
        1.22921,
        1.26261,
        1.23122,
        1.26468,
        1.32241,
        1.22867,
        1.21302,
        1.17735,
        1.32998,
        1.34426,
        1.26385,
        1.21329,
        1.16145,
        1.22996,
        1.30654,
        1.38728,
        1.32367,
        1.29138,
        1.34899,
        1.28124,
        1.22286,
        1.30156,
        1.37445,
        1.31528,
        1.15385,
        1.37129,
        1.2382,
        1.21872,
        1.34066,
        1.34585,
        1.4264,
        1.37769,
        1.18842,
        1.33494,
        1.38373,
        1.19852,
        1.47354,
        1.42094,
        1.24493,
        1.27057,
        1.26933,
        1.19535,
        1.24004,
        1.02976,
        1.23514,
        1.31478,
        1.2793,
        1.26506,
        1.34166,
        1.45749,
        1.36371,
        1.27625,
        1.34235,
        1.36997,
        1.45719,
        1.19372,
        1.40786,
        1.30167,
        1.24785,
        1.33902,
        1.31754,
        1.40899,
        1.24251,
        1.2651,
        1.26679,
        1.22485,
        1.29099,
        1.34314,
        1.24207,
        1.25833,
        1.16187,
        1.30778,
        1.26684,
        1.30278,
        1.42896,
        1.32301,
        1.46267,
        1.17457,
        1.24785,
        1.37165,
        1.23135,
        1.14934,
        1.29837,
        1.34277,
        1.43625,
        1.40155,
        1.45085,
        1.19764,
        1.3693,
        1.44737,
        1.61488,
        1.32341,
        1.32218,
        1.28626,
        1.51193,
        1.30014,
        1.43922,
        1.34933,
        1.41293,
        1.38543,
        1.37816,
        1.50447,
        1.23931,
        1.34626,
        1.42033,
        1.14836,
        1.31563,
        1.18751,
        1.24211,
        1.3637,
        1.27527,
        1.52046,
        1.43857,
        1.41381,
        1.50227,
        1.53595,
        1.30029,
        null,
        1.24636,
        1.37813,
        1.56882,
        1.40112,
        1.42918,
        1.39412,
        1.57425,
        1.43804,
        1.24509,
        1.3839,
        1.34595,
        1.23252,
        1.24683,
        1.24841,
        1.24726,
        1.46605,
        1.4994,
        1.38574,
        1.24391,
        1.50381,
        1.41629,
        1.2974,
        1.59825,
        1.59749,
        1.52198,
        1.54167,
        1.36464,
        1.36717,
        1.39603,
        1.21376,
        1.31822,
        1.36708,
        1.18672,
        1.30894,
        1.10283,
        1.14459,
        1.33051,
        1.16187,
        1.33742,
        1.31955,
        1.41564,
        1.36934,
        1.15983,
        1.29503,
        1.36943,
        1.3759,
        1.35636,
        1.27118,
        1.30931,
        1.30734,
        1.44465,
        1.38792,
        1.45519,
        1.37115,
        1.51931,
        1.47304,
        1.39657,
        1.31983,
        1.28816,
        1.33033,
        1.25073,
        1.37629,
        1.25797,
        1.3732,
        1.23546,
        1.26095,
        1.3433,
        1.20832,
        1.25817,
        1.4317,
        1.26951,
        1.29776,
        1.28419,
        1.29768,
        1.308,
        1.35417,
        1.35552,
        1.3443,
        1.26826,
        1.30425,
        1.28758,
        1.27512,
        1.40746,
        1.35348,
        1.25243,
        1.28331,
        1.5297,
        1.46555,
        1.49023,
        1.36661,
        1.24635,
        1.38773,
        1.33085,
        1.40537,
        1.36778,
        1.45131,
        1.37675,
        1.3575,
        1.39796,
        1.32514,
        1.46748,
        1.40717,
        1.45699,
        1.44153,
        1.36464,
        1.30543,
        1.3892,
        1.40559,
        1.42247,
        1.33635,
        1.33133,
        1.42085,
        1.36909,
        1.29462,
        1.30241,
        1.34826,
        1.29011,
        1.48505,
        1.40279,
        1.36811,
        1.38949,
        1.27765,
        1.40687,
        1.28356,
        1.42548,
        1.30742,
        1.32464,
        1.36443,
        1.26532,
        1.40042,
        1.33533,
        1.37294,
        1.38698,
        1.31485,
        1.24309,
        1.31743,
        1.27326,
        1.38803,
        1.34755,
        1.45754,
        1.27092,
        1.19583,
        1.32391,
        1.43005,
        1.47678,
        1.46871,
        1.42808,
        1.41676,
        1.30699,
        1.3079,
        1.32865,
        1.38864,
        1.41725,
        1.46362,
        1.43256,
        1.42015,
        1.35976,
        1.37439,
        1.45091,
        1.3822,
        1.35939,
        1.30668,
        1.27686,
        1.37298,
        1.31652,
        1.36013,
        1.3869,
        1.39317,
        1.31833,
        1.27995,
        1.45952,
        1.36657,
        1.34859,
        1.40606,
        1.42132,
        1.39695,
        1.40589,
        1.37894,
        1.42795,
        1.32011,
        1.30771,
        1.41087,
        1.40494,
        1.40992,
        1.20807,
        1.25616,
        1.32431,
        1.41502,
        1.25378,
        1.41185,
        1.42831,
        1.40367,
        1.35013,
        1.29538,
        1.38361,
        1.31027,
        1.33451,
        1.33424,
        1.2992,
        1.3391,
        1.2789,
        1.31863,
        1.37006,
        1.35576,
        1.32655,
        1.37296,
        1.28751,
        1.34545,
        1.26966,
        1.37307,
        1.38711,
        1.4063,
        1.29397,
        1.12953,
        1.13472,
        1.24858,
        1.34992,
        1.52896,
        1.36004,
        1.39998,
        1.40443,
        1.37466,
        1.35135,
        1.35607,
        1.46074,
        1.29997,
        1.33223,
        1.34077,
        1.37076,
        1.35639,
        1.2966,
        1.43022,
        1.37914,
        1.41616,
        1.45541,
        1.3484,
        1.40754,
        1.36172,
        1.32903,
        1.26678,
        1.26131,
        1.35271,
        1.28685,
        1.33484,
        1.33846,
        1.35154,
        1.33003,
        1.36845,
        1.39003,
        1.3982,
        1.28767,
        1.34426,
        1.28952,
        1.34776,
        1.36081,
        1.28533,
        1.22977,
        1.32504,
        1.37172,
        1.30554,
        1.31139,
        1.40815,
        1.28091,
        1.33299,
        1.28594,
        1.19224,
        1.28267,
        1.3338,
        1.38947,
        1.36393,
        1.33947,
        1.27627,
        1.41555,
        1.31731,
        1.19113,
        1.34592,
        1.30927,
        1.38481,
        1.3777,
        1.36471,
        1.36554,
        1.31915,
        1.45864,
        1.27153,
        1.335,
        1.35123,
        1.26096,
        1.23523,
        1.30449,
        1.29802,
        1.26194,
        1.32996,
        1.31152,
        1.29198,
        1.27696,
        1.39339,
        1.36751,
        1.36862,
        1.38484,
        1.36362,
        1.20173,
        1.27463,
        1.25375,
        1.37856,
        1.37525,
        1.36651,
        1.31234,
        1.29072,
        1.24006,
        1.32723,
        1.46319,
        1.37496,
        1.31993,
        1.43312,
        1.36111,
        1.25973,
        1.20701,
        1.32642,
        1.38459,
        1.34357,
        1.33495,
        1.36209,
        1.30107,
        1.28866,
        1.22276,
        1.3198,
        1.3485,
        1.26613,
        1.36436,
        1.39169,
        1.39367,
        1.37454,
        1.36136,
        1.34373,
        1.35818,
        1.38477,
        1.17738,
        1.40089,
        1.36888,
        1.27411,
        1.3515,
        1.41825,
        1.3419,
        1.30883,
        1.3101,
        1.22176,
        1.32387,
        1.4083,
        1.47468,
        1.45912,
        1.35511,
        1.33396,
        1.43205,
        1.33838,
        1.31604,
        1.36398,
        1.39687,
        1.37154,
        1.27435,
        1.35509,
        1.34744,
        1.48156,
        1.28182,
        1.38639,
        1.34913,
        1.28816,
        1.32648,
        1.3674,
        1.31832,
        1.33476,
        1.35881,
        1.37117,
        1.35509,
        1.33906,
        1.43414,
        1.31528,
        1.33538,
        1.22172,
        1.41871,
        1.39156,
        1.2915,
        1.31547,
        1.3249,
        1.32347,
        1.23465,
        1.41104,
        1.25152,
        1.42102,
        1.32655,
        1.3086,
        1.28515,
        1.27633,
        1.3026,
        1.41073,
        1.23804,
        1.29983,
        1.23364,
        1.3873,
        1.37202,
        1.52814,
        1.40557,
        1.3293,
        1.49001,
        1.35337,
        1.43049,
        1.48688,
        1.20351,
        1.40182,
        1.37514,
        1.54102,
        1.48133,
        1.24362,
        1.38911,
        1.45557,
        1.33035,
        1.53509,
        1.29132,
        1.21086,
        1.37483,
        1.45392,
        1.3307,
        1.50837,
        1.33609,
        1.25854,
        1.37539,
        1.55979,
        1.66748,
        1.49813,
        1.43061,
        1.3332,
        1.39781,
        1.31628,
        1.33158,
        1.32089,
        1.45993,
        1.39418,
        1.4452,
        1.45735,
        1.29393,
        1.38647,
        1.49469,
        1.58588,
        1.44791,
        1.58201,
        1.27531,
        1.26667,
        1.42191,
        1.52232,
        1.41004,
        1.57715,
        1.39426,
        1.56594,
        1.53333,
        1.66969,
        1.36411,
        1.14152,
        1.27094,
        1.5438,
        1.33407,
        1.50119,
        1.31454,
        1.1448,
        1.4354,
        1.82405,
        1.48362,
        1.50412,
        2.47856,
        1.87765,
        1.68345,
        1.7152,
        1.69032,
        1.85433,
        1.57466,
        1.57248,
        1.5743,
        1.53584,
        1.16114,
        1.33921,
        1.49546,
        1.5333,
        1.50459,
        1.34296,
        1.48012,
        1.444,
        1.37641,
        1.41187,
        1.44379,
        1.32378,
        1.32493,
        1.53148,
        1.45945,
        1.43606,
        1.21831,
        1.30865,
        1.41145,
        1.34522,
        1.31285,
        1.30779,
        1.31885,
        1.44523,
        1.40784,
        1.35989,
        1.36929,
        1.43439,
        1.41276,
        1.42611,
        1.41717,
        1.45445,
        1.29619,
        1.22054,
        1.38798,
        1.32561,
        1.37221,
        1.40144,
        1.46907,
        1.40141,
        1.37435,
        1.29167,
        1.3045,
        1.36329,
        1.39657,
        1.37875,
        1.45531,
        1.37596,
        1.22847,
        1.49624,
        1.38417,
        1.3439,
        1.32569,
        1.40375,
        1.44871,
        1.40263,
        1.40494,
        1.51644,
        1.38669,
        1.43472,
        1.37125,
        1.31819,
        1.32636,
        1.37196,
        1.3077,
        1.34112,
        1.38436,
        1.28503,
        1.31859,
        1.31955,
        1.34171,
        1.33932,
        1.43647,
        1.45104,
        1.35734,
        1.26198,
        1.35636,
        1.35374,
        1.32429,
        1.3375,
        1.34844,
        1.36236,
        1.4166,
        1.41943,
        1.42203,
        1.43881,
        1.35362,
        1.39316,
        1.37988,
        1.41107,
        1.34066,
        1.27751,
        1.42042,
        1.36107,
        1.33934,
        1.31832,
        1.2943,
        1.3361,
        1.3676,
        1.4254,
        1.33434,
        1.31431,
        1.34902,
        1.41709,
        1.48202,
        1.39541,
        1.29166,
        1.3826,
        1.30197,
        1.40312,
        1.37259,
        1.30507,
        1.34337,
        1.39062,
        1.28129,
        1.39923,
        1.34096,
        1.38253,
        1.42103,
        1.35559,
        1.32866,
        1.37519,
        1.43117,
        1.31063,
        1.45269,
        1.41755,
        1.36377,
        1.28668,
        1.39027,
        1.33762,
        1.36248,
        1.30733,
        1.3651,
        1.3085,
        1.45785,
        1.25729,
        1.51826,
        1.37885,
        1.31049,
        1.49649,
        1.39404,
        1.42805,
        1.53323,
        1.49646,
        1.4179,
        1.4116,
        1.47949,
        1.39732,
        1.31078,
        1.29144,
        1.3788,
        1.27021,
        1.35034,
        1.35742,
        1.34271,
        1.23709,
        1.39477,
        1.31542,
        1.34732,
        1.34632,
        1.4161,
        1.39902,
        1.41784,
        1.42059,
        1.29508,
        1.34626,
        1.2644,
        1.32823,
        1.29496,
        1.35003,
        1.32831,
        1.37751,
        1.37543,
        1.38032,
        1.42106,
        1.38687,
        1.38531,
        1.41723,
        1.39428,
        1.32485,
        1.38732,
        1.32003,
        1.39703,
        1.35659,
        1.31318,
        1.41631,
        1.31593,
        1.38319,
        1.45206,
        1.33354,
        1.21879,
        1.32727,
        1.36299,
        1.30357,
        1.30643,
        1.3505,
        1.35349,
        1.38726,
        1.35283,
        1.38252,
        1.377,
        1.32269,
        1.31446,
        1.36887,
        1.28719,
        1.37423,
        1.39567,
        1.31586,
        1.32461,
        1.29781,
        1.31934,
        1.23965,
        1.288,
        1.2879,
        1.38172,
        1.3217,
        1.35985,
        1.2722,
        1.3038,
        1.25915,
        1.26423,
        1.39318,
        1.30315,
        1.2674,
        1.35352,
        1.40245,
        1.36019,
        1.33668,
        1.365,
        1.31431,
        1.40154,
        1.3899,
        1.37063,
        1.42797,
        1.34502,
        1.32417,
        1.3952,
        1.35699,
        1.35614,
        1.41461,
        1.33821,
        1.48628,
        1.38245,
        1.40217,
        1.26833,
        1.31258,
        1.30555,
        1.43385,
        1.40724,
        1.26835,
        1.29561,
        1.39897,
        1.46156,
        1.23569,
        1.40096,
        1.30921,
        1.39246,
        1.40864,
        1.35204,
        1.3912,
        1.41572,
        1.39059,
        1.38752,
        1.39147,
        1.35875,
        1.34216,
        1.36291,
        1.33,
        1.29379,
        1.40538,
        1.32824,
        1.20725,
        1.28219,
        1.33126,
        1.27826,
        1.34619,
        1.32882,
        1.45365,
        1.41578,
        1.36455,
        1.30875,
        1.32958,
        1.31354,
        1.33354,
        1.36703,
        1.3373,
        1.42967,
        1.35482,
        1.34842,
        1.35508,
        1.37121,
        1.3678,
        1.30668,
        1.36272,
        1.44641,
        1.35714,
        1.2828,
        1.31628,
        1.32701,
        1.31639,
        1.41421,
        1.46736,
        1.40137,
        1.3936,
        1.29709,
        1.36264,
        1.38278,
        1.35415,
        1.33075,
        1.35164,
        1.3527,
        1.33735,
        1.23527,
        1.31666,
        1.32642,
        1.42654,
        1.4092,
        1.44991,
        1.40007,
        1.31618,
        1.43437,
        1.42771,
        1.3798,
        1.32422,
        1.37536,
        1.31419,
        1.38271,
        1.45285,
        1.37067,
        1.2646,
        1.34624,
        1.37438,
        1.37866,
        1.31815,
        1.3304,
        1.37552,
        1.36195,
        1.38135,
        1.3675,
        1.30265,
        1.40706,
        1.40222,
        1.39891,
        1.3221,
        1.35351,
        1.34822,
        1.33548,
        1.38332,
        1.33688,
        1.30535,
        1.39187,
        1.28015,
        1.36042,
        1.37266,
        1.45426,
        1.30881,
        1.3936,
        1.38753,
        1.326,
        1.39871,
        1.32957,
        1.3802,
        1.37884,
        1.43869,
        1.55257,
        1.39671,
        1.66445,
        1.74133,
        1.74525,
        1.41923,
        1.37717,
        1.28297,
        1.36953,
        1.36211,
        1.37796,
        1.37794,
        1.41704,
        1.48822,
        1.40787,
        1.30187,
        1.32145,
        1.38373,
        1.38532,
        1.3105,
        1.33021,
        1.37389,
        1.37317,
        1.35135,
        1.29288,
        1.3738,
        1.3918,
        1.40267,
        1.39113,
        1.40968,
        1.29295,
        1.27765,
        1.3068,
        1.41303,
        1.37142,
        1.33473,
        1.39253,
        1.38602,
        1.40212,
        1.36811,
        1.31756,
        1.37193,
        1.42146,
        1.39852,
        1.40531,
        1.38853,
        1.31334,
        1.39548,
        1.42054,
        1.38326,
        1.34178,
        1.38463,
        1.44806,
        1.44427,
        1.46892,
        1.44272,
        1.41308,
        1.36522,
        1.39964,
        1.33845,
        1.41463,
        1.32906,
        1.44924,
        1.38392,
        1.47652,
        1.37125,
        1.38448,
        1.31641,
        1.33171,
        1.42033,
        1.4202,
        1.43503,
        1.65438,
        1.74567,
        1.26513,
        1.61051,
        1.39747,
        1.1161,
        1.44237,
        1.23658,
        1.48036,
        1.47327,
        1.39004,
        1.34629,
        1.36404,
        1.31021,
        1.4499,
        1.33791,
        1.41145,
        1.31308,
        1.31042,
        1.3936,
        1.36825,
        1.28639,
        1.39681,
        1.31145,
        1.27686,
        1.31862,
        1.39174,
        1.278,
        1.297,
        1.33466,
        1.39592,
        1.43285,
        1.37113,
        1.32429,
        1.35638,
        1.43248,
        1.35906,
        1.37566,
        1.33615,
        1.33113,
        1.3654,
        1.38629,
        1.37913,
        1.43947,
        1.32271,
        1.40508,
        1.47174,
        1.3872,
        1.43579,
        1.44028,
        1.55204,
        1.55395,
        1.4439,
        1.36857,
        1.29712,
        1.33334,
        1.32703,
        1.29642,
        1.29838,
        1.35994,
        1.52786,
        1.32304,
        1.22325,
        1.40047,
        1.40353,
        1.41848,
        1.44011,
        1.38831,
        1.28453,
        1.26439,
        1.30548,
        1.36889,
        1.44185,
        1.38213,
        1.41955,
        1.36652,
        1.34289,
        1.15704,
        1.19995,
        1.44274,
        1.27904,
        1.53555,
        1.62722,
        1.58655,
        1.54091,
        1.78401,
        1.42964,
        1.57434,
        1.55425,
        1.48791,
        1.40416,
        1.26734,
        1.33566,
        1.46935,
        1.68674,
        1.5582,
        1.27418,
        1.46607,
        1.40869,
        1.32995,
        1.39712,
        1.32331,
        1.31001,
        1.51601,
        1.50723,
        1.57004,
        1.47742,
        1.43392,
        1.41522,
        1.57061,
        1.38872,
        1.36474,
        1.29002,
        1.25817,
        1.52903,
        1.33086,
        1.50638,
        1.35289,
        1.28944,
        1.35501,
        1.46318,
        1.31808,
        1.37328,
        1.20653,
        1.32871,
        1.36944,
        1.4183,
        1.57069,
        1.54295,
        1.40119,
        1.65628,
        1.75652,
        1.40179,
        1.56859,
        1.35698,
        1.42787,
        1.4338,
        1.53056,
        1.5404,
        1.50333,
        1.55083,
        1.4712,
        1.48143,
        1.40948,
        1.43843,
        1.37833,
        1.37442,
        1.33403,
        1.54411,
        1.33745,
        1.19566,
        1.53602,
        1.52003,
        1.57813,
        1.50269,
        1.47434,
        1.48625,
        1.68893,
        1.49072,
        1.4859,
        1.35643,
        1.42574,
        1.58725,
        1.5401,
        1.40247,
        1.46591,
        1.44391,
        1.44139,
        1.46234,
        1.64076,
        1.49003,
        1.96767,
        1.62704,
        1.69773,
        1.39015,
        1.71613,
        1.46571,
        1.44765,
        1.70682,
        1.66176,
        2.2966,
        null,
        1.67831,
        1.81945,
        1.5461,
        1.34569,
        1.88936,
        1.53577,
        1.66538,
        1.69247,
        1.6977,
        1.51072,
        1.60223,
        1.60091,
        1.15806,
        1.45405,
        1.51946,
        1.51393,
        1.49472,
        1.4073,
        1.62899,
        1.38847,
        1.43506,
        1.38734,
        1.72405,
        1.42584,
        1.38063,
        1.46288,
        1.47535,
        1.46924,
        1.64017,
        1.41026,
        1.53926,
        1.46927,
        1.23019,
        1.3304,
        1.36524,
        1.4415,
        1.48945,
        1.49614,
        1.50183,
        1.38451,
        1.5245,
        1.45451,
        1.50318,
        1.42158,
        1.31512,
        1.34157,
        1.46253,
        1.46245,
        1.50148,
        1.49467,
        1.45373,
        1.43156,
        1.35367,
        1.39812,
        1.41627,
        1.4172,
        1.40337,
        1.43545,
        1.38365,
        1.38217,
        1.2804,
        1.43521,
        1.39992,
        1.42689,
        1.32138,
        1.28308,
        1.43365,
        1.40427,
        1.47994,
        1.47516,
        1.44797,
        1.33637,
        1.2609,
        1.37515,
        1.38283,
        1.34054,
        1.38447,
        1.42544,
        1.39119,
        1.44901,
        1.36626,
        1.33714,
        1.36577,
        1.62096,
        1.50029,
        1.37204,
        1.4899,
        1.50764,
        1.50643,
        1.38926,
        1.42386,
        1.35165,
        1.28066,
        1.46365,
        1.50466,
        1.49172,
        1.4486,
        1.57007,
        1.49178,
        1.44096,
        1.43343,
        1.4281,
        1.54439,
        1.52447,
        1.37288,
        1.42403,
        1.4401,
        1.33154,
        1.29486,
        1.38881,
        1.37953,
        1.36916,
        1.44867,
        1.39306,
        1.41691,
        1.38079,
        1.439,
        1.31327,
        1.34745,
        1.4007,
        1.46828,
        1.44005,
        1.35509,
        1.29396,
        1.36303,
        1.36813,
        1.28082,
        1.31722,
        1.29171,
        1.35891,
        1.34062,
        1.45801,
        1.40595,
        1.47342,
        1.40523,
        1.43679,
        1.38788,
        1.42139,
        1.42628,
        1.46563,
        1.40767,
        1.42918,
        1.48747,
        1.45245,
        1.49234,
        1.50953,
        1.44494,
        1.40157,
        1.43009,
        1.38921,
        1.41992,
        1.42407,
        1.53116,
        1.44284,
        1.48189,
        1.45811,
        1.50732,
        1.42409,
        1.41164,
        1.45424,
        1.49062,
        1.55598,
        1.37352,
        1.32064,
        1.42237,
        1.46286,
        1.43054,
        1.37735,
        1.39295,
        1.4608,
        1.37263,
        1.41048,
        1.46011,
        1.431,
        1.3893,
        1.37718,
        1.33244,
        1.45404,
        1.39168,
        1.30852,
        1.43102,
        1.4407,
        1.48917,
        1.41592,
        1.3792,
        1.4195,
        1.47668,
        1.40109,
        1.37976,
        1.38086,
        1.42282,
        1.43256,
        1.36102,
        1.36115,
        1.3333,
        1.36993,
        1.34923,
        1.28831,
        1.36521,
        1.44482,
        1.42736,
        1.45522,
        1.41706,
        1.42868,
        1.43483,
        1.32477,
        1.4007,
        1.3252,
        1.45821,
        1.47692,
        1.38369,
        1.28137,
        1.42261,
        1.58502,
        1.43365,
        1.41085,
        1.36118,
        1.41017,
        1.38565,
        1.36992,
        1.40772,
        1.39549,
        1.41844,
        1.38564,
        1.35544,
        1.4278,
        1.44656,
        1.43344,
        1.37359,
        1.40802,
        1.28308,
        1.36141,
        1.37224,
        1.42332,
        1.43693,
        1.42,
        1.41228,
        1.32017,
        1.2673,
        1.40484,
        1.44521,
        1.46193,
        1.45566,
        1.41364,
        1.3773,
        1.35043,
        1.40311,
        1.31224,
        1.38007,
        1.41068,
        1.37734,
        1.3462,
        1.42327,
        1.38347,
        1.35727,
        1.41088,
        1.46998,
        1.42076,
        1.36348,
        1.50292,
        1.32904,
        1.40235,
        1.36495,
        1.41543,
        1.42691,
        1.44628,
        1.38272,
        1.36401,
        1.361,
        1.34095,
        1.34596,
        1.34472,
        1.29056,
        1.32355,
        1.34423,
        1.48471,
        1.41202,
        1.39588,
        1.4035,
        1.37737,
        1.45689,
        1.54515,
        1.42199,
        1.45507,
        1.38481,
        1.43354,
        1.4265,
        1.43846,
        1.48572,
        1.50053,
        1.46096,
        1.38569,
        1.44978,
        1.34921,
        1.45251,
        1.42846,
        1.47101,
        1.39211,
        1.38568,
        1.3625,
        1.41294,
        1.40062,
        1.33397,
        1.36745,
        1.39437,
        1.37425,
        1.37455,
        1.42374,
        1.39561,
        1.44552,
        1.37934,
        1.48854,
        1.46004,
        1.39329,
        1.41791,
        1.38776,
        1.3683,
        1.44415,
        1.42786,
        1.46172,
        1.50077,
        1.45042,
        1.35678,
        1.46521,
        1.37653,
        1.3595,
        1.29364,
        1.36242,
        1.43775,
        1.47694,
        1.35411,
        1.37162,
        1.42467,
        1.47677,
        1.4044,
        1.42994,
        1.43809,
        1.31595,
        1.30552,
        1.30644,
        1.36062,
        1.47411,
        1.41898,
        1.41979,
        1.41061,
        1.40652,
        1.42962,
        1.47627,
        1.38773,
        1.36968,
        1.44143,
        1.49096,
        1.42895,
        1.38342,
        1.34929,
        1.44271,
        1.43839,
        1.38445,
        1.4665,
        1.52883,
        1.45388,
        1.38681,
        1.41563,
        1.39924,
        1.44605,
        1.45056,
        1.34243,
        1.31133,
        1.33777,
        1.36589,
        1.37486,
        1.37401,
        1.32424,
        1.39308,
        1.47291,
        1.28847,
        1.32544,
        1.3473,
        1.32834,
        1.49583,
        1.48405,
        1.40972,
        1.36059,
        1.33193,
        1.33221,
        1.44203,
        1.45104,
        1.38875,
        1.41133,
        1.46222,
        1.4831,
        1.39495,
        1.46497,
        1.49421,
        1.49216,
        1.42176,
        1.32719,
        1.39732,
        1.53698,
        1.41942,
        1.33813,
        1.31163,
        1.40131,
        1.37046,
        1.37082,
        1.4725,
        1.4546,
        1.35935,
        1.40756,
        1.36344,
        1.38456,
        1.38725,
        1.41633,
        1.495,
        1.30677,
        1.45518,
        1.53293,
        1.45123,
        1.51621,
        1.5088,
        1.49462,
        1.34412,
        1.38813,
        1.47374,
        1.49979,
        1.53615,
        1.39109,
        1.24609,
        1.41813,
        1.30445,
        1.54084,
        1.4896,
        1.48652,
        1.53949,
        1.52047,
        1.45797,
        1.55042,
        1.51966,
        1.31843,
        1.52402,
        1.61373,
        1.54624,
        1.63752,
        1.49968,
        1.80134,
        1.32571,
        1.58323,
        1.49628,
        1.40789,
        1.405,
        1.42917,
        1.34572,
        1.46446,
        1.50885,
        1.41423,
        1.4105,
        1.4326,
        1.48466,
        1.5383,
        1.51977,
        1.41103,
        1.44177,
        1.38679,
        1.52943,
        1.41223,
        1.46317,
        1.51187,
        1.45821,
        1.39632,
        1.36307,
        1.44198,
        1.43693,
        1.27986,
        1.37957,
        1.41002,
        1.25205,
        1.33651,
        1.42129,
        1.41895,
        1.4297,
        1.43984,
        1.47687,
        1.44294,
        1.34849,
        1.34869,
        1.46259,
        1.56531,
        1.55328,
        1.55203,
        1.64532,
        1.42557,
        1.32727,
        1.38199,
        1.49346,
        1.5258,
        1.59098,
        1.42697,
        1.43899,
        1.49249,
        1.51197,
        1.58626,
        1.53058,
        1.44859,
        1.50414,
        1.61852,
        1.42685,
        1.52335,
        1.43146,
        1.44527,
        1.5177,
        1.60421,
        1.43628,
        1.39011,
        1.40096,
        1.47806,
        1.47987,
        1.42827,
        1.42342,
        1.45986,
        1.6237,
        1.40843,
        1.41368,
        1.45093,
        1.39268,
        1.44719,
        1.46961,
        1.6378,
        1.48859,
        1.44202,
        1.54038,
        1.49595,
        1.46026,
        1.50334,
        1.45268,
        1.49009,
        1.53066,
        1.55867,
        1.43212,
        1.44458,
        1.44826,
        1.47373,
        1.45048,
        1.4841,
        1.47057,
        1.50004,
        1.51032,
        1.52763,
        1.58266,
        1.57257,
        1.53896,
        1.45028,
        1.56729,
        1.53492,
        1.6533,
        1.52116,
        1.50548,
        1.5086,
        1.54562,
        1.70959,
        1.55343,
        1.63079,
        1.48383,
        1.5473,
        1.63297,
        1.64725,
        1.47898,
        1.54569,
        1.35015,
        1.65275,
        1.69377,
        1.72425,
        1.61236,
        1.48995,
        1.6193,
        1.54653,
        1.51577,
        1.66122,
        1.60711,
        1.57533,
        1.39413,
        1.39558,
        1.56,
        1.51298,
        1.54352,
        1.54134,
        1.56535,
        1.54478,
        1.60412,
        1.44539,
        1.44425,
        1.49853,
        1.63591,
        1.63085,
        1.7701,
        1.51719,
        1.52723,
        1.5182,
        1.57208,
        1.5462,
        1.57626,
        1.57868,
        1.61145,
        1.57974,
        1.4592,
        1.47367,
        1.52506,
        1.50193,
        1.57177,
        1.41075,
        1.58715,
        1.67575,
        1.59923,
        1.48298,
        1.49664,
        1.54298,
        1.54816,
        1.54385,
        1.52624,
        1.64258,
        1.59149,
        1.57396,
        1.48503,
        1.54225,
        1.70149,
        1.68149,
        1.58965,
        1.58846,
        1.64208,
        1.53011,
        1.54164,
        1.51421,
        1.55004,
        1.60391,
        1.48509,
        1.56974,
        1.53512,
        1.41638,
        1.39944,
        1.48084,
        1.55325,
        1.64592,
        1.49179,
        1.42409,
        1.40644,
        1.62238,
        1.51921,
        1.52291,
        1.59146,
        1.54779,
        1.36954,
        1.59674,
        1.63281,
        1.48098,
        1.60246,
        1.42484,
        1.35826,
        1.44412,
        1.46621,
        1.42608,
        1.56554,
        1.52173,
        1.59579,
        1.55632,
        1.44275,
        1.49665,
        1.56911,
        1.50586,
        1.71696,
        1.64117,
        1.97859,
        1.67226,
        1.54675,
        1.88336,
        1.99641,
        2.1604,
        1.82191,
        1.80229,
        1.60185,
        1.61986,
        1.7201,
        1.48369,
        1.51841,
        1.52876,
        1.27266,
        1.33486,
        1.4253,
        1.34364,
        1.45856,
        1.42074,
        1.43073,
        1.37505,
        1.40554,
        1.45805,
        null,
        2.0043,
        1.62562,
        1.85449,
        1.64367,
        1.54082,
        1.57938,
        1.73548,
        1.76181,
        1.76413,
        1.76378,
        1.63214,
        1.62054,
        1.68094,
        1.61537,
        2.00895,
        1.47012,
        1.48603,
        1.74303,
        1.73896,
        1.53806,
        1.44815,
        1.60596,
        1.76491,
        1.58766,
        1.66456,
        1.56159,
        1.56667,
        1.68401,
        1.42237,
        2.07615,
        1.72956,
        1.59086,
        1.75308,
        1.77914,
        1.83686,
        1.76211,
        1.82496,
        1.51573,
        1.68559,
        1.69834,
        1.80764,
        1.68084,
        1.65021,
        1.64634,
        1.76209,
        1.6943,
        1.78213,
        1.79298,
        1.84751,
        2.19749,
        2.12794,
        1.93982,
        1.86874,
        2.05223,
        null,
        1.4892,
        2.05381,
        1.78712,
        1.46599,
        1.58289,
        1.61803,
        1.32158,
        1.5113,
        1.82581,
        1.32782,
        1.92999,
        2.0331,
        1.54985,
        1.6852,
        1.36553,
        1.38233,
        1.54582,
        1.53309,
        1.37926,
        1.58474,
        1.40411,
        1.78235,
        1.81122,
        1.65021,
        1.57193,
        1.56066,
        1.9497,
        1.7629,
        1.78212,
        1.6617,
        1.59701,
        1.53145,
        1.39486,
        1.25962,
        1.52485,
        1.59466,
        1.56485,
        1.40993,
        1.39837,
        1.64348,
        1.49331,
        1.4977,
        1.39358,
        1.40724,
        1.46892,
        1.75043,
        1.45757,
        1.37792,
        1.42784,
        1.39655,
        1.48682,
        1.4056,
        1.57986,
        1.49671,
        1.6996,
        1.63188,
        1.67293,
        1.63247,
        1.47159,
        1.45312,
        1.42172,
        1.50647,
        1.60937,
        1.70956,
        1.42546,
        1.21495,
        1.44603,
        1.52892,
        1.317,
        1.45706,
        1.42321,
        1.44271,
        1.4634,
        1.41493,
        1.31461,
        1.32333,
        1.62625,
        1.53931,
        1.45282,
        1.59812,
        1.62654,
        1.48123,
        1.36887,
        1.20204,
        1.59054,
        1.6035,
        1.39922,
        1.68906,
        1.82974,
        1.77967,
        1.79582,
        1.96629,
        1.70823,
        1.46258,
        1.54247,
        1.64969,
        1.53455,
        1.48528,
        1.46274,
        1.22849,
        1.32738,
        1.19057,
        1.42516,
        1.38705,
        1.38309,
        1.58226,
        1.43408,
        1.41461,
        1.51242,
        1.41771,
        1.59465,
        1.71889,
        1.61699,
        1.55492,
        1.39538,
        1.42525,
        1.55486,
        1.41326,
        1.41733,
        1.59127,
        1.388,
        1.35152,
        1.53393,
        1.54965,
        1.2899,
        1.44583,
        1.35237,
        1.49809,
        1.40912,
        1.44297,
        1.68362,
        1.40199,
        1.50022,
        1.38817,
        1.54171,
        1.49315,
        1.43272,
        1.56076,
        1.53485,
        1.66042,
        1.40755,
        1.36934,
        1.43838,
        1.39565,
        1.38527,
        1.38808,
        1.53893,
        1.54774,
        1.42017,
        1.35217,
        1.55427,
        1.48348,
        1.52487,
        1.4103,
        1.49642,
        1.61776,
        1.2673,
        1.42828,
        1.29354,
        1.4937,
        1.61886,
        1.56921,
        1.28599,
        1.2635,
        1.44081,
        1.46705,
        1.31779,
        1.48747,
        1.48573,
        1.51959,
        1.38516,
        1.54852,
        1.55423,
        1.40555,
        1.44569,
        1.57213,
        1.35793,
        1.49351,
        1.42046,
        1.48842,
        1.58853,
        1.54706,
        1.38286,
        1.2843,
        1.30314,
        1.4979,
        1.46631,
        1.53832,
        1.45702,
        1.4903,
        1.51396,
        1.36033,
        1.51896,
        1.49827,
        1.40917,
        1.33478,
        1.38742,
        1.41261,
        1.48064,
        1.58026,
        1.42168,
        1.48637,
        1.36724,
        1.52544,
        1.36245,
        1.45894,
        1.47215,
        1.39283,
        1.47778,
        1.61135,
        1.60371,
        1.51762,
        1.35137,
        1.45704,
        1.50247,
        1.41693,
        1.21624,
        1.51924,
        1.69781,
        1.80219,
        1.3411,
        1.68804,
        1.44166,
        1.31642,
        1.48562,
        1.69377,
        1.6185,
        1.43857,
        1.45409,
        1.48799,
        1.71669,
        1.59745,
        1.46237,
        1.57397,
        1.53497,
        1.42603,
        1.38283,
        1.44,
        1.3271,
        1.33431,
        1.45213,
        1.4651,
        1.4277,
        1.46983,
        1.47962,
        1.49158,
        1.68313,
        1.41753,
        1.44362,
        1.3598,
        1.24636,
        1.54962,
        1.51797,
        1.4727,
        1.31518,
        1.53312,
        1.43308,
        1.4626,
        1.53212,
        1.40207,
        1.3749,
        1.54755,
        1.61715,
        1.66362,
        1.53178,
        1.50718,
        1.38462,
        1.38611,
        1.47045,
        1.49068,
        1.62697,
        1.46283,
        1.35359,
        1.41081,
        1.43376,
        1.50513,
        1.66626,
        1.52205,
        1.61579,
        1.50159,
        1.42836,
        1.50818,
        1.48236,
        1.38227,
        1.49559,
        1.47425,
        1.60284,
        1.5275,
        1.44034,
        1.39047,
        1.38076,
        1.49595,
        1.54942,
        1.45696,
        1.38612,
        1.49772,
        1.43184,
        1.52929,
        1.4685,
        1.38729,
        1.46817,
        1.4079,
        1.50663,
        1.43857,
        1.39599,
        1.40535,
        1.5131,
        1.46035,
        1.38201,
        1.38981,
        1.4579,
        1.3124,
        1.40796,
        1.48794,
        1.47191,
        1.31297,
        1.47333,
        1.48404,
        1.42848,
        1.39532,
        1.40518,
        1.51786,
        1.49738,
        1.40559,
        1.29346,
        1.36817,
        1.41077,
        1.35123,
        1.41081,
        1.38768,
        1.27221,
        1.36918,
        1.5234,
        1.41291,
        1.41479,
        1.54221,
        1.43167,
        1.41046,
        1.41846,
        1.35029,
        1.32398,
        1.43559,
        1.48941,
        1.29339,
        1.35931,
        1.42282,
        1.42635,
        1.31388,
        1.3953,
        1.46772,
        1.41666,
        1.3635,
        1.49143,
        1.43248,
        1.41632,
        1.39622,
        1.46463,
        1.44434,
        1.67054,
        1.58724,
        1.79018,
        1.74893,
        1.3753,
        1.5309,
        1.53212,
        1.4797,
        1.57316,
        1.44855,
        1.31448,
        1.28863,
        1.42155,
        1.43836,
        1.39469,
        1.2721,
        1.32707,
        1.38106,
        1.45728,
        1.44826,
        1.38232,
        1.404,
        1.39989,
        1.34753,
        1.40721,
        1.31026,
        1.49053,
        1.51041,
        1.47024,
        1.47493,
        1.4932,
        1.32801,
        1.30617,
        1.38925,
        1.44389,
        1.40638,
        1.42867,
        1.49852,
        1.57771,
        1.53379,
        1.46011,
        1.49343,
        1.49179,
        1.55525,
        1.43981,
        1.45208,
        1.44142,
        1.46143,
        1.47172,
        1.52607,
        1.39143,
        1.35351,
        1.28605,
        1.43302,
        1.44965,
        1.50665,
        1.4192,
        1.26671,
        1.37498,
        1.43582,
        1.35647,
        1.44473,
        1.52306,
        1.5144,
        1.45423,
        1.45905,
        1.40067,
        1.35938,
        1.37913,
        1.46394,
        1.62439,
        1.54409,
        1.45742,
        1.38185,
        1.45378,
        1.37608,
        1.53708,
        1.38515,
        1.57603,
        1.3975,
        1.33316,
        1.50313,
        1.38215,
        1.46116,
        1.40172,
        1.27491,
        1.23964,
        1.26072,
        1.39506,
        1.39115,
        1.58839,
        1.58108,
        1.47582,
        1.51072,
        1.44849,
        1.37221,
        1.45922,
        1.25502,
        1.56769,
        1.47872,
        1.56359,
        1.38686,
        1.36513,
        1.53675,
        1.43619,
        1.53783,
        1.55946,
        1.46539,
        1.42431,
        1.45297,
        1.42277,
        1.39208,
        1.46924,
        1.49937,
        1.53288,
        1.49868,
        1.27163,
        1.29119,
        1.38775,
        1.34976,
        1.32199,
        1.34408,
        1.52547,
        1.52593,
        1.54451,
        1.64093,
        1.45542,
        1.4841,
        1.33569,
        1.37492,
        1.37278,
        1.32581,
        1.39445,
        1.45204,
        1.43291,
        1.42565,
        1.4997,
        1.44873,
        1.48747,
        1.44433,
        1.49381,
        1.46281,
        1.52833,
        1.41787,
        1.48609,
        1.49577,
        1.28885,
        1.37786,
        1.37294,
        1.47541,
        1.35691,
        1.33213,
        1.27038,
        1.37234,
        1.45101,
        1.53177,
        1.43017,
        1.4041,
        1.42254,
        1.50341,
        1.36711,
        1.32341,
        1.3838,
        1.25365,
        1.38561,
        1.50883,
        1.47663,
        1.33921,
        1.48257,
        1.5284,
        1.37109,
        1.42361,
        1.48511,
        1.33254,
        1.23857,
        1.43885,
        1.4125,
        1.42393,
        1.35908,
        1.42384,
        1.51904,
        1.48586,
        1.42857,
        1.55525,
        1.42569,
        1.37238,
        1.47149,
        1.48552,
        1.43564,
        1.43076,
        1.55285,
        1.53783,
        1.58208,
        1.45254,
        1.53048,
        1.5624,
        1.43436,
        1.51555,
        1.50773,
        1.45763,
        1.36346,
        1.51932,
        1.47995,
        1.49797,
        1.40366,
        1.53811,
        1.41735,
        1.37017,
        1.42456,
        1.41574,
        1.52893,
        1.4795,
        1.33765,
        1.44789,
        1.43992,
        1.48358,
        1.42887,
        1.4188,
        1.503,
        1.4731,
        1.51226,
        1.39881,
        1.41537,
        1.38585,
        1.45443,
        1.38996,
        1.39417,
        1.40656,
        1.4257,
        1.42495,
        1.4201,
        1.49223,
        1.46136,
        1.40447,
        1.41717,
        1.43854,
        1.32697,
        1.36892,
        1.42116,
        1.39442,
        1.39365,
        1.36083,
        1.44826,
        1.60107,
        1.52926,
        1.52021,
        1.44279,
        1.3834,
        1.43173,
        1.38012,
        1.49322,
        1.42684,
        1.42949,
        1.41663,
        1.44299,
        1.51171,
        1.44915,
        1.41545,
        1.47869,
        1.61503,
        1.58573,
        1.58252,
        1.41841,
        1.43851,
        1.3314,
        1.52679,
        1.44797,
        1.46758,
        1.5834,
        1.37152,
        1.45187,
        1.4654,
        1.44979,
        1.45391,
        1.41202,
        1.38921,
        1.36978,
        1.34889,
        1.38125,
        1.51806,
        1.47929,
        1.39657,
        1.38593,
        1.42903,
        1.40494,
        1.36957,
        1.37775,
        1.35583,
        1.47002,
        1.53932,
        1.49133,
        1.48779,
        1.40371,
        1.42177,
        1.51942,
        1.56567,
        1.56311,
        1.48143,
        1.44684,
        1.49865,
        1.48414,
        1.51516,
        1.38007,
        1.38504,
        1.4521,
        1.46523,
        1.54064,
        1.48345,
        1.44307,
        1.43578,
        1.54445,
        1.50869,
        1.42533,
        1.38382,
        1.45926,
        1.46976,
        1.44311,
        1.38275,
        1.59078,
        1.52586,
        1.47131,
        1.68969,
        1.69205,
        1.54443,
        1.6378,
        1.37775,
        1.56298,
        1.51204,
        1.50029,
        1.62495,
        1.40716,
        1.35679,
        1.41007,
        1.44166,
        1.52514,
        1.55018,
        1.39407,
        1.47778,
        1.38856,
        1.43909,
        1.50585,
        1.50496,
        1.47973,
        1.51717,
        1.49628,
        1.4963,
        1.38794,
        1.56646,
        1.42449,
        1.50416,
        1.33415,
        1.44781,
        1.46526,
        1.50558,
        1.44819,
        1.49891,
        1.39732,
        1.4274,
        1.56738,
        1.55113,
        1.52729,
        1.50981,
        1.53155,
        1.46186,
        1.4895,
        1.48115,
        1.37902,
        1.47588,
        1.45482,
        1.513,
        1.48991,
        1.4306,
        1.4513,
        1.45424,
        1.50377,
        1.28139,
        1.4283,
        1.52198,
        1.51182,
        1.6228,
        1.51417,
        1.47858,
        1.40607,
        1.4512,
        1.57196,
        1.50152,
        1.44406,
        1.45856,
        1.49719,
        1.45385,
        1.53637,
        1.63117,
        1.57306,
        1.52171,
        1.49108,
        1.39263,
        1.45086,
        1.52745,
        1.47851,
        1.37843,
        1.4357,
        1.44195,
        1.44958,
        1.41252,
        1.38016,
        1.49445,
        1.48324,
        1.51246,
        1.58913,
        1.72741,
        1.53522,
        1.60944,
        1.65254,
        1.54084,
        1.52413,
        1.47245,
        1.53487,
        1.50458,
        1.52278,
        1.3973,
        1.47747,
        1.25467,
        1.39395,
        1.4096,
        1.4731,
        1.51466,
        1.58334,
        1.43786,
        1.43009,
        1.39565,
        1.40107,
        1.43503,
        1.35002,
        1.45772,
        1.459,
        1.42206,
        1.54775,
        1.55218,
        1.43896,
        1.59381,
        1.38222,
        1.45432,
        1.40944,
        1.45306,
        1.43459,
        1.48794,
        1.41202,
        1.49151,
        1.52579,
        1.60246,
        1.36529,
        1.35133,
        1.44936,
        1.49924,
        1.46705,
        1.35437,
        1.55828,
        1.47007,
        1.51135,
        1.54976,
        1.43056,
        1.48275,
        1.59989,
        1.6222,
        1.53488,
        1.51098,
        1.42918,
        1.64033,
        1.60995,
        1.4851,
        1.40376,
        1.48481,
        1.50031,
        1.45691,
        1.49568,
        1.46273,
        1.4618,
        1.44408,
        1.66392,
        1.44904,
        1.38589,
        1.35952,
        1.55467,
        1.50989,
        1.51029,
        1.54892,
        1.32299,
        1.32532,
        1.55922,
        1.63542,
        1.69555,
        1.5084,
        1.35709,
        1.44961,
        1.30469,
        1.54448,
        1.41841,
        1.51567,
        1.39173,
        1.62981,
        1.48281,
        1.44564,
        1.54892,
        1.52887,
        1.5301,
        1.39986,
        1.29039,
        1.51026,
        1.57231,
        1.4811,
        1.58976,
        1.32468,
        1.73722,
        1.72609,
        1.29068,
        1.51217,
        1.58992,
        1.67358,
        1.63172,
        1.49468,
        1.45977,
        1.61836,
        1.49058,
        1.48419,
        1.48626,
        1.57241,
        1.73792,
        1.63696,
        1.50748,
        1.56507,
        1.62989,
        1.45037,
        1.55479,
        1.69022,
        1.73517,
        1.6669,
        1.61408,
        1.48984,
        1.30637,
        1.47571,
        1.50552,
        1.43556,
        1.57528,
        1.20966,
        1.46771,
        2.06992,
        null,
        1.53845,
        1.47807,
        1.44222,
        1.45887,
        1.61692,
        1.61473,
        1.65298,
        2.03717,
        1.80542,
        1.43163,
        1.79641,
        1.76569,
        1.29031,
        1.36169,
        1.39638,
        1.27871,
        1.51071,
        1.40406,
        1.47443,
        1.34897,
        1.44821,
        1.42079,
        1.43277,
        1.44619,
        1.52401,
        1.38796,
        1.27093,
        1.44268,
        1.5074,
        1.41801,
        1.46469,
        1.67285,
        1.30855,
        1.27169,
        1.33372,
        1.4041,
        1.93073,
        1.55363,
        1.57498,
        1.54651,
        1.40773,
        1.39462,
        1.50455,
        1.35075,
        1.25187,
        1.47652,
        1.34731,
        1.56881,
        1.45299,
        1.32689,
        1.49723,
        1.65695,
        1.54336,
        1.47714,
        1.54624,
        1.51044,
        1.45833,
        1.33486,
        1.40803,
        1.43657,
        1.43276,
        1.47534,
        1.37673,
        1.28828,
        1.29167,
        1.39553,
        1.37368,
        1.33594,
        1.58725,
        1.41454,
        1.31179,
        1.45195,
        1.44132,
        1.46493,
        1.57387,
        1.5761,
        1.53939,
        1.49672,
        1.40014,
        1.52246,
        1.42156,
        1.4578,
        1.40917,
        1.37839,
        1.4424,
        1.42642,
        1.5888,
        1.48148,
        1.51799,
        1.45307,
        1.42614,
        1.61057,
        1.51919,
        1.54997,
        1.48472,
        1.42714,
        1.32902,
        1.51384,
        1.42,
        1.43328,
        1.3431,
        1.41204,
        1.41517,
        1.46034,
        1.55657,
        1.39552,
        1.32605,
        1.41402,
        1.43391,
        1.36454,
        1.53702,
        1.54254,
        1.41305,
        1.48235,
        1.5294,
        1.46644,
        1.44539,
        1.33178,
        1.39207,
        1.44518,
        1.30835,
        1.28557,
        1.38301,
        1.47795,
        1.41231,
        1.48129,
        1.38107,
        1.36467,
        1.4166,
        1.36779,
        1.33382,
        1.3591,
        1.47731,
        1.34507,
        1.52067,
        1.30953,
        1.34398,
        1.39683,
        1.29313,
        1.32262,
        1.4417,
        1.54398,
        1.49879,
        1.41239,
        1.36007,
        1.42916,
        1.44326,
        1.44158,
        1.42594,
        1.40833,
        1.46852,
        1.44047,
        1.5685,
        1.48485,
        1.39897,
        1.36142,
        1.44965,
        1.45719,
        1.35293,
        1.36639,
        1.43012,
        1.3183,
        1.46358,
        1.49227,
        1.36243,
        1.46842,
        1.32909,
        1.36243,
        1.37035,
        1.3394,
        1.43183,
        1.42565,
        1.46721,
        1.40821,
        1.33317,
        1.38388,
        1.37005,
        1.39262,
        1.45393,
        1.51492,
        1.49259,
        1.37888,
        1.41963,
        1.39506,
        1.37035,
        1.49429,
        1.38037,
        1.3836,
        1.35104,
        1.56849,
        1.36956,
        1.37163,
        1.4598,
        1.48421,
        1.51725,
        1.45106,
        1.42099,
        1.54004,
        1.25906,
        1.27452,
        1.41071,
        1.42583,
        1.49186,
        1.43285,
        1.38022,
        1.48246,
        1.50239,
        1.31102,
        1.38253,
        1.30241,
        1.26605,
        1.42026,
        1.46734,
        1.43888,
        1.43246,
        1.3833,
        1.4366,
        1.45173,
        1.46405,
        1.43317,
        1.57603,
        1.43247,
        1.49085,
        1.42859,
        1.37346,
        1.3383,
        1.39918,
        1.48417,
        1.48654,
        1.50801,
        1.47633,
        1.41024,
        1.42522,
        1.52138,
        1.48722,
        1.46041,
        1.31017,
        1.34723,
        1.42315,
        1.47119,
        1.48332,
        1.52903,
        1.51619,
        1.34316,
        1.4051,
        1.44911,
        1.44185,
        1.31167,
        1.4722,
        1.31578,
        1.32197,
        1.32596,
        1.51478,
        1.54708,
        1.46568,
        1.43681,
        1.47248,
        1.48198,
        1.38187,
        1.43055,
        1.401,
        1.36381,
        1.49818,
        1.36091,
        1.44178,
        1.48617,
        1.49836,
        1.41912,
        1.38611,
        1.60731,
        1.56729,
        1.30987,
        1.42894,
        1.39959,
        1.33672,
        1.42774,
        1.49095,
        1.35792,
        1.33732,
        1.30575,
        1.34608,
        1.4134,
        1.50154,
        1.43445,
        1.47629,
        1.42779,
        1.38001,
        1.43611,
        1.38761,
        1.35326,
        1.31369,
        1.45347,
        1.53219,
        1.41695,
        1.38493,
        1.40227,
        1.28158,
        1.26245,
        1.27279,
        1.33998,
        1.39376,
        1.46379,
        1.38271,
        1.46361,
        1.39567,
        1.36113,
        1.30183,
        1.26331,
        1.26422,
        1.33465,
        1.47488,
        1.39306,
        1.45991,
        1.42501,
        1.46419,
        1.51501,
        1.55841,
        1.48737,
        1.49577,
        1.43466,
        1.41861,
        1.3998,
        1.27777,
        1.56211,
        1.52432,
        1.44418,
        1.36113,
        1.51617,
        1.40054,
        1.29873,
        1.4289,
        1.4482,
        1.51525,
        1.47958,
        1.41619,
        1.47478,
        1.58633,
        null,
        1.96811,
        1.75811,
        1.68583,
        1.76474,
        1.92493,
        2.2028,
        1.72958,
        1.70132,
        1.90748,
        1.904,
        1.69588,
        1.57417,
        1.68884,
        1.65063,
        1.90741,
        2.00759,
        2.02827,
        2.07323,
        1.99062,
        1.66245,
        1.76719,
        2.00029,
        1.87584,
        1.82794,
        1.79655,
        1.62843,
        1.64207,
        1.83373,
        1.85208,
        1.60801,
        1.64381,
        1.64793,
        1.45127,
        1.69391,
        1.69552,
        1.88049,
        1.84048,
        1.80235,
        1.8053,
        1.68134,
        1.76525,
        1.97608,
        1.8906,
        1.76586,
        1.79568,
        1.89475,
        1.86069,
        1.8832,
        1.99064,
        1.79921,
        1.74994,
        1.82976,
        1.92879,
        1.77929,
        2.85978,
        2.83993,
        2.05989,
        2.08893,
        1.84613,
        1.91612,
        2.02721,
        1.73322,
        1.79916,
        1.91283,
        1.9202,
        2.03852,
        2.09201,
        2.13079,
        2.02073,
        2.04436,
        1.92381,
        1.96,
        1.74714,
        1.86292,
        1.75685,
        1.29169,
        1.61178,
        1.78496,
        1.81704,
        2.06327,
        2.07225,
        1.84324,
        1.87655,
        1.90949,
        1.73425,
        1.9163,
        2.20722,
        2.07585,
        2.02288,
        1.80428,
        1.85713,
        1.77185,
        1.53689,
        1.80416,
        1.70321,
        1.70146,
        1.75275,
        1.74734,
        1.84257,
        1.84433,
        1.78943,
        1.81286,
        1.84729,
        1.77818,
        1.58564,
        1.56596,
        1.79845,
        1.75495,
        1.60331,
        1.80374,
        1.86584,
        1.57246,
        1.69785,
        1.85871,
        1.73704,
        1.86234,
        1.75192,
        1.91831,
        1.74028,
        1.79338,
        1.55193,
        2.0172,
        2.18874,
        1.89846,
        1.74934,
        1.69212,
        1.62528,
        1.73693,
        1.85589,
        2.26151,
        1.79299,
        1.78753,
        1.58464,
        1.62195,
        1.5927,
        1.78952,
        1.73684,
        1.70727,
        1.60761,
        1.88669,
        1.79082,
        1.70483,
        1.84297,
        1.72108,
        1.79123,
        1.95924,
        1.59245,
        1.55474,
        1.90488,
        1.84185,
        1.6265,
        1.78614,
        2.15742,
        1.96001,
        1.6738,
        1.83776,
        1.9861,
        1.60628,
        1.7141,
        1.83586,
        1.74773,
        2.02139,
        1.92309,
        1.80861,
        1.92675,
        2.03811,
        1.78331,
        1.51892,
        1.88112,
        1.73385,
        1.84348,
        1.88656,
        1.93674,
        1.87042,
        1.79314,
        1.69759,
        1.5931,
        1.94876,
        1.75053,
        2.11826,
        2.11778,
        1.90135,
        2.49548,
        2.3961,
        2.21422,
        1.87848,
        1.7842,
        1.69312,
        1.90945,
        1.6513,
        1.84068,
        1.94442,
        1.72926,
        1.78297,
        1.96581,
        2.00574,
        1.5631,
        1.78991,
        1.76546,
        1.99478,
        2.15716,
        1.63379,
        1.87343,
        1.64686,
        1.94286,
        2.3053,
        1.80427,
        2.06414,
        1.87279,
        2.01763,
        2.07096,
        2.029,
        2.0101,
        1.98118,
        2.22413,
        2.66111,
        2.6109,
        2.04522,
        2.27449,
        2.29991,
        2.11242,
        1.79788,
        2.37591,
        2.09823,
        2.06981,
        1.81107,
        1.78779,
        2.2709,
        2.26991,
        2.24916,
        1.95318,
        2.02955,
        1.92072,
        1.91047,
        2.10131,
        2.04967,
        2.52753,
        2.39461,
        2.70348,
        2.16359,
        2.863,
        3.07044,
        null,
        2.66544,
        2.39359,
        2.32935,
        2.24033,
        1.93792,
        2.16223,
        1.98166,
        2.16529,
        2.18005,
        2.32976,
        1.82344,
        1.83466,
        2.08406,
        1.91983,
        2.26771,
        2.13243,
        2.34345,
        2.33858,
        2.27374,
        1.83336,
        2.29643,
        1.83158,
        2.05411,
        1.92154,
        2.04504,
        1.88333,
        2.08688,
        1.97703,
        3.92623,
        2.27858,
        2.32207,
        2.2024,
        2.23118,
        1.82285,
        1.7564,
        2.17642,
        1.94967,
        1.84989,
        2.32031,
        2.27192,
        1.7042,
        1.70395,
        1.7317,
        2.07251,
        1.72281,
        1.96925,
        1.70184,
        2.02621,
        1.97644,
        2.2628,
        2.25953,
        1.86094,
        1.73277,
        1.62129,
        2.17617,
        2.31128,
        2.28733,
        1.83479,
        1.72249,
        2.25898,
        1.84249,
        1.84758,
        1.59098,
        1.89726,
        1.73777,
        1.66869,
        1.74732,
        1.69519,
        2.086,
        2.28712,
        2.38867,
        2.2733,
        1.59441,
        1.95532,
        2.18753,
        1.89471,
        1.9514,
        2.18076,
        1.7134,
        2.157,
        2.44381,
        2.17327,
        1.98074,
        2.40477,
        2.1876,
        2.33047,
        2.25121,
        2.17329,
        2.31027,
        2.16257,
        2.08856,
        2.55381,
        2.33517,
        2.25565,
        2.45356,
        2.37093,
        2.27764,
        2.38984,
        3.0347,
        2.70131,
        null,
        3.09939,
        2.66361,
        2.52721,
        2.45132,
        2.10115,
        2.32923,
        2.0524,
        2.06991,
        2.35616,
        2.30707,
        2.6589,
        2.32071,
        2.55505,
        2.24574,
        1.9113,
        2.21002,
        1.92343,
        2.01129,
        2.10255,
        1.97095,
        2.03739,
        2.1072,
        2.02566,
        1.90085,
        2.06099,
        2.79063,
        2.00337,
        1.94903,
        2.29054,
        1.7757,
        1.87145,
        1.73014,
        2.06204,
        2.34052,
        2.15417,
        1.98197,
        1.68535,
        1.77506,
        1.95795,
        2.02949,
        2.00066,
        1.78868,
        1.69972,
        2.2347,
        1.93279,
        1.94617,
        1.6386,
        1.92957,
        1.97598,
        2.37009,
        1.748,
        1.9892,
        1.94101,
        1.79485,
        1.95556,
        1.78888,
        1.9931,
        2.22615,
        1.80073,
        2.32409,
        2.34346,
        2.39486,
        2.36121,
        2.17933,
        1.9612,
        2.3234,
        2.35851,
        2.2762,
        2.20407,
        2.35516,
        2.32172,
        2.1379,
        2.12533,
        1.81537,
        1.57114,
        1.98284,
        1.90962,
        2.08883,
        1.92806,
        2.03391,
        1.67907,
        2.12354,
        1.75613,
        1.87326,
        2.12594,
        2.27979,
        2.35171,
        1.96495,
        1.85581,
        1.65187,
        1.93959,
        2.33614,
        2.16694,
        1.92845,
        1.66033,
        2.21804,
        2.01702,
        2.33935,
        2.58511,
        2.37361,
        2.02302,
        2.07956,
        1.87616,
        1.86345,
        2.2614,
        2.17516,
        1.95462,
        2.03221,
        2.02466,
        2.17899,
        2.24545,
        2.17606,
        2.03098,
        2.01857,
        1.93917,
        1.55298,
        1.98207,
        1.77494,
        1.8652,
        2.16085,
        2.43172,
        1.99879,
        2.12952,
        1.64174,
        1.93409,
        2.4004,
        1.90823,
        1.88724,
        1.91272,
        1.8205,
        1.41656,
        1.58956,
        2.07094,
        1.8431,
        2.09474,
        2.2718,
        2.31795,
        2.02493,
        2.06823,
        1.95205,
        1.918,
        1.93023,
        2.20689,
        2.09415,
        1.90729,
        2.17788,
        2.05335,
        2.21526,
        1.98515,
        1.86297,
        1.84838,
        1.9679,
        2.21531,
        1.84758,
        2.08158,
        2.10514,
        2.00496,
        2.2386,
        2.19417,
        2.02268,
        2.289,
        2.14053,
        2.23031,
        1.86095,
        2.30892,
        1.95875,
        2.34327,
        2.60154,
        1.98934,
        1.87046,
        2.06763,
        2.29723,
        2.31613,
        1.9744,
        2.01902,
        2.08272,
        2.01326,
        2.11945,
        1.8186,
        2.05181,
        2.00431,
        1.93381,
        2.13302,
        1.9818,
        1.75308,
        2.09554,
        2.07155,
        2.15216,
        2.22547,
        2.12528,
        1.83515,
        1.8412,
        1.77673,
        2.05574,
        1.83648,
        1.79959,
        1.96632,
        1.85698,
        1.67605,
        1.9324,
        2.308,
        2.04881,
        1.92949,
        2.10612,
        2.40619,
        1.90442,
        2.21159,
        1.96003,
        1.76429,
        1.95383,
        1.94014,
        1.78363,
        2.18179,
        1.97108,
        2.4646,
        2.16073,
        2.44429,
        2.1435,
        1.99987,
        1.84093,
        2.08678,
        2.27507,
        2.35181,
        2.46756,
        2.33176,
        2.1317,
        2.24461,
        1.90171,
        1.79713,
        2.09772,
        2.0202,
        1.8838,
        1.86616,
        1.81263,
        2.06491,
        2.18293,
        1.95252,
        1.88149,
        1.92121,
        1.879,
        1.9319,
        1.80234,
        1.70532,
        1.58086,
        1.81699,
        1.86373,
        1.89066,
        1.99952,
        1.90402,
        1.87083,
        1.72735,
        1.87925,
        1.81319,
        2.12291,
        2.06772,
        1.92176,
        1.7808,
        1.86117,
        1.81903,
        1.63049,
        2.01839,
        2.06039,
        1.83117,
        2.02692,
        2.01479,
        2.14395,
        1.93796,
        2.00511,
        1.87819,
        2.09016,
        2.19208,
        2.16492,
        2.14238,
        1.93133,
        2.0216,
        1.97796,
        2.11173,
        2.01755,
        2.04128,
        1.95027,
        1.90189,
        1.84822,
        1.8511,
        1.97567,
        1.59919,
        1.94528,
        2.18664,
        1.90696,
        2.15736,
        2.27605,
        2.0745,
        1.66197,
        1.97517,
        2.20222,
        2.29339,
        2.28148,
        1.81745,
        1.87809,
        1.92076,
        1.83797,
        1.70372,
        1.67996,
        1.9332,
        1.73566,
        1.86761,
        1.83796,
        1.92138,
        1.86185,
        2.02109,
        1.83148,
        1.81492,
        1.88244,
        1.7841,
        1.90606,
        1.90761,
        1.88144,
        1.81336,
        2.04486,
        2.11852,
        2.00609,
        1.94705,
        2.0331,
        2.01018,
        1.90615,
        1.67691,
        1.95867,
        1.9057,
        2.0812,
        2.09727,
        2.01475,
        1.81599,
        1.78098,
        1.82529,
        1.85686,
        2.06585,
        1.89574,
        1.97348,
        2.17649,
        2.13436,
        2.04724,
        1.6892,
        1.87458,
        1.84936,
        1.8259,
        2.0902,
        2.31099,
        2.11781,
        1.94259,
        1.88275,
        2.0195,
        1.99017,
        1.83686,
        1.95993,
        1.95479,
        1.79046,
        2.08166,
        2.22003,
        2.21386,
        2.01697,
        2.05453,
        1.97143,
        1.73459,
        2.11268,
        1.98819,
        1.70688,
        1.90088,
        1.85467,
        2.13652,
        1.95261,
        1.75589,
        2.10982,
        1.69097,
        1.69558,
        2.05424,
        2.47439,
        1.97419,
        2.24637,
        2.19967,
        1.88501,
        1.76874,
        1.69263,
        2.13182,
        2.08109,
        2.07846,
        1.84692,
        2.20834,
        2.47049,
        2.05671,
        1.90258,
        2.30033,
        2.47728,
        2.23905,
        2.23239,
        2.40548,
        2.09486,
        2.05868,
        1.76629,
        2.05013,
        2.34788,
        2.28486,
        2.18409,
        2.10452,
        2.08972,
        2.51012,
        2.05731,
        1.64834,
        1.88249,
        2.12833,
        2.07063,
        2.06742,
        1.7813,
        1.96852,
        1.62117,
        2.05867,
        1.86004,
        2.01129,
        2.12989,
        2.03258,
        2.1704,
        2.02378,
        1.65596,
        1.94111,
        1.95833,
        1.59083,
        2.21464,
        2.41366,
        2.1938,
        1.88722,
        2.08325,
        1.90336,
        1.7536,
        2.04982,
        2.19347,
        1.91791,
        1.88246,
        2.25005,
        2.36687,
        1.97362,
        2.30415,
        1.80967,
        1.80674,
        2.25515,
        1.83713,
        2.00348,
        1.88226,
        2.08669,
        2.0086,
        2.08413,
        2.17786,
        2.26119,
        2.11592,
        2.06571,
        2.06701,
        2.06033,
        2.09954,
        1.93241,
        1.76488,
        1.68255,
        2.02627,
        2.50563,
        2.09416,
        2.38949,
        2.32621,
        1.8972,
        1.90598,
        2.12883,
        2.06172,
        2.2241,
        1.87559,
        1.63718,
        2.24633,
        2.21102,
        1.76486,
        1.9175,
        2.04943,
        2.20829,
        2.13378,
        2.16578,
        2.44604,
        2.20267,
        2.15088,
        1.79097,
        1.78159,
        2.41212,
        1.92186,
        2.18129,
        2.00166,
        2.26745,
        2.08409,
        2.00076,
        2.48816,
        1.98586,
        1.98351,
        2.09062,
        1.97318,
        2.19332,
        2.03178,
        2.30072,
        1.84226,
        2.10077,
        2.15094,
        2.17835,
        2.08563,
        2.35985,
        1.85452,
        2.33266,
        2.21556,
        2.0566,
        1.98178,
        2.08098,
        1.9486,
        1.87313,
        1.51235,
        2.09194,
        2.05533,
        2.0329,
        2.32737,
        1.98492,
        2.27435,
        2.27346,
        1.82706,
        1.61106,
        1.64431,
        2.06726,
        2.34251,
        1.96207,
        1.53059,
        1.75097,
        2.23601,
        2.22475,
        1.77603,
        1.85478,
        1.67842,
        2.08281,
        2.19095,
        2.39538,
        2.03574,
        2.3269,
        1.90467,
        1.84993,
        2.29898,
        2.52283,
        2.14153,
        2.62016,
        2.25543,
        2.3406,
        2.75934,
        2.00168,
        2.30904,
        1.99684,
        2.38689,
        2.27509,
        2.52204,
        2.65461
    ],
    "flux_error": [
        0.55306,
        0.46918,
        0.415568,
        0.389635,
        0.310167,
        0.29981,
        0.292697,
        0.285838,
        0.279434,
        0.272536,
        0.276322,
        0.279243,
        0.281003,
        0.292494,
        0.298644,
        0.427121,
        0.333198,
        0.320923,
        0.310994,
        0.287778,
        0.273088,
        0.265304,
        0.258511,
        0.254524,
        0.25712,
        0.258606,
        0.257347,
        0.257782,
        0.260732,
        0.268811,
        0.28016,
        0.295761,
        0.301238,
        0.30353,
        0.308798,
        0.294788,
        0.276329,
        0.280178,
        0.277527,
        0.275719,
        0.292462,
        0.308576,
        0.325846,
        0.31598,
        0.291621,
        0.278434,
        0.266413,
        0.251551,
        0.238317,
        0.231914,
        0.227134,
        0.226596,
        0.230269,
        0.230403,
        0.234615,
        0.234483,
        0.232384,
        0.236361,
        0.23671,
        0.232258,
        0.225099,
        0.227248,
        0.229311,
        0.233916,
        0.245675,
        0.256854,
        0.267929,
        0.277989,
        0.293912,
        0.31622,
        0.335516,
        0.483498,
        0.359187,
        0.346741,
        0.317262,
        0.2989,
        0.248656,
        0.243779,
        0.23658,
        0.23925,
        0.238539,
        0.231859,
        0.229009,
        0.230174,
        0.230376,
        0.228563,
        0.235101,
        0.244373,
        0.252346,
        0.269583,
        0.290641,
        0.367623,
        0.319633,
        0.306527,
        0.288911,
        0.273345,
        0.26124,
        0.260141,
        0.254188,
        0.249228,
        0.25011,
        0.242565,
        0.230578,
        0.225521,
        0.226652,
        0.223859,
        0.230809,
        0.2368,
        0.242227,
        0.254655,
        0.279803,
        0.372121,
        0.493653,
        0.488126,
        0.397884,
        0.346437,
        0.320321,
        0.307546,
        0.309101,
        0.308448,
        0.313733,
        0.328536,
        0.368839,
        0.42536,
        0.341193,
        0.315422,
        0.293145,
        0.274303,
        0.258053,
        0.267455,
        0.263832,
        0.269488,
        0.281415,
        0.289698,
        null,
        0.256691,
        0.23777,
        0.22998,
        0.219046,
        0.208024,
        0.197621,
        0.192472,
        0.189811,
        0.186711,
        0.18492,
        0.182846,
        0.177982,
        0.170727,
        0.168426,
        0.16861,
        0.168413,
        0.16876,
        0.169474,
        0.171891,
        0.174993,
        0.176953,
        0.180467,
        0.190118,
        0.199058,
        0.204545,
        0.225269,
        0.235051,
        0.247256,
        0.283398,
        0.416664,
        0.363161,
        0.316996,
        0.277523,
        0.250571,
        0.234626,
        0.221475,
        0.206528,
        0.20114,
        0.198216,
        0.194294,
        0.184258,
        0.176191,
        0.170028,
        0.165979,
        0.160131,
        0.153823,
        0.151485,
        0.147132,
        0.143135,
        0.14117,
        0.141739,
        0.139501,
        0.138177,
        0.141555,
        0.140593,
        0.145755,
        0.147326,
        0.148161,
        0.149929,
        0.160912,
        0.163933,
        0.168117,
        0.182353,
        0.201139,
        0.232196,
        0.256092,
        0.264961,
        0.265718,
        0.263894,
        0.256049,
        0.248778,
        0.25387,
        0.269784,
        0.292595,
        0.3166,
        0.351844,
        0.386511,
        0.385134,
        0.335481,
        0.307574,
        0.285521,
        0.269903,
        0.276429,
        0.255796,
        0.215436,
        0.203866,
        0.193071,
        0.184745,
        0.181146,
        0.179879,
        0.182717,
        0.187669,
        0.19582,
        0.212889,
        0.225772,
        0.225415,
        0.210941,
        0.193986,
        0.176337,
        0.163369,
        0.161896,
        0.155217,
        0.147815,
        0.144441,
        0.15078,
        0.155141,
        0.159019,
        0.164876,
        0.166629,
        0.167706,
        0.167266,
        0.16642,
        0.167265,
        0.167109,
        0.16844,
        0.168809,
        0.173942,
        0.173791,
        0.177725,
        0.186506,
        0.201921,
        0.218964,
        0.2336,
        0.244774,
        0.342539,
        0.373696,
        0.372825,
        0.324603,
        0.281931,
        0.254588,
        0.233036,
        0.218935,
        0.206265,
        0.195137,
        0.183048,
        0.173719,
        0.169288,
        0.163815,
        0.161307,
        0.175132,
        0.166374,
        0.147796,
        0.149415,
        0.148295,
        0.147327,
        0.146409,
        0.147875,
        0.146554,
        0.148228,
        0.146535,
        0.142948,
        0.140122,
        0.144016,
        0.142091,
        0.140627,
        0.140372,
        0.144685,
        0.150007,
        0.155702,
        0.158798,
        0.159543,
        0.160941,
        0.1644,
        0.166288,
        0.174146,
        0.182792,
        0.191796,
        0.224574,
        0.238073,
        0.218186,
        0.223451,
        0.232974,
        0.245597,
        0.279924,
        0.296343,
        0.299826,
        0.323476,
        0.320074,
        0.286234,
        0.269371,
        0.248036,
        0.223455,
        0.209196,
        0.195786,
        0.180758,
        0.166249,
        0.157643,
        0.152247,
        0.146983,
        0.148251,
        0.137102,
        0.127536,
        0.12105,
        0.117835,
        0.117676,
        0.116069,
        0.112434,
        0.111489,
        0.110665,
        0.107913,
        0.107348,
        0.108942,
        0.108922,
        0.108469,
        0.109731,
        0.111441,
        0.114493,
        0.116171,
        0.122072,
        0.120221,
        0.123881,
        0.125853,
        0.128151,
        0.130878,
        0.133338,
        0.134615,
        0.138088,
        0.143056,
        0.14895,
        0.156507,
        0.167261,
        0.182578,
        0.195796,
        0.207969,
        0.225541,
        0.252362,
        0.266929,
        0.292245,
        0.302324,
        0.285886,
        0.252566,
        0.220247,
        0.208591,
        0.194574,
        0.185063,
        0.18486,
        0.17323,
        0.15372,
        0.14834,
        0.142118,
        0.135668,
        0.130679,
        0.128458,
        0.127977,
        0.126963,
        0.124154,
        0.124178,
        0.124631,
        0.125965,
        0.13063,
        0.156855,
        0.157042,
        0.132077,
        0.130086,
        0.129772,
        0.127785,
        0.125714,
        0.125312,
        0.125171,
        0.128436,
        0.135349,
        0.145856,
        0.153345,
        0.165677,
        0.164552,
        0.164682,
        0.169232,
        0.181646,
        0.201687,
        0.222909,
        0.258762,
        0.321341,
        0.347018,
        0.307279,
        0.288609,
        0.281071,
        0.276681,
        0.290281,
        0.32517,
        0.363591,
        0.34484,
        0.347792,
        0.356074,
        0.268429,
        0.235977,
        0.210102,
        0.191357,
        0.183431,
        0.181208,
        0.179512,
        0.178898,
        0.175939,
        0.174797,
        0.176517,
        0.178821,
        0.202844,
        0.21767,
        0.2293,
        0.256204,
        0.305254,
        0.419812,
        0.323985,
        0.268287,
        0.231196,
        0.203981,
        0.185816,
        0.173074,
        0.167335,
        0.16466,
        0.161007,
        0.157463,
        0.157524,
        0.161121,
        0.165218,
        0.173336,
        0.184197,
        0.194227,
        0.208003,
        0.225103,
        0.249874,
        0.447876,
        0.329771,
        0.292656,
        0.265349,
        0.24441,
        0.227075,
        0.212196,
        0.200784,
        0.19078,
        0.185476,
        0.183433,
        0.183066,
        0.182227,
        0.179442,
        0.177924,
        0.178763,
        0.181098,
        0.188333,
        0.206102,
        0.227387,
        0.257783,
        0.307203,
        0.29457,
        0.233855,
        0.195157,
        0.171057,
        0.155196,
        0.146333,
        0.141154,
        0.139224,
        0.141239,
        0.140016,
        0.140718,
        0.144532,
        0.147148,
        0.150824,
        0.156698,
        0.155652,
        0.154777,
        0.155451,
        0.15841,
        0.160328,
        0.16684,
        0.175166,
        0.181659,
        0.193231,
        0.209031,
        0.223366,
        0.245107,
        0.278999,
        0.300307,
        0.305461,
        0.388253,
        0.361764,
        0.336582,
        0.30161,
        0.321468,
        0.303363,
        0.250074,
        0.206143,
        0.178355,
        0.160126,
        0.147964,
        0.139434,
        0.131529,
        0.125297,
        0.120647,
        0.118005,
        0.117164,
        0.117602,
        0.118798,
        0.120413,
        0.121155,
        0.1241,
        0.127638,
        0.130228,
        0.129084,
        0.126112,
        0.122287,
        0.1187,
        0.114789,
        0.112951,
        0.112837,
        0.112066,
        0.112715,
        0.113955,
        0.115369,
        0.117728,
        0.121429,
        0.125847,
        0.130779,
        0.135018,
        0.141258,
        0.152826,
        0.165393,
        0.17384,
        0.180654,
        0.1938,
        0.207234,
        0.223602,
        0.24024,
        0.263938,
        0.289715,
        0.324081,
        0.451729,
        0.3323,
        0.293248,
        0.256817,
        0.22024,
        0.193272,
        0.177597,
        0.166587,
        0.157311,
        0.149645,
        0.143442,
        0.136698,
        0.131631,
        0.127775,
        0.123434,
        0.121344,
        0.12251,
        0.125135,
        0.12642,
        0.128635,
        0.129342,
        0.131675,
        0.132147,
        0.132051,
        0.137448,
        0.14884,
        0.166385,
        0.191136,
        0.229889,
        0.350085,
        0.281207,
        0.233081,
        0.197747,
        0.176174,
        0.165082,
        0.156735,
        0.149107,
        0.144266,
        0.142728,
        0.145258,
        0.149159,
        0.153038,
        0.158085,
        0.17827,
        0.188003,
        0.18103,
        0.190979,
        0.215701,
        0.229967,
        0.249261,
        0.278043,
        0.311566,
        0.353388,
        0.385636,
        0.277645,
        0.239638,
        0.21508,
        0.197505,
        0.182185,
        0.171276,
        0.161726,
        0.153099,
        0.14768,
        0.142099,
        0.139101,
        0.139087,
        0.138856,
        0.136672,
        0.132897,
        0.129657,
        0.125829,
        0.120509,
        0.115148,
        0.110312,
        0.106874,
        0.104147,
        0.112169,
        0.105876,
        0.0962356,
        0.099799,
        0.0988111,
        0.0906985,
        0.0891517,
        0.0977658,
        0.0971163,
        0.0865119,
        0.0858133,
        0.0860602,
        0.0912166,
        0.0887871,
        0.0888009,
        0.0899568,
        0.0910192,
        0.0921132,
        0.0937103,
        0.0944859,
        0.0951874,
        0.0954263,
        0.0959529,
        0.100797,
        0.101156,
        0.09742,
        0.0991431,
        0.10232,
        0.107757,
        0.111988,
        0.115641,
        0.117716,
        0.12094,
        0.1278,
        0.150338,
        0.152771,
        0.151459,
        0.163695,
        0.171963,
        0.185158,
        0.207712,
        0.232663,
        0.261447,
        0.286562,
        0.327611,
        0.375859,
        0.330955,
        0.286555,
        0.262973,
        0.245409,
        0.225748,
        0.206834,
        0.195192,
        0.184909,
        0.17163,
        0.158635,
        0.148501,
        0.136456,
        0.126738,
        0.121585,
        0.116243,
        0.110749,
        0.108132,
        0.105505,
        0.101826,
        0.0986872,
        0.0972142,
        0.0954478,
        0.0932971,
        0.0918294,
        0.0907709,
        0.0890278,
        0.0875658,
        0.0873028,
        0.0858859,
        0.0857315,
        0.085776,
        0.0843603,
        0.0837788,
        0.0834991,
        0.0830126,
        0.0827274,
        0.0817153,
        0.0805501,
        0.0809665,
        0.0810365,
        0.0821395,
        0.0830439,
        0.0835918,
        0.0851456,
        0.0869859,
        0.0881424,
        0.0892826,
        0.090397,
        0.0929039,
        0.0969446,
        0.101569,
        0.102721,
        0.103787,
        0.107342,
        0.112622,
        0.124697,
        0.126061,
        0.119536,
        0.129161,
        0.13444,
        0.135791,
        0.144325,
        0.152691,
        0.162332,
        0.172844,
        0.1848,
        0.201127,
        0.22286,
        0.249328,
        0.292893,
        0.429098,
        0.367979,
        0.311828,
        0.267288,
        0.245045,
        0.221365,
        0.192459,
        0.174555,
        0.164447,
        0.15488,
        0.145057,
        0.139393,
        0.132688,
        0.127146,
        0.123026,
        0.119333,
        0.117069,
        0.113591,
        0.11096,
        0.110977,
        0.1094,
        0.108161,
        0.109695,
        0.110416,
        0.11388,
        0.118542,
        0.123828,
        0.134682,
        0.149105,
        0.171501,
        0.205034,
        0.228664,
        0.236976,
        0.230088,
        0.210698,
        0.208586,
        0.176486,
        0.13953,
        0.127719,
        0.118012,
        0.110842,
        0.105394,
        0.102248,
        0.0995288,
        0.0997192,
        0.0994329,
        0.0989661,
        0.100775,
        0.10167,
        0.103094,
        0.103295,
        0.106005,
        0.108244,
        0.110147,
        0.112508,
        0.114116,
        0.120554,
        0.125845,
        0.132733,
        0.140702,
        0.148378,
        0.157511,
        0.172916,
        0.190068,
        0.217822,
        0.258525,
        0.309843,
        0.310631,
        0.272558,
        0.248425,
        0.228273,
        0.207851,
        0.19061,
        0.176615,
        0.164652,
        0.154937,
        0.146358,
        0.137481,
        0.131646,
        0.126074,
        0.120324,
        0.115728,
        0.111835,
        0.106395,
        0.103492,
        0.102443,
        0.100555,
        0.0975791,
        0.0949943,
        0.0934219,
        0.092036,
        0.0906163,
        0.0900594,
        0.0895088,
        0.088476,
        0.0875447,
        0.0877592,
        0.0873944,
        0.0873261,
        0.0877086,
        0.0884325,
        0.0890102,
        0.0891271,
        0.0886908,
        0.0895479,
        0.0919596,
        0.093351,
        0.0937594,
        0.095555,
        0.0988567,
        0.102229,
        0.104876,
        0.108556,
        0.114092,
        0.121174,
        0.127018,
        null,
        0.130974,
        0.131068,
        0.13272,
        0.134399,
        0.138127,
        0.145227,
        0.15386,
        0.165028,
        0.179175,
        0.214745,
        0.254872,
        0.289168,
        0.362339,
        0.245149,
        0.216938,
        0.210357,
        0.209959,
        0.202332,
        0.200123,
        0.202377,
        0.209705,
        0.216614,
        0.225444,
        0.297531,
        0.297929,
        0.250884,
        0.235032,
        0.212257,
        0.190943,
        0.175466,
        0.159299,
        0.145748,
        0.136197,
        0.130622,
        0.128054,
        0.125241,
        0.119509,
        0.114701,
        0.111592,
        0.110286,
        0.111551,
        0.111269,
        0.111717,
        0.113628,
        0.115663,
        0.118067,
        0.119914,
        0.124391,
        0.13109,
        0.141734,
        0.154477,
        0.170406,
        0.201269,
        0.229337,
        0.329762,
        0.255379,
        0.213881,
        0.18694,
        0.164214,
        0.152825,
        0.147174,
        0.142061,
        0.137131,
        0.134851,
        0.133052,
        0.13203,
        0.13189,
        0.133511,
        0.133091,
        0.13528,
        0.13851,
        0.145725,
        0.154455,
        0.163391,
        0.169797,
        0.180352,
        0.195869,
        0.208548,
        0.221261,
        0.242372,
        0.277725,
        0.296368,
        0.208936,
        0.194994,
        0.185589,
        0.177892,
        0.167172,
        0.155031,
        0.144156,
        0.137661,
        0.133654,
        0.130361,
        0.128381,
        0.129445,
        0.134837,
        0.140017,
        0.14585,
        0.159992,
        0.178891,
        0.20348,
        0.247367,
        0.259,
        0.206536,
        0.173274,
        0.149537,
        0.132566,
        0.121778,
        0.113552,
        0.106996,
        0.101641,
        0.0990551,
        0.0951973,
        0.0931633,
        0.0916044,
        0.089992,
        0.089045,
        0.0898909,
        0.0890279,
        0.0893123,
        0.0919044,
        0.0953644,
        0.0983262,
        0.0995785,
        0.0999817,
        0.101949,
        0.102276,
        0.102378,
        0.104343,
        0.10642,
        0.108836,
        0.111957,
        0.116566,
        0.125778,
        0.136623,
        0.151251,
        0.165596,
        0.18818,
        0.2167,
        0.245179,
        0.280354,
        0.28514,
        0.250631,
        0.22534,
        0.201749,
        0.184945,
        0.175034,
        0.165697,
        0.161151,
        0.162134,
        0.16243,
        0.166231,
        0.176765,
        0.201686,
        0.221776,
        0.245777,
        0.292414,
        0.237592,
        0.191388,
        0.159207,
        0.134502,
        0.120842,
        0.11239,
        0.10499,
        0.0996027,
        0.0963772,
        0.0963435,
        0.096016,
        0.0980183,
        0.112527,
        0.113436,
        0.10174,
        0.099556,
        0.0956655,
        0.0913813,
        0.089021,
        0.0875478,
        0.0876858,
        0.0874452,
        0.0868984,
        0.0865046,
        0.0870128,
        0.0885458,
        0.0898905,
        0.0919333,
        0.0945627,
        0.0950051,
        0.093126,
        0.089731,
        0.0867333,
        0.0851602,
        0.0843623,
        0.0835946,
        0.084466,
        0.0852858,
        0.0871319,
        0.0894302,
        0.0928486,
        0.097523,
        0.103993,
        0.107914,
        0.113451,
        0.120514,
        0.128475,
        0.143556,
        0.155185,
        0.171838,
        0.200777,
        0.243745,
        0.285836,
        0.378164,
        0.271799,
        0.20669,
        0.166878,
        0.140162,
        0.122136,
        0.109147,
        0.0996407,
        0.092393,
        0.0860178,
        0.0823486,
        0.0791801,
        0.0763116,
        0.073732,
        0.0719486,
        0.073181,
        0.0717104,
        0.0841356,
        0.0847487,
        0.0767265,
        0.0788411,
        0.0809432,
        0.083369,
        0.0831409,
        0.079625,
        0.0747809,
        0.0706512,
        0.0672591,
        0.0646204,
        0.0633183,
        0.0621608,
        0.0609938,
        0.0606111,
        0.0603434,
        0.0600928,
        0.0606679,
        0.0600104,
        0.060239,
        0.0607636,
        0.0627187,
        0.0621934,
        0.0616246,
        0.0631407,
        0.064187,
        0.0646411,
        0.0657105,
        0.0668819,
        0.0688408,
        0.0699719,
        0.0720833,
        0.0750482,
        0.0780067,
        0.0811588,
        0.0851509,
        0.0970028,
        0.107217,
        0.109229,
        0.118529,
        0.13246,
        0.149685,
        0.163102,
        0.176824,
        0.190155,
        0.210139,
        0.232599,
        0.272209,
        0.318897,
        0.25084,
        0.207247,
        0.172279,
        0.151169,
        0.137258,
        0.127497,
        0.123237,
        0.119373,
        0.112513,
        0.104059,
        0.0947916,
        0.0874817,
        0.0824001,
        0.0786074,
        0.0735095,
        0.071183,
        0.0704032,
        0.070582,
        0.0711742,
        0.0711417,
        0.0762925,
        0.0745493,
        0.0665687,
        0.0669292,
        0.0665677,
        0.0790994,
        0.0830995,
        0.0746109,
        0.0747101,
        0.0723413,
        0.0687406,
        0.0642925,
        0.0601148,
        0.0638561,
        0.0569433,
        0.0538156,
        0.0535496,
        0.0533171,
        0.0530417,
        0.052974,
        0.0533412,
        0.0533285,
        0.0539373,
        0.0544116,
        0.0555551,
        0.0557239,
        0.0555713,
        0.0555884,
        0.0558552,
        0.056801,
        0.0641097,
        0.0655028,
        0.0594173,
        0.0620422,
        0.0600225,
        0.0619938,
        0.0644468,
        0.0663651,
        0.0677945,
        0.0707933,
        0.0781123,
        0.0799953,
        0.0777607,
        0.0813474,
        0.0878063,
        0.0951932,
        0.105145,
        0.115687,
        0.130565,
        0.145799,
        0.160144,
        0.18923,
        0.229545,
        0.240277,
        0.2012,
        0.162456,
        0.129685,
        0.110791,
        0.0995782,
        0.0906233,
        0.0882219,
        0.0796092,
        0.0726826,
        0.0706391,
        0.0673499,
        0.0644983,
        0.0619074,
        0.0599414,
        0.0592303,
        0.0588701,
        0.0586518,
        0.0577385,
        0.0570001,
        0.0556459,
        0.0541342,
        0.0522197,
        0.0503454,
        0.0490103,
        0.0480036,
        0.0503438,
        0.0499921,
        0.0462473,
        0.0457905,
        0.0456183,
        0.0456427,
        0.0474708,
        0.0475112,
        0.0453992,
        0.0445452,
        0.0474352,
        0.0469616,
        0.043326,
        0.0438918,
        0.0433596,
        0.0426582,
        0.042519,
        0.0441462,
        0.0465026,
        0.0445623,
        0.043098,
        0.0434792,
        0.0526513,
        0.0530041,
        0.0451724,
        0.0458466,
        0.0462307,
        0.0472011,
        0.0479291,
        0.0491005,
        0.0500012,
        0.0512733,
        0.0519849,
        0.0526783,
        0.0538204,
        0.055186,
        0.0566543,
        0.0585983,
        0.0605132,
        0.0621054,
        0.0640435,
        0.0662397,
        0.0703351,
        0.0734186,
        0.0775004,
        0.0843187,
        0.0973237,
        0.108179,
        0.122608,
        0.13708,
        0.146746,
        0.157661,
        0.174318,
        0.190226,
        0.215213,
        0.254917,
        0.412066,
        0.25539,
        0.196775,
        0.163591,
        0.141412,
        0.127295,
        0.114199,
        0.101506,
        0.0935389,
        0.0873808,
        0.0845739,
        0.0774589,
        0.0778971,
        0.0758783,
        0.070099,
        0.0694526,
        0.0680639,
        0.0669504,
        0.064559,
        0.062616,
        0.0598443,
        0.0570844,
        0.0544493,
        0.0528635,
        0.0511378,
        0.0499722,
        0.0484505,
        0.0471626,
        0.0462423,
        0.0453651,
        0.0445918,
        0.0443599,
        0.0450627,
        0.0440397,
        0.0429957,
        0.0429276,
        0.0429581,
        0.0427857,
        0.0439384,
        0.0437003,
        0.0429488,
        0.0436366,
        0.044658,
        0.046393,
        0.0486877,
        0.052275,
        0.0561074,
        0.0582335,
        0.0570228,
        0.0542674,
        0.0514179,
        0.0490366,
        0.0472655,
        0.0461566,
        0.0456606,
        0.0474215,
        0.045871,
        0.0449945,
        0.0451432,
        0.0454486,
        0.0459565,
        0.0463353,
        0.0473278,
        0.048134,
        0.0498114,
        0.0513034,
        0.0519712,
        0.051948,
        0.052977,
        0.0543647,
        0.0562958,
        0.0576344,
        0.0595837,
        0.0627018,
        0.0661171,
        0.07065,
        0.0762768,
        0.0828742,
        0.0920606,
        0.10764,
        0.127104,
        0.149163,
        0.176372,
        0.215003,
        0.249539,
        0.440372,
        0.327953,
        0.251663,
        0.203028,
        0.19118,
        0.168855,
        0.13934,
        0.130518,
        0.126386,
        0.133341,
        0.132768,
        0.130952,
        0.13092,
        0.126697,
        0.121534,
        0.115888,
        0.112395,
        0.115003,
        0.123045,
        0.136311,
        0.160401,
        0.204328,
        0.282757,
        0.338911,
        0.221127,
        0.160295,
        0.127318,
        0.118607,
        0.100399,
        0.0795553,
        0.0725151,
        0.0652853,
        0.0618541,
        0.0580241,
        0.0554129,
        0.0535167,
        0.0521395,
        0.0510745,
        0.0505431,
        0.0494698,
        0.0483812,
        0.0489184,
        0.0477628,
        0.0468603,
        0.0459407,
        0.047257,
        0.0476362,
        0.0463663,
        0.0500223,
        0.0495675,
        0.0488872,
        0.0504359,
        0.0524158,
        0.0546362,
        0.0593616,
        0.064779,
        0.0706955,
        0.0724322,
        0.0720772,
        0.0700134,
        0.0694016,
        0.0694649,
        0.0756052,
        0.0788263,
        0.0792209,
        0.0876017,
        0.110087,
        0.12801,
        0.142318,
        0.200463,
        0.272842,
        0.271003,
        0.246506,
        0.211928,
        0.212443,
        0.220488,
        0.245383,
        0.282037,
        0.212034,
        0.162252,
        0.13323,
        0.11334,
        0.099355,
        0.0877236,
        0.0897886,
        0.0820482,
        0.0678289,
        0.0636115,
        0.0604254,
        0.0584665,
        0.0564668,
        0.0540915,
        0.0519063,
        0.0501248,
        0.0488625,
        0.0476288,
        0.0515736,
        0.0502855,
        0.0448768,
        0.0439721,
        0.0433334,
        0.043266,
        0.0428326,
        0.0428821,
        0.0435835,
        0.0434149,
        0.0423971,
        0.0421364,
        0.0412412,
        0.0402455,
        0.0393497,
        0.0389757,
        0.0384533,
        0.0379984,
        0.0439712,
        0.0424128,
        0.0386897,
        0.0392249,
        0.0441275,
        0.0459035,
        0.043262,
        0.0456035,
        0.0488288,
        0.0529008,
        0.0558058,
        0.0562656,
        0.055924,
        0.0561305,
        0.0605345,
        0.0610956,
        0.0597798,
        0.0642941,
        0.0636854,
        0.0613762,
        0.0633499,
        0.0602074,
        0.0553301,
        0.0544817,
        0.0551394,
        0.0579408,
        0.0617438,
        0.0666996,
        0.0734318,
        0.0829992,
        0.0966866,
        0.116814,
        0.148986,
        0.201104,
        0.309056,
        0.272287,
        0.204738,
        0.157266,
        0.12464,
        0.103981,
        0.0902069,
        0.082415,
        0.0766551,
        0.072667,
        0.0706952,
        0.0689723,
        0.070822,
        0.0705379,
        0.0710081,
        0.0744869,
        0.0792009,
        0.0844374,
        0.0919622,
        0.102892,
        0.116911,
        0.136082,
        0.165804,
        0.214664,
        0.295364,
        0.252242,
        0.188705,
        0.14903,
        0.12378,
        0.107344,
        0.095051,
        0.086411,
        0.0786476,
        0.0721514,
        0.067187,
        0.064392,
        0.0611196,
        0.0583337,
        0.0561871,
        0.0561723,
        0.0565526,
        0.0581538,
        0.0606187,
        0.0633864,
        0.0637349,
        0.0614225,
        0.0577901,
        0.0535049,
        0.0498442,
        0.0507326,
        0.051248,
        0.04932,
        0.0512329,
        0.0532987,
        0.0552457,
        0.0551384,
        0.0551308,
        0.0501605,
        0.0497732,
        0.0472135,
        0.0413131,
        0.0398136,
        0.0391724,
        0.0388063,
        0.0391332,
        0.038323,
        0.0383608,
        0.0387386,
        0.0395162,
        0.0405856,
        0.0407025,
        0.0409957,
        0.0422695,
        0.0438481,
        0.0452598,
        0.0463601,
        0.0482493,
        0.0494013,
        0.051092,
        0.0547913,
        0.0599774,
        0.0662872,
        0.0744644,
        0.0852095,
        0.100391,
        0.127311,
        0.161897,
        0.208771,
        0.262691,
        0.203671,
        0.15456,
        0.12183,
        0.0992228,
        0.0848532,
        0.0747309,
        0.0723672,
        0.0673786,
        0.0589238,
        0.0565386,
        0.0547959,
        0.0586197,
        0.0556889,
        0.0521843,
        0.0519535,
        0.0517407,
        0.0519442,
        0.0580923,
        0.0592063,
        0.0544423,
        0.0560838,
        0.0583776,
        0.0656316,
        0.068697,
        0.0707471,
        0.0765686,
        0.0848791,
        0.0967997,
        0.112621,
        0.134799,
        0.161533,
        0.193026,
        0.232673,
        0.285691,
        0.20437,
        0.169224,
        0.147339,
        0.134517,
        0.134497,
        0.128131,
        0.129979,
        0.148419,
        0.183622,
        0.236098,
        0.233298,
        0.180467,
        0.136176,
        0.102795,
        0.087461,
        0.0801421,
        0.0736514,
        0.0684487,
        0.0656046,
        0.0638503,
        0.0648144,
        0.0640217,
        0.0645765,
        0.0671976,
        0.0703515,
        0.0745848,
        0.0802161,
        0.0886775,
        0.100926,
        0.118702,
        0.144918,
        0.186128,
        0.41677,
        0.369072,
        0.280179,
        0.224659,
        0.187169,
        0.158902,
        0.13472,
        0.113864,
        0.109971,
        0.0906694,
        0.0750278,
        0.0679921,
        0.0623807,
        0.0585867,
        0.0567474,
        0.0625949,
        0.0606898,
        0.0514593,
        0.0499983,
        0.0517685,
        0.0505722,
        0.0479679,
        0.0515853,
        0.0530448,
        0.0486998,
        0.0500334,
        0.0503166,
        0.0510433,
        0.0518942,
        0.05213,
        0.0513287,
        0.055971,
        0.0562084,
        0.0521187,
        0.0526258,
        0.0541017,
        0.0555691,
        0.0575164,
        0.0602457,
        0.0638133,
        0.068298,
        0.075182,
        0.0831957,
        0.0947592,
        0.115028,
        0.133574,
        0.164715,
        0.219396,
        0.285256,
        0.233537,
        0.178466,
        0.128641,
        0.107196,
        0.0918265,
        0.0813287,
        0.073648,
        0.0746308,
        0.0671924,
        0.0604351,
        0.0577257,
        0.0554148,
        0.0537892,
        0.0543369,
        0.0551761,
        0.0553353,
        0.0542816,
        0.0536208,
        0.0521653,
        0.0502699,
        0.0490417,
        0.0483481,
        0.048071,
        0.0475226,
        0.0477705,
        0.048701,
        0.050222,
        0.0532474,
        0.0568686,
        0.0615073,
        0.0608026,
        0.0583457,
        0.0561975,
        0.0544108,
        0.0527493,
        0.0526848,
        0.054069,
        0.0569072,
        0.060733,
        0.0659928,
        0.0735539,
        0.0847774,
        0.100226,
        0.126044,
        0.163031,
        0.203555,
        0.232888,
        0.248292,
        0.257638,
        0.287775,
        0.215447,
        0.172467,
        0.135432,
        0.108012,
        0.089551,
        0.0772463,
        0.0686896,
        0.0617558,
        0.056713,
        0.0526717,
        0.0508171,
        0.0490904,
        0.0482558,
        0.0479129,
        0.0479442,
        0.0482791,
        0.0489788,
        0.0503392,
        0.0518137,
        0.0538801,
        0.0570482,
        0.0588647,
        0.0600478,
        0.0605112,
        0.0596549,
        0.0587423,
        0.0573187,
        0.0565762,
        0.0618048,
        0.0608822,
        0.0532304,
        0.0517595,
        0.0500707,
        0.0488165,
        0.0482368,
        0.0476941,
        0.0477611,
        0.0476864,
        0.0484082,
        0.0493224,
        0.0506891,
        0.0530626,
        0.0569168,
        0.0607313,
        0.0642275,
        0.0643459,
        0.0625707,
        0.0618127,
        0.0621074,
        0.0632949,
        0.0661415,
        0.0756014,
        0.0800841,
        0.085656,
        0.0975912,
        0.115361,
        0.144247,
        0.189153,
        0.262793,
        0.263162,
        0.196339,
        0.152337,
        0.122613,
        0.102017,
        0.0896297,
        0.0817259,
        0.073067,
        0.0662453,
        0.063396,
        0.0605405,
        0.0567364,
        0.0543707,
        0.0528092,
        0.050973,
        0.0493393,
        0.0512145,
        0.0485118,
        0.0464751,
        0.047102,
        0.0474429,
        0.0462225,
        0.0459101,
        0.0457668,
        0.0464494,
        0.0473502,
        0.0487157,
        0.0504567,
        0.0541134,
        0.0568148,
        0.0610614,
        0.0673449,
        0.0761882,
        0.0892544,
        0.107472,
        0.133712,
        0.187753,
        0.211747,
        0.210277,
        0.214953,
        0.219631,
        0.223129,
        0.219455,
        0.204697,
        0.189116,
        0.15463,
        0.120776,
        0.0999978,
        0.084395,
        0.0735019,
        0.0653899,
        0.0589401,
        0.0537463,
        0.0498805,
        0.0479673,
        0.0457641,
        0.0437261,
        0.0421754,
        0.0407627,
        0.0395977,
        0.0394114,
        0.0385946,
        0.0382176,
        0.0386505,
        0.0377831,
        0.0369825,
        0.0371708,
        0.0375985,
        0.0382875,
        0.0391098,
        0.0393002,
        0.0402102,
        0.0413267,
        0.0428736,
        0.0444288,
        0.0466087,
        0.0500581,
        0.054956,
        0.0608335,
        0.0660989,
        0.0677213,
        0.0659339,
        0.0614007,
        0.055878,
        0.0507806,
        0.0473045,
        0.0448644,
        0.0431169,
        0.0417772,
        0.0410983,
        0.0405165,
        0.040724,
        0.0409578,
        0.0417269,
        0.0422038,
        0.0432008,
        0.0454621,
        0.0476653,
        0.0496653,
        0.0520758,
        0.0539434,
        0.0554531,
        0.0566503,
        0.057809,
        0.0595311,
        0.0620263,
        0.0658602,
        0.070735,
        0.0783184,
        0.0885895,
        0.103601,
        0.124641,
        0.157736,
        0.213611,
        0.193118,
        0.151695,
        0.123826,
        0.103516,
        0.0896039,
        0.0807298,
        0.073808,
        0.0684422,
        0.0647134,
        0.062357,
        0.060444,
        0.0591198,
        0.0574999,
        0.0573317,
        0.0577805,
        0.0582777,
        0.0584509,
        0.0597216,
        0.0620606,
        0.0649449,
        0.0687056,
        0.0739759,
        0.082384,
        0.0937724,
        0.112369,
        0.13869,
        0.16829,
        0.197279,
        0.214314,
        0.21777,
        0.219141,
        0.227921,
        0.231553,
        0.224956,
        0.203759,
        0.176288,
        0.149168,
        0.127542,
        0.112479,
        0.102127,
        0.096138,
        0.0948249,
        0.0970864,
        0.101248,
        0.106452,
        0.11432,
        0.122007,
        0.134379,
        0.152727,
        0.177781,
        0.218382,
        0.297022,
        0.23723,
        0.181773,
        0.143707,
        0.118696,
        0.102708,
        0.0887354,
        0.0871041,
        0.0799171,
        0.0691324,
        0.0655696,
        0.0617767,
        0.0592882,
        0.0577691,
        0.0571223,
        0.0573102,
        0.064698,
        0.0633539,
        0.0549556,
        0.0533053,
        0.0510317,
        0.0502057,
        0.0485622,
        0.0469806,
        0.0453703,
        0.0441005,
        0.0430733,
        0.0426082,
        0.0420968,
        0.0421454,
        0.0471575,
        0.0448827,
        0.041529,
        0.0415993,
        0.0417318,
        0.0424019,
        0.0432314,
        0.0444282,
        0.0457672,
        0.0474469,
        0.0491095,
        0.0510657,
        0.0534117,
        0.0564542,
        0.0598857,
        0.0651468,
        0.0721715,
        0.0816524,
        0.0943801,
        0.112985,
        0.139411,
        0.179687,
        0.233121,
        0.184424,
        0.148834,
        0.125728,
        0.111258,
        0.103003,
        0.0990619,
        0.0985078,
        0.0983354,
        0.0982431,
        0.100004,
        0.102271,
        0.104027,
        0.106894,
        0.112078,
        0.123553,
        0.138271,
        0.155364,
        0.169014,
        0.173235,
        0.172635,
        0.17429,
        0.178926,
        0.179005,
        0.177785,
        0.169937,
        0.147186,
        0.122203,
        0.102059,
        0.0862383,
        0.0747626,
        0.0666477,
        0.0604096,
        0.0562447,
        0.0529299,
        0.0504946,
        0.0486249,
        0.0476272,
        0.0482785,
        0.0476601,
        0.0478161,
        0.049108,
        0.050348,
        0.0511212,
        0.0498887,
        0.0479132,
        0.0453568,
        0.0437243,
        0.0418832,
        0.0405863,
        0.0395744,
        0.0393271,
        0.0391755,
        0.0394714,
        0.039362,
        0.0397903,
        0.0400441,
        0.0399183,
        0.040666,
        0.0421112,
        0.0427611,
        0.0435227,
        0.0434837,
        0.0432262,
        0.0419643,
        0.0438968,
        0.0442921,
        0.0386524,
        0.0376363,
        0.0370727,
        0.0367425,
        0.0359852,
        0.0356722,
        0.0356743,
        0.0352784,
        0.0349496,
        0.0349533,
        0.0347517,
        0.0343726,
        0.0344134,
        0.0343734,
        0.0346855,
        0.0344883,
        0.0343921,
        0.0346285,
        0.034326,
        0.0366603,
        0.0362234,
        0.0352322,
        0.0356041,
        0.0358282,
        0.0361057,
        0.0368201,
        0.0374778,
        0.0379488,
        0.0390547,
        0.0405044,
        0.0421335,
        0.0439225,
        0.0468322,
        0.0494851,
        0.050977,
        0.0513346,
        0.0512481,
        0.0502482,
        0.0501873,
        0.0500234,
        0.0509382,
        0.0524486,
        0.0546297,
        0.0573516,
        0.061335,
        0.0655804,
        0.0712751,
        0.0793815,
        0.0912759,
        0.110115,
        0.13232,
        0.158362,
        0.204766,
        0.286904,
        0.285428,
        0.219484,
        0.183038,
        0.163059,
        0.16035,
        0.17263,
        0.19098,
        0.208001,
        0.219111,
        0.231739,
        0.244385,
        0.243879,
        0.245056,
        0.32567,
        0.205383,
        0.171858,
        0.146462,
        0.129574,
        0.11583,
        0.101101,
        0.0894252,
        0.0792899,
        0.070391,
        0.0638585,
        0.0587449,
        0.0553016,
        0.0526859,
        0.0498323,
        0.0486023,
        0.0478805,
        0.0476045,
        0.0474387,
        0.0481779,
        0.0492254,
        0.0507735,
        0.051399,
        0.0511845,
        0.0496208,
        0.0477551,
        0.0457226,
        0.0441449,
        0.0426682,
        0.0416336,
        0.0410541,
        0.0398906,
        0.0389271,
        0.0383112,
        0.0381629,
        0.0378627,
        0.0378737,
        0.0379863,
        0.0378971,
        0.03833,
        0.038945,
        0.0393693,
        0.0405386,
        0.0422664,
        0.0441041,
        0.0459714,
        0.0460623,
        0.0447421,
        0.0433351,
        0.0413774,
        0.0400759,
        0.0390051,
        0.0381284,
        0.0374409,
        0.0371208,
        0.0367381,
        0.0364734,
        0.0363631,
        0.036341,
        0.0364047,
        0.0364103,
        0.0366678,
        0.0369557,
        0.0373436,
        0.0375021,
        0.0373914,
        0.0371894,
        0.0372003,
        0.0391602,
        0.0411044,
        0.0388049,
        0.0372319,
        0.0372757,
        0.0376319,
        0.0382536,
        0.0390847,
        0.0395299,
        0.0400971,
        0.0412442,
        0.0420636,
        0.0425924,
        0.0429024,
        0.0430364,
        0.0428113,
        0.0424076,
        0.0426801,
        0.043306,
        0.0441042,
        0.0451251,
        0.0459819,
        0.047221,
        0.049143,
        0.05084,
        0.0539404,
        0.056907,
        0.0607016,
        0.0651615,
        0.0708264,
        0.0785388,
        0.0905419,
        0.104979,
        0.124264,
        0.160138,
        0.21335,
        0.295893,
        0.323339,
        0.302824,
        0.290077,
        0.274382,
        0.244759,
        0.203329,
        0.164271,
        0.133302,
        0.109326,
        0.0941245,
        0.0838095,
        0.0758599,
        0.070228,
        0.0664944,
        0.0629499,
        0.061322,
        0.0601764,
        0.0595072,
        0.0589213,
        0.0583793,
        0.0569564,
        0.054898,
        0.0536042,
        0.0526314,
        0.0522282,
        0.0519869,
        0.0514766,
        0.0508054,
        0.04979,
        0.0487555,
        0.04755,
        0.0470029,
        0.0461512,
        0.0459744,
        0.0456755,
        0.0461015,
        0.045465,
        0.0454993,
        0.0462082,
        0.0505121,
        0.0500926,
        0.0483785,
        0.0517662,
        0.0510466,
        0.050055,
        0.050699,
        0.0522937,
        0.0535252,
        0.0558682,
        0.0584272,
        0.0601771,
        null,
        0.0625841,
        0.0609288,
        0.0597333,
        0.0598444,
        0.0592824,
        0.0576796,
        0.056951,
        0.056651,
        0.0563262,
        0.0563223,
        0.0565595,
        0.0565763,
        0.056466,
        0.0572885,
        0.0580524,
        0.0571869,
        0.058181,
        0.0539599,
        0.0525365,
        0.0517476,
        0.0515225,
        0.0508148,
        0.0504226,
        0.0495567,
        0.049251,
        0.0488322,
        0.0488818,
        0.0486593,
        0.0486609,
        0.0484739,
        0.0483438,
        0.0489393,
        0.0487235,
        0.0488225,
        0.04953,
        0.0503074,
        0.0504887,
        0.0512031,
        0.0517462,
        0.0523948,
        0.0532151,
        0.0536216,
        0.0543411,
        0.0546293,
        0.0553748,
        0.0565621,
        0.0588319,
        0.0613636,
        0.0647397,
        0.0700066,
        0.0758196,
        0.08027,
        0.0835489,
        0.0860051,
        0.0878192,
        0.0914837,
        0.100955,
        0.113931,
        0.131062,
        0.148882,
        0.160198,
        0.163667,
        0.161661,
        0.157485,
        0.175297,
        0.191507,
        0.176547,
        0.177895,
        0.182279,
        0.18524,
        0.191242,
        0.208296,
        0.245704,
        0.243146,
        0.181772,
        0.141283,
        0.116083,
        0.0977389,
        0.0829205,
        0.0752845,
        0.0696481,
        0.0647282,
        0.0607481,
        0.0582153,
        0.0559647,
        0.0547118,
        0.0539646,
        0.0527529,
        0.0517871,
        0.0541527,
        0.0545318,
        0.0518935,
        0.0525314,
        0.0564206,
        0.0525487,
        0.0511342,
        0.0499642,
        0.0489155,
        0.0481267,
        0.0473597,
        0.0470861,
        0.0470797,
        0.0476197,
        0.0478799,
        0.0478809,
        0.0485196,
        0.0492716,
        0.0494529,
        0.0488333,
        0.0482386,
        0.0477525,
        0.0476772,
        0.0459813,
        0.0453179,
        0.0444868,
        0.0440625,
        0.0438903,
        0.043725,
        0.0436102,
        0.0436021,
        0.0435106,
        0.043529,
        0.0427823,
        0.0423199,
        0.0420591,
        0.0419999,
        0.04169,
        0.0417956,
        0.0415898,
        0.0413575,
        0.0415682,
        0.041808,
        0.0420053,
        0.0418075,
        0.0415896,
        0.0417782,
        0.0426467,
        0.0440622,
        0.0454123,
        0.044439,
        0.045365,
        0.0469957,
        0.0492652,
        0.0515512,
        0.0539335,
        0.0558582,
        0.0567671,
        0.0566912,
        0.0561579,
        0.0557769,
        0.0565438,
        0.0576267,
        0.0591417,
        0.0607741,
        0.0629703,
        0.0650005,
        0.0663548,
        0.0689814,
        0.0735608,
        0.0797611,
        0.0857591,
        0.0946705,
        0.101849,
        0.106898,
        0.107911,
        0.104962,
        0.102659,
        0.103078,
        0.10706,
        0.110922,
        0.109402,
        0.102394,
        0.0924817,
        0.083477,
        0.0768564,
        0.0728702,
        0.0701831,
        0.0685255,
        0.068832,
        0.0719314,
        0.076201,
        0.082271,
        0.092528,
        0.10847,
        0.131347,
        0.167455,
        0.216692,
        0.248683,
        0.271113,
        0.250733,
        0.1902,
        0.147161,
        0.118805,
        0.0996607,
        0.0846772,
        0.0747243,
        0.0673739,
        0.0624892,
        0.0585223,
        0.0560501,
        0.054279,
        0.0531456,
        0.0525471,
        0.0524553,
        0.0525802,
        0.0525224,
        0.0519217,
        0.0511741,
        0.0502954,
        0.0498035,
        0.0484427,
        0.0473383,
        0.0526546,
        0.0531121,
        0.0499489,
        0.0494125,
        0.0465906,
        0.0460349,
        0.0459448,
        0.0461384,
        0.0456897,
        0.0453186,
        0.0457715,
        0.0468713,
        0.0465617,
        0.0454534,
        0.0468681,
        0.0468928,
        0.0462508,
        0.0467287,
        0.0470998,
        0.0476093,
        0.0482118,
        0.0489025,
        0.0498022,
        0.0507898,
        0.0519164,
        0.0530653,
        0.0551062,
        0.0573352,
        0.0604998,
        0.0633917,
        0.0678144,
        0.0726057,
        0.0791976,
        0.088265,
        0.100795,
        0.113773,
        0.127183,
        0.146475,
        0.176745,
        0.2176,
        0.285321,
        0.317015,
        0.253609,
        0.224903,
        0.202302,
        0.18423,
        0.171036,
        0.157746,
        0.143136,
        0.129402,
        0.121254,
        0.118415,
        0.11696,
        0.114085,
        0.11425,
        0.104459,
        0.091412,
        0.0814838,
        0.0739597,
        0.0677638,
        0.0636415,
        0.0609922,
        0.0594453,
        0.0593776,
        0.0590693,
        0.0587366,
        0.0588964,
        0.0592465,
        0.0582656,
        0.059255,
        0.0602679,
        0.0648434,
        0.0669657,
        0.0645015,
        0.0688399,
        0.0770855,
        0.0890868,
        0.106446,
        0.132508,
        0.165374,
        0.199437,
        0.197036,
        0.169221,
        0.13463,
        0.106464,
        0.0882534,
        0.0741368,
        0.0645233,
        0.0583385,
        0.0540735,
        0.0501925,
        0.0473559,
        0.0455834,
        0.0444981,
        0.0433947,
        0.0425659,
        0.0417971,
        0.0407568,
        0.040161,
        0.0398052,
        0.0393194,
        0.038758,
        0.0384293,
        0.0381724,
        0.0378077,
        0.0376338,
        0.0376274,
        0.0372112,
        0.0371106,
        0.0371837,
        0.037504,
        0.037705,
        0.0377207,
        0.0376103,
        0.0375355,
        0.0373338,
        0.0373459,
        0.0375561,
        0.0385615,
        0.0391512,
        0.0400635,
        0.0415937,
        0.0435834,
        0.0447092,
        0.0453961,
        0.045503,
        0.0451037,
        0.0448005,
        0.0444995,
        0.0438248,
        0.04293,
        0.0416185,
        0.0403109,
        0.0392994,
        0.0390839,
        0.0376668,
        0.037248,
        0.037296,
        0.0373404,
        0.0375623,
        0.0380266,
        0.0382498,
        0.038442,
        0.0384064,
        0.038502,
        0.0390483,
        0.0396633,
        0.042759,
        0.0426356,
        0.0428454,
        0.0449537,
        0.0487188,
        0.0521566,
        0.0561907,
        0.0611109,
        0.0671438,
        0.0727097,
        0.0759156,
        0.077199,
        0.0797557,
        0.0761544,
        0.0736171,
        0.0730578,
        0.0745675,
        0.0764281,
        0.0794491,
        0.0722964,
        0.0665606,
        0.0605794,
        0.0556786,
        0.0514815,
        0.0480055,
        0.045342,
        0.0436984,
        0.0427221,
        0.0417722,
        0.040707,
        0.0397661,
        0.0389063,
        0.038486,
        0.0384058,
        0.038804,
        0.0391248,
        0.0394093,
        0.0396503,
        0.0411006,
        0.0409698,
        0.0397937,
        0.0393687,
        0.0394594,
        0.0427116,
        0.04248,
        0.0426332,
        0.044522,
        0.0475547,
        0.0520266,
        0.0580345,
        0.0654398,
        0.0771041,
        0.0925064,
        0.111495,
        0.126322,
        0.132467,
        0.120223,
        0.0994653,
        0.0803635,
        0.0680618,
        0.0596014,
        0.0537394,
        0.0489234,
        0.0457435,
        0.0431912,
        0.0412457,
        0.0401551,
        0.0393691,
        0.0390043,
        0.0384301,
        0.0377344,
        0.037494,
        0.0373899,
        0.0371622,
        0.0375437,
        0.037737,
        0.037784,
        0.0385863,
        0.0395406,
        0.0407535,
        0.0420952,
        0.0428767,
        0.0431988,
        0.0430834,
        0.0423712,
        0.0413395,
        0.0401522,
        0.0383694,
        0.0381761,
        0.037839,
        0.0355806,
        0.0349891,
        0.0349109,
        0.0353396,
        0.0360922,
        0.0368072,
        0.0369021,
        0.0386769,
        0.03764,
        0.0342291,
        0.0337695,
        0.0329637,
        0.0321892,
        0.0317126,
        0.0315982,
        0.0317957,
        0.0318346,
        0.0318265,
        0.032013,
        0.0330422,
        0.0360732,
        0.0356616,
        0.0336354,
        0.0341531,
        0.0349377,
        0.0359104,
        0.0377947,
        0.0388152,
        0.0398828,
        0.0425167,
        0.0457578,
        0.0533032,
        0.0550104,
        0.0579692,
        0.0587903,
        0.0586622,
        0.057341,
        0.0556283,
        0.0548364,
        0.0554303,
        0.0571947,
        0.0578711,
        0.0610096,
        0.0590767,
        0.0510579,
        0.0468251,
        0.0437625,
        0.0421438,
        0.0409143,
        0.0390402,
        0.0376253,
        0.0366376,
        0.0354592,
        0.0341199,
        0.0332898,
        0.034458,
        0.0340617,
        0.0358395,
        0.0359552,
        0.0321017,
        0.032059,
        0.0320074,
        0.0320677,
        0.0319774,
        0.031884,
        0.0329105,
        0.0321233,
        0.0319311,
        0.0317977,
        0.0323757,
        0.0325076,
        0.0324581,
        0.0329587,
        0.0385951,
        0.0383338,
        0.0356304,
        0.036481,
        0.0373251,
        0.0384395,
        0.0402246,
        0.0425937,
        0.0461685,
        0.0507643,
        0.056823,
        0.0657661,
        0.0798783,
        0.0928332,
        0.101179,
        0.101342,
        0.0953328,
        0.0851109,
        0.0755319,
        0.0679646,
        0.063065,
        0.0592711,
        0.0589986,
        0.0608162,
        0.0597853,
        0.0574668,
        0.0566756,
        0.0517639,
        0.0472407,
        0.0440682,
        0.041737,
        0.0400114,
        0.0383356,
        0.0399384,
        0.0384958,
        0.03396,
        0.0331977,
        0.0329466,
        0.0326837,
        0.033653,
        0.0324238,
        0.0320037,
        0.0351649,
        0.0350192,
        0.0315115,
        0.0315388,
        0.0315496,
        0.0313355,
        0.0313446,
        0.0315498,
        0.0316056,
        0.0316115,
        0.0316655,
        0.0318044,
        0.032479,
        0.0331035,
        0.0336693,
        0.0341283,
        0.0345522,
        0.0350231,
        0.0355836,
        0.036371,
        0.0372963,
        0.0388546,
        0.0398811,
        0.0411738,
        0.0431505,
        0.0506094,
        0.0529243,
        0.0498702,
        0.053036,
        0.0573544,
        0.0623653,
        0.0682193,
        0.0758107,
        0.0825426,
        0.0884058,
        0.0927605,
        0.0985724,
        0.104484,
        0.116363,
        0.135736,
        0.165345,
        0.205223,
        0.314513,
        0.217962,
        0.166918,
        0.132528,
        0.114065,
        0.0942402,
        0.0818254,
        0.0772441,
        0.0700158,
        0.0600314,
        0.0567453,
        0.0536124,
        0.0518592,
        0.0508773,
        0.0531145,
        0.0522485,
        0.0530871,
        0.052678,
        0.0522638,
        0.0527796,
        0.0484026,
        0.0462865,
        0.0445751,
        0.0438509,
        0.0435372,
        0.0431345,
        0.0425236,
        0.0427304,
        0.043378,
        0.0442161,
        0.0456869,
        0.0484825,
        0.0515194,
        0.0553164,
        0.0598552,
        0.0619739,
        0.0649088,
        0.0704518,
        0.0800014,
        0.0878652,
        0.0928925,
        0.0904285,
        0.0819286,
        0.071518,
        0.0620601,
        0.0542653,
        0.0481492,
        0.0443877,
        0.0414477,
        0.0414415,
        0.0392877,
        0.0356072,
        0.0347188,
        0.0338419,
        0.0326134,
        0.0319868,
        0.031385,
        0.0310989,
        0.0305988,
        0.0302327,
        0.0303284,
        0.0303857,
        0.0297249,
        0.0290717,
        0.030321,
        0.0298846,
        0.0287529,
        0.0305016,
        0.0300026,
        0.0283416,
        0.0286756,
        0.0288477,
        0.0291364,
        0.0291796,
        0.0320943,
        0.0321451,
        0.0302846,
        0.030821,
        0.0309781,
        0.0304953,
        0.0305406,
        0.0305102,
        0.030735,
        0.0330997,
        0.0324563,
        0.0322897,
        0.0330383,
        0.0344581,
        0.0367929,
        0.0392761,
        0.0412166,
        0.0445776,
        0.0473289,
        0.0487445,
        0.0484427,
        0.0473854,
        0.045497,
        0.0442934,
        0.0445288,
        0.0453129,
        0.0458506,
        0.0471904,
        0.0466906,
        0.0451651,
        0.0430368,
        0.0409736,
        0.0391484,
        0.0382573,
        0.0377955,
        0.0387178,
        0.0398233,
        0.0403763,
        0.0400889,
        0.03849,
        0.0362655,
        0.0344574,
        0.0327729,
        0.0314914,
        0.0305426,
        0.0297171,
        0.0292721,
        0.029049,
        0.0286701,
        0.0284382,
        0.0283767,
        0.0286424,
        0.0286768,
        0.0286581,
        0.0290323,
        0.0296353,
        0.0307125,
        0.0304939,
        0.0299285,
        0.0303931,
        0.0313274,
        0.0323397,
        0.0330983,
        0.0347631,
        0.0361671,
        0.0374881,
        0.0398027,
        0.0422775,
        0.0444313,
        0.0477929,
        0.0477357,
        0.0473097,
        0.0480638,
        0.0506785,
        0.0560642,
        0.0619297,
        0.068112,
        0.0773214,
        0.0869292,
        0.0940559,
        0.0952206,
        0.0916412,
        0.0832737,
        0.0746087,
        0.0671471,
        0.0614137,
        0.0570851,
        0.0543244,
        0.053021,
        0.0539825,
        0.0568379,
        0.0607233,
        0.0651611,
        0.0674579,
        0.0660827,
        0.0617624,
        0.0549293,
        0.0486208,
        0.0432513,
        0.0395497,
        0.0366403,
        0.0348009,
        0.0331264,
        0.0319507,
        0.0309036,
        0.0301696,
        0.0297564,
        0.0296195,
        0.0310113,
        0.0309222,
        0.0294237,
        0.0293055,
        0.0291133,
        0.0290398,
        0.0290376,
        0.0288177,
        0.0312504,
        0.0303508,
        0.0290725,
        0.0292725,
        0.0297589,
        0.0303929,
        0.0309274,
        0.0313505,
        0.0320775,
        0.0345775,
        0.0345604,
        0.0353449,
        0.0363433,
        0.0377367,
        0.0400311,
        0.0431221,
        0.0457751,
        0.047643,
        0.0478544,
        0.0523654,
        0.0522608,
        0.0484195,
        0.046105,
        0.0432908,
        0.0413145,
        0.0411239,
        0.0403871,
        0.0391097,
        0.039413,
        0.0402935,
        0.0407249,
        0.0440308,
        0.0403335,
        0.0366162,
        0.0343087,
        0.0326941,
        0.0312086,
        0.0299643,
        0.028775,
        0.0282676,
        0.0276035,
        0.0307134,
        0.0285862,
        0.0265967,
        0.0274135,
        0.0271707,
        0.0265908,
        0.0285326,
        0.0281112,
        0.0262951,
        0.0263647,
        0.0266188,
        0.0264876,
        0.0267495,
        0.0298839,
        0.0302658,
        0.0301909,
        0.0292811,
        0.0291136,
        0.0300583,
        0.0310391,
        0.0315745,
        0.0322241,
        0.032465,
        0.0320968,
        0.0317677,
        0.0304464,
        0.0299931,
        0.029191,
        0.0288148,
        0.0284267,
        0.0280468,
        0.0275182,
        0.0271634,
        0.0274525,
        0.030335,
        0.0291651,
        0.0272013,
        0.0262993,
        0.025875,
        0.025853,
        0.0259572,
        0.0288382,
        0.0289795,
        0.0294631,
        0.025946,
        0.0258201,
        0.0259885,
        0.0262031,
        0.0262827,
        0.0262267,
        0.0287679,
        0.0316307,
        0.0298851,
        0.0274151,
        0.0278285,
        0.0282042,
        0.0292946,
        0.0302946,
        0.0314449,
        0.0330241,
        0.0351885,
        0.037932,
        0.0417774,
        0.0466281,
        0.0522937,
        0.0551343,
        0.0562653,
        0.0554519,
        0.0528195,
        0.0504907,
        0.0493226,
        0.0489055,
        0.0475193,
        0.0454391,
        0.0435834,
        0.0398134,
        0.0371327,
        0.0351507,
        0.0341866,
        0.0337573,
        0.0340517,
        0.0327722,
        0.0317148,
        0.0311215,
        0.0319827,
        0.0331295,
        0.0307682,
        0.0298767,
        0.0319164,
        0.0316467,
        0.0303194,
        0.0302617,
        0.0306709,
        0.0307823,
        0.0339667,
        0.034812,
        0.0330241,
        0.0342904,
        0.0359366,
        0.037282,
        0.0387081,
        0.0392605,
        0.0387474,
        0.0382436,
        0.03736,
        0.036747,
        0.0367893,
        0.0385846,
        0.0390766,
        0.0396212,
        0.0405986,
        0.0401725,
        0.0394867,
        0.0381293,
        0.0369438,
        0.0361874,
        0.0354853,
        0.0347157,
        0.0347082,
        0.0352609,
        0.0351695,
        0.0359214,
        0.0364624,
        0.0373511,
        0.0432509,
        0.0504888,
        0.0441991,
        0.0438896,
        0.0473999,
        0.0508591,
        0.0541485,
        0.0578571,
        0.063674,
        0.0717431,
        0.0822442,
        0.0953125,
        0.112284,
        0.134379,
        0.170733,
        0.231049,
        0.32731,
        0.281402,
        0.19141,
        0.146378,
        0.119676,
        0.0979087,
        0.0836203,
        0.0726731,
        0.0658984,
        0.061566,
        0.0558151,
        0.0551674,
        0.0524701,
        0.0513646,
        0.0510105,
        0.050719,
        0.0512031,
        0.0613113,
        0.0599282,
        0.0480115,
        0.0447148,
        0.0415763,
        0.0391855,
        0.0372951,
        0.035834,
        0.0345232,
        0.0334638,
        0.0327479,
        0.0316001,
        0.0311228,
        0.0308499,
        0.0308054,
        0.0306585,
        0.0306625,
        0.0308094,
        0.0314589,
        0.0322749,
        0.0329186,
        0.0352705,
        0.0364307,
        0.0381388,
        0.0410572,
        0.0498956,
        0.0526333,
        0.0478109,
        0.0452501,
        0.042434,
        0.0394344,
        0.03656,
        0.0343998,
        0.0325829,
        0.0310672,
        0.0297471,
        0.0292455,
        0.0289598,
        0.0284487,
        0.0311016,
        0.03248,
        0.0282267,
        0.0275703,
        0.027617,
        0.027871,
        0.0282571,
        0.028615,
        0.0288178,
        0.0290645,
        0.0324235,
        0.0336052,
        0.0318819,
        0.0331328,
        0.033825,
        0.0336668,
        0.0332361,
        0.0326927,
        0.0320976,
        0.0314057,
        0.0314164,
        0.031953,
        0.032769,
        0.03333,
        0.0360805,
        0.0357416,
        0.0324359,
        0.0313697,
        0.0301856,
        0.0292074,
        0.0285573,
        0.0281809,
        0.0279073,
        0.0280028,
        0.0285499,
        0.0292226,
        0.0316081,
        0.0306395,
        0.0291745,
        0.0303648,
        0.02959,
        0.0292621,
        0.0326419,
        0.0328292,
        0.0284224,
        0.0275473,
        0.0273781,
        0.0270772,
        0.0296776,
        0.0297683,
        0.026602,
        0.0268062,
        0.0279095,
        0.0293783,
        0.0295307,
        0.0286134,
        0.0290993,
        0.0302409,
        0.0317789,
        0.0338688,
        0.0387703,
        0.0395054,
        0.0407817,
        0.03889,
        0.0345784,
        0.0325984,
        0.0306899,
        0.0292604,
        0.0283037,
        0.0277226,
        0.0271947,
        0.0267029,
        0.0263582,
        0.0260252,
        0.0256312,
        0.02548,
        0.0253626,
        0.0253455,
        0.0252982,
        0.0254079,
        0.0260041,
        0.0257772,
        0.0251813,
        0.0255622,
        0.0254506,
        0.025342,
        0.0252329,
        0.025051,
        0.0249191,
        0.0248873,
        0.0246705,
        0.0251392,
        0.0251027,
        0.0247911,
        0.0249937,
        0.0253278,
        0.0281059,
        0.0274346,
        0.0265068,
        0.0264233,
        0.026003,
        0.0257755,
        0.025723,
        0.0254479,
        0.0257946,
        0.0258874,
        0.0283318,
        0.0286475,
        0.025966,
        0.0262894,
        0.0264668,
        0.0267768,
        0.0275214,
        0.0282306,
        0.0292139,
        0.0302441,
        0.0310402,
        0.0330625,
        0.0357642,
        0.0381642,
        0.0398995,
        0.0443394,
        0.0443372,
        0.0397859,
        0.0374373,
        0.0352165,
        0.0328694,
        0.0318372,
        0.0336976,
        0.0323563,
        0.0298969,
        0.0320047,
        0.0315055,
        0.0308509,
        0.0314567,
        0.0319171,
        0.0337636,
        0.0352139,
        0.0358099,
        0.0369549,
        0.0382499,
        0.0394514,
        0.0399788,
        0.0397238,
        0.0393149,
        0.038274,
        0.0374508,
        0.0370752,
        0.0376049,
        0.0372898,
        0.0379995,
        0.0362465,
        0.0349096,
        0.034185,
        0.0338586,
        0.0343736,
        0.0338507,
        0.0335426,
        0.0342282,
        0.0353991,
        0.0368697,
        0.0392594,
        0.0402056,
        0.0397318,
        0.038118,
        0.0409769,
        0.0383658,
        0.0323366,
        0.0308864,
        0.0313084,
        0.0317823,
        0.0288989,
        0.0295447,
        0.0284589,
        0.0271764,
        0.0269288,
        0.0268174,
        0.0267515,
        0.0264991,
        0.0263081,
        0.028122,
        0.0282149,
        0.0262241,
        0.0260365,
        0.0258467,
        0.026558,
        0.0264723,
        0.0255915,
        0.025321,
        0.0253005,
        0.0251466,
        0.0252734,
        0.0252981,
        0.0255363,
        0.02533,
        0.0251687,
        0.0250203,
        0.0251921,
        0.0252767,
        0.0252775,
        0.0250136,
        0.0250634,
        0.025093,
        0.0249098,
        0.0246884,
        0.024639,
        0.024615,
        0.0247636,
        0.0248951,
        0.0259319,
        0.0252922,
        0.0252741,
        0.0255556,
        0.025516,
        0.025758,
        0.0259554,
        0.025562,
        0.0255093,
        0.0256713,
        0.0254956,
        0.0251415,
        0.0251591,
        0.0252469,
        0.0253336,
        0.0254877,
        0.0254513,
        0.02652,
        0.0258731,
        0.0252864,
        0.0252968,
        0.0252914,
        0.0253834,
        0.0255516,
        0.0254112,
        0.0255347,
        0.0254345,
        0.025567,
        0.0257026,
        0.0260266,
        0.0262069,
        0.0262783,
        0.0267145,
        0.0268116,
        0.0270361,
        0.0271539,
        0.0275869,
        0.0280133,
        0.0284858,
        0.0289033,
        0.0296132,
        0.0307571,
        0.0319717,
        0.0335652,
        0.0351961,
        0.0410897,
        0.0433915,
        0.0409244,
        0.0419963,
        0.0422224,
        0.041982,
        0.0418229,
        0.0430101,
        0.0490989,
        0.0517784,
        0.0535905,
        0.0552378,
        0.0526811,
        0.0503196,
        0.0472972,
        0.0431212,
        0.0401509,
        0.0391308,
        0.0381867,
        0.0376316,
        0.0375591,
        0.0375559,
        0.0374889,
        0.0366576,
        0.0356404,
        0.0342022,
        0.032822,
        0.0320754,
        0.0313807,
        0.0307391,
        0.0302867,
        0.0299364,
        0.0294626,
        0.0293653,
        0.029383,
        0.0293301,
        0.029472,
        0.0295863,
        0.031852,
        0.0330708,
        0.0302357,
        0.0296534,
        0.029307,
        0.0290978,
        0.0290572,
        0.0294555,
        0.0297757,
        0.0301475,
        0.0304829,
        0.0308973,
        0.0311155,
        0.0314423,
        0.0319207,
        0.032454,
        0.0328853,
        0.0337035,
        0.0344942,
        0.0357077,
        0.036975,
        0.0377335,
        0.0388626,
        0.0399893,
        0.0413776,
        0.0431911,
        0.0447945,
        0.0464652,
        0.0491186,
        0.0530359,
        0.0565566,
        0.0644731,
        0.0694079,
        0.0769586,
        0.0860173,
        0.100671,
        0.128819,
        0.159161,
        0.209497,
        0.296561,
        0.261409,
        0.187753,
        0.151315,
        0.12365,
        0.100695,
        0.0868801,
        0.0774332,
        0.0701388,
        0.0642435,
        0.0597441,
        0.0557334,
        0.0523347,
        0.0497101,
        0.0476323,
        0.0461708,
        0.0453992,
        0.04442,
        0.0438873,
        0.043917,
        0.0472137,
        0.0473293,
        0.0474853,
        0.0495561,
        0.0509063,
        0.0510593,
        0.0490683,
        0.0464841,
        0.0440961,
        0.0415056,
        0.0389531,
        0.0375401,
        0.0369307,
        0.0364889,
        0.036305,
        0.0360826,
        0.0356715,
        0.0353193,
        0.0358286,
        0.0364074,
        0.0390986,
        0.0420711,
        0.0403507,
        0.0391867,
        0.0402443,
        0.0415926,
        0.0435085,
        0.0447988,
        0.0459941,
        0.0456261,
        0.0443043,
        0.0462381,
        0.0433489,
        0.0390805,
        0.0378734,
        0.0370342,
        0.0363656,
        0.0359662,
        0.0356986,
        0.035001,
        0.0341866,
        0.0333728,
        0.0322617,
        0.0317414,
        0.0308878,
        0.030203,
        0.0297722,
        0.0295002,
        0.0294169,
        0.0291402,
        0.0295343,
        0.0292954,
        0.0286392,
        0.0279896,
        0.0277765,
        0.0277102,
        0.0273555,
        0.0272569,
        0.0271575,
        0.0273834,
        0.0274292,
        0.027407,
        0.0270959,
        0.0268702,
        0.0270599,
        0.0273884,
        0.0298883,
        0.0296499,
        0.0265699,
        0.026656,
        0.0266102,
        0.0266383,
        0.0265546,
        0.0264186,
        0.026367,
        0.0263555,
        0.0263875,
        0.026218,
        0.0261885,
        0.0262007,
        0.0264458,
        0.0262829,
        0.0267043,
        0.0266768,
        0.0267064,
        0.0267761,
        0.0270519,
        0.0269332,
        0.0268492,
        0.0265207,
        0.0261614,
        0.0260251,
        0.0260766,
        0.0279235,
        0.0278454,
        0.0262034,
        0.0261217,
        0.0262812,
        0.0269281,
        0.0268229,
        0.0273937,
        0.027466,
        0.0279683,
        0.0284685,
        0.0293538,
        0.0305488,
        0.0321786,
        0.0338408,
        0.0362255,
        0.0391254,
        0.040815,
        0.0404908,
        0.0390887,
        0.0365861,
        0.0343968,
        0.03267,
        0.0316424,
        0.0305609,
        0.0331695,
        0.0325538,
        0.0292853,
        0.028991,
        0.0286024,
        0.0282544,
        0.0281254,
        0.0279367,
        0.0277368,
        0.0275779,
        0.027487,
        0.0274097,
        0.0272382,
        0.0272007,
        0.027364,
        0.0276979,
        0.0279613,
        0.0284881,
        0.029321,
        0.0327,
        0.0329022,
        0.029179,
        0.0292992,
        0.029274,
        0.0291324,
        0.0311283,
        0.0309513,
        0.0287173,
        0.0284368,
        0.0282726,
        0.0285671,
        0.028847,
        0.0292326,
        0.029373,
        0.0316223,
        0.0321044,
        0.0309718,
        0.031404,
        0.0320508,
        0.033123,
        0.0327739,
        0.0326497,
        0.0324915,
        0.0321483,
        0.0324468,
        0.0341197,
        0.0351504,
        0.034762,
        0.0361386,
        0.0378431,
        0.0391401,
        0.0395719,
        0.038858,
        0.0370052,
        0.0351177,
        0.0337099,
        0.032389,
        0.0312611,
        0.0306577,
        0.0299383,
        0.0295568,
        0.0293702,
        0.0293772,
        0.0312926,
        0.0321546,
        0.0284436,
        0.0285627,
        0.028408,
        0.0282833,
        0.028176,
        0.0282583,
        0.0286698,
        0.0288279,
        0.0291413,
        0.0291969,
        0.0293753,
        0.0293649,
        0.0292483,
        0.0311988,
        0.0311487,
        0.0288556,
        0.033554,
        0.0334799,
        0.0288895,
        0.0294651,
        0.0298142,
        0.0301911,
        0.0314711,
        0.0369903,
        0.0360918,
        0.0326632,
        0.0334237,
        0.0348165,
        0.0365942,
        0.0390416,
        0.0427307,
        0.0476068,
        0.0540495,
        0.0637585,
        0.0777572,
        0.0949548,
        0.112654,
        0.127635,
        0.133691,
        0.124495,
        0.106785,
        0.0886833,
        0.0737905,
        0.0626753,
        0.053843,
        0.0477915,
        0.0425836,
        0.0393342,
        0.0372966,
        0.0354929,
        0.0341681,
        0.0334723,
        0.0324109,
        0.0319047,
        0.0314382,
        0.0327369,
        0.0317617,
        0.0332354,
        0.0322108,
        0.0297213,
        0.0291584,
        0.0290773,
        0.0289884,
        0.029307,
        0.0295164,
        0.0299639,
        0.0298766,
        0.0293656,
        0.0288657,
        0.0285774,
        0.0288733,
        0.0308665,
        0.0308396,
        0.0292827,
        0.0309921,
        0.0305106,
        0.0295581,
        0.0294233,
        0.0298614,
        0.030391,
        0.030035,
        0.0297498,
        0.029923,
        0.0297579,
        0.0296865,
        0.0294847,
        0.0295554,
        0.0294284,
        0.0297513,
        0.0299565,
        0.0298322,
        0.0306389,
        0.0316402,
        0.0325538,
        0.0339168,
        0.0355802,
        0.0380193,
        0.0416181,
        0.0476326,
        0.0513493,
        0.0515281,
        0.0526655,
        0.0525292,
        0.0506616,
        0.0473936,
        0.0444815,
        0.0416921,
        0.0399708,
        0.0381902,
        0.0368376,
        0.0355204,
        0.0347093,
        0.0342261,
        0.0341675,
        0.036757,
        0.0366477,
        0.0339133,
        0.0342809,
        0.0345509,
        0.0350733,
        0.0368493,
        0.036819,
        0.0352148,
        0.0353266,
        0.0361783,
        0.0370376,
        0.036934,
        0.0372204,
        0.0374798,
        0.0374406,
        0.0367104,
        0.0360307,
        0.0356308,
        0.0351827,
        0.0347249,
        0.0347084,
        0.0347557,
        0.0349822,
        0.0355768,
        0.0366059,
        0.0382401,
        0.0399551,
        0.0427677,
        0.0453151,
        0.0464749,
        0.0463339,
        0.0447624,
        0.0426635,
        0.0429523,
        0.0406612,
        0.03661,
        0.0350818,
        0.0341673,
        0.033548,
        0.0329301,
        0.0324029,
        0.032071,
        0.0347918,
        0.0347428,
        0.0316724,
        0.031694,
        0.0325969,
        0.0325541,
        0.0320877,
        0.032169,
        0.0325949,
        0.0339684,
        0.0340466,
        0.0337846,
        0.0338828,
        0.0341757,
        0.0348152,
        0.0353889,
        0.036352,
        0.0369117,
        0.0378282,
        0.0387332,
        0.0388865,
        0.0396522,
        0.0405843,
        0.0417987,
        0.0429511,
        0.0433891,
        0.0447776,
        0.0497165,
        0.0564629,
        0.0552034,
        0.0521418,
        0.0544852,
        0.0633669,
        0.0675814,
        0.0652952,
        0.0706818,
        0.0773244,
        0.085426,
        0.097126,
        0.114996,
        0.141563,
        0.173512,
        0.219576,
        0.291629,
        0.425688,
        0.199697,
        0.162571,
        0.143151,
        0.125217,
        0.111145,
        0.104585,
        0.100231,
        0.0961039,
        0.0941472,
        0.0943026,
        0.0976537,
        0.105935,
        0.120013,
        0.14322,
        0.180313,
        0.251939,
        0.349044,
        0.22387,
        0.163023,
        0.126221,
        0.101989,
        0.0869864,
        0.0782554,
        0.0716147,
        0.0662468,
        0.0631023,
        0.0619817,
        0.0621194,
        0.063537,
        0.0646972,
        0.0656475,
        0.0641025,
        0.060477,
        0.0558638,
        0.0516394,
        0.047366,
        0.0446961,
        0.0426871,
        0.0409278,
        0.0401738,
        0.0391569,
        0.0384072,
        0.0383379,
        0.0406895,
        0.0408918,
        0.0384034,
        0.0389918,
        0.0388386,
        0.0420842,
        0.0401832,
        0.0371244,
        0.0362508,
        0.0353338,
        0.0342069,
        0.0335551,
        0.0328641,
        0.0326925,
        0.032409,
        0.0323716,
        0.0336467,
        0.0322875,
        0.0312717,
        0.0312867,
        0.0310361,
        0.0308317,
        0.0308948,
        0.0309659,
        0.0306369,
        0.0312333,
        0.031588,
        0.0311518,
        0.0312972,
        0.0311821,
        0.0312767,
        0.0316368,
        0.0314228,
        0.0349542,
        0.034909,
        0.0316166,
        0.0315277,
        0.0312912,
        0.0316451,
        0.031383,
        0.0313426,
        0.0311098,
        0.030943,
        0.0311455,
        0.0311245,
        0.0313853,
        0.0340934,
        0.034257,
        0.0316248,
        0.0316437,
        0.0316696,
        0.031719,
        0.0324249,
        0.0317364,
        0.0314897,
        0.0314685,
        0.0313219,
        0.0310806,
        0.0313627,
        0.0316392,
        0.0315739,
        0.0316492,
        0.031524,
        0.0320368,
        0.0319533,
        0.0313518,
        0.0315495,
        0.0311793,
        0.0307739,
        0.0309974,
        0.0317124,
        0.0316457,
        0.030673,
        0.0306731,
        0.0309273,
        0.031438,
        0.0319098,
        0.0323558,
        0.0332548,
        0.0337548,
        0.0336549,
        0.0343608,
        0.0349312,
        0.0371874,
        0.0406263,
        0.0396888,
        0.0389876,
        0.040021,
        0.0407842,
        null,
        0.0495702,
        0.0490267,
        0.0478918,
        0.0481673,
        0.0488291,
        0.0480743,
        0.0477076,
        0.0471821,
        0.0469064,
        0.0474201,
        0.0473602,
        0.0470678,
        0.0473497,
        0.0475492,
        0.0477902,
        0.0472999,
        0.0468326,
        0.0466981,
        0.046132,
        0.0453168,
        0.0451839,
        0.045766,
        0.0460967,
        0.0462899,
        0.046706,
        0.0478529,
        0.0489103,
        0.0495216,
        0.0484863,
        0.0467039,
        0.045704,
        0.0449526,
        0.0444592,
        0.0443401,
        0.0438965,
        0.0439696,
        0.0435567,
        0.0433053,
        0.0432966,
        0.0432595,
        0.0433938,
        0.0436494,
        0.0482592,
        0.0488742,
        0.043786,
        0.0434786,
        0.0442683,
        0.0447996,
        0.0449436,
        0.0448905,
        0.0456405,
        0.0460425,
        0.0451555,
        0.0449284,
        0.0459777,
        0.0466901,
        0.0473345,
        0.0477556,
        0.0479948,
        0.0477022,
        0.0473498,
        0.0471416,
        0.0462336,
        0.0456544,
        0.045329,
        0.044779,
        0.044433,
        0.0438525,
        0.0438302,
        0.0438921,
        0.0442416,
        0.0447563,
        0.0447767,
        0.0452162,
        0.0456158,
        0.0465884,
        0.0470976,
        0.047267,
        0.0478781,
        0.0489145,
        0.0516986,
        0.05405,
        0.0558744,
        0.0590654,
        0.0609402,
        0.0605509,
        0.058797,
        0.0564636,
        0.0539864,
        0.0525778,
        0.0511601,
        0.0504436,
        0.0507614,
        0.0512234,
        0.0514091,
        0.0521406,
        0.0528518,
        0.0537657,
        0.0548541,
        0.0553947,
        0.0562859,
        0.0582781,
        0.0645113,
        0.063251,
        0.0704715,
        0.0758805,
        0.0730202,
        0.0779125,
        0.0841417,
        0.0916213,
        0.102288,
        0.116921,
        0.13757,
        0.166442,
        0.20771,
        0.385968,
        0.216512,
        0.173178,
        0.142697,
        0.119675,
        0.105844,
        0.0951631,
        0.0866143,
        0.0805017,
        0.0753237,
        0.0713827,
        0.0756761,
        0.0712364,
        0.0614291,
        0.0591516,
        0.0575065,
        0.0563179,
        0.0549104,
        0.0530889,
        0.0515955,
        0.0507142,
        0.0499879,
        0.0491377,
        0.0478197,
        0.0466621,
        0.045384,
        0.0449479,
        0.0449566,
        0.0448868,
        0.0441219,
        0.0435306,
        0.043929,
        0.0437019,
        0.0435302,
        0.0431448,
        0.0428907,
        0.0425046,
        0.042764,
        0.042596,
        0.041843,
        0.0416063,
        0.0412415,
        0.0412476,
        0.0412885,
        0.0408922,
        0.0406184,
        0.041414,
        0.0419239,
        0.0414171,
        0.0419025,
        0.042823,
        0.0441818,
        0.046109,
        0.0487061,
        0.0511471,
        0.0527904,
        0.0535842,
        0.052592,
        0.0506953,
        0.0480536,
        0.0456485,
        0.0436589,
        0.0422144,
        0.043481,
        0.0421949,
        0.0389202,
        0.0382646,
        0.0376669,
        0.0373507,
        0.0369549,
        0.0365969,
        0.0367737,
        0.0366509,
        0.036421,
        0.0364531,
        0.0370106,
        0.0372493,
        0.0373258,
        0.0371725,
        0.0366391,
        0.036494,
        0.0427016,
        0.0424343,
        0.0365517,
        0.0362208,
        0.0362571,
        0.0360139,
        0.0358512,
        0.0359037,
        0.0357465,
        0.0361136,
        0.0359127,
        0.0356463,
        0.0360028,
        0.036199,
        0.036027,
        0.0360298,
        0.0360206,
        0.0360785,
        0.0359437,
        0.0359414,
        0.0357578,
        0.035526,
        0.0352119,
        0.0351435,
        0.0354094,
        0.0346324,
        0.0343029,
        0.0342516,
        0.0344519,
        0.0342551,
        0.0342105,
        0.0339585,
        0.0338515,
        0.0341573,
        0.0342938,
        0.0340023,
        0.0341885,
        0.0341378,
        0.033772,
        0.0337841,
        0.0341032,
        0.0342909,
        0.0346754,
        0.034811,
        0.0347145,
        0.0347582,
        0.0350314,
        0.0351104,
        0.0352886,
        0.0354333,
        0.0354694,
        0.0355166,
        0.0355706,
        0.0357821,
        0.0359465,
        0.036624,
        0.0370356,
        0.0366816,
        0.0365656,
        0.0367824,
        0.0368404,
        0.0364229,
        0.0359891,
        0.0360381,
        0.0364766,
        0.0366572,
        0.0369214,
        0.0371355,
        0.0372146,
        0.0376509,
        0.0388397,
        0.0400196,
        0.0414607,
        0.0435101,
        0.0457804,
        0.0486085,
        0.0515373,
        0.0517086,
        0.0503681,
        0.0491757,
        0.0486264,
        0.0522654,
        0.0528073,
        0.0503504,
        0.053078,
        0.0562088,
        0.0606148,
        0.067341,
        0.0725239,
        0.0783583,
        0.082419,
        0.0850848,
        0.0838137,
        0.0794906,
        0.072689,
        0.0652946,
        0.0595794,
        0.0546146,
        0.0504123,
        0.0471681,
        0.0445229,
        0.0425475,
        0.0409184,
        0.0397475,
        0.0389324,
        0.0381576,
        0.0380662,
        0.0380968,
        0.0384633,
        0.0385375,
        0.0381967,
        0.037641,
        0.0373999,
        0.0371889,
        0.036944,
        0.0366612,
        0.0360422,
        0.0356778,
        0.035383,
        0.0348894,
        0.0344526,
        0.0344635,
        0.0342447,
        0.0336876,
        0.0333635,
        0.0328251,
        0.0327986,
        0.0329795,
        0.0325912,
        0.0323655,
        0.032308,
        0.0320952,
        0.0318182,
        0.0316811,
        0.0316144,
        0.0315548,
        0.0314616,
        0.0314206,
        0.0312462,
        0.0309965,
        0.0308102,
        0.03097,
        0.0312344,
        0.0312238,
        0.0309918,
        0.0309499,
        0.0309994,
        0.0311256,
        0.0311751,
        0.0311065,
        0.0313414,
        0.0312265,
        0.0312195,
        0.0311999,
        0.0310053,
        0.0308533,
        0.03095,
        0.0310864,
        0.0309341,
        0.0311195,
        0.0311595,
        0.0313196,
        0.0314362,
        0.0318301,
        0.0320554,
        0.0320374,
        0.0320663,
        0.0322779,
        0.0334731,
        0.033398,
        0.0335502,
        0.0338178,
        0.0341674,
        0.0344894,
        0.0350204,
        0.0359177,
        0.037439,
        0.0392129,
        0.0409695,
        0.0427071,
        0.0432708,
        0.0426569,
        0.0410594,
        0.0390207,
        0.0370233,
        0.0355129,
        0.0345086,
        0.0335207,
        0.0330371,
        0.0323635,
        0.0346766,
        0.0341292,
        0.0310528,
        0.0311938,
        0.0307186,
        0.0301927,
        0.0302522,
        0.0302105,
        0.0301487,
        0.0303464,
        0.0302353,
        0.0300599,
        0.02995,
        0.0300941,
        0.0303061,
        0.0308101,
        0.0309303,
        0.0316103,
        0.0314908,
        0.031,
        0.030741,
        0.0308273,
        0.0305715,
        0.0304352,
        0.0307139,
        0.0308891,
        0.0307387,
        0.0309097,
        0.0308846,
        0.0309671,
        0.031146,
        0.0313148,
        0.0314908,
        0.0315974,
        0.0312729,
        0.0313405,
        0.0314069,
        0.0314241,
        0.0318119,
        0.0316548,
        0.0317148,
        0.0315787,
        0.0315407,
        0.0318473,
        0.0318711,
        0.0318478,
        0.0320007,
        0.0321617,
        0.0321471,
        0.0324041,
        0.0327031,
        0.0328082,
        0.0329868,
        0.0328373,
        0.0334674,
        0.0347571,
        0.0335528,
        0.0324428,
        0.0323532,
        0.0320865,
        0.0320286,
        0.034797,
        0.0343626,
        0.0323272,
        0.0317902,
        0.0317588,
        0.0319664,
        0.0322339,
        0.0321602,
        0.0321532,
        0.0357583,
        0.0373344,
        0.0329961,
        0.0360976,
        0.0361242,
        0.0332112,
        0.0336981,
        0.0341414,
        0.0345763,
        0.0351067,
        0.0359562,
        0.0366132,
        0.0374764,
        0.0386081,
        0.0395453,
        0.0410316,
        0.0424957,
        0.0439778,
        0.0465267,
        0.0521225,
        0.0552931,
        0.0575803,
        0.0626993,
        0.0702839,
        0.0781932,
        0.0861269,
        0.0932444,
        0.100021,
        0.109963,
        0.124592,
        0.14671,
        0.183054,
        0.245968,
        0.317176,
        0.212507,
        0.15814,
        0.122563,
        0.0994357,
        0.0838418,
        0.0729687,
        0.0645166,
        0.0578845,
        0.052636,
        0.0492007,
        0.0466684,
        0.0448349,
        0.0432563,
        0.0414921,
        0.0398535,
        0.0384522,
        0.0372975,
        0.0367944,
        0.0365414,
        0.0358359,
        0.0351676,
        0.0349304,
        0.0341787,
        0.0334636,
        0.0330914,
        0.0366408,
        0.0357504,
        0.0322452,
        0.0318832,
        0.0313867,
        0.0310599,
        0.0307289,
        0.0306853,
        0.0315224,
        0.0306878,
        0.0305102,
        0.030523,
        0.029923,
        0.0304596,
        0.031168,
        0.030548,
        0.0297387,
        0.0297868,
        0.029634,
        0.0295331,
        0.0295637,
        0.0295817,
        0.0293426,
        0.0292101,
        0.0291013,
        0.0289537,
        0.0287427,
        0.0286378,
        0.0285198,
        0.0283008,
        0.0288952,
        0.0282659,
        0.0278182,
        0.0279039,
        0.0292129,
        0.0288656,
        0.0274682,
        0.0272763,
        0.0271413,
        0.0271651,
        0.0270011,
        0.0271528,
        0.0286366,
        0.0280509,
        0.0279232,
        0.0281201,
        0.0282287,
        0.0280504,
        0.0281279,
        0.0281166,
        0.0281136,
        0.0284682,
        0.0283819,
        0.0281646,
        0.0282706,
        0.0287483,
        0.0292356,
        0.0302229,
        0.0311756,
        0.0324287,
        0.0340579,
        0.0354655,
        0.0354855,
        0.0368885,
        0.035216,
        0.0323596,
        0.0314919,
        0.0306215,
        0.0299159,
        0.029458,
        0.029183,
        0.028762,
        0.0286283,
        0.0283205,
        0.028089,
        0.0278921,
        0.0278234,
        0.0274605,
        0.0274357,
        0.0274235,
        0.0273445,
        0.0273702,
        0.0274271,
        0.0293505,
        0.0302914,
        0.0303928,
        0.0282525,
        0.02727,
        0.0274385,
        0.0275364,
        0.0278285,
        0.0283183,
        0.0280672,
        0.0311398,
        0.03071,
        0.026925,
        0.0266563,
        0.0265062,
        0.026231,
        0.0261397,
        0.0260564,
        0.0270166,
        0.0260357,
        0.0256388,
        0.025788,
        0.0259624,
        0.025981,
        0.0258479,
        0.0260636,
        0.0261199,
        0.0260508,
        0.0259779,
        0.0263217,
        0.0288955,
        0.0290633,
        0.0269625,
        0.0268864,
        0.0268459,
        0.026728,
        0.0268143,
        0.0265729,
        0.026594,
        0.0267096,
        0.0265269,
        0.026565,
        0.0267343,
        0.0267698,
        0.0268892,
        0.0271251,
        0.0272188,
        0.0271688,
        0.0269869,
        0.0267777,
        0.0268786,
        0.0268594,
        0.0268604,
        0.030286,
        0.0304473,
        0.0270415,
        0.0272627,
        0.0275282,
        0.0276871,
        0.027514,
        0.0274389,
        0.0273993,
        0.0291237,
        0.0277856,
        0.0272967,
        0.0270799,
        0.027188,
        0.0270414,
        0.027103,
        0.0272084,
        0.027286,
        0.0273576,
        0.0274934,
        0.0276667,
        0.027951,
        0.0285421,
        0.0292351,
        0.0302104,
        0.0305372,
        0.0307577,
        0.0310452,
        0.0322579,
        0.0336944,
        0.0347598,
        0.0366236,
        0.039044,
        0.0412706,
        0.0429704,
        0.0442984,
        0.0449221,
        0.0449513,
        0.0462763,
        0.0479217,
        0.051183,
        0.055402,
        0.0623388,
        0.0725434,
        0.0865843,
        0.108563,
        0.141192,
        0.19743,
        0.185751,
        0.133113,
        0.100677,
        0.0814946,
        0.0688521,
        0.0599454,
        0.0527389,
        0.0477014,
        0.0437482,
        0.0411732,
        0.038989,
        0.0375869,
        0.0364555,
        0.0349718,
        0.0336608,
        0.0325405,
        0.0317025,
        0.0311663,
        0.0314663,
        0.0301394,
        0.0309168,
        0.0294275,
        0.028583,
        0.0283979,
        0.0280933,
        0.0277795,
        0.0275421,
        0.0277321,
        0.0275612,
        0.0276774,
        0.0276583,
        0.027637,
        0.0276394,
        0.0278875,
        0.0278221,
        0.0275884,
        0.0276115,
        0.0272774,
        0.0266739,
        0.0265556,
        0.0265698,
        0.0265967,
        0.0263946,
        0.0267094,
        0.0268097,
        0.02675,
        0.0268324,
        0.0270946,
        0.0270501,
        0.0270414,
        0.0267731,
        0.0267855,
        0.0269554,
        0.0279025,
        0.0276163,
        0.0263648,
        0.0260888,
        0.0263768,
        0.026214,
        0.0262373,
        0.028058,
        0.0280659,
        0.0262817,
        0.0263875,
        0.0263621,
        0.0259927,
        0.0260731,
        0.0262682,
        0.0267451,
        0.0274527,
        0.0268666,
        0.0265107,
        0.0266027,
        0.0266992,
        0.0265937,
        0.0264023,
        0.0263574,
        0.0263798,
        0.0262692,
        0.0261408,
        0.0262636,
        0.0262684,
        0.0260788,
        0.0260874,
        0.0261854,
        0.0268216,
        0.0276522,
        0.0283413,
        0.0293842,
        0.0306119,
        0.0310042,
        0.0307761,
        0.0298198,
        0.02908,
        0.0280169,
        0.0274928,
        0.0270978,
        0.0266286,
        0.0261963,
        0.0261408,
        0.0260112,
        0.0265817,
        0.0269932,
        0.026302,
        0.0264511,
        0.026301,
        0.0259085,
        0.0262581,
        0.026284,
        0.0262323,
        0.026219,
        0.0269999,
        0.0267957,
        0.0263638,
        0.0262246,
        0.026392,
        0.0265397,
        0.0266533,
        0.0269044,
        0.0268619,
        0.0266902,
        0.0266724,
        0.0265349,
        0.0264751,
        0.0265482,
        0.0280985,
        0.0277146,
        0.027028,
        0.0273242,
        0.0279719,
        0.0280567,
        0.0281465,
        0.0282421,
        0.0284889,
        0.0288444,
        0.0290988,
        0.0294557,
        0.0297062,
        0.0302118,
        0.0309043,
        0.031615,
        0.0326084,
        0.0334357,
        0.0342349,
        0.0350826,
        0.0354906,
        0.0354523,
        0.0355058,
        0.0347479,
        0.0379856,
        0.0373722,
        0.0331292,
        0.0323858,
        0.0325128,
        0.0336424,
        0.0331057,
        0.0322796,
        0.0332075,
        0.0335989,
        0.0342897,
        0.0348276,
        0.0357507,
        0.03644,
        0.0379846,
        0.0394986,
        0.0412364,
        0.0429691,
        0.0456332,
        0.0482118,
        0.0513569,
        0.0556113,
        0.0625226,
        0.0716124,
        0.0843776,
        0.100118,
        0.125063,
        0.167038,
        0.233971,
        0.346541,
        0.218063,
        0.146819,
        0.114298,
        0.0919765,
        0.0765977,
        0.0660728,
        0.0584715,
        0.0534596,
        0.0496933,
        0.0466788,
        0.0445917,
        0.0467464,
        0.0457679,
        0.0419128,
        0.0415147,
        0.0430244,
        0.0411143,
        0.0376303,
        0.0370088,
        0.0345367,
        0.0328218,
        0.0319734,
        0.0311852,
        0.030243,
        0.0310891,
        0.0294255,
        0.028372,
        0.0279256,
        0.0275754,
        0.027714,
        0.027902,
        0.0275092,
        0.0270331,
        0.0271703,
        0.026965,
        0.0269167,
        0.026732,
        0.0267639,
        0.0266998,
        0.0265005,
        0.0266966,
        0.0272017,
        0.0270026,
        0.0268561,
        0.0269404,
        0.0268911,
        0.0271224,
        0.0270941,
        0.0271695,
        0.0273089,
        0.0279298,
        0.0300059,
        0.0298947,
        0.028183,
        0.0267594,
        0.026455,
        0.0290723,
        0.0287892,
        0.0254414,
        0.0252262,
        0.0250023,
        0.0248381,
        0.0245269,
        0.0243026,
        0.0242412,
        0.0242644,
        0.0241737,
        0.0241995,
        0.0244088,
        0.02751,
        0.0277553,
        0.0239912,
        0.023937,
        0.0239779,
        0.0242318,
        0.0242717,
        0.0243381,
        0.0243566,
        0.0242103,
        0.0241624,
        0.0242657,
        0.0241916,
        0.0242329,
        0.0242222,
        0.0242753,
        0.0241746,
        0.0241439,
        0.0241412,
        0.0243935,
        0.0246097,
        0.0247556,
        0.0249441,
        0.0249624,
        0.0250871,
        0.0249116,
        0.0251476,
        0.0253492,
        0.025087,
        0.0250191,
        0.0251176,
        0.0249533,
        0.0248514,
        0.0250556,
        0.0248804,
        0.0246712,
        0.0249217,
        0.025147,
        0.0251457,
        0.0253715,
        0.0255245,
        0.0255056,
        0.0257297,
        0.0255348,
        0.0255732,
        0.0253744,
        0.0251344,
        0.0250954,
        0.024989,
        0.0249506,
        0.0259865,
        0.0256573,
        0.0254356,
        0.0255764,
        0.0253869,
        0.0257292,
        0.0264788,
        0.0273247,
        0.0281123,
        0.0288959,
        0.0291516,
        0.0288746,
        0.0279957,
        0.0273925,
        0.026692,
        0.0265779,
        0.0258066,
        0.0253582,
        0.0248166,
        0.0245893,
        0.0244849,
        0.0242907,
        0.0249187,
        0.025082,
        0.0245202,
        0.0243067,
        0.024395,
        0.024314,
        0.0242364,
        0.0244189,
        0.0243174,
        0.0243172,
        0.0243185,
        0.0246571,
        0.025415,
        0.0251315,
        0.0251699,
        0.0250442,
        0.0251681,
        0.0251451,
        0.0249151,
        0.0252043,
        0.0253286,
        0.0253803,
        0.0254625,
        0.0253217,
        0.0253776,
        0.0254717,
        0.02529,
        0.0251775,
        0.0252857,
        0.0253941,
        0.025625,
        0.0256627,
        0.0255732,
        0.0255573,
        0.0256271,
        0.025748,
        0.0257049,
        0.0258476,
        0.0262529,
        0.0263244,
        0.0263233,
        0.0266232,
        0.027413,
        0.0276446,
        0.0281729,
        0.028354,
        0.0280088,
        0.0275935,
        0.0270907,
        0.0266331,
        0.0262381,
        0.0265559,
        0.0260836,
        0.0255347,
        0.0254376,
        0.0252251,
        0.0252916,
        0.0253402,
        0.0261583,
        0.0256071,
        0.0254389,
        0.0255292,
        0.025516,
        0.0256298,
        0.025497,
        0.027192,
        0.0273386,
        0.0255275,
        0.0256425,
        0.0255819,
        0.0254852,
        0.0257917,
        0.025776,
        0.0256175,
        0.0254899,
        0.025688,
        0.0271823,
        0.0272052,
        0.0283336,
        0.0276863,
        0.0269429,
        0.0268612,
        0.0263981,
        0.0264522,
        0.026498,
        0.0265606,
        0.0265774,
        0.0268031,
        0.0269391,
        0.0269252,
        0.0267785,
        0.0268492,
        0.0270215,
        0.0271679,
        0.0271908,
        0.0274432,
        0.02918,
        0.0292981,
        0.0283174,
        0.0287307,
        0.0291754,
        0.0300437,
        0.0307354,
        0.0312346,
        0.030826,
        0.0327234,
        0.0306644,
        0.0288302,
        0.0283544,
        0.0288506,
        0.0275618,
        0.0267794,
        0.0266688,
        0.0269482,
        0.0268105,
        0.0269792,
        0.0277729,
        0.0276659,
        0.0271603,
        0.0271727,
        0.0272589,
        0.0277812,
        0.0281624,
        0.0285189,
        0.0289126,
        0.0297255,
        0.0307533,
        0.0319234,
        0.0329309,
        0.0341176,
        0.0356198,
        0.0365074,
        0.0371402,
        0.0416446,
        0.0410805,
        0.0359433,
        0.0344867,
        0.033166,
        0.0321949,
        0.0312764,
        0.0309536,
        0.0310626,
        0.0311326,
        0.0339624,
        0.0340688,
        0.0314922,
        0.0317442,
        0.0321237,
        0.032445,
        0.0328443,
        0.0327944,
        0.0324924,
        0.031968,
        0.0315022,
        0.031067,
        0.0305677,
        0.0317952,
        0.0310139,
        0.0336458,
        0.0324496,
        0.0285288,
        0.0285805,
        0.0279769,
        0.0281723,
        0.0276952,
        0.0279228,
        0.0271448,
        0.0276126,
        0.0270712,
        0.026653,
        0.0266468,
        0.0266806,
        0.0265342,
        0.026477,
        0.0265468,
        0.0264691,
        0.026305,
        0.0264171,
        0.0263733,
        0.0263921,
        0.0264183,
        0.0263891,
        0.028777,
        0.0289747,
        0.0263124,
        0.0263476,
        0.0264007,
        0.0265677,
        0.0266254,
        0.026928,
        0.0272591,
        0.02841,
        0.0323473,
        0.0307367,
        0.0273796,
        0.0275695,
        0.0275512,
        0.0277055,
        0.0277156,
        0.0280039,
        0.028047,
        0.0307671,
        0.0311651,
        0.0288673,
        0.0290008,
        0.0289799,
        0.02911,
        0.0295776,
        0.0329906,
        0.0325035,
        0.0296204,
        0.0301479,
        0.0301344,
        0.0305997,
        0.0309019,
        0.0314654,
        0.0323418,
        0.0330574,
        0.0337445,
        0.0354504,
        0.0368682,
        0.0371054,
        0.0369842,
        0.0415866,
        0.0421896,
        0.0408559,
        0.041871,
        0.0403077,
        0.0424569,
        0.0450554,
        0.0488261,
        0.0539151,
        0.0611877,
        0.0709361,
        0.0845442,
        0.103638,
        0.1277,
        0.149288,
        0.162069,
        0.158862,
        0.1398,
        0.11848,
        0.0980439,
        0.0802288,
        0.0688952,
        0.0608246,
        0.0551609,
        0.0504929,
        0.0467959,
        0.0446289,
        0.0461387,
        0.0436912,
        0.0397079,
        0.0390709,
        0.0388885,
        0.0389439,
        0.039318,
        0.0396271,
        0.0404817,
        0.0417904,
        0.0432315,
        0.0443294,
        0.0456481,
        0.0483238,
        0.0505103,
        0.0534239,
        0.0581839,
        0.0647605,
        0.0743692,
        0.0887955,
        0.117696,
        0.155572,
        0.20396,
        0.298068,
        0.217882,
        0.142079,
        0.104707,
        0.0816574,
        0.0670728,
        0.0580744,
        0.0523902,
        0.0480507,
        0.0437673,
        0.0403895,
        0.0382582,
        0.0365154,
        0.0350882,
        0.0336812,
        0.0324373,
        0.0315323,
        0.0310148,
        0.0311475,
        0.0325932,
        0.0315392,
        0.0290205,
        0.0281981,
        0.028022,
        0.0279122,
        0.0276219,
        0.0271873,
        0.0279327,
        0.0274152,
        0.027163,
        0.0271047,
        0.0271185,
        0.0271233,
        0.0270901,
        0.0268793,
        0.0264891,
        0.0267165,
        0.0288803,
        0.0281367,
        0.0262317,
        0.0264593,
        0.0265739,
        0.0275369,
        0.0273723,
        0.0262207,
        0.0261598,
        0.0265653,
        0.0267082,
        0.0267754,
        0.026657,
        0.026773,
        0.0268194,
        0.0269883,
        0.0267245,
        0.0268253,
        0.0301491,
        0.0303398,
        0.0273611,
        0.0279297,
        0.028527,
        0.0290467,
        0.029092,
        0.0292115,
        0.028857,
        0.0285647,
        0.0301676,
        0.0292566,
        0.0267304,
        0.0293112,
        0.0288691,
        0.0258961,
        0.0258928,
        0.0256926,
        0.0253098,
        0.025494,
        0.0279157,
        0.0278795,
        0.0253832,
        0.0252939,
        0.025428,
        0.0254288,
        0.0251714,
        0.0249456,
        0.0246722,
        0.0245672,
        0.0249221,
        0.0252861,
        0.0255428,
        0.0254722,
        0.0255595,
        0.0252126,
        0.0254936,
        0.0259524,
        0.0261859,
        0.0261048,
        0.0276297,
        0.0272836,
        0.0265213,
        0.0266939,
        0.0286952,
        0.028773,
        0.0277612,
        0.0271207,
        0.0270576,
        0.0273826,
        0.0271919,
        0.0270349,
        0.0272022,
        0.0272889,
        0.0274591,
        0.0275004,
        0.0274273,
        0.027487,
        0.0278431,
        0.0278095,
        0.027981,
        0.0280672,
        0.0281067,
        0.0341505,
        0.0342038,
        0.0278096,
        0.0276741,
        0.0298495,
        0.0292214,
        0.0271819,
        0.0269287,
        0.0268011,
        0.0267797,
        0.0268226,
        0.0266744,
        0.026778,
        0.0268021,
        0.0269,
        0.0269753,
        0.0273134,
        0.0276674,
        0.0278332,
        0.027438,
        0.027529,
        0.0274374,
        0.0275482,
        0.0276708,
        0.0280748,
        0.0282517,
        0.0286273,
        0.0288011,
        0.0292026,
        0.0295776,
        0.0300275,
        0.0304756,
        0.0311721,
        0.0324604,
        0.0335207,
        0.0344289,
        0.0354664,
        0.0375259,
        0.0385492,
        0.0386525,
        0.0392296,
        0.039288,
        0.0399552,
        0.0405588,
        0.0408691,
        0.0415128,
        0.0422951,
        0.0436027,
        0.0454357,
        0.0478815,
        0.0500977,
        0.0537516,
        0.0591648,
        0.0660639,
        0.0747651,
        0.0858396,
        0.102961,
        0.127268,
        0.166484,
        0.230165,
        0.265474,
        0.187177,
        0.134416,
        0.106265,
        0.0863703,
        0.0753502,
        0.0667167,
        0.0599148,
        0.0531981,
        0.0489828,
        0.0462581,
        0.0447868,
        0.0413114,
        0.0386042,
        0.0368739,
        0.0356147,
        0.0345204,
        0.0334469,
        0.0326408,
        0.0323785,
        0.0316263,
        0.0314636,
        0.0314524,
        0.0307591,
        0.0303537,
        0.0299767,
        0.0296791,
        0.0293332,
        0.0296894,
        0.0295197,
        0.0296447,
        0.0297779,
        0.0295313,
        0.0291834,
        0.0290275,
        0.0291186,
        0.0290241,
        0.0290748,
        0.0286666,
        0.0285441,
        0.0284015,
        0.028654,
        0.0299039,
        0.029913,
        0.0280839,
        0.028247,
        0.0282158,
        0.0282328,
        0.0286054,
        0.0282913,
        0.027998,
        0.0280918,
        0.0283231,
        0.0284707,
        0.0285102,
        0.0281325,
        0.028403,
        0.0288677,
        0.0292438,
        0.0294705,
        0.0297337,
        0.0296953,
        0.0298309,
        0.0298912,
        0.0303274,
        0.0310319,
        0.0320053,
        0.032855,
        0.0337378,
        0.0350488,
        0.0364202,
        0.0372632,
        0.0380056,
        0.0382998,
        0.0376349,
        0.0368586,
        0.0359369,
        0.0351508,
        0.0336446,
        0.032745,
        0.0318275,
        0.0310878,
        0.0306278,
        0.0304276,
        0.0297072,
        0.0293211,
        0.0288502,
        0.0284078,
        0.0282791,
        0.0278749,
        0.0275002,
        0.0271944,
        0.0273449,
        0.0272188,
        0.0272344,
        0.0270797,
        0.027017,
        0.0269327,
        0.0267916,
        0.0280258,
        0.0278651,
        0.0267375,
        0.0269634,
        0.0270473,
        0.0268997,
        0.0269188,
        0.0270732,
        0.0295237,
        0.0329309,
        0.0291265,
        0.0283891,
        0.0280613,
        0.027482,
        0.0280463,
        0.028304,
        0.028738,
        0.0289695,
        0.0291896,
        0.0296287,
        0.0300944,
        0.0301013,
        0.0298194,
        0.0294081,
        0.0287846,
        0.0283182,
        0.0281648,
        0.0286491,
        0.0277305,
        0.0273634,
        0.0294459,
        0.0288172,
        0.026458,
        0.0262544,
        0.0264604,
        0.026224,
        0.0262391,
        0.0285885,
        0.0285776,
        0.0259694,
        0.0259647,
        0.0269435,
        0.0269221,
        0.0261428,
        0.0259131,
        0.0261828,
        0.0261725,
        0.0262656,
        0.0263686,
        0.0265972,
        0.0266523,
        0.0264864,
        0.0266875,
        0.02934,
        0.0280158,
        0.0262011,
        0.026364,
        0.0265347,
        0.0270594,
        0.0279608,
        0.0283461,
        0.0285211,
        0.0291482,
        0.0295835,
        0.0298241,
        0.0316292,
        0.0311602,
        0.028512,
        0.0278808,
        0.0275473,
        0.0272377,
        0.027273,
        0.0273608,
        0.027196,
        0.0269453,
        0.0268706,
        0.0269535,
        0.0268393,
        0.0267481,
        0.0267407,
        0.0269137,
        0.0270895,
        0.0270555,
        0.026957,
        0.0270457,
        0.0270576,
        0.0269165,
        0.0270034,
        0.0271911,
        0.0271126,
        0.0270625,
        0.0268229,
        0.0266858,
        0.0262908,
        0.0263002,
        0.0263209,
        0.0262595,
        0.0260441,
        0.0257953,
        0.025737,
        0.0259244,
        0.0259789,
        0.0259502,
        0.0259532,
        0.0259234,
        0.0280868,
        0.0273522,
        0.0257073,
        0.0256124,
        0.0254543,
        0.025745,
        0.0261707,
        0.0263483,
        0.0261599,
        0.0261473,
        0.0261505,
        0.0263098,
        0.0260865,
        0.0260521,
        0.0263338,
        0.0286169,
        0.0286578,
        0.0267922,
        0.0271942,
        0.0271804,
        0.0269844,
        0.0270032,
        0.0271878,
        0.0272858,
        0.0268747,
        0.0269108,
        0.0271746,
        0.0273491,
        0.0272611,
        0.0274741,
        0.0288448,
        0.0305576,
        0.0288593,
        0.027619,
        0.0281956,
        0.0299988,
        0.0297218,
        0.0292645,
        0.0292769,
        0.0295733,
        0.0298787,
        0.0304311,
        0.030123,
        0.0316805,
        0.0311086,
        0.0288003,
        0.0283587,
        0.0280042,
        0.0278934,
        0.027799,
        0.029028,
        0.0282148,
        0.0272081,
        0.0271366,
        0.0268005,
        0.0269267,
        0.0272712,
        0.0272534,
        0.0270348,
        0.0268469,
        0.0267419,
        0.0264266,
        0.0263333,
        0.0263711,
        0.0264498,
        0.0264904,
        0.0266922,
        0.0291601,
        0.0294156,
        0.0270156,
        0.0270824,
        0.0270261,
        0.0269945,
        0.027139,
        0.0272362,
        0.0271784,
        0.0270665,
        0.0270205,
        0.0268602,
        0.0269097,
        0.0268776,
        0.0268537,
        0.0269887,
        0.0273135,
        0.0273766,
        0.0288277,
        0.0283937,
        0.0278882,
        0.027733,
        0.0275172,
        0.0273408,
        0.0292743,
        0.029544,
        0.0280727,
        0.0279053,
        0.0280027,
        0.0278968,
        0.027801,
        0.0276346,
        0.0276166,
        0.0275999,
        0.0274539,
        0.0273308,
        0.0274477,
        0.0274883,
        0.0275259,
        0.0276692,
        0.0275281,
        0.0274532,
        0.0274492,
        0.0273129,
        0.0270986,
        0.0281072,
        0.0275948,
        0.0273039,
        0.0274481,
        0.0272904,
        0.027315,
        0.0274823,
        0.0273771,
        0.0271624,
        0.0272373,
        0.0275216,
        0.0274853,
        0.0275435,
        0.0275075,
        0.027184,
        0.0271417,
        0.0270677,
        0.0268555,
        0.0267453,
        0.0292624,
        0.0297586,
        0.0273895,
        0.0271859,
        0.0272598,
        0.0278961,
        0.0275876,
        0.0277484,
        0.030765,
        0.0310434,
        0.0304984,
        0.0283195,
        0.0285439,
        0.0287221,
        0.0286498,
        0.0288102,
        0.0288914,
        0.0289001,
        0.0287712,
        0.0288429,
        0.0290675,
        0.0294008,
        0.0294715,
        0.0297329,
        0.0299809,
        0.029934,
        0.0304477,
        0.030851,
        0.0316815,
        0.0321722,
        0.0326191,
        0.0328636,
        0.0334339,
        0.0342386,
        0.0352919,
        0.0363599,
        0.0371897,
        0.0379242,
        0.0383144,
        0.0370565,
        0.0360118,
        0.0350212,
        0.0340785,
        0.032955,
        0.0321669,
        0.0317633,
        0.0309934,
        0.0308874,
        0.0306616,
        0.0300361,
        0.0297104,
        0.0295028,
        0.0291994,
        0.0289064,
        0.0287336,
        0.0286972,
        0.0287399,
        0.0285245,
        0.0284118,
        0.0280503,
        0.0278948,
        0.0276417,
        0.0280223,
        0.0284206,
        0.0280995,
        0.0281145,
        0.0282195,
        0.028023,
        0.0277648,
        0.0278166,
        0.028014,
        0.0279878,
        0.0281313,
        0.0283043,
        0.0285163,
        0.0284189,
        0.0284958,
        0.0287941,
        0.0287926,
        0.030824,
        0.0305414,
        0.029185,
        0.0292076,
        0.029265,
        0.0294161,
        0.0293348,
        0.0301713,
        0.0300405,
        0.0296121,
        0.0296854,
        0.0296558,
        0.0296927,
        0.0303032,
        0.030271,
        0.0299411,
        0.0297827,
        0.0297776,
        0.029832,
        0.0303394,
        0.0330476,
        0.0322765,
        0.0296848,
        0.0293895,
        0.0293215,
        0.0294187,
        0.0294928,
        0.0294083,
        0.0295334,
        0.0295446,
        0.0296059,
        0.0298099,
        0.0294096,
        0.029224,
        0.0295444,
        0.0297528,
        0.0297261,
        0.0300954,
        0.0301348,
        0.0306279,
        0.03113,
        0.0333555,
        0.0339162,
        0.0309512,
        0.0308543,
        0.033286,
        0.0330694,
        0.031513,
        0.0309049,
        0.0310126,
        0.0307982,
        null,
        0.0522947,
        0.0515274,
        0.0517676,
        0.0519964,
        0.0509654,
        0.0504808,
        0.0501652,
        0.0494514,
        0.0492451,
        0.0489164,
        0.0485986,
        0.0487084,
        0.0488717,
        0.0496794,
        0.0500295,
        0.0495366,
        0.0497216,
        0.0500173,
        0.0501876,
        0.0507888,
        0.0534989,
        0.050941,
        0.0508967,
        0.0516684,
        0.052979,
        0.0552957,
        0.0586368,
        0.0620122,
        0.0654504,
        0.0697432,
        0.0721283,
        0.0712825,
        0.0681219,
        0.069698,
        0.0661466,
        0.0599846,
        0.0579217,
        0.0563142,
        0.055577,
        0.0551194,
        0.055214,
        0.0549948,
        0.0550581,
        0.0553234,
        0.0555891,
        0.0563734,
        0.0612818,
        0.062289,
        0.0590049,
        0.0601926,
        0.0621522,
        0.0634981,
        0.065933,
        0.0683343,
        0.0711977,
        0.0762502,
        0.0820781,
        0.0894378,
        0.0992729,
        0.111655,
        0.13203,
        0.161714,
        0.313974,
        0.221265,
        0.164769,
        0.132191,
        0.113889,
        0.1007,
        0.0899057,
        0.082418,
        0.0772391,
        0.0723441,
        0.0683085,
        0.0662738,
        0.0641618,
        0.0629201,
        0.061337,
        0.0602392,
        0.0590188,
        0.0574155,
        0.0559598,
        0.0547618,
        0.0537877,
        0.0522629,
        0.0513092,
        0.0525961,
        0.0495453,
        0.0489249,
        0.0484283,
        0.0477742,
        0.0477582,
        0.0474049,
        0.046694,
        0.0459316,
        0.0451549,
        0.0445691,
        0.0439898,
        0.0430897,
        0.0429044,
        0.0430164,
        0.0427707,
        0.0426649,
        0.0423779,
        0.0418245,
        0.0413374,
        0.0413043,
        0.0421094,
        0.0418122,
        0.0409914,
        0.0408907,
        0.0407794,
        0.0412044,
        0.045946,
        0.045779,
        0.0402464,
        0.0399587,
        0.0403351,
        0.0440674,
        0.0436917,
        0.0400014,
        0.0399724,
        0.0397418,
        0.0397919,
        0.0399496,
        0.0400829,
        0.0402101,
        0.0401204,
        0.0400943,
        0.0403308,
        0.0405683,
        0.0406422,
        0.0403006,
        0.0404738,
        0.0402586,
        0.0404602,
        0.0403457,
        0.0455485,
        0.0454129,
        0.0400082,
        0.0404134,
        0.0404931,
        0.0399844,
        0.0397247,
        0.0399844,
        0.0399592,
        0.0397386,
        0.0394984,
        0.0394578,
        0.0399416,
        0.0400651,
        0.0402189,
        0.040268,
        0.0404992,
        0.0408622,
        0.042135,
        0.0422896,
        0.0410272,
        0.0412786,
        0.0419646,
        0.0423028,
        0.0430978,
        0.0437365,
        0.0445258,
        0.0458296,
        0.0474808,
        0.0492578,
        0.051701,
        0.0554658,
        0.0595408,
        0.0654083,
        0.0737115,
        0.0859643,
        0.101193,
        0.119681,
        0.140167,
        0.154293,
        0.154639,
        0.142068,
        0.125807,
        0.106529,
        0.0903772,
        0.0782261,
        0.0691272,
        0.0628883,
        0.0578172,
        0.0540864,
        0.0517323,
        0.0497753,
        0.0484114,
        0.0465458,
        0.0452836,
        0.0442099,
        0.0432725,
        0.0432045,
        0.0428428,
        0.0418048,
        0.0417203,
        0.0411178,
        0.0438271,
        0.0432361,
        0.0402325,
        0.040096,
        0.0397081,
        0.0395882,
        0.0401752,
        0.0401378,
        0.0400689,
        0.0398194,
        0.0390266,
        0.0384419,
        0.042831,
        0.042463,
        0.0380558,
        0.0377566,
        0.037649,
        0.0376106,
        0.0413474,
        0.0420889,
        0.0380115,
        0.0372762,
        0.037315,
        0.0372109,
        0.0372202,
        0.0375326,
        0.0378281,
        0.0377518,
        0.0378201,
        0.0381657,
        0.0388651,
        0.039302,
        0.0421507,
        0.0404307,
        0.0410153,
        0.0419627,
        0.0433591,
        0.0452234,
        0.0472989,
        0.0488565,
        0.0495699,
        0.0502337,
        0.0502584,
        0.0488511,
        0.0476606,
        0.0467922,
        0.0464936,
        0.0460408,
        0.0453787,
        0.0455469,
        0.04581,
        0.0461568,
        0.0468162,
        0.0478648,
        0.0485241,
        0.0496217,
        0.0513388,
        0.0533879,
        0.0552742,
        0.0574263,
        0.0598902,
        0.0627078,
        0.065801,
        0.0685822,
        0.072498,
        0.0760925,
        0.080735,
        0.0852251,
        0.0919817,
        0.100993,
        0.112964,
        0.128402,
        0.15009,
        0.181451,
        0.225332,
        0.307731,
        0.18144,
        0.147419,
        0.12674,
        0.114857,
        0.0933731,
        0.0810627,
        0.0728717,
        0.0666317,
        0.0628028,
        0.0593544,
        0.0579432,
        0.055263,
        0.0512568,
        0.0498903,
        0.0483955,
        0.0469161,
        0.0459661,
        0.0452355,
        0.0446387,
        0.0437998,
        0.0435444,
        0.0428039,
        0.0420706,
        0.0416043,
        0.0414239,
        0.0406652,
        0.0399785,
        0.0397366,
        0.0396212,
        0.0394569,
        0.0393314,
        0.0389391,
        0.038926,
        0.038919,
        0.0391388,
        0.0390451,
        0.0388243,
        0.0387434,
        0.03908,
        0.0401469,
        0.0408874,
        0.0412263,
        0.0414409,
        0.0422844,
        0.0432655,
        0.0448331,
        0.0464988,
        0.0482922,
        0.050931,
        0.0540549,
        0.057308,
        0.0601537,
        0.0623146,
        0.0628122,
        0.0617182,
        0.0596922,
        0.0564857,
        0.0527411,
        0.0497959,
        0.0473606,
        0.0450041,
        0.043211,
        0.0421801,
        0.0414785,
        0.0410704,
        0.0408315,
        0.0406411,
        0.0400815,
        0.0396476,
        0.0395364,
        0.0402356,
        0.0398275,
        0.0395922,
        0.0396372,
        0.0396018,
        0.039881,
        0.0405116,
        0.0406447,
        0.0408654,
        0.0412601,
        0.0417403,
        0.0423263,
        0.0432827,
        0.0443059,
        0.0450831,
        0.0452797,
        0.0455605,
        0.0463422,
        0.0483045,
        0.0497449,
        0.0504578,
        0.0515658,
        0.0543825,
        0.0576994,
        0.0612683,
        0.0656225,
        0.0706011,
        0.0764052,
        0.102546,
        0.117851,
        0.11903,
        0.144215,
        0.184892,
        0.242986,
        0.180755,
        0.144977,
        0.120054,
        0.103047,
        0.094495,
        0.0838044,
        0.076084,
        0.0696944,
        0.0653656,
        0.0609719,
        0.0602228,
        0.054442,
        0.0520757,
        0.0502517,
        0.0491629,
        0.0481964,
        0.0466241,
        0.0453641,
        0.0449607,
        0.0442693,
        0.0433734,
        0.0425222,
        0.042284,
        0.042015,
        0.0418365,
        0.0416617,
        0.041454,
        0.0414265,
        0.04178,
        0.0418441,
        0.0420925,
        0.042201,
        0.0425847,
        0.0435853,
        0.0443526,
        0.0447947,
        0.0454599,
        0.0465877,
        0.0478691,
        0.0492372,
        0.0508025,
        0.054167,
        0.0579296,
        0.0623113,
        0.0683926,
        0.0761911,
        0.0938161,
        0.111558,
        0.128939,
        0.170159,
        0.236572,
        0.330023,
        0.222051,
        0.159122,
        0.131882,
        0.106994,
        0.0854053,
        0.0739132,
        0.0661323,
        0.0600038,
        0.0547231,
        0.0511634,
        0.0483916,
        0.0464873,
        0.0445332,
        0.0431896,
        0.0415192,
        0.0405383,
        0.0392395,
        0.0382736,
        0.0375055,
        0.0367446,
        0.0358171,
        0.0350507,
        0.0346679,
        0.0343486,
        0.0337532,
        0.0333276,
        0.0328323,
        0.0324425,
        0.0318936,
        0.031277,
        0.0312156,
        0.0312964,
        0.0312976,
        0.030748,
        0.0303913,
        0.0305163,
        0.0301682,
        0.0298944,
        0.0297624,
        0.0296908,
        0.0295366,
        0.0305326,
        0.029995,
        0.0295835,
        0.0300741,
        0.0298674,
        0.0334856,
        0.0344167,
        0.0296671,
        0.0288749,
        0.0287535,
        0.0284966,
        0.0292501,
        0.0311339,
        0.0312048,
        0.0290702,
        0.0292683,
        0.0290685,
        0.028603,
        0.0284414,
        0.0286024,
        0.0288168,
        0.0288373,
        0.0288062,
        0.0289473,
        0.0289642,
        0.0291063,
        0.0291041,
        0.0325099,
        0.0324138,
        0.0289849,
        0.0290202,
        0.0312773,
        0.0315497,
        0.0291591,
        0.0292203,
        0.0290518,
        0.0288899,
        0.0287324,
        0.0285376,
        0.0283295,
        0.0281404,
        0.0280069,
        0.0279687,
        0.0278559,
        0.0277969,
        0.0275855,
        0.0276622,
        0.0274721,
        0.0275944,
        0.0273026,
        0.0273925,
        0.0273398,
        0.0273867,
        0.0272043,
        0.0273789,
        0.0275297,
        0.0277772,
        0.0280553,
        0.0283017,
        0.0281738,
        0.0280345,
        0.0279604,
        0.0279689,
        0.0278841,
        0.0277018,
        0.0280156,
        0.0282615,
        0.0287193,
        0.0292015,
        0.0296346,
        0.0300281,
        0.0302138,
        0.0306087,
        0.0301637,
        0.0333554,
        0.033061,
        0.0327299,
        0.0292871,
        0.0292247,
        0.0292387,
        0.0292711,
        0.0303361,
        0.0310887,
        0.0322707,
        0.0329318,
        0.0337517,
        0.0338834,
        0.0333791,
        0.0327677,
        0.0320122,
        0.0310115,
        0.0300218,
        0.029324,
        0.0286306,
        0.0281285,
        0.0278682,
        0.0275597,
        0.0271049,
        0.0270015,
        0.0283084,
        0.0271149,
        0.0269204,
        0.0266534,
        0.02639,
        0.0265145,
        0.0276451,
        0.0265918,
        0.0264977,
        0.0263211,
        0.0260428,
        0.025851,
        0.0258933,
        0.025767,
        0.0260132,
        0.0259866,
        0.0259904,
        0.0261523,
        0.0262004,
        0.026032,
        0.025957,
        0.0258133,
        0.0258262,
        0.0257079,
        0.0259004,
        0.0266024,
        0.0271253,
        0.0270784,
        0.0265656,
        0.028534,
        0.0280004,
        0.0257429,
        0.0260553,
        0.0260839,
        0.0258644,
        0.026247,
        0.0264441,
        0.0267819,
        0.0267738,
        0.0267155,
        0.0267586,
        0.0270736,
        0.027336,
        0.0276525,
        0.0275321,
        0.0272149,
        0.0267693,
        0.0266783,
        0.026438,
        0.0263028,
        0.0289911,
        0.0290586,
        0.0262818,
        0.0266534,
        0.0261841,
        0.0264575,
        0.026476,
        0.0265112,
        0.0261054,
        0.0260852,
        0.0262683,
        0.0263147,
        0.0262094,
        0.0261926,
        0.0258556,
        0.0257903,
        0.0258355,
        0.0258949,
        0.0258492,
        0.0263214,
        0.0269189,
        0.027657,
        0.0277259,
        0.0276424,
        0.0276688,
        0.0271793,
        0.0271555,
        0.0274878,
        0.0270907,
        0.0264097,
        0.02586,
        0.0258789,
        0.0257097,
        0.0258186,
        0.0273185,
        0.0274026,
        0.0261324,
        0.0259285,
        0.0260974,
        0.0262092,
        0.0260732,
        0.0272499,
        0.0273431,
        0.026446,
        0.0260034,
        0.0257452,
        0.0258883,
        0.0257451,
        0.0254484,
        0.0256462,
        0.025815,
        0.0259089,
        0.025972,
        0.0263427,
        0.026605,
        0.0270043,
        0.0273951,
        0.0281952,
        0.0309176,
        0.0342292,
        0.0303149,
        0.0292756,
        0.0286001,
        0.0277093,
        0.0266939,
        0.0261525,
        0.0259579,
        0.0259522,
        0.0260532,
        0.0261875,
        0.0262508,
        0.0260559,
        0.0258553,
        0.0262385,
        0.0265546,
        0.0269479,
        0.0278184,
        0.0286251,
        0.0299677,
        0.0288288,
        0.0301709,
        0.0296238,
        0.0267255,
        0.0271708,
        0.0271133,
        0.0268884,
        0.0267709,
        0.0270621,
        0.0266042,
        0.0269204,
        0.027641,
        0.0283269,
        0.028642,
        0.0285999,
        0.0282629,
        0.0275834,
        0.0268729,
        0.0264663,
        0.0265513,
        0.0264382,
        0.0265747,
        0.026902,
        0.0267054,
        0.0267398,
        0.0265259,
        0.0278593,
        0.0281449,
        0.0273691,
        0.0273173,
        0.0268613,
        0.0266606,
        0.0268625,
        0.0272624,
        0.0276611,
        0.0277373,
        0.02735,
        0.0268455,
        0.0261935,
        0.0258315,
        0.0257816,
        0.0255198,
        0.0255511,
        0.0253894,
        0.0257003,
        0.0259952,
        0.026435,
        0.0266515,
        0.0265955,
        0.0261494,
        0.0255577,
        0.025514,
        0.0256042,
        0.0259157,
        0.0267556,
        0.0280898,
        0.029503,
        0.0300133,
        0.0292341,
        0.0282107,
        0.0272826,
        0.0265112,
        0.0284118,
        0.0288245,
        0.0293314,
        0.0292977,
        0.0286572,
        0.0279642,
        0.0274178,
        0.0276173,
        0.0280957,
        0.0284564,
        0.0286666,
        0.0282775,
        0.0281602,
        0.0279055,
        0.0280261,
        0.0281441,
        0.0282129,
        0.0279195,
        0.0274809,
        0.0269594,
        0.026944,
        0.0273184,
        0.0282981,
        0.0288358,
        0.0286948,
        0.0280191,
        0.0274586,
        0.027176,
        0.0272635,
        0.0276615,
        0.0281969,
        0.0287237,
        0.0298703,
        0.0290923,
        0.0284748,
        0.0287172,
        0.0285023,
        0.0281293,
        0.0280414,
        0.0278695,
        0.0276986,
        0.027683,
        0.0275956,
        0.0280308,
        0.0290941,
        0.0304093,
        0.0317142,
        0.0322105,
        0.0316142,
        0.0306134,
        0.0298131,
        0.0292164,
        0.0297394,
        0.0310283,
        0.0324828,
        0.0325973,
        0.0324847,
        0.0313925,
        0.0302923,
        0.0300063,
        0.030118,
        0.0304421,
        0.0311036,
        0.0322141,
        0.0331161,
        0.0342547,
        0.0353711,
        0.0364004,
        0.0390975,
        0.0402658,
        0.0407577,
        0.0435667,
        0.0507456,
        0.0547887,
        0.0596114,
        0.066923,
        0.0742335,
        0.0827086,
        0.0940824,
        0.108326,
        0.125095,
        0.147012,
        0.182967,
        0.237769,
        0.269382,
        0.18841,
        0.145126,
        0.114525,
        0.0939573,
        0.0789079,
        0.0698522,
        0.062624,
        0.0580435,
        0.0556004,
        0.0540026,
        0.0525626,
        0.0522137,
        0.050928,
        0.0486419,
        0.0445083,
        0.0422746,
        0.0419977,
        0.0407152,
        0.0390637,
        0.0373545,
        0.0346243,
        0.0350076,
        0.0338202,
        0.0322245,
        0.0322811,
        0.0332969,
        0.0328233,
        0.0328386,
        0.0334687,
        0.033936,
        0.0329005,
        0.0311109,
        0.0298718,
        0.0286886,
        0.0277096,
        0.0272415,
        0.0271819,
        0.027341,
        0.0279357,
        0.0285822,
        0.0291757,
        0.0292408,
        0.0292571,
        0.0290219,
        0.0288571,
        0.0286757,
        0.0288803,
        0.0288484,
        0.0289175,
        0.0289136,
        0.0287043,
        0.0304235,
        0.0327392,
        0.0331858,
        0.0312275,
        0.0311227,
        0.0309123,
        0.0307152,
        0.0315395,
        0.0334417,
        0.0359032,
        0.0380835,
        0.0383116,
        0.0375912,
        0.0370545,
        0.0374751,
        0.0382279,
        0.0389777,
        0.0406972,
        0.0406463,
        0.0389095,
        0.0384348,
        0.0383178,
        0.0371915,
        0.0355773,
        0.0346741,
        0.0331192,
        0.030779,
        0.0288571,
        0.0272222,
        0.026189,
        0.0260492,
        0.026289,
        0.026849,
        0.0274234,
        0.0283901,
        0.0293713,
        0.029515,
        0.0288636,
        0.0275347,
        0.0263922,
        0.0259907,
        0.0261833,
        0.0280317,
        0.0276804,
        0.0262646,
        0.0264281,
        0.0267318,
        0.0274566,
        0.0286643,
        0.0292346,
        0.0286876,
        0.0275848,
        0.0270855,
        0.026908,
        0.0276754,
        0.0290766,
        0.029848,
        0.0289286,
        0.0282586,
        0.0280613,
        0.0292736,
        0.0303729,
        0.0313029,
        0.0323506,
        0.0331009,
        0.0328623,
        0.0313413,
        0.0292928,
        0.0275696,
        0.026286,
        0.0255345,
        0.0248425,
        0.0246296,
        0.0244655,
        0.0242244,
        0.0245091,
        0.0253826,
        0.026164,
        0.0258726,
        0.0252405,
        0.0244647,
        0.0237786,
        0.0233989,
        0.0234804,
        0.0236496,
        0.024183,
        0.0245735,
        0.0250153,
        0.0281132,
        0.0295303,
        0.0279405,
        0.0282428,
        0.0281065,
        0.0285977,
        0.0291087,
        0.0287958,
        0.0283609,
        0.02875,
        0.0303574,
        0.0333394,
        0.0379847,
        0.0422691,
        0.0426759,
        0.0391339,
        0.036267,
        0.0364981,
        0.0379887,
        0.0412525,
        0.038944,
        0.0335935,
        0.03233,
        0.0315982,
        0.0323186,
        0.0344543,
        0.037321,
        0.038944,
        0.0370624,
        0.0337646,
        0.030619,
        0.0283039,
        0.0270741,
        0.0267862,
        0.0287741,
        0.0272633,
        0.0258371,
        0.0260343,
        0.0263616,
        0.0267606,
        0.0274831,
        0.0285394,
        0.0299142,
        0.0318846,
        0.0344522,
        0.0360956,
        0.0356192,
        0.0345315,
        0.0339279,
        0.035222,
        0.0363464,
        0.0370307,
        0.0366888,
        0.0346807,
        0.0335835,
        0.0327256,
        0.0324929,
        0.0336338,
        0.0356035,
        0.0386169,
        0.0428621,
        0.048623,
        0.0570374,
        0.0705601,
        0.0890411,
        0.116459,
        0.142984,
        0.153499,
        0.158473,
        0.173438,
        0.182183,
        0.18843,
        0.206708,
        0.234613,
        0.254611,
        0.227302,
        0.20302,
        0.183312,
        0.163287,
        0.151181,
        0.145878,
        0.141908,
        0.134272,
        0.125999,
        0.125211,
        0.131355,
        0.141517,
        0.147268,
        0.145072,
        0.146524,
        0.134728,
        0.12921,
        0.128803,
        0.118156,
        0.104469,
        0.0952143,
        0.0901777,
        0.0881173,
        0.0860748,
        0.0851219,
        0.0859578,
        0.0876529,
        0.0908347,
        0.0915052,
        0.0869628,
        0.0794523,
        0.0720458,
        0.0668614,
        0.0652665,
        0.0676664,
        0.0804547,
        0.0887928,
        0.0920248,
        0.092667,
        0.0877202,
        0.0784277,
        0.0707687,
        0.0647083,
        0.0601584,
        0.0558057,
        0.0510278,
        0.0479216,
        0.0465632,
        0.0462454,
        0.0465133,
        0.047466,
        0.0494713,
        0.0522457,
        0.0570681,
        0.06204,
        0.0667125,
        0.0681125,
        0.0655109,
        0.0625623,
        0.0618873,
        0.0621264,
        0.0656804,
        0.0701389,
        0.0735732,
        0.0695608,
        0.0607935,
        0.0530496,
        0.0485669,
        0.0466067,
        0.0462497,
        0.0451836,
        0.0431683,
        0.0409873,
        0.0393682,
        0.0386721,
        0.0389557,
        0.0390042,
        0.0389561,
        0.0420106,
        0.0427714,
        0.0399796,
        0.0392033,
        0.037739,
        0.0375339,
        0.0388677,
        0.041335,
        0.0429705,
        0.0419797,
        0.039756,
        0.0364704,
        0.0357022,
        0.0361379,
        0.039283,
        0.0430678,
        0.0448423,
        0.0442357,
        0.0417321,
        0.0390616,
        0.0358261,
        0.0334418,
        0.034646,
        0.035163,
        0.0371477,
        0.0395211,
        0.0402592,
        0.0408994,
        0.0425493,
        0.0417839,
        0.0383165,
        0.035871,
        0.0337501,
        0.0331599,
        0.03504,
        0.0372867,
        0.038921,
        0.0407317,
        0.0399498,
        0.0371236,
        0.0348484,
        0.0336424,
        0.032749,
        0.0328738,
        0.0335232,
        0.0324855,
        0.0335315,
        0.0321641,
        0.0336247,
        0.0345189,
        0.0346268,
        0.0402515,
        0.0476221,
        0.0542462,
        0.0579904,
        0.0555427,
        0.048641,
        0.0442713,
        0.0432411,
        0.0467026,
        0.053111,
        0.0566891,
        0.0522558,
        0.0453229,
        0.0389083,
        0.0343647,
        0.0318113,
        0.0307859,
        0.0300881,
        0.0301484,
        0.0312081,
        0.0337222,
        0.0376425,
        0.0418477,
        0.0424327,
        0.0397226,
        0.0361863,
        0.034001,
        0.0338068,
        0.0347404,
        0.0345277,
        0.0340315,
        0.0353464,
        0.0338737,
        0.0316974,
        0.0316089,
        0.0325228,
        0.0340616,
        0.036566,
        0.0399681,
        0.0433307,
        0.0429275,
        0.0393689,
        0.0355199,
        0.0318071,
        0.0298343,
        0.0290586,
        0.0291869,
        0.0292198,
        0.0298067,
        0.0301784,
        0.0308867,
        0.0319526,
        0.0340988,
        0.0397167,
        0.0493957,
        0.0550758,
        0.0531048,
        0.0471179,
        0.0408745,
        0.0368267,
        0.0344149,
        0.0333335,
        0.033428,
        0.0339399,
        0.034775,
        0.0356305,
        0.0367247,
        0.0395088,
        0.0444079,
        0.0492956,
        0.0515758,
        0.0517502,
        0.0531638,
        0.0595991,
        0.0695272,
        0.0787359,
        0.0807763,
        0.0777955,
        0.0827618,
        0.0849036,
        0.0864714,
        0.105848,
        0.13415,
        0.160403,
        0.178756,
        0.199745,
        0.242124,
        0.316691,
        0.212256,
        0.161438,
        0.12886,
        0.110334,
        0.101852,
        0.103245,
        0.105791,
        0.0980962,
        0.0835048,
        0.0704735,
        0.0599985,
        0.0538431,
        0.0506711,
        0.0511157,
        0.0585101,
        0.0637029,
        0.0606666,
        0.0645314,
        0.0643493,
        0.0633102,
        0.0635145,
        0.0654941,
        0.0650752,
        0.0598224,
        0.0542034,
        0.0509712,
        0.0516729,
        0.0555476,
        0.0571276,
        0.0532509,
        0.0467075,
        0.0409194,
        0.0369312,
        0.0345655,
        0.0330081,
        0.0322139,
        0.0315226,
        0.0312207,
        0.0313477,
        0.0317017,
        0.033532,
        0.0317056,
        0.0298463,
        0.0295765,
        0.0291235,
        0.0293611,
        0.0313448,
        0.0313931,
        0.0296862,
        0.0302501,
        0.0313672,
        0.0348016,
        0.040401,
        0.0451256,
        0.0448648,
        0.0462541,
        0.0471524,
        0.0470479,
        0.0479652,
        0.0440716,
        0.0390564,
        0.0353372,
        0.032341,
        0.0305724,
        0.0316746,
        0.0334705,
        0.0330888,
        0.0384158,
        0.0495614,
        0.0654392,
        0.0804766,
        0.0886715,
        0.0872717,
        0.0763027,
        0.0626001,
        0.0567456,
        0.0588635,
        0.0625009,
        0.0651323,
        0.0722768,
        0.0675123,
        0.0571728,
        0.0469233,
        0.039535,
        0.0346385,
        0.031865,
        0.030597,
        0.0305903,
        0.0301783,
        0.029517,
        0.0291035,
        0.0290415,
        0.0309132,
        0.0307028,
        0.028664,
        0.0287138,
        0.0286808,
        0.0285194,
        0.0304247,
        0.0294171,
        0.028051,
        0.0280413,
        0.0277066,
        0.027513,
        0.0277445,
        0.0286343,
        0.0304046,
        0.0341108,
        0.0390417,
        0.0479982,
        0.0465229,
        0.0380697,
        0.0342248,
        0.0309702,
        0.0292189,
        0.0289819,
        0.0316345,
        0.0329805,
        0.0322658,
        0.0338012,
        0.0349282,
        0.0375587,
        0.0446107,
        0.0574883,
        0.0707398,
        0.0782352,
        0.0788305,
        0.0702456,
        0.0556516,
        0.0436577,
        0.0366545,
        0.032397,
        0.0301276,
        0.0287751,
        0.0280547,
        0.0274971,
        0.0276715,
        0.0280745,
        0.0281696,
        0.0280094,
        0.0276066,
        0.0270663,
        0.0267657,
        0.0265342,
        0.027019,
        0.0270376,
        0.0271166,
        0.02763,
        0.0273709,
        0.0275085,
        0.0292959,
        0.0297226,
        0.0282975,
        0.0284254,
        0.0292036,
        0.03017,
        0.0329042,
        0.0389375,
        0.049768,
        0.0640603,
        0.0762664,
        0.0703568,
        0.0547366,
        0.0460718,
        0.0415573,
        0.0431384,
        0.0485862,
        0.055091,
        0.0591302,
        0.0548623,
        0.0476129,
        0.0418541,
        0.0379016,
        0.0358499,
        0.035225,
        0.0371091,
        0.0426177,
        0.0539055,
        0.0708012,
        0.0813453,
        0.0767871,
        0.0695268,
        0.0666529,
        0.0661668,
        0.0595399,
        0.0507731,
        0.0457881,
        0.0446054,
        0.0482017,
        0.050771,
        0.049445,
        0.0446686,
        0.039962,
        0.0373272,
        0.0384635,
        0.0431535,
        0.050013,
        0.0571664,
        0.0542614,
        0.044699,
        0.0409747,
        0.0393142,
        0.0389875,
        0.0388856,
        0.0385161,
        0.0376094,
        0.0362195,
        0.0353018,
        0.0340524,
        0.0328349,
        0.0313695,
        0.0307659,
        0.030173,
        0.0296522,
        0.0293232,
        0.0308345,
        0.0316025,
        0.030854,
        0.0306181,
        0.030521,
        0.0295348,
        0.0304211,
        0.0319032,
        0.0327272,
        0.0331911,
        0.0323087,
        0.0306822,
        0.0302388,
        0.0299806,
        0.0303948,
        0.0322259,
        0.0361868,
        0.0423269,
        0.0488578,
        0.0529005,
        0.0558137,
        0.0540032,
        0.0479101,
        0.0430538,
        0.0390304,
        0.0353671,
        0.034204,
        0.0362377,
        0.041793,
        0.048582,
        0.0510369,
        0.050496,
        0.0459019,
        0.0437833,
        0.0477929,
        0.0585698,
        0.0761709,
        0.0865143,
        0.0780439,
        0.0613051,
        0.0484312,
        0.0409905,
        0.0387569,
        0.0358182,
        0.0319976,
        0.0311032,
        0.0303519,
        0.0303004,
        0.0304386,
        0.0302302,
        0.0299161,
        0.0304873,
        0.0309086,
        0.0314084,
        0.0318277,
        0.0325198,
        0.0335678,
        0.0355699,
        0.0402337,
        0.0490194,
        0.0633638,
        0.0803756,
        0.085877,
        0.0767576,
        0.0643718,
        0.0550152,
        0.0486066,
        0.0454923,
        0.04602,
        0.0500218,
        0.0580217,
        0.0699852,
        0.078988,
        0.0886805,
        0.106863,
        0.141763,
        0.140431,
        0.112758,
        0.100453,
        0.0911303,
        0.0791707,
        0.0721533,
        0.0612443,
        0.0528151,
        0.0508404,
        0.0511403,
        0.0529273,
        0.0556547,
        0.0587087,
        0.0619559,
        0.0716261,
        0.0823346,
        0.0994533,
        0.122794,
        0.141276,
        0.157218,
        0.197655,
        0.231751,
        0.26246,
        0.247372,
        0.202037,
        0.156996,
        0.12393,
        0.103257,
        0.0908608,
        0.0809424,
        0.0713721,
        0.0630356,
        0.0577975,
        0.0541912,
        0.0515161,
        0.0508921,
        0.04771,
        0.0456122,
        0.0440674,
        0.0440668,
        0.0452707,
        0.0461904,
        0.0455114,
        0.0432525,
        0.0408181,
        0.0388275,
        0.0382428,
        0.0381401,
        0.0384998,
        0.0392296,
        0.0418579,
        0.0470575,
        0.0555254,
        0.0681164,
        0.0832234,
        0.0977286,
        0.0961472,
        0.0822034,
        0.0715072,
        0.0673337,
        0.0649609,
        0.0591612,
        0.0515027,
        0.045611,
        0.0417132,
        0.0393962,
        0.0388837,
        0.0385919,
        0.0384769,
        0.0379085,
        0.038197,
        0.0398645,
        0.0445648,
        0.0516794,
        0.0570964,
        0.0561099,
        0.0519401,
        0.0464353,
        0.0428632,
        0.0414595,
        0.0422067,
        0.04418,
        0.0466436,
        0.0486546,
        0.0510412,
        0.053987,
        0.0585562,
        0.0648713,
        0.0738499,
        0.0855084,
        0.102831,
        0.122251,
        0.144577,
        0.170956,
        0.187037,
        0.178344,
        0.160962,
        0.16249,
        0.17269,
        0.182637,
        0.195472,
        0.20489,
        0.189227,
        0.16104,
        0.14769,
        0.142788,
        0.139775,
        0.137159,
        0.124748,
        0.10229,
        0.0860537,
        0.0775736,
        0.0723755,
        0.0710568,
        0.0712195,
        0.0698744,
        0.0623638,
        0.0547837,
        0.0493383,
        0.0462216,
        0.0461442,
        0.0495427,
        0.0557473,
        0.060582,
        0.0604854,
        0.0543172,
        0.0490573,
        0.0459863,
        0.0442409,
        0.0435178,
        0.0432031,
        0.0424867,
        0.0418369,
        0.0416726,
        0.0427712,
        0.0441961,
        0.0460059,
        0.0502885,
        0.0578288,
        0.0692706,
        0.0792204,
        0.0809015,
        0.0762535,
        0.0704584,
        0.0678305,
        0.0682846,
        0.0711768,
        0.0776945,
        0.0863287,
        0.0948718,
        0.113397,
        0.131297,
        0.152273,
        0.195328,
        0.265738,
        0.278724,
        0.213356,
        0.190057,
        0.169314,
        0.148965,
        0.136529,
        0.129571,
        0.119818,
        0.103493,
        0.0866447,
        0.0751625,
        0.0649889,
        0.0589671,
        0.0584466,
        0.0581713,
        0.060716,
        0.0668202,
        0.0687438,
        0.0643445,
        0.0579021,
        0.0549116,
        0.0508698,
        0.046066,
        0.044105,
        0.0422551,
        0.0410858,
        0.0403963,
        0.0388793,
        0.0386319,
        0.0386909,
        0.0394032,
        0.0410708,
        0.0445576,
        0.0516064,
        0.063525,
        0.0765528,
        0.0901424,
        0.100566,
        0.0961144,
        0.0775024,
        0.0611236,
        0.0499077,
        0.0429146,
        0.0391982,
        0.037248,
        0.0365903,
        0.036206,
        0.0360683,
        0.0388603,
        0.0392839,
        0.0409081,
        0.0412362,
        0.0385145,
        0.0405263,
        0.0435928,
        0.0463554,
        0.0470072,
        0.0462299,
        0.0457335,
        0.0468836,
        0.0507799,
        0.0615957,
        0.0809418,
        0.107527,
        0.122837,
        0.124722,
        0.133023,
        0.151761,
        0.173583,
        0.190123,
        0.193253,
        0.167638,
        0.125137,
        0.0871912,
        0.0659792,
        0.0538118,
        0.0463093,
        0.0425265,
        0.0409263,
        0.0410312,
        0.0418789,
        0.0456569,
        0.0527196,
        0.0632884,
        0.0631542,
        0.0551173,
        0.0498725,
        0.046629,
        0.0452015,
        0.0447496,
        0.0439694,
        0.0435098,
        0.0429492,
        0.0424192,
        0.0422516,
        0.0421957,
        0.0423703,
        0.0426399,
        0.0429709,
        0.0436957,
        0.0452744,
        0.049311,
        0.0582968,
        0.073209,
        0.0878184,
        0.0938043,
        0.0920456,
        0.084651,
        0.0752195,
        0.0666571,
        0.0611845,
        0.0567401,
        0.0553623,
        0.056648,
        0.0624985,
        0.0726087,
        0.0783585,
        0.0745875,
        0.0652422,
        0.0595096,
        0.0562271,
        0.0538477,
        0.0508231,
        0.0478295,
        0.0457799,
        0.0446339,
        0.0462558,
        0.053111,
        0.0642383,
        0.074103,
        0.0745799,
        0.0713078,
        0.0704623,
        0.0687768,
        0.063958,
        0.0601867,
        0.0577289,
        0.0586682,
        0.0639663,
        0.0714185,
        0.0725113,
        0.067416,
        0.0610268,
        0.0543843,
        0.0496727,
        0.046101,
        0.0435142,
        0.0403095,
        0.0433657,
        0.0443046,
        0.0504837,
        0.0629385,
        0.0681769,
        0.0666607,
        0.0669567,
        0.0722059,
        0.0805029,
        0.0821329,
        0.0750717,
        0.0616474,
        0.048262,
        0.0416628,
        0.0385946,
        0.0367305,
        0.035808,
        null,
        0.0773846,
        0.0770133,
        0.0725775,
        0.0772668,
        0.0793136,
        0.0787445,
        0.0790031,
        0.0860102,
        0.102144,
        0.13221,
        0.155527,
        0.146711,
        0.114258,
        0.0885391,
        0.0753054,
        0.0706628,
        0.0734745,
        0.0803257,
        0.0857628,
        0.0823985,
        0.0740824,
        0.0657713,
        0.0607895,
        0.0604765,
        0.0646552,
        0.0736868,
        0.0890704,
        0.102445,
        0.102138,
        0.0926374,
        0.0810227,
        0.0750573,
        0.0775853,
        0.0873423,
        0.0985326,
        0.103489,
        0.0981462,
        0.0884025,
        0.0805927,
        0.0795293,
        0.0850496,
        0.0919217,
        0.0929162,
        0.0851264,
        0.0747858,
        0.0658003,
        0.0621569,
        0.0636979,
        0.0680753,
        0.0737791,
        0.0764966,
        0.0737124,
        0.0674851,
        0.0609243,
        0.0569931,
        0.0554761,
        0.0573296,
        0.0621245,
        0.0669206,
        0.0712802,
        0.0747808,
        0.0788667,
        0.0879841,
        0.10027,
        0.108574,
        0.109587,
        0.104056,
        0.0955285,
        0.0869654,
        0.0794941,
        0.0743706,
        0.0748104,
        0.0813475,
        0.0954116,
        0.0985242,
        0.0888821,
        0.0794749,
        0.0720471,
        0.0678844,
        0.0646629,
        0.0670875,
        0.0741762,
        0.0850065,
        0.102926,
        0.102806,
        0.0870195,
        0.0793887,
        0.0736747,
        0.0714275,
        0.0715344,
        0.0741507,
        0.0764885,
        0.0796345,
        0.0866248,
        0.0969621,
        0.107741,
        0.121443,
        0.139032,
        0.156812,
        0.179137,
        0.211199,
        0.252731,
        0.205246,
        0.186981,
        0.173253,
        0.165782,
        0.165347,
        0.165965,
        0.155527,
        0.133787,
        0.114419,
        0.101706,
        0.0977997,
        0.0955655,
        0.0907495,
        0.0822399,
        0.0735059,
        0.070577,
        0.0655419,
        0.0612194,
        0.0618254,
        0.0646065,
        0.0720159,
        0.0843644,
        0.099305,
        0.108342,
        0.106251,
        0.0992165,
        0.0962726,
        0.106097,
        0.132319,
        0.165131,
        0.171274,
        0.141892,
        0.109185,
        0.0873137,
        0.0754328,
        0.0682779,
        0.0626142,
        0.0586507,
        0.0533523,
        0.050565,
        0.0508603,
        0.0494268,
        0.0490428,
        0.0497001,
        0.0506336,
        0.0513307,
        0.0547259,
        0.052986,
        0.0481088,
        0.047167,
        0.0470309,
        0.0473411,
        0.0499117,
        0.0551051,
        0.0642646,
        0.0777731,
        0.0955593,
        0.117053,
        0.125311,
        0.11242,
        0.0930544,
        0.0747404,
        0.0636717,
        0.0557661,
        0.0501076,
        0.0508876,
        0.0552715,
        0.0644972,
        0.0796945,
        0.0962163,
        0.100991,
        0.0897508,
        0.0760107,
        0.0654752,
        0.0583929,
        0.0552307,
        0.0551051,
        0.0579366,
        0.0619983,
        0.0632769,
        0.0605587,
        0.0568765,
        0.0529717,
        0.0510768,
        0.0506251,
        0.0507333,
        0.0518799,
        0.0519945,
        0.0519424,
        0.0542008,
        0.0601697,
        0.0698365,
        0.0790689,
        0.0816077,
        0.0772626,
        0.0737031,
        0.0708619,
        0.0682217,
        0.0635205,
        0.0569184,
        0.0500815,
        0.0447522,
        0.0412929,
        0.0396456,
        0.0386092,
        0.0383075,
        0.0382489,
        0.0381909,
        0.0383249,
        0.0382953,
        0.03844,
        0.0388942,
        0.0398829,
        0.0417587,
        0.0428502,
        0.0432567,
        0.0429573,
        0.0429081,
        0.0435849,
        0.0449777,
        0.0457291,
        0.0459467,
        0.0459757,
        0.0478195,
        0.0532205,
        0.0664116,
        0.0679991,
        0.0694143,
        0.0656218,
        0.0585674,
        0.0519573,
        0.0475824,
        0.0444428,
        0.0435801,
        0.0449429,
        0.0481581,
        0.0522877,
        0.058935,
        0.0542693,
        0.0496226,
        0.0470933,
        0.0474917,
        0.051456,
        0.0596176,
        0.0719113,
        0.0863959,
        0.094994,
        0.0948409,
        0.0846334,
        0.0708997,
        0.0608642,
        0.0546676,
        0.0521343,
        0.0523117,
        0.0551175,
        0.0607066,
        0.0679893,
        0.0769221,
        0.089044,
        0.102622,
        0.121843,
        0.163694,
        0.199451,
        0.196245,
        0.170729,
        0.14356,
        0.121864,
        0.0983822,
        0.0782311,
        0.065402,
        0.0583899,
        0.0545116,
        0.0526103,
        0.0552113,
        0.052344,
        0.057949,
        0.0683082,
        0.0793681,
        0.0722223,
        0.0581036,
        0.0493602,
        0.0444412,
        0.0420622,
        0.0404408,
        0.0394269,
        0.0384388,
        0.0377717,
        0.0374964,
        0.0372437,
        0.0374295,
        0.0380776,
        0.0391701,
        0.0409239,
        0.0433141,
        0.0476624,
        0.055631,
        0.068831,
        0.0834398,
        0.0866263,
        0.0780537,
        0.0656895,
        0.0569043,
        0.0536468,
        0.0557612,
        0.0653239,
        0.0841256,
        0.111077,
        0.131793,
        0.121283,
        0.0952971,
        0.0714706,
        0.0565493,
        0.0480422,
        0.044174,
        0.0422558,
        0.0426127,
        0.0458781,
        0.0507049,
        0.0539123,
        0.0530314,
        0.0497749,
        0.0461212,
        0.0449189,
        0.0449287,
        0.0456589,
        0.0464778,
        0.0456324,
        0.0434105,
        0.0408342,
        0.0384831,
        0.0373203,
        0.036937,
        0.0363762,
        0.0372532,
        0.0390935,
        0.0433094,
        0.0523199,
        0.0668079,
        0.0815204,
        0.0846272,
        0.0752032,
        0.0617486,
        0.0531296,
        0.0490986,
        0.048148,
        0.0474563,
        0.0460304,
        0.043911,
        0.0415781,
        0.0406097,
        0.0409399,
        0.0427884,
        0.045406,
        0.046757,
        0.0466907,
        0.0453215,
        0.0431766,
        0.041095,
        0.0398249,
        0.0386945,
        0.0375948,
        0.0369154,
        0.0361435,
        0.0355143,
        0.0351425,
        0.0352088,
        0.0356306,
        0.0370801,
        0.0404883,
        0.0498301,
        0.0682492,
        0.0710987,
        0.061903,
        0.0560572,
        0.0499538,
        0.0462039,
        0.0458262,
        0.0468866,
        0.046153,
        0.0439267,
        0.0415103,
        0.0430647,
        0.0404561,
        0.0402415,
        0.0400602,
        0.0395927,
        0.0392112,
        0.0394732,
        0.0416487,
        0.0475952,
        0.0594547,
        0.0750183,
        0.082517,
        0.0760686,
        0.0624741,
        0.0501291,
        0.0434015,
        0.0411198,
        0.0414986,
        0.0437817,
        0.0489204,
        0.0580488,
        0.0670112,
        0.0672443,
        0.0602436,
        0.0521681,
        0.0462295,
        0.0437589,
        0.0446094,
        0.0478429,
        0.0523067,
        0.0569877,
        0.0661819,
        0.0756871,
        0.0883996,
        0.0811821,
        0.06376,
        0.0553215,
        0.0507632,
        0.0515505,
        0.0587374,
        0.0594547,
        0.0573665,
        0.0648833,
        0.0723208,
        0.0806697,
        0.0864901,
        0.0866153,
        0.0801956,
        0.0728768,
        0.0662749,
        0.0633531,
        0.0656188,
        0.0727396,
        0.0807836,
        0.0860812,
        0.0773786,
        0.0657454,
        0.0584496,
        0.0558947,
        0.058013,
        0.0605832,
        0.062072,
        0.0637973,
        0.0673822,
        0.0719121,
        0.083614,
        0.0941053,
        0.0899909,
        0.0853386,
        0.0878199,
        0.0933581,
        0.10526,
        0.115807,
        0.110932,
        0.0918193,
        0.0744971,
        0.0612378,
        0.0533926,
        0.0487837,
        0.0456495,
        0.0454006,
        0.0480694,
        0.055369,
        0.0679803,
        0.0799789,
        0.0788162,
        0.0683333,
        0.0572982,
        0.049997,
        0.046236,
        0.0439418,
        0.0426284,
        0.0411549,
        0.0404355,
        0.0402075,
        0.0402775,
        0.0400718,
        0.0399001,
        0.0394464,
        0.0392779,
        0.0392977,
        0.0398878,
        0.0400262,
        0.0403497,
        0.0414941,
        0.0441708,
        0.0475072,
        0.0535486,
        0.063543,
        0.0844646,
        0.0966256,
        0.0933216,
        0.0790665,
        0.0656071,
        0.0575044,
        0.0534262,
        0.0524482,
        0.0534021,
        0.0556448,
        0.0576972,
        0.060919,
        0.0660095,
        0.0797495,
        0.0878277,
        0.0938575,
        0.1047,
        0.120912,
        0.149577,
        0.190106,
        0.24881,
        0.364682,
        0.33058,
        0.253587,
        0.184601,
        0.139858,
        0.11471,
        0.0972122,
        0.085458,
        0.0775054,
        0.0707692,
        0.0648533,
        0.0611925,
        0.0580644,
        0.0566227,
        0.0560562,
        0.0569709,
        0.0599207,
        0.0645768,
        0.0660942,
        0.0647192,
        0.0620644,
        0.0620643,
        0.0683688,
        0.0775448,
        0.0842145,
        0.0890239,
        0.0945413,
        0.0945611,
        0.084607,
        0.0729238,
        0.0642521,
        0.0579561,
        0.0541445,
        0.0531977,
        0.0534922,
        0.0548567,
        0.05586,
        0.057038,
        0.0593396,
        0.0628181,
        0.0666891,
        0.0739603,
        0.0867404,
        0.103736,
        0.12409,
        0.14808,
        0.17465,
        0.19549,
        0.215638,
        0.238794,
        0.269738,
        0.401192,
        0.304298,
        0.243435,
        0.215149,
        0.205061,
        0.190202,
        0.162545,
        0.134122,
        0.122746,
        0.116155,
        0.104192,
        0.0904607,
        0.0790074,
        0.0720223,
        0.0712707,
        0.0773096,
        0.0845737,
        0.0811107,
        0.0716646,
        0.063074,
        0.0568027,
        0.0541209,
        0.0529521,
        0.0532309,
        0.0545646,
        0.0564422,
        0.0571199,
        0.0580035,
        0.055995,
        0.0551031,
        0.056235,
        0.0613757,
        0.0688135,
        0.0730461,
        0.0689914,
        0.0638733,
        0.0595074,
        0.0568747,
        0.056002,
        0.0562533,
        0.0567727,
        0.0585122,
        0.068732,
        0.0733922,
        0.0712937,
        0.0792135,
        0.0909335,
        0.106737,
        0.133873,
        0.180193,
        0.257786,
        0.245781,
        0.197131,
        0.155141,
        0.119934,
        0.0941573,
        0.0783052,
        0.0668858,
        0.0639359,
        0.0599153,
        0.053779,
        0.051051,
        0.049175,
        0.0506329,
        0.0495984,
        0.0436781,
        0.0428911,
        0.0404195,
        0.0378303,
        0.0359132,
        0.0342231,
        0.0341589,
        0.0338498,
        0.0335737,
        0.0329292,
        0.0328147,
        0.0326839,
        0.0344058,
        0.0340049,
        0.0318011,
        0.0315208,
        0.0317984,
        0.0321107,
        0.0322428,
        0.0330131,
        0.035549,
        0.0385825,
        0.0406807,
        0.0401108,
        0.038698,
        0.0368473,
        0.0357067,
        0.035663,
        0.0366677,
        0.0384643,
        0.0408069,
        0.0436579,
        0.0468471,
        0.0501184,
        0.0518647,
        0.0507572,
        0.0486959,
        0.0440442,
        0.0413129,
        0.0394912,
        0.0382487,
        0.0397166,
        0.038826,
        0.0394264,
        0.0447547,
        0.0522661,
        0.0592166,
        0.0640146,
        0.0636574,
        0.0564854,
        0.0486633,
        0.0422436,
        0.037697,
        0.0346057,
        0.0324013,
        0.0313109,
        0.0305678,
        0.0299473,
        0.0291616,
        0.028813,
        0.028654,
        0.0286397,
        0.0283785,
        0.0279704,
        0.0284785,
        0.0279438,
        0.0275486,
        0.0274035,
        0.0276984,
        0.0282225,
        0.0296033,
        0.0324422,
        0.0375222,
        0.038069,
        0.034373,
        0.0327543,
        0.0315445,
        0.0310052,
        0.0321357,
        0.0316027,
        0.029378,
        0.0293265,
        0.0306175,
        0.0300278,
        0.02964,
        0.029488,
        0.0296444,
        0.0308681,
        0.031788,
        0.0322275,
        0.034424,
        0.0354431,
        0.0364423,
        0.0433197,
        0.0459067,
        0.0439034,
        0.0473359,
        0.0520135,
        0.0594012,
        0.0677712,
        0.074585,
        0.0764197,
        0.0735028,
        0.0663329,
        0.0586978,
        0.0515359,
        0.0469838,
        0.0441225,
        0.0435396,
        0.046369,
        0.0505104,
        0.0517962,
        0.0498111,
        0.0507679,
        0.05128,
        0.0497331,
        0.0450746,
        0.0396763,
        0.0351991,
        0.0319224,
        0.0299369,
        0.0296302,
        0.029077,
        0.0285026,
        0.0288296,
        0.0287962,
        0.0289283,
        0.0287642,
        0.0283957,
        0.0281323,
        0.0282649,
        0.0289076,
        0.0307891,
        0.0332732,
        0.0348447,
        0.0344955,
        0.0329377,
        0.0311001,
        0.0295708,
        0.0284992,
        0.0288561,
        0.031038,
        0.0314187,
        0.0291185,
        0.0282254,
        0.0276972,
        0.0278662,
        0.0277605,
        0.0280349,
        0.0279068,
        0.0280237,
        0.0281348,
        0.028198,
        0.0280271,
        0.0278862,
        0.0277248,
        0.0278596,
        0.0282044,
        0.0286883,
        0.0292373,
        0.0296817,
        0.0291811,
        0.0287304,
        0.0280738,
        0.0278798,
        0.0276783,
        0.0276339,
        0.0276834,
        0.0280333,
        0.0296377,
        0.0295926,
        0.0274424,
        0.0272631,
        0.0273289,
        0.0275724,
        0.0275125,
        0.0282569,
        0.0287932,
        0.028938,
        0.028742,
        0.0284244,
        0.0278371,
        0.0276884,
        0.0277145,
        0.0275795,
        0.0276209,
        0.0275301,
        0.0273551,
        0.0271564,
        0.0273603,
        0.0273563,
        0.0272114,
        0.0272883,
        0.0270147,
        0.0269836,
        0.028037,
        0.0275914,
        0.0268046,
        0.0268939,
        0.0270688,
        0.0271884,
        0.0276994,
        0.0281093,
        0.0285802,
        0.0292759,
        0.0300359,
        0.031598,
        0.0337136,
        0.0376735,
        0.0401113,
        0.041615,
        0.0435437,
        0.0454817,
        0.0463617,
        0.0456552,
        0.0431759,
        0.0433575,
        0.0380488,
        0.0340701,
        0.0317696,
        0.0302739,
        0.0294949,
        0.029073,
        0.0287804,
        0.0285384,
        0.0282519,
        0.0276496,
        0.0271232,
        0.0298468,
        0.0301962,
        0.0274344,
        0.0264883,
        0.0267051,
        0.0268017,
        0.0266331,
        0.0266786,
        0.0264217,
        0.0264112,
        0.0263807,
        0.0262479,
        0.0265166,
        0.0263816,
        0.026112,
        0.0261999,
        0.0261988,
        0.0261752,
        0.0263927,
        0.0268857,
        0.0270047,
        0.0269569,
        0.0271834,
        0.0272773,
        0.0275376,
        0.0280053,
        0.0287217,
        0.0293907,
        0.0299238,
        0.0304639,
        0.0310327,
        0.0312976,
        0.0316443,
        0.032063,
        0.03259,
        0.0332922,
        0.0342606,
        0.0354348,
        0.0368591,
        0.0389783,
        0.0417468,
        0.0493207,
        0.0523041,
        0.0554638,
        0.063733,
        0.0735008,
        0.080519,
        0.0817681,
        0.0791386,
        0.0737048,
        0.0682402,
        0.0630347,
        0.0586866,
        0.0561184,
        0.0548519,
        0.0547283,
        0.0552781,
        0.0569577,
        0.0593137,
        0.0673922,
        0.0760793,
        0.0760279,
        0.084927,
        0.0971699,
        0.118033,
        0.151524,
        0.195014,
        0.266591,
        0.386377,
        0.226849,
        0.169551,
        0.129357,
        0.102224,
        0.0858048,
        0.0740586,
        0.0659267,
        0.0601824,
        0.0550251,
        0.0507557,
        0.0475896,
        0.0452314,
        0.0431982,
        0.0410462,
        0.0400371,
        0.0406721,
        0.0391568,
        0.0393859,
        0.0379621,
        0.0346098,
        0.0345978,
        0.0344933,
        0.0344288,
        0.0338724,
        0.032573,
        0.0313611,
        0.0308968,
        0.0307146,
        0.030329,
        0.0297977,
        0.029488,
        0.0293292,
        0.029811,
        0.0301624,
        0.0306275,
        0.0309679,
        0.0304917,
        0.0295121,
        0.0287485,
        0.0279378,
        0.0273316,
        0.0289216,
        0.0277735,
        0.0261772,
        0.0260417,
        0.0260488,
        0.0259204,
        0.0257648,
        0.0268192,
        0.0262223,
        0.0254142,
        0.0258728,
        0.0261614,
        0.0271496,
        0.0269755,
        0.0259602,
        0.026594,
        0.0278443,
        0.0305368,
        0.0302482,
        0.0279851,
        0.0275264,
        0.0271095,
        0.0266894,
        0.0261437,
        0.0256731,
        0.0258539,
        0.0256996,
        0.0257956,
        0.0258792,
        0.0262707,
        0.0267813,
        0.0273338,
        0.0281179,
        0.029425,
        0.0314894,
        0.033313,
        0.0406441,
        0.0466944,
        0.0475095,
        0.0507001,
        0.0502746,
        0.0476483,
        0.0466839,
        0.040803,
        0.0363083,
        0.0327742,
        0.0305856,
        0.0296267,
        0.0289359,
        0.0284258,
        0.0281101,
        0.0279154,
        0.0277048,
        0.0275186,
        0.0270915,
        0.027021,
        0.027018,
        0.0274242,
        0.0284123,
        0.030008,
        0.0332581,
        0.0385637,
        0.0439145,
        0.0467964,
        0.0473712,
        0.0482885,
        0.0480577,
        0.0453358,
        0.0406406,
        0.036333,
        0.0334424,
        0.0336956,
        0.0339067,
        0.0351998,
        0.0392695,
        0.0413429,
        0.0407036,
        0.0394895,
        0.0395721,
        0.039277,
        0.0380771,
        0.035876,
        0.0336979,
        0.032064,
        0.0311858,
        0.0337034,
        0.0343364,
        0.0320397,
        0.0332113,
        0.0357699,
        0.0412112,
        0.0503916,
        0.06069,
        0.0661413,
        0.0673663,
        0.0674796,
        0.0713022,
        0.0825915,
        0.100613,
        0.114973,
        0.113603,
        0.0984211,
        0.0808741,
        0.067849,
        0.0604782,
        0.0581786,
        0.0596595,
        0.0614556,
        0.0585771,
        0.0513577,
        0.0439024,
        0.0383402,
        0.0354744,
        0.0345794,
        0.035441,
        0.0387282,
        0.0444282,
        0.0474843,
        0.0449112,
        0.0393084,
        0.034775,
        0.0320909,
        0.0304576,
        0.0297996,
        0.0295586,
        0.029577,
        0.0308908,
        0.0340024,
        0.0377736,
        0.040413,
        0.0415775,
        0.0438628,
        0.0473932,
        0.0527116,
        0.0559126,
        0.0513422,
        0.0440675,
        0.0383093,
        0.03449,
        0.0333461,
        0.035823,
        0.0417671,
        0.052196,
        0.0550191,
        0.0476523,
        0.0411685,
        0.0361415,
        0.0352857,
        0.0334475,
        0.0301445,
        0.0319519,
        0.0362258,
        0.0417839,
        0.0428537,
        0.0415056,
        0.0398949,
        0.0386401,
        0.036815,
        0.0348166,
        0.0326362,
        0.0312078,
        0.0308894,
        0.0329289,
        0.0366032,
        0.0396487,
        0.0394237,
        0.0370199,
        0.0340878,
        0.0314272,
        0.0301923,
        0.0295131,
        0.0291879,
        0.0296907,
        0.0316847,
        0.0335993,
        0.0369356,
        0.0413913,
        0.0424764,
        0.041262,
        0.0381084,
        0.034898,
        0.0332798,
        0.0331486,
        0.0334105,
        0.0330259,
        0.0351055,
        0.0387827,
        0.0456488,
        0.0536477,
        0.0576415,
        0.0581484,
        0.056647,
        0.0531899,
        0.0519902,
        0.0450599,
        0.0407598,
        0.042305,
        0.0471462,
        0.0510552,
        0.0500058,
        0.0450343,
        0.0388766,
        0.0345657,
        0.0322859,
        0.0311663,
        0.0310143,
        0.0323744,
        0.0378355,
        0.0448289,
        0.0518096,
        0.0536108,
        0.0529368,
        0.0474294,
        0.0410174,
        0.0397962,
        0.0393028,
        0.039507,
        0.0413373,
        0.0429062,
        0.0446166,
        0.0495304,
        0.056544,
        0.0640409,
        0.0658768,
        0.0612235,
        0.0549777,
        0.0527738,
        0.0537811,
        0.0562995,
        0.058314,
        0.0550288,
        0.0478176,
        0.0415924,
        0.036659,
        0.0341196,
        0.0341106,
        0.0368796,
        0.0413729,
        0.0450806,
        0.0470678,
        0.0475324,
        0.0490585,
        0.0442251,
        0.036184,
        0.0341548,
        0.0338213,
        0.0353964,
        0.0374333,
        0.0378161,
        0.0366412,
        0.0362259,
        0.0371566,
        0.0415293,
        0.0509594,
        0.0618839,
        0.0635007,
        0.0557839,
        0.0460631,
        0.0389552,
        0.034591,
        0.0330062,
        0.0327999,
        0.0345885,
        0.038502,
        0.0451722,
        0.0526016,
        0.0565409,
        0.0558237,
        0.0539484,
        0.0512362,
        0.0509768,
        0.0551608,
        0.0595043,
        0.0603075,
        0.0593958,
        0.0602685,
        0.0647555,
        0.0809223,
        0.0929485,
        0.0948799,
        0.0860723,
        0.0731791,
        0.0609552,
        0.0518894,
        0.0466751,
        0.043532,
        0.0410754,
        0.0389246,
        0.037479,
        0.0369757,
        0.0388599,
        0.044657,
        0.0540208,
        0.0612967,
        0.059348,
        0.0494333,
        0.0410942,
        0.0355803,
        0.0322138,
        0.0337233,
        0.0327771,
        0.0294117,
        0.0293415,
        0.0288964,
        0.0288358,
        0.0288705,
        0.0291178,
        0.0305649,
        0.0333359,
        0.0383484,
        0.0418818,
        0.0417519,
        0.0418044,
        0.0434809,
        0.0446214,
        0.0447954,
        0.0444234,
        0.0421322,
        0.0399814,
        0.036354,
        0.0337153,
        0.0335973,
        0.0342486,
        0.0352752,
        0.0372466,
        0.041927,
        0.0494409,
        0.0563915,
        0.0566845,
        0.0519433,
        0.0466839,
        0.0468875,
        0.0503657,
        0.0509399,
        0.0471349,
        0.0431906,
        0.0413626,
        0.0404059,
        0.0389154,
        0.0366945,
        0.0348336,
        0.0350177,
        0.0352239,
        0.0390059,
        0.0469716,
        0.0566218,
        0.0635144,
        0.0638321,
        0.0599972,
        0.055201,
        0.0516208,
        0.0473692,
        0.0484149,
        0.0443145,
        0.0372459,
        0.0356565,
        0.0357634,
        0.0377783,
        0.0430171,
        0.0489449,
        0.0531745,
        0.0545523,
        0.050713,
        0.0450028,
        0.0404084,
        0.0372471,
        0.0357683,
        0.0369163,
        0.0395986,
        0.0422295,
        0.0435865,
        0.0434451,
        0.0420106,
        0.0424214,
        0.0449091,
        0.0504035,
        0.049394,
        0.0456379,
        0.0417628,
        0.0387623,
        0.0368879,
        0.0360949,
        0.0357369,
        0.0360853,
        0.0360397,
        0.0371933,
        0.0381779,
        0.0403837,
        0.0438585,
        0.0476898,
        0.0523932,
        0.0598945,
        0.0694967,
        0.0746638,
        0.0726568,
        0.0680345,
        0.0637269,
        0.0614011,
        0.0613456,
        0.0625428,
        0.0669245,
        0.0738339,
        0.083744,
        0.0981913,
        0.116443,
        0.132469,
        0.146907,
        0.159842,
        0.174971,
        0.195656,
        0.21895,
        0.243137,
        0.268176,
        0.320845,
        0.274476,
        0.227904,
        0.190513,
        0.158397,
        0.127956,
        0.105264,
        0.0890735,
        0.0798403,
        0.0755014,
        0.0760935,
        0.077553,
        0.0765327,
        0.0734985,
        0.0749119,
        0.0846746,
        0.101842,
        0.121503,
        0.126458,
        0.130826,
        0.122691,
        0.111534,
        0.115626,
        0.117424,
        0.113547,
        0.106617,
        0.0998768,
        0.0932607,
        0.0861826,
        0.0769413,
        0.0692312,
        0.0655628,
        0.0641316,
        0.0641746,
        0.0614517,
        0.056402,
        0.0521131,
        0.0492388,
        0.0485421,
        0.0481229,
        0.0464273,
        0.0437247,
        0.0412228,
        0.0400664,
        0.0408867,
        0.0453714,
        0.0550647,
        0.0673951,
        0.075118,
        0.0766351,
        0.0781577,
        0.0691331,
        0.0578513,
        0.0528833,
        0.0504126,
        0.0477783,
        0.0441719,
        0.0403058,
        0.0377576,
        0.035872,
        0.0343996,
        0.0377017,
        0.0360752,
        0.0336947,
        0.0366486,
        0.0389454,
        0.0412541,
        0.0435961,
        0.0475937,
        0.0505927,
        0.0492799,
        0.0471272,
        0.0462612,
        0.0442665,
        0.0416256,
        0.0383085,
        0.0361513,
        0.0349421,
        0.0355681,
        0.0419889,
        0.0444463,
        0.0423665,
        0.0400393,
        0.037212,
        0.0359824,
        0.0353628,
        0.036202,
        0.0363227,
        0.0392201,
        0.0472627,
        0.0474731,
        0.0440816,
        0.044226,
        0.0462006,
        0.052887,
        0.0660674,
        0.0811128,
        0.084886,
        0.0795808,
        0.0749735,
        0.0722102,
        0.0685278,
        0.0647412,
        0.0629465,
        0.0628256,
        0.0629517,
        0.0660108,
        0.0700921,
        0.0762436,
        0.0961191,
        0.114677,
        0.127448,
        0.154268,
        0.180135,
        0.214487,
        0.247802,
        0.226693,
        0.19124,
        0.158241,
        0.136535,
        0.118918,
        0.10943,
        0.104613,
        0.102986,
        0.10325,
        0.0957546,
        0.0854954,
        0.0759438,
        0.0677233,
        0.0605157,
        0.0561473,
        0.0556346,
        0.0566469,
        0.0564415,
        0.0544366,
        0.0517498,
        0.0489443,
        0.0448077,
        0.0420811,
        0.0400347,
        0.0386219,
        0.037929,
        0.0385777,
        0.0389994,
        0.0381782,
        0.0384475,
        0.039079,
        0.0407192,
        0.0450126,
        0.0534839,
        0.0644312,
        0.0696898,
        0.0668979,
        0.0613156,
        0.0576597,
        0.057648,
        0.0603138,
        0.0694651,
        0.0740296,
        0.0686127,
        0.0629872,
        0.0557052,
        0.0494428,
        0.0450917,
        0.0430616,
        0.0419145,
        0.0423033,
        0.0450807,
        0.0458181,
        0.0432308,
        0.0430801,
        0.0434987,
        0.0445945,
        0.0461345,
        0.0483182,
        0.0528242,
        0.055398,
        0.0591365,
        0.0640458,
        0.069481,
        0.0737239,
        0.0763503,
        0.075729,
        0.074488,
        0.0741694,
        0.0769289,
        0.0808951,
        0.0799655,
        0.0736705,
        0.0658023,
        0.0596016,
        0.0555566,
        0.0524749,
        0.0515118,
        0.0516031,
        0.0505532,
        0.0472021,
        0.0446776,
        0.045144,
        0.0441768,
        0.0426076,
        0.0436228,
        0.0468491,
        0.0512501,
        0.0567071,
        0.063674,
        0.072312,
        0.0866089,
        0.104702,
        0.12151,
        0.131765,
        0.11745,
        0.0993344,
        0.0811073,
        0.0628986,
        0.0552551,
        0.0490705,
        0.0449169,
        0.041295,
        0.0380167,
        0.0367749,
        0.0358006,
        0.0351076,
        0.0355938,
        0.0366457,
        0.0385196,
        0.0397578,
        0.0399008,
        0.039743,
        0.0405798,
        0.0439021,
        0.0510072,
        0.0642375,
        0.0844925,
        0.100251,
        0.108656,
        0.0984782,
        0.0814937,
        0.0652105,
        0.0523685,
        0.0453006,
        0.0413092,
        0.0383964,
        0.0373897,
        0.0378362,
        0.0382011,
        0.0385159,
        0.0372381,
        0.0358839,
        0.0342354,
        0.03318,
        0.0326987,
        0.0329385,
        0.033315,
        0.0340273,
        0.0358037,
        0.0372761,
        0.0428096,
        0.0469038,
        0.0504587,
        0.0524631,
        0.0538434,
        0.0553212,
        0.0504753,
        0.0457001,
        0.0430909,
        0.0397031,
        0.0366105,
        0.0336376,
        0.0320143,
        0.0315544,
        0.0317418,
        0.0312078,
        0.0305765,
        0.0302271,
        0.0299564,
        0.0304197,
        0.031675,
        0.0367675,
        0.0405198,
        0.0383308,
        0.0394343,
        0.0389031,
        0.0372753,
        0.0349762,
        0.0429705,
        0.041385,
        0.0321269,
        0.032611,
        0.0331124,
        0.0337642,
        0.0343538,
        0.0365756,
        0.0409722,
        0.0466963,
        0.0521192,
        0.0540069,
        0.0513225,
        0.046158,
        0.0433474,
        0.0407327,
        0.0379014,
        0.0368098,
        0.0373228,
        0.0396031,
        0.0446163,
        0.0530204,
        0.0590881,
        0.0575037,
        0.0509951,
        0.044679,
        0.040242,
        0.0384257,
        0.0380986,
        0.0380864,
        0.0374859,
        0.036721,
        0.03616,
        0.0354786,
        0.0348367,
        0.0337233,
        0.0330069,
        0.0366797,
        0.036232,
        0.03623,
        0.0397492,
        0.0462973,
        0.0467152,
        0.0403705,
        0.0376016,
        0.0352048,
        0.033978,
        0.0337973,
        0.0340166,
        0.0348201,
        0.0356549,
        0.0366341,
        0.0382918,
        0.0401739,
        0.04337,
        0.0485239,
        0.058752,
        0.0755268,
        0.0924823,
        0.0969357,
        0.0863026,
        0.0746773,
        0.0620429,
        0.0564158,
        0.0548369,
        0.0494092,
        0.043585,
        0.0397901,
        0.0383451,
        0.0368596,
        0.0359244,
        0.0351168,
        0.0345078,
        0.0347253,
        0.0359749,
        0.0378011,
        0.039945,
        0.0397875,
        0.0390971,
        0.0381144,
        0.0376717,
        0.0382104,
        0.0413637,
        0.0487528,
        0.0600559,
        0.0692787,
        0.0695188,
        0.0617158,
        0.051529,
        0.0436245,
        0.0384926,
        0.0358102,
        0.034703,
        0.034764,
        0.035696,
        0.0368665,
        0.0377513,
        0.03765,
        0.0373128,
        0.0367848,
        0.0369766,
        0.0409822,
        0.0425495,
        0.0419118,
        0.0438833,
        0.0471568,
        0.0508326,
        0.0548643,
        0.0591411,
        0.0666781,
        0.0660805,
        0.065578,
        0.0677259,
        0.0706315,
        0.0648277,
        0.0531822,
        0.0478679,
        0.0440468,
        0.0417056,
        0.0407454,
        0.0420666,
        0.0461497,
        0.0512525,
        0.0528181,
        0.0496514,
        0.0454059,
        0.0412416,
        0.0385278,
        0.0371393,
        0.0366703,
        0.0363754,
        0.0356814,
        0.0351741,
        0.0362273,
        0.0370608,
        0.0374089,
        0.0376498,
        0.0382857,
        0.0383803,
        0.0384364,
        0.0418429,
        0.0452526,
        0.0507767,
        0.0593677,
        0.070693,
        0.0784683,
        0.0743646,
        0.0625021,
        0.0526547,
        0.0517412,
        0.0495118,
        0.0462229,
        0.0464654,
        0.0456673,
        0.049061,
        0.0455321,
        0.0411521,
        0.0409374,
        0.0418391,
        0.0432474,
        0.0436383,
        0.0440752,
        0.043768,
        0.0430658,
        0.0424513,
        0.0424477,
        0.0425743,
        0.0441322,
        0.0468453,
        0.0557957,
        0.0613204,
        0.0661955,
        0.070147,
        0.0723598,
        0.0826203,
        0.098874,
        0.125219,
        0.14585,
        0.137689,
        0.113523,
        0.0950641,
        0.0846631,
        0.0827508,
        0.0860333,
        0.092947,
        0.104552,
        0.11887,
        0.136371,
        0.160784,
        0.192025,
        0.245804,
        0.312997,
        0.230343,
        0.166029,
        0.138948,
        0.118015,
        0.102674,
        0.0913935,
        0.0804966,
        0.0721828,
        0.0655682,
        0.0611943,
        0.0581639,
        0.0560542,
        0.0535426,
        0.0512398,
        0.0494405,
        0.0480985,
        0.0471723,
        0.0465258,
        0.0462922,
        0.0466044,
        0.0475975,
        0.0495349,
        0.0522224,
        null,
        0.0715861,
        0.0826261,
        0.0868635,
        0.0895033,
        0.0846593,
        0.0763892,
        0.0717857,
        0.0706277,
        0.0706121,
        0.0705614,
        0.069021,
        0.0667744,
        0.0641351,
        0.0612964,
        0.0587415,
        0.0564215,
        0.054444,
        0.0532311,
        0.0518126,
        0.0516407,
        0.053045,
        0.055881,
        0.0604919,
        0.0668999,
        0.071236,
        0.0725387,
        0.0698985,
        0.0669726,
        0.0633612,
        0.0601902,
        0.0605786,
        0.06341,
        0.070233,
        0.0796204,
        0.088518,
        0.0910288,
        0.0902157,
        0.0934349,
        0.102167,
        0.109794,
        0.107004,
        0.0974481,
        0.0880139,
        0.0833863,
        0.0821626,
        0.0812148,
        0.0786473,
        0.0752857,
        0.0712923,
        0.0673931,
        0.0625774,
        0.0594478,
        0.0571914,
        0.0554433,
        0.0545602,
        0.054547,
        0.0541232,
        0.0531116,
        0.0521197,
        0.0513576,
        0.0511645,
        0.0507348,
        0.0508686,
        0.0518563,
        0.0533418,
        0.0549234,
        0.0547822,
        0.0545202,
        0.0550121,
        0.0564949,
        0.0581484,
        0.0605072,
        0.0651186,
        0.0736493,
        0.0868119,
        0.102252,
        0.113668,
        0.127518,
        0.140531,
        0.150766,
        0.152473,
        0.143527,
        0.134951,
        0.131965,
        0.137182,
        0.148709,
        0.167906,
        0.196144,
        0.331382,
        0.245599,
        0.19247,
        0.165272,
        0.152181,
        0.1527,
        0.156686,
        0.148891,
        0.12769,
        0.106184,
        0.0946434,
        0.0759807,
        0.0683949,
        0.0645126,
        0.0621897,
        0.0599683,
        0.0587076,
        0.0586323,
        0.0575551,
        0.0559479,
        0.056491,
        0.0567042,
        0.0567743,
        0.0568019,
        0.0578381,
        0.0610024,
        0.0657128,
        0.0677988,
        0.0664676,
        0.0631197,
        0.0577376,
        0.054247,
        0.0528092,
        0.0525193,
        0.0533497,
        0.0559677,
        0.0610879,
        0.0688577,
        0.0774539,
        0.0799771,
        0.0750446,
        0.0672861,
        0.0597831,
        0.0554612,
        0.0538793,
        0.0530717,
        0.0527849,
        0.0524099,
        0.0525443,
        0.052825,
        0.0544037,
        0.0568361,
        0.0622537,
        0.0723891,
        0.0842442,
        0.0882181,
        0.0837394,
        0.0734663,
        0.0624571,
        0.0551278,
        0.051307,
        0.0494274,
        0.0480406,
        0.0473213,
        0.0468583,
        0.0463222,
        0.0459667,
        0.0456951,
        0.0459112,
        0.0491066,
        0.0539699,
        0.0470969,
        0.0474798,
        0.0489731,
        0.0502019,
        0.0524198,
        0.0557943,
        0.0608701,
        0.0680405,
        0.0758195,
        0.0792381,
        0.0762071,
        0.0690379,
        0.0614013,
        0.0563215,
        0.0551437,
        0.0565046,
        0.0583589,
        0.0587465,
        0.0579959,
        0.055612,
        0.0537869,
        0.0533287,
        0.0546709,
        0.058953,
        0.0674058,
        0.0838854,
        0.108185,
        0.134152,
        0.142953,
        0.129451,
        0.105916,
        0.0865152,
        0.0732465,
        0.0660871,
        0.0636929,
        0.0641994,
        0.0663447,
        0.0709079,
        0.0743563,
        0.079454,
        0.0861783,
        0.0959264,
        0.103507,
        0.102375,
        0.0956188,
        0.0849135,
        0.0743772,
        0.0670148,
        0.0640056,
        0.0638855,
        0.0650047,
        0.0654978,
        0.0675789,
        0.0704332,
        0.073452,
        0.078373,
        0.0857662,
        0.101948,
        0.126142,
        0.161027,
        0.210015,
        0.249703,
        0.183931,
        0.136146,
        0.10772,
        0.0910433,
        0.0809816,
        0.0757885,
        0.0729397,
        0.0713301,
        0.0696328,
        0.0666342,
        0.0633277,
        0.0601061,
        0.0577997,
        0.0573536,
        0.0573416,
        0.0565795,
        0.0552215,
        0.0537474,
        0.0529363,
        0.0502465,
        0.0486212,
        0.0473404,
        0.0456556,
        0.0444624,
        0.0429957,
        0.0421912,
        0.0445245,
        0.0435482,
        0.0420348,
        0.0418545,
        0.0422304,
        0.0477549,
        0.0450823,
        0.0431639,
        0.045416,
        0.0496675,
        0.0568191,
        0.0644031,
        0.0680409,
        0.0682215,
        0.0695184,
        0.076038,
        0.0902613,
        0.102463,
        0.0968042,
        0.0795913,
        0.0649493,
        0.0554936,
        0.0496275,
        0.0469535,
        0.0459962,
        0.0453981,
        0.044285,
        0.0466659,
        0.0484315,
        0.0444554,
        0.04178,
        0.0412632,
        0.0405848,
        0.0399812,
        0.0391789,
        0.0390009,
        0.039336,
        0.0397265,
        0.039343,
        0.0391548,
        0.0395644,
        0.0402851,
        0.042617,
        0.0463915,
        0.0552865,
        0.0645917,
        0.069035,
        0.0655718,
        0.0577228,
        0.0496632,
        0.0511776,
        0.0472539,
        0.0402643,
        0.0389955,
        0.0387486,
        0.0384638,
        0.0378231,
        0.0378096,
        0.0381109,
        0.0392777,
        0.0425639,
        0.0478124,
        0.0524453,
        0.0536031,
        0.0516715,
        0.048215,
        0.0450128,
        0.0436368,
        0.0433777,
        0.0439646,
        0.0447683,
        0.0457443,
        0.0467341,
        0.0509433,
        0.0514523,
        0.0495291,
        0.0534687,
        0.0608966,
        0.0667978,
        0.066888,
        0.0611632,
        0.0540712,
        0.0492471,
        0.0481017,
        0.0492047,
        0.0496909,
        0.0496978,
        0.0499046,
        0.0525402,
        0.0614374,
        0.0740433,
        0.0796251,
        0.074742,
        0.0650673,
        0.0565586,
        0.05193,
        0.050869,
        0.0516503,
        0.053248,
        0.0537355,
        0.0528181,
        0.0508532,
        0.0482861,
        0.0461457,
        0.0446439,
        0.0433365,
        0.0418223,
        0.0407851,
        0.0405411,
        0.0408022,
        0.0408442,
        0.0414973,
        0.0418117,
        0.0417754,
        0.0417579,
        0.0423472,
        0.0437232,
        0.0471141,
        0.060926,
        0.0839931,
        0.0800382,
        0.0771922,
        0.0764034,
        0.0698762,
        0.0612796,
        0.055262,
        0.0511629,
        0.0497969,
        0.0500173,
        0.0508309,
        0.0520448,
        0.0538044,
        0.0567098,
        0.0600455,
        0.0696981,
        0.0764367,
        0.0793971,
        0.0895374,
        0.102872,
        0.124302,
        0.159493,
        0.222124,
        0.246212,
        0.18817,
        0.152253,
        0.134795,
        0.129108,
        0.132101,
        0.13767,
        0.131041,
        0.112935,
        0.0923052,
        0.0757196,
        0.064358,
        0.0578221,
        0.0559726,
        0.051741,
        0.0495391,
        0.0494866,
        0.0512776,
        0.0564824,
        0.0605328,
        0.0588195,
        0.0544906,
        0.0497923,
        0.0458097,
        0.0450545,
        0.0438631,
        0.0420173,
        0.0412275,
        0.040706,
        0.0397779,
        0.0399087,
        0.0401696,
        0.0412969,
        0.0436387,
        0.0479409,
        0.0563411,
        0.0724327,
        0.0893197,
        0.0941805,
        0.0820252,
        0.0657702,
        0.0530856,
        0.045383,
        0.041291,
        0.0391184,
        0.0378207,
        0.0371684,
        0.0370995,
        0.0367573,
        0.0367165,
        0.0373813,
        0.0372042,
        0.0363879,
        0.0368499,
        0.0356497,
        0.0357177,
        0.0361076,
        0.0359371,
        0.0354594,
        0.0344909,
        0.0338267,
        0.0333502,
        0.0329109,
        0.0330261,
        0.0333751,
        0.0332807,
        0.0334084,
        0.0336412,
        0.0345392,
        0.0355364,
        0.0361823,
        0.0358591,
        0.0355607,
        0.0352485,
        0.0354919,
        0.0363878,
        0.0385998,
        0.0425181,
        0.0500676,
        0.058098,
        0.0605967,
        0.0576306,
        0.0509501,
        0.0448948,
        0.043613,
        0.0464976,
        0.0552816,
        0.0669138,
        0.07246,
        0.0678608,
        0.058835,
        0.0507676,
        0.0450288,
        0.0411667,
        0.0383588,
        0.0372405,
        0.0369435,
        0.0355062,
        0.0347151,
        0.0342927,
        0.0338195,
        0.0341726,
        0.0376123,
        0.0376308,
        0.0338477,
        0.0348024,
        0.034852,
        0.0352335,
        0.0360011,
        0.0371051,
        0.0386499,
        0.0412079,
        0.0438294,
        0.0463724,
        0.0486308,
        0.0497821,
        0.0527882,
        0.0587081,
        0.0678662,
        0.0723622,
        0.0661432,
        0.0551453,
        0.0464865,
        0.0406276,
        0.0380399,
        0.0361801,
        0.0354777,
        0.0353183,
        0.036574,
        0.0402592,
        0.0458666,
        0.0488504,
        0.0475361,
        0.0428416,
        0.0385425,
        0.035665,
        0.0339189,
        0.0328412,
        0.0325821,
        0.0322124,
        0.0317061,
        0.031605,
        0.0323798,
        0.0337251,
        0.0364803,
        0.0390916,
        0.0403873,
        0.0411639,
        0.0422578,
        0.0438934,
        0.0499659,
        0.0566983,
        0.0574268,
        0.0522344,
        0.0465641,
        0.0424297,
        0.0455755,
        0.0495185,
        0.0525321,
        0.0628676,
        0.0652624,
        0.0588599,
        0.0494515,
        0.0425259,
        0.0380431,
        0.0355593,
        0.0343342,
        0.0334499,
        0.0333389,
        0.033837,
        0.0340447,
        0.0345693,
        0.0355678,
        0.0361014,
        0.0368654,
        0.0377186,
        0.0385302,
        0.0391665,
        0.0391517,
        0.0384234,
        0.0369255,
        0.0364399,
        0.0390151,
        0.0388146,
        0.0360656,
        0.0365387,
        0.0368573,
        0.0381096,
        0.0404724,
        0.0451366,
        0.0516037,
        0.0591424,
        0.0666481,
        0.0716778,
        0.0680939,
        0.0594721,
        0.0520561,
        0.0464015,
        0.0427919,
        0.0409623,
        0.0417465,
        0.0410058,
        0.0385067,
        0.038495,
        0.038429,
        0.0383016,
        0.0377877,
        0.0374198,
        0.0373893,
        0.037844,
        0.0397917,
        0.0383678,
        0.0357587,
        0.0351922,
        0.0351806,
        0.0356908,
        0.0368285,
        0.04024,
        0.0480354,
        0.0601472,
        0.0687463,
        0.0674633,
        0.0610605,
        0.0543638,
        0.0495775,
        0.0470053,
        0.0457529,
        0.0466096,
        0.0487857,
        0.0524527,
        0.0596746,
        0.0711485,
        0.0791171,
        0.0750719,
        0.067139,
        0.0601998,
        0.0588844,
        0.0645805,
        0.0739392,
        0.0745876,
        0.0681136,
        0.0609341,
        0.0568849,
        0.057022,
        0.0626412,
        0.0673245,
        0.0666892,
        0.0629782,
        0.0589476,
        0.0555434,
        0.0549391,
        0.0564713,
        0.0585307,
        0.0615865,
        0.0665609,
        0.073295,
        0.0795495,
        0.0829727,
        0.0879087,
        0.0956217,
        0.10914,
        0.132768,
        0.172823,
        0.247908,
        0.230769,
        0.171126,
        0.135547,
        0.111622,
        0.0962972,
        0.0851536,
        0.0777662,
        0.0719146,
        0.0668981,
        0.0630351,
        0.0597971,
        0.0575385,
        0.0542449,
        0.0510495,
        0.0492032,
        0.0475978,
        0.0464038,
        0.0455374,
        0.0454921,
        0.0451188,
        0.0446321,
        0.0433126,
        0.041742,
        0.0407999,
        0.039933,
        0.0396416,
        0.0401,
        0.0410846,
        0.0435483,
        0.0493768,
        0.0550799,
        0.057644,
        0.0596466,
        0.0582474,
        0.0624089,
        0.0673156,
        0.0653002,
        0.0579496,
        0.0540455,
        0.0504004,
        0.0466225,
        0.0428997,
        0.0460965,
        0.0500991,
        0.0591371,
        0.0718833,
        0.075268,
        0.0702877,
        0.0611567,
        0.0530041,
        0.0471805,
        0.0436048,
        0.0410249,
        0.0394429,
        0.0435902,
        0.0413029,
        0.0371098,
        0.0372957,
        0.038484,
        0.0400591,
        0.0412572,
        0.0429023,
        0.0435402,
        0.0436532,
        0.04303,
        0.0420604,
        0.0412169,
        0.0413998,
        0.0413152,
        0.0417302,
        0.0429282,
        0.0458968,
        0.0498954,
        0.0535556,
        0.0550528,
        0.0563422,
        0.0572075,
        0.0605125,
        0.0696807,
        0.0812,
        0.0859918,
        0.0810859,
        0.0803475,
        0.0747993,
        0.0713068,
        0.0772916,
        0.0863178,
        0.0894715,
        0.0827088,
        0.0742533,
        0.0665903,
        0.0659053,
        0.0657961,
        0.0673119,
        0.069092,
        0.0700361,
        0.0725639,
        0.0734532,
        0.0707727,
        0.0674182,
        0.0641781,
        0.0620553,
        0.0615464,
        0.0620854,
        0.0651059,
        0.0694945,
        0.0748966,
        0.0774727,
        0.0770607,
        0.0774086,
        0.0814327,
        0.0949752,
        0.115918,
        0.144376,
        0.204462,
        0.223724,
        0.189195,
        0.152919,
        0.124278,
        0.107887,
        0.0986042,
        0.0959549,
        0.0997516,
        0.109551,
        0.115322,
        0.114916,
        0.11214,
        0.116431,
        0.121224,
        0.127852,
        0.139238,
        0.153648,
        0.164695,
        0.172075,
        0.175968,
        0.183905,
        0.196855,
        0.21117,
        0.236217,
        0.260279,
        0.263255,
        0.274713,
        0.212838,
        0.160138,
        0.124741,
        0.100308,
        0.0872065,
        0.0762941,
        0.0668189,
        0.0599116,
        0.0548881,
        0.0511131,
        0.0487105,
        0.0473218,
        0.0463725,
        0.0456621,
        0.0457949,
        0.046574,
        0.0498166,
        0.0566019,
        0.0673362,
        0.0761622,
        0.0716418,
        0.0598435,
        0.0499996,
        0.0429283,
        0.0410306,
        0.0392774,
        0.0378689,
        0.0378512,
        0.0396694,
        0.0407474,
        0.0407075,
        0.0395727,
        0.0378151,
        0.0366081,
        0.0368275,
        0.0393774,
        0.0453824,
        0.0557083,
        0.0679697,
        0.0766224,
        0.0873007,
        0.102045,
        0.1074,
        0.097666,
        0.0708273,
        0.0532183,
        0.0432984,
        0.0370832,
        0.0340759,
        0.0323013,
        0.0315982,
        0.030514,
        0.0306029,
        0.0314694,
        0.0316461,
        0.0309679,
        0.0308787,
        0.0307082,
        0.0337607,
        0.0349196,
        0.0339172,
        0.0388529,
        0.0472392,
        0.0545424,
        0.0582864,
        0.0525956,
        0.0473156,
        0.0416788,
        0.0413225,
        0.0461681,
        0.050046,
        0.049215,
        0.0439299,
        0.0384097,
        0.0340696,
        0.0312785,
        0.0300142,
        0.0288755,
        0.0286366,
        0.0305439,
        0.0302666,
        0.0280865,
        0.0278605,
        0.0278662,
        0.0278995,
        0.0277071,
        0.0276538,
        0.0274941,
        0.0279053,
        0.0282504,
        0.0279095,
        0.0276226,
        0.0280618,
        0.0289697,
        0.0296111,
        0.0310453,
        0.0315158,
        0.0320463,
        0.0338006,
        0.0354052,
        0.0410181,
        0.0449268,
        0.0454984,
        0.0436562,
        0.0414388,
        0.0394514,
        0.0380898,
        0.0382481,
        0.0392626,
        0.0403689,
        0.0431745,
        0.0481394,
        0.0537446,
        0.0543524,
        0.0495281,
        0.0443977,
        0.0395798,
        0.0360683,
        0.0351676,
        0.0352298,
        0.0362713,
        0.0393925,
        0.0475145,
        0.0536797,
        0.052703,
        0.04803,
        0.042355,
        0.036933,
        0.033007,
        0.0306688,
        0.0303821,
        0.0288553,
        0.0294469,
        0.029025,
        0.0282621,
        0.0280508,
        0.0280355,
        0.0281621,
        0.0281198,
        0.028525,
        0.0285025,
        0.0293932,
        0.0305224,
        0.0304509,
        0.0301924,
        0.0332964,
        0.0324815,
        0.0289512,
        0.0287489,
        0.0286563,
        0.0289241,
        0.029212,
        0.0302949,
        0.0325087,
        0.0350227,
        0.0371074,
        0.0380459,
        0.0388883,
        0.0398961,
        0.0436237,
        0.0519309,
        0.0625752,
        0.0689183,
        0.0713816,
        0.0693558,
        0.06843,
        0.0586882,
        0.0465111,
        0.042391,
        0.0403022,
        0.0399921,
        0.0415935,
        0.0430209,
        0.0489273,
        0.053501,
        0.055399,
        0.0648234,
        0.0777868,
        0.0837786,
        0.0789798,
        0.0746568,
        0.0629174,
        0.0513002,
        0.0459553,
        0.0425193,
        0.0406905,
        0.040134,
        0.039774,
        0.0395626,
        0.0407605,
        0.0447223,
        0.0522373,
        0.0639159,
        0.0758207,
        0.0895536,
        0.0876987,
        0.0682091,
        0.052651,
        0.0425479,
        0.0369415,
        0.0337129,
        0.0319154,
        0.0311484,
        0.0306287,
        0.0302137,
        0.0304094,
        0.030307,
        0.0304605,
        0.0310812,
        0.0317357,
        0.0320836,
        0.031918,
        0.0316234,
        0.0309148,
        0.030307,
        0.0300179,
        0.0298926,
        0.0296786,
        0.0297177,
        0.0299125,
        0.0306968,
        0.032656,
        0.0358315,
        0.0399251,
        0.0414666,
        0.0417491,
        0.0377895,
        0.0332802,
        0.0309696,
        0.0299145,
        0.0300613,
        0.0297499,
        0.0300004,
        0.0300331,
        0.0304339,
        0.0327474,
        0.0374593,
        0.0446737,
        0.0491954,
        0.0462043,
        0.0411258,
        0.0365838,
        0.0335189,
        0.0318106,
        0.0310455,
        0.030515,
        0.0304739,
        0.0309925,
        0.0325111,
        0.0337639,
        0.0341155,
        0.0346305,
        0.0344823,
        0.0361813,
        0.0374872,
        0.0341974,
        0.0356833,
        0.0365565,
        0.0370509,
        0.0384367,
        0.0388252,
        0.0379119,
        0.0373172,
        0.0366788,
        0.0370069,
        0.0385949,
        0.0422086,
        0.0502383,
        0.0626891,
        0.070141,
        0.0655433,
        0.0558493,
        0.0483427,
        0.043562,
        0.0413096,
        0.0403411,
        0.0402971,
        0.0404422,
        0.0406949,
        0.0423034,
        0.0460311,
        0.0503876,
        0.0609226,
        0.0628236,
        0.0581311,
        0.0560601,
        0.0541412,
        0.0543379,
        0.0588793,
        0.0653384,
        0.0703818,
        0.070627,
        0.0698027,
        0.0716204,
        0.0813328,
        0.103437,
        0.139864,
        0.173905,
        0.177795,
        0.156539,
        0.133912,
        0.127854,
        0.133997,
        0.154913,
        0.198535,
        0.297601,
        0.237499,
        0.168237,
        0.130354,
        0.111356,
        0.0979454,
        0.0893377,
        0.0874596,
        0.0939857,
        0.106408,
        0.111734,
        0.104237,
        0.0940147,
        0.083905,
        0.0777331,
        0.0761155,
        0.0777554,
        0.0801075,
        0.0831696,
        0.0861595,
        0.0920253,
        0.0954446,
        0.0979611,
        0.101955,
        0.10761,
        0.109692,
        0.11794,
        0.129124,
        0.132454,
        0.127584,
        0.132684,
        0.140707,
        0.159763,
        0.189934,
        0.234964,
        0.290194,
        0.328793,
        0.361338,
        0.294366,
        0.219773,
        0.19324,
        0.177635,
        0.172388,
        0.163486,
        0.153989,
        0.147863,
        0.145806,
        0.146255,
        0.150107,
        0.160376,
        0.173707,
        0.190606,
        0.217107,
        0.265071,
        0.285358,
        0.234242,
        0.208242,
        0.208702,
        0.228117,
        0.239984,
        0.218469,
        0.172111,
        0.127439,
        0.0997474,
        0.0830131,
        0.0799243,
        0.0753078,
        0.0631012,
        0.0601636,
        0.0577704,
        0.0539924,
        0.0516265,
        0.0500718,
        0.0489794,
        0.0476767,
        0.0477437,
        0.048186,
        0.0490602,
        0.0497129,
        0.0491787,
        0.048018,
        0.0476444,
        0.0474911,
        0.0483985,
        0.0516223,
        0.0578823,
        0.0672132,
        0.0740973,
        0.0707252,
        0.0623719,
        0.0547452,
        0.0498558,
        0.04845,
        0.0514375,
        0.0583742,
        0.0645812,
        0.062689,
        0.0562164,
        0.0499732,
        0.0444715,
        0.0412788,
        0.0396974,
        0.0383865,
        0.038231,
        0.0378988,
        0.0370728,
        0.0364056,
        0.0360301,
        0.0356954,
        0.0354642,
        0.0361371,
        0.0361761,
        0.0351593,
        0.0349448,
        0.0355849,
        0.0377441,
        0.041603,
        0.0447053,
        0.04441,
        0.0419691,
        0.0389657,
        0.0361734,
        0.0342535,
        0.0338188,
        0.0333686,
        0.0327014,
        0.0328477,
        0.0332588,
        0.0337373,
        0.0345196,
        0.0348574,
        0.035422,
        0.0358054,
        0.0356081,
        0.0356312,
        0.0370252,
        0.0409262,
        0.0468996,
        0.0495583,
        0.0468105,
        0.0421353,
        0.0383759,
        0.0367091,
        0.0365738,
        0.0364199,
        0.0357004,
        0.0346393,
        0.0345476,
        0.0351311,
        0.0355913,
        0.0350429,
        0.0345378,
        0.0340587,
        0.0334135,
        0.0331618,
        0.033473,
        0.0337907,
        0.0342041,
        0.0347301,
        0.0355329,
        0.0360773,
        0.0363104,
        0.0367771,
        0.0378665,
        0.0408664,
        0.0429229,
        0.0447597,
        0.0514902,
        0.0634701,
        0.0769343,
        0.0835785,
        0.0856494,
        0.0859249,
        0.0829482,
        0.0820345,
        0.0831716,
        0.0863956,
        0.0952949,
        0.112569,
        0.142515,
        0.188696,
        0.212409,
        0.159845,
        0.138737,
        0.116561,
        0.0951707,
        0.0890397,
        0.080963,
        0.073451,
        0.0657016,
        0.0581523,
        0.0512638,
        0.0469737,
        0.0452527,
        0.0442802,
        0.0442075,
        0.0436654,
        0.0431412,
        0.044168,
        0.0484879,
        0.0580826,
        0.0708077,
        0.0838554,
        0.0902557,
        0.0835857,
        0.0798872,
        0.0685084,
        0.0571758,
        0.0596728,
        0.0627179,
        0.0607118,
        0.0577751,
        0.049768,
        0.0435619,
        0.040555,
        0.0364201,
        0.0355038,
        0.0349742,
        0.03496,
        0.036352,
        0.0379012,
        0.0383594,
        0.0378578,
        0.037711,
        0.0388526,
        0.0417627,
        0.0476471,
        0.0541927,
        0.0528905,
        0.0464519,
        0.0415756,
        0.0377921,
        0.0354152,
        0.0353377,
        0.0340309,
        0.0332661,
        0.0327246,
        0.0325238,
        0.0323851,
        0.0325369,
        0.033256,
        0.0336469,
        0.0351676,
        0.0377771,
        0.0416615,
        0.0439173,
        0.0423982,
        0.0396246,
        0.0373089,
        0.0359333,
        0.035773,
        0.0360582,
        0.037028,
        0.0376212,
        0.0378782,
        0.0386733,
        0.0391549,
        0.0390773,
        0.0390893,
        0.0411975,
        0.043174,
        0.0433864,
        0.0422363,
        0.0418363,
        0.0415296,
        0.0447398,
        0.0457381,
        0.0500168,
        0.0576589,
        0.0593211,
        0.0553323,
        0.0492797,
        0.0451615,
        0.0421985,
        0.0420042,
        0.0408684,
        0.0401377,
        0.0411813,
        0.0454744,
        0.0540131,
        0.0653761,
        0.0700245,
        0.0647468,
        0.0569551,
        0.0508739,
        0.0472929,
        0.0446118,
        0.0437329,
        0.0438562,
        0.0444059,
        0.0447225,
        0.0456286,
        0.0470466,
        0.0478328,
        0.0488176,
        0.050978,
        0.0537986,
        0.0607641,
        0.0673339,
        0.0688762,
        0.0694907,
        0.0687017,
        0.0688446,
        0.0708256,
        0.0752341,
        0.080762,
        0.0885519,
        0.0991192,
        0.110741,
        0.123359,
        0.142153,
        0.173805,
        0.218327,
        0.2872,
        0.280082,
        0.206542,
        0.163011,
        0.136963,
        0.117797,
        0.104742,
        0.105808,
        0.0967645,
        0.0813918,
        0.0770535,
        0.0730758,
        0.0692976,
        0.0699632,
        0.0679524,
        0.0650522,
        0.0653199,
        0.067675,
        0.0745936,
        0.0876421,
        0.101328,
        0.102482,
        0.0981283,
        0.0969519,
        0.0926498,
        0.0886187,
        0.0935097,
        0.100789,
        0.109101,
        0.12393,
        0.144654,
        0.173694,
        0.235498,
        0.182356,
        0.142405,
        0.115376,
        0.0950943,
        0.0816306,
        0.071192,
        0.0641208,
        0.0599809,
        0.0625182,
        0.067511,
        0.0670607,
        0.0606006,
        0.0551998,
        0.0509811,
        0.0476509,
        0.0453073,
        0.0438942,
        0.0429058,
        0.041676,
        0.0409377,
        0.0394493,
        0.038581,
        0.038187,
        0.0424954,
        0.0401721,
        0.0373519,
        0.0377161,
        0.0380348,
        0.0387792,
        0.0396818,
        0.0400954,
        0.0405084,
        0.0397962,
        0.0386716,
        0.0385769,
        0.0409119,
        0.0465743,
        0.0515361,
        0.0519994,
        0.0488663,
        0.0451016,
        0.0414053,
        0.0384949,
        0.0373021,
        0.0365342,
        0.0362853,
        0.0382115,
        0.0389768,
        0.0392408,
        0.0396948,
        0.0397234,
        0.0393525,
        0.0387922,
        0.0384625,
        0.0390441,
        0.0390282,
        0.0391217,
        0.0396756,
        0.0405839,
        0.0420295,
        0.0441717,
        0.0482503,
        0.0532497,
        0.0568423,
        0.0581799,
        0.0619281,
        0.0703169,
        0.0810101,
        0.0899979,
        0.0918099,
        0.0918855,
        0.0926447,
        0.0976754,
        0.108589,
        0.127731,
        0.152239,
        0.190434,
        0.259021,
        0.207939,
        0.165821,
        0.146217,
        0.129051,
        0.109783,
        0.0895319,
        0.0755381,
        0.0653401,
        0.0597922,
        0.0556724,
        0.0507194,
        0.0481201,
        0.0457554,
        0.0446933,
        0.0434513,
        0.043181,
        0.0439703,
        0.0454344,
        0.0455672,
        0.0442564,
        0.0426877,
        0.04183,
        0.0416161,
        0.0426735,
        0.0472723,
        0.0546729,
        0.0638162,
        0.0687612,
        0.0702853,
        0.0754672,
        0.0826355,
        0.0836099,
        0.0747771,
        0.0626142,
        0.0523903,
        0.0450429,
        0.0407758,
        0.0400379,
        0.0379196,
        0.03638,
        0.0357571,
        0.0353067,
        0.0354859,
        0.0351953,
        0.0353062,
        0.0350034,
        0.0350244,
        0.0357446,
        0.039469,
        0.0455832,
        0.0480092,
        0.0509723,
        0.0496781,
        0.0458675,
        0.04201,
        0.0390385,
        0.0374502,
        0.0365254,
        0.0363195,
        0.0385138,
        0.0418381,
        0.0447941,
        0.0445257,
        0.0426801,
        0.040031,
        0.0382669,
        0.0377384,
        0.038585,
        0.0395175,
        0.040181,
        0.0405785,
        0.0405896,
        0.0404395,
        0.0404203,
        0.0407311,
        0.041521,
        0.0439812,
        0.0484983,
        0.0520965,
        0.0531843,
        0.0539084,
        0.0541094,
        0.0582371,
        0.0603741,
        0.0620665,
        0.0678366,
        0.0745174,
        0.0827527,
        0.0916691,
        0.103464,
        0.118801,
        0.146583,
        0.182597,
        0.23086,
        0.162438,
        0.12154,
        0.0955003,
        0.0791622,
        0.0698529,
        0.0653919,
        0.0637046,
        0.0630474,
        0.060527,
        0.0552325,
        0.0509338,
        0.0470982,
        0.0449881,
        0.0430351,
        0.0402503,
        0.0391029,
        0.0382427,
        0.0373704,
        0.0372232,
        0.0366964,
        0.0408074,
        0.0401463,
        0.0353659,
        0.0348446,
        0.034582,
        0.0345475,
        0.0345078,
        0.0346732,
        0.0346749,
        0.0358146,
        0.0349494,
        0.0348155,
        0.0349661,
        0.034807,
        0.0347299,
        0.0358227,
        0.037302,
        0.0449701,
        0.050398,
        0.0481763,
        0.04726,
        0.0447541,
        0.0420078,
        0.0396408,
        0.0385331,
        0.0382415,
        0.0393408,
        0.0428788,
        0.049814,
        0.0577769,
        0.0600863,
        0.0569007,
        0.0519216,
        0.0473005,
        0.0450416,
        0.0440128,
        0.0438573,
        0.0448229,
        0.0487154,
        0.0502534,
        0.0478288,
        0.0475447,
        0.0510855,
        0.0502995,
        0.0499173,
        0.0540326,
        0.0617052,
        0.0775368,
        0.0873106,
        0.0827998,
        0.0723459,
        0.0609507,
        0.0522444,
        0.0462573,
        0.0424303,
        0.040394,
        0.0391348,
        0.0381065,
        0.0366975,
        0.0361394,
        0.0358093,
        0.0354179,
        0.0357221,
        0.0356236,
        0.0360583,
        0.038047,
        0.0420507,
        0.0482756,
        0.0557621,
        0.0528182,
        0.0461363,
        0.0419521,
        0.0382478,
        0.0368923,
        0.0376156,
        0.0401935,
        0.0430823,
        0.043321,
        0.0418333,
        0.0397776,
        0.0374888,
        0.0360238,
        0.0347693,
        0.0345034,
        0.0346251,
        0.0348392,
        0.0346884,
        0.0348373,
        0.0349297,
        0.0358082,
        0.0366084,
        0.037814,
        0.03888,
        0.0382709,
        0.0380757,
        0.0374525,
        0.0368693,
        0.0363492,
        0.0361723,
        0.0367694,
        0.0372355,
        0.0375278,
        0.0371537,
        0.0364734,
        0.0358056,
        0.0357886,
        0.0356991,
        0.0363386,
        0.0384401,
        0.0422717,
        0.0473682,
        0.0510664,
        0.0494154,
        0.045574,
        0.0414417,
        0.0384837,
        0.0365911,
        0.0360999,
        0.0361542,
        0.0355665,
        0.0352097,
        0.0363832,
        0.038206,
        0.0415291,
        0.0410944,
        0.0420296,
        0.0439455,
        0.0448752,
        0.0436638,
        0.0415071,
        0.0399356,
        0.0389375,
        0.0386635,
        0.039296,
        0.0397344,
        0.0411909,
        0.0446135,
        0.0517083,
        0.0603567,
        0.0666574,
        0.0669042,
        0.0634383,
        0.058934,
        0.0560738,
        0.0552517,
        0.0567646,
        0.0596623,
        0.0632335,
        0.0673019,
        0.0730611,
        0.0790932,
        0.0859931,
        0.0929886,
        0.0991923,
        0.105248,
        0.11042,
        0.119122,
        0.136559,
        0.164518,
        0.208725,
        0.284111,
        0.194207,
        0.152341,
        0.12306,
        0.104855,
        0.0884392,
        0.0789412,
        0.0718535,
        0.0673896,
        0.064037,
        0.0601437,
        null,
        0.220423,
        0.173071,
        0.157922,
        0.137433,
        0.116523,
        0.10924,
        0.107274,
        0.109313,
        0.108961,
        0.103585,
        0.0933726,
        0.0839066,
        0.0762677,
        0.0719565,
        0.0687739,
        0.0659379,
        0.0644001,
        0.063524,
        0.0624221,
        0.0646276,
        0.0725572,
        0.0671797,
        0.0589504,
        0.0585262,
        0.0624223,
        0.0619664,
        0.0568246,
        0.0570709,
        0.0616029,
        0.0648448,
        0.0644259,
        0.0674726,
        0.0664787,
        0.0630402,
        0.0592851,
        0.0568349,
        0.0557064,
        0.0555443,
        0.0576766,
        0.057389,
        0.056335,
        0.056271,
        0.0550036,
        0.0536705,
        0.0534255,
        0.0537782,
        0.0534617,
        0.0537076,
        0.0536875,
        0.0532063,
        0.0530152,
        0.0536545,
        0.0548113,
        0.0574307,
        0.0640827,
        0.0736064,
        0.0765719,
        0.0758838,
        0.0758901,
        0.0729425,
        0.0701309,
        0.068444,
        0.0747263,
        0.0798559,
        0.0815454,
        0.0806209,
        0.0764493,
        0.0719788,
        0.0682712,
        0.0659774,
        0.0641833,
        0.0663187,
        0.0721943,
        0.078164,
        0.0801593,
        0.078226,
        0.074753,
        0.0717999,
        0.0745513,
        0.081148,
        0.0782015,
        0.0710769,
        0.0696908,
        0.0744659,
        0.0807276,
        0.0845974,
        0.0845935,
        0.0819485,
        0.0786634,
        0.0763113,
        0.0771949,
        0.0809953,
        0.0887044,
        0.0967547,
        0.10685,
        0.115517,
        0.119619,
        0.118931,
        0.11893,
        0.120457,
        0.125027,
        0.135307,
        0.150163,
        0.17426,
        0.320257,
        0.247661,
        0.199102,
        0.175841,
        0.160999,
        0.143301,
        0.124134,
        0.107408,
        0.0929049,
        0.0827803,
        0.0787304,
        0.0813489,
        0.0848635,
        0.0870986,
        0.0841202,
        0.0788054,
        0.0744307,
        0.0703138,
        0.0683674,
        0.0668726,
        0.0674901,
        0.0622501,
        0.0597914,
        0.0577483,
        0.0558644,
        0.0549893,
        0.0544991,
        0.0547285,
        0.0554791,
        0.0562207,
        0.0571651,
        0.0575689,
        0.0563672,
        0.0552415,
        0.0541003,
        0.0542519,
        0.0554191,
        0.056962,
        0.0600718,
        0.0633772,
        0.0683361,
        0.0756352,
        0.0834947,
        0.0909428,
        0.096399,
        0.0995974,
        0.100345,
        0.0997057,
        0.0963729,
        0.0885307,
        0.0784054,
        0.0705721,
        0.0643684,
        0.0606364,
        0.0600969,
        0.0565616,
        0.0551749,
        0.0548764,
        0.0541481,
        0.0541788,
        0.0562463,
        0.0592676,
        0.0707202,
        0.0746549,
        0.0672151,
        0.0654868,
        0.0617048,
        0.0583727,
        0.0568714,
        0.0574313,
        0.059246,
        0.0632264,
        0.073732,
        0.0827148,
        0.0843943,
        0.0854003,
        0.079967,
        0.0726469,
        0.0671696,
        0.0632686,
        0.0600459,
        0.0586973,
        0.0586575,
        0.0585617,
        0.0580663,
        0.0577383,
        0.0570553,
        0.0562989,
        0.0568877,
        0.0573269,
        0.0568907,
        0.0569569,
        0.0572353,
        0.0588063,
        0.0609665,
        0.0638433,
        0.066296,
        0.0705849,
        0.0782108,
        0.0874524,
        0.0947792,
        0.0964256,
        0.0999181,
        0.0902984,
        0.0723342,
        0.064763,
        0.0601313,
        0.0568704,
        0.0544684,
        0.0527696,
        0.0524292,
        0.0523507,
        0.0530775,
        0.0537596,
        0.0556342,
        0.0577067,
        0.0582404,
        0.0583658,
        0.0586654,
        0.0594065,
        0.0613395,
        0.0643182,
        0.0680875,
        0.0742407,
        0.081151,
        0.0870737,
        0.0907915,
        0.0902949,
        0.0848831,
        0.0781305,
        0.0730899,
        0.0696705,
        0.0680354,
        0.0690263,
        0.0708875,
        0.0782397,
        0.0829555,
        0.0805462,
        0.0779618,
        0.0760728,
        0.0764414,
        0.0777313,
        0.0834591,
        0.0923182,
        0.103853,
        0.121368,
        0.140913,
        0.158412,
        0.179355,
        0.196673,
        0.202479,
        0.197583,
        0.194025,
        0.196428,
        0.186782,
        0.176548,
        0.174732,
        0.176023,
        0.190619,
        0.226724,
        0.297741,
        0.291861,
        0.259195,
        0.251356,
        0.248247,
        0.255284,
        0.229329,
        0.195403,
        0.16376,
        0.139359,
        0.123542,
        0.114606,
        0.109555,
        0.104294,
        0.0984554,
        0.0909276,
        0.0844306,
        0.0820157,
        0.0832079,
        0.0851499,
        0.0905555,
        0.0994288,
        0.111624,
        0.130003,
        0.1588,
        0.203153,
        0.251108,
        0.266365,
        0.245811,
        0.204526,
        0.172462,
        0.150278,
        0.140377,
        0.136026,
        0.137005,
        0.147097,
        0.15943,
        0.177605,
        0.196368,
        0.201449,
        0.190958,
        0.192677,
        0.190192,
        0.203393,
        0.24067,
        0.34883,
        0.299147,
        0.306704,
        0.275733,
        0.237278,
        0.213471,
        0.204228,
        0.210492,
        0.253281,
        0.223639,
        0.222455,
        0.23833,
        null,
        0.190459,
        0.166996,
        0.149803,
        0.138035,
        0.124459,
        0.111892,
        0.103907,
        0.0959582,
        0.0921411,
        0.0878487,
        0.0841113,
        0.0808728,
        0.0775441,
        0.0742134,
        0.0732063,
        0.0734532,
        0.0731754,
        0.0703826,
        0.0674419,
        0.0652107,
        0.0647375,
        0.0657513,
        0.0672345,
        0.0662469,
        0.0635764,
        0.0612506,
        0.0619215,
        0.0602843,
        0.0564019,
        0.0562292,
        0.0564946,
        0.0561664,
        0.0566843,
        0.0596312,
        0.0582829,
        0.0562081,
        0.0548121,
        0.0540344,
        0.0530593,
        0.0527599,
        0.052097,
        0.0522077,
        0.0536338,
        0.0552513,
        0.0628976,
        0.0644004,
        0.0662046,
        0.073332,
        0.084571,
        0.0961662,
        0.0991553,
        0.0921802,
        0.0815094,
        0.0723975,
        0.0640936,
        0.0581468,
        0.0537911,
        0.0505913,
        0.0479996,
        0.0466557,
        0.0454499,
        0.0446931,
        0.0463519,
        0.0451101,
        0.0450481,
        0.0451225,
        0.0459357,
        0.0472846,
        0.0523529,
        0.0520258,
        0.0505797,
        0.0489837,
        0.0474046,
        0.0460037,
        0.0451964,
        0.0480405,
        0.047136,
        0.0437072,
        0.0428468,
        0.0447885,
        0.045017,
        0.0457163,
        0.0487483,
        0.0549983,
        0.0596808,
        0.0608592,
        0.0585572,
        0.0549887,
        0.0526319,
        0.0525842,
        0.0548486,
        0.0599016,
        0.0663478,
        0.0699551,
        0.0698907,
        0.0719396,
        0.0750275,
        0.0801406,
        0.0840101,
        0.0827775,
        0.0800961,
        0.0748419,
        0.0684282,
        0.0626692,
        0.0588138,
        0.0556441,
        0.0538471,
        0.0510215,
        0.04837,
        0.0459702,
        0.0439949,
        0.0427934,
        0.0422223,
        0.0419872,
        0.041138,
        0.0401849,
        0.0394667,
        0.0391532,
        0.0389867,
        0.0395327,
        0.0415502,
        0.0441013,
        0.0450772,
        0.0448031,
        0.0445787,
        0.0457457,
        0.0470595,
        0.0468603,
        0.0453609,
        0.0425335,
        0.0400278,
        0.039154,
        0.0393927,
        0.0400229,
        0.0410699,
        0.043362,
        0.0437426,
        0.0442936,
        0.0446525,
        0.0443821,
        0.0438452,
        0.043189,
        0.0429782,
        0.0427616,
        0.042448,
        0.0436286,
        0.0430851,
        0.0435165,
        0.0485305,
        0.0537851,
        0.0507431,
        0.050145,
        0.0530086,
        0.0574653,
        0.0629222,
        0.0712698,
        0.0829055,
        0.101601,
        0.125128,
        0.135352,
        0.126754,
        0.10955,
        0.0923498,
        0.0814518,
        0.0750474,
        0.0676612,
        0.061875,
        0.0567502,
        0.0556065,
        0.0516221,
        0.0486105,
        0.0473285,
        0.0466013,
        0.0456558,
        0.0443173,
        0.0432183,
        0.0416454,
        0.0403968,
        0.039917,
        0.0391512,
        0.0386413,
        0.0382693,
        0.0379659,
        0.0386883,
        0.0411304,
        0.0437932,
        0.0481524,
        0.0470536,
        0.0460305,
        0.043169,
        0.0454593,
        0.0470057,
        0.0464261,
        0.0481452,
        0.0451013,
        0.0387744,
        0.0382096,
        0.0381112,
        0.0385835,
        0.0401757,
        0.0424421,
        0.0449015,
        0.0468798,
        0.0465941,
        0.0460832,
        0.045933,
        0.0462749,
        0.0470474,
        0.0491009,
        0.0515085,
        0.0534198,
        0.055266,
        0.0554534,
        0.0534526,
        0.0530343,
        0.0527426,
        0.0550579,
        0.059643,
        0.0655411,
        0.0699087,
        0.0759092,
        0.0796202,
        0.0791319,
        0.0757499,
        0.0718508,
        0.0675358,
        0.0666242,
        0.0669207,
        0.0656854,
        0.0609413,
        0.0560524,
        0.0512138,
        0.0486689,
        0.0479692,
        0.0475156,
        0.0473087,
        0.0472443,
        0.0478466,
        0.049621,
        0.0525192,
        0.0550438,
        0.0576737,
        0.0618667,
        0.0611208,
        0.0650636,
        0.0627228,
        0.0609715,
        0.0636611,
        0.068549,
        0.0723452,
        0.0740419,
        0.0721076,
        0.0707413,
        0.0739311,
        0.0757617,
        0.0769626,
        0.0823756,
        0.0888337,
        0.0973987,
        0.107594,
        0.121851,
        0.142163,
        0.170367,
        0.199412,
        0.226298,
        0.373133,
        0.326923,
        0.254346,
        0.20796,
        0.178712,
        0.153538,
        0.139721,
        0.126432,
        0.124898,
        0.115936,
        0.0987309,
        0.092785,
        0.0880307,
        0.0857603,
        0.0835748,
        0.0824292,
        0.0808384,
        0.0776783,
        0.0761843,
        0.0744136,
        0.0735663,
        0.0736976,
        0.0743968,
        0.0731843,
        0.0709878,
        0.0684462,
        0.0668488,
        0.0668239,
        0.0675274,
        0.0673596,
        0.0690801,
        0.0686398,
        0.0680403,
        0.0691959,
        0.0710232,
        0.072789,
        0.0778902,
        0.0837145,
        0.0931063,
        0.105982,
        0.123948,
        0.150652,
        0.199681,
        0.27688,
        0.28115,
        0.18618,
        0.139904,
        0.112074,
        0.0952809,
        0.0831118,
        0.0750455,
        0.0683584,
        0.0647044,
        0.0607656,
        0.0588881,
        0.0578654,
        0.0569843,
        0.0559953,
        0.0564223,
        0.0570892,
        0.0590853,
        0.0619617,
        0.0690277,
        0.0671275,
        0.0583006,
        0.0562775,
        0.0539236,
        0.0529885,
        0.0517575,
        0.0505649,
        0.04975,
        0.0488806,
        0.0480946,
        0.0470848,
        0.046075,
        0.0443942,
        0.044124,
        0.0481406,
        0.0468415,
        0.0450017,
        0.0458292,
        0.0467119,
        0.0482278,
        0.0504936,
        0.0534867,
        0.058386,
        0.0654707,
        0.0779129,
        0.0922244,
        0.109313,
        0.133184,
        0.173639,
        0.23218,
        0.298628,
        0.248554,
        0.205466,
        0.174648,
        0.150581,
        0.134604,
        0.116542,
        0.0979862,
        0.0842712,
        0.072243,
        0.0644994,
        0.0587387,
        0.0537936,
        0.0503483,
        0.0475492,
        0.0451407,
        0.0437232,
        0.0423963,
        0.0410385,
        0.040199,
        0.0394425,
        0.0395395,
        0.0480853,
        0.0482434,
        0.0404362,
        0.0426049,
        0.0468475,
        0.0518567,
        0.0550802,
        0.0581244,
        0.0590363,
        0.0484868,
        0.044368,
        0.0443966,
        0.045151,
        0.0482651,
        0.050984,
        0.0563633,
        0.0632282,
        0.071096,
        0.0750346,
        0.0745585,
        0.0709101,
        0.0634307,
        0.0575094,
        0.0530763,
        0.0498345,
        0.04766,
        0.04562,
        0.0445027,
        0.0441876,
        0.0424543,
        0.0413575,
        0.0406872,
        0.0402333,
        0.0389243,
        0.0392095,
        0.03938,
        0.039873,
        0.0404878,
        0.0402887,
        0.0418167,
        0.0420454,
        0.0426878,
        0.0440621,
        0.0467145,
        0.0485792,
        0.0517327,
        0.0559148,
        0.0613728,
        0.0639681,
        0.0665854,
        0.0712603,
        0.0843411,
        0.0949576,
        0.0974385,
        0.114171,
        0.135879,
        0.156968,
        0.182221,
        0.198846,
        0.201523,
        0.191303,
        0.169886,
        0.163381,
        0.143467,
        0.109661,
        0.0942044,
        0.0814654,
        0.0741181,
        0.0716444,
        0.0704188,
        0.070181,
        0.0691111,
        0.0705232,
        0.068417,
        0.062915,
        0.0588624,
        0.0545073,
        0.0516629,
        0.0515006,
        0.0501929,
        0.0503199,
        0.0507642,
        0.0561404,
        0.0585766,
        0.056089,
        0.0627203,
        0.0672592,
        0.0686571,
        0.0762412,
        0.0925118,
        0.105613,
        0.110403,
        0.130413,
        0.181084,
        0.265837,
        0.193026,
        0.151644,
        0.123575,
        0.105987,
        0.091487,
        0.0826972,
        0.0779954,
        0.0767577,
        0.0766523,
        0.0698043,
        0.0623199,
        0.0577328,
        0.0556739,
        0.053267,
        0.0507037,
        0.0524893,
        0.0521152,
        0.0504374,
        0.0494282,
        0.0483671,
        0.0476244,
        0.0480326,
        0.0542778,
        0.053076,
        0.0489908,
        0.0482617,
        0.0482857,
        0.0465535,
        0.0441928,
        0.0422944,
        0.0405527,
        0.0396851,
        0.0390838,
        0.0383962,
        0.0383338,
        0.0389221,
        0.0413052,
        0.0391539,
        0.0379553,
        0.038045,
        0.0378265,
        0.0407473,
        0.0415736,
        0.0399471,
        0.041734,
        0.0444193,
        0.0487276,
        0.0538453,
        0.0589156,
        0.0640496,
        0.0708638,
        0.0762493,
        0.0763128,
        0.0710778,
        0.0646464,
        0.0579288,
        0.0528806,
        0.0494695,
        0.0477111,
        0.0459537,
        0.0485738,
        0.0478512,
        0.0449643,
        0.0458106,
        0.0464637,
        0.0517204,
        0.0503749,
        0.0471974,
        0.0460531,
        0.045261,
        0.045011,
        0.045062,
        0.0455757,
        0.047651,
        0.0498875,
        0.0526804,
        0.0565464,
        0.0603904,
        0.0643368,
        0.0660856,
        0.0627806,
        0.0570461,
        0.0526673,
        0.048065,
        0.0445147,
        0.0420591,
        0.0403483,
        0.0389924,
        0.0377127,
        0.0372198,
        0.0383193,
        0.0402894,
        0.0401655,
        0.037885,
        0.0370296,
        0.0358686,
        0.0360093,
        0.0357532,
        0.0361383,
        0.0376224,
        0.0389799,
        0.0413312,
        0.0438478,
        0.0463182,
        0.0483135,
        0.0486161,
        0.0473685,
        0.0462772,
        0.0453481,
        0.0437772,
        0.0431288,
        0.043906,
        0.0480541,
        0.0479257,
        0.0486667,
        0.0496457,
        0.0514438,
        0.0518494,
        0.0501145,
        0.0471784,
        0.0450541,
        0.0445749,
        0.0459108,
        0.0470189,
        0.0465141,
        0.0459651,
        0.046267,
        0.0453791,
        0.0454722,
        0.0440516,
        0.0440389,
        0.0428349,
        0.0414365,
        0.040773,
        0.0418159,
        0.0428677,
        0.0453265,
        0.0482278,
        0.0508365,
        0.052051,
        0.0527366,
        0.0524807,
        0.0531364,
        0.0546191,
        0.0556776,
        0.0563187,
        0.0565546,
        0.0565357,
        0.0558283,
        0.0555848,
        0.0557454,
        0.0568042,
        0.0602064,
        0.0659517,
        0.0707456,
        0.0716936,
        0.0732517,
        0.0752762,
        0.0842852,
        0.0882363,
        0.094465,
        0.105815,
        0.121659,
        0.14377,
        0.17777,
        0.229449,
        0.254198,
        0.200035,
        0.169363,
        0.145837,
        0.126958,
        0.11529,
        0.10993,
        0.0970936,
        0.0846679,
        0.0795848,
        0.076952,
        0.0727693,
        0.0688363,
        0.0650439,
        0.0626006,
        0.0596201,
        0.0577131,
        0.0545291,
        0.0528456,
        0.0550289,
        0.0551822,
        0.0562425,
        0.0587577,
        0.0586526,
        0.0555922,
        0.0515065,
        0.0473146,
        0.0439259,
        0.0421921,
        0.041354,
        0.0412227,
        0.0411281,
        0.0407404,
        0.0406927,
        0.0410938,
        0.0413582,
        0.0420312,
        0.0421298,
        0.04266,
        0.0437689,
        0.0460152,
        0.0485637,
        0.0527443,
        0.057478,
        0.063403,
        0.0697226,
        0.0743314,
        0.0740208,
        0.0716101,
        0.0670418,
        0.0622336,
        0.0570038,
        0.0529382,
        0.0505826,
        0.0491975,
        0.0476669,
        0.0470568,
        0.0468343,
        0.0467642,
        0.0489924,
        0.0489756,
        0.0493471,
        0.054163,
        0.0615348,
        0.0696758,
        0.0753523,
        0.0780019,
        0.0770731,
        0.0730173,
        0.0653003,
        0.0581062,
        0.0519421,
        0.047796,
        0.0444627,
        0.0421542,
        0.0410212,
        0.0402139,
        0.0400097,
        0.0396243,
        0.0394466,
        0.0393856,
        0.0399611,
        0.0404299,
        0.0421277,
        0.0440649,
        0.0452065,
        0.0463436,
        0.0484404,
        0.0507756,
        0.0531458,
        0.0522085,
        0.0481943,
        0.044259,
        0.0414623,
        0.0395576,
        0.0456405,
        0.0443445,
        0.0372513,
        0.0378451,
        0.0376398,
        0.0381887,
        0.0397277,
        0.0414445,
        0.0432329,
        0.044368,
        0.0436476,
        0.042372,
        0.0411033,
        0.0426428,
        0.0414234,
        0.0398007,
        0.0403087,
        0.0409741,
        0.0408001,
        0.0407441,
        0.0402527,
        0.0400825,
        0.0404866,
        0.0430334,
        0.0455582,
        0.0468134,
        0.0476193,
        0.0481542,
        0.0473925,
        0.0462492,
        0.0463984,
        0.0469395,
        0.0482216,
        0.0500479,
        0.0525611,
        0.0559685,
        0.0586072,
        0.057695,
        0.0546474,
        0.0516967,
        0.0490097,
        0.0473873,
        0.0479099,
        0.0499728,
        0.0514079,
        0.052129,
        0.0515041,
        0.0503235,
        0.0490649,
        0.0495504,
        0.0508931,
        0.0530409,
        0.0548244,
        0.0565981,
        0.0579917,
        0.0591163,
        0.0603265,
        0.0628332,
        0.065624,
        0.0684488,
        0.0718333,
        0.0767369,
        0.0838222,
        0.0932565,
        0.106417,
        0.117269,
        0.131832,
        0.154055,
        0.189975,
        0.242482,
        0.354017,
        0.264858,
        0.197342,
        0.169407,
        0.147977,
        0.130646,
        0.11618,
        0.108949,
        0.104606,
        0.102222,
        0.101803,
        0.10458,
        0.109862,
        0.137624,
        0.162028,
        0.178893,
        0.209615,
        0.216636,
        0.198516,
        0.161483,
        0.128912,
        0.107917,
        0.0915385,
        0.0806072,
        0.0738116,
        0.0686205,
        0.0651875,
        0.0639598,
        0.0646048,
        0.0653576,
        0.066751,
        0.067898,
        0.072782,
        0.071596,
        0.0642183,
        0.0606067,
        0.0582794,
        0.0579295,
        0.0579941,
        0.0580508,
        0.0621416,
        0.066081,
        0.0688881,
        0.0709643,
        0.0709949,
        0.0689404,
        0.0669667,
        0.0641975,
        0.061735,
        0.0680142,
        0.0730738,
        0.0657283,
        0.0656203,
        0.0673935,
        0.0672002,
        0.0674126,
        0.0672715,
        0.0649332,
        0.0608698,
        0.0571005,
        0.0519935,
        0.0491045,
        0.0473095,
        0.0473369,
        0.0477326,
        0.0475754,
        0.0472288,
        0.0473322,
        0.0466152,
        0.0472618,
        0.0493447,
        0.0513253,
        0.0538348,
        0.0554428,
        0.0542126,
        0.0516649,
        0.0495385,
        0.0469464,
        0.0449169,
        0.0437557,
        0.0424014,
        0.0410462,
        0.0402397,
        0.0400197,
        0.0431037,
        0.0430741,
        0.0405905,
        0.0408607,
        0.0407058,
        0.0404773,
        0.0393109,
        0.0388212,
        0.0381871,
        0.0374847,
        0.0373764,
        0.0372408,
        0.0380539,
        0.0385384,
        0.0378898,
        0.0378233,
        0.0380001,
        0.0425446,
        0.0411121,
        0.0376585,
        0.0383326,
        0.038158,
        0.038035,
        0.0379534,
        0.0382122,
        0.0386496,
        0.0391779,
        0.0394753,
        0.0399126,
        0.0413957,
        0.0429001,
        0.0494561,
        0.0506203,
        0.0468869,
        0.0480826,
        0.0487875,
        0.0482071,
        0.0482836,
        0.04858,
        0.0490983,
        0.0487582,
        0.052494,
        0.0522013,
        0.049184,
        0.0499879,
        0.0516207,
        0.0533813,
        0.0548517,
        0.0547624,
        0.0543986,
        0.0551233,
        0.0570793,
        0.0573481,
        0.0565392,
        0.055776,
        0.0562424,
        0.0580471,
        0.0608427,
        0.0625381,
        0.0637586,
        0.0654738,
        0.0647793,
        0.063283,
        0.0633833,
        0.0656006,
        0.0676522,
        0.0669541,
        0.0679561,
        0.0708721,
        0.0811562,
        0.0883793,
        0.0909265,
        0.0986224,
        0.104664,
        0.113939,
        0.127484,
        0.143046,
        0.182988,
        0.214778,
        0.229921,
        0.227569,
        0.190195,
        0.166141,
        0.143527,
        0.130783,
        0.119727,
        0.109221,
        0.102635,
        0.0958778,
        0.0903265,
        0.0865,
        0.0823807,
        0.0804823,
        0.080617,
        0.0808368,
        0.0815775,
        0.0822505,
        0.0877081,
        0.0861728,
        0.0777778,
        0.0750905,
        0.0731204,
        0.0713834,
        0.0698104,
        0.0675472,
        0.0651378,
        0.0627094,
        0.0612179,
        0.0598696,
        0.0595117,
        0.0602521,
        0.0650858,
        0.0667084,
        0.0640692,
        0.067726,
        0.0751148,
        0.0933322,
        0.104525,
        0.103578,
        0.107262,
        0.101458,
        0.0932375,
        0.0853314,
        0.0760094,
        0.0673639,
        0.0614436,
        0.0574781,
        0.0534104,
        0.0513149,
        0.0495238,
        0.0481715,
        0.0469657,
        0.0460697,
        0.0457495,
        0.0461302,
        0.0503232,
        0.0507054,
        0.0469964,
        0.0473528,
        0.0465212,
        0.0471655,
        0.0486447,
        0.0511933,
        0.0544652,
        0.0554058,
        0.0551569,
        0.0538302,
        0.0556289,
        0.0551492,
        0.052394,
        0.0530292,
        0.0524475,
        0.0507947,
        0.0493728,
        0.0483326,
        0.0474512,
        0.0474028,
        0.046793,
        0.0465955,
        0.0463556,
        0.0460809,
        0.0455999,
        0.046768,
        0.0469779,
        0.0458049,
        0.0448918,
        0.0446821,
        0.0454323,
        0.0469631,
        0.0477304,
        0.0481729,
        0.0482434,
        0.0484039,
        0.0487354,
        0.0494329,
        0.0512131,
        0.0529837,
        0.052773,
        0.0526881,
        0.0522122,
        0.0510885,
        0.0504,
        0.0501716,
        0.050016,
        0.0504138,
        0.0514824,
        0.0519645,
        0.0577529,
        0.058746,
        0.0557295,
        0.0569282,
        0.0587256,
        0.0581743,
        0.0572648,
        0.0566175,
        0.056114,
        0.0553998,
        0.0552531,
        0.056458,
        0.0565674,
        0.0569579,
        0.0569691,
        0.0564523,
        0.0568301,
        0.0569702,
        0.0576991,
        0.0587104,
        0.0609603,
        0.0615702,
        0.062608,
        0.0644463,
        0.0671802,
        0.0698609,
        0.0712647,
        0.0718096,
        0.0720937,
        0.0735472,
        0.0751631,
        0.0765444,
        0.0784814,
        0.0793684,
        0.0789008,
        0.0827897,
        0.0839992,
        0.0858572,
        0.0891177,
        0.0925125,
        0.0966008,
        0.102654,
        0.111216,
        0.125623,
        0.135216,
        0.126862,
        0.13341,
        0.14942,
        0.163525,
        0.180688,
        0.195886,
        0.212227,
        0.233638,
        0.382068,
        0.331337,
        0.295202,
        0.255065,
        0.218353,
        0.19922,
        0.188419,
        0.177501,
        0.170078,
        0.165907,
        0.163028,
        0.155368,
        0.147851,
        0.138419,
        0.130144,
        0.123394,
        0.117996,
        0.113432,
        0.110447,
        0.107474,
        0.104155,
        0.101342,
        0.0997173,
        0.0991794,
        0.0998714,
        0.0999183,
        0.0974771,
        0.095463,
        0.0941589,
        0.0937933,
        0.0940873,
        0.0967568,
        0.0986881,
        0.101032,
        0.102561,
        0.103504,
        0.1031,
        0.105441,
        0.106778,
        0.105782,
        0.105879,
        0.105565,
        0.116906,
        0.118581,
        0.110053,
        0.112721,
        0.113923,
        0.115272,
        0.116711,
        0.120246,
        0.124335,
        0.13743,
        0.140139,
        0.149795,
        0.178413,
        0.173175,
        0.159129,
        0.165335,
        0.174166,
        0.188474,
        0.206625,
        0.221495,
        0.234278,
        null,
        0.105625,
        0.102328,
        0.0986066,
        0.0942333,
        0.0894262,
        0.0868289,
        0.0853837,
        0.0817289,
        0.0788616,
        0.0771528,
        0.07673,
        0.0760208,
        0.0750884,
        0.0750912,
        0.0754081,
        0.0756597,
        0.0745681,
        0.0733594,
        0.0728979,
        0.0714403,
        0.0700238,
        0.0686846,
        0.0669638,
        0.070553,
        0.0689252,
        0.06412,
        0.0642585,
        0.0638065,
        0.0628956,
        0.0635204,
        0.0642947,
        0.0723134,
        0.0719591,
        0.0640673,
        0.0627388,
        0.0620037,
        0.0619028,
        0.06113,
        0.0608056,
        0.0612116,
        0.0625964,
        0.0635893,
        0.0634337,
        0.0636115,
        0.0634563,
        0.0647089,
        0.0649994,
        0.0631215,
        0.0625876,
        0.0615321,
        0.0598413,
        0.0592016,
        0.0590954,
        0.0590243,
        0.0595794,
        0.059976,
        0.0599903,
        0.0606351,
        0.0617814,
        0.062828,
        0.063068,
        0.0625001,
        0.0618173,
        0.0625483,
        0.0630325,
        0.0634287,
        0.0637834,
        0.0642236,
        0.0678032,
        0.0682079,
        0.0660099,
        0.0677485,
        0.0676921,
        0.0677632,
        0.0684351,
        0.0690879,
        0.0705648,
        0.0721768,
        0.0739281,
        0.0740923,
        0.0732133,
        0.071648,
        0.0697921,
        0.0690284,
        0.0678748,
        0.0672899,
        0.0662533,
        0.065373,
        0.0647442,
        0.0645851,
        0.0652694,
        0.0663929,
        0.0679422,
        0.0699218,
        0.0721719,
        0.0733094,
        0.0767481,
        0.0793263,
        0.0736658,
        0.0737646,
        0.0756431,
        0.0772342,
        0.0789252,
        0.0812939,
        0.084275,
        0.0879015,
        0.0934823,
        0.0986247,
        0.103266,
        0.107949,
        0.114735,
        0.122966,
        0.133312,
        0.143841,
        0.157508,
        0.185062,
        0.195873,
        0.281439,
        0.238792,
        0.210176,
        0.186118,
        0.162845,
        0.147779,
        0.136113,
        0.126934,
        0.121673,
        0.117679,
        0.113117,
        0.108769,
        0.109924,
        0.107374,
        0.10998,
        0.107564,
        0.103545,
        0.101405,
        0.101824,
        0.10103,
        0.0987014,
        0.0972557,
        0.0954122,
        0.0943049,
        0.0939158,
        0.0934495,
        0.0980085,
        0.0938399,
        0.0879903,
        0.0870944,
        0.0876423,
        0.0886853,
        0.0899741,
        0.0902527,
        0.0909852,
        0.0915457,
        0.0933959,
        0.0938838,
        0.0943512,
        0.0959023,
        0.0966722,
        0.0985135,
        0.101731,
        0.105315,
        0.107218,
        0.110081,
        0.114274,
        0.117449,
        0.121803,
        0.127712,
        0.134181,
        0.142379,
        0.152024,
        0.16523,
        0.176719,
        0.187798,
        0.205212,
        0.251156,
        0.277545,
        0.298705,
        0.320118,
        0.233158,
        0.209812,
        0.199493,
        0.18673,
        0.169823,
        0.15949,
        0.152654,
        0.142185,
        0.133526,
        0.127124,
        0.122357,
        0.119542,
        0.115828,
        0.112162,
        0.120267,
        0.116041,
        0.106669,
        0.106233,
        0.104353,
        0.104115,
        0.103336,
        0.101668,
        0.0988243,
        0.0968763,
        0.0952629,
        0.0956688,
        0.0969774,
        0.0991209,
        0.101265,
        0.103828,
        0.1084,
        0.112795,
        0.116003,
        0.120047,
        0.126842,
        0.133606,
        0.14166,
        0.15564,
        0.172784,
        0.200406,
        0.237895,
        0.294317,
        0.239965,
        0.205771,
        0.179061,
        0.155468,
        0.142983,
        0.141265,
        0.122009,
        0.109731,
        0.105667,
        0.100219,
        0.0958339,
        0.0927386,
        0.0890253,
        0.0866513,
        0.0828387,
        0.0788848,
        0.0758926,
        0.0723764,
        0.069311,
        0.0669569,
        0.064923,
        0.0631949,
        0.061626,
        0.0609465,
        0.0602848,
        0.0595246,
        0.0583256,
        0.0572654,
        0.0571005,
        0.057381,
        0.0579313,
        0.057996,
        0.0577122,
        0.0574165,
        0.0619945,
        0.0613208,
        0.0587245,
        0.0587266,
        0.0580673,
        0.0570428,
        0.0557809,
        0.0545567,
        0.0535148,
        0.0520205,
        0.0516173,
        0.0507784,
        0.0503761,
        0.050291,
        0.0503807,
        0.0506094,
        0.0503782,
        0.0497592,
        0.0489723,
        0.0487472,
        0.0486508,
        0.0483208,
        0.0477579,
        0.0482579,
        0.0490178,
        0.0484587,
        0.0483975,
        0.0481895,
        0.0482705,
        0.0478785,
        0.0482875,
        0.0468369,
        0.0454066,
        0.0447692,
        0.0448628,
        0.0449917,
        0.0445269,
        0.0443242,
        0.0441923,
        0.0447349,
        0.0450979,
        0.0457301,
        0.0482277,
        0.0469649,
        0.0461043,
        0.0465875,
        0.0476535,
        0.0490001,
        0.0495255,
        0.0502322,
        0.0502935,
        0.0501431,
        0.0499899,
        0.0489907,
        0.0486359,
        0.0479266,
        0.0476704,
        0.0474503,
        0.0475624,
        0.0473259,
        0.0469325,
        0.0471124,
        0.0473038,
        0.0473398,
        0.0474031,
        0.0474977,
        0.047507,
        0.0481237,
        0.048363,
        0.0478267,
        0.0515519,
        0.0541629,
        0.0500416,
        0.0508542,
        0.0501769,
        0.0508411,
        0.0516248,
        0.0536089,
        0.0560911,
        0.0623209,
        0.0646484,
        0.0615266,
        0.0630484,
        0.0640401,
        0.0641237,
        0.0639029,
        0.0634084,
        0.0624579,
        0.0618982,
        0.0617432,
        0.0622799,
        0.0629487,
        0.0644047,
        0.0668558,
        0.0695545,
        0.0725176,
        0.0761732,
        0.0794875,
        0.0830348,
        0.0870274,
        0.0893549,
        0.0922828,
        0.097144,
        0.104763,
        0.112914,
        0.124871,
        0.13647,
        0.153505,
        0.180429,
        0.211147,
        0.240853,
        0.19997,
        0.170067,
        0.147719,
        0.132481,
        0.122496,
        0.114096,
        0.107625,
        0.104444,
        0.099915,
        0.1005,
        0.0900008,
        0.0818537,
        0.0769898,
        0.0721641,
        0.0691109,
        0.0655538,
        0.0620512,
        0.0586715,
        0.0567694,
        0.0553671,
        0.0534961,
        0.0525221,
        0.0519331,
        0.0514483,
        0.0513304,
        0.0510549,
        0.051342,
        0.0522228,
        0.0528577,
        0.052254,
        0.0516221,
        0.0499288,
        0.0478675,
        0.0475858,
        0.0451996,
        0.0450663,
        0.0449313,
        0.0440268,
        0.0433864,
        0.0431801,
        0.0429694,
        0.0426385,
        0.0428952,
        0.0432203,
        0.0429068,
        0.0445095,
        0.0451122,
        0.0441841,
        0.043793,
        0.0433033,
        0.0429762,
        0.0434022,
        0.0439702,
        0.0444349,
        0.0456583,
        0.0463148,
        0.0475887,
        0.0475574,
        0.0468472,
        0.0454632,
        0.0442207,
        0.0445914,
        0.0421903,
        0.0412108,
        0.0407879,
        0.0404094,
        0.0402192,
        0.0399222,
        0.0395565,
        0.0393872,
        0.0394392,
        0.039066,
        0.0389216,
        0.0386162,
        0.0380875,
        0.0378902,
        0.0380545,
        0.0378958,
        0.0387155,
        0.0390679,
        0.0404868,
        0.0400217,
        0.0386576,
        0.0388866,
        0.0390499,
        0.0385609,
        0.0385829,
        0.0386487,
        0.038721,
        0.039001,
        0.0426065,
        0.0431989,
        0.0410382,
        0.0416344,
        0.0417545,
        0.0424278,
        0.0432979,
        0.0440629,
        0.0468006,
        0.0471428,
        0.0458463,
        0.047661,
        0.0489648,
        0.0490993,
        0.0502659,
        0.0510751,
        0.0507544,
        0.0501557,
        0.0493215,
        0.0482032,
        0.0474908,
        0.0466915,
        0.0459081,
        0.0455547,
        0.0454108,
        0.0454837,
        0.0457354,
        0.0462998,
        0.0469622,
        0.0469138,
        0.0465914,
        0.052975,
        0.0530888,
        0.0480478,
        0.0492639,
        0.0506857,
        0.0518339,
        0.0532313,
        0.0541968,
        0.0548483,
        0.0558981,
        0.057815,
        0.0632557,
        0.0661245,
        0.0668754,
        0.0680189,
        0.0710408,
        0.074866,
        0.0788503,
        0.0858726,
        0.0942336,
        0.118303,
        0.128004,
        0.12801,
        0.146198,
        0.173631,
        0.205998,
        0.258237,
        0.220463,
        0.186428,
        0.154761,
        0.137378,
        0.123792,
        0.113079,
        0.105265,
        0.0962441,
        0.0866866,
        0.0792048,
        0.073814,
        0.0747886,
        0.0713669,
        0.0643618,
        0.0629718,
        0.0603481,
        0.057601,
        0.054523,
        0.0531551,
        0.051953,
        0.0507219,
        0.0494993,
        0.0483669,
        0.0472658,
        0.0465485,
        0.0456359,
        0.0454944,
        0.0450641,
        0.0455113,
        0.046077,
        0.047087,
        0.0476651,
        0.0482888,
        0.0484921,
        0.0493748,
        0.0478218,
        0.0446974,
        0.0429629,
        0.042057,
        0.0412093,
        0.0408916,
        0.0404691,
        0.0397618,
        0.0393902,
        0.0395741,
        0.0390357,
        0.0387566,
        0.0384605,
        0.0382167,
        0.0386764,
        0.0384705,
        0.0379052,
        0.040786,
        0.0397313,
        0.0378232,
        0.0374716,
        0.0386952,
        0.0384463,
        0.0381659,
        0.038255,
        0.0380451,
        0.0379854,
        0.0379042,
        0.0374247,
        0.0373902,
        0.0370679,
        0.0371149,
        0.037148,
        0.0372854,
        0.0374585,
        0.0374384,
        0.0376847,
        0.0375442,
        0.0374624,
        0.0376377,
        0.0378384,
        0.0381334,
        0.0383912,
        0.0394281,
        0.040991,
        0.0429304,
        0.0441677,
        0.0448898,
        0.0446161,
        0.0438717,
        0.0433311,
        0.0421603,
        0.0403754,
        0.0392601,
        0.0385268,
        0.0384077,
        0.0378411,
        0.0378667,
        0.0378179,
        0.0371687,
        0.0400186,
        0.0410511,
        0.0378068,
        0.0376331,
        0.0378588,
        0.0384983,
        0.0385142,
        0.0384534,
        0.0381297,
        0.0381386,
        0.0394501,
        0.0382861,
        0.0379277,
        0.0380005,
        0.0381889,
        0.0388358,
        0.0390325,
        0.039098,
        0.0393863,
        0.0399721,
        0.0401198,
        0.0409277,
        0.0413904,
        0.0417293,
        0.0427061,
        0.043472,
        0.044299,
        0.0451426,
        0.0471663,
        0.0486012,
        0.05024,
        0.0522471,
        0.0543889,
        0.0579194,
        0.062661,
        0.0690679,
        0.075815,
        0.0857515,
        0.0957959,
        0.100971,
        0.101338,
        0.0971944,
        0.091587,
        0.0881682,
        0.0846314,
        0.0841007,
        0.0869382,
        0.0883493,
        0.090765,
        0.0945181,
        0.102381,
        0.114699,
        0.127062,
        0.14551,
        0.168334,
        0.203898,
        0.256949,
        0.208848,
        0.175801,
        0.150405,
        0.132954,
        0.119588,
        0.114858,
        0.106552,
        0.094888,
        0.0907115,
        0.0866996,
        0.0813709,
        0.076917,
        0.0723361,
        0.0672782,
        0.0623296,
        0.0590501,
        0.0561205,
        0.0546968,
        0.0524074,
        0.0511525,
        0.0496659,
        0.0480532,
        0.0467344,
        0.0458545,
        0.0451892,
        0.0440978,
        0.0434263,
        0.0425204,
        0.0447231,
        0.0442971,
        0.0406695,
        0.0415883,
        0.0415825,
        0.0394444,
        0.0391164,
        0.0385056,
        0.0381058,
        0.0378388,
        0.0375239,
        0.0370505,
        0.0364375,
        0.036667,
        0.0373896,
        0.0368327,
        0.0361119,
        0.0360658,
        0.0382596,
        0.038578,
        0.0365002,
        0.0368234,
        0.0373512,
        0.0374832,
        0.0378937,
        0.0380695,
        0.0390857,
        0.0397909,
        0.0405294,
        0.0427081,
        0.0465394,
        0.0516197,
        0.0504113,
        0.0511672,
        0.0512181,
        0.0505975,
        0.0491693,
        0.0473875,
        0.0455223,
        0.0440559,
        0.0432473,
        0.0431739,
        0.0428973,
        0.0425135,
        0.0419225,
        0.0413248,
        0.0406202,
        0.0396322,
        0.0383431,
        0.0379041,
        0.0383407,
        0.0372873,
        0.0365551,
        0.0361992,
        0.0357196,
        0.0356833,
        0.0358695,
        0.0376206,
        0.0428897,
        0.0418132,
        0.0374308,
        0.0367135,
        0.0360936,
        0.0357114,
        0.0350924,
        0.0350752,
        0.0349436,
        0.0349778,
        0.0352306,
        0.0384689,
        0.0385847,
        0.0356685,
        0.0358321,
        0.0362498,
        0.0367301,
        0.0372095,
        0.0380603,
        0.0390664,
        0.0402358,
        0.0405392,
        0.0415445,
        0.0426997,
        0.0443765,
        0.0468288,
        0.0488869,
        0.0491916,
        0.0491875,
        0.0479829,
        0.0470844,
        0.0466707,
        0.0462189,
        0.0454869,
        0.0485741,
        0.0481867,
        0.0498943,
        0.0499033,
        0.0444385,
        0.0448634,
        0.0476922,
        0.0482248,
        0.0468902,
        0.0517783,
        0.0524167,
        0.049992,
        0.05212,
        0.0537316,
        0.0557704,
        0.0586517,
        0.0622871,
        0.0651079,
        0.0662717,
        0.0676146,
        0.067867,
        0.0681867,
        0.068774,
        0.0712254,
        0.0745383,
        0.0785325,
        0.0834692,
        0.0879458,
        0.0944109,
        0.103269,
        0.115828,
        0.130698,
        0.148427,
        0.177414,
        0.222661,
        0.285106,
        0.215318,
        0.16862,
        0.14156,
        0.120575,
        0.106427,
        0.095771,
        0.0869364,
        0.0803767,
        0.0744782,
        0.0703827,
        0.0661309,
        0.0621891,
        0.0589836,
        0.0563306,
        0.0543348,
        0.0522749,
        0.0497626,
        0.0487299,
        0.0476419,
        0.0464012,
        0.0457317,
        0.0455234,
        0.0479498,
        0.0459147,
        0.043223,
        0.0428312,
        0.0417054,
        0.0413909,
        0.0408081,
        0.0402256,
        0.039329,
        0.0395877,
        0.0392514,
        0.0391729,
        0.0422317,
        0.0457304,
        0.0419914,
        0.040109,
        0.0406694,
        0.0412448,
        0.0422179,
        0.0425216,
        0.0428768,
        0.0420944,
        0.0402411,
        0.0391405,
        0.0385011,
        0.0379036,
        0.0373828,
        0.0368413,
        0.0367176,
        0.0366691,
        0.0367331,
        0.0370424,
        0.037171,
        0.0365797,
        0.0374339,
        0.0415972,
        0.0436842,
        0.0440555,
        0.0490001,
        0.055822,
        0.0633176,
        0.0663682,
        0.0633532,
        0.0576082,
        0.0512659,
        0.0463111,
        0.0423977,
        0.0397528,
        0.0379187,
        0.039064,
        0.0381883,
        0.0354699,
        0.035173,
        0.0351163,
        0.0348281,
        0.0343964,
        0.0342131,
        0.0343342,
        0.0347705,
        0.0366205,
        0.0368345,
        0.0348199,
        0.034727,
        0.0350802,
        0.0356623,
        0.0361566,
        0.0359392,
        0.0357934,
        0.036844,
        0.03762,
        0.0389007,
        0.0400506,
        0.0412585,
        0.0411002,
        0.0406319,
        0.0399085,
        0.0384504,
        0.0370645,
        0.0364284,
        0.035277,
        0.0349065,
        0.03456,
        0.0341708,
        0.0341677,
        0.0340087,
        0.0337314,
        0.0332253,
        0.0331312,
        0.0334293,
        0.0334526,
        0.0334078,
        0.033481,
        0.033754,
        0.0338819,
        0.0344363,
        0.0348387,
        0.0351857,
        0.0354191,
        0.0354585,
        0.0355016,
        0.0354171,
        0.0361332,
        0.0368447,
        0.0375502,
        0.0383792,
        0.0390592,
        0.0399073,
        0.0399196,
        0.0403029,
        0.0407469,
        0.040903,
        0.0419022,
        0.043369,
        0.0443276,
        0.045162,
        0.0460532,
        0.0481503,
        0.0510057,
        0.0541335,
        0.0557523,
        0.0576864,
        0.0613053,
        0.0648027,
        0.0663661,
        0.0725852,
        0.0768741,
        0.0813594,
        0.0864669,
        0.0902799,
        0.101546,
        0.103701,
        0.108723,
        0.121221,
        0.139009,
        0.161737,
        0.19835,
        0.243493,
        0.296099,
        0.21885,
        0.184019,
        0.152985,
        0.129099,
        0.111476,
        0.0991078,
        0.0892935,
        0.0823082,
        0.0759729,
        0.0709256,
        0.066498,
        0.0640089,
        0.0606446,
        0.0587347,
        0.0572983,
        0.0563435,
        0.0548726,
        0.0538442,
        0.0529993,
        0.0548124,
        0.053062,
        0.0523407,
        0.0526337,
        0.0540784,
        0.0554967,
        0.0565812,
        0.0558909,
        0.0556744,
        0.0540192,
        0.0526571,
        0.0507717,
        0.0495163,
        0.0476035,
        0.0464059,
        0.0448933,
        0.0432396,
        0.0420716,
        0.0420706,
        0.0405836,
        0.0397634,
        0.0391062,
        0.0389382,
        0.0391575,
        0.0382667,
        0.0378646,
        0.0378499,
        0.0379346,
        0.0383109,
        0.0386345,
        0.0391098,
        0.039728,
        0.0407175,
        0.0410019,
        0.0409098,
        0.0401359,
        0.039598,
        0.0384824,
        0.0371111,
        0.0361552,
        0.0358892,
        0.0419076,
        0.0410326,
        0.0346478,
        0.0349727,
        0.0348226,
        0.0353997,
        0.0375454,
        0.036891,
        0.035042,
        0.0357921,
        0.0365446,
        0.036672,
        0.0373121,
        0.0381368,
        0.0382797,
        0.0384953,
        0.0390628,
        0.0409674,
        0.0425913,
        0.0433821,
        0.0431142,
        0.0427772,
        0.0415124,
        0.0403901,
        0.0390963,
        0.0378245,
        0.0374427,
        0.0371611,
        0.0385529,
        0.0369854,
        0.0357474,
        0.0355625,
        0.0354205,
        0.0354989,
        0.0351389,
        0.0349391,
        0.0347433,
        0.0347911,
        0.0346731,
        0.0351383,
        0.0354543,
        0.0354955,
        0.0355888,
        0.0359385,
        0.0361913,
        0.0356887,
        0.0354206,
        0.0354089,
        0.0354827,
        0.0352346,
        0.0357122,
        0.035867,
        0.0363598,
        0.0358618,
        0.0360044,
        0.0391565,
        0.0390117,
        0.0371388,
        0.0373753,
        0.037958,
        0.0381026,
        0.0389643,
        0.0393825,
        0.0395027,
        0.0393961,
        0.0424385,
        0.0425599,
        0.0424038,
        0.0435614,
        0.0453896,
        0.046922,
        0.0498282,
        0.0532898,
        0.0590014,
        0.0658298,
        0.0703145,
        0.0719916,
        0.0705369,
        0.067505,
        0.0627577,
        0.0588568,
        0.0560434,
        0.054618,
        0.054076,
        0.0566433,
        0.0559337,
        0.0544432,
        0.056071,
        0.0583503,
        0.0608479,
        0.0636806,
        0.0677918,
        0.0782797,
        0.0818961,
        0.0820406,
        0.0889571,
        0.09766,
        0.108725,
        0.123073,
        0.14327,
        0.1707,
        0.213079,
        0.237566,
        0.188317,
        0.157484,
        0.148282,
        0.129142,
        0.103217,
        0.0948675,
        0.087355,
        0.0816386,
        0.0778657,
        0.0746584,
        0.0713086,
        0.0672873,
        0.0637505,
        0.0607958,
        0.0583627,
        0.0561455,
        0.0535068,
        0.0517382,
        0.0496939,
        0.0489276,
        0.0484897,
        0.0477712,
        0.0468631,
        0.0462585,
        0.0460203,
        0.0450678,
        0.0440506,
        0.042888,
        0.0418531,
        0.041223,
        0.0410336,
        0.0436564,
        0.0433078,
        0.0400969,
        0.0396634,
        0.0394362,
        0.0408745,
        0.0405325,
        0.0384868,
        0.0386781,
        0.0386273,
        0.0389365,
        0.0387173,
        0.03861,
        0.038568,
        0.0387636,
        0.0386567,
        0.0390465,
        0.0392821,
        0.0397171,
        0.039561,
        0.0391692,
        0.0385179,
        0.0387305,
        0.0389361,
        0.0386738,
        0.0385656,
        0.0384802,
        0.0388587,
        0.0385279,
        0.0391581,
        0.0395392,
        0.0407558,
        0.041484,
        0.0425977,
        0.0437369,
        0.0445083,
        0.0441004,
        0.0441668,
        0.0436582,
        0.0428589,
        0.0422319,
        0.0456451,
        0.0459915,
        0.042735,
        0.0435949,
        0.0434551,
        0.0434622,
        0.0430488,
        0.0420918,
        0.0408986,
        0.0448711,
        0.0434712,
        0.0414575,
        0.041276,
        0.0409716,
        0.0446812,
        0.0453391,
        0.0427466,
        0.0432094,
        0.043107,
        0.0431124,
        0.0431742,
        0.0431028,
        0.042701,
        0.0429326,
        0.042397,
        0.0424618,
        0.0425902,
        0.0422079,
        0.0420392,
        0.0420434,
        0.0417149,
        0.041848,
        0.0417974,
        0.04489,
        0.0463541,
        0.043933,
        0.04229,
        0.042039,
        0.0422417,
        0.042619,
        0.0428541,
        0.0430487,
        0.0433667,
        0.0463046,
        0.0463848,
        0.0474457,
        0.0463307,
        0.0482789,
        0.0493413,
        0.0510658,
        0.0527867,
        0.0531479,
        0.052839,
        0.0516844,
        0.0505104,
        0.0489389,
        0.0476884,
        0.046601,
        0.0488289,
        0.0491277,
        0.0463643,
        0.044721,
        0.0444635,
        0.0437523,
        0.0431586,
        0.0427373,
        0.0428387,
        0.047135,
        0.0468944,
        0.052175,
        0.052233,
        0.043457,
        0.0443099,
        0.0456955,
        0.047202,
        0.0483689,
        0.0487252,
        0.050428,
        0.0518091,
        0.0541321,
        0.0561384,
        0.0585459,
        0.062095,
        0.0653094,
        0.0695863,
        0.0802948,
        0.089067,
        0.0930649,
        0.104475,
        0.120017,
        0.15549,
        0.189882,
        0.211961,
        0.273406,
        0.309495,
        0.226298,
        0.176479,
        0.145458,
        0.123066,
        0.106005,
        0.0936639,
        0.084341,
        0.076594,
        0.070237,
        0.0662529,
        0.061931,
        0.0577945,
        0.0553264,
        0.0535598,
        0.0525017,
        0.0514034,
        0.0498431,
        0.0476833,
        0.0460455,
        0.0448838,
        0.044579,
        0.0435605,
        0.048192,
        0.0479551,
        0.0424945,
        0.0418399,
        0.0415626,
        0.0413276,
        0.0414509,
        0.0412886,
        0.0408572,
        0.040199,
        0.040675,
        0.0413233,
        0.041681,
        0.0418732,
        0.041992,
        0.0421935,
        0.0421821,
        0.042284,
        0.0422871,
        0.0421635,
        0.0415762,
        0.0410186,
        0.0407813,
        0.0433357,
        0.0428976,
        0.0399113,
        0.0405281,
        0.041028,
        0.041807,
        0.0423127,
        0.0431979,
        0.044289,
        0.0448166,
        0.0456844,
        0.0465143,
        0.0463195,
        0.0455485,
        0.0446314,
        0.0437291,
        0.0423108,
        0.0409065,
        0.0393351,
        0.0378699,
        0.0366156,
        0.0372064,
        0.0367797,
        0.0352599,
        0.0351831,
        0.034744,
        0.0343893,
        0.0348802,
        0.0347216,
        0.0347097,
        0.0343916,
        0.0342256,
        0.0342948,
        0.0343806,
        0.0376585,
        0.0362362,
        0.0353124,
        0.0354417,
        0.0352869,
        0.0347476,
        0.0346827,
        0.0345089,
        0.0344817,
        0.0340055,
        0.0337235,
        0.0337904,
        0.0339173,
        0.0341559,
        0.0345921,
        0.0345901,
        0.0347351,
        0.0349085,
        0.034987,
        0.0348644,
        0.0354541,
        0.0359314,
        0.0363837,
        0.0368173,
        0.0371171,
        0.0377294,
        0.0385413,
        0.0387927,
        0.039188,
        0.0391487,
        0.0393217,
        0.039977,
        0.0408676,
        0.0417661,
        0.0433025,
        0.0439062,
        0.0436993,
        0.044074,
        0.0431445,
        0.0416599,
        0.0408215,
        0.0453133,
        0.045133,
        0.0449701,
        0.0451914,
        0.0408563,
        0.0401718,
        0.0398771,
        0.0398391,
        0.0437342,
        0.0432695,
        0.0385503,
        0.0386671,
        0.0388123,
        0.0390574,
        0.0390172,
        0.0388058,
        0.0396656,
        0.0397622,
        0.0427722,
        0.0429734,
        0.0399848,
        0.0403296,
        0.0402787,
        0.040645,
        0.0414993,
        0.0420678,
        0.043094,
        0.0443118,
        0.0449271,
        0.045303,
        0.0471947,
        0.0486231,
        0.0498334,
        0.0509535,
        0.0530035,
        0.0550651,
        0.0577159,
        0.0603699,
        0.0627098,
        0.0668723,
        0.0702094,
        0.0749601,
        0.0821,
        0.0895128,
        0.0995745,
        0.112246,
        0.132403,
        0.163366,
        0.200396,
        0.277037,
        0.209024,
        0.166353,
        0.136105,
        0.116225,
        0.103339,
        0.0922599,
        0.0846907,
        0.0789091,
        0.0735281,
        0.0696116,
        0.0664924,
        0.0632098,
        0.0584885,
        0.0551156,
        0.0535133,
        0.0527476,
        0.0513313,
        0.0495718,
        0.048266,
        0.0468751,
        0.0458122,
        0.0450996,
        0.0446875,
        0.0445605,
        0.0441593,
        0.048312,
        0.0460932,
        0.0432823,
        0.0434902,
        0.04419,
        0.0432584,
        0.0421035,
        0.0416728,
        0.0412638,
        0.0416817,
        0.0423498,
        0.042257,
        0.0419532,
        0.0421478,
        0.0421591,
        0.0417349,
        0.0417124,
        0.0416778,
        0.0423167,
        0.0431343,
        0.0446512,
        0.0460338,
        0.046531,
        0.046621,
        0.0460756,
        0.0455956,
        0.0453254,
        0.0446306,
        0.0438296,
        0.0433904,
        0.0428417,
        0.0426282,
        0.0425,
        0.042593,
        0.0425816,
        0.0424024,
        0.0422952,
        0.0419609,
        0.0422283,
        0.0423081,
        0.042402,
        0.0424419,
        0.0425767,
        0.0426154,
        0.0484183,
        0.0494678,
        0.0458573,
        0.0453883,
        0.0465544,
        0.0480367,
        0.0519147,
        0.0531218,
        0.0504369,
        0.0519476,
        0.0528007,
        0.0534456,
        0.0539601,
        0.0546803,
        0.0538209,
        0.0525979,
        0.0530614,
        0.0529145,
        0.0532544,
        0.053988,
        0.0550594,
        0.0555104,
        0.0569756,
        0.0585741,
        0.0603347,
        0.063029,
        0.0649122,
        0.0683377,
        0.072928,
        0.077672,
        0.0819868,
        0.0867658,
        0.0943737,
        0.107437,
        0.122365,
        0.143352,
        0.171464,
        0.215963,
        0.320584,
        0.24997,
        0.202612,
        0.167033,
        0.13928,
        0.122559,
        0.11128,
        0.101576,
        0.0919792,
        0.0863732,
        0.0832596,
        0.0781032,
        0.0731652,
        0.0711166,
        0.0692338,
        0.0676345,
        0.0663928,
        0.0679162,
        0.0651067,
        0.064329,
        0.0664797,
        0.068512,
        0.0692988,
        0.0697138,
        0.0691469,
        0.0665129,
        0.0633624,
        0.0605724,
        0.0597641,
        0.0585661,
        0.0582229,
        0.0567731,
        0.0552322,
        0.0553067,
        0.0560134,
        0.0573888,
        0.057841,
        0.0587589,
        0.0612803,
        0.0630227,
        0.0640199,
        0.0662192,
        0.0693948,
        0.0739918,
        0.0805375,
        0.0871893,
        0.0956836,
        0.105879,
        0.117881,
        0.135773,
        0.15802,
        0.190181,
        0.241842,
        0.259224,
        0.195996,
        0.159558,
        0.132144,
        0.112697,
        0.100493,
        0.0917056,
        0.0842392,
        0.0780009,
        0.073184,
        0.0673295,
        0.0645418,
        0.0631544,
        0.0612357,
        0.0593874,
        0.0578773,
        0.0572147,
        0.0557757,
        0.0543852,
        0.0541929,
        0.0535507,
        0.0523919,
        0.051222,
        0.0494826,
        0.0484861,
        0.0478209,
        0.0471703,
        0.0465157,
        0.0462091,
        0.0465676,
        0.0463642,
        0.0460187,
        0.0459366,
        0.0458797,
        0.046002,
        0.0456908,
        0.0456175,
        0.0454618,
        0.0452477,
        0.0455746,
        0.0464203,
        0.0465762,
        0.0465758,
        0.0468311,
        0.0472887,
        0.047169,
        0.0467102,
        0.04639,
        0.0456627,
        0.0446448,
        0.0437657,
        0.0426956,
        0.0418602,
        0.0416016,
        0.0417405,
        0.0418608,
        0.042084,
        0.0423,
        0.0426462,
        0.0431175,
        0.0435759,
        0.0435159,
        0.0436443,
        0.0433128,
        0.0428373,
        0.0425602,
        0.0425827,
        0.0420593,
        0.0425728,
        0.0420168,
        0.0421966,
        0.0421361,
        0.041874,
        0.0414667,
        0.0419157,
        0.0422686,
        0.0420903,
        0.0419575,
        0.0417665,
        0.0419305,
        null,
        0.0776789,
        0.080043,
        0.0817302,
        0.0815578,
        0.0821999,
        0.0844766,
        0.08686,
        0.0897316,
        0.0926619,
        0.0959396,
        0.104094,
        0.107004,
        0.107189,
        0.115593,
        0.126392,
        0.139775,
        0.161345,
        0.194182,
        0.239989,
        0.201829,
        0.164414,
        0.141064,
        0.121071,
        0.108425,
        0.100901,
        0.0933681,
        0.0873269,
        0.082959,
        0.0805854,
        0.0784086,
        0.0763894,
        0.0742671,
        0.072589,
        0.0714132,
        0.0710107,
        0.0714318,
        0.071848,
        0.0700002,
        0.0692817,
        0.068642,
        0.0678787,
        0.0674497,
        0.0667877,
        0.0665717,
        0.0669494,
        0.0672155,
        0.0671099,
        0.0668998,
        0.067408,
        0.0683414,
        0.0691351,
        0.0692638,
        0.0706821,
        0.072407,
        0.0728263,
        0.072248,
        0.0713367,
        0.0703432,
        0.0688569,
        0.0666104,
        0.0657956,
        0.0648518,
        0.0639134,
        0.0636407,
        0.0634111,
        0.0626711,
        0.0621315,
        0.0613499,
        0.0609514,
        0.0615157,
        0.0621457,
        0.0646375,
        0.0657561,
        0.0617367,
        0.0621296,
        0.0629704,
        0.0633228,
        0.0643315,
        0.0641704,
        0.063953,
        0.0637978,
        0.0638321,
        0.0638431,
        0.0642417,
        0.06498,
        0.0654496,
        0.0656244,
        0.0662599,
        0.0668586,
        0.0673608,
        0.0683395,
        0.0697486,
        0.0698047,
        0.0704292,
        0.0709332,
        0.0714671,
        0.071428,
        0.0720775,
        0.0734665,
        0.0744652,
        0.0754401,
        0.0773068,
        0.0782357,
        0.0779781,
        0.0780182,
        0.0787123,
        0.0802176,
        0.0824845,
        0.0846815,
        0.0868834,
        0.0869088,
        0.0874672,
        0.0873459,
        0.0884344,
        0.089504,
        0.0889131,
        0.0901697,
        0.0910716,
        0.0894277,
        0.090294,
        0.0915702,
        0.0922395,
        0.0915393,
        0.0918072,
        0.0941973,
        0.0965326,
        0.0980524,
        0.100739,
        0.104129,
        0.105882,
        0.106081,
        0.107852,
        0.112506,
        0.1157,
        0.118207,
        0.122086,
        0.129143,
        0.134929,
        0.138886,
        0.14573,
        0.151105,
        0.157811,
        0.16579,
        0.177609,
        0.192509,
        0.208121,
        0.225019,
        null,
        0.251048,
        0.229189,
        0.216365,
        0.20247,
        0.193723,
        0.18514,
        0.170207,
        0.160707,
        0.154268,
        0.147866,
        0.141831,
        0.134874,
        0.129543,
        0.123425,
        0.120273,
        0.117123,
        0.112674,
        0.109014,
        0.107407,
        0.104122,
        0.102149,
        0.100352,
        0.109537,
        0.105804,
        0.0936907,
        0.0914773,
        0.0878617,
        0.084891,
        0.0824024,
        0.0822494,
        0.0814889,
        0.0807769,
        0.078879,
        0.0770043,
        0.0760894,
        0.0758898,
        0.0752645,
        0.0742361,
        0.0727506,
        0.0721365,
        0.0711343,
        0.0711392,
        0.0805948,
        0.0818593,
        0.072788,
        0.0715212,
        0.0705119,
        0.0693006,
        0.0695341,
        0.06956,
        0.0694516,
        0.0691842,
        0.0673969,
        0.0665436,
        0.0658982,
        0.064728,
        0.0639353,
        0.0628474,
        0.0617475,
        0.061043,
        0.0608185,
        0.0630608,
        0.06194,
        0.0598676,
        0.0580862,
        0.0568293,
        0.0565421,
        0.0557977,
        0.0549856,
        0.0544205,
        0.0548676,
        0.0573459,
        0.0573332,
        0.0539147,
        0.0528949,
        0.0526352,
        0.0532507,
        0.0535232,
        0.0529018,
        0.0524355,
        0.0524206,
        0.0512686,
        0.0509392,
        0.0519792,
        0.0520393,
        0.05135,
        0.0516429,
        0.0517612,
        0.0520427,
        0.052237,
        0.0519097,
        0.0516844,
        0.0515825,
        0.052397,
        0.0535198,
        0.0542464,
        0.0548072,
        0.0554292,
        0.0561974,
        0.0562263,
        0.0563499,
        0.057468,
        0.0633159,
        0.0653815,
        0.063501,
        0.0660677,
        0.0687561,
        0.072355,
        0.0807382,
        0.0858224,
        0.0916388,
        0.0999865,
        0.113325,
        0.135067,
        0.17968,
        0.217314,
        0.255444,
        0.197206,
        0.153979,
        0.123826,
        0.104243,
        0.0913996,
        0.0819909,
        0.0750435,
        0.069828,
        0.065042,
        0.0608122,
        0.0581374,
        0.0561646,
        0.0547603,
        0.0527746,
        0.0515871,
        0.0508701,
        0.0499545,
        0.0486248,
        0.047722,
        0.0470448,
        0.0470042,
        0.050153,
        0.0483003,
        0.0459709,
        0.0453545,
        0.044638,
        0.0439478,
        0.0435623,
        0.0433797,
        0.0435718,
        0.0433037,
        0.0433292,
        0.0431005,
        0.042785,
        0.0426563,
        0.0427343,
        0.0424469,
        0.0422916,
        0.0424634,
        0.0424752,
        0.0428112,
        0.0427339,
        0.0431171,
        0.043972,
        0.0448391,
        0.0459061,
        0.0458954,
        0.0459198,
        0.0454324,
        0.0446788,
        0.0444305,
        0.0444597,
        0.044816,
        0.0442052,
        0.043404,
        0.0427776,
        0.0423417,
        0.0422729,
        0.0419986,
        0.0416066,
        0.041137,
        0.0411847,
        0.0458483,
        0.0477419,
        0.0450185,
        0.0424216,
        0.041751,
        0.0416223,
        0.0418615,
        0.0413366,
        0.0407993,
        0.0403069,
        0.0399166,
        0.0425134,
        0.0403493,
        0.0391532,
        0.0394099,
        0.0393309,
        0.0393554,
        0.0390323,
        0.038894,
        0.0391442,
        0.0395144,
        0.0395594,
        0.0396876,
        0.0397707,
        0.0402859,
        0.0405879,
        0.041336,
        0.0414063,
        0.0406684,
        0.0416819,
        0.0416485,
        0.0425263,
        0.0424502,
        0.0401653,
        0.0402568,
        0.0402471,
        0.0400866,
        0.0397243,
        0.0399899,
        0.0402777,
        0.0403542,
        0.040304,
        0.0405932,
        0.0408861,
        0.0405363,
        0.0401505,
        0.039822,
        0.0394862,
        0.0395456,
        0.0392564,
        0.0387487,
        0.0382932,
        0.0381159,
        0.0395452,
        0.0397147,
        0.0376381,
        0.0380412,
        0.0379283,
        0.0378241,
        0.0377493,
        0.0374903,
        0.0373899,
        0.0373037,
        0.037606,
        0.0399486,
        0.0388053,
        0.0373901,
        0.0372429,
        0.0371963,
        0.0370489,
        0.0368512,
        0.0363835,
        0.0363654,
        0.0366613,
        0.0368957,
        0.0369117,
        0.0373327,
        0.0374792,
        0.0376394,
        0.0374293,
        0.0374848,
        0.0375133,
        0.0380657,
        0.0382364,
        0.0385538,
        0.0392936,
        0.0401379,
        0.0406418,
        0.0412663,
        0.0421684,
        0.0432812,
        0.0446914,
        0.047102,
        0.0498158,
        0.0517626,
        0.0556947,
        0.0611897,
        0.0673599,
        0.0769244,
        0.0903051,
        0.110479,
        0.137935,
        0.178837,
        0.182836,
        0.16489,
        0.137067,
        0.112816,
        0.0926117,
        0.0781906,
        0.0700505,
        0.062924,
        0.0579241,
        0.0540428,
        0.0525448,
        0.0483488,
        0.0464433,
        0.0455307,
        0.044494,
        0.044953,
        0.0444071,
        0.0429729,
        0.0423837,
        0.0420681,
        0.0420088,
        0.0424237,
        0.0419113,
        0.0411706,
        0.0406917,
        0.0407007,
        0.0409135,
        0.0445768,
        0.0459768,
        0.0440222,
        0.0446856,
        0.0445247,
        0.0437806,
        0.0438961,
        0.0436807,
        0.0434585,
        0.0433912,
        0.0429822,
        0.0420899,
        0.0422645,
        0.0419211,
        0.0415501,
        0.0416503,
        0.0419157,
        0.0422611,
        0.0425128,
        0.0423841,
        0.042334,
        0.0416657,
        0.0416647,
        0.0423368,
        0.04299,
        0.0433888,
        0.0444101,
        0.0454073,
        0.0464996,
        0.0465054,
        0.0472491,
        0.0473627,
        0.0472328,
        0.0474623,
        0.0478499,
        0.0480175,
        0.0487158,
        0.0495548,
        0.0502302,
        0.0509935,
        0.0517447,
        0.0521226,
        0.0519377,
        0.0519673,
        0.0549959,
        0.0552071,
        0.0553051,
        0.0570562,
        0.0597736,
        0.061282,
        0.0615374,
        0.0624931,
        0.0641215,
        0.0672411,
        0.0704284,
        0.073439,
        0.0786754,
        0.0876928,
        0.0925339,
        0.0984623,
        0.10359,
        0.107813,
        0.119749,
        0.141542,
        0.160492,
        0.184538,
        0.23214,
        0.302775,
        0.375095,
        0.291193,
        0.23833,
        0.192878,
        0.165498,
        0.148223,
        0.138518,
        0.13642,
        0.126821,
        0.110472,
        0.101968,
        0.107484,
        0.105247,
        0.102424,
        0.100513,
        0.100634,
        0.0964695,
        0.0927771,
        0.0927481,
        0.0933145,
        0.0983595,
        0.0951788,
        0.0923584,
        0.101144,
        0.105368,
        0.103488,
        0.0941573,
        0.0974967,
        0.0993683,
        0.0971096,
        0.0963347,
        0.0982407,
        0.0992788,
        0.101196,
        0.10064,
        0.0978991,
        0.0948793,
        0.0909466,
        0.0860184,
        0.0789063,
        0.0705488,
        0.062837,
        0.0572033,
        0.0533799,
        0.0505261,
        0.0493117,
        0.0491905,
        0.0510199,
        0.0501403,
        0.0489825,
        0.0505288,
        0.0489954,
        0.0480207,
        0.0490086,
        0.0509816,
        0.0547374,
        0.0602384,
        0.0665929,
        0.0734199,
        0.0842569,
        0.0984285,
        0.110898,
        0.114302,
        0.107361,
        0.093361,
        0.0795938,
        0.0687283,
        0.0609699,
        0.0558725,
        0.052122,
        0.0483935,
        0.0455817,
        0.0438577,
        0.042651,
        0.041326,
        0.0409577,
        0.0403841,
        0.039326,
        0.0382093,
        0.0377571,
        0.0372677,
        0.0369937,
        0.0361846,
        0.035785,
        0.0371585,
        0.0366244,
        0.0357494,
        0.0352451,
        0.0350407,
        0.0347781,
        0.0340257,
        0.0338041,
        0.03419,
        0.0379427,
        0.0377434,
        0.033394,
        0.033448,
        0.0336646,
        0.0337311,
        0.0335074,
        0.0330504,
        0.032742,
        0.0335772,
        0.0334259,
        0.0339339,
        0.0340085,
        0.031586,
        0.0336906,
        0.0340006,
        0.031683,
        0.0312863,
        0.0313972,
        0.0313751,
        0.0313917,
        0.0314244,
        0.0314357,
        0.0314818,
        0.0312439,
        0.0313021,
        0.0316683,
        0.0315625,
        0.0317118,
        0.0319277,
        0.0321256,
        0.0323,
        0.032313,
        0.0326415,
        0.0327998,
        0.0332772,
        0.0334231,
        0.033451,
        0.0337588,
        0.0338324,
        0.0333801,
        0.0335951,
        0.0338125,
        0.0338271,
        0.0356282,
        0.0355073,
        0.0346047,
        0.034071,
        0.0339749,
        0.0336729,
        0.0332628,
        0.0326912,
        0.0335097,
        0.0321515,
        0.0318193,
        0.0318315,
        0.0345462,
        0.0340978,
        0.0314975,
        0.0312519,
        0.0312429,
        0.0309776,
        0.0311466,
        0.0308583,
        0.0308852,
        0.0307263,
        0.0308679,
        0.0307653,
        0.0306383,
        0.0303931,
        0.0302556,
        0.0299306,
        0.0303191,
        0.0304599,
        0.0307455,
        0.0308545,
        0.0305913,
        0.0298683,
        0.0296848,
        0.0296379,
        0.0298577,
        0.0297276,
        0.0299237,
        0.0300039,
        0.0301487,
        0.0300352,
        0.0302079,
        0.0301676,
        0.030227,
        0.0302674,
        0.0306131,
        0.0309682,
        0.0307431,
        0.0309404,
        0.0311397,
        0.0317502,
        0.0322409,
        0.0324398,
        0.0326858,
        0.0323645,
        0.0320545,
        0.0321381,
        0.0319547,
        0.0319006,
        0.0325283,
        0.0322567,
        0.0316194,
        0.031518,
        0.0325184,
        0.0325478,
        0.0312645,
        0.0317301,
        0.0320187,
        0.0323675,
        0.032553,
        0.0325758,
        0.0327647,
        0.0334511,
        0.0338088,
        0.0337462,
        0.0330384,
        0.0328751,
        0.033161,
        0.0342323,
        0.0344156,
        0.0350805,
        0.0357355,
        0.0366236,
        0.0394069,
        0.0388098,
        0.0377997,
        0.0384791,
        0.0394703,
        0.0407016,
        0.0424868,
        0.0453606,
        0.0497261,
        0.0543725,
        0.0611777,
        0.0691144,
        0.0737428,
        0.0726978,
        0.0691445,
        0.0621885,
        0.055868,
        0.0500921,
        0.0461948,
        0.043295,
        0.0411598,
        0.0416578,
        0.0406747,
        0.0387626,
        0.0381564,
        0.0375291,
        0.036694,
        0.035901,
        0.035587,
        0.0351854,
        0.0350207,
        0.0346004,
        0.0348211,
        0.037574,
        0.0377253,
        0.0349685,
        0.0352998,
        0.0350092,
        0.0352502,
        0.0353844,
        0.0358587,
        0.0360774,
        0.0362558,
        0.0363478,
        0.0354258,
        0.0344661,
        0.0338979,
        0.0333667,
        0.0327992,
        0.0321753,
        0.0316989,
        0.0314105,
        0.0310436,
        0.0306763,
        0.0309688,
        0.030597,
        0.0303438,
        0.0300749,
        0.0303738,
        0.0307242,
        0.0310993,
        0.0311241,
        0.0309338,
        0.031041,
        0.0309721,
        0.0306221,
        0.0302797,
        0.0305152,
        0.0302741,
        0.0309072,
        0.0305628,
        0.030037,
        0.0341763,
        0.0334974,
        0.0301938,
        0.0300262,
        0.0298615,
        0.0298136,
        0.0297333,
        0.0302779,
        0.0312092,
        0.03148,
        0.0317068,
        0.0318726,
        0.0319722,
        0.0318485,
        0.0320396,
        0.0317814,
        0.031712,
        0.0319577,
        0.0313512,
        0.0311341,
        0.0312734,
        0.0314166,
        0.0319773,
        0.0332098,
        0.0319313,
        0.0315755,
        0.0318666,
        0.0315004,
        0.0318635,
        0.0318736,
        0.0318439,
        0.0317088,
        0.0314586,
        0.0313566,
        0.0314284,
        0.0313235,
        0.0314266,
        0.0313932,
        0.0316863,
        0.0329661,
        0.0322634,
        0.0304774,
        0.030853,
        0.030564,
        0.0300536,
        0.0299386,
        0.0303784,
        0.0304753,
        0.030849,
        0.030829,
        0.0307873,
        0.0305521,
        0.0306635,
        0.0310072,
        0.0311035,
        0.0315299,
        0.0317479,
        0.032059,
        0.0321161,
        0.0325102,
        0.0350903,
        0.0342474,
        0.0330503,
        0.0333564,
        0.0338838,
        0.0337934,
        0.0336884,
        0.0334673,
        0.0337757,
        0.0343249,
        0.0368352,
        0.0363776,
        0.0347742,
        0.0353907,
        0.0357032,
        0.0365045,
        0.0372626,
        0.0389531,
        0.0397467,
        0.0403337,
        0.041766,
        0.0436317,
        0.0511797,
        0.0540139,
        0.0512925,
        0.0547881,
        0.0583775,
        0.0636453,
        0.0688812,
        0.0743932,
        0.0826041,
        0.0923511,
        0.105936,
        0.125741,
        0.148102,
        0.172687,
        0.19966,
        0.249554,
        0.205387,
        0.18495,
        0.158871,
        0.132847,
        0.112714,
        0.0977025,
        0.0880602,
        0.081175,
        0.0752634,
        0.0709189,
        0.0683469,
        0.0674623,
        0.0665879,
        0.073119,
        0.0755323,
        0.0713217,
        0.0699237,
        0.0699946,
        0.0677605,
        0.0561661,
        0.0489986,
        0.0454339,
        0.0427185,
        0.0403868,
        0.0386773,
        0.0375291,
        0.0363557,
        0.0358291,
        0.0349788,
        0.034372,
        0.0336044,
        0.0333776,
        0.0325394,
        0.0325298,
        0.0339325,
        0.0343492,
        0.0328486,
        0.0327208,
        0.032096,
        0.0318633,
        0.032183,
        0.0324978,
        0.0320491,
        0.0316429,
        0.0323075,
        0.0321722,
        0.0312003,
        0.0310051,
        0.0309684,
        0.0312213,
        0.0312108,
        0.0336176,
        0.0334301,
        0.0316557,
        0.031192,
        0.030945,
        0.0306519,
        0.0304398,
        0.0303531,
        0.0299848,
        0.030208,
        0.0306561,
        0.0306388,
        0.0327634,
        0.0325734,
        0.0305009,
        0.030266,
        0.0301246,
        0.0300088,
        0.0303213,
        0.0310022,
        0.0312124,
        0.0316733,
        0.0320578,
        0.0325174,
        0.0329494,
        0.0325907,
        0.0319911,
        0.0320984,
        0.0321924,
        0.0321149,
        0.0315288,
        0.0313406,
        0.0307531,
        0.0300268,
        0.0296053,
        0.029172,
        0.0291255,
        0.0292495,
        0.0307624,
        0.0303445,
        0.0289453,
        0.0287525,
        0.0285777,
        0.0286728,
        0.0290129,
        0.029196,
        0.0296302,
        0.0299222,
        0.0300036,
        0.0306092,
        0.030324,
        0.0296174,
        0.0294768,
        0.0292793,
        0.0293765,
        0.0294911,
        0.0294972,
        0.0294416,
        0.0295844,
        0.029612,
        0.029716,
        0.0298411,
        0.0299137,
        0.0300539,
        0.030399,
        0.0304144,
        0.0309442,
        0.0310556,
        0.0313712,
        0.0306539,
        0.0303818,
        0.0298742,
        0.0297051,
        0.0319874,
        0.0319692,
        0.0293911,
        0.0294829,
        0.0297856,
        0.0293883,
        0.0300018,
        0.0299384,
        0.0293903,
        0.029254,
        0.0290842,
        0.0293618,
        0.0293339,
        0.0293461,
        0.0291433,
        0.0292138,
        0.0328038,
        0.0333485,
        0.0293761,
        0.0290744,
        0.0288622,
        0.0284944,
        0.0288843,
        0.0308882,
        0.0312589,
        0.0290976,
        0.0288896,
        0.0290963,
        0.0293143,
        0.0290737,
        0.0290958,
        0.0294191,
        0.0297055,
        0.0300609,
        0.0315927,
        0.0315871,
        0.0313712,
        0.0312632,
        0.0312514,
        0.0317455,
        0.0339626,
        0.0339429,
        0.0340376,
        0.0321608,
        0.0317945,
        0.0319494,
        0.0340698,
        0.0339925,
        0.0320594,
        0.0320151,
        0.0320218,
        0.0324313,
        0.0325318,
        0.0327759,
        0.0328826,
        0.033346,
        0.0337628,
        0.0343769,
        0.0351412,
        0.0361732,
        0.036933,
        0.0385749,
        0.0406704,
        0.0425567,
        0.0453421,
        0.0506586,
        0.0533172,
        0.0557552,
        0.0555554,
        0.0544446,
        0.0507643,
        0.0470703,
        0.0445529,
        0.0427182,
        0.0411986,
        0.0395526,
        0.0376884,
        0.0369722,
        0.0359109,
        0.0353425,
        0.0346601,
        0.0361463,
        0.0354224,
        0.0334998,
        0.0330703,
        0.0325836,
        0.0326029,
        0.0318583,
        0.031459,
        0.0313319,
        0.0312093,
        0.0311446,
        0.0308614,
        0.0309824,
        0.0306207,
        0.0308371,
        0.0305018,
        0.0308812,
        0.0344006,
        0.0340684,
        0.0304195,
        0.0304025,
        0.0302051,
        0.0303427,
        0.0298819,
        0.0303167,
        0.0304604,
        0.0320311,
        0.0316629,
        0.0304595,
        0.0301642,
        0.0304488,
        0.0304221,
        0.0311702,
        0.030865,
        0.0309046,
        0.0322675,
        0.0313537,
        0.0314702,
        0.0330204,
        0.0325609,
        0.0322591,
        0.0325155,
        0.0330455,
        0.0333554,
        0.0333396,
        0.0326389,
        0.0323776,
        0.0317382,
        0.0315733,
        0.0313033,
        0.0312324,
        0.0307665,
        0.0309035,
        0.0309548,
        0.0308523,
        0.0305734,
        0.0306619,
        0.0303538,
        0.0305999,
        0.030424,
        0.0305597,
        0.0304404,
        0.0306996,
        0.0319245,
        0.030984,
        0.0300987,
        0.0299212,
        0.0297888,
        0.0301679,
        0.0300819,
        0.0299426,
        0.0323938,
        0.0321941,
        0.0297471,
        0.0295524,
        0.0293003,
        0.0309823,
        0.0310673,
        0.0312827,
        0.0317085,
        0.0301284,
        0.0298928,
        0.0298348,
        0.0297005,
        0.0311927,
        0.0320813,
        0.0297485,
        0.0298223,
        0.0296972,
        0.0297009,
        0.0296544,
        0.02995,
        0.0299559,
        0.0299581,
        0.0298338,
        0.0298097,
        0.0303625,
        0.0308313,
        0.0311536,
        0.0308052,
        0.0326549,
        0.0319903,
        0.0309738,
        0.0336803,
        0.0328386,
        0.0310306,
        0.0307419,
        0.0305974,
        0.0307687,
        0.0319927,
        0.0311714,
        0.0303777,
        0.0311657,
        0.0310305,
        0.0305465,
        0.0337264,
        0.0337135,
        0.0301297,
        0.0301865,
        0.030088,
        0.0298683,
        0.0330407,
        0.0329585,
        0.0296531,
        0.0298358,
        0.0300416,
        0.0303332,
        0.0308196,
        0.031298,
        0.0317295,
        0.0316626,
        0.0311033,
        0.0307648,
        0.0300945,
        0.0305228,
        0.0305761,
        0.0304009,
        0.0303067,
        0.0322072,
        0.0332016,
        0.0324691,
        0.0307365,
        0.0309278,
        0.0309389,
        0.0310042,
        0.0306241,
        0.0308343,
        0.0305985,
        0.0307749,
        0.0306456,
        0.0306594,
        0.0308118,
        0.031162,
        0.0313597,
        0.0318105,
        0.0324564,
        0.0338284,
        0.0381308,
        0.0378441,
        0.0365944,
        0.0385296,
        0.0401277,
        0.041833,
        0.0434509,
        0.0443401,
        0.0443807,
        0.0433923,
        0.0420348,
        0.0413577,
        0.0401342,
        0.0402588,
        0.0408747,
        0.0419453,
        0.0416531,
        0.0411554,
        0.0401351,
        0.0388976,
        0.0373367,
        0.0361525,
        0.0344878,
        0.0335307,
        0.0328081,
        0.0327796,
        0.0323763,
        0.0322047,
        0.032046,
        0.0318516,
        0.0316002,
        0.0317304,
        0.0313793,
        0.031007,
        0.0310165,
        0.0311665,
        0.0306792,
        0.0305633,
        0.0305433,
        0.0304864,
        0.030913,
        0.0372644,
        0.0359403,
        0.0316985,
        0.0314229,
        0.0311501,
        0.0308064,
        0.0308006,
        0.0307575,
        0.0311798,
        0.0310256,
        0.0309951,
        0.0315123,
        0.0345979,
        0.0333349,
        0.0325698,
        0.0328441,
        0.0330976,
        0.033282,
        0.0331002,
        0.0335563,
        0.033566,
        0.0330163,
        0.0325748,
        0.0328536,
        0.0322846,
        0.0319496,
        0.0326684,
        0.0323524,
        0.0326468,
        0.0325741,
        0.0323578,
        0.0320769,
        0.0320462,
        0.0320895,
        0.0325174,
        0.0329221,
        0.0326595,
        0.0326336,
        0.0329926,
        0.0334241,
        0.0337274,
        0.0336888,
        0.0340487,
        0.034605,
        0.0356593,
        0.0364063,
        0.0372717,
        0.0381184,
        0.038167,
        0.0378821,
        0.0378818,
        0.0378313,
        0.0369987,
        0.0364358,
        0.0355357,
        0.0372495,
        0.0368613,
        0.0335986,
        0.0330985,
        0.0335595,
        0.0327835,
        0.0323538,
        0.0322741,
        0.0334987,
        0.0326849,
        0.0326615,
        0.032738,
        0.0330183,
        0.0335634,
        0.034516,
        0.0346887,
        0.0356673,
        0.0401446,
        0.0424907,
        0.0429734,
        0.0458205,
        0.0468406,
        0.0478374,
        0.0517827,
        0.0507632,
        0.0453274,
        0.0423726,
        0.0403123,
        0.0382294,
        0.0374576,
        0.03635,
        0.0360494,
        0.035142,
        0.0351113,
        0.0348952,
        0.0366363,
        0.0370867,
        0.0337332,
        0.0337241,
        0.0334571,
        0.0362126,
        0.0352407,
        0.0337315,
        0.0336117,
        0.0335271,
        0.0342995,
        0.0342359,
        0.0384664,
        0.0384129,
        0.0343385,
        0.0342425,
        0.0337262,
        0.0333886,
        0.0329572,
        0.032817,
        0.0327415,
        0.0330553,
        0.0332278,
        0.0331737,
        0.0329777,
        0.0326653,
        0.0326647,
        0.032734,
        0.0330896,
        0.0330382,
        0.0323375,
        0.0319777,
        0.0318937,
        0.0336635,
        0.0321954,
        0.0313677,
        0.0324079,
        0.0324138,
        0.034307,
        0.0364539,
        0.0355654,
        0.0327762,
        0.0333814,
        0.0329545,
        0.0321533,
        0.0325668,
        0.0372453,
        0.0402973,
        0.0392567,
        0.0348049,
        0.0352892,
        0.0355472,
        0.0370219,
        0.0381063,
        0.0421632,
        0.0442557,
        0.0400868,
        0.0400074,
        0.0395083,
        0.0383607,
        0.0377417,
        0.0401602,
        0.0392413,
        0.0360219,
        0.0387142,
        0.0384678,
        0.0358213,
        0.0363001,
        0.036887,
        0.0373905,
        0.0384683,
        0.0402362,
        0.042252,
        0.0449658,
        0.0458939,
        0.0453195,
        0.0442975,
        0.0428695,
        0.0415094,
        0.0398032,
        0.0386319,
        0.0375971,
        0.037247,
        0.037169,
        0.0383719,
        0.0365627,
        0.0354526,
        0.0351084,
        0.0345282,
        0.0336113,
        0.0335083,
        0.0334714,
        0.0333054,
        0.033593,
        0.0339048,
        0.0341467,
        0.0342858,
        0.0382871,
        0.038916,
        0.034603,
        0.0347944,
        0.0346061,
        0.0333878,
        0.0330374,
        0.0326966,
        0.0329819,
        0.0330796,
        0.0331071,
        0.0328295,
        0.0326332,
        0.0331793,
        0.0327912,
        0.0330699,
        0.0324684,
        0.0333814,
        0.0332698,
        0.0323618,
        0.0323076,
        0.0324083,
        0.0324426,
        0.0326988,
        0.032853,
        0.0329507,
        0.0333,
        0.0336045,
        0.0335068,
        0.0337745,
        0.0337859,
        0.0338619,
        0.0339461,
        0.034282,
        0.0341623,
        0.0344548,
        0.0345416,
        0.0345278,
        0.0342977,
        0.0342429,
        0.034657,
        0.0344167,
        0.0342905,
        0.0341955,
        0.0341691,
        0.0344945,
        0.0347461,
        0.0345278,
        0.0343761,
        0.0341936,
        0.0342053,
        0.0346001,
        0.0346654,
        0.0349707,
        0.0346781,
        0.034127,
        0.0340204,
        0.0337544,
        0.033859,
        0.0338639,
        0.0337783,
        0.0337646,
        0.0364618,
        0.0364598,
        0.034,
        0.0338872,
        0.033994,
        0.0339149,
        0.0336778,
        0.0335935,
        0.0336503,
        0.0335502,
        0.0333562,
        0.0330151,
        0.0327194,
        0.0329447,
        0.0336064,
        0.0338202,
        0.0337178,
        0.0338331,
        0.0339169,
        0.034109,
        0.034505,
        0.0346439,
        0.0347449,
        0.0354186,
        0.0360279,
        0.0356199,
        0.0358647,
        0.0362657,
        0.0370803,
        0.0373988,
        0.0394645,
        0.0388466,
        0.0379934,
        0.0378738,
        0.0370826,
        0.0369674,
        0.036449,
        0.0364888,
        0.0361213,
        0.0362516,
        0.0363862,
        0.0367352,
        0.0364011,
        0.0364352,
        0.0364699,
        0.0361223,
        0.0360665,
        0.0378402,
        0.037465,
        0.0360588,
        0.0360394,
        0.0362551,
        0.0387447,
        0.0400256,
        0.0373193,
        0.0362293,
        0.0362618,
        0.0364956,
        0.0363529,
        0.0361347,
        0.0360107,
        0.0362263,
        0.0366162,
        0.0364258,
        0.0359248,
        0.0354744,
        0.0355834,
        0.035907,
        0.0360456,
        0.036264,
        0.0365864,
        0.0368524,
        0.0375931,
        0.0382924,
        0.0385364,
        0.0392439,
        0.0398949,
        0.0408172,
        0.0460439,
        0.0442389,
        0.0408889,
        0.0409662,
        0.0407559,
        0.0401242,
        0.0392196,
        0.0387737,
        0.0384426,
        0.0382733,
        0.0382031,
        0.0378172,
        0.0378838,
        0.0416416,
        0.0417626,
        0.0382107,
        0.0386518,
        0.0389206,
        0.0390472,
        0.0392425,
        0.0400222,
        0.0406675,
        0.0417162,
        0.0426664,
        0.0436771,
        0.0450061,
        0.046511,
        0.052094,
        0.057489,
        0.054016,
        0.0559016,
        0.0560434,
        0.0550196,
        0.0524809,
        0.0509643,
        0.0496849,
        0.0485339,
        0.0478698,
        0.0472238,
        0.0467869,
        0.0458769,
        0.045236,
        0.0443835,
        0.0439177,
        0.0441591,
        0.0438594,
        0.0431073,
        0.0428541,
        0.0444988,
        0.0440912,
        0.042958,
        0.0449415,
        0.0447557,
        0.042127,
        0.0424723,
        0.0426213,
        0.0419584,
        0.0424795,
        0.0438916,
        0.0448407,
        0.0443866,
        0.0444019,
        0.0450679,
        0.0457717,
        0.0454997,
        0.0454469,
        0.0453742,
        0.0456833,
        0.0462425,
        0.048267,
        0.0475204,
        0.0480273,
        0.0482503,
        0.0489943,
        0.0493895,
        0.0500034,
        0.0515686,
        0.0526401,
        0.0562399,
        0.0585643,
        0.0544598,
        0.0583746,
        0.0595399,
        0.0585576,
        0.0634926,
        0.0645677,
        0.0630954,
        0.0644043,
        0.0678435,
        0.0718885,
        0.0743936,
        0.0775589,
        0.079245,
        0.0822618,
        0.0860822,
        0.091068,
        0.0961103,
        0.103706,
        0.111614,
        0.121691,
        0.132655,
        0.146365,
        0.163092,
        0.189271,
        0.219823,
        0.267295,
        0.348615,
        0.370337,
        0.221816,
        0.200651,
        0.169372,
        0.163955,
        0.155589,
        0.142483,
        0.133758,
        0.128501,
        0.126053,
        0.124894,
        0.123888,
        0.123195,
        0.122227,
        0.127314,
        0.132531,
        0.133404,
        0.138296,
        0.146199,
        0.152679,
        0.175711,
        0.192529,
        0.184895,
        0.202469,
        0.239285,
        0.268406,
        0.29328,
        0.262129,
        0.205059,
        0.183725,
        0.176057,
        0.1572,
        0.13739,
        0.125671,
        0.116696,
        0.111554,
        0.106032,
        0.100076,
        0.0955255,
        0.091233,
        0.0876661,
        0.0840298,
        0.0805351,
        0.0774857,
        0.0752021,
        0.0736458,
        0.0723273,
        0.0711176,
        0.0697901,
        0.0681165,
        0.0662793,
        0.0704594,
        0.0708073,
        0.0654067,
        0.0656256,
        0.0656507,
        0.0649821,
        0.0640229,
        0.0623502,
        0.0628603,
        0.0619663,
        0.0604763,
        0.066086,
        0.0671885,
        0.0642003,
        0.0654435,
        0.06802,
        0.0736472,
        0.078775,
        0.0809565,
        0.079682,
        0.0768341,
        0.0728598,
        0.0682754,
        0.0635733,
        0.0601792,
        0.0578474,
        0.0556966,
        0.0540764,
        0.0533993,
        null,
        0.0641741,
        0.0636961,
        0.0635311,
        0.0635533,
        0.0626839,
        0.0623145,
        0.0664151,
        0.0664445,
        0.0637613,
        0.0640418,
        0.0643054,
        0.0656024,
        0.0653535,
        0.0641154,
        0.0648531,
        0.0656775,
        0.0657915,
        0.0695534,
        0.0704467,
        0.068208,
        0.0675215,
        0.0680943,
        0.0690512,
        0.0702105,
        0.0709179,
        0.0715024,
        0.0723621,
        0.0751791,
        0.0756037,
        0.076835,
        0.0778216,
        0.0791644,
        0.0798126,
        0.0806316,
        0.0807822,
        0.0816779,
        0.0827962,
        0.0840086,
        0.0852868,
        0.0862677,
        0.0870405,
        0.0895398,
        0.0918389,
        0.0930092,
        0.0946193,
        0.0974988,
        0.100259,
        0.103098,
        0.106168,
        0.109446,
        0.113589,
        0.116836,
        0.121956,
        0.126335,
        0.130905,
        0.137066,
        0.143791,
        0.151183,
        0.162589,
        0.176475,
        0.195069,
        0.211247,
        0.238776,
        0.265861,
        0.274155,
        0.24065,
        0.228534,
        0.208364,
        0.175116,
        0.159151,
        0.150052,
        0.142956,
        0.135713,
        0.127909,
        0.120355,
        0.115786,
        0.11142,
        0.107362,
        0.102094,
        0.0985312,
        0.0953273,
        0.0937366,
        0.0915099,
        0.0884179,
        0.0859664,
        0.0826459,
        0.0802043,
        0.0782394,
        0.0767387,
        0.0815617,
        0.0795636,
        0.0727003,
        0.0711292,
        0.0703192,
        0.0700218,
        0.0683542,
        0.0668213,
        0.0658765,
        0.0650446,
        0.0648978,
        0.0644121,
        0.0633578,
        0.062344,
        0.0620516,
        0.0620882,
        0.0618778,
        0.0611557,
        0.0607943,
        0.0604538,
        0.0599798,
        0.0594886,
        0.0589275,
        0.0588319,
        0.0593402,
        0.0590898,
        0.058609,
        0.058471,
        0.0581027,
        0.0575237,
        0.0571212,
        0.0575384,
        0.0586957,
        0.0581887,
        0.0565256,
        0.0564149,
        0.0563306,
        0.0561332,
        0.0557846,
        0.0558547,
        0.055757,
        0.0556728,
        0.0554222,
        0.0557533,
        0.0553746,
        0.0543923,
        0.0542281,
        0.0538622,
        0.0534838,
        0.0536789,
        0.0538579,
        0.0534771,
        0.0531496,
        0.0534276,
        0.0540221,
        0.0543932,
        0.0541444,
        0.0546552,
        0.054862,
        0.0544057,
        0.0546996,
        0.0557505,
        0.055225,
        0.0540582,
        0.0552957,
        0.0555352,
        0.0539313,
        0.0529389,
        0.0526381,
        0.0521724,
        0.0516948,
        0.0518459,
        0.0511648,
        0.0511186,
        0.050913,
        0.0504018,
        0.0503824,
        0.0502252,
        0.0502178,
        0.0504416,
        0.0508916,
        0.0541368,
        0.0500212,
        0.0502995,
        0.0510213,
        0.0517338,
        0.0513372,
        0.0506824,
        0.0506075,
        0.0502029,
        0.0503024,
        0.0501969,
        0.0505781,
        0.0505309,
        0.0501824,
        0.0495465,
        0.0494558,
        0.0493996,
        0.049434,
        0.0493512,
        0.0494697,
        0.0491427,
        0.0489342,
        0.0485984,
        0.0485968,
        0.0482109,
        0.0479245,
        0.0480231,
        0.0481045,
        0.0478619,
        0.047511,
        0.0473256,
        0.0474197,
        0.0474468,
        0.0476147,
        0.0474256,
        0.0473009,
        0.0473476,
        0.0476959,
        0.0479227,
        0.0480932,
        0.048248,
        0.0486235,
        0.0492151,
        0.0496748,
        0.0502111,
        0.0509786,
        0.0517387,
        0.0538632,
        0.0562282,
        0.058653,
        0.0620788,
        0.06708,
        0.0713793,
        0.0728799,
        0.0717182,
        0.0680614,
        0.0630544,
        0.059266,
        0.0563269,
        0.0549718,
        0.052432,
        0.052296,
        0.0522005,
        0.0537771,
        0.0529363,
        0.0499952,
        0.0495998,
        0.0491094,
        0.0486984,
        0.0484129,
        0.0482406,
        0.0479032,
        0.0478318,
        0.0477402,
        0.0477109,
        0.0477486,
        0.0474336,
        0.0474931,
        0.0467915,
        0.0466988,
        0.047314,
        0.0474024,
        0.0471099,
        0.0471789,
        0.0470038,
        0.0465616,
        0.0462513,
        0.0466229,
        0.0462307,
        0.0456435,
        0.0455684,
        0.0489359,
        0.0499907,
        0.0461799,
        0.0453811,
        0.0454223,
        0.0450764,
        0.0452082,
        0.0454592,
        0.0454123,
        0.0448574,
        0.0441876,
        0.0442554,
        0.0444693,
        0.0446059,
        0.0449968,
        0.0456902,
        0.0455578,
        0.0452215,
        0.0457046,
        0.045565,
        0.0461539,
        0.0460819,
        0.0457138,
        0.0462409,
        0.0463517,
        0.0465855,
        0.0467896,
        0.047407,
        0.0483145,
        0.0513116,
        0.0505356,
        0.0485628,
        0.0491106,
        0.0494754,
        0.0490439,
        0.0490881,
        0.0492833,
        0.0498171,
        0.0501195,
        0.0501398,
        0.0497554,
        0.0500446,
        0.050263,
        0.0541852,
        0.0541748,
        0.0511385,
        0.0520983,
        0.055798,
        0.0564138,
        0.0535035,
        0.0606578,
        0.0623113,
        0.0567491,
        0.0582701,
        0.0602374,
        0.0630114,
        0.0657326,
        0.0690763,
        0.0701938,
        0.0709454,
        0.0697882,
        0.0681501,
        0.06638,
        0.0631281,
        0.0600134,
        0.057013,
        0.0548899,
        0.0536558,
        0.0530858,
        0.0520246,
        0.0513071,
        0.0508163,
        0.0503058,
        0.0500646,
        0.0498949,
        0.0501559,
        0.0496865,
        0.0491452,
        0.0493102,
        0.0496427,
        0.0496201,
        0.0493402,
        0.0500477,
        0.0495889,
        0.0494469,
        0.0498418,
        0.0498117,
        0.0501292,
        0.0524671,
        0.052257,
        0.0502877,
        0.0501167,
        0.0503437,
        0.049858,
        0.0499868,
        0.051104,
        0.0512944,
        0.0518326,
        0.0523759,
        0.0517725,
        0.0512647,
        0.0513925,
        0.0518192,
        0.0524291,
        0.054805,
        0.0525292,
        0.0541636,
        0.0534565,
        0.0515428,
        0.0521311,
        0.0523453,
        0.0521796,
        0.0519445,
        0.0521767,
        0.0527642,
        0.0528417,
        0.0533717,
        0.0537771,
        0.0539708,
        0.0535082,
        0.0537734,
        0.0545261,
        0.0558625,
        0.0567418,
        0.0572309,
        0.0577875,
        0.0584963,
        0.0587105,
        0.0592864,
        0.0596512,
        0.0608904,
        0.0619097,
        0.0640503,
        0.0671058,
        0.0719706,
        0.0775597,
        0.0819538,
        0.0839618,
        0.0819451,
        0.0771525,
        0.072175,
        0.069196,
        0.066676,
        0.0649852,
        0.063917,
        0.0636118,
        0.0634022,
        0.0635984,
        0.0646413,
        0.0657278,
        0.0653721,
        0.0640493,
        0.0633575,
        0.0640262,
        0.0655034,
        0.0657187,
        0.0661702,
        0.0661093,
        0.0671988,
        0.0676464,
        0.0685072,
        0.0686358,
        0.070531,
        0.0763058,
        0.0703608,
        0.0711014,
        0.0729303,
        0.0732626,
        0.0744947,
        0.0756733,
        0.0764832,
        0.0788123,
        0.0793458,
        0.0799642,
        0.0805848,
        0.0816013,
        0.0836922,
        0.0856512,
        0.0890042,
        0.0900037,
        0.0907297,
        0.0922048,
        0.0952868,
        0.0987269,
        0.102615,
        0.10643,
        0.108935,
        0.112842,
        0.117461,
        0.121005,
        0.12744,
        0.137887,
        0.146525,
        0.161479,
        0.157212,
        0.165952,
        0.183428,
        0.20209,
        0.220027,
        0.233262,
        0.271754,
        0.252354,
        0.241806,
        0.224859,
        0.214994,
        0.206755,
        0.200504,
        0.194075,
        0.183895,
        0.182104,
        0.179808,
        0.181358,
        0.180691,
        0.180148,
        0.182338,
        0.181518,
        0.181146,
        0.182584,
        0.184517,
        0.187699,
        0.187044,
        0.192433,
        0.204311,
        0.210227,
        0.214893,
        0.219827,
        0.226099,
        0.243071,
        0.268922,
        0.285352,
        0.283787,
        0.262741,
        0.243134,
        0.220199,
        0.206543,
        0.198584,
        0.190609,
        0.184022,
        0.173851,
        0.167358,
        0.170571,
        0.157354,
        0.150649,
        0.147062,
        0.140256,
        0.134001,
        0.130465,
        0.127438,
        0.12453,
        0.121787,
        0.118836,
        0.117747,
        0.116085,
        0.112183,
        0.109333,
        0.109554,
        0.107521,
        0.105567,
        0.103424,
        0.101444,
        0.100702,
        0.0999987,
        0.0994758,
        0.0988184,
        0.0992687,
        0.098228,
        0.0978626,
        0.0992456,
        0.0995911,
        0.098505,
        0.098562,
        0.0976542,
        0.0965855,
        0.0965296,
        0.0976836,
        0.0983295,
        0.0981194,
        0.098728,
        0.0973841,
        0.0985194,
        0.101734,
        0.107839,
        0.105077,
        0.102861,
        0.103861,
        0.103008,
        0.108804,
        0.10838,
        0.107362,
        0.110629,
        0.110115,
        0.109187,
        0.112539,
        0.114606,
        0.11653,
        0.116385,
        0.119882,
        0.126926,
        0.124448,
        0.124473,
        0.126101,
        0.127209,
        0.128936,
        0.130624,
        0.134649,
        0.137864,
        0.139273,
        0.142395,
        0.146718,
        0.151573,
        0.153162,
        0.159542,
        0.164006,
        0.165729,
        0.167513,
        0.178239,
        0.181614,
        0.194798,
        0.1966,
        0.199239,
        0.217152,
        0.223024,
        0.236518,
        0.263127,
        null,
        0.253393,
        0.243476,
        0.228774,
        0.216101,
        0.20758,
        0.204771,
        0.199434,
        0.191722,
        0.181895,
        0.17587,
        0.173452,
        0.163588,
        0.155521,
        0.145723,
        0.141333,
        0.141274,
        0.136822,
        0.131873,
        0.128427,
        0.123352,
        0.118943,
        0.116051,
        0.119571,
        0.115398,
        0.108377,
        0.108053,
        0.103781,
        0.101759,
        0.10032,
        0.0981276,
        0.0964279,
        0.0952093,
        0.0939665,
        0.0941059,
        0.0925666,
        0.0899358,
        0.0883278,
        0.0882495,
        0.0869412,
        0.0874781,
        0.0863458,
        0.0840926,
        0.0836132,
        0.0849482,
        0.0852553,
        0.0841906,
        0.082324,
        0.080218,
        0.0782073,
        0.0770161,
        0.076451,
        0.0758388,
        0.0737877,
        0.0794879,
        0.0795309,
        0.073232,
        0.0730501,
        0.0725417,
        0.0716274,
        0.0703721,
        0.0690953,
        0.0678061,
        0.0659977,
        0.0656829,
        0.065828,
        0.0668064,
        0.0667249,
        0.0650172,
        0.0635901,
        0.0638305,
        0.0642186,
        0.0652763,
        0.064503,
        0.0629675,
        0.0609055,
        0.0601945,
        0.0590409,
        0.062274,
        0.0656443,
        0.0598868,
        0.0566458,
        0.0565808,
        0.0567018,
        0.0559903,
        0.0553945,
        0.0546754,
        0.0545603,
        0.0533797,
        0.0568006,
        0.0577619,
        0.0534451,
        0.0528046,
        0.0527108,
        0.0518118,
        0.0512651,
        0.0517572,
        0.0519505,
        0.051807,
        0.0513826,
        0.0509924,
        0.0505943,
        0.050453,
        0.0507677,
        0.050722,
        0.0506178,
        0.0508727,
        0.0509854,
        0.0514008,
        0.0523387,
        0.0522032,
        0.0513532,
        0.0511847,
        0.0502363,
        0.050123,
        0.0499492,
        0.0498613,
        0.0498075,
        0.0504626,
        0.049894,
        0.050226,
        0.0496614,
        0.049427,
        0.049535,
        0.0496117,
        0.0498842,
        0.0494752,
        0.0492827,
        0.0490865,
        0.049529,
        0.0488194,
        0.0478804,
        0.0473523,
        0.0469438,
        0.0468871,
        0.0470118,
        0.0474401,
        0.0474723,
        0.0476803,
        0.0480437,
        0.0488585,
        0.0494709,
        0.0503137,
        0.0514246,
        0.0542077,
        0.057344,
        0.0592712,
        0.0606294,
        0.0589213,
        0.0567478,
        0.0532502,
        0.0504472,
        0.0481273,
        0.04594,
        0.044806,
        0.0447648,
        0.0439328,
        0.0432896,
        0.0432384,
        0.0439189,
        0.0437671,
        0.0439042,
        0.0441294,
        0.0437139,
        0.0436872,
        0.0441046,
        0.0437836,
        0.0434864,
        0.0430928,
        0.0423893,
        0.0423848,
        0.0426096,
        0.0425779,
        0.0433222,
        0.0435177,
        0.0439088,
        0.0442697,
        0.0442623,
        0.0445708,
        0.0446484,
        0.0447099,
        0.0446465,
        0.0443199,
        0.0442671,
        0.0439426,
        0.0434214,
        0.043443,
        0.0429357,
        0.0426041,
        0.0423841,
        0.0423676,
        0.0425126,
        0.0422015,
        0.0419435,
        0.0415659,
        0.0412949,
        0.040807,
        0.0405751,
        0.040683,
        0.0404517,
        0.0398578,
        0.0398834,
        0.0404477,
        0.0403332,
        0.0395297,
        0.0392403,
        0.0393331,
        0.0396554,
        0.0390128,
        0.0386188,
        0.0385167,
        0.0387837,
        0.0392853,
        0.0395478,
        0.0395132,
        0.0404879,
        0.0407352,
        0.0398466,
        0.0404102,
        0.0409334,
        0.0414264,
        0.0419393,
        0.0429574,
        0.0440234,
        0.0451877,
        0.0461737,
        0.0470431,
        0.0478992,
        0.048024,
        0.046736,
        0.0455889,
        0.0441461,
        0.0432261,
        0.0456067,
        0.0450091,
        0.0451563,
        0.0441452,
        0.0401702,
        0.0397059,
        0.0391275,
        0.0392779,
        0.0388986,
        0.0388589,
        0.0413665,
        0.0418962,
        0.0390448,
        0.0377184,
        0.0376235,
        0.0379351,
        0.0379317,
        0.0379685,
        0.0378982,
        0.0378076,
        0.0378181,
        0.0373332,
        0.040017,
        0.039954,
        0.0368301,
        0.0368271,
        0.0365438,
        0.0364903,
        0.0362607,
        0.0362132,
        0.0359895,
        0.036207,
        0.0359985,
        0.0356413,
        0.0354243,
        0.0350712,
        0.0347758,
        0.0347662,
        0.0351218,
        0.0353127,
        0.0350152,
        0.0350351,
        0.0351337,
        0.0357906,
        0.0363835,
        0.0365225,
        0.0360503,
        0.0379099,
        0.0384042,
        0.0364589,
        0.0366206,
        0.0359267,
        0.0357465,
        0.0361835,
        0.036771,
        0.0375933,
        0.0371829,
        0.0372622,
        0.0369918,
        0.0366004,
        0.0369135,
        0.0368982,
        0.0372206,
        0.0366053,
        0.0363565,
        0.0367904,
        0.040588,
        0.043655,
        0.037582,
        0.0368958,
        0.0368928,
        0.0369842,
        0.0363507,
        0.0368453,
        0.036897,
        0.0370368,
        0.0367687,
        0.0369433,
        0.0370262,
        0.0370075,
        0.0372794,
        0.0406796,
        0.0402407,
        0.0377955,
        0.0374929,
        0.0373223,
        0.0371352,
        0.0373407,
        0.0378206,
        0.0380479,
        0.0379981,
        0.0386235,
        0.0387348,
        0.0389619,
        0.0396358,
        0.0406565,
        0.0426675,
        0.0447334,
        0.0473036,
        0.0497746,
        0.0510034,
        0.0499692,
        0.0479263,
        0.0455815,
        0.0430948,
        0.0416681,
        0.0405573,
        0.0395968,
        0.0386401,
        0.0381272,
        0.0376615,
        0.0369699,
        0.0367394,
        0.0364508,
        0.0366117,
        0.0370086,
        0.0371404,
        0.0371544,
        0.0404783,
        0.0429752,
        0.0407922,
        0.0374402,
        0.0372156,
        0.0373122,
        0.0374584,
        0.037562,
        0.0380584,
        0.0378423,
        0.0377389,
        0.0373674,
        0.0370272,
        0.0375457,
        0.0379495,
        0.0379415,
        0.0381288,
        0.0378216,
        0.0370709,
        0.0368397,
        0.0366766,
        0.0369379,
        0.0369847,
        0.0369307,
        0.0396277,
        0.0395042,
        0.0367283,
        0.0367409,
        0.0361812,
        0.0361296,
        0.0363648,
        0.0368455,
        0.0364457,
        0.03633,
        0.0361944,
        0.0361929,
        0.0358999,
        0.036191,
        0.0360722,
        0.0360353,
        0.0361293,
        0.0364592,
        0.0359594,
        0.0362809,
        0.0361312,
        0.0362987,
        0.036452,
        0.0367372,
        0.035809,
        0.0355329,
        0.0353543,
        0.0362938,
        0.0366443,
        0.0365573,
        0.0370383,
        0.0372904,
        0.0376934,
        0.0379985,
        0.0384018,
        0.0383191,
        0.0382102,
        0.0398341,
        0.0385555,
        0.0382077,
        0.0376828,
        0.0380935,
        0.0385855,
        0.039066,
        0.0400289,
        0.0463471,
        0.0455649,
        0.0420198,
        0.0418943,
        0.0443371,
        0.0432553,
        0.0401245,
        0.0392842,
        0.0388417,
        0.0381866,
        0.0377191,
        0.0372666,
        0.0372546,
        0.0368234,
        0.0368386,
        0.0365241,
        0.0364847,
        0.0365655,
        0.0368375,
        0.0364983,
        0.0362352,
        0.0377433,
        0.0369737,
        0.0357524,
        0.0351839,
        0.0355732,
        0.0358918,
        0.0353542,
        0.0365284,
        0.0353942,
        0.0353593,
        0.0353065,
        0.035244,
        0.0355502,
        0.0351477,
        0.0345761,
        0.0349957,
        0.0350605,
        0.0351082,
        0.0348807,
        0.0346003,
        0.0344169,
        0.0344793,
        0.0342778,
        0.0345087,
        0.0342315,
        0.0344616,
        0.0344185,
        0.0344112,
        0.0345929,
        0.0348172,
        0.0343966,
        0.035254,
        0.0345063,
        0.0350015,
        0.0349348,
        0.0350682,
        0.0351891,
        0.0352805,
        0.035378,
        0.0391103,
        0.0385864,
        0.0356294,
        0.035834,
        0.0360958,
        0.0362715,
        0.0364982,
        0.0389824,
        0.0390661,
        0.0367996,
        0.0370206,
        0.0377312,
        0.0378549,
        0.0381025,
        0.0383731,
        0.0386035,
        0.0387709,
        0.0389646,
        0.0395169,
        0.0396102,
        0.0393828,
        0.0396013,
        0.0389833,
        0.0386294,
        0.0382629,
        0.0379298,
        0.0383542,
        0.0384259,
        0.0380293,
        0.037534,
        0.0371922,
        0.0374773,
        0.0382727,
        0.0382037,
        0.0389666,
        0.0392816,
        0.0402296,
        0.0434851,
        0.0441182,
        0.0446391,
        0.0465877,
        0.0489141,
        0.0494171,
        0.0484719,
        0.0469578,
        0.0449099,
        0.0424255,
        0.0426578,
        0.0403609,
        0.0382188,
        0.0378656,
        0.0376931,
        0.036911,
        0.0364739,
        0.0360555,
        0.0358271,
        0.0358073,
        0.0355276,
        0.0353041,
        0.0351508,
        0.034883,
        0.0344346,
        0.0348862,
        0.0351656,
        0.0355389,
        0.0358123,
        0.0358396,
        0.0358939,
        0.0360165,
        0.0361533,
        0.0356843,
        0.0356009,
        0.0356212,
        0.0356894,
        0.0360824,
        0.0359625,
        0.036268,
        0.0363328,
        0.0362361,
        0.0365117,
        0.0368004,
        0.0369706,
        0.03651,
        0.0365652,
        0.0366797,
        0.03629,
        0.0362593,
        0.0361293,
        0.0365572,
        0.0359621,
        0.0358149,
        0.0358832,
        0.0362188,
        0.0373545,
        0.0370837,
        0.0358733,
        0.0360276,
        0.0360627,
        0.0357881,
        0.0355211,
        0.0356161,
        0.0355593,
        0.0355823,
        0.0354602,
        0.0351532,
        0.035393,
        0.0355795,
        0.0353566,
        0.0352297,
        0.0355281,
        0.0356186,
        0.0357322,
        0.0364379,
        0.0361453,
        0.0360975,
        0.0367072,
        0.0370775,
        0.0378926,
        0.0385484,
        0.0383856,
        0.0385195,
        0.0386763,
        0.0383629,
        0.0380609,
        0.0377144,
        0.0375472,
        0.0373519,
        0.0370804,
        0.0366877,
        0.0361321,
        0.0365998,
        0.0394856,
        0.0375609,
        0.0367114,
        0.0371192,
        0.0374932,
        0.0369352,
        0.0391876,
        0.040972,
        0.0370892,
        0.0375766,
        0.0372116,
        0.0373416,
        0.0377807,
        0.0380621,
        0.0378844,
        0.0383343,
        0.0387225,
        0.039563,
        0.0395795,
        0.0401633,
        0.0409076,
        0.0413315,
        0.0415025,
        0.0418945,
        0.0414875,
        0.0413927,
        0.0413619,
        0.0408502,
        0.0405264,
        0.0404574,
        0.0399825,
        0.0402755,
        0.040915,
        0.0419433,
        0.0429656,
        0.0438267,
        0.0452173,
        0.0468165,
        0.0476615,
        0.0475725,
        0.0472831,
        0.0465956,
        0.0456208,
        0.0443228,
        0.0430155,
        0.0423245,
        0.0410693,
        0.0400042,
        0.039115,
        0.038286,
        0.0377586,
        0.0374358,
        0.0373427,
        0.0369926,
        0.0368237,
        0.0367469,
        0.0368539,
        0.0365036,
        0.0366392,
        0.03656,
        0.0366953,
        0.0397163,
        0.0381206,
        0.0371652,
        0.037085,
        0.0374869,
        0.0407708,
        0.0408017,
        0.0381315,
        0.0378129,
        0.0380201,
        0.0380117,
        0.0378549,
        0.0385244,
        0.038062,
        0.0380261,
        0.0388332,
        0.0389832,
        0.0387545,
        0.0384116,
        0.0381514,
        0.038338,
        0.0384463,
        0.0385939,
        0.038714,
        0.0393613,
        0.0387802,
        0.0388056,
        0.0389355,
        0.0398715,
        0.0398802,
        0.0401266,
        0.0404421,
        0.0405246,
        0.040133,
        0.0407934,
        0.0415126,
        0.0444124,
        0.0449819,
        0.0438733,
        0.0456394,
        0.0475904,
        0.0495301,
        0.050517,
        0.0498415,
        0.0480433,
        0.0462496,
        0.0444047,
        0.0429032,
        0.041951,
        0.0414071,
        0.0409487,
        0.0407609,
        0.0404335,
        0.040731,
        0.0405855,
        0.0400701,
        0.039955,
        0.0397417,
        0.0398226,
        0.0399045,
        0.0394477,
        0.0389887,
        0.0395245,
        0.0394461,
        0.0398118,
        0.0399257,
        0.0403812,
        0.0414062,
        0.0406212,
        0.0413755,
        0.0414661,
        0.040026,
        0.0402091,
        0.04075,
        0.041208,
        0.045904,
        0.0436778,
        0.0423175,
        0.0421792,
        0.0418811,
        0.0417655,
        0.0421107,
        0.042388,
        0.0423112,
        0.0422941,
        0.0430195,
        0.0437298,
        0.0434081,
        0.0436691,
        0.0434569,
        0.0437573,
        0.0436553,
        0.0438615,
        0.043832,
        0.0437945,
        0.0461228,
        0.0468873,
        0.0448704,
        0.0543056,
        0.0549912,
        0.0505653,
        0.0464687,
        0.0467311,
        0.0463895,
        0.0462045,
        0.0462471,
        0.0465186,
        0.0484741,
        0.0489941,
        0.0470133,
        0.0469093,
        0.0474655,
        0.0485143,
        0.0485115,
        0.0486508,
        0.0490998,
        0.0554152,
        0.0562886,
        0.0504045,
        0.0506333,
        0.0518583,
        0.0521177,
        0.0535193,
        0.0547484,
        0.0550188,
        0.0552925,
        0.0559567,
        0.0567791,
        0.0575635,
        0.058572,
        0.0606229,
        0.0622567,
        0.071372,
        0.0685109,
        0.0674907,
        0.0690685,
        0.0726427,
        0.074621,
        0.0763159,
        0.0773984,
        0.0811002,
        0.0844684,
        0.0890928,
        0.0949111,
        0.100541,
        0.103689,
        0.108705,
        0.116065,
        0.123394,
        0.132715,
        0.143169,
        0.158694,
        0.177627,
        0.199227,
        0.227031,
        0.263729,
        0.380316,
        0.291831,
        0.252085,
        0.217683,
        0.191419,
        0.17175,
        0.157895,
        0.145303,
        0.132651,
        0.121241,
        0.11656,
        0.112278,
        0.106941,
        0.100268,
        0.0952899,
        0.091774,
        0.089135,
        0.0869054,
        0.0833053,
        0.0805953,
        0.0786314,
        0.0772346,
        0.0757304,
        0.0748109,
        0.0711773,
        0.0692445,
        0.0683423,
        0.0743552,
        0.0698609,
        0.0648458,
        0.0649092,
        0.0641035,
        0.0635019,
        0.0680995,
        0.0653926,
        0.0603624,
        0.0599582,
        0.0589507,
        0.0584186,
        0.0581328,
        0.0581256,
        0.0573265,
        0.0573935,
        0.056838,
        0.0566763,
        0.0559751,
        0.0565659,
        0.0629547,
        0.0624593,
        0.0569349,
        0.0638976,
        0.065512,
        0.0694154,
        0.0625074,
        0.0609824,
        0.059033,
        0.0575077,
        0.0556418,
        0.0534699,
        0.05209,
        0.0518852,
        0.0516828,
        0.0558619,
        0.054443,
        0.0489473,
        0.0486062,
        0.0489517,
        0.0484285,
        0.0478175,
        0.0473793,
        0.0481968,
        0.0486597,
        0.0479861,
        0.0479975,
        0.0481027,
        0.0475953,
        0.0474325,
        0.0473181,
        0.0469574,
        0.0472853,
        0.0483063,
        0.0483076,
        0.0482665,
        0.0480604,
        0.0481032,
        0.0486822,
        0.0486138,
        0.0485219,
        0.048482,
        0.0488446,
        0.0492458,
        0.0490758,
        0.0494187,
        0.049015,
        0.0494189,
        0.0492884,
        0.0493182,
        0.0491679,
        0.0490892,
        0.0486794,
        0.049536,
        0.050496,
        0.0503573,
        0.0500642,
        0.0496222,
        0.0494209,
        0.0496535,
        0.050164,
        0.0507793,
        0.0512809,
        0.052,
        0.0520091,
        0.0516431,
        0.0510725,
        0.0510641,
        0.0513856,
        0.0518212,
        0.052808,
        0.0533832,
        0.0530895,
        0.0526872,
        0.0538251,
        0.054838,
        0.0543192,
        0.0540774,
        0.0548683,
        0.0551749,
        0.0569152,
        0.0570771,
        0.0557278,
        0.0560202,
        0.0568525,
        0.0587398,
        0.0601721,
        0.0624749,
        0.0642317,
        0.0653408,
        0.072363,
        0.0781659,
        0.0745519,
        0.0769627,
        0.0800958,
        0.0856279,
        0.0861763,
        0.0817469,
        0.0775747,
        0.0811524,
        0.0840031,
        0.0858145,
        0.0857268,
        0.0846327,
        0.0856039,
        0.0868225,
        0.0892734,
        0.0916306,
        0.0933376,
        0.0958504,
        0.098938,
        0.101748,
        0.106214,
        0.111738,
        0.120605,
        0.122412,
        0.128023,
        0.137705,
        0.141132,
        0.149379,
        0.164288,
        0.180086,
        0.193794,
        0.213629,
        0.237953,
        0.273433,
        0.292762,
        0.260396,
        0.235098,
        0.207719,
        0.185159,
        0.169964,
        0.158013,
        0.148274,
        0.139649,
        0.132837,
        0.125939,
        0.119558,
        0.114159,
        0.118994,
        0.113009,
        0.101239,
        0.0972979,
        0.0937583,
        0.0912153,
        0.0889855,
        0.0868044,
        0.0842153,
        0.0815143,
        0.0800643,
        0.0791226,
        0.0774326,
        0.0758261,
        0.0750782,
        0.0743057,
        0.0732445,
        0.0713059,
        0.0704558,
        0.069149,
        0.067826,
        0.0668312,
        0.0676562,
        0.0669231,
        0.0657168,
        0.0656017,
        0.0658906,
        0.0670362,
        0.0675409,
        0.0681838,
        0.0730651,
        0.0723105,
        0.0661976,
        0.0634542,
        0.06069,
        0.0582412,
        0.0573499,
        0.0570748,
        0.0555167,
        0.0542475,
        0.0536056,
        0.052754,
        0.0529482,
        0.0528163,
        0.0523218,
        0.0517947,
        0.0514879,
        0.0509224,
        0.0509668,
        0.050879,
        0.050591,
        0.0504405,
        0.0501444,
        0.0494846,
        0.0492832,
        0.0496975,
        0.0499252,
        0.0501406,
        0.0508814,
        0.0502485,
        0.0491758,
        0.0487753,
        0.0489418,
        0.0489154,
        0.0492916,
        0.0495442,
        0.0497951,
        0.0496043,
        0.0491524,
        0.0480301,
        0.0481758,
        0.0481451,
        0.0485713,
        0.0488858,
        0.0488765,
        0.0489164,
        0.0490492,
        0.0482481,
        0.048264,
        0.0476233,
        0.0479981,
        0.0479006,
        null,
        0.0582805,
        0.0585766,
        0.0649411,
        0.0648406,
        0.059662,
        0.0605104,
        0.0602236,
        0.0591795,
        0.0590231,
        0.0591137,
        0.0589501,
        0.0590502,
        0.0595717,
        0.0603683,
        0.060985,
        0.0615679,
        0.0618693,
        0.0618409,
        0.061783,
        0.0624111,
        0.0626493,
        0.0625432,
        0.0625647,
        0.0622806,
        0.0620747,
        0.0668973,
        0.0648094,
        0.0606533,
        0.0611637,
        0.0612031,
        0.0616785,
        0.0624096,
        0.063101,
        0.064456,
        0.0646439,
        0.0644682,
        0.0640383,
        0.0629473,
        0.0612797,
        0.0597181,
        0.0583287,
        0.0576027,
        0.057285,
        0.0623985,
        0.0617524,
        0.0562811,
        0.056439,
        0.0561418,
        0.0558266,
        0.0553481,
        0.0549619,
        0.0547807,
        0.0541714,
        0.0541642,
        0.0542461,
        0.0541199,
        0.0534784,
        0.0533224,
        0.0536571,
        0.0541099,
        0.0543324,
        0.0543525,
        0.0545825,
        0.0542867,
        0.0542433,
        0.0544273,
        0.0542941,
        0.0546305,
        0.0548708,
        0.05508,
        0.0555657,
        0.0561559,
        0.056819,
        0.0574247,
        0.0573007,
        0.0567859,
        0.0566028,
        0.0567566,
        0.0569546,
        0.0569563,
        0.0565035,
        0.0563243,
        0.056916,
        0.0570696,
        0.0566743,
        0.0559093,
        0.0558007,
        0.0563677,
        0.0567134,
        0.0569299,
        0.0568287,
        0.0565451,
        0.0564755,
        0.0563454,
        0.063101,
        0.0614361,
        0.0572766,
        0.0574696,
        0.0578199,
        0.0577365,
        0.0578689,
        0.0608147,
        0.0606411,
        0.0587125,
        0.0592368,
        0.059766,
        0.060738,
        0.0611756,
        0.0613189,
        0.0607693,
        0.060232,
        0.0591416,
        0.0587422,
        0.0582496,
        0.0574556,
        0.0567968,
        0.0563056,
        0.0554304,
        0.0545259,
        0.0543657,
        0.0543558,
        0.054127,
        0.0540479,
        0.0539672,
        0.0537052,
        0.0534843,
        0.0534969,
        0.0536807,
        0.0538521,
        0.053866,
        0.0539891,
        0.0541056,
        0.054276,
        0.0539356,
        0.0538989,
        0.0541118,
        0.0543694,
        0.0548023,
        0.0550261,
        0.0551671,
        0.0556589,
        0.0558704,
        0.0567948,
        0.0578411,
        0.0585427,
        0.0592497,
        0.0600749,
        0.0608968,
        0.0605412,
        0.0606703,
        0.0606574,
        0.0601272,
        0.0591742,
        0.0588344,
        0.0577468,
        0.0567606,
        0.0557908,
        0.0551931,
        0.0546521,
        0.0539733,
        0.0534442,
        0.0528662,
        0.0565654,
        0.0567159,
        0.0513818,
        0.0517305,
        0.0505545,
        0.0531242,
        0.0503789,
        0.0499383,
        0.0544925,
        0.0534644,
        0.0500716,
        0.0497721,
        0.0496957,
        0.0495209,
        0.0494507,
        0.0500235,
        0.050036,
        0.0499083,
        0.05008,
        0.0535192,
        0.0511303,
        0.0509895,
        0.0514568,
        0.0524153,
        0.0527711,
        0.0527314,
        0.0527175,
        0.0530661,
        0.0538591,
        0.0536053,
        0.0530524,
        0.0528205,
        0.0529505,
        0.0523491,
        0.0520511,
        0.0520532,
        0.0518174,
        0.0517783,
        0.0518659,
        0.0521547,
        0.0544799,
        0.0546491,
        0.0525865,
        0.0527508,
        0.0531861,
        0.0540659,
        0.0552495,
        0.0549118,
        0.0537388,
        0.0527477,
        0.0521019,
        0.0514021,
        0.0510639,
        0.0502322,
        0.0496789,
        0.0490133,
        0.0486156,
        0.0482119,
        0.0482288,
        0.0480449,
        0.0477635,
        0.0474037,
        0.0476862,
        0.0473989,
        0.0471129,
        0.0466813,
        0.0465235,
        0.046747,
        0.0467337,
        0.046557,
        0.0464622,
        0.0467079,
        0.0484964,
        0.0503174,
        0.0493504,
        0.0468003,
        0.0466797,
        0.0468511,
        0.0466107,
        0.0466732,
        0.0469468,
        0.0469889,
        0.0468574,
        0.0473614,
        0.0475699,
        0.0475681,
        0.0478613,
        0.0483276,
        0.0483754,
        0.0475889,
        0.0473735,
        0.047862,
        0.0485265,
        0.0481252,
        0.0492425,
        0.0488246,
        0.0513861,
        0.0510547,
        0.0484046,
        0.0484909,
        0.0487426,
        0.0483906,
        0.048273,
        0.0491036,
        0.048578,
        0.0484194,
        0.0500452,
        0.0494628,
        0.0486786,
        0.0478469,
        0.0476695,
        0.0482577,
        0.0483217,
        0.0481457,
        0.0475012,
        0.0475094,
        0.0472445,
        0.0482161,
        0.0478798,
        0.0466485,
        0.0468737,
        0.0468546,
        0.0468732,
        0.0463823,
        0.0462039,
        0.0461249,
        0.0514159,
        0.0510715,
        0.0454755,
        0.0496894,
        0.049005,
        0.0453761,
        0.0452626,
        0.0456695,
        0.0453693,
        0.0452444,
        0.0459953,
        0.0455902,
        0.0456342,
        0.045885,
        0.0461134,
        0.0463907,
        0.0459448,
        0.0458589,
        0.046183,
        0.0464148,
        0.0467574,
        0.0461897,
        0.0464039,
        0.04697,
        0.0468314,
        0.0467269,
        0.0469824,
        0.0469534,
        0.0467541,
        0.0466657,
        0.0468546,
        0.0467953,
        0.0468286,
        0.0470043,
        0.047332,
        0.0473033,
        0.0468308,
        0.0468386,
        0.0467326,
        0.0465591,
        0.0465213,
        0.0465031,
        0.0458354,
        0.045515,
        0.0457814,
        0.0455444,
        0.0453963,
        0.0454755,
        0.0451864,
        0.0447984,
        0.044797,
        0.045003,
        0.0510298,
        0.0457761,
        0.0449879,
        0.0449475,
        0.0445023,
        0.0447244,
        0.0446936,
        0.0451986,
        0.0456025,
        0.0449315,
        0.0449862,
        0.0450629,
        0.0450795,
        0.0450323,
        0.0448394,
        0.044825,
        0.0446974,
        0.0446357,
        0.044349,
        0.0449411,
        0.0451126,
        0.0455482,
        0.0459411,
        0.045773,
        0.0461366,
        0.0465265,
        0.0473403,
        0.0482784,
        0.0551722,
        0.0569433,
        0.0527588,
        0.0537648,
        0.0536549,
        0.0523654,
        0.050899,
        0.0512915,
        0.0510468,
        0.0575277,
        0.0578276,
        0.0528753,
        0.0556063,
        0.0584903,
        0.0613164,
        0.0630991,
        0.0643776,
        0.0637686,
        0.0614504,
        0.0606615,
        0.0552246,
        0.0529018,
        0.0515357,
        0.0496432,
        0.0484698,
        0.0473786,
        0.0468712,
        0.0467055,
        0.0461656,
        0.0458627,
        0.0457813,
        0.0455174,
        0.0451739,
        0.0451579,
        0.045346,
        0.0453632,
        0.0452547,
        0.0452264,
        0.0449864,
        0.0453926,
        0.0454612,
        0.0449253,
        0.044406,
        0.044263,
        0.0444862,
        0.0452273,
        0.0456767,
        0.0460305,
        0.0457956,
        0.0489241,
        0.0508777,
        0.0485421,
        0.0455738,
        0.0451901,
        0.0454648,
        0.0457404,
        0.0460077,
        0.0459894,
        0.046668,
        0.0466486,
        0.0469268,
        0.046831,
        0.0473939,
        0.0492141,
        0.0496029,
        0.0476435,
        0.0482411,
        0.0477169,
        0.0477361,
        0.0479354,
        0.0478558,
        0.0475317,
        0.0478815,
        0.0478755,
        0.0481025,
        0.0476593,
        0.0478678,
        0.0482087,
        0.0482029,
        0.0479096,
        0.0483826,
        0.048638,
        0.0485656,
        0.0483092,
        0.0480947,
        0.0486176,
        0.0486594,
        0.0481854,
        0.0479971,
        0.048463,
        0.0488938,
        0.0483334,
        0.0479831,
        0.0478255,
        0.0477726,
        0.0477137,
        0.0475413,
        0.0476088,
        0.0478191,
        0.0477901,
        0.047955,
        0.0482066,
        0.0487554,
        0.0487508,
        0.0493015,
        0.0497106,
        0.0500488,
        0.0508691,
        0.0560107,
        0.0552533,
        0.0534139,
        0.0541631,
        0.0557261,
        0.056976,
        0.0585709,
        0.0607983,
        0.0666824,
        0.0695286,
        0.0706071,
        0.0761619,
        0.0817368,
        0.0873889,
        0.0920576,
        0.0942089,
        0.092886,
        0.0892994,
        0.0854431,
        0.0803528,
        0.0754694,
        0.0715748,
        0.0686055,
        0.0651061,
        0.0635882,
        0.0621751,
        0.0615276,
        0.0599078,
        0.0581051,
        0.058271,
        0.0577265,
        0.0578782,
        0.0568803,
        0.0563447,
        0.0567971,
        0.0566439,
        0.0555633,
        0.0556642,
        0.0559728,
        0.056098,
        0.0564039,
        0.0562703,
        0.0568669,
        0.0572645,
        0.0567232,
        0.0563953,
        0.0562017,
        0.0588976,
        0.0590906,
        0.0576564,
        0.0579927,
        0.0581269,
        0.058873,
        0.0592637,
        0.0595763,
        0.0595737,
        0.0606047,
        0.065723,
        0.0659637,
        0.0619756,
        0.0683178,
        0.0690246,
        0.0659494,
        0.0662344,
        0.0658654,
        0.0743023,
        0.0767763,
        0.0690923,
        0.0695441,
        0.0705277,
        0.0717617,
        0.0725881,
        0.0735636,
        0.0749707,
        0.0766866,
        0.0778907,
        0.0809593,
        0.0820519,
        0.0837897,
        0.0920062,
        0.0944203,
        0.0936214,
        0.0944219,
        0.0943865,
        0.0967843,
        0.100505,
        0.104758,
        0.106008,
        0.110536,
        0.11636,
        0.121478,
        0.123385,
        0.125776,
        0.129955,
        0.137427,
        0.145573,
        0.151016,
        0.157273,
        0.166641,
        0.177179,
        0.185298,
        0.193685,
        0.212384,
        0.234907,
        0.269539,
        0.310466,
        0.2865,
        0.255169,
        0.210485,
        0.201641,
        0.188413,
        0.178922,
        0.167478,
        0.157594,
        0.150854,
        0.142922,
        0.135804,
        0.141916,
        0.134845,
        0.117386,
        0.111779,
        0.107058,
        0.104832,
        0.103303,
        0.0993698,
        0.0952534,
        0.0925684,
        0.0912271,
        0.0887273,
        0.0924268,
        0.0910811,
        0.0828845,
        0.0820818,
        0.0804509,
        0.0789805,
        0.0772122,
        0.0759971,
        0.0741862,
        0.0731465,
        0.0720841,
        0.0712614,
        0.0696287,
        0.0701373,
        0.0709844,
        0.0679145,
        0.0663476,
        0.0663039,
        0.0654182,
        0.0650755,
        0.0646026,
        0.0640095,
        0.0630011,
        0.0622667,
        0.0623666,
        0.0617732,
        0.0604171,
        0.0602575,
        0.0606927,
        0.0599556,
        0.0594457,
        0.0584659,
        0.058,
        0.0575966,
        0.0562537,
        0.0561191,
        0.0555632,
        0.0548468,
        0.0543505,
        0.0604433,
        0.0591578,
        0.0526204,
        0.0526828,
        0.052057,
        0.0513721,
        0.0507872,
        0.0511279,
        0.0514983,
        0.0507485,
        0.0499014,
        0.0496214,
        0.0492555,
        0.0491506,
        0.0493308,
        0.0489505,
        0.0487478,
        0.0489743,
        0.049119,
        0.0485667,
        0.0484297,
        0.0485528,
        0.0485232,
        0.0475821,
        0.0473683,
        0.0473722,
        0.0472725,
        0.0470256,
        0.0472305,
        0.0471428,
        0.0469617,
        0.0464727,
        0.0471009,
        0.0474027,
        0.0471701,
        0.0465653,
        0.0465351,
        0.0465134,
        0.0465128,
        0.0465402,
        0.0472795,
        0.0474625,
        0.0472959,
        0.0469705,
        0.0475104,
        0.0473404,
        0.0474991,
        0.0475976,
        0.047967,
        0.0483434,
        0.0486885,
        0.048145,
        0.0475403,
        0.0467924,
        0.0466546,
        0.0463927,
        0.0466601,
        0.0456828,
        0.0449648,
        0.0450646,
        0.0445756,
        0.0441781,
        0.0441661,
        0.0442362,
        0.0443243,
        0.0442241,
        0.0437628,
        0.0434418,
        0.043228,
        0.0434379,
        0.0439914,
        0.0435762,
        0.0435264,
        0.0430127,
        0.0436981,
        0.0437434,
        0.0436312,
        0.0437338,
        0.0439341,
        0.0437421,
        0.0432046,
        0.043122,
        0.0429408,
        0.0425762,
        0.0427342,
        0.0454488,
        0.0459878,
        0.0454722,
        0.0443477,
        0.0429085,
        0.042923,
        0.0425257,
        0.0428658,
        0.0425127,
        0.0429027,
        0.0433596,
        0.0435782,
        0.0447582,
        0.0438682,
        0.0435839,
        0.0437218,
        0.0436868,
        0.0429219,
        0.0431377,
        0.0433395,
        0.0433195,
        0.0427313,
        0.0430046,
        0.0433882,
        0.0433721,
        0.0431883,
        0.0434564,
        0.043695,
        0.0436876,
        0.0434643,
        0.0433418,
        0.0436692,
        0.0434223,
        0.0431825,
        0.0428998,
        0.042831,
        0.0427143,
        0.0434404,
        0.0459364,
        0.0457843,
        0.0428296,
        0.0424563,
        0.042655,
        0.0438695,
        0.0434364,
        0.0429636,
        0.0429733,
        0.0422344,
        0.0420095,
        0.0420891,
        0.0418028,
        0.0416871,
        0.0412126,
        0.0409995,
        0.0411255,
        0.0413489,
        0.0410513,
        0.0410413,
        0.0410122,
        0.0411975,
        0.0405126,
        0.0406069,
        0.0417631,
        0.0413747,
        0.0415498,
        0.0421633,
        0.0425289,
        0.0429938,
        0.043269,
        0.0438962,
        0.0435762,
        0.0429515,
        0.0430056,
        0.0429631,
        0.0422695,
        0.0419718,
        0.0415201,
        0.0424662,
        0.0427828,
        0.0423513,
        0.0422803,
        0.0425455,
        0.0424408,
        0.0423295,
        0.0422836,
        0.0424988,
        0.0471728,
        0.0469003,
        0.0428298,
        0.0427868,
        0.0443758,
        0.0442564,
        0.0454989,
        0.0461065,
        0.0428385,
        0.0434969,
        0.0435263,
        0.0434997,
        0.0434061,
        0.0443385,
        0.0442942,
        0.044416,
        0.0444031,
        0.0449253,
        0.0447297,
        0.0452468,
        0.0460597,
        0.045677,
        0.0446433,
        0.0435409,
        0.0429597,
        0.042587,
        0.0421515,
        0.0419199,
        0.0417353,
        0.0418195,
        0.0413907,
        0.0413426,
        0.0411917,
        0.0409188,
        0.0411497,
        0.0413894,
        0.0414597,
        0.0410471,
        0.0413955,
        0.0413318,
        0.0406304,
        0.0405137,
        0.0403764,
        0.0406418,
        0.0410227,
        0.0408118,
        0.0406562,
        0.0406989,
        0.0408891,
        0.04238,
        0.0422565,
        0.042239,
        0.0425504,
        0.0422483,
        0.0416506,
        0.0422387,
        0.0425901,
        0.0427053,
        0.0432407,
        0.0434878,
        0.0438171,
        0.0444743,
        0.0449684,
        0.0451352,
        0.0470625,
        0.0462943,
        0.0440381,
        0.0439795,
        0.0431458,
        0.0434833,
        0.0428465,
        0.0433026,
        0.0442213,
        0.0442647,
        0.0435602,
        0.0431632,
        0.0431727,
        0.0433797,
        0.0435875,
        0.0441777,
        0.0438665,
        0.0439689,
        0.0442234,
        0.0444646,
        0.044215,
        0.0438869,
        0.0434712,
        0.0434383,
        0.0439492,
        0.044057,
        0.0435462,
        0.0427325,
        0.0434197,
        0.0436113,
        0.0431929,
        0.0424093,
        0.0420641,
        0.0418435,
        0.041867,
        0.0420605,
        0.0421253,
        0.0422745,
        0.0422249,
        0.0424387,
        0.0420421,
        0.0422323,
        0.0424241,
        0.0423052,
        0.0428491,
        0.0424936,
        0.0459686,
        0.0449073,
        0.0453847,
        0.0445474,
        0.0435395,
        0.0435718,
        0.047571,
        0.0483809,
        0.0444893,
        0.0447872,
        0.0448057,
        0.0449895,
        0.0450557,
        0.0447642,
        0.0454858,
        0.0505129,
        0.0494704,
        0.0462943,
        0.0465064,
        0.0468914,
        0.0472654,
        0.0479256,
        0.0473538,
        0.0471779,
        0.0475156,
        0.0474382,
        0.0464371,
        0.0456252,
        0.0455232,
        0.0458846,
        0.0486544,
        0.0468197,
        0.0453585,
        0.0445271,
        0.0439668,
        0.043935,
        0.0438728,
        0.044168,
        0.0440631,
        0.0441772,
        0.0437846,
        0.0435299,
        0.0438264,
        0.0455435,
        0.0458027,
        0.044132,
        0.0435953,
        0.0434218,
        0.0440219,
        0.0446276,
        0.0444845,
        0.0444971,
        0.0448059,
        0.0451372,
        0.045039,
        0.0449736,
        0.0453951,
        0.0458687,
        0.0471655,
        0.0467959,
        0.0500003,
        0.0493351,
        0.0456044,
        0.0458305,
        0.0456363,
        0.0453349,
        0.0449395,
        0.0488149,
        0.0483958,
        0.0451807,
        0.0457087,
        0.0460299,
        0.0458763,
        0.046076,
        0.0457307,
        0.0460945,
        0.0460247,
        0.0465162,
        0.0466179,
        0.0469399,
        0.0468276,
        0.0469053,
        0.0471482,
        0.0497017,
        0.0496445,
        0.0471175,
        0.0469689,
        0.0469002,
        0.0474491,
        0.048133,
        0.0483469,
        0.047838,
        0.048338,
        0.0486581,
        0.0489378,
        0.0484467,
        0.0481353,
        0.0482654,
        0.047774,
        0.0485796,
        0.0517811,
        0.0493507,
        0.0484021,
        0.0485783,
        0.049115,
        0.0493302,
        0.0488097,
        0.0484226,
        0.0483092,
        0.0504904,
        0.0549942,
        0.0532751,
        0.0469441,
        0.047813,
        0.0492584,
        0.0494833,
        0.049313,
        0.052245,
        0.0520075,
        0.0483126,
        0.0480335,
        0.0483366,
        0.0491682,
        0.0496206,
        0.0498049,
        0.0499934,
        0.0499795,
        0.0497369,
        0.0501686,
        0.0509282,
        0.0511512,
        0.0508623,
        0.0512745,
        0.0521346,
        0.0526389,
        0.0527874,
        0.0530717,
        0.0532502,
        0.0543745,
        0.0545689,
        0.0545623,
        0.0551234,
        0.0553579,
        0.0556256,
        0.0545501,
        0.0549331,
        0.0552764,
        0.0562291,
        0.0556508,
        0.0561806,
        0.0563384,
        0.0563093,
        0.0559423,
        0.0562098,
        0.0565236,
        0.0577299,
        0.0583762,
        0.0580835,
        0.0579875,
        0.0575485,
        0.0571174,
        0.0578941,
        0.0572887,
        0.056746,
        0.0571162,
        0.0574635,
        0.0570594,
        0.0572505,
        0.0573123,
        0.0580524,
        0.0573022,
        0.057939,
        0.0586772,
        0.0601585,
        0.0596644,
        0.0595157,
        0.0588815,
        0.0591021,
        0.0589967,
        0.0587187,
        0.0586862,
        0.0595636,
        0.0604888,
        0.0670313,
        0.0667346,
        0.0597386,
        0.0634995,
        0.0646663,
        0.0629797,
        0.0633367,
        0.0634744,
        0.0636806,
        0.0642928,
        0.0653552,
        0.0665109,
        0.0661708,
        0.0662114,
        0.0751258,
        0.075245,
        0.0697031,
        0.0700877,
        0.0707685,
        0.0698892,
        0.0700458,
        0.0711922,
        0.0704527,
        0.0707212,
        0.0715765,
        0.0731371,
        0.0743335,
        0.0737718,
        0.0746833,
        0.0760034,
        0.0754297,
        0.0755949,
        0.0769235,
        0.0773814,
        0.077492,
        0.0774038,
        0.0775154,
        0.0778385,
        0.0783648,
        0.0796691,
        0.0792074,
        0.0792442,
        0.0794209,
        0.0802054,
        0.0826233,
        0.0839847,
        0.0856571,
        0.0849437,
        0.084141,
        0.0851023,
        0.0942654,
        0.0953701,
        0.0889892,
        0.0887686,
        0.0892101,
        0.0912914,
        0.0920508,
        0.0926898,
        0.0946091,
        0.0952829,
        0.0972783,
        0.098357,
        0.100149,
        0.102386,
        0.105034,
        0.108841,
        0.110138,
        0.111648,
        0.112914,
        0.116024,
        0.119129,
        0.122964,
        0.127436,
        0.143755,
        0.148071,
        0.139088,
        0.15737,
        0.156098,
        0.14898,
        0.155438,
        0.162422,
        0.170031,
        0.180889,
        0.187995,
        0.1942,
        0.22131,
        0.237541,
        0.237306,
        0.25348,
        0.272985,
        0.301838,
        null,
        0.290037,
        0.282819,
        0.269668,
        0.264596,
        0.262317,
        0.255235,
        0.254991,
        0.246141,
        0.260326,
        0.219678,
        0.218314,
        0.221446,
        0.214517,
        0.198829,
        0.192148,
        0.191304,
        0.191974,
        0.188393,
        0.182147,
        0.176438,
        0.174128,
        0.169022,
        0.172561,
        0.170105,
        0.173716,
        0.180909,
        0.173318,
        0.157279,
        0.153573,
        0.149057,
        0.147929,
        0.144258,
        0.143278,
        0.142696,
        0.148398,
        0.148296,
        0.138136,
        0.133985,
        0.133769,
        0.134941,
        0.132674,
        0.12983,
        0.138432,
        0.13913,
        0.128825,
        0.128057,
        0.137232,
        0.132986,
        0.12308,
        0.122497,
        0.124169,
        0.122076,
        0.118978,
        0.119016,
        0.118399,
        0.116711,
        0.127873,
        0.127378,
        0.119719,
        0.119242,
        0.120347,
        0.12286,
        0.119043,
        0.110073,
        0.108487,
        0.105847,
        0.104667,
        0.11513,
        0.115701,
        0.104824,
        0.102906,
        0.101621,
        0.113065,
        0.107124,
        0.0992565,
        0.0983326,
        0.0971079,
        0.0975763,
        0.0968639,
        0.0965003,
        0.0964848,
        0.0952993,
        0.0940202,
        0.0945493,
        0.0947924,
        0.0945937,
        0.0950352,
        0.0937528,
        0.0919896,
        0.0912872,
        0.0928188,
        0.0927264,
        0.0911217,
        0.0907408,
        0.0913981,
        0.0903431,
        0.0883545,
        0.0882908,
        0.0907917,
        0.0983234,
        0.096319,
        0.0886125,
        0.0898374,
        0.088551,
        0.0899248,
        0.0904497,
        0.0893513,
        0.0895533,
        0.0900743,
        0.0900281,
        0.0891161,
        0.0892138,
        0.0892158,
        0.0882711,
        0.089496,
        0.0895097,
        0.0886344,
        0.088087,
        0.0880805,
        0.0890861,
        0.0889581,
        0.0882156,
        0.089373,
        0.0891854,
        0.0870041,
        0.0862848,
        0.0866294,
        0.0885965,
        0.0873346,
        0.0850318,
        0.084216,
        0.0883152,
        0.0879218,
        0.0832096,
        0.0835721,
        0.0834338,
        0.0841886,
        0.0846487,
        0.0841638,
        0.0846252,
        0.0908005,
        0.0897772,
        0.083444,
        0.0826566,
        0.0885455,
        0.0897134,
        0.0833793,
        0.0841918,
        0.0906703,
        0.0912992,
        0.0844881,
        0.0825672,
        0.0834782,
        0.0842836,
        0.086278,
        0.0872431,
        0.0881621,
        0.0885245,
        0.0877388,
        0.0863159,
        0.0861585,
        0.0854619,
        0.0846654,
        0.0832755,
        0.0830841,
        0.0829333,
        0.0825307,
        0.0824768,
        0.0841681,
        0.0882638,
        0.0844928,
        0.0838034,
        0.0851452,
        0.0849103,
        0.0845011,
        0.0836642,
        0.0834674,
        0.0844735,
        0.0847325,
        0.0846358,
        0.0844036,
        0.0844639,
        0.084461,
        0.0843427,
        0.0859289,
        0.0869117,
        0.0861461,
        0.0865804,
        0.0855609,
        0.0857864,
        0.0854659,
        0.0849912,
        0.0866425,
        0.0873771,
        0.0860736,
        0.08343,
        0.0841716,
        0.0866407,
        0.0887475,
        0.0869144,
        0.0868759,
        0.0858824,
        0.0859681,
        0.085925,
        0.0855226,
        0.0867955,
        0.0856608,
        0.0858723,
        0.0867634,
        0.0873536,
        0.0873047,
        0.0869655,
        0.0871597,
        0.0886311,
        0.089206,
        0.0892657,
        0.0891144,
        0.0889446,
        0.0883053,
        0.0940927,
        0.0951394,
        0.0895484,
        0.0897893,
        0.090439,
        0.091516,
        0.0922908,
        0.0922812,
        0.0914116,
        0.0914056,
        0.0936868,
        0.0963211,
        0.0970714,
        0.0987619,
        0.100851,
        0.100616,
        0.0999777,
        0.101954,
        0.102074,
        0.104521,
        0.104594,
        0.105493,
        0.105888,
        0.106858,
        0.106072,
        0.107275,
        0.108666,
        0.111899,
        0.11322,
        0.114602,
        0.117292,
        0.117387,
        0.11883,
        0.119315,
        0.12051,
        0.122241,
        0.122815,
        0.124592,
        0.127654,
        0.128766,
        0.141577,
        0.142789,
        0.135226,
        0.134819,
        0.133842,
        0.136895,
        0.139964,
        0.142467,
        0.145708,
        0.150628,
        0.155967,
        0.160932,
        0.161362,
        0.16182,
        0.173662,
        0.199807,
        0.206727,
        0.179544,
        0.181419,
        0.182544,
        0.188474,
        0.190787,
        0.192205,
        0.199066,
        0.205708,
        0.211681,
        0.216001,
        0.217369,
        0.22504,
        0.254231,
        0.26181,
        0.273574,
        0.285413,
        0.294416,
        0.311066,
        0.32053,
        null,
        0.303263,
        0.295109,
        0.285195,
        0.253884,
        0.239948,
        0.233388,
        0.227576,
        0.218896,
        0.218608,
        0.216617,
        0.208067,
        0.196412,
        0.191312,
        0.187692,
        0.182969,
        0.17853,
        0.171903,
        0.164375,
        0.161219,
        0.163183,
        0.17871,
        0.172832,
        0.154846,
        0.152601,
        0.146592,
        0.144416,
        0.144482,
        0.142399,
        0.140712,
        0.140409,
        0.138389,
        0.136206,
        0.132712,
        0.129885,
        0.128468,
        0.129832,
        0.129234,
        0.131904,
        0.133139,
        0.127486,
        0.123756,
        0.12426,
        0.12407,
        0.120566,
        0.12012,
        0.12135,
        0.119502,
        0.116831,
        0.115407,
        0.116593,
        null,
        0.0652411,
        0.0648745,
        0.0654413,
        0.0655317,
        0.0659004,
        0.0661143,
        0.0675577,
        0.067232,
        0.0664841,
        0.0707492,
        0.0717605,
        0.070157,
        0.0658661,
        0.0661246,
        0.0663325,
        0.0672459,
        0.0667164,
        0.0659853,
        0.0649884,
        0.0643889,
        0.0643681,
        0.0645385,
        0.0648661,
        0.065484,
        0.0653475,
        0.0653994,
        0.0650572,
        0.0651479,
        0.070819,
        0.0708914,
        0.0660206,
        0.0660899,
        0.0666213,
        0.0670398,
        0.0675438,
        0.0684114,
        0.0695296,
        0.0710667,
        0.0724522,
        0.0740841,
        0.0753378,
        0.0778223,
        0.0824708,
        0.0872507,
        0.0913051,
        0.0949533,
        0.0990081,
        0.101235,
        0.103998,
        0.10586,
        0.107728,
        0.107867,
        0.107364,
        0.107009,
        0.106488,
        0.106959,
        0.102897,
        0.100648,
        0.0971376,
        0.0913017,
        0.085926,
        0.0817342,
        0.0762559,
        0.0760532,
        0.0750721,
        0.0702429,
        0.0684158,
        0.0681277,
        0.0679963,
        0.068307,
        0.0690171,
        0.0689919,
        0.0689647,
        0.0690078,
        0.0696969,
        0.0692701,
        0.0682591,
        0.0670707,
        0.0659361,
        0.064816,
        0.063531,
        0.0622982,
        0.0616995,
        0.0609547,
        0.0604351,
        0.0593933,
        0.0589773,
        0.058164,
        0.0580195,
        0.0579343,
        0.0575198,
        0.0575591,
        0.0573046,
        0.0565006,
        0.0564007,
        0.0581831,
        0.0573147,
        0.0567514,
        0.0564935,
        0.0565289,
        0.0561349,
        0.0556858,
        0.0557609,
        0.0560729,
        0.0557535,
        0.0560674,
        0.0561366,
        0.0553373,
        0.0556002,
        0.0579446,
        0.0550578,
        0.0552645,
        0.0557807,
        0.0552933,
        0.0551117,
        0.0549004,
        0.0553445,
        0.0559105,
        0.0562447,
        0.0558894,
        0.0561119,
        0.0562843,
        0.0564683,
        0.0560787,
        0.055809,
        0.0563901,
        0.0562814,
        0.0562995,
        0.0563564,
        0.0561506,
        0.0556483,
        0.0548614,
        0.0549349,
        0.0556733,
        0.0602266,
        0.0550998,
        0.054707,
        0.0547965,
        0.0549211,
        0.0552455,
        0.0551225,
        0.0554996,
        0.0550728,
        0.0545126,
        0.0542428,
        0.0538705,
        0.0540397,
        0.0541798,
        0.0535695,
        0.0531489,
        0.053324,
        0.0534861,
        0.0534008,
        0.0529447,
        0.0528781,
        0.0524255,
        0.0520601,
        0.0518449,
        0.0519838,
        0.0519089,
        0.0519642,
        0.0522273,
        0.052091,
        0.0522403,
        0.0521553,
        0.0519521,
        0.0522003,
        0.0526649,
        0.052828,
        0.0530952,
        0.0538451,
        0.0544438,
        0.0545081,
        0.0541131,
        0.0538345,
        0.0543636,
        0.054769,
        0.0551106,
        0.0551459,
        0.0548251,
        0.0550949,
        0.0548688,
        0.0542242,
        0.0539997,
        0.0542722,
        0.0546532,
        0.0544142,
        0.0545841,
        0.0542337,
        0.0556418,
        0.05516,
        0.0543761,
        0.0543755,
        0.0554822,
        0.0606728,
        0.0594941,
        0.0581261,
        0.0572321,
        0.0545236,
        0.0542949,
        0.0546449,
        0.0550098,
        0.0554928,
        0.0564632,
        0.0572119,
        0.057904,
        0.0593851,
        0.0619296,
        0.0644193,
        0.0664952,
        0.068349,
        0.0721529,
        0.0758829,
        0.0798667,
        0.0822156,
        0.0827903,
        0.0812897,
        0.0777851,
        0.0729081,
        0.0681883,
        0.0654053,
        0.0632296,
        0.0610696,
        0.0585668,
        0.0568324,
        0.0556943,
        0.0552838,
        0.0543652,
        0.0533859,
        0.0529032,
        0.053245,
        0.0532895,
        0.052911,
        0.052521,
        0.0528202,
        0.0532125,
        0.0533043,
        0.0532441,
        0.0537652,
        0.0536445,
        0.0535828,
        0.0539911,
        0.0543012,
        0.0547592,
        0.0569468,
        0.0560161,
        0.0561771,
        0.0566195,
        0.0606345,
        0.0612438,
        0.0588805,
        0.0590098,
        0.0595391,
        0.059899,
        0.0586165,
        0.0565979,
        0.0557027,
        0.0548811,
        0.0533696,
        0.0528427,
        0.0519536,
        0.0509758,
        0.0503283,
        0.0502814,
        0.0500841,
        0.0491288,
        0.0489694,
        0.0488357,
        0.0483957,
        0.0483233,
        0.0481158,
        0.0478847,
        0.0475107,
        0.0474323,
        0.0474986,
        0.0475809,
        0.0475871,
        0.0470978,
        0.0470646,
        0.0473724,
        0.0476019,
        0.0475711,
        0.0479677,
        0.0481711,
        0.0477558,
        0.0475892,
        0.0474954,
        0.0476865,
        0.0476509,
        0.0474317,
        0.047087,
        0.0509311,
        0.051254,
        0.0482667,
        0.0483131,
        0.0478169,
        0.0477221,
        0.0479994,
        0.0485159,
        0.048965,
        0.0489461,
        0.0489826,
        0.0492613,
        0.0488329,
        0.0494041,
        0.0504327,
        0.0515994,
        0.0535668,
        0.0562874,
        0.0574075,
        0.0571156,
        0.0554771,
        0.0536938,
        0.0514433,
        0.0500673,
        0.0490672,
        0.0488366,
        0.0487714,
        0.0483283,
        0.0482348,
        0.0482496,
        0.0480094,
        0.0520053,
        0.0550437,
        0.051683,
        0.0504116,
        0.0516005,
        0.0524024,
        0.0543139,
        0.0570055,
        0.058929,
        0.0604241,
        0.0607363,
        0.0593944,
        0.0577632,
        0.0563982,
        0.0548549,
        0.052913,
        0.0519044,
        0.0502985,
        0.0493539,
        0.0488099,
        0.0485559,
        0.0477141,
        0.0471763,
        0.0465898,
        0.0462907,
        0.0466174,
        0.0466329,
        0.0464263,
        0.0462698,
        0.0461141,
        0.0464461,
        0.0467434,
        0.0465251,
        0.0464661,
        0.0468859,
        0.0482541,
        0.0486547,
        0.0479126,
        0.0475768,
        0.0473026,
        0.0474255,
        0.0473676,
        0.0471365,
        0.046606,
        0.0472254,
        0.0473919,
        0.0478582,
        0.0478783,
        0.0479438,
        0.0484602,
        0.0486063,
        0.0488244,
        0.0490191,
        0.0488912,
        0.0482232,
        0.0482153,
        0.0478887,
        0.0472342,
        0.0466942,
        0.0481806,
        0.0473454,
        0.0457725,
        0.0459566,
        0.0457647,
        0.0457161,
        0.0457583,
        0.0457541,
        0.0457252,
        0.0457312,
        0.0455587,
        0.0458167,
        0.0465681,
        0.0467943,
        0.0465737,
        0.047125,
        0.0484256,
        0.0496094,
        0.0509987,
        0.0528343,
        0.0558057,
        0.0628361,
        0.0718745,
        0.0727954,
        0.074695,
        0.0760078,
        0.0730247,
        0.0691929,
        0.0635559,
        0.0583944,
        0.0554045,
        0.052796,
        0.0505032,
        0.0496392,
        0.048684,
        0.048004,
        0.0476796,
        0.0471675,
        0.0466467,
        0.0465529,
        0.0465447,
        0.0467174,
        0.0463526,
        0.0461052,
        0.0458422,
        0.0460418,
        0.0457433,
        0.0461984,
        0.0463917,
        0.0460377,
        0.0460184,
        0.0461922,
        0.0464322,
        0.0479785,
        0.0469437,
        0.0462395,
        0.0466981,
        0.0469702,
        0.0464991,
        0.0468898,
        0.0469645,
        0.0470972,
        0.046485,
        0.0461661,
        0.0460327,
        0.0462048,
        0.0463594,
        0.0480939,
        0.046411,
        0.0461084,
        0.0461304,
        0.0464481,
        0.046439,
        0.0475134,
        0.048182,
        0.0488098,
        0.0509262,
        0.0514085,
        0.0521807,
        0.0576758,
        0.0563732,
        0.0600558,
        0.064267,
        0.0699863,
        0.0782386,
        0.0984199,
        0.111611,
        0.141729,
        0.188307,
        0.250803,
        0.306056,
        0.233254,
        0.175506,
        0.135344,
        0.112295,
        0.0917109,
        0.0784378,
        0.0700874,
        0.0643938,
        0.0602194,
        0.056604,
        0.0545458,
        0.0527712,
        0.0518557,
        0.0533934,
        0.0521273,
        0.0485851,
        0.0482411,
        0.0467547,
        0.0456621,
        0.0458476,
        0.0454932,
        0.044639,
        0.0445355,
        0.0442911,
        0.0439066,
        0.0435224,
        0.0433238,
        0.0427475,
        0.044687,
        0.0443797,
        0.0417935,
        0.0418674,
        0.0421834,
        0.0420168,
        0.041248,
        0.0409373,
        0.0411345,
        0.040878,
        0.0404605,
        0.0400072,
        0.0396538,
        0.0392603,
        0.0396402,
        0.0399478,
        0.0397966,
        0.0395271,
        0.0401017,
        0.0399733,
        0.0399945,
        0.039887,
        0.03958,
        0.0400642,
        0.0403242,
        0.0411202,
        0.0412402,
        0.041049,
        0.0408572,
        0.0408537,
        0.0417327,
        0.0416797,
        0.0409377,
        0.0406551,
        0.0412849,
        0.0407602,
        0.0407512,
        0.0411547,
        0.041308,
        0.0415308,
        0.0414568,
        0.0411471,
        0.0416412,
        0.0422118,
        0.0422007,
        0.0423346,
        0.0420357,
        0.0433726,
        0.0434081,
        0.0431212,
        0.0427915,
        0.0424599,
        0.0420808,
        0.0416973,
        0.0416523,
        0.0443517,
        0.0439924,
        0.0407221,
        0.0406361,
        0.0409408,
        0.0410038,
        0.040486,
        0.0404524,
        0.0397922,
        0.0398636,
        0.0398583,
        0.0396671,
        0.0399887,
        0.0401224,
        0.0428121,
        0.0418677,
        0.0392989,
        0.039124,
        0.0389561,
        0.0391728,
        0.0390978,
        0.0391736,
        0.039202,
        0.0389532,
        0.0389758,
        0.0389003,
        0.0385271,
        0.0385732,
        0.0388382,
        0.0388794,
        0.0386503,
        0.0386302,
        0.0387461,
        0.0387784,
        0.0391224,
        0.0388344,
        0.0387996,
        0.0389347,
        0.0387239,
        0.0391863,
        0.0394218,
        0.039676,
        0.039717,
        0.0395373,
        0.0395638,
        0.0393106,
        0.0397862,
        0.0396185,
        0.0393134,
        0.0393532,
        0.0397845,
        0.0398552,
        0.040061,
        0.0399407,
        0.0403771,
        0.0403704,
        0.0400132,
        0.0397705,
        0.0396609,
        0.0397092,
        0.0392849,
        0.0394806,
        0.0394029,
        0.0394008,
        0.0395222,
        0.0393364,
        0.0393464,
        0.039666,
        0.0389336,
        0.0423897,
        0.0412715,
        0.0386725,
        0.0383233,
        0.0384183,
        0.0381033,
        0.0382968,
        0.0383015,
        0.038253,
        0.037712,
        0.0379296,
        0.0380946,
        0.0378716,
        0.0380136,
        0.0386625,
        0.0386228,
        0.038187,
        0.0387208,
        0.0382431,
        0.0379836,
        0.038002,
        0.0380816,
        0.0384367,
        0.0388599,
        0.0382364,
        0.038018,
        0.038187,
        0.0384846,
        0.0383764,
        0.0386808,
        0.0393349,
        0.0396942,
        0.0402365,
        0.0406747,
        0.0410493,
        0.0411247,
        0.0414811,
        0.0415517,
        0.0417881,
        0.0416117,
        0.041834,
        0.0420111,
        0.0438857,
        0.04361,
        0.0407303,
        0.0401224,
        0.0401777,
        0.040423,
        0.0398426,
        0.039326,
        0.0395406,
        0.0398685,
        0.0395483,
        0.0394787,
        0.0397787,
        0.0393385,
        0.039492,
        0.0394753,
        0.0395549,
        0.0392328,
        0.0388322,
        0.0386038,
        0.0387784,
        0.0383728,
        0.0386486,
        0.0385055,
        0.038327,
        0.0380447,
        0.0378659,
        0.037729,
        0.0379783,
        0.0377246,
        0.0375462,
        0.0373241,
        0.0378797,
        0.0393086,
        0.0383821,
        0.0367372,
        0.0371091,
        0.0370381,
        0.0374594,
        0.0375052,
        0.0375745,
        0.0416369,
        0.0419305,
        0.0368716,
        0.0372156,
        0.0373492,
        0.0375258,
        0.0372939,
        0.0372965,
        0.0374956,
        0.0378604,
        0.0408312,
        0.0414521,
        0.038319,
        0.0377293,
        0.0375567,
        0.0380768,
        0.0384279,
        0.0389533,
        0.0392924,
        0.0391143,
        0.0390019,
        0.0391991,
        0.0388939,
        0.0389556,
        0.0392408,
        0.0395435,
        0.0395698,
        0.0394908,
        0.0398433,
        0.0402304,
        0.0402578,
        0.0435053,
        0.0440377,
        0.0414053,
        0.0413873,
        0.0411582,
        0.0404529,
        0.0406663,
        0.040009,
        0.0394192,
        0.0395654,
        0.0390882,
        0.0388083,
        0.0388788,
        0.0386734,
        0.0382507,
        0.0380779,
        0.0381257,
        0.0376676,
        0.0377744,
        0.0375343,
        0.0374227,
        0.0372371,
        0.0372735,
        0.0371658,
        0.0373092,
        0.0372817,
        0.0377975,
        0.0375689,
        0.0368912,
        0.0394315,
        0.0400103,
        0.0380998,
        0.0367928,
        0.0371385,
        0.0375615,
        0.0377772,
        0.0376214,
        0.0376886,
        0.0379379,
        0.0379255,
        0.0380311,
        0.0381989,
        0.0384216,
        0.0385034,
        0.0389892,
        0.038851,
        0.0391751,
        0.0390935,
        0.0391518,
        0.0391028,
        0.039074,
        0.0392561,
        0.0395135,
        0.0409905,
        0.0405988,
        0.039478,
        0.0395195,
        0.0394605,
        0.0393067,
        0.0392286,
        0.0395204,
        0.0394878,
        0.0397184,
        0.0394691,
        0.0396192,
        0.0397965,
        0.0399256,
        0.0402183,
        0.0397695,
        0.0395884,
        0.0457796,
        0.0461284,
        0.0400786,
        0.0406881,
        0.0401739,
        0.0403386,
        0.0401487,
        0.0400539,
        0.0407057,
        0.0409436,
        0.0411371,
        0.040939,
        0.0417034,
        0.0429108,
        0.0437471,
        0.0460445,
        0.0467247,
        0.0471484,
        0.048063,
        0.0501784,
        0.0535257,
        0.0575756,
        0.0616779,
        0.0662236,
        0.0694332,
        0.0716302,
        0.0719403,
        0.0689893,
        0.0656048,
        0.061445,
        0.0567781,
        0.0532865,
        0.0504155,
        0.0539415,
        0.0505461,
        0.0458406,
        0.0444899,
        0.0439523,
        0.0434077,
        0.0422164,
        0.041888,
        0.0417766,
        0.0413795,
        0.04113,
        0.0410513,
        0.0408991,
        0.0407036,
        0.0408312,
        0.0430882,
        0.0421791,
        0.0410086,
        0.0425528,
        0.0409882,
        0.0395199,
        0.0394768,
        0.0399014,
        0.0418228,
        0.0412281,
        0.0398652,
        0.0400364,
        0.039886,
        0.0389429,
        0.0399999,
        0.0402511,
        0.0397262,
        0.0391568,
        0.0394225,
        0.0392692,
        0.0396788,
        0.0412639,
        0.0410606,
        0.0395937,
        0.0395014,
        0.0392256,
        0.0392056,
        0.039171,
        0.0391806,
        0.0393899,
        0.03979,
        0.0414644,
        0.0412677,
        0.0385921,
        0.0388374,
        0.0395136,
        0.0397753,
        0.0393794,
        0.0390032,
        0.0388297,
        0.0390885,
        0.0389021,
        0.0392897,
        0.0395461,
        0.0393295,
        0.03913,
        0.0394744,
        0.0396945,
        0.045004,
        0.045104,
        0.0400849,
        0.0399363,
        0.0404517,
        0.0414909,
        0.042009,
        0.0413801,
        0.0464117,
        0.0458395,
        0.0414262,
        0.0417629,
        0.042009,
        0.0423134,
        0.0461571,
        0.046948,
        0.0424627,
        0.0424426,
        0.0430035,
        0.043489,
        0.0435331,
        0.0435362,
        0.0445241,
        0.044797,
        0.0445481,
        0.0444458,
        0.0449508,
        0.045176,
        0.0455474,
        0.0458296,
        0.0459177,
        0.0458768,
        0.0455446,
        0.045416,
        0.0451614,
        0.045079,
        0.0449848,
        0.0450757,
        0.0451313,
        0.0457686,
        0.0458951,
        0.046045,
        0.0457612,
        0.0455341,
        0.0489059,
        0.0499163,
        0.0476228,
        0.0472144,
        0.0474482,
        0.0475276,
        0.0484254,
        0.0496312,
        0.0496846,
        0.0496879,
        0.0503766,
        0.0506028,
        0.0505424,
        0.0512512,
        0.0519853,
        0.0528925,
        0.0545707,
        0.0570742,
        0.0625911,
        0.0616573,
        0.0594831,
        0.062285,
        0.0626762,
        0.0640548,
        0.0657257,
        0.0680389,
        0.0696222,
        0.0722353,
        0.0765305,
        0.0802942,
        0.0832741,
        0.0879653,
        0.092526,
        0.104653,
        0.107897,
        0.109107,
        0.122072,
        0.133659,
        0.158507,
        0.175392,
        0.182985,
        0.211911,
        0.252397,
        0.316667,
        0.267003,
        0.222633,
        0.188846,
        0.163831,
        0.146141,
        0.133068,
        0.122086,
        0.115197,
        0.107347,
        0.0999929,
        0.0990585,
        0.0908608,
        0.0848175,
        0.080893,
        0.0770344,
        0.0748925,
        0.072284,
        0.0772517,
        0.0757346,
        0.0664512,
        0.0640864,
        0.0629875,
        0.0622874,
        0.0605024,
        0.0592342,
        0.0576515,
        0.056656,
        0.0556493,
        0.0543799,
        0.0538574,
        0.0535225,
        0.0529988,
        0.0534146,
        0.0523028,
        0.0518946,
        0.05192,
        0.0511869,
        0.0508306,
        0.0499356,
        0.0492593,
        0.0488455,
        0.0481924,
        0.048927,
        0.0480565,
        0.0468381,
        0.0463446,
        0.0452441,
        0.0457093,
        0.0454096,
        0.0454218,
        0.0443876,
        0.0443917,
        0.0442251,
        0.0442747,
        0.0438393,
        0.0433664,
        0.0427452,
        0.0423319,
        0.0421609,
        0.0418528,
        0.0416593,
        0.0415013,
        0.0413453,
        0.0414385,
        0.0409818,
        0.0406469,
        0.0409082,
        0.0411172,
        0.0410491,
        0.0413656,
        0.0414017,
        0.0412262,
        0.0435343,
        0.0428751,
        0.0419112,
        0.0417692,
        0.0418182,
        0.0419529,
        0.0423354,
        0.0423255,
        0.0427193,
        0.0430253,
        0.0434217,
        0.0423525,
        0.0428333,
        0.0430114,
        0.0439149,
        0.0443172,
        0.0461397,
        0.047581,
        0.0489726,
        0.0495244,
        0.0488783,
        0.0464192,
        0.0443436,
        0.0433226,
        0.0421106,
        0.0415935,
        0.0411963,
        0.0410939,
        0.0405583,
        0.0407925,
        0.0410577,
        0.0441339,
        0.0441707,
        0.041393,
        0.0412006,
        0.0412472,
        0.0415965,
        0.0415446,
        0.0415481,
        0.0417526,
        0.0418295,
        0.0423706,
        0.0429112,
        0.0434802,
        0.0440795,
        0.0435891,
        0.0429336,
        0.0426536,
        0.0424409,
        0.0411066,
        0.0399813,
        0.0397933,
        0.0393167,
        0.0391888,
        0.0395567,
        0.0412917,
        0.0409062,
        0.0415133,
        0.0413664,
        0.0386383,
        0.0434348,
        0.0430824,
        0.0386074,
        0.0388036,
        0.0384659,
        0.038318,
        0.0383835,
        0.038485,
        0.0386528,
        0.0390879,
        0.0388374,
        0.0386054,
        0.0382486,
        0.0387543,
        0.0387107,
        0.0383461,
        0.0385778,
        0.0391234,
        0.0400733,
        0.0395712,
        0.0393205,
        0.0404201,
        0.0420026,
        0.0408734,
        0.0406003,
        0.0402646,
        0.0397964,
        0.0396553,
        0.0393823,
        0.0400796,
        0.0400307,
        0.0399104,
        0.0400135,
        0.0400097,
        0.0400839,
        0.0401565,
        0.0401151,
        0.0395676,
        0.039822,
        0.0399923,
        0.0399957,
        0.0410646,
        0.0415257,
        0.0417566,
        0.0413913,
        0.0407967,
        0.0416403,
        0.0420721,
        0.0421519,
        0.0418821,
        0.0417209,
        0.0408269,
        0.0407521,
        0.0403963,
        0.0392777,
        0.0395072,
        0.0423852,
        0.042272,
        0.0393034,
        0.0401536,
        0.0417506,
        0.0420171,
        0.0442466,
        0.0431377,
        0.0386384,
        0.0385697,
        0.0388644,
        0.0391445,
        0.0394083,
        0.0392384,
        0.0391522,
        0.0389379,
        0.0389146,
        0.0391943,
        0.0393149,
        0.0394492,
        0.0441772,
        0.0439177,
        0.0391995,
        0.0391309,
        0.0398618,
        0.0397481,
        0.0397717,
        0.0397119,
        0.0399984,
        0.0397557,
        0.0397708,
        0.0399597,
        0.0399505,
        0.0402609,
        0.0404176,
        0.0405188,
        0.0401769,
        0.0417497,
        0.0416091,
        0.041233,
        0.0407919,
        0.0404622,
        0.0403565,
        0.0403594,
        0.0403822,
        0.0403871,
        0.0401133,
        0.0404939,
        0.040525,
        0.0406923,
        0.0406387,
        0.0403285,
        0.0402868,
        0.0400778,
        0.040305,
        0.0406476,
        0.0402331,
        0.0399286,
        0.0400345,
        0.0412297,
        0.0413872,
        0.0399897,
        0.0399958,
        0.0402388,
        0.0401373,
        0.0398217,
        0.0398589,
        0.0399564,
        0.0395537,
        0.0394646,
        0.0393612,
        0.0395867,
        0.0388536,
        0.0391119,
        0.0392366,
        0.0392348,
        0.0389229,
        0.0395196,
        0.038968,
        0.0392764,
        0.0391371,
        0.0389162,
        0.039154,
        0.0397407,
        0.0393905,
        0.0393401,
        0.0412839,
        0.0415289,
        0.0401691,
        0.0395516,
        0.0396174,
        0.0395169,
        0.0394578,
        0.0397631,
        0.0399471,
        0.0402835,
        0.0401553,
        0.0399235,
        0.0398343,
        0.0403139,
        0.0404673,
        0.0407719,
        0.0406366,
        0.0407843,
        0.0411043,
        0.0406679,
        0.0403865,
        0.0397452,
        0.0403475,
        0.040975,
        0.0442045,
        0.0438832,
        0.0407249,
        0.0408061,
        0.0452648,
        0.044794,
        0.0410006,
        0.0415315,
        0.0457784,
        0.044947,
        0.044545,
        0.0445287,
        0.0415366,
        0.0420598,
        0.0423851,
        0.0428837,
        0.0427139,
        0.0432457,
        0.0441627,
        0.0445327,
        0.0438383,
        0.0434868,
        0.0422365,
        0.0415102,
        0.0411194,
        0.0407324,
        0.0400825,
        0.0396602,
        0.039571,
        0.0395962,
        0.0399534,
        0.0396059,
        0.0401829,
        0.0396691,
        0.0397586,
        0.0396056,
        0.0396751,
        0.0394234,
        0.0393826,
        0.0392188,
        0.0395081,
        0.039493,
        0.0400668,
        0.0402284,
        0.0406628,
        0.0404026,
        0.0404425,
        0.0405164,
        0.0404864,
        0.0404231,
        0.040566,
        0.0410364,
        0.0404693,
        0.0408111,
        0.0409918,
        0.0409002,
        0.0409195,
        0.0403019,
        0.0404388,
        0.0411046,
        0.0437231,
        0.0423905,
        0.0413282,
        0.0416065,
        0.0417086,
        0.0412384,
        0.0412768,
        0.0411752,
        0.0409629,
        0.0412312,
        0.0410497,
        0.0411528,
        0.0415656,
        0.0412659,
        0.0409189,
        0.0410192,
        0.0408361,
        0.0411258,
        0.041061,
        0.0409139,
        0.0408538,
        0.0408714,
        0.0411488,
        0.0410982,
        0.0409169,
        0.0411345,
        0.0410145,
        0.0405591,
        0.040164,
        0.039756,
        0.0395236,
        0.0396136,
        0.0393293,
        0.039477,
        0.0400315,
        0.0402803,
        0.0402491,
        0.0404747,
        0.0401966,
        0.0402535,
        0.0401954,
        0.0411862,
        0.0409344,
        0.040671,
        0.0401537,
        0.0403326,
        0.0405694,
        0.0410482,
        0.0418454,
        0.0453092,
        0.0447212,
        0.0412354,
        0.0417172,
        0.0423748,
        0.0416336,
        0.0418407,
        0.0427501,
        0.0424537,
        0.0430139,
        0.0430028,
        0.0431815,
        0.0436349,
        0.0436398,
        0.0440014,
        0.0434764,
        0.0435577,
        0.0436619,
        0.0440664,
        0.0445033,
        0.044741,
        0.0453121,
        0.0446717,
        0.0439211,
        0.0438208,
        0.043921,
        0.0440136,
        0.044078,
        0.0441651,
        0.0441316,
        0.0439542,
        0.0435823,
        0.0434288,
        0.0431666,
        0.0426751,
        0.0422846,
        0.0448777,
        0.0436458,
        0.0424985,
        0.0420127,
        0.0425307,
        0.0425178,
        0.0435282,
        0.042027,
        0.0417792,
        0.0413053,
        0.0417246,
        0.0420587,
        0.0417991,
        0.0411423,
        0.0412859,
        0.0417561,
        0.0423794,
        0.041667,
        0.0420606,
        0.0425979,
        0.0420297,
        0.0420609,
        0.0429714,
        0.0427697,
        0.0424146,
        0.0420906,
        0.0423,
        0.0422263,
        0.0423203,
        0.0423269,
        0.0427904,
        0.0450833,
        0.0447255,
        0.0433194,
        0.044897,
        0.0430064,
        0.0425629,
        0.0438726,
        0.0445444,
        0.0438585,
        0.0438333,
        0.0446462,
        0.0440525,
        0.043141,
        0.0437484,
        0.0433484,
        0.043455,
        0.0436904,
        0.0442222,
        0.044202,
        0.04386,
        0.044059,
        0.0439883,
        0.0440763,
        0.0439538,
        0.0438083,
        0.0439052,
        0.0443539,
        0.0443041,
        0.0440701,
        0.0445568,
        0.044338,
        0.0446623,
        0.0482908,
        0.0482643,
        0.0445208,
        0.0446209,
        0.0447218,
        0.0450022,
        0.0451052,
        0.0454323,
        0.0456592,
        0.0466325,
        0.0478176,
        0.0485149,
        0.0494428,
        0.0523292,
        0.0520418,
        0.0489192,
        0.0479709,
        0.0510308,
        0.0498892,
        0.045497,
        0.0451938,
        0.0446743,
        0.0441977,
        0.0433567,
        0.0439059,
        0.0438561,
        0.0453097,
        0.0441638,
        0.0447917,
        0.0443221,
        0.0438443,
        0.0450599,
        0.0449321,
        0.0452449,
        0.0442342,
        0.0450154,
        0.0516047,
        0.0513162,
        0.0451488,
        0.0467591,
        0.0468172,
        0.0462348,
        0.045501,
        0.045715,
        0.0454457,
        0.0453897,
        0.045501,
        0.0461396,
        0.0461722,
        0.0455898,
        0.0467546,
        0.0489497,
        0.0466227,
        0.0460085,
        0.0458516,
        0.0460816,
        0.0459023,
        0.0461287,
        0.0496881,
        0.0515542,
        0.0474716,
        0.0470576,
        0.0466104,
        0.0499915,
        0.0493778,
        0.0457808,
        0.0459988,
        0.0461071,
        0.0459707,
        0.0457292,
        0.045992,
        0.0463363,
        0.0460297,
        0.046171,
        0.0460131,
        0.0462686,
        0.046266,
        0.0473474,
        0.0467075,
        0.0453788,
        0.0455747,
        0.0461861,
        0.0455949,
        0.0453995,
        0.045443,
        0.0454103,
        0.045233,
        0.0452317,
        0.0452358,
        0.045684,
        0.0456852,
        0.0459435,
        0.0460991,
        0.0458925,
        0.0463877,
        0.0458574,
        0.0456933,
        0.0456347,
        0.045975,
        0.0461418,
        0.0464168,
        0.0467749,
        0.0471592,
        0.0526301,
        0.0532063,
        0.0474687,
        0.0473127,
        0.0511821,
        0.0516682,
        0.0489039,
        0.0487618,
        0.0491832,
        0.0487613,
        0.0485829,
        0.0487866,
        0.0490882,
        0.0494031,
        0.050206,
        0.0491023,
        0.0489897,
        0.0491189,
        0.0498422,
        0.0503977,
        0.0495832,
        0.04854,
        0.0489525,
        0.0487842,
        0.0487431,
        0.0491312,
        0.0496717,
        0.0517494,
        0.0542341,
        0.0514564,
        0.0504023,
        0.0495775,
        0.0489093,
        0.0490641,
        0.0495863,
        0.0491451,
        0.0493067,
        0.049818,
        0.0496761,
        0.049252,
        0.0542893,
        0.055067,
        0.0491664,
        0.049346,
        0.0523761,
        0.052724,
        0.0491899,
        0.0492424,
        0.0497188,
        0.0495873,
        0.0494984,
        0.048552,
        0.0484865,
        0.0490146,
        0.0489863,
        0.0491262,
        0.0494493,
        0.0493409,
        0.0492136,
        0.0496274,
        0.0505124,
        0.049802,
        0.0502441,
        0.0504243,
        0.051238,
        0.0512901,
        0.0508066,
        0.0508819,
        0.0511097,
        0.0513332,
        0.0512998,
        0.0517123,
        0.0510897,
        0.0517996,
        0.0523627,
        0.0520951,
        0.0523572,
        0.0524993,
        0.0529725,
        0.0528249,
        0.053518,
        0.0537274,
        0.0541016,
        0.0536314,
        0.0537718,
        0.0535648,
        0.0539801,
        0.0539924,
        0.0545845,
        0.0541457,
        0.0540035,
        0.0538303,
        0.0549384,
        0.0552248,
        0.0556114,
        0.0601389,
        0.0602144,
        0.0582138,
        0.0564768,
        0.0572057,
        0.0576556,
        0.057906,
        0.0589837,
        0.0591497,
        0.0611312,
        0.0628382,
        0.0653869,
        0.0666148,
        0.0693931,
        0.0717719,
        0.0731186,
        0.0723216,
        0.0756328,
        0.0723882,
        0.0714401,
        0.0722979,
        0.0703954,
        0.0694399,
        0.0682823,
        0.0659474,
        0.0626958,
        0.0605977,
        0.0597081,
        0.0594431,
        0.065362,
        0.0653484,
        0.0600933,
        0.0592414,
        0.0570025,
        0.0569217,
        0.0572069,
        0.0573436,
        0.0573534,
        0.0593537,
        0.0595417,
        0.0577593,
        0.0578003,
        0.0584994,
        0.0591458,
        0.0583283,
        0.0573474,
        0.060338,
        0.0639933,
        0.0619007,
        0.0594755,
        0.0597364,
        0.0601818,
        0.0647217,
        0.0667271,
        0.0618639,
        0.0611266,
        0.0651805,
        0.0694333,
        0.0649771,
        0.0663932,
        0.0675261,
        0.0621122,
        0.0623096,
        0.06299,
        0.0632873,
        0.0631917,
        0.0637162,
        0.0653771,
        0.0657865,
        0.0660389,
        0.067222,
        0.0677106,
        0.0679528,
        0.0690631,
        0.0689369,
        0.0682237,
        0.0688659,
        0.0679742,
        0.0680642,
        0.0685182,
        0.0679152,
        0.0671775,
        0.0656364,
        0.0666798,
        0.0656943,
        0.0650453,
        0.0654831,
        0.0650754,
        0.0646719,
        0.0639501,
        0.0632443,
        0.0622232,
        0.062065,
        0.0626942,
        0.0638896,
        0.0647539,
        0.0652257,
        0.0659409,
        0.0656807,
        0.06576,
        0.0662669,
        0.0669215,
        0.0678932,
        0.0681255,
        0.0676842,
        0.0677741,
        0.0674369,
        0.0673226,
        0.066977,
        0.0664735,
        0.0669435,
        0.0687851,
        0.0699919,
        0.0697714,
        0.0705372,
        0.0708358,
        0.0706472,
        0.0725558,
        0.0737618,
        0.0731862,
        0.0723952,
        0.0716689,
        0.0735405,
        0.0755823,
        0.0763627,
        0.0775913,
        0.0774779,
        0.0775666,
        0.0780429,
        0.0779715,
        0.0773464,
        0.0769504,
        0.0771965,
        0.0768195,
        0.0777265,
        0.0781112,
        0.0795282,
        0.0802021,
        0.0805332,
        0.0826281,
        0.0846538,
        0.0842335,
        0.0865317,
        0.0879012,
        0.0858526,
        0.0838995,
        0.0828387,
        0.0816155,
        0.0807738,
        0.0801119,
        0.0796349,
        0.0782074,
        0.0772677,
        0.0759098,
        0.0760564,
        0.0770317,
        0.0777486,
        0.0777813,
        0.0775382,
        0.0768992,
        0.077534,
        0.0781352,
        0.0772027,
        0.0774815,
        0.0778869,
        0.0784164,
        0.078358,
        0.0781338,
        0.0809487,
        0.0825971,
        0.0797853,
        0.0794438,
        0.0800832,
        0.0811807,
        0.0821816,
        0.0891189,
        0.0904841,
        0.0861892,
        0.0861144,
        0.0853445,
        0.0859608,
        0.087666,
        0.0878758,
        0.088768,
        0.0896409,
        0.0914591,
        0.0901526,
        0.0890136,
        0.0890937,
        0.0899609,
        0.0902698,
        0.091851,
        0.0931116,
        0.0937768,
        0.0948709,
        0.0944118,
        0.0951106,
        0.0970344,
        0.0967998,
        0.0959473,
        0.0966853,
        0.0974964,
        0.0987796,
        0.0973407,
        0.098683,
        0.100429,
        0.101812,
        0.102639,
        0.10249,
        0.103451,
        0.103686,
        0.102916,
        0.10484,
        0.106127,
        0.109299,
        0.109255,
        0.107028,
        0.105085,
        0.106879,
        0.11063,
        0.114585,
        0.115221,
        0.114908,
        0.117675,
        0.119577,
        0.119709,
        0.122655,
        0.126448,
        0.131996,
        0.137339,
        0.140609,
        0.140062,
        0.139079,
        0.140678,
        0.140542,
        0.138967,
        0.13728,
        0.135892,
        0.136391,
        0.137249,
        0.15205,
        0.153225,
        0.139966,
        0.141556,
        0.146768,
        0.149823,
        0.152007,
        0.153406,
        0.15382,
        0.154052,
        0.154544,
        0.157362,
        0.159417,
        0.163705,
        0.169294,
        0.170194,
        0.169705,
        0.174023,
        0.174111,
        0.17921,
        0.186849,
        0.190459,
        0.191808,
        0.1933,
        0.196331,
        null,
        0.218382,
        0.21485,
        0.210144,
        0.204212,
        0.201734,
        0.200237,
        0.198788,
        0.195172,
        0.190621,
        0.190624,
        0.187452,
        0.182045,
        0.177643,
        0.175454,
        0.177001,
        0.178619,
        0.178824,
        0.175005,
        0.170483,
        0.167054,
        0.163523,
        0.160598,
        0.159602,
        0.158838,
        0.158572,
        0.156569,
        0.155131,
        0.15674,
        0.159608,
        0.161104,
        0.165925,
        0.172558,
        0.176517,
        0.17552,
        0.167982,
        0.166638,
        0.158122,
        0.146619,
        0.144641,
        0.143772,
        0.14227,
        0.136997,
        0.131736,
        0.13302,
        0.135244,
        0.135127,
        0.133684,
        0.13203,
        0.129189,
        0.126837,
        0.12683,
        0.127038,
        0.126899,
        0.124947,
        0.124346,
        0.12423,
        0.122705,
        0.12082,
        0.119822,
        0.119405,
        0.117875,
        0.11687,
        0.116413,
        0.115652,
        0.114175,
        0.112077,
        0.111048,
        0.112506,
        0.116497,
        0.11278,
        0.109959,
        0.106993,
        0.105489,
        0.105041,
        0.105111,
        0.105229,
        0.107003,
        0.102623,
        0.101942,
        0.101807,
        0.10195,
        0.100531,
        0.0993101,
        0.0984256,
        0.0982516,
        0.0991364,
        0.0995479,
        0.0992367,
        0.0988563,
        0.0980808,
        0.0967478,
        0.097293,
        0.0972802,
        0.0968021,
        0.0970304,
        0.0965014,
        0.0953192,
        0.0948838,
        0.0958465,
        0.0968144,
        0.0966665,
        0.0948963,
        0.0945217,
        0.0947517,
        0.0945444,
        0.0940065,
        0.0933074,
        0.0932167,
        0.0930679,
        0.0931029,
        0.0932635,
        0.0935092,
        0.0926873,
        0.0916737,
        0.0913477,
        0.0917823,
        0.0907562,
        0.0910401,
        0.0921993,
        0.0917086,
        0.0903049,
        0.0895989,
        0.0889332,
        0.0881756,
        0.0880949,
        0.0871004,
        0.0864854,
        0.0872294,
        0.0867371,
        0.0857594,
        0.0848186,
        0.0845483,
        0.0842314,
        0.0837188,
        0.0831426,
        0.083061,
        0.0834597,
        0.082267,
        0.0874606,
        0.0878305,
        0.0814601,
        0.080897,
        0.0812243,
        0.0818385,
        0.0831032,
        0.0822823,
        0.0826386,
        0.0824911,
        0.0822121,
        0.0830335,
        0.0834549,
        0.0836381,
        0.0891175,
        0.0890499,
        0.084687,
        0.0836164,
        0.0833549,
        0.0843814,
        0.0837322,
        0.0828012,
        0.0827454,
        0.0853738,
        0.0899218,
        0.0823189,
        0.0808617,
        0.0805336,
        0.0799494,
        0.0803097,
        0.0803075,
        0.080153,
        0.0804798,
        0.0804803,
        0.0798424,
        0.0802857,
        0.080158,
        0.0799922,
        0.0801242,
        0.0799352,
        0.0795056,
        0.0787388,
        0.078611,
        0.0792098,
        0.0801559,
        0.0798659,
        0.0791113,
        0.0785943,
        0.0778376,
        0.0772175,
        0.0764748,
        0.0764257,
        0.0757311,
        0.0744963,
        0.0744301,
        0.075048,
        0.0752612,
        0.0747451,
        0.0751875,
        0.0751397,
        0.0746831,
        0.074539,
        0.0742745,
        0.0746918,
        0.0748518,
        0.0738866,
        0.0739138,
        0.0738815,
        0.0742272,
        0.075821,
        0.0778925,
        0.0795964,
        0.0810015,
        0.0842292,
        0.0885841,
        0.0938948,
        0.098349,
        0.100773,
        0.0995374,
        0.0958678,
        0.0907219,
        0.0868104,
        0.0831825,
        0.0811055,
        0.0789704,
        0.0770685,
        0.0768745,
        0.0765523,
        0.0757271,
        0.0748061,
        0.0742548,
        0.0744096,
        0.0746198,
        0.078476,
        0.0779881,
        0.0760619,
        0.074948,
        0.0730317,
        0.0726152,
        0.0719822,
        0.0720968,
        0.0711292,
        0.0711994,
        0.0710235,
        0.0708008,
        0.0705864,
        0.0706326,
        0.0708774,
        0.0702597,
        0.0701479,
        0.0702903,
        0.069836,
        0.0704117,
        0.0706434,
        0.0694193,
        0.0690568,
        0.0691791,
        0.0703636,
        0.0689137,
        0.0679331,
        0.0679255,
        0.0676607,
        0.0674219,
        0.0677216,
        0.0670398,
        0.0675377,
        0.0673314,
        0.0667857,
        0.0672375,
        0.0672943,
        0.0669554,
        0.0664445,
        0.0668827,
        0.06703,
        0.0675239,
        0.0672889,
        0.0667944,
        0.0672467,
        0.0679109,
        0.0685733,
        0.0686324,
        0.0686101,
        0.0681068,
        0.0674121,
        0.0682259,
        0.068862,
        0.0692652,
        0.069021,
        0.0685061,
        0.0682837,
        0.0686796,
        0.068841,
        0.0687035,
        0.0682199,
        0.0683198,
        0.0690093,
        0.0688208,
        0.0685996,
        0.0680902,
        0.0677435,
        0.0674095,
        0.0674305,
        0.0720918,
        0.0718587,
        0.0674075,
        0.067522,
        0.0671397,
        0.0673634,
        0.0672137,
        0.0666761,
        0.0664466,
        0.0669974,
        0.0668443,
        0.0669365,
        0.0663861,
        0.0654402,
        0.0656409,
        0.0659793,
        0.0652578,
        0.0649258,
        0.0651396,
        0.0656348,
        0.0656227,
        0.0653089,
        0.0650114,
        0.0655925,
        0.0652112,
        0.0649084,
        0.0647918,
        0.0651988,
        0.0653645,
        0.0657312,
        0.0657948,
        0.0653467,
        0.0663131,
        0.0659352,
        0.0662047,
        0.0663584,
        0.06711,
        0.0674584,
        0.0671942,
        0.0673456,
        0.0671408,
        0.067217,
        0.067902,
        0.0681026,
        0.0683754,
        0.0691085,
        0.0701564,
        0.0698236,
        0.0698433,
        0.0692789,
        0.0717572,
        0.0722101,
        0.0697525,
        0.069978,
        0.0695969,
        0.0702487,
        0.0705475,
        0.070168,
        0.0693486,
        0.069923,
        0.0701227,
        0.0690225,
        0.0689012,
        0.0691506,
        0.069629,
        0.069767,
        0.0711777,
        0.0701647,
        0.0701021,
        0.0697128,
        0.0700655,
        0.0701527,
        0.0692709,
        0.0690561,
        0.069744,
        0.0701829,
        0.0703998,
        0.0702234,
        0.0699733,
        0.0699798,
        0.0755515,
        0.0761327,
        0.0713988,
        0.0710171,
        0.0704686,
        0.0708917,
        0.0717871,
        0.0733224,
        0.0785667,
        0.0738916,
        0.0736591,
        0.0747381,
        0.0763978,
        0.079912,
        0.0830078,
        0.0850827,
        0.0877048,
        0.092278,
        0.0986993,
        0.105322,
        0.109571,
        0.106587,
        0.102906,
        0.100368,
        0.0989875,
        0.0984294,
        0.0970488,
        0.0980489,
        0.100932,
        0.104708,
        0.10883,
        0.110922,
        0.111526,
        0.110323,
        0.107679,
        0.104737,
        0.102476,
        0.0996127,
        0.100995,
        0.0970495,
        0.0936694,
        0.0935729,
        0.0934026,
        0.0929967,
        0.0936752,
        0.0935014,
        0.0962027,
        0.0965637,
        0.0949565,
        0.094419,
        0.0940644,
        0.0953186,
        0.0979353,
        0.10059,
        0.101769,
        0.101291,
        0.101683,
        0.104276,
        0.106812,
        0.107482,
        0.107752,
        0.106974,
        0.108272,
        0.114507,
        0.116313,
        0.117099,
        0.121573,
        0.126048,
        0.128311,
        0.132502,
        0.136202,
        0.140658,
        0.144852,
        0.14965,
        0.153849,
        0.171353,
        0.174909,
        0.177119,
        0.179733,
        0.188252,
        0.207602,
        0.214954,
        0.215924,
        0.233479,
        0.249569,
        0.265365,
        0.36594,
        0.318308,
        0.278341,
        0.259765,
        0.240885,
        0.22553,
        0.225126,
        0.211329,
        0.19413,
        0.184874,
        0.175341,
        0.167137,
        0.164003,
        0.160112,
        0.156303,
        0.151391,
        0.148203,
        0.146643,
        0.144475,
        0.142494,
        0.141258,
        0.140912,
        0.140727,
        0.138678,
        0.139482,
        0.135026,
        0.129397,
        0.126996,
        0.12361,
        0.119511,
        0.114497,
        0.10873,
        0.105652,
        0.103672,
        0.101899,
        0.0968796,
        0.0927783,
        0.0893956,
        0.0893459,
        0.0899239,
        0.0882969,
        0.0877645,
        0.0860844,
        0.0837917,
        0.0832961,
        0.0829733,
        0.08237,
        0.0826729,
        0.0828144,
        0.0812063,
        0.0799209,
        0.0797964,
        0.0800937,
        0.0804214,
        0.0819686,
        0.0820032,
        0.0844383,
        0.0858679,
        0.0894458,
        0.0950566,
        0.10098,
        0.101665,
        0.0997058,
        0.0952272,
        0.0889111,
        0.084354,
        0.0813809,
        0.0787634,
        0.0772873,
        0.0761139,
        0.0739015,
        0.0715394,
        0.0709101,
        0.071108,
        0.0704928,
        0.0697569,
        0.0693005,
        0.0690315,
        0.0689307,
        0.0681327,
        0.0669827,
        0.0666144,
        0.0661248,
        0.065482,
        0.0652289,
        0.0648017,
        0.0642622,
        0.0639458,
        0.0633327,
        0.0630196,
        0.0627924,
        0.0629453,
        0.0630307,
        0.0627808,
        0.0678134,
        0.0671679,
        0.0610777,
        0.0600659,
        0.0588412,
        0.0592372,
        0.0596872,
        0.0602426,
        0.0609318,
        0.0589133,
        0.0580596,
        0.057686,
        0.0582821,
        0.0584287,
        0.0587098,
        0.0584641,
        0.0580231,
        0.0576411,
        0.0578166,
        0.0580695,
        0.0579517,
        0.0577214,
        0.0578866,
        0.0584904,
        0.0587613,
        0.0593182,
        0.0590257,
        0.0582243,
        0.0576492,
        0.0586988,
        0.0588105,
        0.0594696,
        0.0595029,
        0.0601725,
        0.0605776,
        0.0608804,
        0.0609702,
        0.061166,
        0.0611274,
        0.0606961,
        0.0614923,
        0.0618508,
        0.0629102,
        0.0636259,
        0.0643272,
        0.0652736,
        0.0668318,
        0.0686801,
        0.0709355,
        0.0734369,
        0.0778378,
        0.0805644,
        0.083765,
        0.0890529,
        0.0957616,
        0.101892,
        0.117278,
        0.115395,
        0.106835,
        0.1015,
        0.0911848,
        0.0872978,
        0.0834698,
        0.0773382,
        0.0738908,
        0.0702927,
        0.0674458,
        0.0652026,
        0.0646923,
        0.0622342,
        0.0611973,
        0.0593244,
        0.0592842,
        0.0580626,
        0.0576012,
        0.0565946,
        0.055946,
        0.0559639,
        0.0552718,
        0.0549957,
        0.0553503,
        0.0549392,
        0.0540769,
        0.0542288,
        0.054252,
        0.0538463,
        0.0536169,
        0.0545123,
        0.0549213,
        0.0541808,
        0.0536842,
        0.053734,
        0.0548485,
        0.0542415,
        0.0538519,
        0.0539194,
        0.0543544,
        0.0545468,
        0.0545605,
        0.0545273,
        0.0548559,
        0.0543788,
        0.05461,
        0.0544704,
        0.0543072,
        0.0543687,
        0.054438,
        0.0566754,
        0.0567387,
        0.0537771,
        0.0534022,
        0.0525874,
        0.0537725,
        0.054096,
        0.0537107,
        0.053445,
        0.0537626,
        0.053146,
        0.0524392,
        0.0522929,
        0.051623,
        0.0523104,
        0.0516692,
        0.0517078,
        0.0519853,
        0.0512264,
        0.0509124,
        0.0507859,
        0.0502285,
        0.0501404,
        0.0506276,
        0.0503676,
        0.0508335,
        0.0506298,
        0.0502469,
        0.049956,
        0.0508654,
        0.0512164,
        0.0509676,
        0.0506721,
        0.0502641,
        0.050715,
        0.0510596,
        0.0515808,
        0.0521701,
        0.0558218,
        0.0562242,
        0.052699,
        0.0532344,
        0.0546098,
        0.0579094,
        0.0591963,
        0.058025,
        0.0593362,
        0.0617101,
        0.0664269,
        0.0715319,
        0.0774437,
        0.0785758,
        0.074967,
        0.0713974,
        0.0676968,
        0.0633229,
        0.0612221,
        0.0591977,
        0.0571342,
        0.0551568,
        0.0547098,
        0.0548641,
        0.0544444,
        0.0543205,
        0.0541056,
        0.054307,
        0.0535011,
        0.0528979,
        0.0526957,
        0.0530188,
        0.05887,
        0.0585067,
        0.0522054,
        0.0520364,
        0.0517629,
        0.0514513,
        0.0541467,
        0.0560718,
        0.0513733,
        0.0504257,
        0.050515,
        0.0503981,
        0.0499008,
        0.0500763,
        0.0502302,
        0.0497006,
        0.0498496,
        0.0494407,
        0.0497702,
        0.0496564,
        0.0491162,
        0.0499069,
        0.049911,
        0.0533509,
        0.0531131,
        0.0499011,
        0.0501548,
        0.0500494,
        0.0531619,
        0.0536173,
        0.0506179,
        0.0508425,
        0.0511594,
        0.0512185,
        0.0511378,
        0.0505949,
        0.0512438,
        0.0554219,
        0.055164,
        0.0520083,
        0.0520237,
        0.0525962,
        0.0523187,
        0.0518961,
        0.0515725,
        0.0524852,
        0.0527213,
        0.0525876,
        0.0533464,
        0.0530062,
        0.0537941,
        0.0538506,
        0.0532501,
        0.0530319,
        0.0534901,
        0.0542391,
        0.0547709,
        0.0548707,
        0.0549815,
        0.0558508,
        0.0561807,
        0.055804,
        0.0555094,
        0.0554404,
        0.0564126,
        0.0563383,
        0.0551792,
        0.0559214,
        0.0556639,
        0.05448,
        0.0551697,
        0.0556025,
        0.0556287,
        0.0558332,
        0.0562414,
        0.0557925,
        0.0558272,
        0.0568814,
        0.0571764,
        0.0579085,
        0.0577284,
        0.0642012,
        0.0637762,
        0.0583519,
        0.0589438,
        0.0598319,
        0.0612411,
        0.0619721,
        0.0621481,
        0.0635171,
        0.0643075,
        0.0670393,
        0.0677569,
        0.0695646,
        0.0714881,
        0.0748731,
        0.0774772,
        0.0806548,
        0.0855189,
        0.0896093,
        0.0955378,
        0.10449,
        0.114256,
        0.128266,
        0.144337,
        0.167634,
        0.201131,
        0.24387,
        0.244733,
        0.200193,
        0.169632,
        0.148804,
        0.131052,
        0.11963,
        0.108631,
        0.101503,
        0.0953447,
        0.0895399,
        0.0843085,
        0.080904,
        0.0773054,
        0.0744481,
        0.0722352,
        0.0711525,
        0.0692004,
        0.0758526,
        0.0740074,
        0.0646734,
        0.0638089,
        0.063627,
        0.0634769,
        0.0621753,
        0.0616652,
        0.061237,
        0.0607351,
        0.0598525,
        0.0606541,
        0.0611601,
        0.0601446,
        0.059629,
        0.0585593,
        0.0586501,
        0.0577043,
        0.0575129,
        0.0592327,
        0.0590745,
        0.0593972,
        0.0593977,
        0.0597257,
        0.0604156,
        0.0611179,
        0.0622856,
        0.0697745,
        0.0699942,
        0.0672567,
        0.0694603,
        0.0682209,
        0.0706634,
        0.0734989,
        0.0779605,
        0.0842717,
        0.0897583,
        0.0940246,
        0.0959679,
        0.0945209,
        0.091282,
        0.0892688,
        0.0884912,
        0.0888446,
        0.09056,
        0.0939164,
        0.100047,
        0.113497,
        0.128365,
        0.137747,
        0.15826,
        0.181088,
        0.196856,
        0.204199,
        0.197208,
        0.176517,
        0.156754,
        0.144942,
        0.127197,
        0.104097,
        0.0944789,
        0.0877944,
        0.0824694,
        0.0775582,
        0.0760501,
        0.0735328,
        0.071496,
        0.0696952,
        0.0691589,
        0.0684703,
        0.0671129,
        0.0660956,
        0.0662767,
        0.0661142,
        0.0664025,
        0.0664705,
        0.0674665,
        0.0679289,
        0.0687815,
        0.0779173,
        0.0778339,
        0.0747169,
        0.0738706,
        0.0686779,
        0.0671593,
        0.0666654,
        0.0667069,
        0.0663555,
        0.0658759,
        0.0659387,
        0.066326,
        0.0667695,
        0.0686772,
        0.0713197,
        0.0711203,
        0.0722079,
        0.083452,
        0.08756,
        0.0832679,
        0.0857434,
        0.0891201,
        0.0882832,
        0.0846709,
        0.083083,
        0.0837241,
        0.0858158,
        0.0883443,
        0.0895635,
        0.0895737,
        0.0903776,
        0.090489,
        0.0892273,
        0.0888907,
        0.089489,
        0.090509,
        0.0917655,
        0.0940818,
        0.0948468,
        0.0954296,
        0.0986867,
        0.101506,
        0.10349,
        0.107094,
        0.111752,
        0.115318,
        0.121314,
        0.130051,
        0.137785,
        0.147766,
        0.15646,
        0.165832,
        0.184398,
        0.207175,
        0.237281,
        0.264572,
        0.265133,
        0.196431,
        0.180862,
        0.169619,
        0.163617,
        0.153965,
        0.146298,
        0.139947,
        0.133472,
        0.12777,
        0.12665,
        0.153925,
        0.155398,
        0.124884,
        0.109221,
        0.106131,
        0.105935,
        0.10375,
        0.104038,
        0.102826,
        0.102353,
        0.0998961,
        0.0973907,
        0.0957188,
        0.096033,
        0.0959223,
        0.095505,
        0.094603,
        0.0927369,
        0.0929232,
        0.100621,
        0.101687,
        0.0942486,
        0.0936375,
        0.0949175,
        0.0973304,
        0.0978562,
        0.0996353,
        0.103019,
        0.109001,
        0.111456,
        0.1136,
        0.121123,
        0.130492,
        0.133789,
        0.136151,
        0.137116,
        0.13132,
        0.124921,
        0.120584,
        0.11625,
        0.115245,
        0.112639,
        0.11039,
        0.110461,
        0.110914,
        0.10864,
        0.107806,
        0.109121,
        0.11314,
        0.114544,
        0.117614,
        0.119066,
        0.122549,
        0.127538,
        0.144077,
        0.152694,
        0.149723,
        0.158663,
        0.159926,
        0.160291,
        0.159247,
        0.157062,
        0.154632,
        0.152715,
        0.151577,
        0.160194,
        0.158883,
        0.158579,
        0.162028,
        0.16341,
        0.170051,
        0.180171,
        0.181041,
        0.183499,
        0.193543,
        0.197394,
        0.206408,
        0.214162,
        0.224678,
        0.244065,
        0.255413,
        0.268395,
        0.285793,
        0.308358,
        0.371919,
        null,
        0.331913,
        0.309829,
        0.280775,
        0.254152,
        0.235198,
        0.221092,
        0.215506,
        0.212018,
        0.203111,
        0.194406,
        0.189747,
        0.183744,
        0.174858,
        0.171549,
        0.163985,
        0.176029,
        0.173677,
        0.154093,
        0.148468,
        0.142851,
        0.13691,
        0.136103,
        0.135324,
        0.131636,
        0.127136,
        0.122993,
        0.123114,
        0.123413,
        0.122233,
        0.120496,
        0.118684,
        0.118856,
        0.115694,
        0.114567,
        0.114385,
        0.112663,
        0.111927,
        0.111272,
        0.107284,
        0.102938,
        0.104834,
        0.107856,
        0.105358,
        0.0950163,
        0.0925561,
        0.0926856,
        0.0909849,
        0.0897962,
        0.0896359,
        0.0884246,
        0.0869619,
        0.085874,
        0.0867894,
        0.0842957,
        0.0806421,
        0.0807137,
        0.0811173,
        0.0805224,
        0.0800541,
        0.0815902,
        0.0781723,
        0.0747921,
        0.0745974,
        0.0746908,
        0.0742521,
        0.0750833,
        0.0749726,
        0.0755346,
        0.0735929,
        0.0730355,
        0.0720448,
        0.0715532,
        0.0709949,
        0.0707014,
        0.0706969,
        0.0706101,
        0.071577,
        0.070534,
        0.0698099,
        0.0692541,
        0.0693823,
        0.0790203,
        0.0763209,
        0.0761785,
        0.0730567,
        0.0714061,
        0.0719362,
        0.0723464,
        0.0725032,
        0.0731077,
        0.0732002,
        0.0767787,
        0.0805312,
        0.0826807,
        0.0856969,
        0.0885088,
        0.0870877,
        0.0908115,
        0.0866849,
        0.0764707,
        0.0742216,
        0.0720701,
        0.0709181,
        0.0709866,
        0.0680726,
        0.0666808,
        0.0663602,
        0.0657264,
        0.0650943,
        0.0647686,
        0.0654672,
        0.0656992,
        0.0687239,
        0.0716616,
        0.0635351,
        0.0631964,
        0.0623975,
        0.0619425,
        0.0611791,
        0.0614606,
        0.061609,
        0.0613946,
        0.0618162,
        0.0605933,
        0.0596154,
        0.058531,
        0.0588921,
        0.0598556,
        0.0597694,
        0.0610614,
        0.0593367,
        0.0591765,
        0.0585864,
        0.0589506,
        0.058065,
        0.0581636,
        0.058182,
        0.0592227,
        0.0613881,
        0.0598207,
        0.0595595,
        0.0586805,
        0.0583744,
        0.059202,
        0.0592783,
        0.0595318,
        0.0587386,
        0.0582743,
        0.0583004,
        0.0583701,
        0.0585141,
        0.0593983,
        0.0608682,
        0.0603645,
        0.0599887,
        0.0606352,
        0.0603251,
        0.0596156,
        0.0634685,
        0.063416,
        0.059482,
        0.060769,
        0.0660687,
        0.0660852,
        0.0646723,
        0.0609307,
        0.0601118,
        0.0595128,
        0.0592214,
        0.0596705,
        0.0592997,
        0.0595906,
        0.0596755,
        0.0590254,
        0.0580983,
        0.0582201,
        0.0578635,
        0.0580943,
        0.0588504,
        0.0580581,
        0.0572389,
        0.0581636,
        0.0585207,
        0.0578018,
        0.0573613,
        0.0570737,
        0.0566724,
        0.0566703,
        0.0566353,
        0.0561701,
        0.0569788,
        0.060533,
        0.0619085,
        0.055322,
        0.055051,
        0.0543595,
        0.0543659,
        0.0544226,
        0.0546876,
        0.0565943,
        0.0558615,
        0.0553376,
        0.0548226,
        0.0548954,
        0.0556152,
        0.0551691,
        0.0564527,
        0.0600447,
        0.057241,
        0.0559251,
        0.0575769,
        0.0678047,
        0.06531,
        0.0648911,
        0.0672464,
        0.0598552,
        0.0576393,
        0.0564274,
        0.055698,
        0.0558896,
        0.0565464,
        0.0584397,
        0.0574768,
        0.056919,
        0.057255,
        0.0612307,
        0.0615082,
        0.057156,
        0.0572846,
        0.0574335,
        0.0576051,
        0.0578768,
        0.0593096,
        0.0648281,
        0.0615144,
        0.0572488,
        0.0570938,
        0.0574032,
        0.0574478,
        0.0568,
        0.0574449,
        0.0575681,
        0.057948,
        0.0575729,
        0.0576097,
        0.0572492,
        0.0577919,
        0.057284,
        0.0563161,
        0.0558433,
        0.0568794,
        0.0632138,
        0.060344,
        0.056246,
        0.0563919,
        0.0563019,
        0.0561587,
        0.0564971,
        0.0559028,
        0.0560889,
        0.0610147,
        0.0611916,
        0.0568187,
        0.0555455,
        0.0551925,
        0.0554515,
        0.0558494,
        0.0570625,
        0.064242,
        0.061483,
        0.0548521,
        0.05472,
        0.0549984,
        0.0559029,
        0.0594384,
        0.0577647,
        0.0571571,
        0.057169,
        0.057488,
        0.0577682,
        0.0581173,
        0.0619191,
        0.0614861,
        0.0587704,
        0.0652065,
        0.0652185,
        0.0594193,
        0.0595948,
        0.0608641,
        0.0627608,
        0.0624258,
        0.0635048,
        0.0655131,
        0.0678242,
        0.071507,
        0.0725617,
        0.0731255,
        0.0737214,
        0.0728391,
        0.0701691,
        0.0671717,
        0.0651202,
        0.0637751,
        0.0634365,
        0.063093,
        0.0610982,
        0.0609891,
        0.0624076,
        0.0659902,
        0.0646964,
        0.0620079,
        0.0622828,
        0.062878,
        0.0638143,
        0.0614721,
        0.0605019,
        0.0674197,
        0.0676662,
        0.0597348,
        0.0593002,
        0.0590245,
        0.0590114,
        0.0582924,
        0.0590033,
        0.0593949,
        0.059076,
        0.0579379,
        0.0581392,
        0.0579295,
        0.0578828,
        0.057761,
        0.0576962,
        0.0578439,
        0.0586063,
        0.0579654,
        0.058129,
        0.0575319,
        0.0570921,
        0.0579142,
        0.0583237,
        0.0580789,
        0.0575535,
        0.0576938,
        0.0576811,
        0.0581698,
        0.0582762,
        0.0635066,
        0.0632237,
        0.0594854,
        0.0589938,
        0.058251,
        0.0625223,
        0.063469,
        0.0600966,
        0.0600634,
        0.0601806,
        0.0600922,
        0.0603795,
        0.0644865,
        0.0651998,
        0.0608711,
        0.061558,
        0.0618357,
        0.0616529,
        0.0623739,
        0.062946,
        0.0664021,
        0.0646125,
        0.0610232,
        0.0604128,
        0.0604633,
        0.0607974,
        0.0605148,
        0.0671197,
        0.0678255,
        0.0611526,
        0.0618711,
        0.067034,
        0.0669359,
        0.0607653,
        0.0604768,
        0.0607235,
        0.0605678,
        0.0609899,
        0.0608167,
        0.0618221,
        0.0618056,
        0.0617427,
        0.0615697,
        0.0617208,
        0.0626015,
        0.0621783,
        0.0613641,
        0.061784,
        0.0631849,
        0.0629817,
        0.0624296,
        0.0621088,
        0.0620874,
        0.0619217,
        0.06132,
        0.0612338,
        0.0617841,
        0.0631891,
        0.0627958,
        0.0627749,
        0.0636451,
        0.0655938,
        0.0660402,
        0.0644821,
        0.0656306,
        0.0660108,
        0.0652399,
        0.065347,
        0.0658083,
        0.0686543,
        0.0697142,
        0.069902,
        0.0710865,
        0.0715098,
        0.0719668,
        0.0730562,
        0.0754684,
        0.0777423,
        0.0802795,
        0.0830522,
        0.0844745,
        0.0958415,
        0.0938891,
        0.091212,
        0.0949778,
        0.0988684,
        0.103516,
        0.108413,
        0.116939,
        0.127209,
        0.138898,
        0.152407,
        0.168336,
        0.19566,
        0.221414,
        0.25521,
        0.273486,
        0.234014,
        0.201743,
        0.178145,
        0.158452,
        0.143295,
        0.131535,
        0.12044,
        0.112468,
        0.106219,
        0.100677,
        0.0982147,
        0.101873,
        0.0979557,
        0.0873228,
        0.084364,
        0.0835247,
        0.0811709,
        0.0782269,
        0.0770204,
        0.0759386,
        0.0761873,
        0.0750548,
        0.0744405,
        0.0736438,
        0.0735398,
        0.0727677,
        0.0724787,
        0.0743662,
        0.0760169,
        0.07007,
        0.0703222,
        0.0702491,
        0.0693767,
        0.0693749,
        0.0705374,
        0.0703129,
        0.0706138,
        0.0700931,
        0.0694296,
        0.0689481,
        0.0696804,
        0.0703301,
        0.0705967,
        0.0716731,
        0.073314,
        0.0744553,
        0.0757771,
        0.0788615,
        0.0813048,
        0.0791045,
        0.0794144,
        0.0800092,
        0.0799843,
        0.0770658,
        0.0758573,
        0.0743494,
        0.0735384,
        0.0721284,
        0.0718098,
        0.0724125,
        0.0721932,
        0.0773202,
        0.0758624,
        0.069992,
        0.068387,
        0.0689749,
        0.0702756,
        0.0709358,
        0.0698865,
        0.0700856,
        0.0687102,
        0.0691324,
        0.0740498,
        0.0736412,
        0.0682709,
        0.0693289,
        0.0697026,
        0.0698494,
        0.0693846,
        0.0688593,
        0.0689419,
        0.0692999,
        0.0706156,
        0.0707745,
        0.071093,
        0.0702839,
        0.0699754,
        0.0688758,
        0.0691155,
        0.07046,
        0.0709625,
        0.0716893,
        0.0717543,
        0.0720455,
        0.0723426,
        0.0735909,
        0.0748914,
        0.0758087,
        0.0754472,
        0.0746043,
        0.0754308,
        0.0760351,
        0.0757272,
        0.0754972,
        0.0750109,
        0.0753878,
        0.0797676,
        0.0869516,
        0.0816572,
        0.0855972,
        0.0915588,
        0.0949799,
        0.0970946,
        0.0966758,
        0.0943645,
        0.091158,
        0.0896556,
        0.090335,
        0.0921383,
        0.0971069,
        0.10074,
        0.103166,
        0.108879,
        0.116042,
        0.121592,
        0.127344,
        0.133953,
        0.134267,
        0.127223,
        0.120332,
        0.121912,
        0.114701,
        0.105853,
        0.099885,
        0.0990405,
        0.0956926,
        0.0883212,
        0.0849876,
        0.0926565,
        0.0900016,
        0.0807682,
        0.0799436,
        0.0798562,
        0.0792375,
        0.0778762,
        0.0770762,
        0.0767993,
        0.0769536,
        0.084948,
        0.0859361,
        0.0782661,
        0.0760183,
        0.0752393,
        0.0749319,
        0.0741525,
        0.0746675,
        0.0750185,
        0.0745498,
        0.0749094,
        0.0751721,
        0.0744436,
        0.0745993,
        0.0762444,
        0.0774815,
        0.0779226,
        0.0778009,
        0.0783406,
        0.0791959,
        0.078665,
        0.077768,
        0.0779051,
        0.0785678,
        0.0792963,
        0.0864388,
        0.0886647,
        0.0807835,
        0.0799752,
        0.0800065,
        0.0800221,
        0.0825289,
        0.0940457,
        0.0882914,
        0.0814484,
        0.0824121,
        0.0821813,
        0.0812225,
        0.0822583,
        0.0821208,
        0.0830689,
        0.0844432,
        0.0832983,
        0.0843238,
        0.086073,
        0.0865139,
        0.0860095,
        0.0862183,
        0.0869737,
        0.0888728,
        0.0902806,
        0.091764,
        0.0910529,
        0.0920399,
        0.0929325,
        0.0959712,
        0.0985027,
        0.0999822,
        0.101015,
        0.104077,
        0.114885,
        0.118435,
        0.114475,
        0.117182,
        0.123282,
        0.127367,
        0.131615,
        0.131122,
        0.130973,
        0.133625,
        0.135502,
        0.138374,
        0.14445,
        0.150557,
        0.155923,
        0.165057,
        0.177321,
        0.194134,
        0.218676,
        0.241416,
        0.270838,
        0.358411,
        0.310599,
        0.262386,
        0.211776,
        0.194602,
        0.179209,
        0.167103,
        0.158137,
        0.151237,
        0.143378,
        0.137666,
        0.133452,
        0.13209,
        0.127932,
        0.122197,
        0.118508,
        0.115467,
        0.113017,
        0.109405,
        0.106294,
        0.107568,
        null,
        0.321502,
        0.325046,
        0.314132,
        0.302746,
        0.305967,
        0.291204,
        0.289576,
        0.295965,
        0.292354,
        0.282699,
        0.281248,
        0.28407,
        0.289759,
        0.290291,
        0.291261,
        0.28699,
        0.283507,
        0.27626,
        0.269461,
        0.268432,
        0.28261,
        0.278919,
        0.276527,
        0.278381,
        0.279732,
        0.311606,
        0.277329,
        0.28225,
        0.284159,
        0.291362,
        0.294108,
        0.292259,
        0.29401,
        0.332295,
        0.331208,
        0.292355,
        0.293671,
        0.294193,
        0.29336,
        0.32081,
        0.321703,
        0.316972,
        0.317369,
        0.30235,
        0.308066,
        0.336832,
        0.338433,
        0.321897,
        0.332283,
        0.323044,
        0.331418,
        0.338073,
        0.33169,
        0.348799,
        null,
        0.295813,
        0.30026,
        0.297254,
        0.263888,
        0.258156,
        0.248656,
        0.247934,
        0.242599,
        0.236327,
        0.232801,
        0.23363,
        0.239755,
        0.234849,
        0.225699,
        0.218497,
        0.215979,
        0.209164,
        0.209189,
        0.209372,
        0.219728,
        0.216573,
        0.208945,
        0.20809,
        0.209165,
        0.203143,
        0.200866,
        0.206692,
        0.19937,
        0.193876,
        0.188083,
        0.186512,
        0.187426,
        0.184475,
        0.183243,
        0.180816,
        0.178973,
        0.17604,
        0.176848,
        0.179049,
        0.17706,
        0.172579,
        0.17182,
        0.17337,
        0.196158,
        0.19591,
        0.166414,
        0.163075,
        0.164313,
        0.162828,
        0.162501,
        0.166888,
        0.168042,
        0.167722,
        0.162738,
        0.165428,
        0.166966,
        0.157866,
        0.16553,
        0.169438,
        0.156668,
        0.156945,
        0.15444,
        0.154395,
        0.156119,
        0.152532,
        0.148694,
        0.15202,
        0.15021,
        0.14849,
        0.147071,
        0.144546,
        0.145383,
        0.146498,
        0.143638,
        0.142634,
        0.144075,
        0.155001,
        0.146005,
        0.144751,
        0.144547,
        0.147161,
        0.149497,
        0.152892,
        0.156869,
        0.165161,
        0.174251,
        0.186794,
        0.211493,
        0.251946,
        0.319576,
        0.259399,
        0.219197,
        0.185343,
        0.16513,
        0.154297,
        0.147175,
        0.142769,
        0.144768,
        0.136943,
        0.131237,
        0.128827,
        0.128275,
        0.128983,
        0.125935,
        0.125872,
        0.126589,
        0.123156,
        0.12187,
        0.124022,
        0.120045,
        0.125368,
        0.121551,
        0.118216,
        0.116595,
        0.116706,
        0.116999,
        0.117323,
        0.127105,
        0.127049,
        0.116256,
        0.114149,
        0.113499,
        0.114131,
        0.115173,
        0.114183,
        0.112511,
        0.11228,
        0.112338,
        0.110502,
        0.108749,
        0.114574,
        0.119429,
        0.106541,
        0.107155,
        0.107575,
        0.106622,
        0.104916,
        0.105514,
        0.107761,
        0.107233,
        0.104056,
        0.103622,
        0.103836,
        0.102093,
        0.100745,
        0.100438,
        0.106597,
        0.107227,
        0.103119,
        0.101803,
        0.10127,
        0.100555,
        0.0995489,
        0.0987749,
        0.0990071,
        0.100374,
        0.0995743,
        0.0998465,
        0.104784,
        0.105245,
        0.101789,
        0.10092,
        0.100986,
        0.10146,
        0.102379,
        0.101307,
        0.102768,
        0.105826,
        0.10826,
        0.11156,
        0.11813,
        0.121623,
        0.121353,
        0.119514,
        0.116063,
        0.111491,
        0.108263,
        0.105568,
        0.110741,
        0.110826,
        0.103787,
        0.10408,
        0.10396,
        0.100759,
        0.0990654,
        0.107827,
        0.106239,
        0.0974334,
        0.0982693,
        0.0991452,
        0.0998587,
        0.0990734,
        0.0981288,
        0.0987102,
        0.0984846,
        0.105592,
        0.104578,
        0.0979944,
        0.0994365,
        0.100129,
        0.0995635,
        0.100758,
        0.101368,
        0.103603,
        0.104165,
        0.105913,
        0.109175,
        0.112427,
        0.113556,
        0.114196,
        0.126079,
        0.133401,
        0.124693,
        0.129522,
        0.139778,
        0.153783,
        0.165846,
        0.184112,
        0.209574,
        0.235499,
        0.254973,
        0.275934,
        0.265892,
        0.244751,
        0.227665,
        0.202837,
        0.182301,
        0.162911,
        0.147741,
        0.141247,
        0.135852,
        0.125471,
        0.115457,
        0.108286,
        0.109172,
        0.106365,
        0.103316,
        0.102243,
        0.101085,
        0.0997581,
        0.0983186,
        0.0973727,
        0.0961722,
        0.0955164,
        0.0948562,
        0.0938121,
        0.0937213,
        0.0937743,
        0.0931181,
        0.0916546,
        0.0905815,
        0.0916016,
        0.0923042,
        0.0921847,
        0.0916175,
        0.0918301,
        0.0901425,
        0.0891824,
        0.0890311,
        0.0897431,
        0.0901509,
        0.091479,
        0.104209,
        0.106413,
        0.0947183,
        0.0957162,
        0.0979449,
        0.105423,
        0.105468,
        0.105957,
        0.109202,
        0.114538,
        0.115652,
        0.116653,
        0.114756,
        0.112042,
        0.107941,
        0.104038,
        0.100573,
        0.0973673,
        0.0951895,
        0.0919608,
        0.0885652,
        0.0912144,
        0.0874552,
        0.0853051,
        0.0888594,
        0.0878708,
        0.0818314,
        0.0820494,
        0.0822049,
        0.0832112,
        0.0820895,
        0.0805082,
        0.0805186,
        0.0819563,
        0.0824082,
        0.0827415,
        0.0818988,
        0.0812135,
        0.0813893,
        0.0809647,
        0.0809687,
        0.0815208,
        0.0804825,
        0.0804085,
        0.0801819,
        0.0807117,
        0.0808968,
        0.0807128,
        0.0799521,
        0.0810938,
        0.0812974,
        0.0812686,
        0.0815257,
        0.0797471,
        0.0786146,
        0.0793926,
        0.0801036,
        0.07913,
        0.0782913,
        0.078058,
        0.0773646,
        0.0759479,
        0.0763967,
        0.0771398,
        0.076817,
        0.0766616,
        0.0852498,
        0.0854318,
        0.0759298,
        0.0799882,
        0.079707,
        0.075517,
        0.0800362,
        0.0791896,
        0.0762226,
        0.0748537,
        0.0738793,
        0.077269,
        0.0760087,
        0.0755759,
        0.0829999,
        0.083559,
        0.0747913,
        0.0746234,
        0.0756448,
        0.0771569,
        0.0779024,
        0.0779356,
        0.0789476,
        0.0814435,
        0.0834154,
        0.0837703,
        0.086767,
        0.0912547,
        0.0958879,
        0.106465,
        0.121328,
        0.14409,
        0.187059,
        0.252192,
        0.243877,
        0.185039,
        0.146017,
        0.123476,
        0.111143,
        0.101575,
        0.0941169,
        0.0896822,
        0.0866141,
        0.085499,
        0.0843543,
        0.0825839,
        0.080876,
        0.0799784,
        0.0799283,
        0.0791623,
        0.079264,
        0.0828154,
        0.0823331,
        0.0761048,
        0.0748613,
        0.0743025,
        0.0746213,
        0.075243,
        0.0745522,
        0.0742944,
        0.07374,
        0.0737859,
        0.0729457,
        0.0728382,
        0.0734422,
        0.0744747,
        0.0738153,
        0.0770303,
        0.0771184,
        0.0722525,
        0.0710536,
        0.0709869,
        0.0717759,
        0.0722867,
        0.0719451,
        0.0726048,
        0.0730685,
        0.0735566,
        0.0814938,
        0.0813209,
        0.0721743,
        0.0713083,
        0.0719472,
        0.074125,
        0.074139,
        0.0729986,
        0.073518,
        0.073517,
        0.0736264,
        0.0745572,
        0.0750201,
        0.0755207,
        0.0765153,
        0.0773077,
        0.0772528,
        0.0774267,
        0.0785423,
        0.078891,
        0.0785646,
        0.0797545,
        0.081003,
        0.0817074,
        0.082989,
        0.0838615,
        0.085762,
        0.0872552,
        0.0903021,
        0.0929618,
        0.0969506,
        0.100907,
        0.106908,
        0.114319,
        0.12197,
        0.129494,
        0.138118,
        0.145862,
        0.15253,
        0.16349,
        0.172272,
        0.179359,
        0.183433,
        0.184946,
        0.180039,
        0.173196,
        0.165368,
        0.160864,
        0.15451,
        0.143286,
        0.135088,
        0.126315,
        0.116312,
        0.108356,
        0.102778,
        0.103822,
        0.101464,
        0.102018,
        0.10039,
        0.0953205,
        0.0952268,
        0.0973693,
        0.101283,
        0.106484,
        0.111302,
        0.119227,
        0.128284,
        0.137991,
        0.140544,
        0.133348,
        0.123551,
        0.116181,
        0.10862,
        0.101249,
        0.095436,
        0.091028,
        0.0877694,
        0.0865554,
        0.0819925,
        0.0855693,
        0.08369,
        0.0772248,
        0.0765703,
        0.0769063,
        0.0762159,
        0.07527,
        0.0752738,
        0.0741237,
        0.0790032,
        0.0748964,
        0.0745556,
        0.0737441,
        0.0729792,
        0.0728899,
        0.073456,
        0.0748181,
        0.0788796,
        0.0756235,
        0.0723766,
        0.0717572,
        0.0765942,
        0.0749582,
        0.0718606,
        0.0711125,
        0.0719289,
        0.0723568,
        0.0720798,
        0.0721934,
        0.0765229,
        0.074283,
        0.072738,
        0.0722937,
        0.071678,
        0.0716886,
        0.0711022,
        0.070033,
        0.069543,
        0.0699835,
        0.0701201,
        0.0700001,
        0.0696525,
        0.0688492,
        0.0697241,
        0.0703352,
        0.0699415,
        0.0698439,
        0.0691654,
        0.0694771,
        0.069842,
        0.0698821,
        0.0690676,
        0.0703232,
        0.0705944,
        0.0711713,
        0.0710302,
        0.071583,
        0.072669,
        0.0743145,
        0.0782445,
        0.0788455,
        0.0824434,
        0.0874856,
        0.0929387,
        0.0973138,
        0.0985457,
        0.0979845,
        0.0951857,
        0.0900841,
        0.0847164,
        0.0825313,
        0.0809868,
        0.0781057,
        0.076694,
        0.0768506,
        0.0750077,
        0.074117,
        0.0741077,
        0.0737218,
        0.0728348,
        0.0730447,
        0.072838,
        0.0799177,
        0.0798496,
        0.0793628,
        0.0778776,
        0.0726029,
        0.072697,
        0.072794,
        0.0722112,
        0.0796204,
        0.0795079,
        0.0710294,
        0.071388,
        0.0714504,
        0.0709264,
        0.0715744,
        0.0786026,
        0.07781,
        0.0698031,
        0.0713861,
        0.0731309,
        0.0735866,
        0.0734529,
        0.0724336,
        0.0726047,
        0.0719081,
        0.0705919,
        0.0703906,
        0.0693399,
        0.0687977,
        0.0690614,
        0.0686452,
        0.0691777,
        0.0684265,
        0.0743219,
        0.0733988,
        0.0692507,
        0.0739871,
        0.0731484,
        0.0675026,
        0.0701556,
        0.0703232,
        0.0692654,
        0.0688353,
        0.069661,
        0.0698738,
        0.0700499,
        0.0701272,
        0.0712358,
        0.0772287,
        0.0784941,
        0.0744998,
        0.0752188,
        0.075125,
        0.0751412,
        0.0771808,
        0.0775113,
        0.0775375,
        0.0760188,
        0.0756041,
        0.0745865,
        0.0729071,
        0.0728794,
        0.0734844,
        0.0722985,
        0.0710128,
        0.0709923,
        0.071625,
        0.0722455,
        0.0715791,
        0.0762746,
        0.0751977,
        0.0771521,
        0.0745783,
        0.0723122,
        0.0719882,
        0.0704081,
        0.0695279,
        0.069736,
        0.0703735,
        0.07053,
        0.0704822,
        0.0716804,
        0.0727101,
        0.0743903,
        0.0756979,
        0.0764927,
        0.0771808,
        0.083365,
        0.0779438,
        0.0764148,
        0.0750638,
        0.074741,
        0.0740417,
        0.0801968,
        0.0788762,
        0.0714818,
        0.0720661,
        0.0711764,
        0.0700232,
        0.0742544,
        0.0744936,
        0.070265,
        0.0712057,
        0.0711971,
        0.0727533,
        0.0733046,
        0.0725626,
        0.0743713,
        0.0776855,
        0.0817556,
        0.0872063,
        0.0959288,
        0.113577,
        0.133907,
        0.150849,
        0.156732,
        0.151387,
        0.138873,
        0.1207,
        0.104866,
        0.0982131,
        0.0923842,
        0.0872823,
        0.0831182,
        0.082072,
        0.0791599,
        0.0761987,
        0.0747403,
        0.0749092,
        0.0747702,
        0.0745283,
        0.0746105,
        0.0748139,
        0.0749543,
        0.0737655,
        0.0725605,
        0.0727891,
        0.0738653,
        0.0744879,
        0.0746835,
        0.0752443,
        0.0747797,
        0.075344,
        0.0773588,
        0.079874,
        0.0809133,
        0.0839771,
        0.0866712,
        0.0889902,
        0.0866134,
        0.0846435,
        0.0825585,
        0.0795073,
        0.0775091,
        0.0777663,
        0.0772776,
        0.0736042,
        0.0728922,
        0.0733616,
        0.0729057,
        0.0733938,
        0.0739478,
        0.0785623,
        0.0804847,
        0.0764675,
        0.0752769,
        0.072494,
        0.0756366,
        0.0795685,
        0.0804555,
        0.0806394,
        0.0827733,
        0.0876753,
        0.0927875,
        0.101449,
        0.110959,
        0.121256,
        0.122906,
        0.119022,
        0.113482,
        0.106606,
        0.100571,
        0.0943978,
        0.0899555,
        0.0889708,
        0.0967995,
        0.094794,
        0.0833957,
        0.0816954,
        0.0806075,
        0.080451,
        0.0806935,
        0.0794386,
        0.0791882,
        0.0810078,
        0.0819579,
        0.082266,
        0.0826923,
        0.0845799,
        0.0880898,
        0.0928761,
        0.0955318,
        0.0999485,
        0.105502,
        0.110026,
        0.114284,
        0.11595,
        0.106737,
        0.096942,
        0.0908579,
        0.0879333,
        0.0850522,
        0.0823152,
        0.0846588,
        0.0847778,
        0.0809854,
        0.0812346,
        0.0806233,
        0.0793113,
        0.0781399,
        0.0802135,
        0.0816773,
        0.0817308,
        0.0828217,
        0.0840255,
        0.0857426,
        0.0904357,
        0.0943712,
        0.102618,
        0.112492,
        0.120044,
        0.119729,
        0.113921,
        0.107817,
        0.103416,
        0.0988485,
        0.0942884,
        0.0901168,
        0.0884433,
        0.0865225,
        0.0851488,
        0.0843945,
        0.0835076,
        0.0840073,
        0.084814,
        0.085377,
        0.0874005,
        0.089198,
        0.0907207,
        0.0924521,
        0.0966274,
        0.100348,
        0.10728,
        0.120575,
        0.132591,
        0.145286,
        0.14681,
        0.141758,
        0.132326,
        0.126048,
        0.116597,
        0.108096,
        0.104171,
        0.101724,
        0.100049,
        0.0984946,
        0.100026,
        0.0992468,
        0.0983626,
        0.0990145,
        0.0999079,
        0.100451,
        0.103977,
        0.107695,
        0.115268,
        0.128628,
        0.137574,
        0.142326,
        0.162095,
        0.175966,
        0.180228,
        0.172142,
        0.157694,
        0.146379,
        0.135956,
        0.125731,
        0.11959,
        0.114319,
        0.111067,
        0.109314,
        0.109853,
        0.109872,
        0.111215,
        0.112096,
        0.115854,
        0.119512,
        0.12275,
        0.128812,
        0.140169,
        0.163083,
        0.178462,
        0.202685,
        0.217634,
        0.218605,
        0.202912,
        0.18215,
        0.166775,
        0.156707,
        0.149697,
        0.145566,
        0.140769,
        0.137162,
        0.139307,
        0.140449,
        0.139349,
        0.144023,
        0.14814,
        0.155123,
        0.167932,
        0.1843,
        0.203244,
        0.229194,
        0.269548,
        0.294008,
        0.263442,
        0.239276,
        0.221299,
        0.209477,
        0.20804,
        0.195802,
        0.196599,
        0.196001,
        0.199754,
        0.225604,
        0.235126,
        0.278952,
        0.394809,
        null,
        0.283388,
        0.251277,
        0.242663,
        0.241974,
        0.249744,
        0.261161,
        0.285734,
        0.301945,
        0.287867,
        0.267737,
        0.25243,
        0.22443,
        0.195007,
        0.179406,
        0.165409,
        0.15434,
        0.146584,
        0.139827,
        0.133201,
        0.128961,
        0.126977,
        0.123844,
        0.122412,
        0.122358,
        0.121503,
        0.12126,
        0.123405,
        0.127088,
        0.130418,
        0.136335,
        0.142829,
        0.148771,
        0.155373,
        0.167815,
        0.187413,
        0.208925,
        0.238804,
        0.276451,
        0.276988,
        0.23234,
        0.207594,
        0.188429,
        0.170093,
        0.153748,
        0.139696,
        0.131508,
        0.124979,
        0.122722,
        0.119267,
        0.114109,
        0.124714,
        0.122176,
        0.106017,
        0.106822,
        0.104277,
        0.0998739,
        0.0968742,
        0.0955875,
        0.0962592,
        0.0948346,
        0.0933359,
        0.0920351,
        0.0925769,
        0.0914942,
        0.0887141,
        0.0889065,
        0.0895447,
        0.0890086,
        0.0878781,
        0.0852962,
        0.0846943,
        0.0837572,
        0.0914773,
        0.0922311,
        0.0855513,
        0.0963714,
        0.0941159,
        0.0830065,
        0.0825657,
        0.0828825,
        0.0822108,
        0.0821406,
        0.0819412,
        0.0817229,
        0.0816922,
        0.0815456,
        0.0809612,
        0.0805381,
        0.0804118,
        0.0804871,
        0.0803386,
        0.0812403,
        0.0826124,
        0.0819264,
        0.0799223,
        0.0794191,
        0.0801852,
        0.080525,
        0.0798309,
        0.0820959,
        0.0816827,
        0.0799246,
        0.0784392,
        0.0793864,
        0.0799218,
        0.0796427,
        0.0801774,
        0.0795329,
        0.0797131,
        0.085239,
        0.0861312,
        0.0813484,
        0.0815099,
        0.0811373,
        0.0801965,
        0.0802369,
        0.0808843,
        0.0806363,
        0.0807215,
        0.0811004,
        0.0802885,
        0.0799375,
        0.0798681,
        0.0798477,
        0.0800556,
        0.0796691,
        0.079443,
        0.0795349,
        0.0803132,
        0.0795809,
        0.0787238,
        0.07817,
        0.078085,
        0.078367,
        0.0792352,
        0.0783575,
        0.0768343,
        0.0765249,
        0.0780821,
        0.0782347,
        0.0781719,
        0.0781907,
        0.0784683,
        0.0784772,
        0.0772528,
        0.0762201,
        0.0758786,
        0.0762624,
        0.0754733,
        0.0754653,
        0.0763613,
        0.0768964,
        0.07589,
        0.0756093,
        0.0762911,
        0.0766661,
        0.0783259,
        0.0777451,
        0.0773153,
        0.0774096,
        0.0777071,
        0.0774701,
        0.0847269,
        0.0830573,
        0.0778292,
        0.0773106,
        0.0782063,
        0.0789556,
        0.0792799,
        0.0795571,
        0.0791371,
        0.0796789,
        0.0803775,
        0.0807659,
        0.0812458,
        0.0809905,
        0.0827155,
        0.0855458,
        0.0900927,
        0.0852654,
        0.0857147,
        0.0847249,
        0.0845715,
        0.0861084,
        0.0891,
        0.0925923,
        0.0936544,
        0.0935989,
        0.0931202,
        0.0906157,
        0.0886031,
        0.0884705,
        0.0884332,
        0.0879005,
        0.0854366,
        0.0826954,
        0.0815276,
        0.0835999,
        0.0834063,
        0.0817238,
        0.0810581,
        0.0822792,
        0.0824362,
        0.0827276,
        0.08295,
        0.084047,
        0.0842664,
        0.0831893,
        0.0848776,
        0.0865253,
        0.0863963,
        0.0869352,
        0.0876758,
        0.0880812,
        0.088537,
        0.0875483,
        0.0866379,
        0.0868704,
        0.087428,
        0.0868865,
        0.0866214,
        0.0838414,
        0.0821231,
        0.0821522,
        0.082233,
        0.0810644,
        0.0807984,
        0.0801116,
        0.0799976,
        0.0799126,
        0.0805075,
        0.0812354,
        0.0807479,
        0.0814504,
        0.0810488,
        0.0812971,
        0.087224,
        0.090457,
        0.0815054,
        0.0825476,
        0.0828292,
        0.0826706,
        0.0821352,
        0.0807195,
        0.0809318,
        0.0817775,
        0.0812072,
        0.080504,
        0.0813959,
        0.0822226,
        0.0828759,
        0.0830416,
        0.0828114,
        0.0919597,
        0.0898407,
        0.0817768,
        0.0822851,
        0.0835097,
        0.0831697,
        0.0834732,
        0.0820401,
        0.0815802,
        0.0814101,
        0.0815106,
        0.0823511,
        0.0826608,
        0.0827442,
        0.0822516,
        0.0822905,
        0.0821097,
        0.0810074,
        0.0811029,
        0.0813768,
        0.0813709,
        0.0810274,
        0.0819437,
        0.0808448,
        0.0791488,
        0.0794938,
        0.0786565,
        0.0790431,
        0.0796444,
        0.0797399,
        0.0793832,
        0.0801681,
        0.0809178,
        0.0807709,
        0.0798341,
        0.0791845,
        0.079801,
        0.0842459,
        0.0843437,
        0.0807425,
        0.0793037,
        0.0774642,
        0.0776406,
        0.0786079,
        0.0801523,
        0.0804116,
        0.0798371,
        0.0799417,
        0.0808579,
        0.0818774,
        0.0824409,
        0.0826797,
        0.0804812,
        0.0794704,
        0.0885411,
        0.0907845,
        0.0841238,
        0.0841847,
        0.0827525,
        0.082605,
        0.0828299,
        0.0827609,
        0.0823324,
        0.082881,
        0.0841714,
        0.084173,
        0.0828562,
        0.082986,
        0.0837501,
        0.0833601,
        0.0848626,
        0.0848371,
        0.0836432,
        0.083093,
        0.0840135,
        0.0844358,
        0.0847498,
        0.0850404,
        0.0847856,
        0.0840276,
        0.0843992,
        0.0848324,
        0.085384,
        0.0849018,
        null,
        0.235687,
        0.251394,
        0.268027,
        0.284663,
        0.30333,
        0.327983,
        0.336066,
        0.302864,
        0.287111,
        0.272303,
        0.252865,
        0.235415,
        0.225211,
        0.220219,
        0.213745,
        0.225573,
        0.220445,
        0.199289,
        0.193098,
        0.19005,
        0.187653,
        0.185577,
        0.182892,
        0.180495,
        0.17867,
        0.178367,
        0.178666,
        0.17741,
        0.1745,
        0.171911,
        0.172245,
        0.17101,
        0.171176,
        0.173785,
        0.174354,
        0.17496,
        0.174967,
        0.175773,
        0.176376,
        0.176541,
        0.176141,
        0.177274,
        0.178646,
        0.179247,
        0.18038,
        0.181932,
        0.185847,
        0.193641,
        0.201099,
        0.206788,
        0.21442,
        0.230519,
        0.253162,
        0.28126,
        0.560239,
        0.566366,
        0.334515,
        0.287927,
        0.259043,
        0.24248,
        0.228217,
        0.215237,
        0.20818,
        0.204387,
        0.201011,
        0.197979,
        0.193553,
        0.190418,
        0.190319,
        0.186072,
        0.184995,
        0.188517,
        0.18934,
        0.184306,
        0.197257,
        0.1945,
        0.177411,
        0.178624,
        0.178225,
        0.177769,
        0.177113,
        0.174428,
        0.171034,
        0.17021,
        0.169134,
        0.169944,
        0.171966,
        0.172331,
        0.173012,
        0.171138,
        0.169019,
        0.167577,
        0.166578,
        0.169888,
        0.173927,
        0.169315,
        0.16702,
        0.166177,
        0.167254,
        0.168614,
        0.170655,
        0.169741,
        0.168026,
        0.167407,
        0.168104,
        0.168588,
        0.172627,
        0.174118,
        0.174053,
        0.173355,
        0.175208,
        0.175123,
        0.174523,
        0.17501,
        0.176063,
        0.176977,
        0.177002,
        0.17942,
        0.181227,
        0.184006,
        0.183107,
        0.184388,
        0.184879,
        0.186152,
        0.184896,
        0.183965,
        0.182005,
        0.200122,
        0.201566,
        0.186961,
        0.187725,
        0.186862,
        0.182434,
        0.18103,
        0.183556,
        0.188515,
        0.190952,
        0.194021,
        0.192949,
        0.189094,
        0.186218,
        0.186553,
        0.187087,
        0.187255,
        0.190383,
        0.192694,
        0.190666,
        0.186874,
        0.18716,
        0.189437,
        0.1915,
        0.19245,
        0.19304,
        0.191341,
        0.191718,
        0.19522,
        0.197886,
        0.202409,
        0.201572,
        0.200324,
        0.199923,
        0.198478,
        0.196888,
        0.20178,
        0.204879,
        0.207973,
        0.208172,
        0.209567,
        0.212484,
        0.216187,
        0.221871,
        0.223756,
        0.227191,
        0.230588,
        0.237035,
        0.240912,
        0.244946,
        0.257886,
        0.267444,
        0.282532,
        0.298238,
        0.318067,
        0.48077,
        0.45199,
        0.42512,
        0.373823,
        0.344665,
        0.308841,
        0.303723,
        0.294972,
        0.289288,
        0.277257,
        0.271399,
        0.276736,
        0.273477,
        0.268477,
        0.2627,
        0.265481,
        0.268987,
        0.265962,
        0.278008,
        0.269357,
        0.275544,
        0.298341,
        0.298,
        0.278254,
        0.28024,
        0.285251,
        0.294882,
        0.305387,
        0.310267,
        0.326332,
        0.345298,
        0.360107,
        0.443488,
        0.414624,
        0.405265,
        0.390578,
        0.379129,
        0.362082,
        0.36255,
        0.345081,
        0.352144,
        0.353697,
        0.357971,
        0.349682,
        0.34459,
        0.341633,
        0.350777,
        0.365554,
        0.366787,
        0.365778,
        0.360128,
        0.360321,
        0.381599,
        0.37303,
        0.377917,
        0.405926,
        0.421966,
        0.411806,
        0.474878,
        0.513072,
        null,
        0.477586,
        0.449958,
        0.440566,
        0.38308,
        0.378266,
        0.364326,
        0.361108,
        0.374244,
        0.363383,
        0.363953,
        0.362304,
        0.356842,
        0.347379,
        0.347718,
        0.343759,
        0.329352,
        0.329343,
        0.331802,
        0.336788,
        0.330563,
        0.324231,
        0.335032,
        0.352058,
        0.336037,
        0.336273,
        0.344996,
        0.346905,
        0.361991,
        0.716613,
        0.366352,
        0.375795,
        0.329,
        0.332614,
        0.340162,
        0.330434,
        0.320989,
        0.320591,
        0.31543,
        0.333291,
        0.327873,
        0.316579,
        0.311298,
        0.317488,
        0.314646,
        0.302977,
        0.307058,
        0.310756,
        0.32392,
        0.330371,
        0.313791,
        0.304401,
        0.297837,
        0.290236,
        0.287035,
        0.305274,
        0.308734,
        0.307486,
        0.303018,
        0.306049,
        0.309783,
        0.306671,
        0.302641,
        0.310744,
        0.32169,
        0.317726,
        0.312342,
        0.312302,
        0.309074,
        0.309919,
        0.315332,
        0.316257,
        0.315787,
        0.315021,
        0.323957,
        0.316806,
        0.305799,
        0.310089,
        0.318272,
        0.33023,
        0.339928,
        0.343456,
        0.358339,
        0.349891,
        0.345326,
        0.345013,
        0.34683,
        0.357018,
        0.386621,
        0.397649,
        0.391255,
        0.411007,
        0.491076,
        0.450556,
        0.429286,
        0.439508,
        0.434826,
        0.436463,
        0.439835,
        0.485121,
        0.491109,
        null,
        0.537511,
        0.467665,
        0.441687,
        0.428734,
        0.418136,
        0.423519,
        0.395138,
        0.398495,
        0.392562,
        0.397301,
        0.401687,
        0.42623,
        0.433714,
        0.410658,
        0.377981,
        0.374951,
        0.373917,
        0.376214,
        0.392208,
        0.388693,
        0.369832,
        0.388845,
        0.389439,
        0.361519,
        0.369602,
        0.384316,
        0.375459,
        0.35711,
        0.350567,
        0.339109,
        0.334392,
        0.337689,
        0.33855,
        0.343043,
        0.346662,
        0.347191,
        0.328808,
        0.32197,
        0.326099,
        0.330694,
        0.325321,
        0.314786,
        0.315512,
        0.314498,
        0.309538,
        0.310278,
        0.306987,
        0.296795,
        0.290153,
        0.298443,
        0.297417,
        0.293607,
        0.295426,
        0.295716,
        0.300051,
        0.308366,
        0.317134,
        0.320706,
        0.332043,
        0.329988,
        0.30366,
        0.30736,
        0.337748,
        0.346931,
        0.329704,
        0.335553,
        0.349032,
        0.370867,
        0.393683,
        0.425534,
        0.456909,
        0.335711,
        0.321838,
        0.312538,
        0.301369,
        0.29487,
        0.286038,
        0.276548,
        0.274069,
        0.269969,
        0.25462,
        0.263928,
        0.261777,
        0.259232,
        0.256751,
        0.252481,
        0.256866,
        0.258577,
        0.265963,
        0.282284,
        0.308759,
        0.349912,
        0.404445,
        0.353816,
        0.325826,
        0.317032,
        0.335103,
        0.39349,
        0.359791,
        0.337962,
        0.303318,
        0.260987,
        0.245569,
        0.237808,
        0.236478,
        0.231993,
        0.226315,
        0.220423,
        0.214576,
        0.212481,
        0.21085,
        0.213745,
        0.213192,
        0.233354,
        0.234787,
        0.209735,
        0.209019,
        0.208845,
        0.211758,
        0.214051,
        0.217031,
        0.215343,
        0.209159,
        0.204565,
        0.207526,
        0.211701,
        0.209901,
        0.209115,
        0.209143,
        0.206005,
        0.205498,
        0.206871,
        0.209449,
        0.210327,
        0.21559,
        0.210078,
        0.213025,
        0.208496,
        0.208946,
        0.219426,
        0.214701,
        0.206763,
        0.205572,
        0.213433,
        0.216138,
        0.206769,
        0.206828,
        0.209946,
        0.212135,
        0.212502,
        0.210859,
        0.212674,
        0.215923,
        0.215981,
        0.216768,
        0.214102,
        0.21649,
        0.222102,
        0.228439,
        0.236471,
        0.252141,
        0.270474,
        0.265682,
        0.286224,
        0.323159,
        0.373667,
        0.441303,
        0.454864,
        0.370778,
        0.308146,
        0.287212,
        0.274452,
        0.260253,
        0.246443,
        0.242,
        0.248613,
        0.228451,
        0.223062,
        0.213439,
        0.212878,
        0.211557,
        0.208425,
        0.208634,
        0.209705,
        0.211666,
        0.211629,
        0.208853,
        0.20695,
        0.204926,
        0.204026,
        0.20301,
        0.202939,
        0.210551,
        0.209425,
        0.202433,
        0.207105,
        0.204525,
        0.200278,
        0.202193,
        0.203218,
        0.205891,
        0.205714,
        0.204671,
        0.219556,
        0.223256,
        0.209687,
        0.211388,
        0.215159,
        0.217308,
        0.21484,
        0.219305,
        0.223058,
        0.231542,
        0.234635,
        0.249485,
        0.253374,
        0.265066,
        0.27762,
        0.273024,
        0.289577,
        0.324487,
        0.389247,
        0.467691,
        0.358998,
        0.322452,
        0.304173,
        0.288756,
        0.267442,
        0.255533,
        0.248227,
        0.24046,
        0.229403,
        0.2223,
        0.213999,
        0.217657,
        0.212986,
        0.205721,
        0.212177,
        0.21133,
        0.198607,
        0.198323,
        0.198476,
        0.195615,
        0.192539,
        0.188863,
        0.190184,
        0.187486,
        0.18411,
        0.18922,
        0.188653,
        0.192886,
        0.19064,
        0.179019,
        0.181179,
        0.200164,
        0.195773,
        0.174999,
        0.173445,
        0.171877,
        0.172268,
        0.174033,
        0.17325,
        0.174042,
        0.173409,
        0.172625,
        0.173277,
        0.171084,
        0.170232,
        0.171639,
        0.172793,
        0.171943,
        0.17462,
        0.176645,
        0.174786,
        0.175622,
        0.176682,
        0.178665,
        0.177819,
        0.176787,
        0.175328,
        0.177952,
        0.179864,
        0.180207,
        0.17779,
        0.175827,
        0.178162,
        0.182214,
        0.181352,
        0.179042,
        0.188278,
        0.188374,
        0.178047,
        0.180412,
        0.198589,
        0.197271,
        0.179991,
        0.17559,
        0.177284,
        0.180098,
        0.180527,
        0.177639,
        0.177677,
        0.180256,
        0.178089,
        0.174198,
        0.176691,
        0.180597,
        0.199039,
        0.193224,
        0.178288,
        0.178187,
        0.176691,
        0.17641,
        0.176579,
        0.176611,
        0.177355,
        0.175891,
        0.174868,
        0.175231,
        0.17784,
        0.178918,
        0.172349,
        0.174214,
        0.175206,
        0.176196,
        0.186935,
        0.188324,
        0.177627,
        0.17948,
        0.17957,
        0.177662,
        0.174166,
        0.173706,
        0.176049,
        0.173978,
        0.177066,
        0.181144,
        0.18007,
        0.176958,
        0.177787,
        0.178812,
        0.181236,
        0.18716,
        0.184574,
        0.18062,
        0.184127,
        0.191131,
        0.193734,
        0.19912,
        0.18965,
        0.189707,
        0.189777,
        0.189997,
        0.189601,
        0.190992,
        0.193376,
        0.194752,
        0.191684,
        0.192845,
        0.194849,
        0.193209,
        0.192548,
        0.197444,
        0.198704,
        0.197051,
        0.19827,
        0.201365,
        0.208535,
        0.208216,
        0.20616,
        0.208403,
        0.207187,
        0.209921,
        0.214896,
        0.223972,
        0.227231,
        0.232084,
        0.23763,
        0.246584,
        0.258076,
        0.268607,
        0.289936,
        0.306899,
        0.331978,
        0.362454,
        0.405719,
        0.459465,
        0.390298,
        0.350153,
        0.317705,
        0.298709,
        0.289288,
        0.279664,
        0.267501,
        0.25855,
        0.246487,
        0.241055,
        0.238439,
        0.235585,
        0.23342,
        0.226826,
        0.219124,
        0.217152,
        0.224546,
        0.213685,
        0.210974,
        0.21195,
        0.212416,
        0.21419,
        0.216286,
        0.21348,
        0.215654,
        0.21376,
        0.210098,
        0.210106,
        0.211399,
        0.213241,
        0.214703,
        0.218238,
        0.221121,
        0.21396,
        0.211174,
        0.208027,
        0.207036,
        0.212978,
        0.218498,
        0.21618,
        0.213224,
        0.215533,
        0.216265,
        0.214457,
        0.219932,
        0.211689,
        0.213344,
        0.210991,
        0.213823,
        0.219097,
        0.218894,
        0.217557,
        0.213537,
        0.214238,
        0.214398,
        0.213163,
        0.216397,
        0.221014,
        0.224929,
        0.224292,
        0.227419,
        0.232418,
        0.232324,
        0.2313,
        0.236542,
        0.267983,
        0.257887,
        0.24909,
        0.260525,
        0.269332,
        0.280163,
        0.296524,
        0.318022,
        0.338277,
        0.363852,
        0.378343,
        0.365597,
        0.354508,
        0.35035,
        0.340621,
        0.32403,
        0.300442,
        0.281281,
        0.280643,
        0.281542,
        0.276795,
        0.269607,
        0.265463,
        0.26247,
        0.256705,
        0.257334,
        0.260496,
        0.25415,
        0.256856,
        0.258622,
        0.255892,
        0.26571,
        0.266435,
        0.26157,
        0.255037,
        0.251173,
        0.250622,
        0.254405,
        0.254336,
        0.252566,
        0.261414,
        0.260152,
        0.254124,
        0.258635,
        0.259563,
        0.261531,
        0.259296,
        0.258791,
        0.262715,
        0.265705,
        0.269177,
        0.272798,
        0.263801,
        0.273365,
        0.27273,
        0.268582,
        0.270904,
        0.269651,
        0.269481,
        0.271774,
        0.273108,
        0.270346,
        0.267711,
        0.269653,
        0.272903,
        0.273193,
        0.284278,
        0.29001,
        0.290667,
        0.2877,
        0.301371,
        0.318888,
        0.298138,
        0.303654,
        0.30312,
        0.300458,
        0.299505,
        0.302556,
        0.307395,
        0.309736,
        0.3099,
        0.314172,
        0.32092,
        0.324154,
        0.32801,
        0.337062,
        0.334175,
        0.329727,
        0.334617,
        0.350338,
        0.358834,
        0.37055,
        0.369647,
        0.368757,
        0.370248,
        0.374382,
        0.38985,
        0.387413,
        0.38715,
        0.422984,
        0.433921,
        0.453888
    ]
}